WORST_CASE(Omega(0),?)

Initial ITS
Start location: l10
   0: l0 -> l1 : i8^0'=i8^post0, i2^0'=i2^post0, i6^0'=i6^post0, __const_999^0'=__const_999^post0, i34^0'=i34^post0, (-i34^post0+i34^0 == 0 /\ i8^0-i8^post0 == 0 /\ __const_999^0-__const_999^post0 == 0 /\ -i2^post0+i2^0 == 0 /\ 1+i34^0 <= 0 /\ i6^0-i6^post0 == 0), cost: 1
   1: l0 -> l2 : i8^0'=i8^post1, i2^0'=i2^post1, i6^0'=i6^post1, __const_999^0'=__const_999^post1, i34^0'=i34^post1, (-__const_999^post1+__const_999^0 == 0 /\ 1+i34^post1-i34^0 == 0 /\ -i6^post1+i6^0 == 0 /\ -i34^0 <= 0 /\ i2^0-i2^post1 == 0 /\ i8^0-i8^post1 == 0), cost: 1
  12: l1 -> l4 : i8^0'=i8^post12, i2^0'=i2^post12, i6^0'=i6^post12, __const_999^0'=__const_999^post12, i34^0'=i34^post12, (i2^0-i2^post12 == 0 /\ i8^0-i8^post12 == 0 /\ i6^post12-__const_999^0 == 0 /\ -__const_999^post12+__const_999^0 == 0 /\ -i34^post12+i34^0 == 0), cost: 1
   5: l2 -> l0 : i8^0'=i8^post5, i2^0'=i2^post5, i6^0'=i6^post5, __const_999^0'=__const_999^post5, i34^0'=i34^post5, (i34^0-i34^post5 == 0 /\ i8^0-i8^post5 == 0 /\ -i6^post5+i6^0 == 0 /\ -__const_999^post5+__const_999^0 == 0 /\ i2^0-i2^post5 == 0), cost: 1
   2: l3 -> l1 : i8^0'=i8^post2, i2^0'=i2^post2, i6^0'=i6^post2, __const_999^0'=__const_999^post2, i34^0'=i34^post2, (i8^0-i8^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -i34^post2+i34^0 == 0 /\ __const_999^0-__const_999^post2 == 0 /\ 1-i2^0 <= 0 /\ i6^0-i6^post2 == 0), cost: 1
   3: l3 -> l1 : i8^0'=i8^post3, i2^0'=i2^post3, i6^0'=i6^post3, __const_999^0'=__const_999^post3, i34^0'=i34^post3, (i8^0-i8^post3 == 0 /\ -i34^post3+i34^0 == 0 /\ 1+i2^0 <= 0 /\ i2^0-i2^post3 == 0 /\ i6^0-i6^post3 == 0 /\ -__const_999^post3+__const_999^0 == 0), cost: 1
   4: l3 -> l2 : i8^0'=i8^post4, i2^0'=i2^post4, i6^0'=i6^post4, __const_999^0'=__const_999^post4, i34^0'=i34^post4, (__const_999^0-__const_999^post4 == 0 /\ i2^0 <= 0 /\ i6^0-i6^post4 == 0 /\ i2^0-i2^post4 == 0 /\ i8^0-i8^post4 == 0 /\ -i2^0 <= 0 /\ i34^post4-__const_999^0 == 0), cost: 1
   6: l4 -> l5 : i8^0'=i8^post6, i2^0'=i2^post6, i6^0'=i6^post6, __const_999^0'=__const_999^post6, i34^0'=i34^post6, (-i34^post6+i34^0 == 0 /\ i6^0-i6^post6 == 0 /\ i8^0-i8^post6 == 0 /\ -__const_999^post6+__const_999^0 == 0 /\ i2^0-i2^post6 == 0), cost: 1
  10: l5 -> l8 : i8^0'=i8^post10, i2^0'=i2^post10, i6^0'=i6^post10, __const_999^0'=__const_999^post10, i34^0'=i34^post10, (i8^post10-__const_999^0 == 0 /\ -__const_999^post10+__const_999^0 == 0 /\ i6^0-i6^post10 == 0 /\ i2^0-i2^post10 == 0 /\ -i34^post10+i34^0 == 0 /\ 1+i6^0 <= 0), cost: 1
  11: l5 -> l4 : i8^0'=i8^post11, i2^0'=i2^post11, i6^0'=i6^post11, __const_999^0'=__const_999^post11, i34^0'=i34^post11, (-i2^post11+i2^0 == 0 /\ -i34^post11+i34^0 == 0 /\ -i6^0 <= 0 /\ __const_999^0-__const_999^post11 == 0 /\ 1-i6^0+i6^post11 == 0 /\ i8^0-i8^post11 == 0), cost: 1
   7: l6 -> l7 : i8^0'=i8^post7, i2^0'=i2^post7, i6^0'=i6^post7, __const_999^0'=__const_999^post7, i34^0'=i34^post7, (1+i8^0 <= 0 /\ -i6^post7+i6^0 == 0 /\ i34^0-i34^post7 == 0 /\ __const_999^0-__const_999^post7 == 0 /\ i2^0-i2^post7 == 0 /\ i8^0-i8^post7 == 0), cost: 1
   8: l6 -> l8 : i8^0'=i8^post8, i2^0'=i2^post8, i6^0'=i6^post8, __const_999^0'=__const_999^post8, i34^0'=i34^post8, (-i34^post8+i34^0 == 0 /\ i6^0-i6^post8 == 0 /\ -__const_999^post8+__const_999^0 == 0 /\ 1-i8^0+i8^post8 == 0 /\ -i8^0 <= 0 /\ i2^0-i2^post8 == 0), cost: 1
   9: l8 -> l6 : i8^0'=i8^post9, i2^0'=i2^post9, i6^0'=i6^post9, __const_999^0'=__const_999^post9, i34^0'=i34^post9, (-i6^post9+i6^0 == 0 /\ i34^0-i34^post9 == 0 /\ __const_999^0-__const_999^post9 == 0 /\ i2^0-i2^post9 == 0 /\ i8^0-i8^post9 == 0), cost: 1
