NO

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ 1-arg3P0 == 0 /\ arg1P0 > 0 /\ -arg4P0+arg2 == 0 /\ 1+arg2 > 0 /\ -arg2P0 == 0), cost: 1
   1: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg3 > 0 /\ -arg3P1+arg3+arg2 == 0 /\ -arg2P1+arg3 == 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg4P1+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
   2: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg3P2+arg2 == 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3-arg2P2 == 0 /\ -arg3+arg4 < 0 /\ -arg4P2+arg4 == 0), cost: 1
   3: __init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ 1-arg3P0 == 0 /\ arg1P0 > 0 /\ -arg4P0+arg2 == 0 /\ 1+arg2 > 0 /\ -arg2P0 == 0), cost: 1
New rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg3 > 0 /\ -arg3P1+arg3+arg2 == 0 /\ -arg2P1+arg3 == 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg4P1+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3+arg2, arg2'=arg3, (-arg1+arg1P1 <= 0 /\ arg3 > 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg3P2+arg2 == 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3-arg2P2 == 0 /\ -arg3+arg4 < 0 /\ -arg4P2+arg4 == 0), cost: 1
New rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3+arg2, arg2'=arg3, (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1

Simplified rules
Start location: __init
   4: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   5: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3+arg2, arg2'=arg3, (-arg1+arg1P1 <= 0 /\ arg3 > 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg3+arg4 > 0), cost: 1
   6: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3+arg2, arg2'=arg3, (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1
   3: __init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1


Applied unrolling
Original rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3+arg2, arg2'=arg3, (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1
New rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=2*arg3+arg2, arg2'=arg3+arg2, (0 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3+arg2-arg4 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3+arg2 > 0 /\ 1+arg3 > 0), cost: 2

Applied non-termination processor
Original rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=2*arg3+arg2, arg2'=arg3+arg2, (0 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3+arg2-arg4 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3+arg2 > 0 /\ 1+arg3 > 0), cost: 2
New rule:
f111_0_fib_EQ -> [3] : (0 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3+arg2-arg4 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3+arg2 > 0 /\ 1+arg3 > 0), cost: NONTERM

Applied simplification
Original rule:
f111_0_fib_EQ -> [3] : (0 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ arg3+arg2-arg4 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ arg3+arg2 > 0 /\ 1+arg3 > 0), cost: NONTERM
New rule:
f111_0_fib_EQ -> [3] : (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: NONTERM

Accelerated simple loops
Start location: __init
   4: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   5: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3+arg2, arg2'=arg3, (-arg1+arg1P1 <= 0 /\ arg3 > 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg3+arg4 > 0), cost: 1
   6: f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3+arg2, arg2'=arg3, (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1
   8: f111_0_fib_EQ -> [3] : (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: NONTERM
   3: __init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=arg3+arg2, arg2'=arg3, (-arg1+arg1P1 <= 0 /\ arg3 > 0 /\ 1+arg2 > 0 /\ arg1P1 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=1, arg2'=1, arg4'=arg2, (-arg1+arg1P1 <= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0), cost: 2

Applied chaining
First rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f111_0_fib_EQ -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=arg3+arg2, arg2'=arg3, (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1
New rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=1, arg2'=1, arg4'=arg2, (arg1P2 > 0 /\ arg2 == 0 /\ -arg1+arg1P2 <= 0), cost: 2

Applied chaining
First rule:
f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f111_0_fib_EQ -> [3] : (arg1P2 > 0 /\ arg3 > 0 /\ arg3-arg4 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P2 <= 0), cost: NONTERM
New rule:
f1_0_main_Load -> [3] : (-1+arg1 >= 0 /\ arg2 == 0), cost: NONTERM

Applied deletion
Removed the following rules: 5 6 8

Chained accelerated rules with incoming rules
Start location: __init
   4: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P0, arg3'=1, arg2'=0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   9: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P1, arg3'=1, arg2'=1, arg4'=arg2, (-arg1+arg1P1 <= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0), cost: 2
  10: f1_0_main_Load -> f111_0_fib_EQ : arg1'=arg1P2, arg3'=1, arg2'=1, arg4'=arg2, (arg1P2 > 0 /\ arg2 == 0 /\ -arg1+arg1P2 <= 0), cost: 2
  11: f1_0_main_Load -> [3] : (-1+arg1 >= 0 /\ arg2 == 0), cost: NONTERM
   3: __init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1


Removed unreachable locations and irrelevant leafs
Start location: __init
  11: f1_0_main_Load -> [3] : (-1+arg1 >= 0 /\ arg2 == 0), cost: NONTERM
   3: __init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1


Eliminating location f1_0_main_Load by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, TRUE, cost: 1
Second rule:
f1_0_main_Load -> [3] : (-1+arg1 >= 0 /\ arg2 == 0), cost: NONTERM
New rule:
__init -> [3] : (arg2P3 == 0 /\ -1+arg1P3 >= 0), cost: NONTERM

Applied deletion
Removed the following rules: 3 11

Eliminated locations on linear paths
Start location: __init
  12: __init -> [3] : (arg2P3 == 0 /\ -1+arg1P3 >= 0), cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 12 via SMT.

Proved the following lower bound
Complexity:  Nonterm
Cpx degree: Nonterm

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  (arg2P3 == 0 /\ -1+arg1P3 >= 0)