WORST_CASE(Omega(0),?) Initial ITS Start location: l8 0: l0 -> l1 : __const_20^0'=__const_20^post0, oldX2^0'=oldX2^post0, __const_99^0'=__const_99^post0, x0^0'=x0^post0, oldX1^0'=oldX1^post0, __const_5^0'=__const_5^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, (0 == 0 /\ __const_20^0-__const_20^post0 == 0 /\ -oldX2^post0+x0^post0 == 0 /\ oldX0^post0-x0^0 == 0 /\ oldX1^post0-x1^0 == 0 /\ __const_5^0-__const_5^post0 == 0 /\ __const_99^0-__const_99^post0 == 0 /\ x1^post0-oldX3^post0 == 0), cost: 1 1: l2 -> l3 : __const_20^0'=__const_20^post1, oldX2^0'=oldX2^post1, __const_99^0'=__const_99^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_5^0'=__const_5^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (__const_5^0-__const_5^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ oldX1^post1-x1^0 == 0 /\ __const_20^0-__const_20^post1 == 0 /\ -3-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0), cost: 1 2: l3 -> l0 : __const_20^0'=__const_20^post2, oldX2^0'=oldX2^post2, __const_99^0'=__const_99^post2, x0^0'=x0^post2, oldX1^0'=oldX1^post2, __const_5^0'=__const_5^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, (__const_20^0-__const_20^post2 == 0 /\ oldX2^0-oldX2^post2 == 0 /\ 1+__const_20^0-oldX1^post2 <= 0 /\ -x0^0+oldX0^post2 == 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX3^post2+oldX3^0 == 0 /\ -__const_99^post2+__const_99^0 == 0 /\ x0^post2-oldX0^post2 == 0 /\ oldX1^post2-x1^0 == 0 /\ -__const_5^post2+__const_5^0 == 0), cost: 1 3: l3 -> l2 : __const_20^0'=__const_20^post3, oldX2^0'=oldX2^post3, __const_99^0'=__const_99^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_5^0'=__const_5^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (-oldX1^post3+x1^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ -__const_20^0+oldX1^post3 <= 0 /\ -oldX0^post3+x0^post3 == 0 /\ -__const_5^post3+__const_5^0 == 0 /\ __const_20^0-__const_20^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ __const_99^0-__const_99^post3 == 0), cost: 1 4: l4 -> l5 : __const_20^0'=__const_20^post4, oldX2^0'=oldX2^post4, __const_99^0'=__const_99^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_5^0'=__const_5^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (0 == 0 /\ oldX1^post4-x1^0 == 0 /\ -oldX2^post4+x1^post4 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -oldX3^post4+oldX3^0 == 0 /\ __const_99^0-__const_99^post4 == 0 /\ __const_20^0-__const_20^post4 == 0 /\ -1-oldX0^post4+x0^post4 == 0 /\ oldX0^post4-x0^0 == 0), cost: 1 5: l5 -> l3 : __const_20^0'=__const_20^post5, oldX2^0'=oldX2^post5, __const_99^0'=__const_99^post5, x0^0'=x0^post5, oldX1^0'=oldX1^post5, __const_5^0'=__const_5^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, (-x0^0+oldX0^post5 == 0 /\ __const_99^0-__const_99^post5 == 0 /\ x1^post5-__const_5^0 == 0 /\ oldX1^post5-x1^0 == 0 /\ oldX2^0-oldX2^post5 == 0 /\ x0^post5-oldX0^post5 == 0 /\ __const_20^0-__const_20^post5 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ __const_5^0-__const_5^post5 == 0 /\ 1+__const_99^0-oldX0^post5 <= 0), cost: 1 6: l5 -> l4 : __const_20^0'=__const_20^post6, oldX2^0'=oldX2^post6, __const_99^0'=__const_99^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_5^0'=__const_5^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ __const_99^0-__const_99^post6 == 0 /\ -__const_5^post6+__const_5^0 == 0 /\ oldX1^post6-x1^0 == 0 /\ x0^post6-oldX0^post6 == 0 /\ -__const_99^0+oldX0^post6 <= 0 /\ __const_20^0-__const_20^post6 == 0 /\ -oldX3^post6+oldX3^0 == 0 /\ x1^post6-oldX2^post6 == 0), cost: 1 7: l6 -> l5 : __const_20^0'=__const_20^post7, oldX2^0'=oldX2^post7, __const_99^0'=__const_99^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_5^0'=__const_5^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -__const_5^post7+__const_5^0 == 0 /\ __const_20^0-__const_20^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ __const_99^0-__const_99^post7 == 0 /\ -oldX2^post7+x1^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0), cost: 1 8: l7 -> l6 : __const_20^0'=__const_20^post8, oldX2^0'=oldX2^post8, __const_99^0'=__const_99^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_5^0'=__const_5^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ x1^post8-oldX3^post8 == 0 /\ oldX1^post8-x1^0 == 0 /\ -__const_5^post8+__const_5^0 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __const_20^0-__const_20^post8 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ -x0^0+oldX0^post8 == 0), cost: 1 9: l7 -> l1 : __const_20^0'=__const_20^post9, oldX2^0'=oldX2^post9, __const_99^0'=__const_99^post9, x0^0'=x0^post9, oldX1^0'=oldX1^post9, __const_5^0'=__const_5^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, (-oldX0^post9+oldX0^0 == 0 /\ __const_20^0-__const_20^post9 == 0 /\ __const_99^0-__const_99^post9 == 0 /\ -x1^post9+x1^0 == 0 /\ -__const_5^post9+__const_5^0 == 0 /\ -oldX3^post9+oldX3^0 == 0 /\ -oldX1^post9+oldX1^0 == 0 /\ x0^0-x0^post9 == 0 /\ oldX2^0-oldX2^post9 == 0), cost: 1 10: l7 -> l0 : __const_20^0'=__const_20^post10, oldX2^0'=oldX2^post10, __const_99^0'=__const_99^post10, x0^0'=x0^post10, oldX1^0'=oldX1^post10, __const_5^0'=__const_5^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, (__const_20^0-__const_20^post10 == 0 /\ oldX2^0-oldX2^post10 == 0 /\ -x1^post10+x1^0 == 0 /\ oldX0^0-oldX0^post10 == 0 /\ -oldX3^post10+oldX3^0 == 0 /\ -__const_5^post10+__const_5^0 == 0 /\ __const_99^0-__const_99^post10 == 0 /\ oldX1^0-oldX1^post10 == 0 /\ -x0^post10+x0^0 == 0), cost: 1 11: l7 -> l2 : __const_20^0'=__const_20^post11, oldX2^0'=oldX2^post11, __const_99^0'=__const_99^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_5^0'=__const_5^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (-__const_99^post11+__const_99^0 == 0 /\ -x0^post11+x0^0 == 0 /\ __const_20^0-__const_20^post11 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ oldX2^0-oldX2^post11 == 0 /\ -x1^post11+x1^0 == 0 /\ -__const_5^post11+__const_5^0 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 12: l7 -> l3 : __const_20^0'=__const_20^post12, oldX2^0'=oldX2^post12, __const_99^0'=__const_99^post12, x0^0'=x0^post12, oldX1^0'=oldX1^post12, __const_5^0'=__const_5^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, (oldX1^0-oldX1^post12 == 0 /\ x0^0-x0^post12 == 0 /\ oldX2^0-oldX2^post12 == 0 /\ oldX3^0-oldX3^post12 == 0 /\ -oldX0^post12+oldX0^0 == 0 /\ -x1^post12+x1^0 == 0 /\ __const_99^0-__const_99^post12 == 0 /\ -__const_5^post12+__const_5^0 == 0 /\ __const_20^0-__const_20^post12 == 0), cost: 1 13: l7 -> l4 : __const_20^0'=__const_20^post13, oldX2^0'=oldX2^post13, __const_99^0'=__const_99^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_5^0'=__const_5^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (oldX2^0-oldX2^post13 == 0 /\ oldX3^0-oldX3^post13 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -x1^post13+x1^0 == 0 /\ __const_99^0-__const_99^post13 == 0 /\ __const_20^0-__const_20^post13 == 0), cost: 1 14: l7 -> l5 : __const_20^0'=__const_20^post14, oldX2^0'=oldX2^post14, __const_99^0'=__const_99^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_5^0'=__const_5^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_20^0-__const_20^post14 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -oldX1^post14+oldX1^0 == 0 /\ -x1^post14+x1^0 == 0 /\ x0^0-x0^post14 == 0 /\ __const_99^0-__const_99^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0), cost: 1 15: l7 -> l6 : __const_20^0'=__const_20^post15, oldX2^0'=oldX2^post15, __const_99^0'=__const_99^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_5^0'=__const_5^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (__const_99^0-__const_99^post15 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x1^post15+x1^0 == 0 /\ __const_5^0-__const_5^post15 == 0 /\ __const_20^0-__const_20^post15 == 0 /\ -oldX3^post15+oldX3^0 == 0), cost: 1 16: l8 -> l7 : __const_20^0'=__const_20^post16, oldX2^0'=oldX2^post16, __const_99^0'=__const_99^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_5^0'=__const_5^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (-oldX0^post16+oldX0^0 == 0 /\ __const_20^0-__const_20^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -__const_5^post16+__const_5^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -x0^post16+x0^0 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ __const_99^0-__const_99^post16 == 0 /\ oldX2^0-oldX2^post16 == 0), cost: 1 Removed unreachable rules and leafs Start location: l8 1: l2 -> l3 : __const_20^0'=__const_20^post1, oldX2^0'=oldX2^post1, __const_99^0'=__const_99^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_5^0'=__const_5^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (__const_5^0-__const_5^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ oldX1^post1-x1^0 == 0 /\ __const_20^0-__const_20^post1 == 0 /\ -3-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0), cost: 