WORST_CASE(Omega(0),?) Initial ITS Start location: l8 0: l0 -> l1 : oldX2^0'=oldX2^post0, __const_9^0'=__const_9^post0, x0^0'=x0^post0, oldX1^0'=oldX1^post0, __const_11^0'=__const_11^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, (0 == 0 /\ oldX1^post0-x1^0 == 0 /\ x1^post0-oldX2^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -__const_9^post0+__const_9^0 == 0 /\ oldX3^0-oldX3^post0 == 0 /\ -1-oldX0^post0+x0^post0 == 0 /\ __const_11^0-__const_11^post0 == 0), cost: 1 5: l1 -> l4 : oldX2^0'=oldX2^post5, __const_9^0'=__const_9^post5, x0^0'=x0^post5, oldX1^0'=oldX1^post5, __const_11^0'=__const_11^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, (0 == 0 /\ x1^post5-oldX2^post5 == 0 /\ oldX0^post5-x0^0 == 0 /\ -__const_11^post5+__const_11^0 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ oldX1^post5-x1^0 == 0 /\ -oldX0^post5+x0^post5 == 0 /\ 1-oldX0^post5+__const_9^0 <= 0 /\ __const_9^0-__const_9^post5 == 0), cost: 1 6: l1 -> l3 : oldX2^0'=oldX2^post6, __const_9^0'=__const_9^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_11^0'=__const_11^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ -3+x1^post6 == 0 /\ oldX2^0-oldX2^post6 == 0 /\ -__const_9^0+oldX0^post6 <= 0 /\ -__const_9^post6+__const_9^0 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ __const_11^0-__const_11^post6 == 0), cost: 1 1: l2 -> l3 : oldX2^0'=oldX2^post1, __const_9^0'=__const_9^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_11^0'=__const_11^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (oldX1^post1-x1^0 == 0 /\ __const_9^0-__const_9^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -1-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0 /\ -__const_11^post1+__const_11^0 == 0), cost: 1 3: l3 -> l0 : oldX2^0'=oldX2^post3, __const_9^0'=__const_9^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_11^0'=__const_11^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (__const_9^0-__const_9^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ oldX0^post3-x0^0 == 0 /\ 1+__const_11^0-oldX1^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ -__const_11^post3+__const_11^0 == 0 /\ oldX1^post3-x1^0 == 0), cost: 1 4: l3 -> l2 : oldX2^0'=oldX2^post4, __const_9^0'=__const_9^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_11^0'=__const_11^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (oldX2^0-oldX2^post4 == 0 /\ -oldX0^post4+x0^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ oldX1^post4-__const_11^0 <= 0 /\ __const_11^0-__const_11^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ __const_9^0-__const_9^post4 == 0 /\ oldX3^0-oldX3^post4 == 0), cost: 1 2: l4 -> l5 : oldX2^0'=oldX2^post2, __const_9^0'=__const_9^post2, x0^0'=x0^post2, oldX1^0'=oldX1^post2, __const_11^0'=__const_11^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, (0 == 0 /\ -x0^0+oldX0^post2 == 0 /\ -oldX3^post2+x1^post2 == 0 /\ -oldX2^post2+x0^post2 == 0 /\ oldX1^post2-x1^0 == 0 /\ __const_11^0-__const_11^post2 == 0 /\ -__const_9^post2+__const_9^0 == 0), cost: 1 7: l6 -> l1 : oldX2^0'=oldX2^post7, __const_9^0'=__const_9^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_11^0'=__const_11^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ __const_11^0-__const_11^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ x1^post7-oldX2^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0 /\ __const_9^0-__const_9^post7 == 0), cost: 1 8: l7 -> l6 : oldX2^0'=oldX2^post8, __const_9^0'=__const_9^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_11^0'=__const_11^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ -__const_11^post8+__const_11^0 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ x1^post8-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ __const_9^0-__const_9^post8 == 0 /\ oldX1^post8-x1^0 == 0), cost: 1 9: l7 -> l5 : oldX2^0'=oldX2^post9, __const_9^0'=__const_9^post9, x0^0'=x0^post9, oldX1^0'=oldX1^post9, __const_11^0'=__const_11^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, (-x0^post9+x0^0 == 0 /\ oldX1^0-oldX1^post9 == 0 /\ oldX0^0-oldX0^post9 == 0 /\ __const_9^0-__const_9^post9 == 0 /\ -x1^post9+x1^0 == 0 /\ oldX2^0-oldX2^post9 == 0 /\ -oldX3^post9+oldX3^0 == 0 /\ -__const_11^post9+__const_11^0 == 0), cost: 1 10: l7 -> l0 : oldX2^0'=oldX2^post10, __const_9^0'=__const_9^post10, x0^0'=x0^post10, oldX1^0'=oldX1^post10, __const_11^0'=__const_11^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, (x0^0-x0^post10 == 0 /\ oldX2^0-oldX2^post10 == 0 /\ -oldX0^post10+oldX0^0 == 0 /\ -x1^post10+x1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ -__const_11^post10+__const_11^0 == 0 /\ __const_9^0-__const_9^post10 == 0), cost: 1 11: l7 -> l2 : oldX2^0'=oldX2^post11, __const_9^0'=__const_9^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_11^0'=__const_11^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (oldX2^0-oldX2^post11 == 0 /\ __const_11^0-__const_11^post11 == 0 /\ -x0^post11+x0^0 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ __const_9^0-__const_9^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ -x1^post11+x1^0 == 0 /\ -oldX3^post11+oldX3^0 == 0), cost: 1 12: l7 -> l4 : oldX2^0'=oldX2^post12, __const_9^0'=__const_9^post12, x0^0'=x0^post12, oldX1^0'=oldX1^post12, __const_11^0'=__const_11^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, (__const_9^0-__const_9^post12 == 0 /\ -__const_11^post12+__const_11^0 == 0 /\ -x0^post12+x0^0 == 0 /\ -x1^post12+x1^0 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX0^post12+oldX0^0 == 0), cost: 1 13: l7 -> l3 : oldX2^0'=oldX2^post13, __const_9^0'=__const_9^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_11^0'=__const_11^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (-oldX3^post13+oldX3^0 == 0 /\ __const_11^0-__const_11^post13 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -__const_9^post13+__const_9^0 == 0 /\ -x1^post13+x1^0 == 0), cost: 1 14: l7 -> l1 : oldX2^0'=oldX2^post14, __const_9^0'=__const_9^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_11^0'=__const_11^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_9^0-__const_9^post14 == 0 /\ -x0^post14+x0^0 == 0 /\ -x1^post14+x1^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ -__const_11^post14+__const_11^0 == 0), cost: 1 15: l7 -> l6 : oldX2^0'=oldX2^post15, __const_9^0'=__const_9^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_11^0'=__const_11^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (-__const_9^post15+__const_9^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x1^post15+x1^0 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ __const_11^0-__const_11^post15 == 0 /\ oldX3^0-oldX3^post15 == 0), cost: 1 16: l8 -> l7 : oldX2^0'=oldX2^post16, __const_9^0'=__const_9^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_11^0'=__const_11^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (__const_9^0-__const_9^post16 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -__const_11^post16+__const_11^0 == 0 /\ -oldX0^post16+oldX0^0 == 0 /\ oldX2^0-oldX2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -x0^post16+x0^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l8 0: l0 -> l1 : oldX2^0'=oldX2^post0, __const_9^0'=__const_9^post0, x0^0'=x0^post0, oldX1^0'=oldX1^post0, __const_11^0'=__const_11^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, (0 == 0 /\ oldX1^post0-x1^0 == 0 /\ x1^post0-oldX2^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -__const_9^post0+__const_9^0 == 0 /\ oldX3^0-oldX3^post0 == 0 /\ -1-oldX0^post0+x0^post0 == 0 /\ __const_11^0-__const_11^post0 == 0), cost: 1 6: l1 -> l3 : oldX2^0'=oldX2^post6, __const_9^0'=__const_9^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_11^0'=__const_11^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ -3+x1^post6 == 0 /\ oldX2^0-oldX2^post6 == 0 /\ -__const_9^0+oldX0^post6 <= 0 /\ -__const_9^post6+__const_9^0 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ __const_11^0-__const_11^post6 == 0), cost: 1 1: l2 -> l3 : oldX2^0'=oldX2^post1, __const_9^0'=__const_9^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_11^0'=__const_11^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (oldX1^post1-x1^0 == 0 /\ __const_9^0-__const_9^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -1-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0 /\ -__const_11^post1+__const_11^0 == 0), cost: 1 3: l3 -> l0 : oldX2^0'=oldX2^post3, __const_9^0'=__const_9^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_11^0'=__const_11^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (__const_9^0-__const_9^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ oldX0^post3-x0^0 == 0 /\ 1+__const_11^0-oldX1^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ -__const_11^post3+__const_11^0 == 0 /\ oldX1^post3-x1^0 == 0), cost: 