TPTP Problem File: PUZ022-1.p

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% File     : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% Domain   : Puzzles
% Problem  : An ocean that borders on two adjacent Australian states
% Version  : Especial.
% English  : There is a database of assertions about Australian states and
%            oceans and their relationships. Find which ocean borders
%            on two adjacent Australian states.

% Refs     : [Pla82] Plaisted (1982), A Simplified Problem Reduction Format
% Source   : [TPTP]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.00 v2.0.0
% Syntax   : Number of clauses     :   33 (  31 unt;   0 nHn;  33 RR)
%            Number of literals    :   39 (   0 equ;   7 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)
% SPC      : CNF_UNS_EPR_NEQ_HRN

% Comments : Inspired by Problem 5.6 in [Pla82]
%--------------------------------------------------------------------------
cnf(symmetry_of_borders,axiom,
    ( ~ borders(Y,X)
    | borders(X,Y) ) ).

cnf(atlantic,negated_conjecture,
    ocean(atlantic) ).

cnf(indian,negated_conjecture,
    ocean(indian) ).

cnf(pacific,negated_conjecture,
    ocean(pacific) ).

cnf(southern,negated_conjecture,
    ocean(southern) ).

cnf(western_australia,negated_conjecture,
    state(western_australia) ).

cnf(northern_territory,negated_conjecture,
    state(northern_territory) ).

cnf(queensland,negated_conjecture,
    state(queensland) ).

cnf(south_australia,negated_conjecture,
    state(south_australia) ).

cnf(new_south_wales,negated_conjecture,
    state(new_south_wales) ).

cnf(victoria,negated_conjecture,
    state(victoria) ).

cnf(tasmania,negated_conjecture,
    state(tasmania) ).

cnf(wa_nt,negated_conjecture,
    borders(western_australia,northern_territory) ).

cnf(wa_sa,negated_conjecture,
    borders(western_australia,south_australia) ).

cnf(sa_nt,negated_conjecture,
    borders(south_australia,northern_territory) ).

cnf(sa_qld,negated_conjecture,
    borders(south_australia,queensland) ).

cnf(sa_nsw,negated_conjecture,
    borders(south_australia,new_south_wales) ).

cnf(sa_vic,negated_conjecture,
    borders(south_australia,victoria) ).

cnf(nt_qld,negated_conjecture,
    borders(northern_territory,queensland) ).

cnf(qld_nsw,negated_conjecture,
    borders(queensland,new_south_wales) ).

cnf(nsw_vic,negated_conjecture,
    borders(new_south_wales,victoria) ).

cnf(indian_wa,negated_conjecture,
    borders(indian,western_australia) ).

cnf(indian_nt,negated_conjecture,
    borders(indian,northern_territory) ).

cnf(indian_qld,negated_conjecture,
    borders(indian,queensland) ).

cnf(southern_wa,negated_conjecture,
    borders(southern,western_australia) ).

cnf(southern_sa,negated_conjecture,
    borders(southern,south_australia) ).

cnf(southern_vic,negated_conjecture,
    borders(southern,victoria) ).

cnf(southern_tas,negated_conjecture,
    borders(southern,tasmania) ).

cnf(pacific_qld,negated_conjecture,
    borders(pacific,queensland) ).

cnf(pacific_nsw,negated_conjecture,
    borders(pacific,new_south_wales) ).

cnf(pacific_vic,negated_conjecture,
    borders(pacific,victoria) ).

cnf(pacific_tas,negated_conjecture,
    borders(pacific,tasmania) ).

cnf(prove_borders,negated_conjecture,
    ( ~ state(State1)
    | ~ state(State2)
    | ~ borders(State1,State2)
    | ~ borders(State1,Ocean)
    | ~ borders(State2,Ocean)
    | ~ ocean(Ocean) ) ).

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