WORST_CASE(Omega(0),?)

Initial ITS
Start location: l4
   0: l0 -> l1 : __const_9^0'=__const_9^post0, __cil_tmp4_8^0'=__cil_tmp4_8^post0, i_5^0'=i_5^post0, __const_101^0'=__const_101^post0, Result_4^0'=Result_4^post0, __retres3_7^0'=__retres3_7^post0, __const_1000^0'=__const_1000^post0, x_6^0'=x_6^post0, (-x_6^post0+x_6^0 == 0 /\ -__const_1000^post0+__const_1000^0 == 0 /\ __cil_tmp4_8^post0-__retres3_7^post0 == 0 /\ __const_9^0-__const_9^post0 == 0 /\ 1+__const_9^0-x_6^0 <= 0 /\ -__const_101^post0+__const_101^0 == 0 /\ i_5^0-i_5^post0 == 0 /\ -__cil_tmp4_8^post0+Result_4^post0 == 0 /\ __retres3_7^post0 == 0), cost: 1
   1: l0 -> l1 : __const_9^0'=__const_9^post1, __cil_tmp4_8^0'=__cil_tmp4_8^post1, i_5^0'=i_5^post1, __const_101^0'=__const_101^post1, Result_4^0'=Result_4^post1, __retres3_7^0'=__retres3_7^post1, __const_1000^0'=__const_1000^post1, x_6^0'=x_6^post1, (-__const_9^0+x_6^0 <= 0 /\ __const_9^0-__const_9^post1 == 0 /\ __cil_tmp4_8^post1-__retres3_7^post1 == 0 /\ Result_4^post1-__cil_tmp4_8^post1 == 0 /\ __const_101^0-__const_101^post1 == 0 /\ __retres3_7^post1 == 0 /\ -__const_1000^post1+__const_1000^0 == 0 /\ -x_6^post1+x_6^0 == 0 /\ 1+i_5^0-__const_101^0 <= 0 /\ -i_5^post1+i_5^0 == 0), cost: 1
   2: l0 -> l2 : __const_9^0'=__const_9^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, i_5^0'=i_5^post2, __const_101^0'=__const_101^post2, Result_4^0'=Result_4^post2, __retres3_7^0'=__retres3_7^post2, __const_1000^0'=__const_1000^post2, x_6^0'=x_6^post2, (-__const_9^0+x_6^0 <= 0 /\ -x_6^post2+x_6^0 == 0 /\ -i_5^0+__const_101^0 <= 0 /\ __const_9^0-__const_9^post2 == 0 /\ -__retres3_7^post2+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ 1-i_5^0+i_5^post2 == 0 /\ -__cil_tmp4_8^post2+__cil_tmp4_8^0 == 0 /\ -__const_1000^post2+__const_1000^0 == 0 /\ __const_101^0-__const_101^post2 == 0), cost: 1
   3: l2 -> l0 : __const_9^0'=__const_9^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, i_5^0'=i_5^post3, __const_101^0'=__const_101^post3, Result_4^0'=Result_4^post3, __retres3_7^0'=__retres3_7^post3, __const_1000^0'=__const_1000^post3, x_6^0'=x_6^post3, (__cil_tmp4_8^0-__cil_tmp4_8^post3 == 0 /\ -i_5^post3+i_5^0 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ -__const_1000^post3+__const_1000^0 == 0 /\ __const_9^0-__const_9^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_6^post3+x_6^0 == 0 /\ __const_101^0-__const_101^post3 == 0), cost: 1
   4: l3 -> l0 : __const_9^0'=__const_9^post4, __cil_tmp4_8^0'=__cil_tmp4_8^post4, i_5^0'=i_5^post4, __const_101^0'=__const_101^post4, Result_4^0'=Result_4^post4, __retres3_7^0'=__retres3_7^post4, __const_1000^0'=__const_1000^post4, x_6^0'=x_6^post4, (__const_9^0-__const_9^post4 == 0 /\ -__const_101^post4+__const_101^0 == 0 /\ i_5^post4-__const_1000^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ -__const_1000^post4+__const_1000^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post4 == 0 /\ __retres3_7^0-__retres3_7^post4 == 0 /\ -x_6^post4+x_6^0 == 0), cost: 1
   5: l4 -> l3 : __const_9^0'=__const_9^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, i_5^0'=i_5^post5, __const_101^0'=__const_101^post5, Result_4^0'=Result_4^post5, __retres3_7^0'=__retres3_7^post5, __const_1000^0'=__const_1000^post5, x_6^0'=x_6^post5, (-__const_1000^post5+__const_1000^0 == 0 /\ -x_6^post5+x_6^0 == 0 /\ __const_9^0-__const_9^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ -__retres3_7^post5+__retres3_7^0 == 0 /\ __const_101^0-__const_101^post5 == 0 /\ -i_5^post5+i_5^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post5 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l4
   2: l0 -> l2 : __const_9^0'=__const_9^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, i_5^0'=i_5^post2, __const_101^0'=__const_101^post2, Result_4^0'=Result_4^post2, __retres3_7^0'=__retres3_7^post2, __const_1000^0'=__const_1000^post2, x_6^0'=x_6^post2, (-__const_9^0+x_6^0 <= 0 /\ -x_6^post2+x_6^0 == 0 /\ -i_5^0+__const_101^0 <= 0 /\ __const_9^0-__const_9^post2 == 0 /\ -__retres3_7^post2+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ 1-i_5^0+i_5^post2 == 0 /\ -__cil_tmp4_8^post2+__cil_tmp4_8^0 == 0 /\ -__const_1000^post2+__const_1000^0 == 0 /\ __const_101^0-__const_101^post2 == 0), cost: 1
