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 = [__^#(__(_0,_1),_2) -> __^#(_0,__(_1,_2)), __^#(__(_0,_1),_2) -> __^#(_1,_2)] TRS = {__(__(_0,_1),_2) -> __(_0,__(_1,_2)), __(_0,nil) -> _0, __(nil,_0) -> _0, U11(tt) -> U12(tt), U12(tt) -> tt, isNePal(__(_0,__(_1,_0))) -> U11(tt)} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Too many coefficients (13)! Aborting! ## Trying with lexicographic path orders... The constraints are satisfied by the lexicographic path order using the precedence: __ > [U12, U11, tt], U11 > [U12] and the argument filtering: {__:[0, 1], U12:[0], isNePal:[0], U11:[0], __^#:[0, 1]} 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 = 18