  13: l9 -> l3 : i8^0'=i8^post13, i2^0'=i2^post13, i6^0'=i6^post13, __const_999^0'=__const_999^post13, i34^0'=i34^post13, (__const_999^0-__const_999^post13 == 0 /\ i6^0-i6^post13 == 0 /\ i8^0-i8^post13 == 0 /\ -1+i2^post13 == 0 /\ -i34^post13+i34^0 == 0), cost: 1
  14: l10 -> l9 : i8^0'=i8^post14, i2^0'=i2^post14, i6^0'=i6^post14, __const_999^0'=__const_999^post14, i34^0'=i34^post14, (-i34^post14+i34^0 == 0 /\ i8^0-i8^post14 == 0 /\ i2^0-i2^post14 == 0 /\ i6^0-i6^post14 == 0 /\ -__const_999^post14+__const_999^0 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l10
   0: l0 -> l1 : i8^0'=i8^post0, i2^0'=i2^post0, i6^0'=i6^post0, __const_999^0'=__const_999^post0, i34^0'=i34^post0, (-i34^post0+i34^0 == 0 /\ i8^0-i8^post0 == 0 /\ __const_999^0-__const_999^post0 == 0 /\ -i2^post0+i2^0 == 0 /\ 1+i34^0 <= 0 /\ i6^0-i6^post0 == 0), cost: 1
   1: l0 -> l2 : i8^0'=i8^post1, i2^0'=i2^post1, i6^0'=i6^post1, __const_999^0'=__const_999^post1, i34^0'=i34^post1, (-__const_999^post1+__const_999^0 == 0 /\ 1+i34^post1-i34^0 == 0 /\ -i6^post1+i6^0 == 0 /\ -i34^0 <= 0 /\ i2^0-i2^post1 == 0 /\ i8^0-i8^post1 == 0), cost: 1
  12: l1 -> l4 : i8^0'=i8^post12, i2^0'=i2^post12, i6^0'=i6^post12, __const_999^0'=__const_999^post12, i34^0'=i34^post12, (i2^0-i2^post12 == 0 /\ i8^0-i8^post12 == 0 /\ i6^post12-__const_999^0 == 0 /\ -__const_999^post12+__const_999^0 == 0 /\ -i34^post12+i34^0 == 0), cost: 1
   5: l2 -> l0 : i8^0'=i8^post5, i2^0'=i2^post5, i6^0'=i6^post5, __const_999^0'=__const_999^post5, i34^0'=i34^post5, (i34^0-i34^post5 == 0 /\ i8^0-i8^post5 == 0 /\ -i6^post5+i6^0 == 0 /\ -__const_999^post5+__const_999^0 == 0 /\ i2^0-i2^post5 == 0), cost: 1
   2: l3 -> l1 : i8^0'=i8^post2, i2^0'=i2^post2, i6^0'=i6^post2, __const_999^0'=__const_999^post2, i34^0'=i34^post2, (i8^0-i8^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -i34^post2+i34^0 == 0 /\ __const_999^0-__const_999^post2 == 0 /\ 1-i2^0 <= 0 /\ i6^0-i6^post2 == 0), cost: 1
   3: l3 -> l1 : i8^0'=i8^post3, i2^0'=i2^post3, i6^0'=i6^post3, __const_999^0'=__const_999^post3, i34^0'=i34^post3, (i8^0-i8^post3 == 0 /\ -i34^post3+i34^0 == 0 /\ 1+i2^0 <= 0 /\ i2^0-i2^post3 == 0 /\ i6^0-i6^post3 == 0 /\ -__const_999^post3+__const_999^0 == 0), cost: 1
   4: l3 -> l2 : i8^0'=i8^post4, i2^0'=i2^post4, i6^0'=i6^post4, __const_999^0'=__const_999^post4, i34^0'=i34^post4, (__const_999^0-__const_999^post4 == 0 /\ i2^0 <= 0 /\ i6^0-i6^post4 == 0 /\ i2^0-i2^post4 == 0 /\ i8^0-i8^post4 == 0 /\ -i2^0 <= 0 /\ i34^post4-__const_999^0 == 0), cost: 1
   6: l4 -> l5 : i8^0'=i8^post6, i2^0'=i2^post6, i6^0'=i6^post6, __const_999^0'=__const_999^post6, i34^0'=i34^post6, (-i34^post6+i34^0 == 0 /\ i6^0-i6^post6 == 0 /\ i8^0-i8^post6 == 0 /\ -__const_999^post6+__const_999^0 == 0 /\ i2^0-i2^post6 == 0), cost: 1
  10: l5 -> l8 : i8^0'=i8^post10, i2^0'=i2^post10, i6^0'=i6^post10, __const_999^0'=__const_999^post10, i34^0'=i34^post10, (i8^post10-__const_999^0 == 0 /\ -__const_999^post10+__const_999^0 == 0 /\ i6^0-i6^post10 == 0 /\ i2^0-i2^post10 == 0 /\ -i34^post10+i34^0 == 0 /\ 1+i6^0 <= 0), cost: 1
  11: l5 -> l4 : i8^0'=i8^post11, i2^0'=i2^post11, i6^0'=i6^post11, __const_999^0'=__const_999^post11, i34^0'=i34^post11, (-i2^post11+i2^0 == 0 /\ -i34^post11+i34^0 == 0 /\ -i6^0 <= 0 /\ __const_999^0-__const_999^post11 == 0 /\ 1-i6^0+i6^post11 == 0 /\ i8^0-i8^post11 == 0), cost: 1
   8: l6 -> l8 : i8^0'=i8^post8, i2^0'=i2^post8, i6^0'=i6^post8, __const_999^0'=__const_999^post8, i34^0'=i34^post8, (-i34^post8+i34^0 == 0 /\ i6^0-i6^post8 == 0 /\ -__const_999^post8+__const_999^0 == 0 /\ 1-i8^0+i8^post8 == 0 /\ -i8^0 <= 0 /\ i2^0-i2^post8 == 0), cost: 1
