WORST_CASE(Omega(0),?) Initial ITS Start location: l18 0: l0 -> l1 : i2^0'=i2^post0, r^0'=r^post0, __const_10^0'=__const_10^post0, i^0'=i^post0, (__const_10^0-i^0 <= 0 /\ r^0-r^post0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_10^0-__const_10^post0 == 0 /\ i^post0 == 0), cost: 1 1: l0 -> l2 : i2^0'=i2^post1, r^0'=r^post1, __const_10^0'=__const_10^post1, i^0'=i^post1, (__const_10^0-__const_10^post1 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ r^0-r^post1 == 0 /\ -i^post1+i^0 == 0 /\ i2^post1-i^0 == 0), cost: 1 16: l1 -> l10 : i2^0'=i2^post16, r^0'=r^post16, __const_10^0'=__const_10^post16, i^0'=i^post16, (-__const_10^post16+__const_10^0 == 0 /\ -r^post16+r^0 == 0 /\ -i2^post16+i2^0 == 0 /\ -i^post16+i^0 == 0), cost: 1 23: l2 -> l16 : i2^0'=i2^post23, r^0'=r^post23, __const_10^0'=__const_10^post23, i^0'=i^post23, (-i^post23+i^0 == 0 /\ i2^0-i2^post23 == 0 /\ r^0-r^post23 == 0 /\ -__const_10^post23+__const_10^0 == 0), cost: 1 24: l2 -> l12 : i2^0'=i2^post24, r^0'=r^post24, __const_10^0'=__const_10^post24, i^0'=i^post24, (-i^post24+i^0 == 0 /\ -r^post24+r^0 == 0 /\ -__const_10^post24+__const_10^0 == 0 /\ i2^0-i2^post24 == 0), cost: 1 25: l2 -> l16 : i2^0'=i2^post25, r^0'=r^post25, __const_10^0'=__const_10^post25, i^0'=i^post25, (i^0-i^post25 == 0 /\ -i2^post25+i2^0 == 0 /\ r^0-r^post25 == 0 /\ -__const_10^post25+__const_10^0 == 0), cost: 1 2: l3 -> l1 : i2^0'=i2^post2, r^0'=r^post2, __const_10^0'=__const_10^post2, i^0'=i^post2, (-r^post2+r^0 == 0 /\ -1+i^post2-i^0 == 0 /\ i2^0-i2^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0), cost: 1 3: l4 -> l5 : i2^0'=i2^post3, r^0'=r^post3, __const_10^0'=__const_10^post3, i^0'=i^post3, (-__const_10^post3+__const_10^0 == 0 /\ -i^post3+i^0 == 0 /\ -r^post3+r^0 == 0 /\ i2^0-i2^post3 == 0), cost: 1 4: l5 -> l3 : i2^0'=i2^post4, r^0'=r^post4, __const_10^0'=__const_10^post4, i^0'=i^post4, (-__const_10^post4+__const_10^0 == 0 /\ -i^post4+i^0 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0), cost: 1 5: l6 -> l0 : i2^0'=i2^post5, r^0'=r^post5, __const_10^0'=__const_10^post5, i^0'=i^post5, (r^0-r^post5 == 0 /\ i^0-i^post5 == 0 /\ i2^0-i2^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1 6: l7 -> l4 : i2^0'=i2^post6, r^0'=r^post6, __const_10^0'=__const_10^post6, i^0'=i^post6, (i2^0-i2^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ r^0-r^post6 == 0 /\ -i^post6+i^0 == 0), cost: 1 7: l7 -> l4 : i2^0'=i2^post7, r^0'=r^post7, __const_10^0'=__const_10^post7, i^0'=i^post7, (-i^post7+i^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -r^post7+r^0 == 0 /\ i2^0-i2^post7 == 0), cost: 1 8: l7 -> l5 : i2^0'=i2^post8, r^0'=r^post8, __const_10^0'=__const_10^post8, i^0'=i^post8, (i^0-i^post8 == 0 /\ -__const_10^post8+__const_10^0 == 0 /\ -i2^post8+i2^0 == 0 /\ r^0-r^post8 == 0), cost: 1 9: l8 -> l7 : i2^0'=i2^post9, r^0'=r^post9, __const_10^0'=__const_10^post9, i^0'=i^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ i2^0-i2^post9 == 0 /\ __const_10^0-__const_10^post9 == 0), cost: 1 10: l9 -> l8 : i2^0'=i2^post10, r^0'=r^post10, __const_10^0'=__const_10^post10, i^0'=i^post10, (i2^0-i2^post10 == 0 /\ __const_10^0-__const_10^post10 == 0 /\ -i^post10+i^0 == 0 /\ r^0-r^post10 == 0), cost: 1 11: l9 -> l3 : i2^0'=i2^post11, r^0'=r^post11, __const_10^0'=__const_10^post11, i^0'=i^post11, (-r^post11+r^0 == 0 /\ i2^0-i2^post11 == 0 /\ -__const_10^post11+__const_10^0 == 0 /\ -i^post11+i^0 == 0), cost: 1 12: l9 -> l8 : i2^0'=i2^post12, r^0'=r^post12, __const_10^0'=__const_10^post12, i^0'=i^post12, (-r^post12+r^0 == 0 /\ -__const_10^post12+__const_10^0 == 0 /\ -i^post12+i^0 == 0 /\ i2^0-i2^post12 == 0), cost: 1 13: l10 -> l11 : i2^0'=i2^post13, r^0'=r^post13, __const_10^0'=__const_10^post13, i^0'=i^post13, (__const_10^0-i^0 <= 0 /\ i2^0-i2^post13 == 0 /\ i^0-i^post13 == 0 /\ __const_10^0-__const_10^post13 == 0 /\ r^0-r^post13 == 0), cost: 1 14: l10 -> l9 : i2^0'=i2^post14, r^0'=r^post14, __const_10^0'=__const_10^post14, i^0'=i^post14, (__const_10^0-__const_10^post14 == 0 /\ -i^post14+i^0 == 0 /\ r^0-r^post14 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ i2^0-i2^post14 == 0), cost: 1 15: l12 -> l6 : i2^0'=i2^post15, r^0'=r^post15, __const_10^0'=__const_10^post15, i^0'=i^post15, (-1+i^post15-i^0 == 0 /\ -r^post15+r^0 == 0 /\ -__const_10^post15+__const_10^0 == 0 /\ i2^0-i2^post15 == 