NO Initial ITS Start location: l12 0: l0 -> l1 : temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, (0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -Result_6^post0+Result_6^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0), cost: 1 12: l1 -> l3 : temp6_11^0'=temp6_11^post12, nondet_7^0'=nondet_7^post12, temp5_9^0'=temp5_9^post12, Result_6^0'=Result_6^post12, x_10^0'=x_10^post12, nondet_8^0'=nondet_8^post12, (0 == 0 /\ -nondet_8^post12+temp5_9^post12 == 0 /\ temp5_9^post12 <= 0 /\ temp6_11^0-temp6_11^post12 == 0 /\ -temp5_9^post12 <= 0 /\ x_10^0-x_10^post12 == 0 /\ nondet_7^0-nondet_7^post12 == 0), cost: 1 13: l1 -> l10 : temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, (0 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ nondet_7^0-nondet_7^post13 == 0 /\ -Result_6^post13+Result_6^0 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0), cost: 1 1: l2 -> l3 : temp6_11^0'=temp6_11^post1, nondet_7^0'=nondet_7^post1, temp5_9^0'=temp5_9^post1, Result_6^0'=Result_6^post1, x_10^0'=x_10^post1, nondet_8^0'=nondet_8^post1, (0 == 0 /\ -x_10^post1+x_10^0 == 0 /\ -nondet_8^post1+temp5_9^post1 == 0 /\ -temp5_9^post1 <= 0 /\ temp6_11^0-temp6_11^post1 == 0 /\ nondet_7^0-nondet_7^post1 == 0 /\ temp5_9^post1 <= 0), cost: 1 2: l2 -> l5 : temp6_11^0'=temp6_11^post2, nondet_7^0'=nondet_7^post2, temp5_9^0'=temp5_9^post2, Result_6^0'=Result_6^post2, x_10^0'=x_10^post2, nondet_8^0'=nondet_8^post2, (0 == 0 /\ Result_6^0-Result_6^post2 == 0 /\ nondet_7^0-nondet_7^post2 == 0 /\ temp6_11^0-temp6_11^post2 == 0 /\ -x_10^post2+x_10^0 == 0 /\ -nondet_8^post2+temp5_9^post2 == 0), cost: 1 3: l5 -> l6 : temp6_11^0'=temp6_11^post3, nondet_7^0'=nondet_7^post3, temp5_9^0'=temp5_9^post3, Result_6^0'=Result_6^post3, x_10^0'=x_10^post3, nondet_8^0'=nondet_8^post3, (Result_6^0-Result_6^post3 == 0 /\ -nondet_8^post3+nondet_8^0 == 0 /\ temp5_9^0-temp5_9^post3 == 0 /\ nondet_7^0-nondet_7^post3 == 0 /\ temp6_11^0-temp6_11^post3 == 0 /\ -x_10^post3+x_10^0 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 4: l5 -> l6 : temp6_11^0'=temp6_11^post4, nondet_7^0'=nondet_7^post4, temp5_9^0'=temp5_9^post4, Result_6^0'=Result_6^post4, x_10^0'=x_10^post4, nondet_8^0'=nondet_8^post4, (temp5_9^0-temp5_9^post4 == 0 /\ Result_6^0-Result_6^post4 == 0 /\ 1-temp5_9^0 <= 0 /\ -nondet_7^post4+nondet_7^0 == 0 /\ temp6_11^0-temp6_11^post4 == 0 /\ -nondet_8^post4+nondet_8^0 == 0 /\ -x_10^post4+x_10^0 == 0), cost: 1 5: l6 -> l4 : temp6_11^0'=temp6_11^post5, nondet_7^0'=nondet_7^post5, temp5_9^0'=temp5_9^post5, Result_6^0'=Result_6^post5, x_10^0'=x_10^post5, nondet_8^0'=nondet_8^post5, (-nondet_8^post5+nondet_8^0 == 0 /\ -temp5_9^post5+temp5_9^0 == 0 /\ -1-x_10^0+x_10^post5 == 0 /\ temp6_11^0-temp6_11^post5 == 0 /\ 1-x_10^0 <= 0 /\ Result_6^0-Result_6^post5 == 0 /\ nondet_7^0-nondet_7^post5 == 0), cost: 1 6: l4 -> l3 : temp6_11^0'=temp6_11^post6, nondet_7^0'=nondet_7^post6, temp5_9^0'=temp5_9^post6, Result_6^0'=Result_6^post6, x_10^0'=x_10^post6, nondet_8^0'=nondet_8^post6, (0 == 0 /\ temp6_11^0-temp6_11^post6 == 0 /\ temp5_9^post6 <= 0 /\ x_10^0-x_10^post6 == 0 /\ nondet_7^0-nondet_7^post6 == 0 /\ -nondet_8^post6+temp5_9^post6 == 0 /\ -temp5_9^post6 <= 0), cost: 1 7: l4 -> l8 : temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, (0 == 0 /\ -nondet_8^post7+temp5_9^post7 == 0 /\ -x_10^post7+x_10^0 == 0 /\ temp6_11^0-temp6_11^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0 /\ -Result_6^post7+Result_6^0 == 0), cost: 1 8: l8 -> l9 : temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, (-x_10^post8+x_10^0 == 0 /\ -nondet_8^post8+nondet_8^0 == 0 /\ -Result_6^post8+Result_6^0 == 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ nondet_7^0-nondet_7^post8 == 0 /\ temp6_11^0-temp6_11^post8 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 9: l8 -> l9 : temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, (-x_10^post9+x_10^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -Result_6^post9+Result_6^0 == 0 /\ nondet_7^0-nondet_7^post9 == 0 /\ -nondet_8^post9+nondet_8^0 == 0 /\ temp5_9^0-temp5_9^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0), cost: 1 10: l9 -> l7 : temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, (temp6_11^0-temp6_11^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp5_9^0-temp5_9^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -nondet_8^post10+nondet_8^0 == 0 /\ 1-x_10^0 <= 0 /\ -1+x_10^post10-x_10^0 == 0), cost: 1 11: l7 -> l4 : temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, (Result_6^0-Result_6^post11 == 0 /\ -nondet_8^post11+nondet_8^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ temp5_9^0-temp5_9^post11 == 0 /\ nondet_7^0-nondet_7^post11 == 0 /\ x_10^0-x_10^post11 == 0), cost: 1 14: l10 -> l11 : temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, (nondet_7^0-nondet_7^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0 /\ x_10^0-x_10^post14 == 0 /\ nondet_8^0-nondet_8^post14 == 0 /\ -Result_6^post14+Result_6^0 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 15: l10 -> l11 : temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, (nondet_8^0-nondet_8^post15 == 0 /\ -Result_6^post15+Result_6^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -x_10^post15+x_10^0 == 0 /\ nondet_7^0-nondet_7^post15 == 0 /\ temp6_11^0-temp6_11^post15 == 0 /\ temp5_9^0-temp5_9^post15 == 0), cost: 1 16: l11 -> l4 : temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, (temp6_11^0-temp6_11^post16 == 0 /\ -1+x_10^post16-x_10^0 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ 1-x_10^0 <= 0 /\ -nondet_7^post16+nondet_7^0 == 0 /\ -Result_6^post16+Result_6^0 == 0 /\ -nondet_8^post16+nondet_8^0 == 0), cost: 1 17: l12 -> l0 : temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, (-nondet_8^post17+nondet_8^0 == 0 /\ -x_10^post17+x_10^0 == 0 /\ temp6_11^0-temp6_11^post17 == 0 /\ -temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ nondet_7^0-nondet_7^post17 == 0), cost: 1 Removed unreachable rules and leafs Start location: l12 0: l0 -> l1 : temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, (0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -Result_6^post0+Result_6^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0), cost: 1 13: l1 -> l10 : temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, (0 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ nondet_7^0-nondet_7^post13 == 0 /\ -Result_6^post13+Result_6^0 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0), cost: 1 7: l4 -> l8 : temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, (0 == 0 /\ -nondet_8^post7+temp5_9^post7 == 0 /\ -x_10^post7+x_10^0 == 0 /\ temp6_11^0-temp6_11^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0 /\ -Result_6^post7+Result_6^0 == 0), cost: 1 8: l8 -> l9 : temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, (-x_10^post8+x_10^0 == 0 /\ -nondet_8^post8+nondet_8^0 == 0 /\ -Result_6^post8+Result_6^0 == 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ nondet_7^0-nondet_7^post8 == 0 /\ temp6_11^0-temp6_11^post8 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 9: l8 -> l9 : temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, (-x_10^post9+x_10^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -Result_6^post9+Result_6^0 == 0 /\ nondet_7^0-nondet_7^post9 == 0 /\ -nondet_8^post9+nondet_8^0 == 0 /\ temp5_9^0-temp5_9^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0), cost: 1 10: l9 -> l7 : temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, (temp6_11^0-temp6_11^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp5_9^0-temp5_9^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -nondet_8^post10+nondet_8^0 == 0 /\ 1-x_10^0 <= 0 /\ -1+x_10^post10-x_10^0 == 0), cost: 1 11: l7 -> l4 : temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, (Result_6^0-Result_6^post11 == 0 /\ -nondet_8^post11+nondet_8^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ temp5_9^0-temp5_9^post11 == 0 /\ nondet_7^0-nondet_7^post11 == 0 /\ x_10^0-x_10^post11 == 0), cost: 1 14: l10 -> l11 : temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, (nondet_7^0-nondet_7^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0 /\ x_10^0-x_10^post14 == 0 /\ nondet_8^0-nondet_8^post14 == 0 /\ -Result_6^post14+Result_6^0 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 15: l10 -> l11 : temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, (nondet_8^0-nondet_8^post15 == 0 /\ -Result_6^post15+Result_6^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -x_10^post15+x_10^0 == 0 /\ nondet_7^0-nondet_7^post15 == 0 /\ temp6_11^0-temp6_11^post15 == 0 /\ temp5_9^0-temp5_9^post15 == 0), cost: 1 16: l11 -> l4 : temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, (temp6_11^0-temp6_11^post16 == 0 /\ -1+x_10^post16-x_10^0 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ 1-x_10^0 <= 0 /\ -nondet_7^post16+nondet_7^0 == 0 /\ -Result_6^post16+Result_6^0 == 0 /\ -nondet_8^post16+nondet_8^0 == 0), cost: 1 17: l12 -> l0 : temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, (-nondet_8^post17+nondet_8^0 == 0 /\ -x_10^post17+x_10^0 == 0 /\ temp6_11^0-temp6_11^post17 == 0 /\ -temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ nondet_7^0-nondet_7^post17 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : temp6_11^0'=temp6_11^post0, nondet_7^0'=nondet_7^post0, temp5_9^0'=temp5_9^post0, Result_6^0'=Result_6^post0, x_10^0'=x_10^post0, nondet_8^0'=nondet_8^post0, (0 == 0 /\ -temp5_9^post0+temp5_9^0 == 0 /\ -Result_6^post0+Result_6^0 == 0 /\ temp6_11^post0-nondet_7^post0 == 0 /\ -nondet_8^post0+nondet_8^0 == 0 /\ -temp6_11^post0+x_10^post0 == 0), cost: 1 New rule: l0 -> l1 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, x_10^0'=x_10^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l8 : temp6_11^0'=temp6_11^post7, nondet_7^0'=nondet_7^post7, temp5_9^0'=temp5_9^post7, Result_6^0'=Result_6^post7, x_10^0'=x_10^post7, nondet_8^0'=nondet_8^post7, (0 == 0 /\ -nondet_8^post7+temp5_9^post7 == 0 /\ -x_10^post7+x_10^0 == 0 /\ temp6_11^0-temp6_11^post7 == 0 /\ nondet_7^0-nondet_7^post7 == 0 /\ -Result_6^post7+Result_6^0 == 0), cost: 1 New rule: l4 -> l8 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 0 == 0, cost: 1 Applied preprocessing Original rule: l8 -> l9 : temp6_11^0'=temp6_11^post8, nondet_7^0'=nondet_7^post8, temp5_9^0'=temp5_9^post8, Result_6^0'=Result_6^post8, x_10^0'=x_10^post8, nondet_8^0'=nondet_8^post8, (-x_10^post8+x_10^0 == 0 /\ -nondet_8^post8+nondet_8^0 == 0 /\ -Result_6^post8+Result_6^0 == 0 /\ temp5_9^0-temp5_9^post8 == 0 /\ nondet_7^0-nondet_7^post8 == 0 /\ temp6_11^0-temp6_11^post8 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 New rule: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 Applied preprocessing Original rule: l8 -> l9 : temp6_11^0'=temp6_11^post9, nondet_7^0'=nondet_7^post9, temp5_9^0'=temp5_9^post9, Result_6^0'=Result_6^post9, x_10^0'=x_10^post9, nondet_8^0'=nondet_8^post9, (-x_10^post9+x_10^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -Result_6^post9+Result_6^0 == 0 /\ nondet_7^0-nondet_7^post9 == 0 /\ -nondet_8^post9+nondet_8^0 == 0 /\ temp5_9^0-temp5_9^post9 == 0 /\ -temp6_11^post9+temp6_11^0 == 0), cost: 1 New rule: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 Applied preprocessing Original rule: l9 -> l7 : temp6_11^0'=temp6_11^post10, nondet_7^0'=nondet_7^post10, temp5_9^0'=temp5_9^post10, Result_6^0'=Result_6^post10, x_10^0'=x_10^post10, nondet_8^0'=nondet_8^post10, (temp6_11^0-temp6_11^post10 == 0 /\ -nondet_7^post10+nondet_7^0 == 0 /\ temp5_9^0-temp5_9^post10 == 0 /\ Result_6^0-Result_6^post10 == 0 /\ -nondet_8^post10+nondet_8^0 == 0 /\ 1-x_10^0 <= 0 /\ -1+x_10^post10-x_10^0 == 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 : temp6_11^0'=temp6_11^post11, nondet_7^0'=nondet_7^post11, temp5_9^0'=temp5_9^post11, Result_6^0'=Result_6^post11, x_10^0'=x_10^post11, nondet_8^0'=nondet_8^post11, (Result_6^0-Result_6^post11 == 0 /\ -nondet_8^post11+nondet_8^0 == 0 /\ temp6_11^0-temp6_11^post11 == 0 /\ temp5_9^0-temp5_9^post11 == 0 /\ nondet_7^0-nondet_7^post11 == 0 /\ x_10^0-x_10^post11 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : temp6_11^0'=temp6_11^post13, nondet_7^0'=nondet_7^post13, temp5_9^0'=temp5_9^post13, Result_6^0'=Result_6^post13, x_10^0'=x_10^post13, nondet_8^0'=nondet_8^post13, (0 == 0 /\ temp6_11^0-temp6_11^post13 == 0 /\ nondet_7^0-nondet_7^post13 == 0 /\ -Result_6^post13+Result_6^0 == 0 /\ x_10^0-x_10^post13 == 0 /\ -nondet_8^post13+temp5_9^post13 == 0), cost: 1 New rule: l1 -> l10 : temp5_9^0'=temp5_9^post13, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 1 Applied preprocessing Original rule: l10 -> l11 : temp6_11^0'=temp6_11^post14, nondet_7^0'=nondet_7^post14, temp5_9^0'=temp5_9^post14, Result_6^0'=Result_6^post14, x_10^0'=x_10^post14, nondet_8^0'=nondet_8^post14, (nondet_7^0-nondet_7^post14 == 0 /\ temp6_11^0-temp6_11^post14 == 0 /\ -temp5_9^post14+temp5_9^0 == 0 /\ x_10^0-x_10^post14 == 0 /\ nondet_8^0-nondet_8^post14 == 0 /\ -Result_6^post14+Result_6^0 == 0 /\ 1+temp5_9^0 <= 0), cost: 1 New rule: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 Applied preprocessing Original rule: l10 -> l11 : temp6_11^0'=temp6_11^post15, nondet_7^0'=nondet_7^post15, temp5_9^0'=temp5_9^post15, Result_6^0'=Result_6^post15, x_10^0'=x_10^post15, nondet_8^0'=nondet_8^post15, (nondet_8^0-nondet_8^post15 == 0 /\ -Result_6^post15+Result_6^0 == 0 /\ 1-temp5_9^0 <= 0 /\ -x_10^post15+x_10^0 == 0 /\ nondet_7^0-nondet_7^post15 == 0 /\ temp6_11^0-temp6_11^post15 == 0 /\ temp5_9^0-temp5_9^post15 == 0), cost: 1 New rule: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 Applied preprocessing Original rule: l11 -> l4 : temp6_11^0'=temp6_11^post16, nondet_7^0'=nondet_7^post16, temp5_9^0'=temp5_9^post16, Result_6^0'=Result_6^post16, x_10^0'=x_10^post16, nondet_8^0'=nondet_8^post16, (temp6_11^0-temp6_11^post16 == 0 /\ -1+x_10^post16-x_10^0 == 0 /\ temp5_9^0-temp5_9^post16 == 0 /\ 1-x_10^0 <= 0 /\ -nondet_7^post16+nondet_7^0 == 0 /\ -Result_6^post16+Result_6^0 == 0 /\ -nondet_8^post16+nondet_8^0 == 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 : temp6_11^0'=temp6_11^post17, nondet_7^0'=nondet_7^post17, temp5_9^0'=temp5_9^post17, Result_6^0'=Result_6^post17, x_10^0'=x_10^post17, nondet_8^0'=nondet_8^post17, (-nondet_8^post17+nondet_8^0 == 0 /\ -x_10^post17+x_10^0 == 0 /\ temp6_11^0-temp6_11^post17 == 0 /\ -temp5_9^post17+temp5_9^0 == 0 /\ Result_6^0-Result_6^post17 == 0 /\ nondet_7^0-nondet_7^post17 == 0), cost: 1 New rule: l12 -> l0 : TRUE, cost: 1 Simplified rules Start location: l12 18: l0 -> l1 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, x_10^0'=x_10^post0, 0 == 0, cost: 1 24: l1 -> l10 : temp5_9^0'=temp5_9^post13, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 