WORST_CASE(Omega(0),?) Initial ITS Start location: l3 0: l0 -> l1 : y^0'=y^post0, x^0'=x^post0, (1+y^0-x^0 <= 0 /\ 1-y^0+x^0 <= 0 /\ -x^post0+x^0 == 0 /\ -y^post0+y^0 == 0), cost: 1 1: l1 -> l0 : y^0'=y^post1, x^0'=x^post1, (x^0-x^post1 == 0 /\ y^0-y^post1 == 0), cost: 1 2: l2 -> l0 : y^0'=y^post2, x^0'=x^post2, (x^0-x^post2 == 0 /\ y^0-y^post2 == 0), cost: 1 3: l3 -> l2 : y^0'=y^post3, x^0'=x^post3, (y^0-y^post3 == 0 /\ -x^post3+x^0 == 0), cost: 1 Removed rules with unsatisfiable guard Start location: l3 1: l1 -> l0 : y^0'=y^post1, x^0'=x^post1, (x^0-x^post1 == 0 /\ y^0-y^post1 == 0), cost: 1 2: l2 -> l0 : y^0'=y^post2, x^0'=x^post2, (x^0-x^post2 == 0 /\ y^0-y^post2 == 0), cost: 1 3: l3 -> l2 : y^0'=y^post3, x^0'=x^post3, (y^0-y^post3 == 0 /\ -x^post3+x^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l3 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0