NO Prover = TRS(tech=GUIDED_UNF, nb_unfoldings=unlimited, unfold_variables=true, strategy=LEFTMOST_NE) ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 1] f(tt,nil) -> f(tt,nil) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {}. We have r|p = f(tt,nil) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(tt,nil) loops w.r.t. the analyzed TRS. ** 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! ## Searching for a loop by unfolding (unfolding of variable subterms: ON)... # Iteration 0: no loop detected, 1 unfolded rule generated. # Iteration 1: loop detected, 2 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(tt,_0) -> f^#(isList(_0),_0) is in U_IR^0. Let p0 = [0]. We unfold the rule of L0 forwards at position p0 with the rule isList(nil) -> tt. ==> L1 = f^#(tt,nil) -> f^#(tt,nil) is in U_IR^1. ** END proof description ** Proof stopped at iteration 1 Number of unfolded rules generated by this proof = 3 Number of unfolded rules generated by all the parallel proofs = 3