YES Prover = TRS(tech=PATTERN_RULES, nb_unfoldings=unlimited, max_nb_unfolded_rules=200) ** 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 = [D^#(+(_0,_1)) -> D^#(_0), D^#(+(_0,_1)) -> D^#(_1), D^#(*(_0,_1)) -> D^#(_0), D^#(*(_0,_1)) -> D^#(_1), D^#(-(_0,_1)) -> D^#(_0), D^#(-(_0,_1)) -> D^#(_1)] TRS = {D(t) -> 1, D(constant) -> 0, D(+(_0,_1)) -> +(D(_0),D(_1)), D(*(_0,_1)) -> +(*(_1,D(_0)),*(_0,D(_1))), D(-(_0,_1)) -> -(D(_0),D(_1))} ## 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