WORST_CASE(Omega(0),?)

Initial ITS
Start location: l7
   0: l0 -> l1 : y_6^0'=y_6^post0, __disjvr_0^0'=__disjvr_0^post0, x_5^0'=x_5^post0, Result_4^0'=Result_4^post0, tmp_7^0'=tmp_7^post0, (0 == 0 /\ -tmp_7^post0+tmp_7^0 == 0 /\ y_6^0-y_6^post0 == 0 /\ -__disjvr_0^post0+__disjvr_0^0 == 0 /\ y_6^0-x_5^0 <= 0 /\ x_5^0-x_5^post0 == 0), cost: 1
   1: l0 -> l2 : y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+y_6^post1 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0), cost: 1
   3: l0 -> l4 : y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, (0 == 0 /\ y_6^0-y_6^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1
   2: l2 -> l0 : y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, (y_6^0-y_6^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -tmp_7^post2+tmp_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_5^0-x_5^post2 == 0), cost: 1
   4: l4 -> l5 : y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, (-__disjvr_0^0+__disjvr_0^post4 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ x_5^0-x_5^post4 == 0 /\ -tmp_7^post4+tmp_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ y_6^0-y_6^post4 == 0), cost: 1
   5: l5 -> l3 : y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, (tmp_7^0-tmp_7^post5 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
   6: l3 -> l0 : y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, (-tmp_7^post6+tmp_7^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1
   7: l6 -> l0 : y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, (-x_5^post7+x_5^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ y_6^0-y_6^post7 == 0), cost: 1
   8: l7 -> l6 : y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, (-tmp_7^post8+tmp_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ y_6^0-y_6^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l7
   1: l0 -> l2 : y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+y_6^post1 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0), cost: 1
   3: l0 -> l4 : y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, (0 == 0 /\ y_6^0-y_6^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1
   2: l2 -> l0 : y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, (y_6^0-y_6^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -tmp_7^post2+tmp_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_5^0-x_5^post2 == 0), cost: 1
   4: l4 -> l5 : y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, (-__disjvr_0^0+__disjvr_0^post4 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ x_5^0-x_5^post4 == 0 /\ -tmp_7^post4+tmp_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ y_6^0-y_6^post4 == 0), cost: 1
   5: l5 -> l3 : y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, (tmp_7^0-tmp_7^post5 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
   6: l3 -> l0 : y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, (-tmp_7^post6+tmp_7^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1
   7: l6 -> l0 : y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, (-x_5^post7+x_5^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ y_6^0-y_6^post7 == 0), cost: 1
   8: l7 -> l6 : y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, (-tmp_7^post8+tmp_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ y_6^0-y_6^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l2 : y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+y_6^post1 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0), cost: 1
New rule:
l0 -> l2 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, (y_6^0-y_6^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -tmp_7^post2+tmp_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_5^0-x_5^post2 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l0 -> l4 : y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, (0 == 0 /\ y_6^0-y_6^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1
New rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l5 : y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, (-__disjvr_0^0+__disjvr_0^post4 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ x_5^0-x_5^post4 == 0 /\ -tmp_7^post4+tmp_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ y_6^0-y_6^post4 == 0), cost: 1
New rule:
l4 -> l5 : 0 == 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l3 : y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, (tmp_7^0-tmp_7^post5 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
New rule:
l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, (-tmp_7^post6+tmp_7^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1
New rule:
l3 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l0 : y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, (-x_5^post7+x_5^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ y_6^0-y_6^post7 == 0), cost: 1
New rule:
l6 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l7 -> l6 : y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, (-tmp_7^post8+tmp_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ y_6^0-y_6^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1
New rule:
l7 -> l6 : TRUE, cost: 1

Simplified rules
Start location: l7
   9: l0 -> l2 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1
  11: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
  10: l2 -> l0 : TRUE, cost: 1
  12: l4 -> l5 : 0 == 0, cost: 1
  13: l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1
  14: l3 -> l0 : TRUE, cost: 1
  15: l6 -> l0 : TRUE, cost: 1
  16: l7 -> l6 : TRUE, cost: 1


