NO
by Hakusan
The rewrite relation of the following TRS is considered.
| inv(0) | → | 0 | 
| inv(s(x)) | → | p(inv(x)) | 
| inv(p(x)) | → | s(inv(x)) | 
| minus(x,0) | → | x | 
| minus(x,p(y)) | → | s(minus(x,y)) | 
| minus(x,s(y)) | → | p(minus(x,y)) | 
| minus(0,x) | → | inv(x) | 
| minus(s(x),s(y)) | → | minus(x,y) | 
| minus(p(x),p(y)) | → | minus(x,y) | 
| inv(x) | → | minus(0,x) | 
| s(p(x)) | → | x | 
| p(s(x)) | → | x | 
| t0 | = | minus(p(x1),p(y2)) | 
| →ε | minus(x1,y2) | |
| = | t1 | 
| t0 | = | minus(p(x1),p(y2)) | 
| →ε | s(minus(p(x1),y2)) | |
| = | t1 | 
Hakusan