1 3: l3 -> l2 : __const_20^0'=__const_20^post3, oldX2^0'=oldX2^post3, __const_99^0'=__const_99^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_5^0'=__const_5^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (-oldX1^post3+x1^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ -__const_20^0+oldX1^post3 <= 0 /\ -oldX0^post3+x0^post3 == 0 /\ -__const_5^post3+__const_5^0 == 0 /\ __const_20^0-__const_20^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ __const_99^0-__const_99^post3 == 0), cost: 1 4: l4 -> l5 : __const_20^0'=__const_20^post4, oldX2^0'=oldX2^post4, __const_99^0'=__const_99^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_5^0'=__const_5^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (0 == 0 /\ oldX1^post4-x1^0 == 0 /\ -oldX2^post4+x1^post4 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -oldX3^post4+oldX3^0 == 0 /\ __const_99^0-__const_99^post4 == 0 /\ __const_20^0-__const_20^post4 == 0 /\ -1-oldX0^post4+x0^post4 == 0 /\ oldX0^post4-x0^0 == 0), cost: 1 5: l5 -> l3 : __const_20^0'=__const_20^post5, oldX2^0'=oldX2^post5, __const_99^0'=__const_99^post5, x0^0'=x0^post5, oldX1^0'=oldX1^post5, __const_5^0'=__const_5^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, (-x0^0+oldX0^post5 == 0 /\ __const_99^0-__const_99^post5 == 0 /\ x1^post5-__const_5^0 == 0 /\ oldX1^post5-x1^0 == 0 /\ oldX2^0-oldX2^post5 == 0 /\ x0^post5-oldX0^post5 == 0 /\ __const_20^0-__const_20^post5 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ __const_5^0-__const_5^post5 == 0 /\ 1+__const_99^0-oldX0^post5 <= 0), cost: 1 6: l5 -> l4 : __const_20^0'=__const_20^post6, oldX2^0'=oldX2^post6, __const_99^0'=__const_99^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_5^0'=__const_5^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ __const_99^0-__const_99^post6 == 0 /\ -__const_5^post6+__const_5^0 == 0 /\ oldX1^post6-x1^0 == 0 /\ x0^post6-oldX0^post6 == 0 /\ -__const_99^0+oldX0^post6 <= 0 /\ __const_20^0-__const_20^post6 == 0 /\ -oldX3^post6+oldX3^0 == 0 /\ x1^post6-oldX2^post6 == 0), cost: 1 7: l6 -> l5 : __const_20^0'=__const_20^post7, oldX2^0'=oldX2^post7, __const_99^0'=__const_99^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_5^0'=__const_5^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -__const_5^post7+__const_5^0 == 0 /\ __const_20^0-__const_20^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ __const_99^0-__const_99^post7 == 0 /\ -oldX2^post7+x1^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0), cost: 1 8: l7 -> l6 : __const_20^0'=__const_20^post8, oldX2^0'=oldX2^post8, __const_99^0'=__const_99^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_5^0'=__const_5^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ x1^post8-oldX3^post8 == 0 /\ oldX1^post8-x1^0 == 0 /\ -__const_5^post8+__const_5^0 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __const_20^0-__const_20^post8 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ -x0^0+oldX0^post8 == 0), cost: 1 11: l7 -> l2 : __const_20^0'=__const_20^post11, oldX2^0'=oldX2^post11, __const_99^0'=__const_99^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_5^0'=__const_5^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (-__const_99^post11+__const_99^0 == 0 /\ -x0^post11+x0^0 == 0 /\ __const_20^0-__const_20^post11 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ oldX2^0-oldX2^post11 == 0 /\ -x1^post11+x1^0 == 0 /\ -__const_5^post11+__const_5^0 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 12: l7 -> l3 : __const_20^0'=__const_20^post12, oldX2^0'=oldX2^post12, __const_99^0'=__const_99^post12, x0^0'=x0^post12, oldX1^0'=oldX1^post12, __const_5^0'=__const_5^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, (oldX1^0-oldX1^post12 == 0 /\ x0^0-x0^post12 == 0 /\ oldX2^0-oldX2^post12 == 0 /\ oldX3^0-oldX3^post12 == 0 /\ -oldX0^post12+oldX0^0 == 0 /\ -x1^post12+x1^0 == 0 /\ __const_99^0-__const_99^post12 == 0 /\ -__const_5^post12+__const_5^0 == 0 /\ __const_20^0-__const_20^post12 == 0), cost: 1 13: l7 -> l4 : __const_20^0'=__const_20^post13, oldX2^0'=oldX2^post13, __const_99^0'=__const_99^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_5^0'=__const_5^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (oldX2^0-oldX2^post13 == 0 /\ oldX3^0-oldX3^post13 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -x1^post13+x1^0 == 0 /\ __const_99^0-__const_99^post13 == 0 /\ __const_20^0-__const_20^post13 == 