TORPAcyc is applied to the string rewriting system
c c c a  -> d d 
d b  -> c c 
c  -> a a a a 
d  -> b b b b 
b d  -> c c 
a c c c  -> d d 
interpretation of c: 5
interpretation of a: 1
interpretation of d: 8
interpretation of b: 2
remove rule 3
continue with:
c c c a  -> d d 
d b  -> c c 
d  -> b b b b 
b d  -> c c 
a c c c  -> d d 
interpretation of c: 1
interpretation of a: 2
interpretation of d: 2
interpretation of b: 0
remove rule 5
continue with:
c c c a  -> d d 
d b  -> c c 
d  -> b b b b 
b d  -> c c 
interpretation of c: 0
interpretation of a: 3
interpretation of d: 1
interpretation of b: 0
remove rule 4
continue with:
c c c a  -> d d 
d b  -> c c 
d  -> b b b b 
interpretation of c: 0
interpretation of a: 3
interpretation of d: 1
interpretation of b: 0
remove rule 3
continue with:
c c c a  -> d d 
d b  -> c c 
interpretation of c: 5
interpretation of a: 0
interpretation of d: 7
interpretation of b: 4
remove rule 2
continue with:
c c c a  -> d d 
interpretation of c: 9
interpretation of a: 0
interpretation of d: 0
interpretation of b: 10
remove rule 1
termination has been proved