WORST_CASE(Omega(0),?)

Initial ITS
Start location: l7
   0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, (-y_17^post0+y_17^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -x_13^post0+x_13^0 == 0 /\ rv_15^0-rv_15^post0 == 0 /\ st_14^0-st_14^post0 == 0 /\ st_16^0-st_16^post0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -nd_12^post0+nd_12^0 == 0), cost: 1
   1: l1 -> l2 : __disjvr_0^0'=__disjvr_0^post1, st_16^0'=st_16^post1, rt_11^0'=rt_11^post1, y_17^0'=y_17^post1, st_14^0'=st_14^post1, nd_12^0'=nd_12^post1, x_13^0'=x_13^post1, rv_15^0'=rv_15^post1, (nd_12^0-nd_12^post1 == 0 /\ -x_13^post1+x_13^0 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -st_14^0+rt_11^post1 == 0 /\ -st_14^post1+st_14^0 == 0 /\ st_16^0-st_16^post1 == 0 /\ x_13^0 <= 0 /\ y_17^0-y_17^post1 == 0 /\ -rv_15^post1+rv_15^0 == 0), cost: 1
   2: l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, (0 == 0 /\ 1-x_13^0 <= 0 /\ 1-y_17^0+y_17^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ rt_11^0-rt_11^post2 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ rv_15^post2 <= 0 /\ -x_13^post2+x_13^0 == 0 /\ 2-y_17^post2 <= 0 /\ -rv_15^post2 <= 0), cost: 1
   4: l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, (0 == 0 /\ -nd_12^11+rv_15^post4 == 0 /\ 1-x_13^0 <= 0 /\ st_14^0-st_14^post4 == 0 /\ y_17^0-y_17^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ rt_11^0-rt_11^post4 == 0 /\ st_16^0-st_16^post4 == 0 /\ -x_13^post4+x_13^0 == 0), cost: 1
   3: l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -rv_15^post3+rv_15^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -nd_12^post3+nd_12^0 == 0 /\ rt_11^0-rt_11^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0 /\ st_14^0-st_14^post3 == 0), cost: 1
   5: l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, (-st_14^post5+st_14^0 == 0 /\ -rv_15^post5+rv_15^0 == 0 /\ y_17^0-y_17^post5 == 0 /\ st_16^0-st_16^post5 == 0 /\ rt_11^0-rt_11^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -x_13^post5+x_13^0 == 0 /\ nd_12^0-nd_12^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1
   6: l6 -> l4 : __disjvr_0^0'=__disjvr_0^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, (0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ st_16^0-st_16^post6 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ y_17^post6-nd_12^12 == 0 /\ 1-x_13^0+x_13^post6 == 0 /\ st_14^0-st_14^post6 == 0), cost: 1
   7: l4 -> l1 : __disjvr_0^0'=__disjvr_0^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, (st_14^0-st_14^post7 == 0 /\ -nd_12^post7+nd_12^0 == 0 /\ -rv_15^post7+rv_15^0 == 0 /\ st_16^0-st_16^post7 == 0 /\ y_17^0-y_17^post7 == 0 /\ rt_11^0-rt_11^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ -x_13^post7+x_13^0 == 0), cost: 1
   8: l7 -> l0 : __disjvr_0^0'=__disjvr_0^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, (y_17^0-y_17^post8 == 0 /\ -rv_15^post8+rv_15^0 == 0 /\ rt_11^0-rt_11^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ st_16^0-st_16^post8 == 0 /\ x_13^0-x_13^post8 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l7
   0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, (-y_17^post0+y_17^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -x_13^post0+x_13^0 == 0 /\ rv_15^0-rv_15^post0 == 0 /\ st_14^0-st_14^post0 == 0 /\ st_16^0-st_16^post0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -nd_12^post0+nd_12^0 == 0), cost: 1
   2: l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, (0 == 0 /\ 1-x_13^0 <= 0 /\ 1-y_17^0+y_17^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ rt_11^0-rt_11^post2 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ rv_15^post2 <= 0 /\ -x_13^post2+x_13^0 == 0 /\ 2-y_17^post2 <= 0 /\ -rv_15^post2 <= 0), cost: 1
   4: l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, (0 == 0 /\ -nd_12^11+rv_15^post4 == 0 /\ 1-x_13^0 <= 0 /\ st_14^0-st_14^post4 == 0 /\ y_17^0-y_17^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ rt_11^0-rt_11^post4 == 0 /\ st_16^0-st_16^post4 == 0 /\ -x_13^post4+x_13^0 == 0), cost: 1
   3: l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -rv_15^post3+rv_15^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -nd_12^post3+nd_12^0 == 0 /\ rt_11^0-rt_11^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0 /\ st_14^0-st_14^post3 == 0), cost: 1
   5: l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, (-st_14^post5+st_14^0 == 0 /\ -rv_15^post5+rv_15^0 == 0 /\ y_17^0-y_17^post5 == 0 /\ st_16^0-st_16^post5 == 0 /\ rt_11^0-rt_11^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -x_13^post5+x_13^0 == 0 /\ nd_12^0-nd_12^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1
   6: l6 -> l4 : __disjvr_0^0'=__disjvr_0^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, (0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ st_16^0-st_16^post6 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ y_17^post6-nd_12^12 == 0 /\ 1-x_13^0+x_13^post6 == 0 /\ st_14^0-st_14^post6 == 0), cost: 1
   7: l4 -> l1 : __disjvr_0^0'=__disjvr_0^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, (st_14^0-st_14^post7 == 0 /\ -nd_12^post7+nd_12^0 == 0 /\ -rv_15^post7+rv_15^0 == 0 /\ st_16^0-st_16^post7 == 0 /\ y_17^0-y_17^post7 == 0 /\ rt_11^0-rt_11^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ -x_13^post7+x_13^0 == 0), cost: 1
   8: l7 -> l0 : __disjvr_0^0'=__disjvr_0^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, (y_17^0-y_17^post8 == 0 /\ -rv_15^post8+rv_15^0 == 0 /\ rt_11^0-rt_11^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ st_16^0-st_16^post8 == 0 /\ x_13^0-x_13^post8 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, (-y_17^post0+y_17^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -x_13^post0+x_13^0 == 0 /\ rv_15^0-rv_15^post0 == 0 /\ st_14^0-st_14^post0 == 0 /\ st_16^0-st_16^post0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -nd_12^post0+nd_12^0 == 0), cost: 1
New rule:
l0 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, (0 == 0 /\ 1-x_13^0 <= 0 /\ 1-y_17^0+y_17^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ rt_11^0-rt_11^post2 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ rv_15^post2 <= 0 /\ -x_13^post2+x_13^0 == 0 /\ 2-y_17^post2 <= 0 /\ -rv_15^post2 <= 0), cost: 1
New rule:
l1 -> l3 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1