1 4: l3 -> l2 : oldX2^0'=oldX2^post4, __const_9^0'=__const_9^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_11^0'=__const_11^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (oldX2^0-oldX2^post4 == 0 /\ -oldX0^post4+x0^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ oldX1^post4-__const_11^0 <= 0 /\ __const_11^0-__const_11^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ __const_9^0-__const_9^post4 == 0 /\ oldX3^0-oldX3^post4 == 0), cost: 1 7: l6 -> l1 : oldX2^0'=oldX2^post7, __const_9^0'=__const_9^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_11^0'=__const_11^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ __const_11^0-__const_11^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ x1^post7-oldX2^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0 /\ __const_9^0-__const_9^post7 == 0), cost: 1 8: l7 -> l6 : oldX2^0'=oldX2^post8, __const_9^0'=__const_9^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_11^0'=__const_11^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ -__const_11^post8+__const_11^0 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ x1^post8-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ __const_9^0-__const_9^post8 == 0 /\ oldX1^post8-x1^0 == 0), cost: 1 10: l7 -> l0 : oldX2^0'=oldX2^post10, __const_9^0'=__const_9^post10, x0^0'=x0^post10, oldX1^0'=oldX1^post10, __const_11^0'=__const_11^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, (x0^0-x0^post10 == 0 /\ oldX2^0-oldX2^post10 == 0 /\ -oldX0^post10+oldX0^0 == 0 /\ -x1^post10+x1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ -__const_11^post10+__const_11^0 == 0 /\ __const_9^0-__const_9^post10 == 0), cost: 1 11: l7 -> l2 : oldX2^0'=oldX2^post11, __const_9^0'=__const_9^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_11^0'=__const_11^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (oldX2^0-oldX2^post11 == 0 /\ __const_11^0-__const_11^post11 == 0 /\ -x0^post11+x0^0 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ __const_9^0-__const_9^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ -x1^post11+x1^0 == 0 /\ -oldX3^post11+oldX3^0 == 0), cost: 1 13: l7 -> l3 : oldX2^0'=oldX2^post13, __const_9^0'=__const_9^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_11^0'=__const_11^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (-oldX3^post13+oldX3^0 == 0 /\ __const_11^0-__const_11^post13 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -__const_9^post13+__const_9^0 == 0 /\ -x1^post13+x1^0 == 0), cost: 1 14: l7 -> l1 : oldX2^0'=oldX2^post14, __const_9^0'=__const_9^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_11^0'=__const_11^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_9^0-__const_9^post14 == 0 /\ -x0^post14+x0^0 == 0 /\ -x1^post14+x1^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ -__const_11^post14+__const_11^0 == 0), cost: 1 15: l7 -> l6 : oldX2^0'=oldX2^post15, __const_9^0'=__const_9^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_11^0'=__const_11^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (-__const_9^post15+__const_9^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x1^post15+x1^0 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ __const_11^0-__const_11^post15 == 0 /\ oldX3^0-oldX3^post15 == 0), cost: 1 16: l8 -> l7 : oldX2^0'=oldX2^post16, __const_9^0'=__const_9^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_11^0'=__const_11^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (__const_9^0-__const_9^post16 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -__const_11^post16+__const_11^0 == 0 /\ -oldX0^post16+oldX0^0 == 0 /\ oldX2^0-oldX2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -x0^post16+x0^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : oldX2^0'=oldX2^post0, __const_9^0'=__const_9^post0, x0^0'=x0^post0, oldX1^0'=oldX1^post0, __const_11^0'=__const_11^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, (0 == 0 /\ oldX1^post0-x1^0 == 0 /\ x1^post0-oldX2^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -__const_9^post0+__const_9^0 == 0 /\ oldX3^0-oldX3^post0 == 0 /\ -1-oldX0^post0+x0^post0 == 0 /\ __const_11^0-__const_11^post0 == 0), cost: 1 New rule: l0 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l2 -> l3 : oldX2^0'=oldX2^post1, __const_9^0'=__const_9^post1, x0^0'=x0^post1, oldX1^0'=oldX1^post1, __const_11^0'=__const_11^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, (oldX1^post1-x1^0 == 0 /\ __const_9^0-__const_9^post1 == 0 /\ oldX2^0-oldX2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -1-oldX1^post1+x1^post1 == 0 /\ -oldX3^post1+oldX3^0 == 0 /\ -__const_11^post1+__const_11^0 == 0), cost: 1 New rule: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l0 : oldX2^0'=oldX2^post3, __const_9^0'=__const_9^post3, x0^0'=x0^post3, oldX1^0'=oldX1^post3, __const_11^0'=__const_11^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, (__const_9^0-__const_9^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ oldX2^0-oldX2^post3 == 0 /\ oldX0^post3-x0^0 == 0 /\ 1+__const_11^0-oldX1^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ -__const_11^post3+__const_11^0 == 0 /\ oldX1^post3-x1^0 == 0), cost: 1 New rule: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, 1+__const_11^0-x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l2 : oldX2^0'=oldX2^post4, __const_9^0'=__const_9^post4, x0^0'=x0^post4, oldX1^0'=oldX1^post4, __const_11^0'=__const_11^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, (oldX2^0-oldX2^post4 == 0 /\ -oldX0^post4+x0^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ oldX1^post4-__const_11^0 <= 0 /\ __const_11^0-__const_11^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ __const_9^0-__const_9^post4 == 0 /\ oldX3^0-oldX3^post4 == 0), cost: 1 New rule: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l3 : oldX2^0'=oldX2^post6, __const_9^0'=__const_9^post6, x0^0'=x0^post6, oldX1^0'=oldX1^post6, __const_11^0'=__const_11^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ -3+x1^post6 == 0 /\ oldX2^0-oldX2^post6 == 0 /\ -__const_9^0+oldX0^post6 <= 0 /\ -__const_9^post6+__const_9^0 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ __const_11^0-__const_11^post6 == 0), cost: 1 New rule: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l1 : oldX2^0'=oldX2^post7, __const_9^0'=__const_9^post7, x0^0'=x0^post7, oldX1^0'=oldX1^post7, __const_11^0'=__const_11^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, (0 == 0 /\ x0^post7 == 0 /\ __const_11^0-__const_11^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ x1^post7-oldX2^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ -oldX3^post7+oldX3^0 == 0 /\ __const_9^0-__const_9^post7 == 0), cost: 1 New rule: l6 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l6 : oldX2^0'=oldX2^post8, __const_9^0'=__const_9^post8, x0^0'=x0^post8, oldX1^0'=oldX1^post8, __const_11^0'=__const_11^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, (0 == 0 /\ -__const_11^post8+__const_11^0 == 0 /\ -oldX2^post8+x0^post8 == 0 /\ x1^post8-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ __const_9^0-__const_9^post8 == 0 /\ oldX1^post8-x1^0 == 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 -> l0 : oldX2^0'=oldX2^post10, __const_9^0'=__const_9^post10, x0^0'=x0^post10, oldX1^0'=oldX1^post10, __const_11^0'=__const_11^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, (x0^0-x0^post10 == 0 /\ oldX2^0-oldX2^post10 == 0 /\ -oldX0^post10+oldX0^0 == 0 /\ -x1^post10+x1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ -__const_11^post10+__const_11^0 == 0 /\ __const_9^0-__const_9^post10 == 0), cost: 1 New rule: l7 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l2 : oldX2^0'=oldX2^post11, __const_9^0'=__const_9^post11, x0^0'=x0^post11, oldX1^0'=oldX1^post11, __const_11^0'=__const_11^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, (oldX2^0-oldX2^post11 == 0 /\ __const_11^0-__const_11^post11 == 0 /\ -x0^post11+x0^0 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ __const_9^0-__const_9^post11 == 0 /\ -oldX0^post11+oldX0^0 == 0 /\ -x1^post11+x1^0 == 0 /\ -oldX3^post11+oldX3^0 == 0), cost: 1 New rule: l7 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l3 : oldX2^0'=oldX2^post13, __const_9^0'=__const_9^post13, x0^0'=x0^post13, oldX1^0'=oldX1^post13, __const_11^0'=__const_11^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, (-oldX3^post13+oldX3^0 == 0 /\ __const_11^0-__const_11^post13 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ -oldX1^post13+oldX1^0 == 0 /\ x0^0-x0^post13 == 0 /\ -__const_9^post13+__const_9^0 == 0 /\ -x1^post13+x1^0 == 0), cost: 1 New rule: l7 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l1 : oldX2^0'=oldX2^post14, __const_9^0'=__const_9^post14, x0^0'=x0^post14, oldX1^0'=oldX1^post14, __const_11^0'=__const_11^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, (__const_9^0-__const_9^post14 == 0 /\ -x0^post14+x0^0 == 0 /\ -x1^post14+x1^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ -__const_11^post14+__const_11^0 == 0), cost: 1 New rule: l7 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l6 : oldX2^0'=oldX2^post15, __const_9^0'=__const_9^post15, x0^0'=x0^post15, oldX1^0'=oldX1^post15, __const_11^0'=__const_11^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, (-__const_9^post15+__const_9^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x1^post15+x1^0 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ __const_11^0-__const_11^post15 == 0 /\ oldX3^0-oldX3^post15 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : oldX2^0'=oldX2^post16, __const_9^0'=__const_9^post16, x0^0'=x0^post16, oldX1^0'=oldX1^post16, __const_11^0'=__const_11^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, (__const_9^0-__const_9^post16 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -__const_11^post16+__const_11^0 == 0 /\ -oldX0^post16+oldX0^0 == 0 /\ oldX2^0-oldX2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -x0^post16+x0^0 == 0), cost: 1 New rule: l8 -> l7 : TRUE, cost: 1 Simplified rules Start location: l8 17: l0 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 0 == 0, cost: 1 21: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 1 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 19: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, 1+__const_11^0-x1^0 <= 0, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 22: l6 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^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 -> l0 : TRUE, cost: 1 25: l7 -> l2 : TRUE, cost: 1 26: l7 -> l3 : TRUE, cost: 1 27: l7 -> l1 : 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 -> l0 : TRUE, cost: 1 New rule: l8 -> l0 : TRUE, 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 -> l1 : TRUE, cost: 1 New rule: l8 -> l1 : 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: l0 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 0 == 0, cost: 1 21: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 1 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 19: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, 1+__const_11^0-x1^0 <= 0, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 22: l6 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^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 -> l0 : TRUE, cost: 2 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 34: l8 -> l1 : 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 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 1 New rule: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=oldX2^post7, 0 == 0, cost: 3 Applied chaining First rule: l8 -> l6 : TRUE, cost: 2 Second rule: l6 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 1 New rule: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 3 Applied deletion Removed the following rules: 22 30 35 Eliminated locations on tree-shaped paths Start location: l8 17: l0 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 0 == 0, cost: 1 21: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 1 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 19: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, 1+__const_11^0-x1^0 <= 0, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 31: l8 -> l0 : TRUE, cost: 2 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 34: l8 -> l1 : TRUE, cost: 2 36: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=oldX2^post7, 0 == 0, cost: 3 37: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 3 Eliminated location l0 Start location: l8 21: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 1 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 38: l3 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 1+__const_11^0-x1^0 <= 0, cost: 2 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 34: l8 -> l1 : TRUE, cost: 2 36: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX3^post8, oldX3^0'=oldX3^post8, oldX0^0'=x0^post8, x1^0'=oldX2^post7, 0 == 0, cost: 3 37: l8 -> l1 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post7, 0 == 0, cost: 3 39: l8 -> l1 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=oldX2^post0, 0 == 0, cost: 3 Eliminated location l1 Start location: l8 