WORST_CASE(Omega(0),?) Initial ITS Start location: l10 0: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x2^0'=x2^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, (-oldX1^post0+x1^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX1^post0-x1^0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -1-oldX2^post0+x2^post0 == 0 /\ oldX4^0-oldX4^post0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX3^0-oldX3^post0 == 0), cost: 1 6: l1 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x0^0'=x0^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x2^0'=x2^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ oldX0^post6-oldX1^post6-oldX2^post6 <= 0 /\ x1^post6-oldX1^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ x2^post6-oldX2^post6 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX5^0-oldX5^post6 == 0), cost: 1 7: l1 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x2^0'=x2^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, (oldX1^post7-x1^0 == 0 /\ oldX0^post7-x0^0 == 0 /\ 1-oldX0^post7+oldX1^post7+oldX2^post7 <= 0 /\ -oldX0^post7+x0^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ -oldX4^post7+oldX4^0 == 0 /\ -x2^0+oldX2^post7 == 0), cost: 1 1: l2 -> l0 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x0^0'=x0^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x2^0'=x2^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x1^0'=x1^post1, (-x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX5^post1+oldX5^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ oldX4^0-oldX4^post1 == 0 /\ -oldX2^post1+x2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ oldX3^0-oldX3^post1 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x2^0'=x2^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, (0 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -1+x1^post2-oldX1^post2 == 0 /\ oldX0^post2-x0^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ oldX1^post2-x1^0 == 0 /\ x2^post2-oldX3^post2 == 0 /\ oldX5^0-oldX5^post2 == 0), cost: 1 8: l4 -> l6 : oldX4^0'=oldX4^post8, oldX1^0'=oldX1^post8, x0^0'=x0^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x2^0'=x2^post8, oldX5^0'=oldX5^post8, oldX2^0'=oldX2^post8, x1^0'=x1^post8, (0 == 0 /\ x2^post8-oldX3^post8 == 0 /\ -oldX1^post8+oldX0^post8 <= 0 /\ oldX5^0-oldX5^post8 == 0 /\ oldX4^0-oldX4^post8 == 0 /\ oldX1^post8-x1^0 == 0 /\ x1^post8-oldX1^post8 == 0 /\ x0^post8-oldX0^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ oldX2^post8-x2^0 == 0), cost: 1 9: l4 -> l1 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x0^0'=x0^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x2^0'=x2^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x1^0'=x1^post9, (oldX1^post9-x1^0 == 0 /\ -oldX5^post9+oldX5^0 == 0 /\ -oldX0^post9+x0^post9 == 0 /\ 1+oldX1^post9-oldX0^post9 <= 0 /\ x1^post9-oldX1^post9 == 0 /\ -oldX3^post9+oldX3^0 == 0 /\ oldX2^post9-x2^0 == 0 /\ -x0^0+oldX0^post9 == 0 /\ x2^post9 == 0 /\ oldX4^0-oldX4^post9 == 0), cost: 1 3: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x2^0'=x2^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, (0 == 0 /\ -oldX5^post3+oldX5^0 == 0 /\ oldX3^post3-oldX4^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ x2^post3-oldX2^post3 == 0 /\ oldX2^post3-x2^0 == 0), cost: 1 4: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=oldX1^post4, x0^0'=x0^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x2^0'=x2^post4, oldX5^0'=oldX5^post4, oldX2^0'=oldX2^post4, x1^0'=x1^post4, (0 == 0 /\ 1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX5^post4+oldX5^0 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX2^post4-x2^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 5: l6 -> l7 : oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x0^0'=x0^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x2^0'=x2^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x1^0'=x1^post5, (0 == 0 /\ -x0^0+oldX0^post5 == 0 /\ -oldX4^post5+x1^post5 == 0 /\ oldX2^post5-x2^0 == 0 /\ -oldX3^post5+x0^post5 == 0 /\ oldX1^post5-x1^0 == 0 /\ -oldX5^post5+x2^post5 == 0), cost: 1 10: l8 -> l4 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x2^0'=x2^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, (0 == 0 /\ oldX0^post10-x0^0 == 0 /\ oldX1^post10-x1^0 == 0 /\ -x2^0+oldX2^post10 == 0 /\ x2^post10-oldX3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -1+x1^post10 == 0 /\ oldX4^0-oldX4^post10 == 0), cost: 1 11: l9 -> l8 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x0^0'=x0^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x2^0'=x2^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x1^0'=x1^post11, (0 == 0 /\ -x2^0+oldX2^post11 == 0 /\ -oldX4^post11+x2^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -oldX0^post11+x0^post11 == 0 /\ oldX1^post11-x1^0 == 0 /\ oldX5^0-oldX5^post11 == 0 /\ x1^post11-oldX3^post11 == 0), cost: 1 12: l9 -> l0 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x2^0'=x2^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, (-x1^post12+x1^0 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ oldX0^0-oldX0^post12 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ oldX4^0-oldX4^post12 == 0 /\ -x2^post12+x2^0 == 0 /\ -x0^post12+x0^0 == 0), cost: 1 13: l9 -> l2 : oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x2^0'=x2^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, (-oldX2^post13+oldX2^0 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX5^post13+oldX5^0 == 0 /\ x2^0-x2^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ oldX4^0-oldX4^post13 == 0 /\ x0^0-x0^post13 == 0 /\ -x1^post13+x1^0 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 14: l9 -> l3 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x2^0'=x2^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, (-oldX5^post14+oldX5^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -x1^post14+x1^0 == 0 /\ -x2^post14+x2^0 == 0), cost: 1 15: l9 -> l5 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x2^0'=x2^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, (oldX4^0-oldX4^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -x1^post15+x1^0 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0), cost: 1 16: l9 -> l6 : oldX4^0'=oldX4^post16, oldX1^0'=oldX1^post16, x0^0'=x0^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x2^0'=x2^post16, oldX5^0'=oldX5^post16, oldX2^0'=oldX2^post16, x1^0'=x1^post16, (oldX1^0-oldX1^post16 == 0 /\ -x2^post16+x2^0 == 0 /\ -x0^post16+x0^0 == 0 /\ oldX5^0-oldX5^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ -oldX0^post16+oldX0^0 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ oldX3^0-oldX3^post16 == 0), cost: 1 17: l9 -> l1 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x2^0'=x2^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, (-x0^post17+x0^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ x2^0-x2^post17 == 0 /\ -x1^post17+x1^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX4^0-oldX4^post17 == 0), cost: 1 18: l9 -> l4 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x0^0'=x0^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x2^0'=x2^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x1^0'=x1^post18, (oldX1^0-oldX1^post18 == 0 /\ -x1^post18+x1^0 == 0 /\ -oldX5^post18+oldX5^0 == 0 /\ oldX4^0-oldX4^post18 == 0 /\ oldX0^0-oldX0^post18 == 0 /\ x2^0-x2^post18 == 0 /\ oldX3^0-oldX3^post18 == 0 /\ x0^0-x0^post18 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 19: l9 -> l8 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x2^0'=x2^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, (-oldX0^post19+oldX0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ x0^0-x0^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ -x2^post19+x2^0 == 0), cost: 1 20: l9 -> l7 : oldX4^0'=oldX4^post20, oldX1^0'=oldX1^post20, x0^0'=x0^post20, oldX3^0'=oldX3^post20, oldX0^0'=oldX0^post20, x2^0'=x2^post20, oldX5^0'=oldX5^post20, oldX2^0'=oldX2^post20, x1^0'=x1^post20, (oldX3^0-oldX3^post20 == 0 /\ -oldX0^post20+oldX0^0 == 0 /\ oldX1^0-oldX1^post20 == 0 /\ -x0^post20+x0^0 == 0 /\ -x1^post20+x1^0 == 0 /\ -oldX2^post20+oldX2^0 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ -x2^post20+x2^0 == 0 /\ oldX5^0-oldX5^post20 == 0), cost: 1 21: l10 -> l9 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x0^0'=x0^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x2^0'=x2^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x1^0'=x1^post21, (x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x0^post21+x0^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX5^post21+oldX5^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l10 0: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x2^0'=x2^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, (-oldX1^post0+x1^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX1^post0-x1^0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -1-oldX2^post0+x2^post0 == 0 /\ oldX4^0-oldX4^post0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX3^0-oldX3^post0 == 0), cost: 1 6: l1 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x0^0'=x0^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x2^0'=x2^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ oldX0^post6-oldX1^post6-oldX2^post6 <= 0 /\ x1^post6-oldX1^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ x2^post6-oldX2^post6 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX5^0-oldX5^post6 == 0), cost: 1 7: l1 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x2^0'=x2^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, (oldX1^post7-x1^0 == 0 /\ oldX0^post7-x0^0 == 0 /\ 1-oldX0^post7+oldX1^post7+oldX2^post7 <= 0 /\ -oldX0^post7+x0^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ -oldX4^post7+oldX4^0 == 0 /\ -x2^0+oldX2^post7 == 0), cost: 1 1: l2 -> l0 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x0^0'=x0^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x2^0'=x2^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x1^0'=x1^post1, (-x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX5^post1+oldX5^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ oldX4^0-oldX4^post1 == 0 /\ -oldX2^post1+x2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ oldX3^0-oldX3^post1 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x2^0'=x2^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, (0 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -1+x1^post2-oldX1^post2 == 0 /\ oldX0^post2-x0^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ oldX1^post2-x1^0 == 0 /\ x2^post2-oldX3^post2 == 0 /\ oldX5^0-oldX5^post2 == 0), cost: 1 9: l4 -> l1 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x0^0'=x0^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x2^0'=x2^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x1^0'=x1^post9, (oldX1^post9-x1^0 == 0 /\ -oldX5^post9+oldX5^0 == 0 /\ -oldX0^post9+x0^post9 == 0 /\ 1+oldX1^post9-oldX0^post9 <= 0 /\ x1^post9-oldX1^post9 == 0 /\ -oldX3^post9+oldX3^0 == 0 /\ oldX2^post9-x2^0 == 0 /\ -x0^0+oldX0^post9 == 0 /\ x2^post9 == 0 /\ oldX4^0-oldX4^post9 == 0), cost: 1 3: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x2^0'=x2^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, (0 == 0 /\ -oldX5^post3+oldX5^0 == 0 /\ oldX3^post3-oldX4^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ x2^post3-oldX2^post3 == 0 /\ oldX2^post3-x2^0 == 0), cost: 1 4: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=oldX1^post4, x0^0'=x0^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x2^0'=x2^post4, oldX5^0'=oldX5^post4, oldX2^0'=oldX2^post4, x1^0'=x1^post4, (0 == 0 /\ 1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX5^post4+oldX5^0 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX2^post4-x2^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 10: l8 -> l4 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x2^0'=x2^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, (0 == 0 /\ oldX0^post10-x0^0 == 0 /\ oldX1^post10-x1^0 == 0 /\ -x2^0+oldX2^post10 == 0 /\ x2^post10-oldX3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -1+x1^post10 == 0 /\ oldX4^0-oldX4^post10 == 0), cost: 1 11: l9 -> l8 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x0^0'=x0^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x2^0'=x2^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x1^0'=x1^post11, (0 == 0 /\ -x2^0+oldX2^post11 == 0 /\ -oldX4^post11+x2^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -oldX0^post11+x0^post11 == 0 /\ oldX1^post11-x1^0 == 0 /\ oldX5^0-oldX5^post11 == 0 /\ x1^post11-oldX3^post11 == 0), cost: 1 12: l9 -> l0 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x2^0'=x2^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, (-x1^post12+x1^0 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ oldX0^0-oldX0^post12 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ oldX4^0-oldX4^post12 == 0 /\ -x2^post12+x2^0 == 0 /\ -x0^post12+x0^0 == 0), cost: 1 13: l9 -> l2 : oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x2^0'=x2^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, (-oldX2^post13+oldX2^0 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX5^post13+oldX5^0 == 0 /\ x2^0-x2^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ oldX4^0-oldX4^post13 == 0 /\ x0^0-x0^post13 == 0 /\ -x1^post13+x1^0 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 14: l9 -> l3 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x2^0'=x2^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, (-oldX5^post14+oldX5^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -x1^post14+x1^0 == 0 /\ -x2^post14+x2^0 == 0), cost: 1 15: l9 -> l5 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x2^0'=x2^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, (oldX4^0-oldX4^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -x1^post15+x1^0 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0), cost: 1 17: l9 -> l1 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x2^0'=x2^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, (-x0^post17+x0^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ x2^0-x2^post17 == 0 /\ -x1^post17+x1^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX4^0-oldX4^post17 == 0), cost: 1 18: l9 -> l4 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x0^0'=x0^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x2^0'=x2^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x1^0'=x1^post18, (oldX1^0-oldX1^post18 == 0 /\ -x1^post18+x1^0 == 0 /\ -oldX5^post18+oldX5^0 == 0 /\ oldX4^0-oldX4^post18 == 0 /\ oldX0^0-oldX0^post18 == 0 /\ x2^0-x2^post18 == 0 /\ oldX3^0-oldX3^post18 == 0 /\ x0^0-x0^post18 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 19: l9 -> l8 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x2^0'=x2^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, (-oldX0^post19+oldX0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ x0^0-x0^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ -x2^post19+x2^0 == 0), cost: 1 21: l10 -> l9 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x0^0'=x0^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x2^0'=x2^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x1^0'=x1^post21, (x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x0^post21+x0^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX5^post21+oldX5^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x2^0'=x2^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, (-oldX1^post0+x1^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX1^post0-x1^0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -1-oldX2^post0+x2^post0 == 0 /\ oldX4^0-oldX4^post0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX3^0-oldX3^post0 == 0), cost: 1 New rule: l0 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l0 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x0^0'=x0^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x2^0'=x2^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x1^0'=x1^post1, (-x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX5^post1+oldX5^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ oldX4^0-oldX4^post1 == 0 /\ -oldX2^post1+x2^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ oldX3^0-oldX3^post1 == 0), cost: 1 New rule: l2 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x2^0'=x2^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, (0 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -1+x1^post2-oldX1^post2 == 0 /\ oldX0^post2-x0^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ oldX1^post2-x1^0 == 0 /\ x2^post2-oldX3^post2 == 0 /\ oldX5^0-oldX5^post2 == 0), cost: 1 New rule: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x2^0'=x2^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, (0 == 0 /\ -oldX5^post3+oldX5^0 == 0 /\ oldX3^post3-oldX4^post3 <= 0 /\ x1^post3-oldX1^post3 == 0 /\ oldX1^post3-x1^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ x2^post3-oldX2^post3 == 0 /\ oldX2^post3-x2^0 == 0), cost: 1 New rule: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, oldX2^0'=x2^0, oldX3^post3-oldX4^post3 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=oldX1^post4, x0^0'=x0^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x2^0'=x2^post4, oldX5^0'=oldX5^post4, oldX2^0'=oldX2^post4, x1^0'=x1^post4, (0 == 0 /\ 1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX5^post4+oldX5^0 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX2^post4-x2^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ x1^post4-oldX1^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 New rule: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x0^0'=x0^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x2^0'=x2^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x1^0'=x1^post6, (oldX1^post6-x1^0 == 0 /\ oldX0^post6-oldX1^post6-oldX2^post6 <= 0 /\ x1^post6-oldX1^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX3^0-oldX3^post6 == 0 /\ x2^post6-oldX2^post6 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX5^0-oldX5^post6 == 0), cost: 1 New rule: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x2^0'=x2^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, (oldX1^post7-x1^0 == 0 /\ oldX0^post7-x0^0 == 0 /\ 1-oldX0^post7+oldX1^post7+oldX2^post7 <= 0 /\ -oldX0^post7+x0^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ -oldX4^post7+oldX4^0 == 0 /\ -x2^0+oldX2^post7 == 0), cost: 1 New rule: l1 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l4 -> l1 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x0^0'=x0^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x2^0'=x2^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x1^0'=x1^post9, (oldX1^post9-x1^0 == 0 /\ -oldX5^post9+oldX5^0 == 0 /\ -oldX0^post9+x0^post9 == 0 /\ 1+oldX1^post9-oldX0^post9 <= 0 /\ x1^post9-oldX1^post9 == 0 /\ -oldX3^post9+oldX3^0 == 0 /\ oldX2^post9-x2^0 == 0 /\ -x0^0+oldX0^post9 == 0 /\ x2^post9 == 0 /\ oldX4^0-oldX4^post9 == 0), cost: 1 New rule: l4 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=x2^0, 1-x0^0+x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l8 -> l4 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x2^0'=x2^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, (0 == 0 /\ oldX0^post10-x0^0 == 0 /\ oldX1^post10-x1^0 == 0 /\ -x2^0+oldX2^post10 == 0 /\ x2^post10-oldX3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -1+x1^post10 == 0 /\ oldX4^0-oldX4^post10 == 0), cost: 1 New rule: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x0^0'=x0^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x2^0'=x2^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x1^0'=x1^post11, (0 == 0 /\ -x2^0+oldX2^post11 == 0 /\ -oldX4^post11+x2^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -oldX0^post11+x0^post11 == 0 /\ oldX1^post11-x1^0 == 0 /\ oldX5^0-oldX5^post11 == 0 /\ x1^post11-oldX3^post11 == 0), cost: 1 New rule: l9 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l0 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x2^0'=x2^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, (-x1^post12+x1^0 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ oldX0^0-oldX0^post12 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ oldX4^0-oldX4^post12 == 0 /\ -x2^post12+x2^0 == 0 /\ -x0^post12+x0^0 == 0), cost: 1 New rule: l9 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l2 : oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x2^0'=x2^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, (-oldX2^post13+oldX2^0 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX5^post13+oldX5^0 == 0 /\ x2^0-x2^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ oldX4^0-oldX4^post13 == 0 /\ x0^0-x0^post13 == 0 /\ -x1^post13+x1^0 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 New rule: l9 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l3 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x2^0'=x2^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, (-oldX5^post14+oldX5^0 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -x1^post14+x1^0 == 0 /\ -x2^post14+x2^0 == 0), cost: 1 New rule: l9 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l5 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x2^0'=x2^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, (oldX4^0-oldX4^post15 == 0 /\ x0^0-x0^post15 == 0 /\ oldX2^0-oldX2^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -x1^post15+x1^0 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0), cost: 1 New rule: l9 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l1 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x2^0'=x2^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, (-x0^post17+x0^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ x2^0-x2^post17 == 0 /\ -x1^post17+x1^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX4^0-oldX4^post17 == 0), cost: 1 New rule: l9 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l4 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x0^0'=x0^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x2^0'=x2^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x1^0'=x1^post18, (oldX1^0-oldX1^post18 == 0 /\ -x1^post18+x1^0 == 0 /\ -oldX5^post18+oldX5^0 == 0 /\ oldX4^0-oldX4^post18 == 0 /\ oldX0^0-oldX0^post18 == 0 /\ x2^0-x2^post18 == 0 /\ oldX3^0-oldX3^post18 == 0 /\ x0^0-x0^post18 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 New rule: l9 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l8 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x2^0'=x2^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, (-oldX0^post19+oldX0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ x0^0-x0^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ -x2^post19+x2^0 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x0^0'=x0^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x2^0'=x2^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x1^0'=x1^post21, (x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x0^post21+x0^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX5^post21+oldX5^0 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Simplified rules Start location: l10 22: l0 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 1 27: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 1 28: l1 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 1 23: l2 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 29: l4 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=x2^0, 1-x0^0+x1^0 <= 0, cost: 1 25: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, oldX2^0'=x2^0, oldX3^post3-oldX4^post3 <= 0, cost: 1 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 30: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 1 31: l9 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 1 32: l9 -> l0 : TRUE, cost: 1 33: l9 -> l2 : TRUE, cost: 1 34: l9 -> l3 : TRUE, cost: 1 35: l9 -> l5 : TRUE, cost: 1 36: l9 -> l1 : TRUE, cost: 1 37: l9 -> l4 : TRUE, cost: 1 38: l9 -> l8 : TRUE, cost: 1 39: l10 -> l9 : TRUE, cost: 1 Eliminating location l9 by chaining: Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 1 New rule: l10 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l0 : TRUE, cost: 1 New rule: l10 -> l0 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l2 : TRUE, cost: 1 New rule: l10 -> l2 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l3 : TRUE, cost: 1 New rule: l10 -> l3 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l5 : TRUE, cost: 1 New rule: l10 -> l5 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l1 : TRUE, cost: 1 New rule: l10 -> l1 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l4 : TRUE, cost: 1 New rule: l10 -> l4 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l8 : TRUE, cost: 1 New rule: l10 -> l8 : TRUE, cost: 2 Applied deletion Removed the following rules: 31 32 33 34 35 36 37 38 39 Eliminated locations on tree-shaped paths Start location: l10 22: l0 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 1 27: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 1 28: l1 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 1 