Applied preprocessing
Original rule:
l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -rv_15^post3+rv_15^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -nd_12^post3+nd_12^0 == 0 /\ rt_11^0-rt_11^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0 /\ st_14^0-st_14^post3 == 0), cost: 1
New rule:
l3 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, (0 == 0 /\ -nd_12^11+rv_15^post4 == 0 /\ 1-x_13^0 <= 0 /\ st_14^0-st_14^post4 == 0 /\ y_17^0-y_17^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ rt_11^0-rt_11^post4 == 0 /\ st_16^0-st_16^post4 == 0 /\ -x_13^post4+x_13^0 == 0), cost: 1
New rule:
l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, (-st_14^post5+st_14^0 == 0 /\ -rv_15^post5+rv_15^0 == 0 /\ y_17^0-y_17^post5 == 0 /\ st_16^0-st_16^post5 == 0 /\ rt_11^0-rt_11^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -x_13^post5+x_13^0 == 0 /\ nd_12^0-nd_12^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1
New rule:
l5 -> l6 : 0 == 0, cost: 1

Applied preprocessing
Original rule:
l6 -> l4 : __disjvr_0^0'=__disjvr_0^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, (0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ st_16^0-st_16^post6 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ y_17^post6-nd_12^12 == 0 /\ 1-x_13^0+x_13^post6 == 0 /\ st_14^0-st_14^post6 == 0), cost: 1
New rule:
l6 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, 0 == 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l1 : __disjvr_0^0'=__disjvr_0^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, (st_14^0-st_14^post7 == 0 /\ -nd_12^post7+nd_12^0 == 0 /\ -rv_15^post7+rv_15^0 == 0 /\ st_16^0-st_16^post7 == 0 /\ y_17^0-y_17^post7 == 0 /\ rt_11^0-rt_11^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ -x_13^post7+x_13^0 == 0), cost: 1
New rule:
l4 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l7 -> l0 : __disjvr_0^0'=__disjvr_0^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, (y_17^0-y_17^post8 == 0 /\ -rv_15^post8+rv_15^0 == 0 /\ rt_11^0-rt_11^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ st_16^0-st_16^post8 == 0 /\ x_13^0-x_13^post8 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1
New rule:
l7 -> l0 : TRUE, cost: 1