Eliminating location l6 by chaining:

Applied chaining
First rule:
l7 -> l6 : TRUE, cost: 1
Second rule:
l6 -> l0 : TRUE, cost: 1
New rule:
l7 -> l0 : TRUE, cost: 2

Applied deletion
Removed the following rules: 15 16

Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 9 10

Eliminating location l4 by chaining:

Applied chaining
First rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
Second rule:
l4 -> l5 : 0 == 0, cost: 1
New rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2

Applied simplification
Original rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
New rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 11 12

Eliminating location l5 by chaining:

Applied chaining
First rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 2
Second rule:
l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1
New rule:
l0 -> l3 : x_5^0'=1+x_5^0, tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 3

Applied deletion
Removed the following rules: 13 19

Eliminating location l3 by chaining:

Applied chaining
First rule:
l0 -> l3 : x_5^0'=1+x_5^0, tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 3
Second rule:
l3 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : x_5^0'=1+x_5^0, tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 4

Applied deletion
Removed the following rules: 14 20

Eliminated locations on linear paths
Start location: l7
  18: l0 -> l0 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2
  21: l0 -> l0 : x_5^0'=1+x_5^0, tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 4
  17: l7 -> l0 : TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : y_6^0'=-1+y_6^0, tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2
New rule:
l0 -> l0 : y_6^0'=y_6^0-n, tmp_7^0'=0, (y_6^0-x_5^0-n >= 0 /\ -1+n >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_lFHDbK.txt

Applied instantiation
Original rule:
l0 -> l0 : y_6^0'=y_6^0-n, tmp_7^0'=0, (y_6^0-x_5^0-n >= 0 /\ -1+n >= 0), cost: 2*n
New rule:
l0 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0

Applied acceleration
Original rule:
l0 -> l0 : x_5^0'=1+x_5^0, tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 4
New rule:
l0 -> l0 : x_5^0'=x_5^0+n0, tmp_7^0'=tmp_7^post3, (-1+n0 >= 0 /\ y_6^0-x_5^0-n0 >= 0), cost: 4*n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_bBmgia.txt

Applied instantiation
Original rule:
l0 -> l0 : x_5^0'=x_5^0+n0, tmp_7^0'=tmp_7^post3, (-1+n0 >= 0 /\ y_6^0-x_5^0-n0 >= 0), cost: 4*n0
New rule:
l0 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0

Applied simplification
Original rule:
l0 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0
New rule:
l0 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, -1+y_6^0-x_5^0 >= 0, cost: 2*y_6^0-2*x_5^0

Applied simplification
Original rule:
l0 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0
New rule:
l0 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0

Applied deletion
Removed the following rules: 18 21

Accelerated simple loops
Start location: l7
  24: l0 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, -1+y_6^0-x_5^0 >= 0, cost: 2*y_6^0-2*x_5^0
  25: l0 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0
  17: l7 -> l0 : TRUE, cost: 2


Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, -1+y_6^0-x_5^0 >= 0, cost: 2*y_6^0-2*x_5^0
New rule:
l7 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, -1+y_6^0-x_5^0 >= 0, cost: 2+2*y_6^0-2*x_5^0

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0
New rule:
l7 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, -1+y_6^0-x_5^0 >= 0, cost: 2+4*y_6^0-4*x_5^0

Applied deletion
Removed the following rules: 24 25

Chained accelerated rules with incoming rules
Start location: l7
  17: l7 -> l0 : TRUE, cost: 2
  26: l7 -> l0 : y_6^0'=x_5^0, tmp_7^0'=0, -1+y_6^0-x_5^0 >= 0, cost: 2+2*y_6^0-2*x_5^0
  27: l7 -> l0 : x_5^0'=y_6^0, tmp_7^0'=tmp_7^post3, -1+y_6^0-x_5^0 >= 0, cost: 2+4*y_6^0-4*x_5^0


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