0), cost: 1 14: l7 -> l5 : __const_20^0'=__const_20^post14, oldX2^0'=oldX2^post14, __const_99^0'=__const_99^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_5^0'=__const_5^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_20^0-__const_20^post14 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -oldX1^post14+oldX1^0 == 0 /\ -x1^post14+x1^0 == 0 /\ x0^0-x0^post14 == 0 /\ __const_99^0-__const_99^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0), cost: 1 15: l7 -> l6 : __const_20^0'=__const_20^post15, oldX2^0'=oldX2^post15, __const_99^0'=__const_99^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_5^0'=__const_5^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (__const_99^0-__const_99^post15 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x1^post15+x1^0 == 0 /\ __const_5^0-__const_5^post15 == 0 /\ __const_20^0-__const_20^post15 == 0 /\ -oldX3^post15+oldX3^0 == 0), cost: 1 16: l8 -> l7 : __const_20^0'=__const_20^post16, oldX2^0'=oldX2^post16, __const_99^0'=__const_99^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_5^0'=__const_5^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (-oldX0^post16+oldX0^0 == 0 /\ __const_20^0-__const_20^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -__const_5^post16+__const_5^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -x0^post16+x0^0 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ __const_99^0-__const_99^post16 == 0 /\ oldX2^0-oldX2^post16 == 0), cost: 1 Applied preprocessing Original rule: l2 -> l3 : __const_20^0'=__const_20^post1, oldX2^0'=oldX2^post1, __const_99^0'=__const_99^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_5^0'=__const_5^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (__const_5^0-__const_5^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ oldX1^post1-x1^0 == 0 /\ __const_20^0-__const_20^post1 == 0 /\ -3-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0), cost: 1 New rule: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l2 : __const_20^0'=__const_20^post3, oldX2^0'=oldX2^post3, __const_99^0'=__const_99^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_5^0'=__const_5^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (-oldX1^post3+x1^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ -__const_20^0+oldX1^post3 <= 0 /\ -oldX0^post3+x0^post3 == 0 /\ -__const_5^post3+__const_5^0 == 0 /\ __const_20^0-__const_20^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ __const_99^0-__const_99^post3 == 0), cost: 1 New rule: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_20^0+x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l4 -> l5 : __const_20^0'=__const_20^post4, oldX2^0'=oldX2^post4, __const_99^0'=__const_99^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_5^0'=__const_5^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (0 == 0 /\ oldX1^post4-x1^0 == 0 /\ -oldX2^post4+x1^post4 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -oldX3^post4+oldX3^0 == 0 /\ __const_99^0-__const_99^post4 == 0 /\ __const_20^0-__const_20^post4 == 0 /\ -1-oldX0^post4+x0^post4 == 0 /\ oldX0^post4-x0^0 == 0), cost: 1 New rule: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l3 : __const_20^0'=__const_20^post5, oldX2^0'=oldX2^post5, __const_99^0'=__const_99^post5, x0^0'=x0^post5, oldX1^0'=oldX1^post5, __const_5^0'=__const_5^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, (-x0^0+oldX0^post5 == 0 /\ __const_99^0-__const_99^post5 == 0 /\ x1^post5-__const_5^0 == 0 /\ oldX1^post5-x1^0 == 0 /\ oldX2^0-oldX2^post5 == 0 /\ x0^post5-oldX0^post5 == 0 /\ __const_20^0-__const_20^post5 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ __const_5^0-__const_5^post5 == 0 /\ 1+__const_99^0-oldX0^post5 <= 0), cost: 1 New rule: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l4 : __const_20^0'=__const_20^post6, oldX2^0'=oldX2^post6, __const_99^0'=__const_99^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_5^0'=__const_5^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ __const_99^0-__const_99^post6 == 0 /\ -__const_5^post6+__const_5^0 == 0 /\ oldX1^post6-x1^0 == 0 /\ x0^post6-oldX0^post6 == 0 /\ -__const_99^0+oldX0^post6 <= 0 /\ __const_20^0-__const_20^post6 == 0 /\ -oldX3^post6+oldX3^0 == 0 /\ x1^post6-oldX2^post6 == 0), cost: 1 New rule: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l5 : __const_20^0'=__const_20^post7, oldX2^0'=oldX2^post7, __const_99^0'=__const_99^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_5^0'=__const_5^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -__const_5^post7+__const_5^0 == 0 /\ __const_20^0-__const_20^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ __const_99^0-__const_99^post7 == 0 /\ -oldX2^post7+x1^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0), cost: 1 New rule: l6 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l6 : __const_20^0'=__const_20^post8, oldX2^0'=oldX2^post8, __const_99^0'=__const_99^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_5^0'=__const_5^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ x1^post8-oldX3^post8 == 0 /\ oldX1^post8-x1^0 == 0 /\ -__const_5^post8+__const_5^0 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __const_20^0-__const_20^post8 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ -x0^0+oldX0^post8 == 0), cost: 1 New rule: l7 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l2 : __const_20^0'=__const_20^post11, oldX2^0'=oldX2^post11, __const_99^0'=__const_99^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_5^0'=__const_5^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (-__const_99^post11+__const_99^0 == 0 /\ -x0^post11+x0^0 == 0 /\ __const_20^0-__const_20^post11 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ oldX2^0-oldX2^post11 == 0 /\ -x1^post11+x1^0 == 0 /\ -__const_5^post11+__const_5^0 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 New rule: l7 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l3 : __const_20^0'=__const_20^post12, oldX2^0'=oldX2^post12, __const_99^0'=__const_99^post12, x0^0'=x0^post12, oldX1^0'=oldX1^post12, __const_5^0'=__const_5^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, (oldX1^0-oldX1^post12 == 0 /\ x0^0-x0^post12 == 0 /\ oldX2^0-oldX2^post12 == 0 /\ oldX3^0-oldX3^post12 == 0 /\ -oldX0^post12+oldX0^0 == 0 /\ -x1^post12+x1^0 == 0 /\ __const_99^0-__const_99^post12 == 0 /\ -__const_5^post12+__const_5^0 == 0 /\ __const_20^0-__const_20^post12 == 0), cost: 1 New rule: l7 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l4 : __const_20^0'=__const_20^post13, oldX2^0'=oldX2^post13, __const_99^0'=__const_99^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_5^0'=__const_5^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (oldX2^0-oldX2^post13 == 0 /\ oldX3^0-oldX3^post13 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -x1^post13+x1^0 == 0 /\ __const_99^0-__const_99^post13 == 0 /\ __const_20^0-__const_20^post13 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l5 : __const_20^0'=__const_20^post14, oldX2^0'=oldX2^post14, __const_99^0'=__const_99^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_5^0'=__const_5^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_20^0-__const_20^post14 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -oldX1^post14+oldX1^0 == 0 /\ -x1^post14+x1^0 == 0 /\ x0^0-x0^post14 == 0 /\ __const_99^0-__const_99^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0), cost: 1 New rule: l7 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l6 : __const_20^0'=__const_20^post15, oldX2^0'=oldX2^post15, __const_99^0'=__const_99^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_5^0'=__const_5^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (__const_99^0-__const_99^post15 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x1^post15+x1^0 == 0 /\ __const_5^0-__const_5^post15 == 0 /\ __const_20^0-__const_20^post15 == 0 /\ -oldX3^post15+oldX3^0 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : __const_20^0'=__const_20^post16, oldX2^0'=oldX2^post16, __const_99^0'=__const_99^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_5^0'=__const_5^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (-oldX0^post16+oldX0^0 == 0 /\ __const_20^0-__const_20^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -__const_5^post16+__const_5^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -x0^post16+x0^0 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ __const_99^0-__const_99^post16 == 0 /\ oldX2^0-oldX2^post16 == 0), cost: 1 New rule: l8 -> l7 : TRUE, cost: 1 Simplified rules Start location: l8 17: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 1 18: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_20^0+x1^0 <= 0, cost: 1 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 22: l6 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 1 23: l7 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 