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 43: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, (1+__const_11^0-x1^0 <= 0 /\ 1-__const_9^0+x0^0 <= 0), cost: 3 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 41: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX3^0'=oldX3^post8, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 44: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, 1-__const_9^0+x0^0 <= 0, cost: 4 Applied acceleration Original rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, (1+__const_11^0-x1^0 <= 0 /\ 1-__const_9^0+x0^0 <= 0), cost: 3 New rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=n+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=n+x0^0, x1^0'=3, (__const_9^0-n-x0^0 >= 0 /\ -1+n >= 0 /\ 2-__const_11^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_KKcodG.txt Applied instantiation Original rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=n+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=n+x0^0, x1^0'=3, (__const_9^0-n-x0^0 >= 0 /\ -1+n >= 0 /\ 2-__const_11^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*n New rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (0 >= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ 2-__const_11^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 Applied simplification Original rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (0 >= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ 2-__const_11^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 Applied deletion Removed the following rules: 43 Accelerated simple loops Start location: l8 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 46: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 41: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX3^0'=oldX3^post8, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 44: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, 1-__const_9^0+x0^0 <= 0, cost: 4 Applied chaining First rule: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l2 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 1+3*__const_9^0-3*x0^0 Applied chaining First rule: l8 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 Applied chaining First rule: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX3^0'=oldX3^post8, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX3^0'=oldX3^post8, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 Applied chaining First rule: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 Applied chaining First rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, 1-__const_9^0+x0^0 <= 0, cost: 4 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -2+__const_9^0-x0^0 >= 0), cost: 1+3*__const_9^0-3*x0^0 Applied deletion Removed the following rules: 46 Chained accelerated rules with incoming rules Start location: l8 18: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 1 47: l2 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 1+3*__const_9^0-3*x0^0 20: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -__const_11^0+x1^0 <= 0, cost: 1 32: l8 -> l2 : TRUE, cost: 2 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 41: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX3^0'=oldX3^post8, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 44: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, 1-__const_9^0+x0^0 <= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 50: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX3^0'=oldX3^post8, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 51: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 52: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -2+__const_9^0-x0^0 >= 0), cost: 1+3*__const_9^0-3*x0^0 Eliminated location l2 Start location: l8 53: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, -__const_11^0+x1^0 <= 0, cost: 2 54: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 <= 0 /\ -__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 41: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX3^0'=oldX3^post8, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 44: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=1+x0^0, oldX1^0'=oldX2^post0, oldX0^0'=1+x0^0, x1^0'=3, 1-__const_9^0+x0^0 <= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 50: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX3^0'=oldX3^post8, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 