   9: l8 -> l6 : i8^0'=i8^post9, i2^0'=i2^post9, i6^0'=i6^post9, __const_999^0'=__const_999^post9, i34^0'=i34^post9, (-i6^post9+i6^0 == 0 /\ i34^0-i34^post9 == 0 /\ __const_999^0-__const_999^post9 == 0 /\ i2^0-i2^post9 == 0 /\ i8^0-i8^post9 == 0), cost: 1
  13: l9 -> l3 : i8^0'=i8^post13, i2^0'=i2^post13, i6^0'=i6^post13, __const_999^0'=__const_999^post13, i34^0'=i34^post13, (__const_999^0-__const_999^post13 == 0 /\ i6^0-i6^post13 == 0 /\ i8^0-i8^post13 == 0 /\ -1+i2^post13 == 0 /\ -i34^post13+i34^0 == 0), cost: 1
  14: l10 -> l9 : i8^0'=i8^post14, i2^0'=i2^post14, i6^0'=i6^post14, __const_999^0'=__const_999^post14, i34^0'=i34^post14, (-i34^post14+i34^0 == 0 /\ i8^0-i8^post14 == 0 /\ i2^0-i2^post14 == 0 /\ i6^0-i6^post14 == 0 /\ -__const_999^post14+__const_999^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : i8^0'=i8^post0, i2^0'=i2^post0, i6^0'=i6^post0, __const_999^0'=__const_999^post0, i34^0'=i34^post0, (-i34^post0+i34^0 == 0 /\ i8^0-i8^post0 == 0 /\ __const_999^0-__const_999^post0 == 0 /\ -i2^post0+i2^0 == 0 /\ 1+i34^0 <= 0 /\ i6^0-i6^post0 == 0), cost: 1
New rule:
l0 -> l1 : 1+i34^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l0 -> l2 : i8^0'=i8^post1, i2^0'=i2^post1, i6^0'=i6^post1, __const_999^0'=__const_999^post1, i34^0'=i34^post1, (-__const_999^post1+__const_999^0 == 0 /\ 1+i34^post1-i34^0 == 0 /\ -i6^post1+i6^0 == 0 /\ -i34^0 <= 0 /\ i2^0-i2^post1 == 0 /\ i8^0-i8^post1 == 0), cost: 1
New rule:
l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l1 : i8^0'=i8^post2, i2^0'=i2^post2, i6^0'=i6^post2, __const_999^0'=__const_999^post2, i34^0'=i34^post2, (i8^0-i8^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -i34^post2+i34^0 == 0 /\ __const_999^0-__const_999^post2 == 0 /\ 1-i2^0 <= 0 /\ i6^0-i6^post2 == 0), cost: 1
New rule:
l3 -> l1 : -1+i2^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l1 : i8^0'=i8^post3, i2^0'=i2^post3, i6^0'=i6^post3, __const_999^0'=__const_999^post3, i34^0'=i34^post3, (i8^0-i8^post3 == 0 /\ -i34^post3+i34^0 == 0 /\ 1+i2^0 <= 0 /\ i2^0-i2^post3 == 0 /\ i6^0-i6^post3 == 0 /\ -__const_999^post3+__const_999^0 == 0), cost: 1
New rule:
l3 -> l1 : 1+i2^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l2 : i8^0'=i8^post4, i2^0'=i2^post4, i6^0'=i6^post4, __const_999^0'=__const_999^post4, i34^0'=i34^post4, (__const_999^0-__const_999^post4 == 0 /\ i2^0 <= 0 /\ i6^0-i6^post4 == 0 /\ i2^0-i2^post4 == 0 /\ i8^0-i8^post4 == 0 /\ -i2^0 <= 0 /\ i34^post4-__const_999^0 == 0), cost: 1
New rule:
l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : i8^0'=i8^post5, i2^0'=i2^post5, i6^0'=i6^post5, __const_999^0'=__const_999^post5, i34^0'=i34^post5, (i34^0-i34^post5 == 0 /\ i8^0-i8^post5 == 0 /\ -i6^post5+i6^0 == 0 /\ -__const_999^post5+__const_999^0 == 0 /\ i2^0-i2^post5 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l5 : i8^0'=i8^post6, i2^0'=i2^post6, i6^0'=i6^post6, __const_999^0'=__const_999^post6, i34^0'=i34^post6, (-i34^post6+i34^0 == 0 /\ i6^0-i6^post6 == 0 /\ i8^0-i8^post6 == 0 /\ -__const_999^post6+__const_999^0 == 0 /\ i2^0-i2^post6 == 0), cost: 1
New rule:
l4 -> l5 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l8 : i8^0'=i8^post8, i2^0'=i2^post8, i6^0'=i6^post8, __const_999^0'=__const_999^post8, i34^0'=i34^post8, (-i34^post8+i34^0 == 0 /\ i6^0-i6^post8 == 0 /\ -__const_999^post8+__const_999^0 == 0 /\ 1-i8^0+i8^post8 == 0 /\ -i8^0 <= 0 /\ i2^0-i2^post8 == 0), cost: 1
New rule:
l6 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l8 -> l6 : i8^0'=i8^post9, i2^0'=i2^post9, i6^0'=i6^post9, __const_999^0'=__const_999^post9, i34^0'=i34^post9, (-i6^post9+i6^0 == 0 /\ i34^0-i34^post9 == 0 /\ __const_999^0-__const_999^post9 == 0 /\ i2^0-i2^post9 == 0 /\ i8^0-i8^post9 == 0), cost: 1
New rule:
l8 -> l6 : TRUE, cost: 1

