WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l5 0: l0 -> l1 : __len9^0'=__len9^post_1, __val8^0'=__val8^post_1, tmp10^0'=tmp10^post_1, tmp^0'=tmp^post_1, tmp___0^0'=tmp___0^post_1, tmp___1^0'=tmp___1^post_1, [ __len9^0==__len9^post_1 && __val8^0==__val8^post_1 && tmp^0==tmp^post_1 && tmp10^0==tmp10^post_1 && tmp___0^0==tmp___0^post_1 && tmp___1^0==tmp___1^post_1 ], cost: 1 1: l2 -> l0 : __len9^0'=__len9^post_2, __val8^0'=__val8^post_2, tmp10^0'=tmp10^post_2, tmp^0'=tmp^post_2, tmp___0^0'=tmp___0^post_2, tmp___1^0'=tmp___1^post_2, [ tmp___0^post_2==tmp___0^post_2 && __len9^0==__len9^post_2 && __val8^0==__val8^post_2 && tmp^0==tmp^post_2 && tmp10^0==tmp10^post_2 && tmp___1^0==tmp___1^post_2 ], cost: 1 2: l3 -> l0 : __len9^0'=__len9^post_3, __val8^0'=__val8^post_3, tmp10^0'=tmp10^post_3, tmp^0'=tmp^post_3, tmp___0^0'=tmp___0^post_3, tmp___1^0'=tmp___1^post_3, [ tmp___1^0<=-1 && -1<=tmp___1^0 && __val8^post_3==0 && __len9^post_3==__len9^post_3 && tmp10^post_3==tmp10^post_3 && tmp^0==tmp^post_3 && tmp___0^0==tmp___0^post_3 && tmp___1^0==tmp___1^post_3 ], cost: 1 3: l3 -> l2 : __len9^0'=__len9^post_4, __val8^0'=__val8^post_4, tmp10^0'=tmp10^post_4, tmp^0'=tmp^post_4, tmp___0^0'=tmp___0^post_4, tmp___1^0'=tmp___1^post_4, [ 0<=tmp___1^0 && __len9^0==__len9^post_4 && __val8^0==__val8^post_4 && tmp^0==tmp^post_4 && tmp10^0==tmp10^post_4 && tmp___0^0==tmp___0^post_4 && tmp___1^0==tmp___1^post_4 ], cost: 1 4: l3 -> l2 : __len9^0'=__len9^post_5, __val8^0'=__val8^post_5, tmp10^0'=tmp10^post_5, tmp^0'=tmp^post_5, tmp___0^0'=tmp___0^post_5, tmp___1^0'=tmp___1^post_5, [ 1+tmp___1^0<=-1 && __len9^0==__len9^post_5 && __val8^0==__val8^post_5 && tmp^0==tmp^post_5 && tmp10^0==tmp10^post_5 && tmp___0^0==tmp___0^post_5 && tmp___1^0==tmp___1^post_5 ], cost: 1 5: l4 -> l3 : __len9^0'=__len9^post_6, __val8^0'=__val8^post_6, tmp10^0'=tmp10^post_6, tmp^0'=tmp^post_6, tmp___0^0'=tmp___0^post_6, tmp___1^0'=tmp___1^post_6, [ tmp^post_6==tmp^post_6 && tmp___1^post_6==tmp___1^post_6 && __len9^0==__len9^post_6 && __val8^0==__val8^post_6 && tmp10^0==tmp10^post_6 && tmp___0^0==tmp___0^post_6 ], cost: 1 6: l5 -> l4 : __len9^0'=__len9^post_7, __val8^0'=__val8^post_7, tmp10^0'=tmp10^post_7, tmp^0'=tmp^post_7, tmp___0^0'=tmp___0^post_7, tmp___1^0'=tmp___1^post_7, [ __len9^0==__len9^post_7 && __val8^0==__val8^post_7 && tmp^0==tmp^post_7 && tmp10^0==tmp10^post_7 && tmp___0^0==tmp___0^post_7 && tmp___1^0==tmp___1^post_7 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 6: l5 -> l4 : __len9^0'=__len9^post_7, __val8^0'=__val8^post_7, tmp10^0'=tmp10^post_7, tmp^0'=tmp^post_7, tmp___0^0'=tmp___0^post_7, tmp___1^0'=tmp___1^post_7, [ __len9^0==__len9^post_7 && __val8^0==__val8^post_7 && tmp^0==tmp^post_7 && tmp10^0==tmp10^post_7 && tmp___0^0==tmp___0^post_7 && tmp___1^0==tmp___1^post_7 ], cost: 1 Removed unreachable and leaf rules: Start location: l5 Empty problem, aborting Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [ __len9^0==__len9^post_7 && __val8^0==__val8^post_7 && tmp^0==tmp^post_7 && tmp10^0==tmp10^post_7 && tmp___0^0==tmp___0^post_7 && tmp___1^0==tmp___1^post_7 ] WORST_CASE(Omega(1),?)