NO

Initial ITS
Start location: __init
   0: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ 1-arg3P0 == 0 /\ arg1P0 > 0 /\ -arg4P0+arg2 == 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
   1: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
   5: f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, (arg1 > 0 /\ 4+arg3-arg3P5 == 0 /\ -arg2+arg1P5 <= 0 /\ -1-arg3+arg4 > 0 /\ 1+arg4 > 0 /\ -arg1+arg1P5 <= 0 /\ -6+arg2P5 > 0 /\ arg2 > 0 /\ -arg4P5+arg4 == 0 /\ -2-arg3+arg4 > 0 /\ arg1P5 > 0), cost: 1
   2: f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
   3: f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0), cost: 1
   4: f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1
   6: __init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ 1-arg3P0 == 0 /\ arg1P0 > 0 /\ -arg4P0+arg2 == 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
New rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, (arg1 > 0 /\ 4+arg3-arg3P5 == 0 /\ -arg2+arg1P5 <= 0 /\ -1-arg3+arg4 > 0 /\ 1+arg4 > 0 /\ -arg1+arg1P5 <= 0 /\ -6+arg2P5 > 0 /\ arg2 > 0 /\ -arg4P5+arg4 == 0 /\ -2-arg3+arg4 > 0 /\ arg1P5 > 0), cost: 1
New rule:
f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=4+arg3, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ 1+arg4 > 0 /\ -arg1+arg1P5 <= 0 /\ -6+arg2P5 > 0 /\ -2-arg3+arg4 > 0 /\ arg1P5 > 0), cost: 1

Simplified rules
Start location: __init
   7: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
   1: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
   8: f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=4+arg3, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ 1+arg4 > 0 /\ -arg1+arg1P5 <= 0 /\ -6+arg2P5 > 0 /\ -2-arg3+arg4 > 0 /\ arg1P5 > 0), cost: 1
   2: f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
   3: f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0), cost: 1
   4: f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1
   6: __init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1


Applied acceleration
Original rule:
f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=4+arg3, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ 1+arg4 > 0 /\ -arg1+arg1P5 <= 0 /\ -6+arg2P5 > 0 /\ -2-arg3+arg4 > 0 /\ arg1P5 > 0), cost: 1
New rule:
f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=arg3+4*n0, arg2'=arg2P5, (arg1-arg1P5 >= 0 /\ 1+arg4 > 0 /\ arg2-arg1P5 >= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -1+n0 >= 0 /\ 2-arg3-4*n0+arg4 > 0 /\ arg1P5 > 0), cost: n0

Applied deletion
Removed the following rules: 8

Applied acceleration
Original rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0), cost: 1
New rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: n3

Applied unrolling
Original rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0), cost: 1
New rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: 2

Applied non-termination processor
Original rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: 2
New rule:
f1058_0_size_NULL -> [6] : (arg1 > 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: NONTERM

Applied simplification
Original rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: n3
New rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0), cost: n3

Applied simplification
Original rule:
f1058_0_size_NULL -> [6] : (arg1 > 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0), cost: NONTERM
New rule:
f1058_0_size_NULL -> [6] : (arg1 > 0 /\ arg1P3 > 0), cost: NONTERM

Applied deletion
Removed the following rules: 3

Applied acceleration
Original rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1
New rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ -1+n6 >= 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: n6

Applied unrolling
Original rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1
New rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: 2

Applied non-termination processor
Original rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: 2
New rule:
f1097_0_outputList_NULL -> [7] : (arg1 > 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: NONTERM

Applied simplification
Original rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ -1+n6 >= 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: n6
New rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ -1+n6 >= 0 /\ arg1P4 > 0), cost: n6

Applied simplification
Original rule:
f1097_0_outputList_NULL -> [7] : (arg1 > 0 /\ arg1P4 > 0 /\ 1+arg1P4 > 0), cost: NONTERM
New rule:
f1097_0_outputList_NULL -> [7] : (arg1 > 0 /\ arg1P4 > 0), cost: NONTERM