1 19: l4 -> l8 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^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 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, x_10^0'=x_10^post0, 0 == 0, cost: 1 New rule: l12 -> l1 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, x_10^0'=x_10^post0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 18 28 Eliminating location l1 by chaining: Applied chaining First rule: l12 -> l1 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, x_10^0'=x_10^post0, 0 == 0, cost: 2 Second rule: l1 -> l10 : temp5_9^0'=temp5_9^post13, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 1 New rule: l12 -> l10 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=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 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^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 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 3 Eliminating location l10 by chaining: Applied chaining First rule: l12 -> l10 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 3 Second rule: l10 -> l11 : 1+temp5_9^0 <= 0, cost: 1 New rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, (0 == 0 /\ 1+temp5_9^post13 <= 0), cost: 4 Applied simplification Original rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, (0 == 0 /\ 1+temp5_9^post13 <= 0), cost: 4 New rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 Applied chaining First rule: l12 -> l10 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 0 == 0, cost: 3 Second rule: l10 -> l11 : -1+temp5_9^0 >= 0, cost: 1 New rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, (0 == 0 /\ -1+temp5_9^post13 >= 0), cost: 4 Applied simplification Original rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, (0 == 0 /\ -1+temp5_9^post13 >= 0), cost: 4 New rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=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 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 0 == 0, cost: 1 Second rule: l8 -> l9 : 1+temp5_9^0 <= 0, cost: 1 New rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, (0 == 0 /\ 1+temp5_9^post7 <= 0), cost: 2 Applied simplification Original rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, (0 == 0 /\ 1+temp5_9^post7 <= 0), cost: 2 New rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 1+temp5_9^post7 <= 0, cost: 2 Applied chaining First rule: l4 -> l8 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 0 == 0, cost: 1 Second rule: l8 -> l9 : -1+temp5_9^0 >= 0, cost: 1 New rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, (0 == 0 /\ -1+temp5_9^post7 >= 0), cost: 2 Applied simplification Original rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, (0 == 0 /\ -1+temp5_9^post7 >= 0), cost: 2 New rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, -1+temp5_9^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 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 1+temp5_9^post7 <= 0, cost: 2 35: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, -1+temp5_9^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 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 33: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Eliminating location l11 by chaining: Applied chaining First rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, 1+temp5_9^post13 <= 0, cost: 4 Second rule: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 New rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 Applied chaining First rule: l12 -> l11 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=x_10^post0, nondet_8^0'=temp5_9^post13, -1+temp5_9^post13 >= 0, cost: 4 