Applied preprocessing
Original rule:
l5 -> l8 : i8^0'=i8^post10, i2^0'=i2^post10, i6^0'=i6^post10, __const_999^0'=__const_999^post10, i34^0'=i34^post10, (i8^post10-__const_999^0 == 0 /\ -__const_999^post10+__const_999^0 == 0 /\ i6^0-i6^post10 == 0 /\ i2^0-i2^post10 == 0 /\ -i34^post10+i34^0 == 0 /\ 1+i6^0 <= 0), cost: 1
New rule:
l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l4 : i8^0'=i8^post11, i2^0'=i2^post11, i6^0'=i6^post11, __const_999^0'=__const_999^post11, i34^0'=i34^post11, (-i2^post11+i2^0 == 0 /\ -i34^post11+i34^0 == 0 /\ -i6^0 <= 0 /\ __const_999^0-__const_999^post11 == 0 /\ 1-i6^0+i6^post11 == 0 /\ i8^0-i8^post11 == 0), cost: 1
New rule:
l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l4 : i8^0'=i8^post12, i2^0'=i2^post12, i6^0'=i6^post12, __const_999^0'=__const_999^post12, i34^0'=i34^post12, (i2^0-i2^post12 == 0 /\ i8^0-i8^post12 == 0 /\ i6^post12-__const_999^0 == 0 /\ -__const_999^post12+__const_999^0 == 0 /\ -i34^post12+i34^0 == 0), cost: 1
New rule:
l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l9 -> l3 : i8^0'=i8^post13, i2^0'=i2^post13, i6^0'=i6^post13, __const_999^0'=__const_999^post13, i34^0'=i34^post13, (__const_999^0-__const_999^post13 == 0 /\ i6^0-i6^post13 == 0 /\ i8^0-i8^post13 == 0 /\ -1+i2^post13 == 0 /\ -i34^post13+i34^0 == 0), cost: 1
New rule:
l9 -> l3 : i2^0'=1, TRUE, cost: 1