   3: l2 -> l0 : __const_9^0'=__const_9^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, i_5^0'=i_5^post3, __const_101^0'=__const_101^post3, Result_4^0'=Result_4^post3, __retres3_7^0'=__retres3_7^post3, __const_1000^0'=__const_1000^post3, x_6^0'=x_6^post3, (__cil_tmp4_8^0-__cil_tmp4_8^post3 == 0 /\ -i_5^post3+i_5^0 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ -__const_1000^post3+__const_1000^0 == 0 /\ __const_9^0-__const_9^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_6^post3+x_6^0 == 0 /\ __const_101^0-__const_101^post3 == 0), cost: 1
   4: l3 -> l0 : __const_9^0'=__const_9^post4, __cil_tmp4_8^0'=__cil_tmp4_8^post4, i_5^0'=i_5^post4, __const_101^0'=__const_101^post4, Result_4^0'=Result_4^post4, __retres3_7^0'=__retres3_7^post4, __const_1000^0'=__const_1000^post4, x_6^0'=x_6^post4, (__const_9^0-__const_9^post4 == 0 /\ -__const_101^post4+__const_101^0 == 0 /\ i_5^post4-__const_1000^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ -__const_1000^post4+__const_1000^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post4 == 0 /\ __retres3_7^0-__retres3_7^post4 == 0 /\ -x_6^post4+x_6^0 == 0), cost: 1
   5: l4 -> l3 : __const_9^0'=__const_9^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, i_5^0'=i_5^post5, __const_101^0'=__const_101^post5, Result_4^0'=Result_4^post5, __retres3_7^0'=__retres3_7^post5, __const_1000^0'=__const_1000^post5, x_6^0'=x_6^post5, (-__const_1000^post5+__const_1000^0 == 0 /\ -x_6^post5+x_6^0 == 0 /\ __const_9^0-__const_9^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ -__retres3_7^post5+__retres3_7^0 == 0 /\ __const_101^0-__const_101^post5 == 0 /\ -i_5^post5+i_5^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post5 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l2 : __const_9^0'=__const_9^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, i_5^0'=i_5^post2, __const_101^0'=__const_101^post2, Result_4^0'=Result_4^post2, __retres3_7^0'=__retres3_7^post2, __const_1000^0'=__const_1000^post2, x_6^0'=x_6^post2, (-__const_9^0+x_6^0 <= 0 /\ -x_6^post2+x_6^0 == 0 /\ -i_5^0+__const_101^0 <= 0 /\ __const_9^0-__const_9^post2 == 0 /\ -__retres3_7^post2+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ 1-i_5^0+i_5^post2 == 0 /\ -__cil_tmp4_8^post2+__cil_tmp4_8^0 == 0 /\ -__const_1000^post2+__const_1000^0 == 0 /\ __const_101^0-__const_101^post2 == 0), cost: 1
New rule:
l0 -> l2 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : __const_9^0'=__const_9^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, i_5^0'=i_5^post3, __const_101^0'=__const_101^post3, Result_4^0'=Result_4^post3, __retres3_7^0'=__retres3_7^post3, __const_1000^0'=__const_1000^post3, x_6^0'=x_6^post3, (__cil_tmp4_8^0-__cil_tmp4_8^post3 == 0 /\ -i_5^post3+i_5^0 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ -__const_1000^post3+__const_1000^0 == 0 /\ __const_9^0-__const_9^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_6^post3+x_6^0 == 0 /\ __const_101^0-__const_101^post3 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : __const_9^0'=__const_9^post4, __cil_tmp4_8^0'=__cil_tmp4_8^post4, i_5^0'=i_5^post4, __const_101^0'=__const_101^post4, Result_4^0'=Result_4^post4, __retres3_7^0'=__retres3_7^post4, __const_1000^0'=__const_1000^post4, x_6^0'=x_6^post4, (__const_9^0-__const_9^post4 == 0 /\ -__const_101^post4+__const_101^0 == 0 /\ i_5^post4-__const_1000^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ -__const_1000^post4+__const_1000^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post4 == 0 /\ __retres3_7^0-__retres3_7^post4 == 0 /\ -x_6^post4+x_6^0 == 0), cost: 1
New rule:
l3 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l3 : __const_9^0'=__const_9^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, i_5^0'=i_5^post5, __const_101^0'=__const_101^post5, Result_4^0'=Result_4^post5, __retres3_7^0'=__retres3_7^post5, __const_1000^0'=__const_1000^post5, x_6^0'=x_6^post5, (-__const_1000^post5+__const_1000^0 == 0 /\ -x_6^post5+x_6^0 == 0 /\ __const_9^0-__const_9^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ -__retres3_7^post5+__retres3_7^0 == 0 /\ __const_101^0-__const_101^post5 == 0 /\ -i_5^post5+i_5^0 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post5 == 0), cost: 1
New rule:
l4 -> l3 : TRUE, cost: 1

