WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (-arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2-arg3P0 == 0), cost: 1
   1: f66_0_main_GE -> f66_0_main_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg3-arg3P1 == 0 /\ arg1 > 0 /\ arg1P1 > 0 /\ 1+arg3 > 0 /\ 1+arg2-arg2P1 == 0 /\ -arg1+arg1P1 <= 0 /\ -arg2+arg3 > 0), cost: 1
   2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (-arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2-arg3P0 == 0), cost: 1
New rule:
f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=0, arg1'=arg1P0, arg3'=arg2, (1+arg2 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0), cost: 1

Applied preprocessing
Original rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg3-arg3P1 == 0 /\ arg1 > 0 /\ arg1P1 > 0 /\ 1+arg3 > 0 /\ 1+arg2-arg2P1 == 0 /\ -arg1+arg1P1 <= 0 /\ -arg2+arg3 > 0), cost: 1
New rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=1+arg2, arg1'=arg1P1, (arg1P1 > 0 /\ 1+arg3 > 0 /\ -arg1+arg1P1 <= 0 /\ -arg2+arg3 > 0), cost: 1

Simplified rules
Start location: __init
   3: f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=0, arg1'=arg1P0, arg3'=arg2, (1+arg2 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0), cost: 1
   4: f66_0_main_GE -> f66_0_main_GE : arg2'=1+arg2, arg1'=arg1P1, (arg1P1 > 0 /\ 1+arg3 > 0 /\ -arg1+arg1P1 <= 0 /\ -arg2+arg3 > 0), cost: 1
   2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1


Applied acceleration
Original rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=1+arg2, arg1'=arg1P1, (arg1P1 > 0 /\ 1+arg3 > 0 /\ -arg1+arg1P1 <= 0 /\ -arg2+arg3 > 0), cost: 1
New rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=n+arg2, arg1'=arg1P1, (1-n-arg2+arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0 /\ -1+n >= 0), cost: n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_kGpEFi.txt

Applied instantiation
Original rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=n+arg2, arg1'=arg1P1, (1-n-arg2+arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0 /\ -1+n >= 0), cost: n
New rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=arg3, arg1'=arg1P1, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: -arg2+arg3

Applied simplification
Original rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=arg3, arg1'=arg1P1, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: -arg2+arg3
New rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=arg3, arg1'=arg1P1, (-1-arg2+arg3 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: -arg2+arg3

Applied deletion
Removed the following rules: 4

Accelerated simple loops
Start location: __init
   3: f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=0, arg1'=arg1P0, arg3'=arg2, (1+arg2 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0), cost: 1
   6: f66_0_main_GE -> f66_0_main_GE : arg2'=arg3, arg1'=arg1P1, (-1-arg2+arg3 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: -arg2+arg3
   2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=0, arg1'=arg1P0, arg3'=arg2, (1+arg2 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0), cost: 1
Second rule:
f66_0_main_GE -> f66_0_main_GE : arg2'=arg3, arg1'=arg1P1, (-1-arg2+arg3 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: -arg2+arg3
New rule:
f1_0_main_ConstantStackPush -> f66_0_main_GE : arg1'=arg1P1, arg3'=arg2, (arg1P1 > 0 /\ -1+arg2 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg2

Applied deletion
Removed the following rules: 6

Chained accelerated rules with incoming rules
Start location: __init
   3: f1_0_main_ConstantStackPush -> f66_0_main_GE : arg2'=0, arg1'=arg1P0, arg3'=arg2, (1+arg2 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0), cost: 1
   7: f1_0_main_ConstantStackPush -> f66_0_main_GE : arg1'=arg1P1, arg3'=arg2, (arg1P1 > 0 /\ -1+arg2 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg2
   2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, 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