Applied preprocessing
Original rule:
l10 -> l9 : i8^0'=i8^post14, i2^0'=i2^post14, i6^0'=i6^post14, __const_999^0'=__const_999^post14, i34^0'=i34^post14, (-i34^post14+i34^0 == 0 /\ i8^0-i8^post14 == 0 /\ i2^0-i2^post14 == 0 /\ i6^0-i6^post14 == 0 /\ -__const_999^post14+__const_999^0 == 0), cost: 1
New rule:
l10 -> l9 : TRUE, cost: 1

Simplified rules
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  21: l4 -> l5 : TRUE, cost: 1
  24: l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1
  25: l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
  22: l6 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 1
  23: l8 -> l6 : TRUE, cost: 1
  27: l9 -> l3 : i2^0'=1, TRUE, cost: 1
  28: l10 -> l9 : TRUE, cost: 1


Eliminating location l9 by chaining:

Applied chaining
First rule:
l10 -> l9 : TRUE, cost: 1
Second rule:
l9 -> l3 : i2^0'=1, TRUE, cost: 1
New rule:
l10 -> l3 : i2^0'=1, TRUE, cost: 2

Applied deletion
Removed the following rules: 27 28

Eliminating location l6 by chaining:

Applied chaining
First rule:
l8 -> l6 : TRUE, cost: 1
Second rule:
l6 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 1
New rule:
l8 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 2

Applied deletion
Removed the following rules: 22 23

Eliminated locations on linear paths
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  21: l4 -> l5 : TRUE, cost: 1
  24: l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1
  25: l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
  30: l8 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 2
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Applied acceleration
Original rule:
l8 -> l8 : i8^0'=-1+i8^0, i8^0 >= 0, cost: 2
New rule:
l8 -> l8 : i8^0'=i8^0-n, (1+i8^0-n >= 0 /\ n >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_GeiGIm.txt

Applied instantiation
Original rule:
l8 -> l8 : i8^0'=i8^0-n, (1+i8^0-n >= 0 /\ n >= 0), cost: 2*n
New rule:
l8 -> l8 : i8^0'=-1, (0 >= 0 /\ 1+i8^0 >= 0), cost: 2+2*i8^0

