WORST_CASE(Omega(0),?) Initial ITS Start location: l13 0: l0 -> l1 : x0^0'=x0^post0, oldX1^0'=oldX1^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, oldX2^0'=oldX2^post0, (-x0^0+oldX0^post0 == 0 /\ -oldX3^post0+oldX3^0 == 0 /\ -oldX2^post0+oldX2^0 == 0 /\ oldX1^post0 <= 0 /\ x0^post0-oldX0^post0 == 0 /\ -oldX1^post0+x1^post0 == 0 /\ oldX1^post0-x1^0 == 0), cost: 1 1: l0 -> l1 : x0^0'=x0^post1, oldX1^0'=oldX1^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, oldX2^0'=oldX2^post1, (-oldX2^post1+oldX2^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ oldX1^post1 <= 0 /\ -oldX1^post1 <= 0 /\ x0^post1-oldX0^post1 == 0 /\ oldX3^0-oldX3^post1 == 0 /\ -x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0), cost: 1 2: l0 -> l2 : x0^0'=x0^post2, oldX1^0'=oldX1^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, oldX2^0'=oldX2^post2, (-x0^0+oldX0^post2 == 0 /\ -oldX2^post2+oldX2^0 == 0 /\ oldX1^post2-x1^0 == 0 /\ oldX3^0-oldX3^post2 == 0 /\ 1-oldX1^post2 <= 0 /\ -oldX1^post2+x1^post2 == 0 /\ x0^post2-oldX0^post2 == 0), cost: 1 3: l0 -> l2 : x0^0'=x0^post3, oldX1^0'=oldX1^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, oldX2^0'=oldX2^post3, (oldX1^post3-x1^0 == 0 /\ -oldX2^post3+oldX2^0 == 0 /\ oldX3^0-oldX3^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ 1+oldX1^post3 <= 0 /\ -oldX0^post3+x0^post3 == 0 /\ -oldX1^post3+x1^post3 == 0 /\ 1-oldX1^post3 <= 0), cost: 1 14: l1 -> l11 : x0^0'=x0^post14, oldX1^0'=oldX1^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, oldX2^0'=oldX2^post14, (0 == 0 /\ -x0^0+oldX0^post14 == 0 /\ x0^post14-oldX2^post14 == 0 /\ oldX1^post14-x1^0 == 0 /\ -oldX3^post14+x1^post14 == 0), cost: 1 15: l2 -> l11 : x0^0'=x0^post15, oldX1^0'=oldX1^post15, oldX3^0'=oldX3^post15, oldX0^0'=oldX0^post15, x1^0'=x1^post15, oldX2^0'=oldX2^post15, (0 == 0 /\ oldX1^post15-x1^0 == 0 /\ x1^post15-oldX3^post15 == 0 /\ -x0^0+oldX0^post15 == 0 /\ x0^post15-oldX2^post15 == 0), cost: 1 16: l2 -> l3 : x0^0'=x0^post16, oldX1^0'=oldX1^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, oldX2^0'=oldX2^post16, (1-oldX1^post16+x1^post16 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX3^0-oldX3^post16 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ -x0^0+oldX0^post16 == 0), cost: 1 4: l3 -> l0 : x0^0'=x0^post4, oldX1^0'=oldX1^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, oldX2^0'=oldX2^post4, (oldX3^0-oldX3^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX2^post4+oldX2^0 == 0 /\ x0^post4-oldX0^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 5: l4 -> l5 : x0^0'=x0^post5, oldX1^0'=oldX1^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, oldX2^0'=oldX2^post5, (0 == 0 /\ -oldX3^post5+x1^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ -x0^0+oldX0^post5 == 0 /\ -oldX2^post5+x0^post5 == 0), cost: 1 6: l6 -> l5 : x0^0'=x0^post6, oldX1^0'=oldX1^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, oldX2^0'=oldX2^post6, (0 == 0 /\ -x0^0+oldX0^post6 == 0 /\ oldX1^post6-x1^0 == 0 /\ -oldX2^post6+x0^post6 == 0 /\ -oldX3^post6+x1^post6 == 0), cost: 1 7: l6 -> l7 : x0^0'=x0^post7, oldX1^0'=oldX1^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, oldX2^0'=oldX2^post7, (-oldX1^post7+x1^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -x0^0+oldX0^post7 == 0 /\ oldX2^0-oldX2^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ 1+x0^post7-oldX0^post7 == 0), cost: 1 17: l7 -> l10 : x0^0'=x0^post17, oldX1^0'=oldX1^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x1^0'=x1^post17, oldX2^0'=oldX2^post17, (-oldX2^post17+oldX2^0 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ x0^post17-oldX0^post17 == 0), cost: 1 8: l8 -> l4 : x0^0'=x0^post8, oldX1^0'=oldX1^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, oldX2^0'=oldX2^post8, (oldX1^post8-x1^0 == 0 /\ oldX0^post8 <= 0 /\ -oldX2^post8+oldX2^0 == 0 /\ oldX3^0-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1 9: l8 -> l6 : x0^0'=x0^post9, oldX1^0'=oldX1^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, oldX2^0'=oldX2^post9, (-oldX1^post9+x1^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX2^post9+oldX2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ oldX3^0-oldX3^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ 1-oldX0^post9 <= 0), cost: 1 10: l9 -> l5 : x0^0'=x0^post10, oldX1^0'=oldX1^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, oldX2^0'=oldX2^post10, (0 == 0 /\ x1^post10-oldX3^post10 == 0 /\ -x0^0+oldX0^post10 == 0 /\ -oldX2^post10+x0^post10 == 0 /\ oldX1^post10-x1^0 == 0), cost: 1 11: l9 -> l7 : x0^0'=x0^post11, oldX1^0'=oldX1^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, oldX2^0'=oldX2^post11, (-oldX2^post11+oldX2^0 == 0 /\ -x0^0+oldX0^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ 1-oldX1^post11+x1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 12: l10 -> l8 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^post12-oldX0^post12 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ oldX1^post12 <= 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -x1^0+oldX1^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -x0^0+oldX0^post12 == 0), cost: 1 13: l10 -> l9 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^post13-oldX0^post13 == 0 /\ -x0^0+oldX0^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ oldX1^post13-x1^0 == 0 /\ 1-oldX1^post13 <= 0 /\ -oldX1^post13+x1^post13 == 0), cost: 1 18: l12 -> l0 : x0^0'=x0^post18, oldX1^0'=oldX1^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x1^0'=x1^post18, oldX2^0'=oldX2^post18, (x0^0-x0^post18 == 0 /\ oldX1^0-oldX1^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -oldX3^post18+oldX3^0 == 0 /\ -oldX0^post18+oldX0^0 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 19: l12 -> l3 : x0^0'=x0^post19, oldX1^0'=oldX1^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x1^0'=x1^post19, oldX2^0'=oldX2^post19, (x0^0-x0^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ -oldX3^post19+oldX3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0), cost: 1 20: l12 -> l4 : x0^0'=x0^post20, oldX1^0'=oldX1^post20, oldX3^0'=oldX3^post20, oldX0^0'=oldX0^post20, x1^0'=x1^post20, oldX2^0'=oldX2^post20, (oldX1^0-oldX1^post20 == 0 /\ -oldX3^post20+oldX3^0 == 0 /\ x0^0-x0^post20 == 0 /\ x1^0-x1^post20 == 0 /\ oldX2^0-oldX2^post20 == 0 /\ -oldX0^post20+oldX0^0 == 0), cost: 1 21: l12 -> l6 : x0^0'=x0^post21, oldX1^0'=oldX1^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x1^0'=x1^post21, oldX2^0'=oldX2^post21, (oldX2^0-oldX2^post21 == 0 /\ -oldX0^post21+oldX0^0 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX3^0-oldX3^post21 == 0), cost: 1 22: l12 -> l5 : x0^0'=x0^post22, oldX1^0'=oldX1^post22, oldX3^0'=oldX3^post22, oldX0^0'=oldX0^post22, x1^0'=x1^post22, oldX2^0'=oldX2^post22, (-oldX2^post22+oldX2^0 == 0 /\ oldX1^0-oldX1^post22 == 0 /\ oldX0^0-oldX0^post22 == 0 /\ x0^0-x0^post22 == 0 /\ oldX3^0-oldX3^post22 == 0 /\ -x1^post22+x1^0 == 0), cost: 1 23: l12 -> l8 : x0^0'=x0^post23, oldX1^0'=oldX1^post23, oldX3^0'=oldX3^post23, oldX0^0'=oldX0^post23, x1^0'=x1^post23, oldX2^0'=oldX2^post23, (-x1^post23+x1^0 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX3^0-oldX3^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ -oldX1^post23+oldX1^0 == 0 /\ x0^0-x0^post23 == 0), cost: 1 24: l12 -> l9 : x0^0'=x0^post24, oldX1^0'=oldX1^post24, oldX3^0'=oldX3^post24, oldX0^0'=oldX0^post24, x1^0'=x1^post24, oldX2^0'=oldX2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ x0^0-x0^post24 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ x1^0-x1^post24 == 0), cost: 1 25: l12 -> l10 : x0^0'=x0^post25, oldX1^0'=oldX1^post25, oldX3^0'=oldX3^post25, oldX0^0'=oldX0^post25, x1^0'=x1^post25, oldX2^0'=oldX2^post25, (-oldX3^post25+oldX3^0 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ x0^0-x0^post25 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ x1^0-x1^post25 == 0 /\ oldX0^0-oldX0^post25 == 0), cost: 1 26: l12 -> l11 : x0^0'=x0^post26, oldX1^0'=oldX1^post26, oldX3^0'=oldX3^post26, oldX0^0'=oldX0^post26, x1^0'=x1^post26, oldX2^0'=oldX2^post26, (-oldX2^post26+oldX2^0 == 0 /\ -oldX0^post26+oldX0^0 == 0 /\ oldX1^0-oldX1^post26 == 0 /\ x0^0-x0^post26 == 0 /\ x1^0-x1^post26 == 0 /\ -oldX3^post26+oldX3^0 == 0), cost: 1 27: l12 -> l1 : x0^0'=x0^post27, oldX1^0'=oldX1^post27, oldX3^0'=oldX3^post27, oldX0^0'=oldX0^post27, x1^0'=x1^post27, oldX2^0'=oldX2^post27, (oldX2^0-oldX2^post27 == 0 /\ -oldX3^post27+oldX3^0 == 0 /\ -x1^post27+x1^0 == 0 /\ -oldX0^post27+oldX0^0 == 0 /\ oldX1^0-oldX1^post27 == 0 /\ x0^0-x0^post27 == 0), cost: 1 28: l12 -> l2 : x0^0'=x0^post28, oldX1^0'=oldX1^post28, oldX3^0'=oldX3^post28, oldX0^0'=oldX0^post28, x1^0'=x1^post28, oldX2^0'=oldX2^post28, (-x1^post28+x1^0 == 0 /\ -oldX2^post28+oldX2^0 == 0 /\ -oldX0^post28+oldX0^0 == 0 /\ oldX1^0-oldX1^post28 == 0 /\ oldX3^0-oldX3^post28 == 0 /\ -x0^post28+x0^0 == 0), cost: 1 29: l12 -> l7 : x0^0'=x0^post29, oldX1^0'=oldX1^post29, oldX3^0'=oldX3^post29, oldX0^0'=oldX0^post29, x1^0'=x1^post29, oldX2^0'=oldX2^post29, (-oldX2^post29+oldX2^0 == 0 /\ x0^0-x0^post29 == 0 /\ oldX0^0-oldX0^post29 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX1^0-oldX1^post29 == 0 /\ -x1^post29+x1^0 == 0), cost: 1 30: l13 -> l12 : x0^0'=x0^post30, oldX1^0'=oldX1^post30, oldX3^0'=oldX3^post30, oldX0^0'=oldX0^post30, x1^0'=x1^post30, oldX2^0'=oldX2^post30, (x0^0-x0^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ oldX3^0-oldX3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ -x1^post30+x1^0 == 0 /\ oldX0^0-oldX0^post30 == 0), cost: 1 Removed unreachable rules and leafs Start location: l13 2: l0 -> l2 : x0^0'=x0^post2, oldX1^0'=oldX1^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, oldX2^0'=oldX2^post2, (-x0^0+oldX0^post2 == 0 /\ -oldX2^post2+oldX2^0 == 0 /\ oldX1^post2-x1^0 == 0 /\ oldX3^0-oldX3^post2 == 0 /\ 1-oldX1^post2 <= 0 /\ -oldX1^post2+x1^post2 == 0 /\ x0^post2-oldX0^post2 == 0), cost: 1 3: l0 -> l2 : x0^0'=x0^post3, oldX1^0'=oldX1^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, oldX2^0'=oldX2^post3, (oldX1^post3-x1^0 == 0 /\ -oldX2^post3+oldX2^0 == 0 /\ oldX3^0-oldX3^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ 1+oldX1^post3 <= 0 /\ -oldX0^post3+x0^post3 == 0 /\ -oldX1^post3+x1^post3 == 0 /\ 1-oldX1^post3 <= 0), cost: 1 16: l2 -> l3 : x0^0'=x0^post16, oldX1^0'=oldX1^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, oldX2^0'=oldX2^post16, (1-oldX1^post16+x1^post16 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX3^0-oldX3^post16 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ -x0^0+oldX0^post16 == 0), cost: 1 4: l3 -> l0 : x0^0'=x0^post4, oldX1^0'=oldX1^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, oldX2^0'=oldX2^post4, (oldX3^0-oldX3^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX2^post4+oldX2^0 == 0 /\ x0^post4-oldX0^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 7: l6 -> l7 : x0^0'=x0^post7, oldX1^0'=oldX1^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, oldX2^0'=oldX2^post7, (-oldX1^post7+x1^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -x0^0+oldX0^post7 == 0 /\ oldX2^0-oldX2^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ 1+x0^post7-oldX0^post7 == 0), cost: 1 17: l7 -> l10 : x0^0'=x0^post17, oldX1^0'=oldX1^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x1^0'=x1^post17, oldX2^0'=oldX2^post17, (-oldX2^post17+oldX2^0 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ x0^post17-oldX0^post17 == 0), cost: 1 9: l8 -> l6 : x0^0'=x0^post9, oldX1^0'=oldX1^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, oldX2^0'=oldX2^post9, (-oldX1^post9+x1^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX2^post9+oldX2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ oldX3^0-oldX3^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ 1-oldX0^post9 <= 0), cost: 1 11: l9 -> l7 : x0^0'=x0^post11, oldX1^0'=oldX1^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, oldX2^0'=oldX2^post11, (-oldX2^post11+oldX2^0 == 0 /\ -x0^0+oldX0^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ 1-oldX1^post11+x1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 12: l10 -> l8 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^post12-oldX0^post12 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ oldX1^post12 <= 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -x1^0+oldX1^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -x0^0+oldX0^post12 == 0), cost: 1 13: l10 -> l9 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^post13-oldX0^post13 == 0 /\ -x0^0+oldX0^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ oldX1^post13-x1^0 == 0 /\ 1-oldX1^post13 <= 0 /\ -oldX1^post13+x1^post13 == 0), cost: 1 18: l12 -> l0 : x0^0'=x0^post18, oldX1^0'=oldX1^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x1^0'=x1^post18, oldX2^0'=oldX2^post18, (x0^0-x0^post18 == 0 /\ oldX1^0-oldX1^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -oldX3^post18+oldX3^0 == 0 /\ -oldX0^post18+oldX0^0 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 19: l12 -> l3 : x0^0'=x0^post19, oldX1^0'=oldX1^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x1^0'=x1^post19, oldX2^0'=oldX2^post19, (x0^0-x0^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ -oldX3^post19+oldX3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0), cost: 1 21: l12 -> l6 : x0^0'=x0^post21, oldX1^0'=oldX1^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x1^0'=x1^post21, oldX2^0'=oldX2^post21, (oldX2^0-oldX2^post21 == 0 /\ -oldX0^post21+oldX0^0 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX3^0-oldX3^post21 == 0), cost: 1 23: l12 -> l8 : x0^0'=x0^post23, oldX1^0'=oldX1^post23, oldX3^0'=oldX3^post23, oldX0^0'=oldX0^post23, x1^0'=x1^post23, oldX2^0'=oldX2^post23, (-x1^post23+x1^0 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX3^0-oldX3^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ -oldX1^post23+oldX1^0 == 0 /\ x0^0-x0^post23 == 0), cost: 1 24: l12 -> l9 : x0^0'=x0^post24, oldX1^0'=oldX1^post24, oldX3^0'=oldX3^post24, oldX0^0'=oldX0^post24, x1^0'=x1^post24, oldX2^0'=oldX2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ x0^0-x0^post24 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ x1^0-x1^post24 == 0), cost: 1 25: l12 -> l10 : x0^0'=x0^post25, oldX1^0'=oldX1^post25, oldX3^0'=oldX3^post25, oldX0^0'=oldX0^post25, x1^0'=x1^post25, oldX2^0'=oldX2^post25, (-oldX3^post25+oldX3^0 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ x0^0-x0^post25 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ x1^0-x1^post25 == 0 /\ oldX0^0-oldX0^post25 == 0), cost: 1 28: l12 -> l2 : x0^0'=x0^post28, oldX1^0'=oldX1^post28, oldX3^0'=oldX3^post28, oldX0^0'=oldX0^post28, x1^0'=x1^post28, oldX2^0'=oldX2^post28, (-x1^post28+x1^0 == 0 /\ -oldX2^post28+oldX2^0 == 0 /\ -oldX0^post28+oldX0^0 == 0 /\ oldX1^0-oldX1^post28 == 0 /\ oldX3^0-oldX3^post28 == 0 /\ -x0^post28+x0^0 == 0), cost: 1 29: l12 -> l7 : x0^0'=x0^post29, oldX1^0'=oldX1^post29, oldX3^0'=oldX3^post29, oldX0^0'=oldX0^post29, x1^0'=x1^post29, oldX2^0'=oldX2^post29, (-oldX2^post29+oldX2^0 == 0 /\ x0^0-x0^post29 == 0 /\ oldX0^0-oldX0^post29 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX1^0-oldX1^post29 == 0 /\ -x1^post29+x1^0 == 0), cost: 