NO Initial ITS Start location: [1] Program variables: i 0: [1] -> [2] : i'=nondet, T, cost: 1 1: [2] -> [3] : T, cost: 1 4: [2] -> [5] : _|_, cost: 1 2: [3] -> [4] : i'=-1+i, T, cost: 1 3: [4] -> [2] : T, cost: 1 Chained Linear Paths Start location: [1] Program variables: i 0: [1] -> [2] : i'=nondet, T, cost: 1 4: [2] -> [5] : _|_, cost: 1 6: [2] -> [2] : i'=-1+i, T, cost: 1 Eliminating location [3] by chaining: Applied chaining First rule: [2] -> [3] : T, cost: 1 Second rule: [3] -> [4] : i'=-1+i, T, cost: 1 New rule: [2] -> [4] : i'=-1+i, T, cost: 1 Applied deletion Removed the following rules: 1 2 Eliminating location [4] by chaining: Applied chaining First rule: [2] -> [4] : i'=-1+i, T, cost: 1 Second rule: [4] -> [2] : T, cost: 1 New rule: [2] -> [2] : i'=-1+i, T, cost: 1 Applied deletion Removed the following rules: 3 5 Step with 0 Trace 0[T] Blocked [{}, {}] Step with 6 Trace 0[T], 6[T] Blocked [{}, {4[T]}, {}] Nonterm Start location: [1] Program variables: i 0: [1] -> [2] : i'=nondet, T, cost: 1 4: [2] -> [5] : _|_, cost: 1 6: [2] -> [2] : i'=-1+i, T, cost: 1 7: [2] -> LoAT_sink : -1+n >= 0, cost: NONTERM 8: [2] -> [2] : i'=-n+i, -1+n >= 0, cost: 1 Certificate of Non-Termination Original rule: [2] -> [2] : i'=-1+i, T, cost: 1 New rule: [2] -> LoAT_sink : -1+n >= 0, cost: NONTERM Replacement map: {} Loop Acceleration Original rule: [2] -> [2] : i'=-1+i, T, cost: 1 New rule: [2] -> [2] : i'=-n+i, -1+n >= 0, cost: 1 Replacement map: {} Step with 7 Trace 0[T], 7[-1+n >= 0] Blocked [{}, {4[T]}, {7[T]}] Refute Counterexample [ i=0 ] 0 [ i=i ] 7 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b