1 24: l7 -> l2 : TRUE, cost: 1 25: l7 -> l3 : TRUE, cost: 1 26: l7 -> l4 : TRUE, cost: 1 27: l7 -> l5 : TRUE, cost: 1 28: l7 -> l6 : TRUE, cost: 1 29: l8 -> l7 : TRUE, cost: 1 Eliminating location l7 by chaining: Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 1 New rule: l8 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 2 Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l2 : TRUE, cost: 1 New rule: l8 -> l2 : TRUE, cost: 2 Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l3 : TRUE, cost: 1 New rule: l8 -> l3 : TRUE, cost: 2 Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l4 : TRUE, cost: 1 New rule: l8 -> l4 : TRUE, cost: 2 Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l5 : TRUE, cost: 1 New rule: l8 -> l5 : TRUE, cost: 2 Applied chaining First rule: l8 -> l7 : TRUE, cost: 1 Second rule: l7 -> l6 : TRUE, cost: 1 New rule: l8 -> l6 : TRUE, cost: 2 Applied deletion Removed the following rules: 23 24 25 26 27 28 29 Eliminated locations on tree-shaped paths Start location: l8 17: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 1 18: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_20^0+x1^0 <= 0, cost: 1 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 22: l6 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 1 30: l8 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 2 31: l8 -> l2 : TRUE, cost: 2 32: l8 -> l3 : TRUE, cost: 2 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 35: l8 -> l6 : TRUE, cost: 2 Eliminating location l6 by chaining: Applied chaining First rule: l8 -> l6 : oldX2^0'=x0^post8, x0^0'=x0^post8, oldX1^0'=x1^0, oldX3^0'=oldX3^post8, oldX0^0'=x0^0, x1^0'=oldX3^post8, 0 == 0, cost: 2 Second rule: l6 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 1 New rule: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 Applied chaining First rule: l8 -> l6 : TRUE, cost: 2 Second rule: l6 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 1 New rule: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 Applied deletion Removed the following rules: 22 30 35 Eliminated locations on tree-shaped paths Start location: l8 17: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 1 18: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_20^0+x1^0 <= 0, cost: 1 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 31: l8 -> l2 : TRUE, cost: 2 32: l8 -> l3 : TRUE, cost: 2 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 Eliminated location l2 Start location: l8 38: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, -__const_20^0+x1^0 <= 0, cost: 2 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 32: l8 -> l3 : TRUE, cost: 2 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 39: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 3 Applied acceleration Original rule: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, -__const_20^0+x1^0 <= 0, cost: 2 New rule: l3 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2*n0 Applied deletion Removed the following rules: 38 Accelerated simple loops Start location: l8 40: l3 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2*n0 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 32: l8 -> l3 : TRUE, cost: 2 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 39: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 3 Applied chaining First rule: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 Second rule: l3 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2*n0 New rule: l5 -> l3 : oldX1^0'=-3+__const_5^0+3*n0, oldX0^0'=x0^0, x1^0'=__const_5^0+3*n0, (3+__const_20^0-__const_5^0-3*n0 >= 0 /\ -1+n0 >= 0 /\ 1+__const_99^0-x0^0 <= 0), cost: 1+2*n0 Applied chaining First rule: l8 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2*n0 New rule: l8 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2+2*n0 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 3 Second rule: l3 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2*n0 New rule: l8 -> l3 : oldX1^0'=x1^0+3*n0, oldX0^0'=x0^0, x1^0'=3+x1^0+3*n0, (-1+n0 >= 0 /\ __const_20^0-x1^0-3*n0 >= 0), cost: 3+2*n0 Applied deletion Removed the following rules: 40 Chained accelerated rules with incoming rules Start location: l8 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 20: l5 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=__const_5^0, 1+__const_99^0-x0^0 <= 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 