1 30: l13 -> l12 : x0^0'=x0^post30, oldX1^0'=oldX1^post30, oldX3^0'=oldX3^post30, oldX0^0'=oldX0^post30, x1^0'=x1^post30, oldX2^0'=oldX2^post30, (x0^0-x0^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ oldX3^0-oldX3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ -x1^post30+x1^0 == 0 /\ oldX0^0-oldX0^post30 == 0), cost: 1 Removed rules with unsatisfiable guard Start location: l13 2: l0 -> l2 : x0^0'=x0^post2, oldX1^0'=oldX1^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, oldX2^0'=oldX2^post2, (-x0^0+oldX0^post2 == 0 /\ -oldX2^post2+oldX2^0 == 0 /\ oldX1^post2-x1^0 == 0 /\ oldX3^0-oldX3^post2 == 0 /\ 1-oldX1^post2 <= 0 /\ -oldX1^post2+x1^post2 == 0 /\ x0^post2-oldX0^post2 == 0), cost: 1 16: l2 -> l3 : x0^0'=x0^post16, oldX1^0'=oldX1^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, oldX2^0'=oldX2^post16, (1-oldX1^post16+x1^post16 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX3^0-oldX3^post16 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ -x0^0+oldX0^post16 == 0), cost: 1 4: l3 -> l0 : x0^0'=x0^post4, oldX1^0'=oldX1^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, oldX2^0'=oldX2^post4, (oldX3^0-oldX3^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX2^post4+oldX2^0 == 0 /\ x0^post4-oldX0^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 7: l6 -> l7 : x0^0'=x0^post7, oldX1^0'=oldX1^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, oldX2^0'=oldX2^post7, (-oldX1^post7+x1^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -x0^0+oldX0^post7 == 0 /\ oldX2^0-oldX2^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ 1+x0^post7-oldX0^post7 == 0), cost: 1 17: l7 -> l10 : x0^0'=x0^post17, oldX1^0'=oldX1^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x1^0'=x1^post17, oldX2^0'=oldX2^post17, (-oldX2^post17+oldX2^0 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ x0^post17-oldX0^post17 == 0), cost: 1 9: l8 -> l6 : x0^0'=x0^post9, oldX1^0'=oldX1^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, oldX2^0'=oldX2^post9, (-oldX1^post9+x1^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX2^post9+oldX2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ oldX3^0-oldX3^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ 1-oldX0^post9 <= 0), cost: 1 11: l9 -> l7 : x0^0'=x0^post11, oldX1^0'=oldX1^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, oldX2^0'=oldX2^post11, (-oldX2^post11+oldX2^0 == 0 /\ -x0^0+oldX0^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ 1-oldX1^post11+x1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 12: l10 -> l8 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^post12-oldX0^post12 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ oldX1^post12 <= 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -x1^0+oldX1^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -x0^0+oldX0^post12 == 0), cost: 1 13: l10 -> l9 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^post13-oldX0^post13 == 0 /\ -x0^0+oldX0^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ oldX1^post13-x1^0 == 0 /\ 1-oldX1^post13 <= 0 /\ -oldX1^post13+x1^post13 == 0), cost: 1 18: l12 -> l0 : x0^0'=x0^post18, oldX1^0'=oldX1^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x1^0'=x1^post18, oldX2^0'=oldX2^post18, (x0^0-x0^post18 == 0 /\ oldX1^0-oldX1^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -oldX3^post18+oldX3^0 == 0 /\ -oldX0^post18+oldX0^0 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 19: l12 -> l3 : x0^0'=x0^post19, oldX1^0'=oldX1^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x1^0'=x1^post19, oldX2^0'=oldX2^post19, (x0^0-x0^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ -oldX3^post19+oldX3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0), cost: 1 21: l12 -> l6 : x0^0'=x0^post21, oldX1^0'=oldX1^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x1^0'=x1^post21, oldX2^0'=oldX2^post21, (oldX2^0-oldX2^post21 == 0 /\ -oldX0^post21+oldX0^0 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX3^0-oldX3^post21 == 0), cost: 1 23: l12 -> l8 : x0^0'=x0^post23, oldX1^0'=oldX1^post23, oldX3^0'=oldX3^post23, oldX0^0'=oldX0^post23, x1^0'=x1^post23, oldX2^0'=oldX2^post23, (-x1^post23+x1^0 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX3^0-oldX3^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ -oldX1^post23+oldX1^0 == 0 /\ x0^0-x0^post23 == 0), cost: 1 24: l12 -> l9 : x0^0'=x0^post24, oldX1^0'=oldX1^post24, oldX3^0'=oldX3^post24, oldX0^0'=oldX0^post24, x1^0'=x1^post24, oldX2^0'=oldX2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ x0^0-x0^post24 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ x1^0-x1^post24 == 0), cost: 1 25: l12 -> l10 : x0^0'=x0^post25, oldX1^0'=oldX1^post25, oldX3^0'=oldX3^post25, oldX0^0'=oldX0^post25, x1^0'=x1^post25, oldX2^0'=oldX2^post25, (-oldX3^post25+oldX3^0 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ x0^0-x0^post25 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ x1^0-x1^post25 == 0 /\ oldX0^0-oldX0^post25 == 0), cost: 1 28: l12 -> l2 : x0^0'=x0^post28, oldX1^0'=oldX1^post28, oldX3^0'=oldX3^post28, oldX0^0'=oldX0^post28, x1^0'=x1^post28, oldX2^0'=oldX2^post28, (-x1^post28+x1^0 == 0 /\ -oldX2^post28+oldX2^0 == 0 /\ -oldX0^post28+oldX0^0 == 0 /\ oldX1^0-oldX1^post28 == 0 /\ oldX3^0-oldX3^post28 == 0 /\ -x0^post28+x0^0 == 0), cost: 1 29: l12 -> l7 : x0^0'=x0^post29, oldX1^0'=oldX1^post29, oldX3^0'=oldX3^post29, oldX0^0'=oldX0^post29, x1^0'=x1^post29, oldX2^0'=oldX2^post29, (-oldX2^post29+oldX2^0 == 0 /\ x0^0-x0^post29 == 0 /\ oldX0^0-oldX0^post29 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX1^0-oldX1^post29 == 0 /\ -x1^post29+x1^0 == 0), cost: 1 30: l13 -> l12 : x0^0'=x0^post30, oldX1^0'=oldX1^post30, oldX3^0'=oldX3^post30, oldX0^0'=oldX0^post30, x1^0'=x1^post30, oldX2^0'=oldX2^post30, (x0^0-x0^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ oldX3^0-oldX3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ -x1^post30+x1^0 == 0 /\ oldX0^0-oldX0^post30 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : x0^0'=x0^post2, oldX1^0'=oldX1^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, oldX2^0'=oldX2^post2, (-x0^0+oldX0^post2 == 0 /\ -oldX2^post2+oldX2^0 == 0 /\ oldX1^post2-x1^0 == 0 /\ oldX3^0-oldX3^post2 == 0 /\ 1-oldX1^post2 <= 0 /\ -oldX1^post2+x1^post2 == 0 /\ x0^post2-oldX0^post2 == 0), cost: 1 New rule: l0 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : x0^0'=x0^post4, oldX1^0'=oldX1^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, oldX2^0'=oldX2^post4, (oldX3^0-oldX3^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX2^post4+oldX2^0 == 0 /\ x0^post4-oldX0^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1 New rule: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l7 : x0^0'=x0^post7, oldX1^0'=oldX1^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, oldX2^0'=oldX2^post7, (-oldX1^post7+x1^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ -x0^0+oldX0^post7 == 0 /\ oldX2^0-oldX2^post7 == 0 /\ oldX3^0-oldX3^post7 == 0 /\ 1+x0^post7-oldX0^post7 == 0), cost: 1 New rule: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l6 : x0^0'=x0^post9, oldX1^0'=oldX1^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, oldX2^0'=oldX2^post9, (-oldX1^post9+x1^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX2^post9+oldX2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ oldX3^0-oldX3^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ 1-oldX0^post9 <= 0), cost: 1 New rule: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 Applied preprocessing Original rule: l9 -> l7 : x0^0'=x0^post11, oldX1^0'=oldX1^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, oldX2^0'=oldX2^post11, (-oldX2^post11+oldX2^0 == 0 /\ -x0^0+oldX0^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ 1-oldX1^post11+x1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX3^0-oldX3^post11 == 0), cost: 1 New rule: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l8 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^post12-oldX0^post12 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ oldX1^post12 <= 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -x1^0+oldX1^post12 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -x0^0+oldX0^post12 == 0), cost: 1 New rule: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 Applied preprocessing Original rule: l10 -> l9 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^post13-oldX0^post13 == 0 /\ -x0^0+oldX0^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ oldX1^post13-x1^0 == 0 /\ 1-oldX1^post13 <= 0 /\ -oldX1^post13+x1^post13 == 0), cost: 1 New rule: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 Applied preprocessing Original rule: l2 -> l3 : x0^0'=x0^post16, oldX1^0'=oldX1^post16, oldX3^0'=oldX3^post16, oldX0^0'=oldX0^post16, x1^0'=x1^post16, oldX2^0'=oldX2^post16, (1-oldX1^post16+x1^post16 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX3^0-oldX3^post16 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ -x0^0+oldX0^post16 == 0), cost: 1 New rule: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l10 : x0^0'=x0^post17, oldX1^0'=oldX1^post17, oldX3^0'=oldX3^post17, oldX0^0'=oldX0^post17, x1^0'=x1^post17, oldX2^0'=oldX2^post17, (-oldX2^post17+oldX2^0 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ x0^post17-oldX0^post17 == 0), cost: 1 New rule: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l0 : x0^0'=x0^post18, oldX1^0'=oldX1^post18, oldX3^0'=oldX3^post18, oldX0^0'=oldX0^post18, x1^0'=x1^post18, oldX2^0'=oldX2^post18, (x0^0-x0^post18 == 0 /\ oldX1^0-oldX1^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -oldX3^post18+oldX3^0 == 0 /\ -oldX0^post18+oldX0^0 == 0 /\ -oldX2^post18+oldX2^0 == 0), cost: 1 New rule: l12 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l3 : x0^0'=x0^post19, oldX1^0'=oldX1^post19, oldX3^0'=oldX3^post19, oldX0^0'=oldX0^post19, x1^0'=x1^post19, oldX2^0'=oldX2^post19, (x0^0-x0^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ -oldX3^post19+oldX3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0), cost: 1 New rule: l12 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l6 : x0^0'=x0^post21, oldX1^0'=oldX1^post21, oldX3^0'=oldX3^post21, oldX0^0'=oldX0^post21, x1^0'=x1^post21, oldX2^0'=oldX2^post21, (oldX2^0-oldX2^post21 == 0 /\ -oldX0^post21+oldX0^0 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX3^0-oldX3^post21 == 0), cost: 1 New rule: l12 -> l6 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l8 : x0^0'=x0^post23, oldX1^0'=oldX1^post23, oldX3^0'=oldX3^post23, oldX0^0'=oldX0^post23, x1^0'=x1^post23, oldX2^0'=oldX2^post23, (-x1^post23+x1^0 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX3^0-oldX3^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ -oldX1^post23+oldX1^0 == 0 /\ x0^0-x0^post23 == 0), cost: 1 New rule: l12 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l9 : x0^0'=x0^post24, oldX1^0'=oldX1^post24, oldX3^0'=oldX3^post24, oldX0^0'=oldX0^post24, x1^0'=x1^post24, oldX2^0'=oldX2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ x0^0-x0^post24 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ x1^0-x1^post24 == 0), cost: 1 New rule: l12 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l10 : x0^0'=x0^post25, oldX1^0'=oldX1^post25, oldX3^0'=oldX3^post25, oldX0^0'=oldX0^post25, x1^0'=x1^post25, oldX2^0'=oldX2^post25, (-oldX3^post25+oldX3^0 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ x0^0-x0^post25 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ x1^0-x1^post25 == 0 /\ oldX0^0-oldX0^post25 == 0), cost: 1 New rule: l12 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l2 : x0^0'=x0^post28, oldX1^0'=oldX1^post28, oldX3^0'=oldX3^post28, oldX0^0'=oldX0^post28, x1^0'=x1^post28, oldX2^0'=oldX2^post28, (-x1^post28+x1^0 == 0 /\ -oldX2^post28+oldX2^0 == 0 /\ -oldX0^post28+oldX0^0 == 0 /\ oldX1^0-oldX1^post28 == 0 /\ oldX3^0-oldX3^post28 == 0 /\ -x0^post28+x0^0 == 0), cost: 1 New rule: l12 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l7 : x0^0'=x0^post29, oldX1^0'=oldX1^post29, oldX3^0'=oldX3^post29, oldX0^0'=oldX0^post29, x1^0'=x1^post29, oldX2^0'=oldX2^post29, (-oldX2^post29+oldX2^0 == 0 /\ x0^0-x0^post29 == 0 /\ oldX0^0-oldX0^post29 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX1^0-oldX1^post29 == 0 /\ -x1^post29+x1^0 == 0), cost: 1 New rule: l12 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l13 -> l12 : x0^0'=x0^post30, oldX1^0'=oldX1^post30, oldX3^0'=oldX3^post30, oldX0^0'=oldX0^post30, x1^0'=x1^post30, oldX2^0'=oldX2^post30, (x0^0-x0^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ oldX3^0-oldX3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ -x1^post30+x1^0 == 0 /\ oldX0^0-oldX0^post30 == 0), cost: 1 New rule: l13 -> l12 : TRUE, cost: 1 Simplified rules Start location: l13 31: l0 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 38: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 32: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 40: l12 -> l0 : TRUE, cost: 1 41: l12 -> l3 : TRUE, cost: 1 42: l12 -> l6 : TRUE, cost: 1 43: l12 -> l8 : TRUE, cost: 1 44: l12 -> l9 : TRUE, cost: 1 45: l12 -> l10 : TRUE, cost: 1 46: l12 -> l2 : TRUE, cost: 1 47: l12 -> l7 : TRUE, cost: 1 48: l13 -> l12 : TRUE, cost: 1 Eliminating location l12 by chaining: Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l0 : TRUE, cost: 1 New rule: l13 -> l0 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l3 : TRUE, cost: 1 New rule: l13 -> l3 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l6 : TRUE, cost: 1 New rule: l13 -> l6 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l8 : TRUE, cost: 1 New rule: l13 -> l8 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l9 : TRUE, cost: 1 New rule: l13 -> l9 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l10 : TRUE, cost: 1 New rule: l13 -> l10 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l2 : TRUE, cost: 1 New rule: l13 -> l2 : TRUE, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l7 : TRUE, cost: 1 New rule: l13 -> l7 : TRUE, cost: 2 Applied deletion Removed the following rules: 40 41 42 43 44 45 46 47 48 Eliminated locations on tree-shaped paths Start location: l13 31: l0 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 38: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 32: l3 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 49: l13 -> l0 : TRUE, cost: 2 50: l13 -> l3 : TRUE, cost: 2 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 55: l13 -> l2 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 Eliminated location l0 Start location: l13 38: l2 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 57: l3 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 2 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 50: l13 -> l3 : TRUE, cost: 2 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 55: l13 -> l2 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 58: l13 -> l2 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 3 Eliminated location l2 Start location: l13 60: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 50: l13 -> l3 : TRUE, cost: 2 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 59: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 