Simplified rules
Start location: l4
   6: l0 -> l2 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 1
   7: l2 -> l0 : TRUE, cost: 1
   8: l3 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 1
   9: l4 -> l3 : TRUE, cost: 1


Eliminating location l3 by chaining:

Applied chaining
First rule:
l4 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 1
New rule:
l4 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 2

Applied deletion
Removed the following rules: 8 9

Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 1
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 2

Applied deletion
Removed the following rules: 6 7

Eliminated locations on linear paths
Start location: l4
  11: l0 -> l0 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 2
  10: l4 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : i_5^0'=-1+i_5^0, (-__const_9^0+x_6^0 <= 0 /\ -i_5^0+__const_101^0 <= 0), cost: 2
New rule:
l0 -> l0 : i_5^0'=i_5^0-n, (__const_9^0-x_6^0 >= 0 /\ n >= 0 /\ 1+i_5^0-n-__const_101^0 >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_IeACki.txt

Applied instantiation
Original rule:
l0 -> l0 : i_5^0'=i_5^0-n, (__const_9^0-x_6^0 >= 0 /\ n >= 0 /\ 1+i_5^0-n-__const_101^0 >= 0), cost: 2*n
New rule:
l0 -> l0 : i_5^0'=-1+__const_101^0, (0 >= 0 /\ __const_9^0-x_6^0 >= 0 /\ 1+i_5^0-__const_101^0 >= 0), cost: 2+2*i_5^0-2*__const_101^0

Applied simplification
Original rule:
l0 -> l0 : i_5^0'=-1+__const_101^0, (0 >= 0 /\ __const_9^0-x_6^0 >= 0 /\ 1+i_5^0-__const_101^0 >= 0), cost: 2+2*i_5^0-2*__const_101^0
New rule:
l0 -> l0 : i_5^0'=-1+__const_101^0, (__const_9^0-x_6^0 >= 0 /\ 1+i_5^0-__const_101^0 >= 0), cost: 2+2*i_5^0-2*__const_101^0

Applied deletion
Removed the following rules: 11

Accelerated simple loops
Start location: l4
  13: l0 -> l0 : i_5^0'=-1+__const_101^0, (__const_9^0-x_6^0 >= 0 /\ 1+i_5^0-__const_101^0 >= 0), cost: 2+2*i_5^0-2*__const_101^0
  10: l4 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 2


Applied chaining
First rule:
l4 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 2
Second rule:
l0 -> l0 : i_5^0'=-1+__const_101^0, (__const_9^0-x_6^0 >= 0 /\ 1+i_5^0-__const_101^0 >= 0), cost: 2+2*i_5^0-2*__const_101^0
New rule:
l4 -> l0 : i_5^0'=-1+__const_101^0, (__const_9^0-x_6^0 >= 0 /\ 1-__const_101^0+__const_1000^0 >= 0), cost: 4-2*__const_101^0+2*__const_1000^0

Applied deletion
Removed the following rules: 13

Chained accelerated rules with incoming rules
Start location: l4
  10: l4 -> l0 : i_5^0'=__const_1000^0, TRUE, cost: 2
  14: l4 -> l0 : i_5^0'=-1+__const_101^0, (__const_9^0-x_6^0 >= 0 /\ 1-__const_101^0+__const_1000^0 >= 0), cost: 4-2*__const_101^0+2*__const_1000^0


Removed unreachable locations and irrelevant leafs
Start location: l4
  <empty>


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0