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 = [b^#(r(_0)) -> b^#(_0), b^#(w(_0)) -> b^#(_0)] TRS = {w(r(_0)) -> r(w(_0)), b(r(_0)) -> r(b(_0)), b(w(_0)) -> w(b(_0))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [w^#(r(_0)) -> w^#(_0)] TRS = {w(r(_0)) -> r(w(_0)), b(r(_0)) -> r(b(_0)), b(w(_0)) -> w(b(_0))} ## Trying with homeomorphic embeddings... Success! 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 = 0