NO Initial ITS Start location: l12 0: l0 -> l1 : Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, (0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0 /\ Result_6^0-Result_6^post0 == 0), cost: 1 12: l1 -> l3 : Result_6^0'=Result_6^post12, x_10^0'=x_10^post12, nondet_8^0'=nondet_8^post12, temp6_11^0'=temp6_11^post12, nondet_7^0'=nondet_7^post12, temp5_9^0'=temp5_9^post12, (0 == 0 /\ -temp5_9^post12 <= 0 /\ -nondet_7^post12+nondet_7^0 == 0 /\ -nondet_8^post12+temp5_9^post12 == 0 /\ temp5_9^post12 <= 0 /\ temp6_11^0-temp6_11^post12 == 0 /\ x_10^0-x_10^post12 == 0), cost: 1 13: l1 -> l10 : Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, (0 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_7^post13+nondet_7^0 == 0 /\ Result_6^0-Result_6^post13 == 0), cost: 1 1: l2 -> l3 : Result_6^0'=Result_6^post1, x_10^0'=x_10^post1, nondet_8^0'=nondet_8^post1, temp6_11^0'=temp6_11^post1, nondet_7^0'=nondet_7^post1, temp5_9^0'=temp5_9^post1, (0 == 0 /\ nondet_7^0-nondet_7^post1 == 0 /\ temp5_9^post1 <= 0 /\ -temp5_9^post1 <= 0 /\ -nondet_8^post1+temp5_9^post1 == 0 /\ temp6_11^0-temp6_11^post1 == 0 /\ x_10^0-x_10^post1 == 0), cost: 1 2: l2 -> l5 : Result_6^0'=Result_6^post2, x_10^0'=x_10^post2, nondet_8^0'=nondet_8^post2, temp6_11^0'=temp6_11^post2, nondet_7^0'=nondet_7^post2, temp5_9^0'=temp5_9^post2, (0 == 0 /\ -temp6_11^post2+temp6_11^0 == 0 /\ Result_6^0-Result_6^post2 == 0 /\ x_10^0-x_10^post2 == 0 /\ nondet_7^0-nondet_7^post2 == 0 /\ -nondet_8^post2+temp5_9^post2 == 0), cost: 1 3: l5 -> l6 : Result_6^0'=Result_6^post3, x_10^0'=x_10^post3, nondet_8^0'=nondet_8^post3, temp6_11^0'=temp6_11^post3, nondet_7^0'=nondet_7^post3, temp5_9^0'=temp5_9^post3, (1+temp5_9^0 <= 0 /\ -temp5_9^post3+temp5_9^0 == 0 /\ x_10^0-x_10^post3 == 0 /\ -temp6_11^post3+temp6_11^0 == 0 /\ nondet_8^0-nondet_8^post3 == 0 /\ -nondet_7^post3+nondet_7^0 == 0 /\ Result_6^0-Result_6^post3 == 0), cost: 1 4: l5 -> l6 : Result_6^0'=Result_6^post4, x_10^0'=x_10^post4, nondet_8^0'=nondet_8^post4, temp6_11^0'=temp6_11^post4, nondet_7^0'=nondet_7^post4, temp5_9^0'=temp5_9^post4, (Result_6^0-Result_6^post4 == 0 /\ x_10^0-x_10^post4 == 0 /\ nondet_8^0-nondet_8^post4 == 0 /\ -temp6_11^post4+temp6_11^0 == 0 /\ -temp5_9^post4+temp5_9^0 == 0 /\ -nondet_7^post4+nondet_7^0 == 0 /\ 1-temp5_9^0 <= 0), cost: 1 5: l6 -> l4 : Result_6^0'=Result_6^post5, x_10^0'=x_10^post5, nondet_8^0'=nondet_8^post5, temp6_11^0'=temp6_11^post5, nondet_7^0'=nondet_7^post5, temp5_9^0'=temp5_9^post5, (-temp5_9^post5+temp5_9^0 == 0 /\ Result_6^0-Result_6^post5 == 0 /\ -1-x_10^0+x_10^post5 == 0 /\ -nondet_7^post5+nondet_7^0 == 0 /\ 1-x_10^0 <= 0 /\ temp6_11^0-temp6_11^post5 == 0 /\ nondet_8^0-nondet_8^post5 == 0), cost: 1 6: l4 -> l3 : Result_6^0'=Result_6^post6, x_10^0'=x_10^post6, nondet_8^0'=nondet_8^post6, temp6_11^0'=temp6_11^post6, nondet_7^0'=nondet_7^post6, temp5_9^0'=temp5_9^post6, (0 == 0 /\ x_10^0-x_10^post6 == 0 /\ -temp5_9^post6 <= 0 /\ nondet_7^0-nondet_7^post6 == 0 /\ temp5_9^post6 <= 0 /\ temp6_11^0-temp6_11^post6 == 0 /\ -nondet_8^post6+temp5_9^post6 == 0), cost: 1 7: l4 -> l8 : Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, (0 == 0 /\ temp5_9^post7-nondet_8^post7 == 0 /\ Result_6^0-Result_6^post7 == 0 /\ -temp6_11^post7+temp6_11^0 == 0 /\ x_10^0-x_10^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0), cost: 1 8: l8 -> l9 : Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, (1+temp5_9^0 <= 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ -temp6_11^post8+temp6_11^0 == 0 /\ x_10^0-x_10^post8 == 0 /\ nondet_8^0-nondet_8^post8 == 0 /\ -nondet_7^post8+nondet_7^0 == 0 /\ Result_6^0-Result_6^post8 == 0), cost: 1 9: l8 -> l9 : Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, (x_10^0-x_10^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0 /\ -nondet_7^post9+nondet_7^0 == 0 /\ nondet_8^0-nondet_8^post9 == 0 /\ Result_6^0-Result_6^post9 == 0 /\ 1-temp5_9^0 <= 0 /\ -temp5_9^post9+temp5_9^0 == 0), cost: 1 10: l9 -> l7 : Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, (nondet_8^0-nondet_8^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -temp5_9^post10+temp5_9^0 == 0 /\ 1-x_10^0 <= 0 /\ -1-x_10^0+x_10^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp6_11^0-temp6_11^post10 == 0), cost: 1 11: l7 -> l4 : Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, (x_10^0-x_10^post11 == 0 /\ Result_6^0-Result_6^post11 == 0 /\ nondet_8^0-nondet_8^post11 == 0 /\ -temp5_9^post11+temp5_9^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ -nondet_7^post11+nondet_7^0 == 0), cost: 1 14: l10 -> l11 : Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, (x_10^0-x_10^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ 1+temp5_9^0 <= 0 /\ -nondet_8^post14+nondet_8^0 == 0 /\ nondet_7^0-nondet_7^post14 == 0 /\ Result_6^0-Result_6^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0), cost: 1 15: l10 -> l11 : Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, (nondet_7^0-nondet_7^post15 == 0 /\ Result_6^0-Result_6^post15 == 0 /\ -temp5_9^post15+temp5_9^0 == 0 /\ -temp6_11^post15+temp6_11^0 == 0 /\ -nondet_8^post15+nondet_8^0 == 0 /\ x_10^0-x_10^post15 == 0 /\ 1-temp5_9^0 <= 0), cost: 1 16: l11 -> l4 : Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, (-1-x_10^0+x_10^post16 == 0 /\ nondet_8^0-nondet_8^post16 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ -temp6_11^post16+temp6_11^0 == 0 /\ 1-x_10^0 <= 0 /\ Result_6^0-Result_6^post16 == 0 /\ -nondet_7^post16+nondet_7^0 == 0), cost: 1 17: l12 -> l0 : Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, (-temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ -nondet_7^post17+nondet_7^0 == 0 /\ x_10^0-x_10^post17 == 0 /\ nondet_8^0-nondet_8^post17 == 0 /\ temp6_11^0-temp6_11^post17 == 0), cost: 1 Removed unreachable rules and leafs Start location: l12 0: l0 -> l1 : Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, (0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0 /\ Result_6^0-Result_6^post0 == 0), cost: 1 13: l1 -> l10 : Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, (0 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_7^post13+nondet_7^0 == 0 /\ Result_6^0-Result_6^post13 == 0), cost: 1 7: l4 -> l8 : Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, (0 == 0 /\ temp5_9^post7-nondet_8^post7 == 0 /\ Result_6^0-Result_6^post7 == 0 /\ -temp6_11^post7+temp6_11^0 == 0 /\ x_10^0-x_10^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0), cost: 1 8: l8 -> l9 : Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, (1+temp5_9^0 <= 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ -temp6_11^post8+temp6_11^0 == 0 /\ x_10^0-x_10^post8 == 0 /\ nondet_8^0-nondet_8^post8 == 0 /\ -nondet_7^post8+nondet_7^0 == 0 /\ Result_6^0-Result_6^post8 == 0), cost: 1 9: l8 -> l9 : Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, (x_10^0-x_10^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0 /\ -nondet_7^post9+nondet_7^0 == 0 /\ nondet_8^0-nondet_8^post9 == 0 /\ Result_6^0-Result_6^post9 == 0 /\ 1-temp5_9^0 <= 0 /\ -temp5_9^post9+temp5_9^0 == 0), cost: 1 10: l9 -> l7 : Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, (nondet_8^0-nondet_8^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -temp5_9^post10+temp5_9^0 == 0 /\ 1-x_10^0 <= 0 /\ -1-x_10^0+x_10^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp6_11^0-temp6_11^post10 == 0), cost: 1 11: l7 -> l4 : Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, (x_10^0-x_10^post11 == 0 /\ Result_6^0-Result_6^post11 == 0 /\ nondet_8^0-nondet_8^post11 == 0 /\ -temp5_9^post11+temp5_9^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ -nondet_7^post11+nondet_7^0 == 0), cost: 1 14: l10 -> l11 : Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, (x_10^0-x_10^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ 1+temp5_9^0 <= 0 /\ -nondet_8^post14+nondet_8^0 == 0 /\ nondet_7^0-nondet_7^post14 == 0 /\ Result_6^0-Result_6^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0), cost: 1 15: l10 -> l11 : Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, (nondet_7^0-nondet_7^post15 == 0 /\ Result_6^0-Result_6^post15 == 0 /\ -temp5_9^post15+temp5_9^0 == 0 /\ -temp6_11^post15+temp6_11^0 == 0 /\ -nondet_8^post15+nondet_8^0 == 0 /\ x_10^0-x_10^post15 == 0 /\ 1-temp5_9^0 <= 0), cost: 1 16: l11 -> l4 : Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, (-1-x_10^0+x_10^post16 == 0 /\ nondet_8^0-nondet_8^post16 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ -temp6_11^post16+temp6_11^0 == 0 /\ 1-x_10^0 <= 0 /\ Result_6^0-Result_6^post16 == 0 /\ -nondet_7^post16+nondet_7^0 == 0), cost: 1 17: l12 -> l0 : Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, (-temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ -nondet_7^post17+nondet_7^0 == 0 /\ x_10^0-x_10^post17 == 0 /\ nondet_8^0-nondet_8^post17 == 0 /\ temp6_11^0-temp6_11^post17 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, (0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0 /\ Result_6^0-Result_6^post0 == 0), cost: 1 New rule: l0 -> l1 : x_10^0'=nondet_7^post0, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l8 : Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, (0 == 0 /\ temp5_9^post7-nondet_8^post7 == 0 /\ Result_6^0-Result_6^post7 == 0 /\ -temp6_11^post7+temp6_11^0 == 0 /\ x_10^0-x_10^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0), cost: 1 New rule: l4 -> l8 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 0 == 0, cost: 1 Applied preprocessing Original rule: l8 -> l9 : Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, (1+temp5_9^0 <= 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ -temp6_11^post8+temp6_11^0 == 0 /\ x_10^0-x_10^post8 == 0 /\ nondet_8^0-nondet_8^post8 == 0 /\ -nondet_7^post8+nondet_7^0 == 0 /\ Result_6^0-Result_6^post8 == 0), cost: 1 New rule: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 Applied preprocessing Original rule: l8 -> l9 : Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, (x_10^0-x_10^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0 /\ -nondet_7^post9+nondet_7^0 == 0 /\ nondet_8^0-nondet_8^post9 == 0 /\ Result_6^0-Result_6^post9 == 0 /\ 1-temp5_9^0 <= 0 /\ -temp5_9^post9+temp5_9^0 == 0), cost: 1 New rule: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 Applied preprocessing Original rule: l9 -> l7 : Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, (nondet_8^0-nondet_8^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -temp5_9^post10+temp5_9^0 == 0 /\ 1-x_10^0 <= 0 /\ -1-x_10^0+x_10^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp6_11^0-temp6_11^post10 == 0), cost: 1 New rule: l9 -> l7 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 Applied preprocessing Original rule: l7 -> l4 : Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, (x_10^0-x_10^post11 == 0 /\ Result_6^0-Result_6^post11 == 0 /\ nondet_8^0-nondet_8^post11 == 0 /\ -temp5_9^post11+temp5_9^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ -nondet_7^post11+nondet_7^0 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, (0 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_7^post13+nondet_7^0 == 0 /\ Result_6^0-Result_6^post13 == 0), cost: 1 New rule: l1 -> l10 : nondet_8^0'=temp5_9^post13, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 1 Applied preprocessing Original rule: l10 -> l11 : Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, (x_10^0-x_10^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ 1+temp5_9^0 <= 0 /\ -nondet_8^post14+nondet_8^0 == 0 /\ nondet_7^0-nondet_7^post14 == 0 /\ Result_6^0-Result_6^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0), cost: 1 New rule: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 Applied preprocessing Original rule: l10 -> l11 : Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, (nondet_7^0-nondet_7^post15 == 0 /\ Result_6^0-Result_6^post15 == 0 /\ -temp5_9^post15+temp5_9^0 == 0 /\ -temp6_11^post15+temp6_11^0 == 0 /\ -nondet_8^post15+nondet_8^0 == 0 /\ x_10^0-x_10^post15 == 0 /\ 1-temp5_9^0 <= 0), cost: 1 New rule: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 Applied preprocessing Original rule: l11 -> l4 : Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, (-1-x_10^0+x_10^post16 == 0 /\ nondet_8^0-nondet_8^post16 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ -temp6_11^post16+temp6_11^0 == 0 /\ 1-x_10^0 <= 0 /\ Result_6^0-Result_6^post16 == 0 /\ -nondet_7^post16+nondet_7^0 == 0), cost: 1 New rule: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 Applied preprocessing Original rule: l12 -> l0 : Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, (-temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ -nondet_7^post17+nondet_7^0 == 0 /\ x_10^0-x_10^post17 == 0 /\ nondet_8^0-nondet_8^post17 == 0 /\ temp6_11^0-temp6_11^post17 == 0), cost: 1 New rule: l12 -> l0 : TRUE, cost: 1 Simplified rules Start location: l12 18: l0 -> l1 : x_10^0'=nondet_7^post0, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, 0 == 0, cost: 1 24: l1 -> l10 : nondet_8^0'=temp5_9^post13, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 1 19: l4 -> l8 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 0 == 0, cost: 1 20: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 21: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 22: l9 -> l7 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 23: l7 -> l4 : TRUE, cost: 1 25: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 26: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 28: l12 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l12 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : x_10^0'=nondet_7^post0, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, 0 == 0, cost: 1 New rule: l12 -> l1 : x_10^0'=nondet_7^post0, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 18 28 Eliminating location l1 by chaining: Applied chaining First rule: l12 -> l1 : x_10^0'=nondet_7^post0, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, 0 == 0, cost: 2 Second rule: l1 -> l10 : nondet_8^0'=temp5_9^post13, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 1 New rule: l12 -> l10 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 3 Applied deletion Removed the following rules: 24 29 Eliminating location l7 by chaining: Applied chaining First rule: l9 -> l7 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 Second rule: l7 -> l4 : TRUE, cost: 1 New rule: l9 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 2 Applied deletion Removed the following rules: 22 23 Eliminated locations on linear paths Start location: l12 19: l4 -> l8 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 0 == 0, cost: 1 20: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 21: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 31: l9 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 2 25: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 26: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 30: l12 -> l10 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 3 Eliminating location l10 by chaining: Applied chaining First rule: l12 -> l10 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 3 Second rule: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 New rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, (0 == 0 /\ 1+temp5_9^post13 <= 0), cost: 4 Applied simplification Original rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, (0 == 0 /\ 1+temp5_9^post13 <= 0), cost: 4 New rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 Applied chaining First rule: l12 -> l10 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 0 == 0, cost: 3 Second rule: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 New rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, (0 == 0 /\ -1+temp5_9^post13 >= 0), cost: 4 Applied simplification Original rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, (0 == 0 /\ -1+temp5_9^post13 >= 0), cost: 4 New rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Applied deletion Removed the following rules: 25 26 30 Eliminating location l8 by chaining: Applied chaining First rule: l4 -> l8 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 0 == 0, cost: 1 Second rule: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 New rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (0 == 0 /\ 1+nondet_8^post7 <= 0), cost: 2 Applied simplification Original rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (0 == 0 /\ 1+nondet_8^post7 <= 0), cost: 2 New rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 1+nondet_8^post7 <= 0, cost: 2 Applied chaining First rule: l4 -> l8 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 0 == 0, cost: 1 Second rule: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 New rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (0 == 0 /\ -1+nondet_8^post7 >= 0), cost: 2 Applied simplification Original rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (0 == 0 /\ -1+nondet_8^post7 >= 0), cost: 2 New rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, -1+nondet_8^post7 >= 0, cost: 2 Applied deletion Removed the following rules: 19 20 21 Eliminated locations on tree-shaped paths Start location: l12 34: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 1+nondet_8^post7 <= 0, cost: 2 35: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, -1+nondet_8^post7 >= 0, cost: 2 31: l9 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 2 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Applied merging first rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, 1+nondet_8^post7 <= 0, cost: 2 second rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, -1+nondet_8^post7 >= 0, cost: 2 new rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0), cost: 2 Merged rules Start location: l12 36: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0), cost: 2 31: l9 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 2 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Eliminating location l9 by chaining: Applied chaining First rule: l4 -> l9 : nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0), cost: 2 Second rule: l9 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 2 New rule: l4 -> l4 : x_10^0'=1+x_10^0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4 Applied deletion Removed the following rules: 31 36 Eliminated locations on linear paths Start location: l12 37: l4 -> l4 : x_10^0'=1+x_10^0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Applied nonterm Original rule: l4 -> l4 : x_10^0'=1+x_10^0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4 New rule: l4 -> [13] : (-1+x_10^0 >= 0 /\ -1+nondet_8^post7 >= 0), cost: NONTERM Applied acceleration Original rule: l4 -> l4 : x_10^0'=1+x_10^0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4 New rule: l4 -> l4 : x_10^0'=x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (-1-nondet_8^post7 >= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4*n0 Applied simplification Original rule: l4 -> l4 : x_10^0'=x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (-1-nondet_8^post7 >= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4*n0 New rule: l4 -> l4 : x_10^0'=x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4*n0 Applied deletion Removed the following rules: 37 Accelerated simple loops Start location: l12 38: l4 -> [13] : (-1+x_10^0 >= 0 /\ -1+nondet_8^post7 >= 0), cost: NONTERM 40: l4 -> l4 : x_10^0'=x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4*n0 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Applied chaining First rule: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 Second rule: l4 -> [13] : (-1+x_10^0 >= 0 /\ -1+nondet_8^post7 >= 0), cost: NONTERM New rule: l11 -> [13] : -1+x_10^0 >= 0, cost: NONTERM Applied chaining First rule: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 Second rule: l4 -> l4 : x_10^0'=x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 4*n0 New rule: l11 -> l4 : x_10^0'=1+x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 1+4*n0 Applied deletion Removed the following rules: 38 40 Chained accelerated rules with incoming rules Start location: l12 27: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 41: l11 -> [13] : -1+x_10^0 >= 0, cost: NONTERM 42: l11 -> l4 : x_10^0'=1+x_10^0+n0, nondet_8^0'=nondet_8^post7, temp5_9^0'=nondet_8^post7, (-1+x_10^0 >= 0 /\ (1+nondet_8^post7 <= 0 \/ -1+nondet_8^post7 >= 0)), cost: 1+4*n0 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Removed unreachable locations and irrelevant leafs Start location: l12 41: l11 -> [13] : -1+x_10^0 >= 0, cost: NONTERM 32: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Eliminating location l11 by chaining: Applied chaining First rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 Second rule: l11 -> [13] : -1+x_10^0 >= 0, cost: NONTERM New rule: l12 -> [13] : (1+temp5_9^post13 <= 0 /\ -1+nondet_7^post0 >= 0), cost: NONTERM Applied chaining First rule: l12 -> l11 : x_10^0'=nondet_7^post0, nondet_8^0'=temp5_9^post13, temp6_11^0'=nondet_7^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Second rule: l11 -> [13] : -1+x_10^0 >= 0, cost: NONTERM New rule: l12 -> [13] : (-1+nondet_7^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: NONTERM Applied deletion Removed the following rules: 32 33 41 Eliminated locations on tree-shaped paths Start location: l12 43: l12 -> [13] : (1+temp5_9^post13 <= 0 /\ -1+nondet_7^post0 >= 0), cost: NONTERM 44: l12 -> [13] : (-1+nondet_7^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 43 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (1+temp5_9^post13 <= 0 /\ -1+nondet_7^post0 >= 0)