TPTP Problem File: NLP057-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : NLP057-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Natural Language Processing
% Problem : Mia ordered a shake, problem 15
% Version : [Bos00b] axioms.
% English : Eliminating non-informative interpretations in the statement
% "Mia ordered a shake. It cost five dollars."
% Refs : [Bos00a] Bos (2000), DORIS: Discourse Oriented Representation a
% [Bos00b] Bos (2000), Applied Theorem Proving - Natural Language
% Source : [TPTP]
% Names :
% Status : Satisfiable
% Rating : 0.00 v7.4.0, 0.09 v7.3.0, 0.00 v6.4.0, 0.14 v6.3.0, 0.25 v6.2.0, 0.30 v6.1.0, 0.11 v6.0.0, 0.00 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.20 v5.0.0, 0.22 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.00 v3.2.0, 0.20 v3.1.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.57 v2.5.0, 0.83 v2.4.0
% Syntax : Number of clauses : 93 ( 13 unt; 8 nHn; 92 RR)
% Number of literals : 307 ( 81 equ; 170 neg)
% Maximal clause size : 17 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 0 prp; 1-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-7 aty)
% Number of variables : 228 ( 23 sgn)
% SPC : CNF_SAT_RFO_EQU_NUE
% Comments : Created from NLP057+1.p using FLOTTER
%--------------------------------------------------------------------------
cnf(clause1,axiom,
~ member(U,V,V) ).
cnf(clause2,axiom,
( ~ dollar(U,V)
| cash(U,V) ) ).
cnf(clause3,axiom,
( ~ cash(U,V)
| currency(U,V) ) ).
cnf(clause4,axiom,
( ~ currency(U,V)
| possession(U,V) ) ).
cnf(clause5,axiom,
( ~ possession(U,V)
| abstraction(U,V) ) ).
cnf(clause6,axiom,
( ~ abstraction(U,V)
| thing(U,V) ) ).
cnf(clause7,axiom,
( ~ thing(U,V)
| singleton(U,V) ) ).
cnf(clause8,axiom,
( ~ abstraction(U,V)
| nonhuman(U,V) ) ).
cnf(clause9,axiom,
( ~ abstraction(U,V)
| general(U,V) ) ).
cnf(clause10,axiom,
( ~ abstraction(U,V)
| unisex(U,V) ) ).
cnf(clause11,axiom,
( ~ group(U,V)
| set(U,V) ) ).
cnf(clause12,axiom,
( ~ set(U,V)
| multiple(U,V) ) ).
cnf(clause13,axiom,
( ~ five(U,V)
| group(U,V) ) ).
cnf(clause14,axiom,
( ~ cost(U,V)
| event(U,V) ) ).
cnf(clause15,axiom,
( ~ event(U,V)
| eventuality(U,V) ) ).
cnf(clause16,axiom,
( ~ eventuality(U,V)
| thing(U,V) ) ).
cnf(clause17,axiom,
( ~ eventuality(U,V)
| specific(U,V) ) ).
cnf(clause18,axiom,
( ~ eventuality(U,V)
| nonexistent(U,V) ) ).
cnf(clause19,axiom,
( ~ eventuality(U,V)
| unisex(U,V) ) ).
cnf(clause20,axiom,
( ~ order(U,V)
| act(U,V) ) ).
cnf(clause21,axiom,
( ~ act(U,V)
| event(U,V) ) ).
cnf(clause22,axiom,
( ~ order(U,V)
| event(U,V) ) ).
cnf(clause23,axiom,
( ~ shake_beverage(U,V)
| beverage(U,V) ) ).
cnf(clause24,axiom,
( ~ beverage(U,V)
| food(U,V) ) ).
cnf(clause25,axiom,
( ~ food(U,V)
| substance_matter(U,V) ) ).
cnf(clause26,axiom,
( ~ substance_matter(U,V)
| object(U,V) ) ).
cnf(clause27,axiom,
( ~ object(U,V)
| entity(U,V) ) ).
cnf(clause28,axiom,
( ~ entity(U,V)
| thing(U,V) ) ).
cnf(clause29,axiom,
( ~ entity(U,V)
| specific(U,V) ) ).
cnf(clause30,axiom,
( ~ entity(U,V)
| existent(U,V) ) ).
cnf(clause31,axiom,
( ~ object(U,V)
| nonliving(U,V) ) ).
cnf(clause32,axiom,
( ~ object(U,V)
| impartial(U,V) ) ).
cnf(clause33,axiom,
( ~ object(U,V)
| unisex(U,V) ) ).
cnf(clause34,axiom,
( ~ forename(U,V)
| relname(U,V) ) ).
cnf(clause35,axiom,
( ~ relname(U,V)
| relation(U,V) ) ).
cnf(clause36,axiom,
( ~ relation(U,V)
| abstraction(U,V) ) ).