3 61: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 4 Applied acceleration Original rule: l3 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 New rule: l3 -> l3 : oldX1^0'=1-n+x1^0, oldX0^0'=x0^0, x1^0'=-n+x1^0, (-1+n >= 0 /\ -n+x1^0 >= 0), cost: 3*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_AgAgjB.txt Applied instantiation Original rule: l3 -> l3 : oldX1^0'=1-n+x1^0, oldX0^0'=x0^0, x1^0'=-n+x1^0, (-1+n >= 0 /\ -n+x1^0 >= 0), cost: 3*n New rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0), cost: 3*x1^0 Applied simplification Original rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0), cost: 3*x1^0 New rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 Applied deletion Removed the following rules: 60 Accelerated simple loops Start location: l13 63: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 50: l13 -> l3 : TRUE, cost: 2 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 59: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 3 61: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 4 Applied chaining First rule: l13 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 2+3*x1^0 Applied chaining First rule: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 3 Second rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -2+x1^0 >= 0, cost: 3*x1^0 Applied chaining First rule: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 4 Second rule: l3 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -2+x1^0 >= 0, cost: 1+3*x1^0 Applied deletion Removed the following rules: 63 Chained accelerated rules with incoming rules Start location: l13 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 50: l13 -> l3 : TRUE, cost: 2 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 59: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 3 61: l13 -> l3 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 4 64: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 2+3*x1^0 65: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -2+x1^0 >= 0, cost: 3*x1^0 66: l13 -> l3 : oldX1^0'=1, oldX0^0'=x0^0, x1^0'=0, -2+x1^0 >= 0, cost: 1+3*x1^0 Removed unreachable locations and irrelevant leafs Start location: l13 33: l6 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 34: l8 -> l6 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 1 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 51: l13 -> l6 : TRUE, cost: 2 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 Eliminated location l6 Start location: l13 39: l7 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1 67: l8 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x0^0 >= 0, cost: 2 35: l9 -> l7 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 56: l13 -> l7 : TRUE, cost: 2 68: l13 -> l7 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 Eliminated location l7 Start location: l13 71: l8 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 3 69: l9 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 2 36: l10 -> l8 : oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0 <= 0, cost: 1 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 52: l13 -> l8 : TRUE, cost: 2 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 72: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 Eliminated location l8 Start location: l13 69: l9 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 2 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 73: l10 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 72: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 Applied acceleration Original rule: l10 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4 New rule: l10 -> l10 : x0^0'=x0^0-n0, oldX1^0'=x1^0, oldX0^0'=x0^0-n0, (x0^0-n0 >= 0 /\ -1+n0 >= 0 /\ -x1^0 >= 0), cost: 4*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_gaGcGF.txt Applied instantiation Original rule: l10 -> l10 : x0^0'=x0^0-n0, oldX1^0'=x1^0, oldX0^0'=x0^0-n0, (x0^0-n0 >= 0 /\ -1+n0 >= 0 /\ -x1^0 >= 0), cost: 4*n0 New rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (0 >= 0 /\ -x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 Applied simplification Original rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (0 >= 0 /\ -x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 Applied deletion Removed the following rules: 73 Accelerated simple loops Start location: l13 69: l9 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 2 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 76: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 72: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 Applied chaining First rule: l13 -> l10 : TRUE, cost: 2 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 2+4*x0^0 Applied chaining First rule: l9 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 2 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l9 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 2+4*x0^0 Applied chaining First rule: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 Applied chaining First