23: l2 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 29: l4 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=x2^0, 1-x0^0+x1^0 <= 0, cost: 1 25: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, oldX2^0'=x2^0, oldX3^post3-oldX4^post3 <= 0, cost: 1 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 30: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 1 40: l10 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 2 41: l10 -> l0 : TRUE, cost: 2 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 45: l10 -> l1 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 47: l10 -> l8 : TRUE, cost: 2 Eliminating location l8 by chaining: Applied chaining First rule: l10 -> l8 : oldX4^0'=x2^post11, oldX1^0'=x1^0, oldX3^0'=oldX3^post11, oldX0^0'=x0^0, x2^0'=x2^post11, oldX2^0'=x2^0, x1^0'=oldX3^post11, 0 == 0, cost: 2 Second rule: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 1 New rule: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 Applied chaining First rule: l10 -> l8 : TRUE, cost: 2 Second rule: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 1 New rule: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 Applied deletion Removed the following rules: 30 40 47 Eliminated locations on tree-shaped paths Start location: l10 22: l0 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 1 27: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 1 28: l1 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 1 23: l2 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 29: l4 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=x2^0, 1-x0^0+x1^0 <= 0, cost: 1 25: l5 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, oldX2^0'=x2^0, oldX3^post3-oldX4^post3 <= 0, cost: 1 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 41: l10 -> l0 : TRUE, cost: 2 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 45: l10 -> l1 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 Eliminated location l0 Start location: l10 27: l1 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 1 28: l1 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 1 50: l2 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 2 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 29: l4 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=x2^0, 1-x0^0+x1^0 <= 0, cost: 1 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 51: l5 -> l1 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, oldX3^post3-oldX4^post3 <= 0, cost: 2 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 45: l10 -> l1 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 52: l10 -> l1 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=x2^0, TRUE, cost: 3 Eliminated location l1 Start location: l10 56: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 3 57: l2 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 3 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 59: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ 2-x0^0+x2^0+x1^0 <= 0), cost: 3 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 60: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 4 61: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 4 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ 2-x0^0+x2^0+x1^0 <= 0), cost: 3 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=x2^0+n, oldX2^0'=x2^0+n, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+n >= 0 /\ -1+x0^0-x2^0-n-x1^0 >= 0), cost: 3*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_LmkIdg.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=x2^0+n, oldX2^0'=x2^0+n, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+n >= 0 /\ -1+x0^0-x2^0-n-x1^0 >= 0), cost: 3*n New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 Applied deletion Removed the following rules: 59 Accelerated simple loops Start location: l10 56: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 3 57: l2 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 3 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 63: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 60: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 4 61: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 4 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l2 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l2 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 4 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 Applied deletion Removed the following rules: 63 Chained accelerated rules with incoming rules Start location: l10 56: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 3 57: l2 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 3 67: l2 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -3+3*x0^0-3*x2^0-3*x1^0 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 26: l5 -> l2 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-oldX3^post4+oldX4^post4 <= 0, cost: 1 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 42: l10 -> l2 : TRUE, cost: 2 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 60: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 4 61: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 4 64: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 68: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 Eliminated location l2 Start location: l10 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 69: l5 -> l3 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 70: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ 2-x0^0+x2^0+x1^0 <= 0), cost: 4 71: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 60: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 4 61: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 4 64: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 68: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 72: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 5 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 74: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 Simplified simple loops Start location: l10 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 69: l5 -> l3 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 70: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ 2-x0^0+x2^0+x1^0 <= 0), cost: 4 75: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 72: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 5 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 74: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ 2-x0^0+x2^0+x1^0 <= 0), cost: 4 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=n0+x2^0, oldX2^0'=n0+x2^0, (-1-n0+x0^0-x2^0-x1^0 >= 0 /\ -1+n0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: 4*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_cnahMC.