NO

Prover = LP(tech=TOPLAS06, unlimited)

** BEGIN proof argument **
subset(i,o): ([subset([_0|_1],[_2|_3]) :- member(_0,_3), member(_0,[_1|_2]) :- member(_0,_2)], {subset/2->(0->[_0|_1]), member/2->(0->_2)})
** END proof argument **

** BEGIN proof description **
* Iteration = 0: 0 unfolded rule generated, 0 loop generated
* Iteration = 1: 4 new unfolded rule(s) generated, 1 new loop(s) generated
* Iteration = 2: 6 new unfolded rule(s) generated, 5 new loop(s) generated
The mode subset(i,o) is non-terminating because of the generated looping pair:
  ([subset([_0|_1],[_2|_3]) :- member(_0,_3), member(_0,[_1|_2]) :- member(_0,_2)], {subset/2->(0->[_0|_1]), member/2->(0->_2)})
* All specified modes do not terminate: subset(i,o) 

** END proof description **

Proof stopped at iteration 2
Number of unfolded rules generated by this proof = 10
Number of unfolded rules generated by all the parallel proofs = 10