Second rule: l11 -> l4 : x_10^0'=1+x_10^0, -1+x_10^0 >= 0, cost: 1 New rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 Applied deletion Removed the following rules: 27 32 33 Eliminating location l9 by chaining: Applied chaining First rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, 1+temp5_9^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 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: 4 Applied chaining First rule: l4 -> l9 : temp5_9^0'=temp5_9^post7, nondet_8^0'=temp5_9^post7, -1+temp5_9^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 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+temp5_9^post7 >= 0 /\ -1+x_10^0 >= 0), cost: 4 Applied deletion Removed the following rules: 31 34 35 Eliminated locations on tree-shaped paths Start location: l12 38: l4 -> l4 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: 4 39: l4 -> l4 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+temp5_9^post7 >= 0 /\ -1+x_10^0 >= 0), cost: 4 36: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 37: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 Applied nonterm Original rule: l4 -> l4 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: 4 New rule: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ -1-temp5_9^post7 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_ekpAFE.txt Applied nonterm Original rule: l4 -> l4 : temp5_9^0'=temp5_9^post7, x_10^0'=1+x_10^0, nondet_8^0'=temp5_9^post7, (-1+temp5_9^post7 >= 0 /\ -1+x_10^0 >= 0), cost: 4 New rule: l4 -> [13] : (-1+temp5_9^post7 >= 0 /\ -1+n0 >= 0 /\ -1+x_10^0 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_HbEIhj.txt Applied simplification Original rule: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ -1-temp5_9^post7 >= 0), cost: NONTERM New rule: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: NONTERM Applied deletion Removed the following rules: 38 39 Accelerated simple loops Start location: l12 41: l4 -> [13] : (-1+temp5_9^post7 >= 0 /\ -1+n0 >= 0 /\ -1+x_10^0 >= 0), cost: NONTERM 42: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: NONTERM 36: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 37: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 Applied chaining First rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 Second rule: l4 -> [13] : (-1+temp5_9^post7 >= 0 /\ -1+n0 >= 0 /\ -1+x_10^0 >= 0), cost: NONTERM New rule: l12 -> [13] : TRUE, cost: NONTERM Applied chaining First rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 Second rule: l4 -> [13] : (-1+temp5_9^post7 >= 0 /\ -1+n0 >= 0 /\ -1+x_10^0 >= 0), cost: NONTERM New rule: l12 -> [13] : TRUE, cost: NONTERM Applied chaining First rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 Second rule: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: NONTERM New rule: l12 -> [13] : TRUE, cost: NONTERM Applied chaining First rule: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 Second rule: l4 -> [13] : (-1+n >= 0 /\ -1+x_10^0 >= 0 /\ 1+temp5_9^post7 <= 0), cost: NONTERM New rule: l12 -> [13] : TRUE, cost: NONTERM Applied deletion Removed the following rules: 41 42 Chained accelerated rules with incoming rules Start location: l12 36: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (1+temp5_9^post13 <= 0 /\ -1+x_10^post0 >= 0), cost: 5 37: l12 -> l4 : temp6_11^0'=x_10^post0, nondet_7^0'=x_10^post0, temp5_9^0'=temp5_9^post13, x_10^0'=1+x_10^post0, nondet_8^0'=temp5_9^post13, (-1+x_10^post0 >= 0 /\ -1+temp5_9^post13 >= 0), cost: 5 43: l12 -> [13] : TRUE, cost: NONTERM Removed unreachable locations and irrelevant leafs Start location: l12 43: l12 -> [13] : TRUE, 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: TRUE