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=n0+x2^0, oldX2^0'=n0+x2^0, (-1-n0+x0^0-x2^0-x1^0 >= 0 /\ -1+n0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: 4*n0 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (0 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (0 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 Applied deletion Removed the following rules: 70 Accelerated simple loops Start location: l10 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 69: l5 -> l3 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 75: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 77: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 72: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 5 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 74: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 New rule: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -2+3*x0^0-3*x2^0-3*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-4+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -2+4*x0^0-4*x2^0-4*x1^0 Applied chaining First rule: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 New rule: l4 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -1+4*x0^0-4*x2^0-4*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -4+4*x0^0-4*x2^0-4*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -3+4*x0^0-4*x2^0-4*x1^0 Applied deletion Removed the following rules: 75 77 Chained accelerated rules with incoming rules Start location: l10 24: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 1 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 79: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 83: l4 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 58: l5 -> l3 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 3 69: l5 -> l3 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 43: l10 -> l3 : TRUE, cost: 2 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 54: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x0^0-x2^0-x1^0 <= 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 72: l10 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 5 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 74: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 78: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 81: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-4+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 82: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -2+4*x0^0-4*x2^0-4*x1^0 84: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -1+4*x0^0-4*x2^0-4*x1^0 85: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -3+4*x0^0-4*x2^0-4*x1^0 Eliminated location l3 Start location: l10 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 79: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 83: l4 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 88: l5 -> l4 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 89: l5 -> l4 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 5 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 66: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x2^0-x1^0 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 74: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: -1+3*x0^0-3*x2^0-3*x1^0 78: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 81: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-4+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 82: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -2+4*x0^0-4*x2^0-4*x1^0 84: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-2+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -1+4*x0^0-4*x2^0-4*x1^0 85: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: -3+4*x0^0-4*x2^0-4*x1^0 86: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 3 87: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, x0^0-x2^0-x1^0 <= 0, cost: 4 90: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 6 Applied pruning (of leafs and parallel rules): Start location: l10 53: l4 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 2 65: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 79: l4 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 83: l4 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 88: l5 -> l4 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 4 89: l5 -> l4 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0), cost: 5 44: l10 -> l5 : TRUE, cost: 2 46: l10 -> l4 : TRUE, cost: 2 48: l10 -> l4 : oldX4^0'=x2^post11, oldX1^0'=oldX3^post11, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^post11, x1^0'=1, 0 == 0, cost: 3 49: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=oldX3^post10, oldX2^0'=x2^0, x1^0'=1, 0 == 0, cost: 3 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 81: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-4+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 86: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=x2^0, x1^0'=1+x1^0, 0 == 0, cost: 3 90: l10 -> l4 : oldX1^0'=x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=oldX3^post2, oldX2^0'=1+x2^0, x1^0'=1+x1^0, -1+x0^0-x2^0-x1^0 <= 0, cost: 6 Eliminated location l4 Start location: l10 104: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 105: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 106: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -4+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 107: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 108: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 109: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 110: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -4+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 111: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+4*x0^0-4*x1^0 44: l10 -> l5 : TRUE, cost: 2 