YES Prover = TRS(tech=GUIDED_UNF_TRIPLES, nb_unfoldings=unlimited, unfold_variables=false, max_nb_coefficients=12, max_nb_unfolded_rules=-1, strategy=LEFTMOST_NE) ** BEGIN proof argument ** All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Applying the DP framework... ## Round 1: ## DP problem: Dependency pairs = [r1^#(cons(_0,_1),_2) -> r1^#(_1,cons(_0,_2))] TRS = {rev(_0) -> r1(_0,empty), r1(empty,_0) -> _0, r1(cons(_0,_1),_2) -> r1(_1,cons(_0,_2))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... The constraints are satisfied by the polynomials: {rev(_0):[_0], empty:[0], r1(_0,_1):[_0 + _1], cons(_0,_1):[1 + _0 + _1], r1^#(_0,_1):[_0]} for all instantiations of the variables with values greater than or equal to mu = 0. This DP problem is finite. ** END proof description ** Proof stopped at iteration 0 Number of unfolded rules generated by this proof = 0 Number of unfolded rules generated by all the parallel proofs = 170