TORPAcyc is applied to the string rewriting system
a a a  -> b b 
b b b  -> c 
c  -> d d 
d  -> a a 
interpretation of a: 2
interpretation of b: 3
interpretation of c: 9
interpretation of d: 4
remove rule 3
continue with:
a a a  -> b b 
b b b  -> c 
d  -> a a 
interpretation of a: 1
interpretation of b: 1
interpretation of c: 3
interpretation of d: 3
remove rule 3
continue with:
a a a  -> b b 
b b b  -> c 
interpretation of a: 1
interpretation of b: 1
interpretation of c: 2
interpretation of d: 0
remove rule 2
continue with:
a a a  -> b b 
interpretation of a: 1
interpretation of b: 0
interpretation of c: 8
interpretation of d: 10
remove rule 1
termination has been proved