41: l5 -> l3 : oldX1^0'=-3+__const_5^0+3*n0, oldX0^0'=x0^0, x1^0'=__const_5^0+3*n0, (3+__const_20^0-__const_5^0-3*n0 >= 0 /\ -1+n0 >= 0 /\ 1+__const_99^0-x0^0 <= 0), cost: 1+2*n0 32: l8 -> l3 : TRUE, cost: 2 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 39: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3+x1^0, TRUE, cost: 3 42: l8 -> l3 : oldX1^0'=-3+x1^0+3*n0, oldX0^0'=x0^0, x1^0'=x1^0+3*n0, (-1+n0 >= 0 /\ 3+__const_20^0-x1^0-3*n0 >= 0), cost: 2+2*n0 43: l8 -> l3 : oldX1^0'=x1^0+3*n0, oldX0^0'=x0^0, x1^0'=3+x1^0+3*n0, (-1+n0 >= 0 /\ __const_20^0-x1^0-3*n0 >= 0), cost: 3+2*n0 Removed unreachable locations and irrelevant leafs Start location: l8 19: l4 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 1 21: l5 -> l4 : oldX2^0'=oldX2^post6, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post6, -__const_99^0+x0^0 <= 0, cost: 1 33: l8 -> l4 : TRUE, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 Eliminated location l4 Start location: l8 44: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=oldX2^post6, oldX0^0'=x0^0, x1^0'=x1^post4, -__const_99^0+x0^0 <= 0, cost: 2 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 45: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 3 Applied acceleration Original rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=oldX2^post6, oldX0^0'=x0^0, x1^0'=x1^post4, -__const_99^0+x0^0 <= 0, cost: 2 New rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=n3+x0^0, oldX1^0'=oldX2^post6, oldX0^0'=-1+n3+x0^0, x1^0'=x1^post4, (1+__const_99^0-n3-x0^0 >= 0 /\ -1+n3 >= 0), cost: 2*n3 Applied instantiation Original rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=n3+x0^0, oldX1^0'=oldX2^post6, oldX0^0'=-1+n3+x0^0, x1^0'=x1^post4, (1+__const_99^0-n3-x0^0 >= 0 /\ -1+n3 >= 0), cost: 2*n3 New rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, (0 >= 0 /\ __const_99^0-x0^0 >= 0), cost: 2+2*__const_99^0-2*x0^0 Applied simplification Original rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, (0 >= 0 /\ __const_99^0-x0^0 >= 0), cost: 2+2*__const_99^0-2*x0^0 New rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 Applied deletion Removed the following rules: 44 Accelerated simple loops Start location: l8 47: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 45: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 3 Applied chaining First rule: l8 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 New rule: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 4+2*__const_99^0-2*x0^0 Applied chaining First rule: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 Second rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 New rule: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX3^0'=oldX3^post8, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0 >= 0, cost: 5+2*__const_99^0 Applied chaining First rule: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 Second rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 New rule: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0 >= 0, cost: 5+2*__const_99^0 Applied chaining First rule: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 3 Second rule: l5 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 2+2*__const_99^0-2*x0^0 New rule: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, -1+__const_99^0-x0^0 >= 0, cost: 3+2*__const_99^0-2*x0^0 Applied deletion Removed the following rules: 47 Chained accelerated rules with incoming rules Start location: l8 34: l8 -> l5 : TRUE, cost: 2 36: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=x1^post7, 0 == 0, cost: 3 37: l8 -> l5 : oldX2^0'=x1^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post7, 0 == 0, cost: 3 45: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=x1^post4, 0 == 0, cost: 3 48: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0-x0^0 >= 0, cost: 4+2*__const_99^0-2*x0^0 49: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX3^0'=oldX3^post8, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0 >= 0, cost: 5+2*__const_99^0 50: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, __const_99^0 >= 0, cost: 5+2*__const_99^0 51: l8 -> l5 : oldX2^0'=x1^post4, x0^0'=1+__const_99^0, oldX1^0'=oldX2^post6, oldX0^0'=__const_99^0, x1^0'=x1^post4, -1+__const_99^0-x0^0 >= 0, cost: 3+2*__const_99^0-2*x0^0 Removed unreachable locations and irrelevant leafs Start location: l8 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0