Applied deletion
Removed the following rules: 4

Accelerated simple loops
Start location: __init
   7: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
   1: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
   9: f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=arg3+4*n0, arg2'=arg2P5, (arg1-arg1P5 >= 0 /\ 1+arg4 > 0 /\ arg2-arg1P5 >= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -1+n0 >= 0 /\ 2-arg3-4*n0+arg4 > 0 /\ arg1P5 > 0), cost: n0
   2: f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
  12: f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0), cost: n3
  13: f1058_0_size_NULL -> [6] : (arg1 > 0 /\ arg1P3 > 0), cost: NONTERM
  16: f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ -1+n6 >= 0 /\ arg1P4 > 0), cost: n6
  17: f1097_0_outputList_NULL -> [7] : (arg1 > 0 /\ arg1P4 > 0), cost: NONTERM
   6: __init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f909_0_main_GE -> f909_0_main_GE : arg1'=arg1P5, arg3'=arg3+4*n0, arg2'=arg2P5, (arg1-arg1P5 >= 0 /\ 1+arg4 > 0 /\ arg2-arg1P5 >= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -1+n0 >= 0 /\ 2-arg3-4*n0+arg4 > 0 /\ arg1P5 > 0), cost: n0
New rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2, (-arg1+arg1P5 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ 1+arg2-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 1+n0

Applied deletion
Removed the following rules: 9

Applied chaining
First rule:
f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
Second rule:
f1058_0_size_NULL -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0), cost: n3
New rule:
f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1+n3

Applied chaining
First rule:
f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
Second rule:
f1058_0_size_NULL -> [6] : (arg1 > 0 /\ arg1P3 > 0), cost: NONTERM
New rule:
f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM

Applied deletion
Removed the following rules: 12 13

Applied chaining
First rule:
f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
Second rule:
f1097_0_outputList_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ -1+n6 >= 0 /\ arg1P4 > 0), cost: n6
New rule:
f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (-1+n6 >= 0 /\ 1+arg1 > 0 /\ arg1P4 > 0), cost: 1+n6

Applied chaining
First rule:
f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
Second rule:
f1097_0_outputList_NULL -> [7] : (arg1 > 0 /\ arg1P4 > 0), cost: NONTERM
New rule:
f1058_0_size_NULL -> [7] : 1+arg1 > 0, cost: NONTERM

Applied deletion
Removed the following rules: 16 17

Chained accelerated rules with incoming rules
Start location: __init
   7: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
  18: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2, (-arg1+arg1P5 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ 1+arg2-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 1+n0
   1: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
  19: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1+n3
  20: f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
   2: f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (1+arg1 > 0 /\ 1+arg1P2 > 0), cost: 1
  21: f1058_0_size_NULL -> f1097_0_outputList_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (-1+n6 >= 0 /\ 1+arg1 > 0 /\ arg1P4 > 0), cost: 1+n6
  22: f1058_0_size_NULL -> [7] : 1+arg1 > 0, cost: NONTERM
   6: __init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1


Removed unreachable locations and irrelevant leafs
Start location: __init
   7: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
  18: f1_0_main_New -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2, (-arg1+arg1P5 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ 1+arg2-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 1+n0
   1: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
  19: f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1+n3
  20: f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
  22: f1058_0_size_NULL -> [7] : 1+arg1 > 0, cost: NONTERM
   6: __init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1


Eliminating location f1_0_main_New by chaining:

Applied chaining
First rule:
__init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1
Second rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -1+arg2P0 > 0 /\ 1+arg2 > 0), cost: 1
New rule:
__init -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2P6, (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: 2

Applied chaining
First rule:
__init -> f1_0_main_New : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, TRUE, cost: 1
Second rule:
f1_0_main_New -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2, (-arg1+arg1P5 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ 1+arg2-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 1+n0
New rule:
__init -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2P6, (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 2+n0

Applied deletion
Removed the following rules: 6 7 18

Eliminating location f1058_0_size_NULL by chaining:

