NO

Prover = LP(tech=TOPLAS06, unlimited)

** BEGIN proof argument **
log2(o,i): ([log2(s(s(_0)),_1) :- log2(_0,s(0),s(0),_1), log2(s(s(_0)),_1,_2,_3) :- log2(_0,s(_1),_2,_3)], {log2/2->(1->_0), log2/4->(1->_1, 2->_2, 3->_3)})
** END proof argument **

** BEGIN proof description **
* Iteration = 0: 0 unfolded rule generated, 0 loop generated
* Iteration = 1: 6 new unfolded rule(s) generated, 1 new loop(s) generated
* Iteration = 2: 17 new unfolded rule(s) generated, 7 new loop(s) generated
The mode log2(o,i) is non-terminating because of the generated looping pair:
  ([log2(s(s(_0)),_1) :- log2(_0,s(0),s(0),_1), log2(s(s(_0)),_1,_2,_3) :- log2(_0,s(_1),_2,_3)], {log2/2->(1->_0), log2/4->(1->_1, 2->_2, 3->_3)})
* All specified modes do not terminate: log2(o,i) 

** END proof description **

Proof stopped at iteration 2
Number of unfolded rules generated by this proof = 23
Number of unfolded rules generated by all the parallel proofs = 23