Simplified rules
Start location: l7
   9: l0 -> l1 : TRUE, cost: 1
  10: l1 -> l3 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1
  12: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1
  11: l3 -> l1 : TRUE, cost: 1
  13: l5 -> l6 : 0 == 0, cost: 1
  14: l6 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, 0 == 0, cost: 1
  15: l4 -> l1 : TRUE, cost: 1
  16: l7 -> l0 : TRUE, cost: 1


Eliminating location l0 by chaining:

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 1
Second rule:
l0 -> l1 : TRUE, cost: 1
New rule:
l7 -> l1 : TRUE, cost: 2

Applied deletion
Removed the following rules: 9 16

Eliminating location l3 by chaining:

Applied chaining
First rule:
l1 -> l3 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1
Second rule:
l3 -> l1 : TRUE, cost: 1
New rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2

Applied deletion
Removed the following rules: 10 11

Eliminating location l5 by chaining:

Applied chaining
First rule:
l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1
Second rule:
l5 -> l6 : 0 == 0, cost: 1
New rule:
l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (0 == 0 /\ -1+x_13^0 >= 0), cost: 2

Applied simplification
Original rule:
l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, (0 == 0 /\ -1+x_13^0 >= 0), cost: 2
New rule:
l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 2

Applied deletion
Removed the following rules: 12 13

Eliminating location l6 by chaining:

Applied chaining
First rule:
l1 -> l6 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 2
Second rule:
l6 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, 0 == 0, cost: 1
New rule:
l1 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, (0 == 0 /\ -1+x_13^0 >= 0), cost: 3

Applied simplification
Original rule:
l1 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, (0 == 0 /\ -1+x_13^0 >= 0), cost: 3
New rule:
l1 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 3

Applied deletion
Removed the following rules: 14 19

Eliminating location l4 by chaining:

Applied chaining
First rule:
l1 -> l4 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 3
Second rule:
l4 -> l1 : TRUE, cost: 1
New rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4

Applied deletion
Removed the following rules: 15 20

Eliminated locations on linear paths
Start location: l7
  18: l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2
  21: l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4
  17: l7 -> l1 : TRUE, cost: 2


Applied acceleration
Original rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 2
New rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=y_17^0-n1, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -2+y_17^0-n1 >= 0 /\ -1+n1 >= 0), cost: 2*n1

Applied instantiation
Original rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=y_17^0-n1, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -2+y_17^0-n1 >= 0 /\ -1+n1 >= 0), cost: 2*n1
New rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (0 >= 0 /\ -1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0

Applied acceleration
Original rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-1+x_13^0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4
New rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-n3+x_13^0, rv_15^0'=nd_12^11, (-1+n3 >= 0 /\ -n3+x_13^0 >= 0), cost: 4*n3

Applied instantiation
Original rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=-n3+x_13^0, rv_15^0'=nd_12^11, (-1+n3 >= 0 /\ -n3+x_13^0 >= 0), cost: 4*n3
New rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, (0 >= 0 /\ -1+x_13^0 >= 0), cost: 4*x_13^0

Applied simplification
Original rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (0 >= 0 /\ -1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0
New rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0

Applied simplification
Original rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, (0 >= 0 /\ -1+x_13^0 >= 0), cost: 4*x_13^0
New rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4*x_13^0

Applied deletion
Removed the following rules: 18 21

Accelerated simple loops
Start location: l7
  24: l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0
  25: l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4*x_13^0
  17: l7 -> l1 : TRUE, cost: 2


Applied chaining
First rule:
l7 -> l1 : TRUE, cost: 2
Second rule:
l1 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -4+2*y_17^0
New rule:
l7 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0

Applied chaining
First rule:
l7 -> l1 : TRUE, cost: 2
Second rule:
l1 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 4*x_13^0
New rule:
l7 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 2+4*x_13^0

Applied deletion
Removed the following rules: 24 25

Chained accelerated rules with incoming rules
Start location: l7
  17: l7 -> l1 : TRUE, cost: 2
  26: l7 -> l1 : st_16^0'=st_16^post2, y_17^0'=2, nd_12^0'=nd_12^post2, rv_15^0'=0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: -2+2*y_17^0
  27: l7 -> l1 : y_17^0'=nd_12^12, nd_12^0'=nd_12^post6, x_13^0'=0, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 2+4*x_13^0


Removed unreachable locations and irrelevant leafs
Start location: l7
  <empty>


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0