TPTP Problem File: PUZ031^5.p
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% File : PUZ031^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Puzzles
% Problem : TPS problem from BASIC-FO-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_1229 [Bro09]
% Status : Theorem
% Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.5.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.33 v6.1.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.40 v5.4.0, 0.25 v5.2.0, 0.50 v5.1.0, 0.75 v5.0.0, 0.50 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% Syntax : Number of formulae : 19 ( 0 unt; 18 typ; 0 def)
% Number of atoms : 63 ( 0 equ; 0 cnn)
% Maximal formula atoms : 63 ( 63 avg)
% Number of connectives : 186 ( 41 ~; 37 |; 25 &; 83 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 37 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% SPC : TH0_THM_NEQ_NAR
% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% project in the Department of Mathematical Sciences at Carnegie
% Mellon University. Distributed under the Creative Commons copyleft
% license: http://creativecommons.org/licenses/by-sa/3.0/
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thf(eats,type,
eats: $i > $i > $o ).
thf(grain,type,
grain: $i > $o ).
thf(animal,type,
animal: $i > $o ).
thf(snail,type,
snail: $i > $o ).
thf(sf,type,
sf: $i > $i ).
thf(plant,type,
plant: $i > $o ).
thf(caterpillar,type,
caterpillar: $i > $o ).
thf(cf,type,
cf: $i > $i ).
thf(bird,type,
bird: $i > $o ).
thf(wolf,type,
wolf: $i > $o ).
thf(fox,type,
fox: $i > $o ).
thf(msmaller,type,
msmaller: $i > $i > $o ).
thf(a_grain,type,
a_grain: $i ).
thf(a_snail,type,
a_snail: $i ).
thf(a_caterpillar,type,
a_caterpillar: $i ).
thf(a_bird,type,
a_bird: $i ).
thf(a_fox,type,
a_fox: $i ).
thf(a_wolf,type,
a_wolf: $i ).
thf(cPUZ031_1,conjecture,
~ ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( caterpillar @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( caterpillar @ a_caterpillar )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [C: $i,B: $i] :
( ( msmaller @ C @ B )
| ~ ( caterpillar @ C )
| ~ ( bird @ B ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [B: $i,C: $i] :
( ( eats @ B @ C )
| ~ ( bird @ B )
| ~ ( caterpillar @ C ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [C: $i] :
( ( plant @ ( cf @ C ) )
| ~ ( caterpillar @ C ) )
& ! [C: $i] :
( ( eats @ C @ ( cf @ C ) )
| ~ ( caterpillar @ C ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) ) ) ).
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