## TPTP Problem File: PUZ033-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Domain   : Puzzles
% Problem  : The Winds and the Windows Puzzle
% Version  : Especial.
% English  : (1) There is always sunshine when the wind is in the East.
%            (2) When it is cold and foggy, my neighbor practices the flute.
%            (3) When my fire smokes, I set the door open.
%            (4) When it is cold and I feel rheumatic, I light my fire.
%            (5) When the wind is in the East and comes in gusts, my fire
%                smokes.
%            (6) When I keep the door open, I am free from headache.
%            (7) Even when the sun is shining and it is not cold, I keep my
%                window shut if it is foggy.
%            (8) When the wind does not come in gusts, and when I have a
%                fire and keep the door shut, I do not feel rheumatic.
%            (9) Sunshine always brings on fog.
%            (10) When my neighbor practices the flute, I shut the door,
%                even if I have no headache.
%            (11) When there is a fog and the wind is in the East, I feel
%                rheumatic.
%            Show that when the wind is in the East, I keep my windows shut.

% Refs     : [Car86] Carroll (1986), Lewis Carroll's Symbolic Logic
% Source   : [ANL]
% Names    : winds.ver1.in [ANL]

% Status   : Unsatisfiable
% Rating   : 0.00 v2.0.0
% Syntax   : Number of clauses     :   13 (   2 unt;   2 nHn;  13 RR)
%            Number of literals    :   32 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  12 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)
% SPC      : CNF_UNS_PRP

%--------------------------------------------------------------------------
cnf(c1,axiom,
( ~ wind_in_east
| sunshine ) ).

cnf(c2,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ) ).

cnf(c3,axiom,
( ~ fire_smokes
| door_is_open ) ).

cnf(c4,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ) ).

cnf(c5,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ) ).

cnf(c6,axiom,
( ~ door_is_open
| ~ headache ) ).

cnf(c7,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ) ).

cnf(c8,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ) ).

cnf(c9,axiom,
( ~ sunshine
| foggy ) ).

cnf(c10,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ) ).

cnf(c11,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ) ).

cnf(c12,hypothesis,
wind_in_east ).

cnf(prove_window_is_shut,negated_conjecture,
~ window_is_shut ).

%--------------------------------------------------------------------------
```