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 = [and^#(xor(_0,_1),_2) -> and^#(_0,_2), and^#(xor(_0,_1),_2) -> and^#(_1,_2)] TRS = {not(_0) -> xor(_0,true), or(_0,_1) -> xor(and(_0,_1),xor(_0,_1)), implies(_0,_1) -> xor(and(_0,_1),xor(_0,true)), and(_0,true) -> _0, and(_0,false) -> false, and(_0,_0) -> _0, xor(_0,false) -> _0, xor(_0,_0) -> false, and(xor(_0,_1),_2) -> xor(and(_0,_2),and(_1,_2))} ## 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