Applied simplification
Original rule:
l8 -> l8 : i8^0'=-1, (0 >= 0 /\ 1+i8^0 >= 0), cost: 2+2*i8^0
New rule:
l8 -> l8 : i8^0'=-1, 1+i8^0 >= 0, cost: 2+2*i8^0

Applied deletion
Removed the following rules: 30

Accelerated simple loops
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  21: l4 -> l5 : TRUE, cost: 1
  24: l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1
  25: l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
  32: l8 -> l8 : i8^0'=-1, 1+i8^0 >= 0, cost: 2+2*i8^0
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Applied chaining
First rule:
l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1
Second rule:
l8 -> l8 : i8^0'=-1, 1+i8^0 >= 0, cost: 2+2*i8^0
New rule:
l5 -> l8 : i8^0'=-1, (1+__const_999^0 >= 0 /\ 1+i6^0 <= 0), cost: 3+2*__const_999^0

Applied deletion
Removed the following rules: 32

Chained accelerated rules with incoming rules
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  21: l4 -> l5 : TRUE, cost: 1
  24: l5 -> l8 : i8^0'=__const_999^0, 1+i6^0 <= 0, cost: 1
  25: l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
  33: l5 -> l8 : i8^0'=-1, (1+__const_999^0 >= 0 /\ 1+i6^0 <= 0), cost: 3+2*__const_999^0
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Removed unreachable locations and irrelevant leafs
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  21: l4 -> l5 : TRUE, cost: 1
  25: l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Eliminating location l5 by chaining:

Applied chaining
First rule:
l4 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 1
New rule:
l4 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 2

Applied deletion
Removed the following rules: 21 25

Eliminated locations on linear paths
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  34: l4 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 2
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Applied acceleration
Original rule:
l4 -> l4 : i6^0'=-1+i6^0, i6^0 >= 0, cost: 2
New rule:
l4 -> l4 : i6^0'=-n0+i6^0, (n0 >= 0 /\ 1-n0+i6^0 >= 0), cost: 2*n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_NkGoOI.txt

Applied instantiation
Original rule:
l4 -> l4 : i6^0'=-n0+i6^0, (n0 >= 0 /\ 1-n0+i6^0 >= 0), cost: 2*n0
New rule:
l4 -> l4 : i6^0'=-1, (0 >= 0 /\ 1+i6^0 >= 0), cost: 2+2*i6^0

Applied simplification
Original rule:
l4 -> l4 : i6^0'=-1, (0 >= 0 /\ 1+i6^0 >= 0), cost: 2+2*i6^0
New rule:
l4 -> l4 : i6^0'=-1, 1+i6^0 >= 0, cost: 2+2*i6^0

Applied deletion
Removed the following rules: 34

Accelerated simple loops
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  36: l4 -> l4 : i6^0'=-1, 1+i6^0 >= 0, cost: 2+2*i6^0
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Applied chaining
First rule:
l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
Second rule:
l4 -> l4 : i6^0'=-1, 1+i6^0 >= 0, cost: 2+2*i6^0
New rule:
l1 -> l4 : i6^0'=-1, 1+__const_999^0 >= 0, cost: 3+2*__const_999^0

Applied deletion
Removed the following rules: 36

Chained accelerated rules with incoming rules
Start location: l10
  15: l0 -> l1 : 1+i34^0 <= 0, cost: 1
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  26: l1 -> l4 : i6^0'=__const_999^0, TRUE, cost: 1
  37: l1 -> l4 : i6^0'=-1, 1+__const_999^0 >= 0, cost: 3+2*__const_999^0
  20: l2 -> l0 : TRUE, cost: 1
  17: l3 -> l1 : -1+i2^0 >= 0, cost: 1
  18: l3 -> l1 : 1+i2^0 <= 0, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Removed unreachable locations and irrelevant leafs
Start location: l10
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  20: l2 -> l0 : TRUE, cost: 1
  19: l3 -> l2 : i34^0'=__const_999^0, i2^0 == 0, cost: 1
  29: l10 -> l3 : i2^0'=1, TRUE, cost: 2


Eliminating location l3 by chaining:

Applied deletion
Removed the following rules: 19 29

Eliminated locations on linear paths
Start location: l10
  16: l0 -> l2 : i34^0'=-1+i34^0, i34^0 >= 0, cost: 1
  20: l2 -> l0 : TRUE, cost: 1


Removed unreachable locations and irrelevant leafs
Start location: l10
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0