0), cost: 1 17: l13 -> l14 : i2^0'=i2^post17, r^0'=r^post17, __const_10^0'=__const_10^post17, i^0'=i^post17, (r^0-r^post17 == 0 /\ i2^0-i2^post17 == 0 /\ i^0-i^post17 == 0 /\ __const_10^0-__const_10^post17 == 0), cost: 1 18: l14 -> l12 : i2^0'=i2^post18, r^0'=r^post18, __const_10^0'=__const_10^post18, i^0'=i^post18, (__const_10^0-__const_10^post18 == 0 /\ r^0-r^post18 == 0 /\ i2^0-i2^post18 == 0 /\ -i^post18+i^0 == 0), cost: 1 19: l15 -> l13 : i2^0'=i2^post19, r^0'=r^post19, __const_10^0'=__const_10^post19, i^0'=i^post19, (i2^0-i2^post19 == 0 /\ __const_10^0-__const_10^post19 == 0 /\ -i^post19+i^0 == 0 /\ r^0-r^post19 == 0), cost: 1 20: l15 -> l13 : i2^0'=i2^post20, r^0'=r^post20, __const_10^0'=__const_10^post20, i^0'=i^post20, (-__const_10^post20+__const_10^0 == 0 /\ -i^post20+i^0 == 0 /\ -r^post20+r^0 == 0 /\ i2^0-i2^post20 == 0), cost: 1 21: l15 -> l14 : i2^0'=i2^post21, r^0'=r^post21, __const_10^0'=__const_10^post21, i^0'=i^post21, (-__const_10^post21+__const_10^0 == 0 /\ -i^post21+i^0 == 0 /\ -r^post21+r^0 == 0 /\ -i2^post21+i2^0 == 0), cost: 1 22: l16 -> l15 : i2^0'=i2^post22, r^0'=r^post22, __const_10^0'=__const_10^post22, i^0'=i^post22, (r^0-r^post22 == 0 /\ -i^post22+i^0 == 0 /\ i2^0-i2^post22 == 0 /\ __const_10^0-__const_10^post22 == 0), cost: 1 26: l17 -> l6 : i2^0'=i2^post26, r^0'=r^post26, __const_10^0'=__const_10^post26, i^0'=i^post26, (i^10 == 0 /\ -r^post26+r^0 == 0 /\ -__const_10^post26+__const_10^0 == 0 /\ i^post26 == 0 /\ i2^0-i2^post26 == 0), cost: 1 27: l18 -> l17 : i2^0'=i2^post27, r^0'=r^post27, __const_10^0'=__const_10^post27, i^0'=i^post27, (r^0-r^post27 == 0 /\ -i^post27+i^0 == 0 /\ i2^0-i2^post27 == 0 /\ __const_10^0-__const_10^post27 == 0), cost: 1 Removed unreachable rules and leafs Start location: l18 0: l0 -> l1 : i2^0'=i2^post0, r^0'=r^post0, __const_10^0'=__const_10^post0, i^0'=i^post0, (__const_10^0-i^0 <= 0 /\ r^0-r^post0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_10^0-__const_10^post0 == 0 /\ i^post0 == 0), cost: 1 1: l0 -> l2 : i2^0'=i2^post1, r^0'=r^post1, __const_10^0'=__const_10^post1, i^0'=i^post1, (__const_10^0-__const_10^post1 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ r^0-r^post1 == 0 /\ -i^post1+i^0 == 0 /\ i2^post1-i^0 == 0), cost: 1 16: l1 -> l10 : i2^0'=i2^post16, r^0'=r^post16, __const_10^0'=__const_10^post16, i^0'=i^post16, (-__const_10^post16+__const_10^0 == 0 /\ -r^post16+r^0 == 0 /\ -i2^post16+i2^0 == 0 /\ -i^post16+i^0 == 0), cost: 1 23: l2 -> l16 : i2^0'=i2^post23, r^0'=r^post23, __const_10^0'=__const_10^post23, i^0'=i^post23, (-i^post23+i^0 == 0 /\ i2^0-i2^post23 == 0 /\ r^0-r^post23 == 0 /\ -__const_10^post23+__const_10^0 == 0), cost: 1 24: l2 -> l12 : i2^0'=i2^post24, r^0'=r^post24, __const_10^0'=__const_10^post24, i^0'=i^post24, (-i^post24+i^0 == 0 /\ -r^post24+r^0 == 0 /\ -__const_10^post24+__const_10^0 == 0 /\ i2^0-i2^post24 == 0), cost: 1 25: l2 -> l16 : i2^0'=i2^post25, r^0'=r^post25, __const_10^0'=__const_10^post25, i^0'=i^post25, (i^0-i^post25 == 0 /\ -i2^post25+i2^0 == 0 /\ r^0-r^post25 == 0 /\ -__const_10^post25+__const_10^0 == 0), cost: 1 2: l3 -> l1 : i2^0'=i2^post2, r^0'=r^post2, __const_10^0'=__const_10^post2, i^0'=i^post2, (-r^post2+r^0 == 0 /\ -1+i^post2-i^0 == 0 /\ i2^0-i2^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0), cost: 1 3: l4 -> l5 : i2^0'=i2^post3, r^0'=r^post3, __const_10^0'=__const_10^post3, i^0'=i^post3, (-__const_10^post3+__const_10^0 == 0 /\ -i^post3+i^0 == 0 /\ -r^post3+r^0 == 0 /\ i2^0-i2^post3 == 0), cost: 1 4: l5 -> l3 : i2^0'=i2^post4, r^0'=r^post4, __const_10^0'=__const_10^post4, i^0'=i^post4, (-__const_10^post4+__const_10^0 == 0 /\ -i^post4+i^0 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0), cost: 1 5: l6 -> l0 : i2^0'=i2^post5, r^0'=r^post5, __const_10^0'=__const_10^post5, i^0'=i^post5, (r^0-r^post5 == 0 /\ i^0-i^post5 == 0 /\ i2^0-i2^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1 6: l7 -> l4 : i2^0'=i2^post6, r^0'=r^post6, __const_10^0'=__const_10^post6, i^0'=i^post6, (i2^0-i2^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ r^0-r^post6 == 0 /\ -i^post6+i^0 == 0), cost: 1 7: l7 -> l4 : i2^0'=i2^post7, r^0'=r^post7, __const_10^0'=__const_10^post7, i^0'=i^post7, (-i^post7+i^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -r^post7+r^0 == 0 /\ i2^0-i2^post7 == 0), cost: 1 8: l7 -> l5 : i2^0'=i2^post8, r^0'=r^post8, __const_10^0'=__const_10^post8, i^0'=i^post8, (i^0-i^post8 == 0 /\ -__const_10^post8+__const_10^0 == 0 /\ -i2^post8+i2^0 == 0 /\ r^0-r^post8 == 0), cost: 1 9: l8 -> l7 : i2^0'=i2^post9, r^0'=r^post9, __const_10^0'=__const_10^post9, i^0'=i^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ i2^0-i2^post9 == 0 /\ __const_10^0-__const_10^post9 == 0), cost: 1 10: l9 -> l8 : i2^0'=i2^post10, r^0'=r^post10, __const_10^0'=__const_10^post10, i^0'=i^post10, (i2^0-i2^post10 == 0 /\ __const_10^0-__const_10^post10 == 0 /\ -i^post10+i^0 == 0 /\ r^0-r^post10 == 0), cost: 1 11: l9 -> l3 : i2^0'=i2^post11, r^0'=r^post11, __const_10^0'=__const_10^post11, i^0'=i^post11, (-r^post11+r^0 == 0 /\ i2^0-i2^post11 == 0 /\ -__const_10^post11+__const_10^0 == 0 /\ -i^post11+i^0 == 0), cost: 1 12: l9 -> l8 : i2^0'=i2^post12, r^0'=r^post12, __const_10^0'=__const_10^post12, i^0'=i^post12, (-r^post12+r^0 == 0 /\ -__const_10^post12+__const_10^0 == 0 /\ -i^post12+i^0 == 0 /\ i2^0-i2^post12 == 0), cost: 1 14: l10 -> l9 : i2^0'=i2^post14, r^0'=r^post14, __const_10^0'=__const_10^post14, i^0'=i^post14, (__const_10^0-__const_10^post14 == 0 /\ -i^post14+i^0 == 0 /\ r^0-r^post14 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ i2^0-i2^post14 == 0), cost: 1 15: l12 -> l6 : i2^0'=i2^post15, r^0'=r^post15, __const_10^0'=__const_10^post15, i^0'=i^post15, (-1+i^post15-i^0 == 0 /\ -r^post15+r^0 == 0 /\ -__const_10^post15+__const_10^0 == 0 /\ i2^0-i2^post15 == 0), cost: 1 17: l13 -> l14 : i2^0'=i2^post17, r^0'=r^post17, __const_10^0'=__const_10^post17, i^0'=i^post17, (r^0-r^post17 == 0 /\ i2^0-i2^post17 == 0 /\ i^0-i^post17 == 0 /\ __const_10^0-__const_10^post17 == 0), cost: 1 18: l14 -> l12 : i2^0'=i2^post18, r^0'=r^post18, __const_10^0'=__const_10^post18, i^0'=i^post18, (__const_10^0-__const_10^post18 == 0 /\ r^0-r^post18 == 0 /\ i2^0-i2^post18 == 0 /\ -i^post18+i^0 == 0), cost: 1 19: l15 -> l13 : i2^0'=i2^post19, r^0'=r^post19, __const_10^0'=__const_10^post19, i^0'=i^post19, (i2^0-i2^post19 == 0 /\ __const_10^0-__const_10^post19 == 0 /\ -i^post19+i^0 == 0 /\ r^0-r^post19 == 0), cost: 1 20: l15 -> l13 : i2^0'=i2^post20, r^0'=r^post20, __const_10^0'=__const_10^post20, i^0'=i^post20, (-__const_10^post20+__const_10^0 == 0 /\ -i^post20+i^0 == 0 /\ -r^post20+r^0 == 0 /\ i2^0-i2^post20 == 0), cost: 1 21: l15 -> l14 : i2^0'=i2^post21, r^0'=r^post21, __const_10^0'=__const_10^post21, i^0'=i^post21, (-__const_10^post21+__const_10^0 == 0 /\ -i^post21+i^0 == 0 /\ -r^post21+r^0 == 0 /\ -i2^post21+i2^0 == 0), cost: 1 22: l16 -> l15 : i2^0'=i2^post22, r^0'=r^post22, __const_10^0'=__const_10^post22, i^0'=i^post22, (r^0-r^post22 == 0 /\ -i^post22+i^0 == 0 /\ i2^0-i2^post22 == 0 /\ __const_10^0-__const_10^post22 == 0), cost: 1 26: l17 -> l6 : i2^0'=i2^post26, r^0'=r^post26, __const_10^0'=__const_10^post26, i^0'=i^post26, (i^10 == 0 /\ -r^post26+r^0 == 0 /\ -__const_10^post26+__const_10^0 == 0 /\ i^post26 == 0 /\ i2^0-i2^post26 == 0), cost: 1 27: l18 -> l17 : i2^0'=i2^post27, r^0'=r^post27, __const_10^0'=__const_10^post27, i^0'=i^post27, (r^0-r^post27 == 0 /\ -i^post27+i^0 == 0 /\ i2^0-i2^post27 == 0 /\ __const_10^0-__const_10^post27 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : i2^0'=i2^post0, r^0'=r^post0, __const_10^0'=__const_10^post0, i^0'=i^post0, (__const_10^0-i^0 <= 0 /\ r^0-r^post0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_10^0-__const_10^post0 == 0 /\ i^post0 == 0), cost: 1 New rule: l0 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : i2^0'=i2^post1, r^0'=r^post1, __const_10^0'=__const_10^post1, i^0'=i^post1, (__const_10^0-__const_10^post1 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ r^0-r^post1 == 0 /\ -i^post1+i^0 == 0 /\ i2^post1-i^0 == 0), cost: 1 New rule: l0 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l1 : i2^0'=i2^post2, r^0'=r^post2, __const_10^0'=__const_10^post2, i^0'=i^post2, (-r^post2+r^0 == 0 /\ -1+i^post2-i^0 == 0 /\ i2^0-i2^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0), cost: 1 New rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l5 : i2^0'=i2^post3, r^0'=r^post3, __const_10^0'=__const_10^post3, i^0'=i^post3, (-__const_10^post3+__const_10^0 == 0 /\ -i^post3+i^0 == 0 /\ -r^post3+r^0 == 0 /\ i2^0-i2^post3 == 0), cost: 1 New rule: l4 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l3 : i2^0'=i2^post4, r^0'=r^post4, __const_10^0'=__const_10^post4, i^0'=i^post4, (-__const_10^post4+__const_10^0 == 0 /\ -i^post4+i^0 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0), cost: 1 New rule: l5 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l0 : i2^0'=i2^post5, r^0'=r^post5, __const_10^0'=__const_10^post5, i^0'=i^post5, (r^0-r^post5 == 0 /\ i^0-i^post5 == 0 /\ i2^0-i2^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1 New rule: l6 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l4 : i2^0'=i2^post6, r^0'=r^post6, __const_10^0'=__const_10^post6, i^0'=i^post6, (i2^0-i2^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ r^0-r^post6 == 0 /\ -i^post6+i^0 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l4 : i2^0'=i2^post7, r^0'=r^post7, __const_10^0'=__const_10^post7, i^0'=i^post7, (-i^post7+i^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -r^post7+r^0 == 0 /\ i2^0-i2^post7 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l5 : i2^0'=i2^post8, r^0'=r^post8, __const_10^0'=__const_10^post8, i^0'=i^post8, (i^0-i^post8 == 0 /\ -__const_10^post8+__const_10^0 == 0 /\ -i2^post8+i2^0 == 0 /\ r^0-r^post8 == 0), cost: 1 New rule: l7 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : i2^0'=i2^post9, r^0'=r^post9, __const_10^0'=__const_10^post9, i^0'=i^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ i2^0-i2^post9 == 0 /\ __const_10^0-__const_10^post9 == 0), cost: 1 New rule: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : i2^0'=i2^post10, r^0'=r^post10, __const_10^0'=__const_10^post10, i^0'=i^post10, (i2^0-i2^post10 == 0 /\ __const_10^0-__const_10^post10 == 0 /\ -i^post10+i^0 == 0 /\ r^0-r^post10 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l3 : i2^0'=i2^post11, r^0'=r^post11, __const_10^0'=__const_10^post11, i^0'=i^post11, (-r^post11+r^0 == 0 /\ i2^0-i2^post11 == 0 /\ -__const_10^post11+__const_10^0 == 0 /\ -i^post11+i^0 == 0), cost: 1 New rule: l9 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l8 : i2^0'=i2^post12, r^0'=r^post12, __const_10^0'=__const_10^post12, i^0'=i^post12, (-r^post12+r^0 == 0 /\ -__const_10^post12+__const_10^0 == 0 /\ -i^post12+i^0 == 0 /\ i2^0-i2^post12 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : i2^0'=i2^post14, r^0'=r^post14, __const_10^0'=__const_10^post14, i^0'=i^post14, (__const_10^0-__const_10^post14 == 0 /\ -i^post14+i^0 == 0 /\ r^0-r^post14 == 0 /\ 1-__const_10^0+i^0 <= 0 /\ i2^0-i2^post14 == 0), cost: 1 New rule: l10 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l6 : i2^0'=i2^post15, r^0'=r^post15, __const_10^0'=__const_10^post15, i^0'=i^post15, (-1+i^post15-i^0 == 0 /\ -r^post15+r^0 == 0 /\ -__const_10^post15+__const_10^0 == 0 /\ i2^0-i2^post15 == 0), cost: 1 New rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : i2^0'=i2^post16, r^0'=r^post16, __const_10^0'=__const_10^post16, i^0'=i^post16, (-__const_10^post16+__const_10^0 == 0 /\ -r^post16+r^0 == 0 /\ -i2^post16+i2^0 == 0 /\ -i^post16+i^0 == 0), cost: 1 New rule: l1 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l13 -> l14 : i2^0'=i2^post17, r^0'=r^post17, __const_10^0'=__const_10^post17, i^0'=i^post17, (r^0-r^post17 == 0 /\ i2^0-i2^post17 == 0 /\ i^0-i^post17 == 0 /\ __const_10^0-__const_10^post17 == 0), cost: 1 New rule: l13 -> l14 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l12 : i2^0'=i2^post18, r^0'=r^post18, __const_10^0'=__const_10^post18, i^0'=i^post18, (__const_10^0-__const_10^post18 == 0 /\ r^0-r^post18 == 0 /\ i2^0-i2^post18 == 0 /\ -i^post18+i^0 == 0), cost: 1 New rule: l14 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l13 : i2^0'=i2^post19, r^0'=r^post19, __const_10^0'=__const_10^post19, i^0'=i^post19, (i2^0-i2^post19 == 0 /\ __const_10^0-__const_10^post19 == 0 /\ -i^post19+i^0 == 0 /\ r^0-r^post19 == 0), cost: 1 New rule: l15 -> l13 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l13 : i2^0'=i2^post20, r^0'=r^post20, __const_10^0'=__const_10^post20, i^0'=i^post20, (-__const_10^post20+__const_10^0 == 0 /\ -i^post20+i^0 == 0 /\ -r^post20+r^0 == 0 /\ i2^0-i2^post20 == 0), cost: 1 New rule: l15 -> l13 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l14 : i2^0'=i2^post21, r^0'=r^post21, __const_10^0'=__const_10^post21, i^0'=i^post21, (-__const_10^post21+__const_10^0 == 0 /\ -i^post21+i^0 == 0 /\ -r^post21+r^0 == 0 /\ -i2^post21+i2^0 == 0), cost: 1 New rule: l15 -> l14 : TRUE, cost: 1 Applied preprocessing Original rule: l16 -> l15 : i2^0'=i2^post22, r^0'=r^post22, __const_10^0'=__const_10^post22, i^0'=i^post22, (r^0-r^post22 == 0 /\ -i^post22+i^0 == 0 /\ i2^0-i2^post22 == 0 /\ __const_10^0-__const_10^post22 == 0), cost: 1 New rule: l16 -> l15 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l16 : i2^0'=i2^post23, r^0'=r^post23, __const_10^0'=__const_10^post23, i^0'=i^post23, (-i^post23+i^0 == 0 /\ i2^0-i2^post23 == 0 /\ r^0-r^post23 == 0 /\ -__const_10^post23+__const_10^0 == 0), cost: 1 New rule: l2 -> l16 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l12 : i2^0'=i2^post24, r^0'=r^post24, __const_10^0'=__const_10^post24, i^0'=i^post24, (-i^post24+i^0 == 0 /\ -r^post24+r^0 == 0 /\ -__const_10^post24+__const_10^0 == 0 /\ i2^0-i2^post24 == 0), cost: 1 New rule: l2 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l16 : i2^0'=i2^post25, r^0'=r^post25, __const_10^0'=__const_10^post25, i^0'=i^post25, (i^0-i^post25 == 0 /\ -i2^post25+i2^0 == 0 /\ r^0-r^post25 == 0 /\ -__const_10^post25+__const_10^0 == 0), cost: 1 New rule: l2 -> l16 : TRUE, cost: 1 Applied preprocessing Original rule: l17 -> l6 : i2^0'=i2^post26, r^0'=r^post26, __const_10^0'=__const_10^post26, i^0'=i^post26, (i^10 == 0 /\ -r^post26+r^0 == 0 /\ -__const_10^post26+__const_10^0 == 0 /\ i^post26 == 0 /\ i2^0-i2^post26 == 0), cost: 1 New rule: l17 -> l6 : i^0'=0, TRUE, cost: 1 Applied preprocessing Original rule: l18 -> l17 : i2^0'=i2^post27, r^0'=r^post27, __const_10^0'=__const_10^post27, i^0'=i^post27, (r^0-r^post27 == 0 /\ -i^post27+i^0 == 0 /\ i2^0-i2^post27 == 0 /\ __const_10^0-__const_10^post27 == 0), cost: 1 New rule: l18 -> l17 : TRUE, cost: 1 Simplified rules Start location: l18 28: l0 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 1 29: l0 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 1 41: l1 -> l10 : TRUE, cost: 1 47: l2 -> l16 : TRUE, cost: 1 48: l2 -> l12 : TRUE, cost: 1 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 31: l4 -> l5 : TRUE, cost: 1 32: l5 -> l3 : TRUE, cost: 1 33: l6 -> l0 : TRUE, cost: 1 34: l7 -> l4 : TRUE, cost: 1 35: l7 -> l5 : TRUE, cost: 1 36: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 37: l9 -> l8 : TRUE, cost: 1 38: l9 -> l3 : TRUE, cost: 1 39: l10 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 1 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 42: l13 -> l14 : TRUE, cost: 1 43: l14 -> l12 : TRUE, cost: 1 44: l15 -> l13 : TRUE, cost: 1 45: l15 -> l14 : TRUE, cost: 1 46: l16 -> l15 : TRUE, cost: 1 49: l17 -> l6 : i^0'=0, TRUE, cost: 1 50: l18 -> l17 : TRUE, cost: 1 Eliminating location l17 by chaining: Applied chaining First rule: l18 -> l17 : TRUE, cost: 1 Second rule: l17 -> l6 : i^0'=0, TRUE, cost: 1 New rule: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied deletion Removed the following rules: 49 50 Eliminating location l10 by chaining: Applied chaining First rule: l1 -> l10 : TRUE, cost: 1 Second rule: l10 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 1 New rule: l1 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 39 41 Eliminating location l8 by chaining: Applied chaining First rule: l9 -> l8 : TRUE, cost: 1 Second rule: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 New rule: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 Applied deletion Removed the following rules: 36 37 Eliminating location l4 by chaining: Applied chaining First rule: l7 -> l4 : TRUE, cost: 1 Second rule: l4 -> l5 : TRUE, cost: 1 New rule: l7 -> l5 : TRUE, cost: 2 Applied deletion Removed the following rules: 31 34 Eliminating location l16 by chaining: Applied chaining First rule: l2 -> l16 : TRUE, cost: 1 Second rule: l16 -> l15 : TRUE, cost: 1 New rule: l2 -> l15 : TRUE, cost: 2 Applied deletion Removed the following rules: 46 47 Eliminating location l13 by chaining: Applied chaining First rule: l15 -> l13 : TRUE, cost: 1 Second rule: l13 -> l14 : TRUE, cost: 1 New rule: l15 -> l14 : TRUE, cost: 2 Applied deletion Removed the following rules: 42 44 Eliminated locations on linear paths Start location: l18 28: l0 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 1 29: l0 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 1 52: l1 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 2 48: l2 -> l12 : TRUE, cost: 1 55: l2 -> l15 : TRUE, cost: 2 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 32: l5 -> l3 : TRUE, cost: 1 33: l6 -> l0 : TRUE, cost: 1 35: l7 -> l5 : TRUE, cost: 1 54: l7 -> l5 : TRUE, cost: 2 38: l9 -> l3 : TRUE, cost: 1 53: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 43: l14 -> l12 : TRUE, cost: 1 45: l15 -> l14 : TRUE, cost: 1 56: l15 -> l14 : TRUE, cost: 2 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l0 by chaining: Applied chaining First rule: l6 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 1 New rule: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 Applied chaining First rule: l6 -> l0 : TRUE, cost: 1 Second rule: l0 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 1 New rule: l6 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 28 29 33 Eliminating location l9 by chaining: Applied chaining First rule: l1 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 2 Second rule: l9 -> l3 : TRUE, cost: 1 New rule: l1 -> l3 : 1-__const_10^0+i^0 <= 0, cost: 3 Applied chaining First rule: l1 -> l9 : 1-__const_10^0+i^0 <= 0, cost: 2 Second rule: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 New rule: l1 -> l7 : r^0'=r^post9, (0 == 0 /\ 1-__const_10^0+i^0 <= 0), cost: 4 Applied simplification Original rule: l1 -> l7 : r^0'=r^post9, (0 == 0 /\ 1-__const_10^0+i^0 <= 0), cost: 4 New rule: l1 -> l7 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 4 Applied deletion Removed the following rules: 38 52 53 Eliminating location l5 by chaining: Applied chaining First rule: l7 -> l5 : TRUE, cost: 1 Second rule: l5 -> l3 : TRUE, cost: 1 New rule: l7 -> l3 : TRUE, cost: 2 Applied chaining First rule: l7 -> l5 : TRUE, cost: 2 Second rule: l5 -> l3 : TRUE, cost: 1 New rule: l7 -> l3 : TRUE, cost: 3 Applied deletion Removed the following rules: 32 35 54 Eliminating location l15 by chaining: Applied chaining First rule: l2 -> l15 : TRUE, cost: 2 Second rule: l15 -> l14 : TRUE, cost: 1 New rule: l2 -> l14 : TRUE, cost: 3 Applied chaining First rule: l2 -> l15 : TRUE, cost: 2 Second rule: l15 -> l14 : TRUE, cost: 2 New rule: l2 -> l14 : TRUE, cost: 4 Applied deletion Removed the following rules: 45 55 56 Eliminated locations on tree-shaped paths Start location: l18 59: l1 -> l3 : 1-__const_10^0+i^0 <= 0, cost: 3 60: l1 -> l7 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 4 48: l2 -> l12 : TRUE, cost: 1 63: l2 -> l14 : TRUE, cost: 3 64: l2 -> l14 : TRUE, cost: 4 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 57: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 58: l6 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 2 61: l7 -> l3 : TRUE, cost: 2 62: l7 -> l3 : TRUE, cost: 3 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 43: l14 -> l12 : TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l2 by chaining: Applied chaining First rule: l6 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 2 Second rule: l2 -> l12 : TRUE, cost: 1 New rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 Applied chaining First rule: l6 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 2 Second rule: l2 -> l14 : TRUE, cost: 3 New rule: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 5 Applied chaining First rule: l6 -> l2 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 2 Second rule: l2 -> l14 : TRUE, cost: 4 New rule: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 Applied deletion Removed the following rules: 48 58 63 64 Eliminating location l7 by chaining: Applied chaining First rule: l1 -> l7 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 4 Second rule: l7 -> l3 : TRUE, cost: 2 New rule: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 6 Applied chaining First rule: l1 -> l7 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 4 Second rule: l7 -> l3 : TRUE, cost: 3 New rule: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 7 Applied deletion Removed the following rules: 60 61 62 Eliminated locations on tree-shaped paths Start location: l18 59: l1 -> l3 : 1-__const_10^0+i^0 <= 0, cost: 3 68: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 6 69: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 7 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 57: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 