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 73: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=1+x2^0, oldX2^0'=1+x2^0, 2-x0^0+x2^0+x1^0 <= 0, cost: 5 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 81: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-4+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 3*x0^0-3*x2^0-3*x1^0 91: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, 1-x0^0+x1^0 <= 0, cost: 4 92: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 93: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 94: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-x1^0 >= 0), cost: 4*x0^0-4*x1^0 95: l10 -> l5 : oldX4^0'=x2^post11, oldX1^0'=1, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1, -2+x0^0 >= 0, cost: 5 96: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0 >= 0), cost: -1+3*x0^0 97: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 98: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0 >= 0), cost: -3+4*x0^0 99: l10 -> l5 : oldX1^0'=1, oldX3^0'=oldX3^post10, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1, -2+x0^0 >= 0, cost: 5 100: l10 -> l5 : oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, 2-x0^0+x1^0 <= 0, cost: 5 101: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+3*x0^0-3*x1^0 102: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 103: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+4*x0^0-4*x1^0 112: l10 -> l5 : oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 8 113: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 114: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -4+x0^0-x1^0 >= 0), cost: 3+3*x0^0-3*x1^0 115: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0-4*x1^0 Applied pruning (of leafs and parallel rules): Start location: l10 104: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 105: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 107: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 108: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 109: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 44: l10 -> l5 : TRUE, cost: 2 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 93: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 97: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (oldX3^post3-oldX4^post3 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (1-oldX3^post4+oldX4^post4 <= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 Simplified simple loops Start location: l10 105: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 116: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 117: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 118: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 119: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 44: l10 -> l5 : TRUE, cost: 2 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 93: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 97: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0-3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=n3+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-n3-x1^0, oldX2^0'=-1+x0^0-n3-x1^0, x1^0'=n3+x1^0, (-2+x0^0-n3-x1^0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+n3 >= 0), cost: 3*x0^0*n3-3/2*n3^2+3/2*n3-3*n3*x1^0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_mmpFhM.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=n3+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-n3-x1^0, oldX2^0'=-1+x0^0-n3-x1^0, x1^0'=n3+x1^0, (-2+x0^0-n3-x1^0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -1+n3 >= 0), cost: 3*x0^0*n3-3/2*n3^2+3/2*n3-3*n3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+4*x0^0-4*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=n5+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-n5-x1^0, oldX2^0'=-1+x0^0-n5-x1^0, x1^0'=n5+x1^0, (-1+n5 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-n5-x1^0 >= 0), cost: -4*n5*x1^0-2*n5^2+4*x0^0*n5 Sub-proof via acceration calculus written to file:///tmp/tmpnam_npdbnE.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=n5+x1^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=-1+x0^0-n5-x1^0, oldX2^0'=-1+x0^0-n5-x1^0, x1^0'=n5+x1^0, (-1+n5 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -2+x0^0-n5-x1^0 >= 0), cost: -4*n5*x1^0-2*n5^2+4*x0^0*n5 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0-x1^0, oldX2^0'=-2+x0^0-x1^0, x1^0'=1+x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -1+x0^0-x2^0-x1^0 <= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+3*x0^0-3*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=n7+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1-n7+x0^0-x1^0, oldX2^0'=-1-n7+x0^0-x1^0, x1^0'=n7+x1^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -2-n7+x0^0-x1^0 >= 0 /\ -1+n7 >= 0), cost: 3*n7*x0^0-3*n7*x1^0+5/2*n7-3/2*n7^2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_JgaEfN.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=n7+x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1-n7+x0^0-x1^0, oldX2^0'=-1-n7+x0^0-x1^0, x1^0'=n7+x1^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -2-n7+x0^0-x1^0 >= 0 /\ -1+n7 >= 0), cost: 3*n7*x0^0-3*n7*x1^0+5/2*n7-3/2*n7^2 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (0 >= 0 /\ 1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 Applied deletion Removed the following rules: 105 117 119 Accelerated simple loops Start location: l10 116: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 118: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 123: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 124: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 125: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 44: l10 -> l5 : TRUE, cost: 2 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 93: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 97: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 8 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-x0^0+x2^0+x1^0 == 0 /\ 2-x0^0+x1^0 <= 0), cost: 9 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, -3+x0^0-x1^0 >= 0, cost: 8+3*x0^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=2, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=2, -4+x0^0 >= 0, cost: 6+3*x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 9 