rule: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 4*x0^0 Applied chaining First rule: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 Applied deletion Removed the following rules: 76 Chained accelerated rules with incoming rules Start location: l13 69: l9 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 2 78: l9 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 2+4*x0^0 37: l10 -> l9 : oldX1^0'=x1^0, oldX0^0'=x0^0, -1+x1^0 >= 0, cost: 1 53: l13 -> l9 : TRUE, cost: 2 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 72: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 77: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 2+4*x0^0 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 80: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 Eliminated location l9 Start location: l13 82: l10 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 83: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 72: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, TRUE, cost: 4 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 77: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 2+4*x0^0 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 80: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 84: l13 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 4 85: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 4+4*x0^0 Applied pruning (of leafs and parallel rules): Start location: l13 82: l10 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 83: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 Applied simplification Original rule: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 New rule: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 Simplified simple loops Start location: l13 82: l10 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 86: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 Applied acceleration Original rule: l10 -> l10 : oldX1^0'=-1+x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, -1+x1^0 >= 0, cost: 3 New rule: l10 -> l10 : oldX1^0'=-n1+x1^0, oldX0^0'=x0^0, x1^0'=-n1+x1^0, (-1+n1 >= 0 /\ -n1+x1^0 >= 0), cost: 3*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_gPIgKO.txt Applied instantiation Original rule: l10 -> l10 : oldX1^0'=-n1+x1^0, oldX0^0'=x0^0, x1^0'=-n1+x1^0, (-1+n1 >= 0 /\ -n1+x1^0 >= 0), cost: 3*n1 New rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0), cost: 3*x1^0 Applied simplification Original rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0), cost: 3*x1^0 New rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 Applied deletion Removed the following rules: 82 Accelerated simple loops Start location: l13 86: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 88: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 Applied chaining First rule: l13 -> l10 : TRUE, cost: 2 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 5+4*x0^0 Applied chaining First rule: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 6+4*x0^0 Applied chaining First rule: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 Second rule: l10 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 New rule: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-2+x0^0 >= 0 /\ -1+x1^0 == 0), cost: 4+4*x0^0 Applied chaining First rule: l13 -> l10 : TRUE, cost: 2 Second rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 2+3*x1^0 Applied chaining First rule: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 Second rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3+3*x1^0 Applied chaining First rule: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 Second rule: l10 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3*x1^0 New rule: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=0, oldX0^0'=-1+x0^0, x1^0'=0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 5+3*x1^0 Applied deletion Removed the following rules: 86 88 Chained accelerated rules with incoming rules Start location: l13 54: l13 -> l10 : TRUE, cost: 2 70: l13 -> l10 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3 74: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=-1+x0^0, -1+x0^0 >= 0, cost: 5 79: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (x1^0 <= 0 /\ -1+x0^0 >= 0), cost: 3+4*x0^0 81: l13 -> l10 : x0^0'=0, oldX1^0'=x1^0, oldX0^0'=0, (-2+x0^0 >= 0 /\ x1^0 <= 0), cost: 1+4*x0^0 89: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 5+4*x0^0 90: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-1+x1^0 == 0 /\ -1+x0^0 >= 0), cost: 6+4*x0^0 91: l13 -> l10 : x0^0'=0, oldX1^0'=-1+x1^0, oldX0^0'=0, x1^0'=-1+x1^0, (-2+x0^0 >= 0 /\ -1+x1^0 == 0), cost: 4+4*x0^0 92: l13 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 2+3*x1^0 93: l13 -> l10 : oldX1^0'=0, oldX0^0'=x0^0, x1^0'=0, -1+x1^0 >= 0, cost: 3+3*x1^0 94: l13 -> l10 : x0^0'=-1+x0^0, oldX1^0'=0, oldX0^0'=-1+x0^0, x1^0'=0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 5+3*x1^0 Removed unreachable locations and irrelevant leafs Start location: l13 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0