TPTP Problem File: NLP003^7.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : NLP003^7 : TPTP v8.2.0. Released v5.5.0.
% Domain : Natural Language Processing
% Problem : "The old dirty white Chevy" problem 3
% Version : [Ben12] axioms.
% English :
% Refs : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an
% : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% Source : [Ben12]
% Names : s4-cumul-NLP003+1 [Ben12]
% Status : CounterSatisfiable
% Rating : 0.75 v8.2.0, 1.00 v8.1.0, 0.80 v7.4.0, 0.75 v7.2.0, 0.67 v5.5.0
% Syntax : Number of formulae : 188 ( 33 unt; 72 typ; 32 def)
% Number of atoms : 715 ( 36 equ; 0 cnn)
% Maximal formula atoms : 33 ( 6 avg)
% Number of connectives : 996 ( 5 ~; 5 |; 9 &; 967 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 259 ( 259 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 79 usr; 9 con; 0-4 aty)
% Number of variables : 245 ( 204 ^; 34 !; 7 ?; 245 :)
% SPC : TH0_CSA_EQU_NAR
% Comments :
%------------------------------------------------------------------------------
%----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(vehicle_type,type,
vehicle: mu > $i > $o ).
thf(transport_type,type,
transport: mu > $i > $o ).
thf(instrumentality_type,type,
instrumentality: mu > $i > $o ).
thf(artifact_type,type,
artifact: mu > $i > $o ).
thf(location_type,type,
location: mu > $i > $o ).
thf(object_type,type,
object: mu > $i > $o ).
thf(new_type,type,
new: mu > $i > $o ).
thf(eventuality_type,type,
eventuality: mu > $i > $o ).
thf(abstraction_type,type,
abstraction: mu > $i > $o ).
thf(man_type,type,
man: mu > $i > $o ).
thf(male_type,type,
male: mu > $i > $o ).
thf(female_type,type,
female: mu > $i > $o ).
thf(woman_type,type,
woman: mu > $i > $o ).
thf(proposition_type,type,
proposition: mu > $i > $o ).
thf(drs_type,type,
drs: mu > $i > $o ).
thf(entity_type,type,
entity: mu > $i > $o ).
thf(owner_type,type,
owner: mu > $i > $o ).
thf(human_type,type,
human: mu > $i > $o ).
thf(nonhuman_type,type,
nonhuman: mu > $i > $o ).
thf(have_type,type,
have: mu > mu > mu > $i > $o ).
thf(of_type,type,
of: mu > mu > $i > $o ).
thf(partof_type,type,
partof: mu > 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(lonely_type,type,
lonely: mu > $i > $o ).
thf(way_type,type,
way: mu > $i > $o ).
thf(street_type,type,
street: 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(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
@ ( mforall_ind
@ ^ [X: mu] : ( qmltpeq @ X @ X ) ) ) ).
thf(symmetry,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
thf(transitivity,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] :
( mforall_ind
@ ^ [Z: mu] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
thf(abstraction_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( abstraction @ A ) ) @ ( abstraction @ B ) ) ) ) ) ).
thf(artifact_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( artifact @ A ) ) @ ( artifact @ B ) ) ) ) ) ).
thf(barrel_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
thf(barrel_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
thf(car_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
thf(chevy_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
thf(city_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
thf(dirty_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
thf(down_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
thf(down_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
thf(drs_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( drs @ A ) ) @ ( drs @ B ) ) ) ) ) ).
thf(entity_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( entity @ A ) ) @ ( entity @ B ) ) ) ) ) ).
thf(event_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
thf(eventuality_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( eventuality @ A ) ) @ ( eventuality @ B ) ) ) ) ) ).
thf(female_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( female @ A ) ) @ ( female @ B ) ) ) ) ) ).
thf(have_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] :
( mforall_ind
@ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ A @ C @ D ) ) @ ( have @ B @ C @ D ) ) ) ) ) ) ) ).
thf(have_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] :
( mforall_ind
@ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ C @ A @ D ) ) @ ( have @ C @ B @ D ) ) ) ) ) ) ) ).
thf(have_substitution_3,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] :
( mforall_ind
@ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ C @ D @ A ) ) @ ( have @ C @ D @ B ) ) ) ) ) ) ) ).
thf(hollywood_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
thf(human_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( human @ A ) ) @ ( human @ B ) ) ) ) ) ).
thf(in_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
thf(in_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
thf(instrumentality_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( instrumentality @ A ) ) @ ( instrumentality @ B ) ) ) ) ) ).
thf(location_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( location @ A ) ) @ ( location @ B ) ) ) ) ) ).
thf(lonely_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
thf(male_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( male @ A ) ) @ ( male @ B ) ) ) ) ) ).
thf(man_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
thf(new_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( new @ A ) ) @ ( new @ B ) ) ) ) ) ).
thf(nonhuman_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( nonhuman @ A ) ) @ ( nonhuman @ B ) ) ) ) ) ).
thf(object_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( object @ A ) ) @ ( object @ B ) ) ) ) ) ).
thf(of_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( of @ A @ C ) ) @ ( of @ B @ C ) ) ) ) ) ) ).
thf(of_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( of @ C @ A ) ) @ ( of @ C @ B ) ) ) ) ) ) ).
thf(old_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
thf(owner_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( owner @ A ) ) @ ( owner @ B ) ) ) ) ) ).
thf(partof_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( partof @ A @ C ) ) @ ( partof @ B @ C ) ) ) ) ) ) ).
thf(partof_substitution_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( partof @ C @ A ) ) @ ( partof @ C @ B ) ) ) ) ) ) ).
thf(proposition_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( proposition @ A ) ) @ ( proposition @ B ) ) ) ) ) ).