65: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 66: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 5 67: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 43: l14 -> l12 : TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l14 by chaining: Applied chaining First rule: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 5 Second rule: l14 -> l12 : TRUE, cost: 1 New rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 Applied chaining First rule: l6 -> l14 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 Second rule: l14 -> l12 : TRUE, cost: 1 New rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 Applied deletion Removed the following rules: 43 66 67 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : 1-__const_10^0+i^0 <= 0, cost: 3 Second rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l1 : i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 4 Applied chaining First rule: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 6 Second rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 7 Applied chaining First rule: l1 -> l3 : r^0'=r^post9, 1-__const_10^0+i^0 <= 0, cost: 7 Second rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 Applied deletion Removed the following rules: 30 59 68 69 Eliminated locations on tree-shaped paths Start location: l18 72: l1 -> l1 : i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 4 73: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 7 74: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 57: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 65: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 70: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 71: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied acceleration Original rule: l1 -> l1 : i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 4 New rule: l1 -> l1 : i^0'=i^0+n, (__const_10^0-i^0-n >= 0 /\ n >= 0), cost: 4*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_KnIBcp.txt Applied instantiation Original rule: l1 -> l1 : i^0'=i^0+n, (__const_10^0-i^0-n >= 0 /\ n >= 0), cost: 4*n New rule: l1 -> l1 : i^0'=__const_10^0, (0 >= 0 /\ __const_10^0-i^0 >= 0), cost: 4*__const_10^0-4*i^0 Applied acceleration Original rule: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 7 New rule: l1 -> l1 : r^0'=r^post9, i^0'=n0+i^0, (-1+n0 >= 0 /\ -n0+__const_10^0-i^0 >= 0), cost: 7*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_nODCIc.txt Applied instantiation Original rule: l1 -> l1 : r^0'=r^post9, i^0'=n0+i^0, (-1+n0 >= 0 /\ -n0+__const_10^0-i^0 >= 0), cost: 7*n0 New rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 7*__const_10^0-7*i^0 Applied acceleration Original rule: l1 -> l1 : r^0'=r^post9, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 New rule: l1 -> l1 : r^0'=r^post9, i^0'=i^0+n1, (__const_10^0-i^0-n1 >= 0 /\ -1+n1 >= 0), cost: 8*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_nJbMLO.txt Applied instantiation Original rule: l1 -> l1 : r^0'=r^post9, i^0'=i^0+n1, (__const_10^0-i^0-n1 >= 0 /\ -1+n1 >= 0), cost: 8*n1 New rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 8*__const_10^0-8*i^0 Applied simplification Original rule: l1 -> l1 : i^0'=__const_10^0, (0 >= 0 /\ __const_10^0-i^0 >= 0), cost: 4*__const_10^0-4*i^0 New rule: l1 -> l1 : i^0'=__const_10^0, __const_10^0-i^0 >= 0, cost: 4*__const_10^0-4*i^0 Applied simplification Original rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 7*__const_10^0-7*i^0 New rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 7*__const_10^0-7*i^0 Applied simplification Original rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 8*__const_10^0-8*i^0 New rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 Applied deletion Removed the following rules: 72 73 74 Accelerated simple loops Start location: l18 78: l1 -> l1 : i^0'=__const_10^0, __const_10^0-i^0 >= 0, cost: 4*__const_10^0-4*i^0 79: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 7*__const_10^0-7*i^0 80: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 57: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 65: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 70: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 71: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied chaining First rule: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 