cnf(clause37,axiom,
( ~ mia_forename(U,V)
| forename(U,V) ) ).
cnf(clause38,axiom,
( ~ woman(U,V)
| human_person(U,V) ) ).
cnf(clause39,axiom,
( ~ human_person(U,V)
| organism(U,V) ) ).
cnf(clause40,axiom,
( ~ organism(U,V)
| entity(U,V) ) ).
cnf(clause41,axiom,
( ~ organism(U,V)
| impartial(U,V) ) ).
cnf(clause42,axiom,
( ~ organism(U,V)
| living(U,V) ) ).
cnf(clause43,axiom,
( ~ human_person(U,V)
| human(U,V) ) ).
cnf(clause44,axiom,
( ~ human_person(U,V)
| animate(U,V) ) ).
cnf(clause45,axiom,
( ~ woman(U,V)
| female(U,V) ) ).
cnf(clause46,axiom,
( ~ female(U,V)
| ~ unisex(U,V) ) ).
cnf(clause47,axiom,
( ~ general(U,V)
| ~ specific(U,V) ) ).
cnf(clause48,axiom,
( ~ multiple(U,V)
| ~ singleton(U,V) ) ).
cnf(clause49,axiom,
( ~ past(U,V)
| ~ present(U,V) ) ).
cnf(clause50,axiom,
( ~ living(U,V)
| ~ nonliving(U,V) ) ).
cnf(clause51,axiom,
( ~ human(U,V)
| ~ nonhuman(U,V) ) ).
cnf(clause52,axiom,
( ~ nonexistent(U,V)
| ~ existent(U,V) ) ).
cnf(clause53,axiom,
( ~ nonliving(U,V)
| ~ animate(U,V) ) ).
cnf(clause54,axiom,
( ~ five(U,V)
| member(U,skf20(V,U),V) ) ).
cnf(clause55,axiom,
( ~ five(U,V)
| member(U,skf18(V,U),V) ) ).
cnf(clause56,axiom,
( ~ five(U,V)
| member(U,skf16(V,U),V) ) ).
cnf(clause57,axiom,
( ~ five(U,V)
| member(U,skf14(V,U),V) ) ).
cnf(clause58,axiom,
( ~ five(U,V)
| member(U,skf12(V,U),V) ) ).
cnf(clause59,axiom,
( skf20(U,V) != skf12(U,V)
| ~ five(V,U) ) ).
cnf(clause60,axiom,
( skf20(U,V) != skf14(U,V)
| ~ five(V,U) ) ).
cnf(clause61,axiom,
( skf20(U,V) != skf16(U,V)
| ~ five(V,U) ) ).
cnf(clause62,axiom,
( skf20(U,V) != skf18(U,V)
| ~ five(V,U) ) ).
cnf(clause63,axiom,
( skf18(U,V) != skf12(U,V)
| ~ five(V,U) ) ).
cnf(clause64,axiom,
( skf18(U,V) != skf14(U,V)
| ~ five(V,U) ) ).
cnf(clause65,axiom,
( skf18(U,V) != skf16(U,V)
| ~ five(V,U) ) ).
cnf(clause66,axiom,
( skf16(U,V) != skf12(U,V)
| ~ five(V,U) ) ).
cnf(clause67,axiom,
( skf16(U,V) != skf14(U,V)
| ~ five(V,U) ) ).
cnf(clause68,axiom,
( skf14(U,V) != skf12(U,V)
| ~ five(V,U) ) ).
cnf(clause69,axiom,
( ~ nonreflexive(U,V)
| ~ patient(U,V,W)
| ~ agent(U,V,W) ) ).
cnf(clause70,axiom,
( ~ forename(U,V)
| ~ of(U,W,X)
| ~ forename(U,W)
| ~ of(U,V,X)
| ~ entity(U,X)
| W = V ) ).
cnf(clause71,axiom,
( ~ member(U,V,W)
| ~ five(U,W)
| V = skf12(W,U)
| V = skf14(W,U)
| V = skf16(W,U)
| V = skf18(W,U)
| V = skf20(W,U) ) ).
cnf(clause72,axiom,
( skf21(U,V,W,X,Y,Z,X1) != W
| ~ member(X2,U,X3)
| ~ member(X2,V,X3)
| ~ member(X2,W,X3)
| ~ member(X2,X4,X3)
| ~ member(X2,X5,X3)
| five(X2,X3)
| U = X5
| U = X4
| U = W
| U = V
| V = X5
| V = X4
| V = W
| W = X5
| W = X4
| X4 = X5 ) ).
cnf(clause73,axiom,
( skf21(U,V,W,X,Y,Z,X1) != X
| ~ member(X2,U,X3)
| ~ member(X2,V,X3)
| ~ member(X2,W,X3)
| ~ member(X2,X,X3)
| ~ member(X2,X4,X3)
| five(X2,X3)
| U = X4
| U = X
| U = W
| U = V
| V = X4
| V = X
| V = W
| W = X4
| W = X
| X = X4 ) ).
