WORST_CASE(Omega(0),?) Initial ITS Start location: l7 0: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 1: l1 -> l2 : nd_12^0'=nd_12^post1, x_13^0'=x_13^post1, rv_15^0'=rv_15^post1, st_16^0'=st_16^post1, rt_11^0'=rt_11^post1, y_17^0'=y_17^post1, st_14^0'=st_14^post1, (-st_14^0+rt_11^post1 == 0 /\ x_13^0 <= 0 /\ st_16^0-st_16^post1 == 0 /\ -st_14^post1+st_14^0 == 0 /\ x_13^0-x_13^post1 == 0 /\ rv_15^0-rv_15^post1 == 0 /\ nd_12^0-nd_12^post1 == 0 /\ -y_17^post1+y_17^0 == 0), cost: 1 2: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 4: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 3: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 5: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 6: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 7: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 8: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 9: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 Removed unreachable rules and leafs Start location: l7 0: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 2: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 4: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 3: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 5: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 6: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 7: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 8: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 9: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 New rule: l1 -> l3 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1 Applied preprocessing Original rule: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 New rule: l3 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 New rule: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 New rule: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 New rule: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 New rule: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 New rule: l4 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 New rule: l7 -> l0 : TRUE, cost: 1 Simplified rules Start location: l7 10: l0 -> l1 : TRUE, cost: 1 11: l1 -> l3 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1 13: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 12: l3 -> l1 : TRUE, cost: 1 14: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 15: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 16: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 1 17: l4 -> l1 : TRUE, cost: 1 18: l7 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l7 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : TRUE, cost: 1 New rule: l7 -> l1 : TRUE, cost: 2 Applied deletion Removed the following rules: 10 18 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1 Second rule: l3 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2 Applied deletion Removed the following rules: 11 12 Eliminating location l4 by chaining: Applied chaining First rule: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 1 Second rule: l4 -> l1 : TRUE, cost: 1 New rule: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 Applied deletion Removed the following rules: 16 17 Eliminated locations on linear paths Start location: l7 13: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 20: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2 14: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 15: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 21: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 19: l7 -> l1 : TRUE, cost: 2 Applied acceleration Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-n0+y_17^0, (-1+n0 >= 0 /\ -1+x_13^0 >= 0 /\ -2-n0+y_17^0 >= 0), cost: 2*n0 Applied instantiation Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-n0+y_17^0, (-1+n0 >= 0 /\ -1+x_13^0 >= 0 /\ -2-n0+y_17^0 >= 0), cost: 2*n0 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (0 >= 0 /\ -1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (0 >= 0 /\ -1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 Applied deletion Removed the following rules: 20 Accelerated simple loops Start location: l7 13: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 23: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 14: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 15: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 21: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 19: l7 -> l1 : TRUE, cost: 2 Applied chaining First rule: l7 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 New rule: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Applied chaining First rule: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 Second rule: l1 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0 New rule: l6 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0), cost: -2+2*nd_12^12 Applied deletion Removed the following rules: 23 Chained accelerated rules with incoming rules Start location: l7 13: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 14: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 15: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 21: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 25: l6 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0), cost: -2+2*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Eliminating location l5 by chaining: Applied chaining First rule: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 Second rule: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 New rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0), cost: 2 Applied chaining First rule: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 Second rule: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 New rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0), cost: 2 Applied deletion Removed the following rules: 13 14 15 Eliminated locations on tree-shaped paths Start location: l7 26: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0), cost: 2 27: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0), cost: 2 21: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 25: l6 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0), cost: -2+2*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Applied merging first rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0), cost: 2 second rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0), cost: 2 new rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 2 Merged rules Start location: l7 28: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 2 21: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 25: l6 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0), cost: -2+2*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Eliminating location l6 by chaining: Applied chaining First rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 2 Second rule: l6 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 2 New rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (0 == 0 /\ ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0))), cost: 4 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (0 == 0 /\ ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0))), cost: 4 New rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 4 Applied chaining First rule: l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 2 Second rule: l6 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0), cost: -2+2*nd_12^12 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0))), cost: 2*nd_12^12 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0))), cost: 2*nd_12^12 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ ((1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0) \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 Applied deletion Removed the following rules: 21 25 28 Eliminated locations on tree-shaped paths Start location: l7 29: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 4 30: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ ((1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0) \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ ((1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0) \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 Simplified simple loops Start location: l7 29: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 4 31: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Applied acceleration Original rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, ((-1+x_13^0 >= 0 /\ -1+nd_12^11 >= 0) \/ (1+nd_12^11 <= 0 /\ -1+x_13^0 >= 0)), cost: 4 New rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=x_13^0-n4, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+n4 >= 0 /\ ((x_13^0-n4 >= 0 /\ -1+nd_12^11 >= 0) \/ (-1-nd_12^11 >= 0 /\ x_13^0-n4 >= 0))), cost: 4*n4 Applied instantiation Original rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=x_13^0-n4, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+n4 >= 0 /\ ((x_13^0-n4 >= 0 /\ -1+nd_12^11 >= 0) \/ (-1-nd_12^11 >= 0 /\ x_13^0-n4 >= 0))), cost: 4*n4 New rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ -1+nd_12^11 >= 0) \/ (0 >= 0 /\ -1-nd_12^11 >= 0))), cost: 4*x_13^0 Applied acceleration Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=-1+x_13^0, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=x_13^0-n6, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0-n6 >= 0 /\ -3+nd_12^12 >= 0 /\ -1+n6 >= 0 /\ (-1-nd_12^11 >= 0 \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12*n6 Applied instantiation Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=x_13^0-n6, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0-n6 >= 0 /\ -3+nd_12^12 >= 0 /\ -1+n6 >= 0 /\ (-1-nd_12^11 >= 0 \/ -1+nd_12^11 >= 0)), cost: 2*nd_12^12*n6 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (0 >= 0 /\ -2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (-1-nd_12^11 >= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ -1+nd_12^11 >= 0) \/ (0 >= 0 /\ -1-nd_12^11 >= 0))), cost: 4*x_13^0 New rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ 1+nd_12^11 <= 0) \/ -1+nd_12^11 >= 0)), cost: 4*x_13^0 Applied simplification Original rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (0 >= 0 /\ -2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (-1-nd_12^11 >= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 New rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 Applied deletion Removed the following rules: 29 31 Accelerated simple loops Start location: l7 34: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ 1+nd_12^11 <= 0) \/ -1+nd_12^11 >= 0)), cost: 4*x_13^0 35: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Applied chaining First rule: l7 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ 1+nd_12^11 <= 0) \/ -1+nd_12^11 >= 0)), cost: 4*x_13^0 New rule: l7 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2+4*x_13^0 Applied chaining First rule: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Second rule: l1 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ ((0 >= 0 /\ 1+nd_12^11 <= 0) \/ -1+nd_12^11 >= 0)), cost: 4*x_13^0 New rule: l7 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, st_16^0'=st_16^post2, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: -2+4*x_13^0+2*y_17^0 Applied chaining First rule: l7 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 New rule: l7 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2+2*(-1+x_13^0)*nd_12^12 Applied chaining First rule: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 Second rule: l1 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2*(-1+x_13^0)*nd_12^12 New rule: l7 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ -3+y_17^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: -2+2*(-1+x_13^0)*nd_12^12+2*y_17^0 Applied deletion Removed the following rules: 34 35 Chained accelerated rules with incoming rules Start location: l7 19: l7 -> l1 : TRUE, cost: 2 24: l7 -> l1 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0 36: l7 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2+4*x_13^0 37: l7 -> l1 : nd_12^0'=nd_12^post7, x_13^0'=0, rv_15^0'=nd_12^11, st_16^0'=st_16^post2, y_17^0'=nd_12^12, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: -2+4*x_13^0+2*y_17^0 38: l7 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: 2+2*(-1+x_13^0)*nd_12^12 39: l7 -> l1 : nd_12^0'=nd_12^post2, x_13^0'=1, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=2, (-2+x_13^0 >= 0 /\ -3+nd_12^12 >= 0 /\ -3+y_17^0 >= 0 /\ (1+nd_12^11 <= 0 \/ -1+nd_12^11 >= 0)), cost: -2+2*(-1+x_13^0)*nd_12^12+2*y_17^0 Removed unreachable locations and irrelevant leafs Start location: l7 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0