51: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0 >= 0), cost: 4+3*__const_9^0 52: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -2+__const_9^0-x0^0 >= 0), cost: 1+3*__const_9^0-3*x0^0 55: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, TRUE, cost: 3 56: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 Applied pruning (of leafs and parallel rules): Start location: l8 53: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, -__const_11^0+x1^0 <= 0, cost: 2 54: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 <= 0 /\ -__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 Applied simplification Original rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 <= 0 /\ -__const_11^0+x1^0 >= 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 New rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 Simplified simple loops Start location: l8 53: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, -__const_11^0+x1^0 <= 0, cost: 2 57: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 Applied acceleration Original rule: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=1+x1^0, -__const_11^0+x1^0 <= 0, cost: 2 New rule: l3 -> l3 : oldX1^0'=-1+n0+x1^0, oldX0^0'=x0^0, x1^0'=n0+x1^0, (-1+n0 >= 0 /\ 1+__const_11^0-n0-x1^0 >= 0), cost: 2*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_khFIcG.txt Applied instantiation Original rule: l3 -> l3 : oldX1^0'=-1+n0+x1^0, oldX0^0'=x0^0, x1^0'=n0+x1^0, (-1+n0 >= 0 /\ 1+__const_11^0-n0-x1^0 >= 0), cost: 2*n0 New rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, (0 >= 0 /\ __const_11^0-x1^0 >= 0), cost: 2+2*__const_11^0-2*x1^0 Applied simplification Original rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, (0 >= 0 /\ __const_11^0-x1^0 >= 0), cost: 2+2*__const_11^0-2*x1^0 New rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 2+2*__const_11^0-2*x1^0 Applied deletion Removed the following rules: 53 Accelerated simple loops Start location: l8 57: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 59: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 2+2*__const_11^0-2*x1^0 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 Applied chaining First rule: l8 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 4+3*__const_9^0-3*x0^0 Applied chaining First rule: l8 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 2+2*__const_11^0-2*x1^0 New rule: l8 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 4+2*__const_11^0-2*x1^0 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 Second rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 2+2*__const_11^0-2*x1^0 New rule: l8 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, (-3+__const_11^0 >= 0 /\ -__const_9^0+x0^0 <= 0), cost: -1+2*__const_11^0 Applied chaining First rule: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 Second rule: l3 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 2+2*__const_11^0-2*x1^0 New rule: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=__const_11^0, oldX0^0'=0, x1^0'=1+__const_11^0, (__const_9^0 >= 0 /\ -3+__const_11^0 >= 0), cost: 2*__const_11^0 Applied deletion Removed the following rules: 57 59 Chained accelerated rules with incoming rules Start location: l8 33: l8 -> l3 : TRUE, cost: 2 40: l8 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=3, -__const_9^0+x0^0 <= 0, cost: 3 42: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=oldX2^post7, oldX0^0'=0, x1^0'=3, __const_9^0 >= 0, cost: 4 48: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0 /\ -1-__const_11^0+x1^0 >= 0), cost: 2+3*__const_9^0-3*x0^0 49: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 3+3*__const_9^0-3*x0^0 60: l8 -> l3 : oldX2^0'=oldX2^post0, x0^0'=__const_9^0, oldX1^0'=oldX2^post0, oldX0^0'=__const_9^0, x1^0'=3, (-__const_11^0+x1^0 == 0 /\ -2+__const_11^0 <= 0 /\ -1+__const_9^0-x0^0 >= 0), cost: 4+3*__const_9^0-3*x0^0 61: l8 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, __const_11^0-x1^0 >= 0, cost: 4+2*__const_11^0-2*x1^0 62: l8 -> l3 : oldX1^0'=__const_11^0, oldX0^0'=x0^0, x1^0'=1+__const_11^0, (-3+__const_11^0 >= 0 /\ -__const_9^0+x0^0 <= 0), cost: -1+2*__const_11^0 63: l8 -> l3 : oldX2^0'=oldX2^post7, x0^0'=0, oldX1^0'=__const_11^0, oldX0^0'=0, x1^0'=1+__const_11^0, (__const_9^0 >= 0 /\ -3+__const_11^0 >= 0), cost: 2*__const_11^0 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