cnf(clause74,axiom,
( skf21(U,V,W,X,Y,Z,X1) != Y
| ~ member(X2,U,X3)
| ~ member(X2,V,X3)
| ~ member(X2,W,X3)
| ~ member(X2,X,X3)
| ~ member(X2,Y,X3)
| five(X2,X3)
| U = Y
| U = X
| U = W
| U = V
| V = Y
| V = X
| V = W
| W = Y
| W = X
| X = Y ) ).
cnf(clause75,axiom,
( ~ member(U,V,W)
| ~ member(U,X,W)
| ~ member(U,Y,W)
| ~ member(U,Z,W)
| ~ member(U,X1,W)
| five(U,W)
| member(U,skf21(V,X,Y,Z,X1,W,U),W)
| V = X1
| V = Z
| V = Y
| V = X
| X = X1
| X = Z
| X = Y
| Y = X1
| Y = Z
| Z = X1 ) ).
cnf(clause76,axiom,
( skf21(U,V,W,X,Y,Z,X1) != U
| ~ member(X2,U,X3)
| ~ member(X2,X4,X3)
| ~ member(X2,X5,X3)
| ~ member(X2,X6,X3)
| ~ member(X2,X7,X3)
| five(X2,X3)
| U = X7
| U = X6
| U = X5
| U = X4
| X4 = X7
| X4 = X6
| X4 = X5
| X5 = X7
| X5 = X6
| X6 = X7 ) ).
cnf(clause77,axiom,
( skf21(U,V,W,X,Y,Z,X1) != V
| ~ member(X2,U,X3)
| ~ member(X2,V,X3)
| ~ member(X2,X4,X3)
| ~ member(X2,X5,X3)
| ~ member(X2,X6,X3)
| five(X2,X3)
| U = X6
| U = X5
| U = X4
| U = V
| V = X6
| V = X5
| V = X4
| X4 = X6
| X4 = X5
| X5 = X6 ) ).
cnf(clause78,negated_conjecture,
actual_world(skc5) ).
cnf(clause79,negated_conjecture,
woman(skc5,skc9) ).
cnf(clause80,negated_conjecture,
shake_beverage(skc5,skc7) ).
cnf(clause81,negated_conjecture,
order(skc5,skc6) ).
cnf(clause82,negated_conjecture,
nonreflexive(skc5,skc6) ).
cnf(clause83,negated_conjecture,
past(skc5,skc6) ).
cnf(clause84,negated_conjecture,
event(skc5,skc6) ).
cnf(clause85,negated_conjecture,
forename(skc5,skc8) ).
cnf(clause86,negated_conjecture,
mia_forename(skc5,skc8) ).
cnf(clause87,negated_conjecture,
of(skc5,skc8,skc9) ).
cnf(clause88,negated_conjecture,
agent(skc5,skc6,skc9) ).
cnf(clause89,negated_conjecture,
patient(skc5,skc6,skc7) ).
cnf(clause90,negated_conjecture,
( ssSkP0(U,V,W)
| member(W,skf10(U,V,W),V) ) ).
cnf(clause91,negated_conjecture,
( ~ cost(U,V)
| ~ nonreflexive(U,V)
| ~ present(U,V)
| ~ patient(U,V,skf10(W,X,U))
| ~ agent(U,V,W)
| ~ event(U,V) ) ).
cnf(clause92,negated_conjecture,
( ~ dollar(U,skf8(U,V))
| ~ group(U,W)
| ~ five(U,W)
| ~ nonhuman(U,X)
| ~ mia_forename(U,X)
| ~ forename(U,X)
| ~ ssSkP0(X,W,U)
| ~ agent(U,Y,Z)
| ~ woman(U,Z)
| ~ of(U,X,Z)
| ~ event(U,Y)
| ~ past(U,Y)
| ~ nonreflexive(U,Y)
| ~ order(U,Y)
| ~ patient(U,Y,X1)
| ~ shake_beverage(U,X1)
| ~ actual_world(U) ) ).
cnf(clause93,negated_conjecture,
( ~ group(U,V)
| ~ five(U,V)
| ~ nonhuman(U,W)
| ~ mia_forename(U,W)
| ~ forename(U,W)
| ~ ssSkP0(W,V,U)
| ~ agent(U,X,Y)
| ~ woman(U,Y)
| ~ of(U,W,Y)
| ~ event(U,X)
| ~ past(U,X)
| ~ nonreflexive(U,X)
| ~ order(U,X)
| ~ patient(U,X,Z)
| ~ shake_beverage(U,Z)
| ~ actual_world(U)
| member(U,skf8(U,V),V) ) ).
%--------------------------------------------------------------------------