thf(street_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
thf(transport_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( transport @ A ) ) @ ( transport @ B ) ) ) ) ) ).
thf(vehicle_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( vehicle @ A ) ) @ ( vehicle @ B ) ) ) ) ) ).
thf(way_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
thf(white_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
thf(woman_substitution_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( woman @ A ) ) @ ( woman @ B ) ) ) ) ) ).
thf(ax1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( chevy @ U ) @ ( car @ U ) ) ) ) ).
thf(ax2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( car @ U ) @ ( vehicle @ U ) ) ) ) ).
thf(ax3,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( vehicle @ U ) @ ( transport @ U ) ) ) ) ).
thf(ax4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( transport @ U ) @ ( instrumentality @ U ) ) ) ) ).
thf(ax5,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( instrumentality @ U ) @ ( artifact @ U ) ) ) ) ).
thf(ax6,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( instrumentality @ U ) @ ( mnot @ ( way @ U ) ) ) ) ) ).
thf(ax7,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( street @ U ) @ ( way @ U ) ) ) ) ).
thf(ax8,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( way @ U ) @ ( artifact @ U ) ) ) ) ).
thf(ax9,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( artifact @ U ) @ ( object @ U ) ) ) ) ).
thf(ax10,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( artifact @ U ) @ ( mnot @ ( location @ U ) ) ) ) ) ).
thf(ax11,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( event @ U ) @ ( eventuality @ U ) ) ) ) ).
thf(ax12,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( hollywood @ U ) @ ( city @ U ) ) ) ) ).
thf(ax13,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( city @ U ) @ ( location @ U ) ) ) ) ).
thf(ax14,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( location @ U ) @ ( object @ U ) ) ) ) ).
thf(ax15,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( object @ U ) @ ( entity @ U ) ) ) ) ).
thf(ax16,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( old @ U ) @ ( mnot @ ( new @ U ) ) ) ) ) ).
thf(ax17,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( eventuality @ U ) @ ( mnot @ ( entity @ U ) ) ) ) ) ).
thf(ax18,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( abstraction @ U ) @ ( mnot @ ( entity @ U ) ) ) ) ) ).
thf(ax19,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( abstraction @ U ) @ ( mnot @ ( eventuality @ U ) ) ) ) ) ).
thf(ax20,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( male @ U ) @ ( mnot @ ( female @ U ) ) ) ) ) ).
thf(ax21,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( man @ U ) @ ( mnot @ ( woman @ U ) ) ) ) ) ).
thf(ax22,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( man @ U ) @ ( male @ U ) ) ) ) ).
thf(ax23,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( male @ U ) @ ( human @ U ) ) ) ) ).
thf(ax24,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( female @ U ) @ ( human @ U ) ) ) ) ).
thf(ax25,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( woman @ U ) @ ( female @ U ) ) ) ) ).
thf(ax26,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mequiv @ ( drs @ U ) @ ( proposition @ U ) ) ) ) ).
thf(ax27,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( nonhuman @ U ) @ ( entity @ U ) ) ) ) ).
thf(ax28,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] : ( mimplies @ ( human @ U ) @ ( mnot @ ( nonhuman @ U ) ) ) ) ) ).
thf(ax29,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] :
( mforall_ind
@ ^ [V: mu] :
( mforall_ind
@ ^ [W: mu] : ( mequiv @ ( mand @ ( have @ U @ V @ W ) @ ( human @ V ) ) @ ( mand @ ( owner @ V ) @ ( of @ V @ W ) ) ) ) ) ) ) ).
thf(ax30,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] :
( mforall_ind
@ ^ [V: mu] :
( mforall_ind
@ ^ [W: mu] : ( mimplies @ ( mand @ ( have @ U @ V @ W ) @ ( mand @ ( nonhuman @ V ) @ ( nonhuman @ W ) ) ) @ ( partof @ W @ V ) ) ) ) ) ) ).
thf(ax31,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] :
( mforall_ind
@ ^ [V: mu] :
( mforall_ind
@ ^ [W: mu] : ( mimplies @ ( mand @ ( event @ U ) @ ( have @ U @ V @ W ) ) @ ( of @ V @ W ) ) ) ) ) ) ).
thf(ax32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] :
( mforall_ind
@ ^ [V: mu] :
( mimplies @ ( of @ V @ U )
@ ( mexists_ind
@ ^ [W: mu] : ( mand @ ( event @ W ) @ ( have @ W @ U @ V ) ) ) ) ) ) ) ).
thf(ax33,axiom,
( mvalid
@ ( mforall_ind
@ ^ [U: mu] :
( mforall_ind
@ ^ [V: mu] :
( mforall_ind
@ ^ [W: mu] : ( mimplies @ ( mand @ ( partof @ U @ V ) @ ( partof @ U @ W ) ) @ ( qmltpeq @ V @ W ) ) ) ) ) ) ).
thf(co1,conjecture,
( mvalid
@ ( mnot
@ ( mexists_ind
@ ^ [U: mu] :
( mexists_ind
@ ^ [V: mu] :
( mexists_ind
@ ^ [W: mu] :
( mexists_ind
@ ^ [X: mu] : ( mand @ ( hollywood @ U ) @ ( mand @ ( city @ U ) @ ( mand @ ( event @ V ) @ ( mand @ ( chevy @ W ) @ ( mand @ ( car @ W ) @ ( mand @ ( white @ W ) @ ( mand @ ( dirty @ W ) @ ( mand @ ( old @ W ) @ ( mand @ ( street @ X ) @ ( mand @ ( way @ X ) @ ( mand @ ( lonely @ X ) @ ( mand @ ( barrel @ V @ W ) @ ( mand @ ( down @ V @ X ) @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------