Second rule: l1 -> l1 : i^0'=__const_10^0, __const_10^0-i^0 >= 0, cost: 4*__const_10^0-4*i^0 New rule: l6 -> l1 : i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ __const_10^0 >= 0), cost: 2+4*__const_10^0 Applied chaining First rule: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 Second rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 7*__const_10^0-7*i^0 New rule: l6 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ -1+__const_10^0 >= 0), cost: 2+7*__const_10^0 Applied chaining First rule: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 Second rule: l1 -> l1 : r^0'=r^post9, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 New rule: l6 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ -1+__const_10^0 >= 0), cost: 2+8*__const_10^0 Applied deletion Removed the following rules: 78 79 80 Chained accelerated rules with incoming rules Start location: l18 57: l6 -> l1 : i^0'=0, __const_10^0-i^0 <= 0, cost: 2 65: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 70: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 71: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 81: l6 -> l1 : i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ __const_10^0 >= 0), cost: 2+4*__const_10^0 82: l6 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ -1+__const_10^0 >= 0), cost: 2+7*__const_10^0 83: l6 -> l1 : r^0'=r^post9, i^0'=__const_10^0, (__const_10^0-i^0 <= 0 /\ -1+__const_10^0 >= 0), cost: 2+8*__const_10^0 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Removed unreachable locations and irrelevant leafs Start location: l18 65: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 70: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 71: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 40: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l12 by chaining: Applied chaining First rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 3 Second rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 New rule: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 4 Applied chaining First rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 6 Second rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 New rule: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 7 Applied chaining First rule: l6 -> l12 : i2^0'=i^0, 1-__const_10^0+i^0 <= 0, cost: 7 Second rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 New rule: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 Applied deletion Removed the following rules: 40 65 70 71 Eliminated locations on tree-shaped paths Start location: l18 84: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 4 85: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 7 86: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied acceleration Original rule: l6 -> l6 : i2^0'=i^0, i^0'=1+i^0, 1-__const_10^0+i^0 <= 0, cost: 8 New rule: l6 -> l6 : i2^0'=-1+i^0+n14, i^0'=i^0+n14, (-1+n14 >= 0 /\ __const_10^0-i^0-n14 >= 0), cost: 8*n14 Sub-proof via acceration calculus written to file:///tmp/tmpnam_iekIcF.txt Applied instantiation Original rule: l6 -> l6 : i2^0'=-1+i^0+n14, i^0'=i^0+n14, (-1+n14 >= 0 /\ __const_10^0-i^0-n14 >= 0), cost: 8*n14 New rule: l6 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 8*__const_10^0-8*i^0 Applied simplification Original rule: l6 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, (0 >= 0 /\ -1+__const_10^0-i^0 >= 0), cost: 8*__const_10^0-8*i^0 New rule: l6 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 Applied deletion Removed the following rules: 86 Accelerated simple loops Start location: l18 88: l6 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied chaining First rule: l18 -> l6 : i^0'=0, TRUE, cost: 2 Second rule: l6 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, -1+__const_10^0-i^0 >= 0, cost: 8*__const_10^0-8*i^0 New rule: l18 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, -1+__const_10^0 >= 0, cost: 2+8*__const_10^0 Applied deletion Removed the following rules: 88 Chained accelerated rules with incoming rules Start location: l18 51: l18 -> l6 : i^0'=0, TRUE, cost: 2 89: l18 -> l6 : i2^0'=-1+__const_10^0, i^0'=__const_10^0, -1+__const_10^0 >= 0, cost: 2+8*__const_10^0 Removed unreachable locations and irrelevant leafs Start location: l18 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0