WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=arg1P0, 9-arg1P0 == 0, cost: 1
   1: f51_0_test_LE -> f51_0_test_LE : arg1'=arg1P1, (-1-arg1P1+arg1 == 0 /\ arg1 > 0), cost: 1
   2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=arg1P0, 9-arg1P0 == 0, cost: 1
New rule:
f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=9, TRUE, cost: 1

Applied preprocessing
Original rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=arg1P1, (-1-arg1P1+arg1 == 0 /\ arg1 > 0), cost: 1
New rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=-1+arg1, arg1 > 0, cost: 1

Simplified rules
Start location: __init
   3: f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=9, TRUE, cost: 1
   4: f51_0_test_LE -> f51_0_test_LE : arg1'=-1+arg1, arg1 > 0, cost: 1
   2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1


Applied acceleration
Original rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=-1+arg1, arg1 > 0, cost: 1
New rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=arg1-n, (n >= 0 /\ 1+arg1-n > 0), cost: n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_LLkPHC.txt

Applied instantiation
Original rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=arg1-n, (n >= 0 /\ 1+arg1-n > 0), cost: n
New rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=0, (1 > 0 /\ arg1 >= 0), cost: arg1

Applied simplification
Original rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=0, (1 > 0 /\ arg1 >= 0), cost: arg1
New rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=0, arg1 >= 0, cost: arg1

Applied deletion
Removed the following rules: 4

Accelerated simple loops
Start location: __init
   3: f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=9, TRUE, cost: 1
   6: f51_0_test_LE -> f51_0_test_LE : arg1'=0, arg1 >= 0, cost: arg1
   2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=9, TRUE, cost: 1
Second rule:
f51_0_test_LE -> f51_0_test_LE : arg1'=0, arg1 >= 0, cost: arg1
New rule:
f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=0, 9 >= 0, cost: 10

Applied deletion
Removed the following rules: 6

Chained accelerated rules with incoming rules
Start location: __init
   3: f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=9, TRUE, cost: 1
   7: f1_0_main_ConstantStackPush -> f51_0_test_LE : arg1'=0, 9 >= 0, cost: 10
   2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1


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


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0