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-x0^0+x2^0+x1^0 == 0 /\ 2-x0^0+x1^0 <= 0), cost: 10 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ 2-x0^0+x1^0 <= 0), cost: 8+3*x0^0-3*x2^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, -3+x0^0-x1^0 >= 0, cost: 9+3*x0^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=2, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=2, -4+x0^0 >= 0, cost: 7+3*x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+3*x0^0*(-2+x0^0-x1^0)+9/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*x2^0-3*(-2+x0^0-x1^0)*x1^0-9/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+3*x0^0*(-2+x0^0-x1^0)+9/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-9/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 9/2-3/2*(-3+x0^0)^2+3*x0^0*(-3+x0^0)+3/2*x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3+4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+4*x0^0*(-2+x0^0-x1^0)+3*x0^0-2*(-2+x0^0-x1^0)^2-3*x2^0-4*(-2+x0^0-x1^0)*x1^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+4*x0^0*(-2+x0^0-x1^0)+3*x0^0-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0-3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-4+x0^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: 12-2*(-3+x0^0)^2+4*x0^0*(-3+x0^0)-x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -4+3*x0^0*(-2+x0^0-x1^0)+11/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*x2^0-3*(-2+x0^0-x1^0)*x1^0-11/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+11/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-11/2*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 Second rule: l5 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -5+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 New rule: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3/2-3/2*(-3+x0^0)^2+3*x0^0*(-3+x0^0)+5/2*x0^0 Applied deletion Removed the following rules: 116 118 123 124 125 Chained accelerated rules with incoming rules Start location: l10 44: l10 -> l5 : TRUE, cost: 2 55: l10 -> l5 : oldX1^0'=x1^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1-x0^0+x2^0+x1^0 <= 0, cost: 3 80: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0), cost: 1+3*x0^0-3*x2^0-3*x1^0 93: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=x1^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-1+x0^0-x1^0, oldX2^0'=-1+x0^0-x1^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+3*x0^0-3*x1^0 97: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=-2+x0^0, oldX2^0'=-2+x0^0, x1^0'=1, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3*x0^0 126: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 8 127: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-x0^0+x2^0+x1^0 == 0 /\ 2-x0^0+x1^0 <= 0), cost: 9 128: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ 2-x0^0+x1^0 <= 0), cost: 7+3*x0^0-3*x2^0-3*x1^0 129: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, -3+x0^0-x1^0 >= 0, cost: 8+3*x0^0-3*x1^0 130: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=2, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=2, -4+x0^0 >= 0, cost: 6+3*x0^0 131: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-1+x0^0-x2^0-x1^0 <= 0 /\ 2-x0^0+x1^0 <= 0), cost: 9 132: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (1-x0^0+x2^0+x1^0 == 0 /\ 2-x0^0+x1^0 <= 0), cost: 10 133: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ 2-x0^0+x1^0 <= 0), cost: 8+3*x0^0-3*x2^0-3*x1^0 134: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=1+x1^0, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=1+x1^0, -3+x0^0-x1^0 >= 0, cost: 9+3*x0^0-3*x1^0 135: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=2, oldX3^0'=oldX3^post2, oldX0^0'=x0^0, x2^0'=0, oldX2^0'=0, x1^0'=2, -4+x0^0 >= 0, cost: 7+3*x0^0 136: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 137: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3*x0^0*(-2+x0^0-x1^0)+3/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-3/2*x1^0 138: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+3*x0^0*(-2+x0^0-x1^0)+9/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*x2^0-3*(-2+x0^0-x1^0)*x1^0-9/2*x1^0 139: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -1+3*x0^0*(-2+x0^0-x1^0)+9/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-9/2*x1^0 140: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 9/2-3/2*(-3+x0^0)^2+3*x0^0*(-3+x0^0)+3/2*x0^0 141: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 142: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 3+4*x0^0*(-2+x0^0-x1^0)-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0 143: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 1+4*x0^0*(-2+x0^0-x1^0)+3*x0^0-2*(-2+x0^0-x1^0)^2-3*x2^0-4*(-2+x0^0-x1^0)*x1^0-3*x1^0 144: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-1+oldX3^post4-oldX4^post4 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: 2+4*x0^0*(-2+x0^0-x1^0)+3*x0^0-2*(-2+x0^0-x1^0)^2-4*(-2+x0^0-x1^0)*x1^0-3*x1^0 145: l10 -> l5 : oldX4^0'=oldX4^post4, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post4, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-4+x0^0 >= 0 /\ -1+oldX3^post4-oldX4^post4 >= 0), cost: 12-2*(-3+x0^0)^2+4*x0^0*(-3+x0^0)-x0^0 146: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 147: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (1-x0^0+x2^0+x1^0 == 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -2+3*x0^0*(-2+x0^0-x1^0)+5/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-5/2*x1^0 148: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-3+x0^0-x2^0-x1^0 >= 0 /\ -oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -4+3*x0^0*(-2+x0^0-x1^0)+11/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*x2^0-3*(-2+x0^0-x1^0)*x1^0-11/2*x1^0 149: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -3+x0^0-x1^0 >= 0), cost: -3+3*x0^0*(-2+x0^0-x1^0)+11/2*x0^0-3/2*(-2+x0^0-x1^0)^2-3*(-2+x0^0-x1^0)*x1^0-11/2*x1^0 150: l10 -> l5 : oldX4^0'=oldX4^post3, oldX1^0'=-2+x0^0, oldX3^0'=oldX3^post3, oldX0^0'=x0^0, x2^0'=1, oldX2^0'=1, x1^0'=-2+x0^0, (-oldX3^post3+oldX4^post3 >= 0 /\ -4+x0^0 >= 0), cost: 3/2-3/2*(-3+x0^0)^2+3*x0^0*(-3+x0^0)+5/2*x0^0 Removed unreachable locations and irrelevant leafs Start location: l10 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0