Applied chaining
First rule:
f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1
Second rule:
f1058_0_size_NULL -> [7] : 1+arg1 > 0, cost: NONTERM
New rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM

Applied chaining
First rule:
f909_0_main_GE -> f1058_0_size_NULL : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: 1+n3
Second rule:
f1058_0_size_NULL -> [7] : 1+arg1 > 0, cost: NONTERM
New rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ -1+n3 >= 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM

Applied simplification
Original rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ -1+n3 >= 0 /\ 1+arg1P3 > 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
New rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM

Applied deletion
Removed the following rules: 1 19 22

Eliminated locations on tree-shaped paths
Start location: __init
  20: f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
  25: f909_0_main_GE -> [7] : (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
  26: f909_0_main_GE -> [7] : (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
  23: __init -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2P6, (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: 2
  24: __init -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2P6, (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 2+n0


Applied merging
first rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
second rule:
f909_0_main_GE -> [7] : (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
new rule:
f909_0_main_GE -> [7] : ((arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0) \/ (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0)), cost: NONTERM

Merged rules
Start location: __init
  20: f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
  27: f909_0_main_GE -> [7] : ((arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0) \/ (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0)), cost: NONTERM
  23: __init -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2P6, (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: 2
  24: __init -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2P6, (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 2+n0


Eliminating location f909_0_main_GE by chaining:

Applied chaining
First rule:
__init -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2P6, (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: 2
Second rule:
f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
New rule:
__init -> [6] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ arg2P0 > 0), cost: NONTERM

Applied simplification
Original rule:
__init -> [6] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ arg2P0 > 0), cost: NONTERM
New rule:
__init -> [6] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: NONTERM

Applied chaining
First rule:
__init -> f909_0_main_GE : arg1'=arg1P0, arg3'=1, arg2'=arg2P0, arg4'=arg2P6, (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: 2
Second rule:
f909_0_main_GE -> [7] : ((arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0) \/ (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0)), cost: NONTERM
New rule:
__init -> [7] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ ((1+arg1P1 > 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ arg2P0 > 0) \/ (-1+n3 >= 0 /\ -1+arg2P6 <= 0 /\ arg1P3 > 0 /\ arg1P0 > 0 /\ arg2P0 > 0))), cost: NONTERM

Applied simplification
Original rule:
__init -> [7] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ ((1+arg1P1 > 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ arg2P0 > 0) \/ (-1+n3 >= 0 /\ -1+arg2P6 <= 0 /\ arg1P3 > 0 /\ arg1P0 > 0 /\ arg2P0 > 0))), cost: NONTERM
New rule:
__init -> [7] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ ((-1+n3 >= 0 /\ -1+arg2P6 <= 0 /\ arg1P3 > 0 /\ arg1P0 > 0 /\ arg2P0 > 0) \/ (1+arg1P1 > 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0))), cost: NONTERM

Applied chaining
First rule:
__init -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2P6, (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 2+n0
Second rule:
f909_0_main_GE -> [6] : (arg1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0), cost: NONTERM
New rule:
__init -> [6] : (arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: NONTERM

Applied simplification
Original rule:
__init -> [6] : (arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: NONTERM
New rule:
__init -> [6] : (-1+arg2P6-4*n0 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: NONTERM

Applied chaining
First rule:
__init -> f909_0_main_GE : arg1'=arg1P5, arg3'=1+4*n0, arg2'=arg2P5, arg4'=arg2P6, (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: 2+n0
Second rule:
f909_0_main_GE -> [7] : ((arg1 > 0 /\ 1+arg1P1 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0) \/ (arg1 > 0 /\ -1+n3 >= 0 /\ arg1P3 > 0 /\ arg2 > 0 /\ -arg3+arg4 <= 0)), cost: NONTERM
New rule:
__init -> [7] : (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0 /\ ((-1+n3 >= 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P3 > 0 /\ arg1P5 > 0) \/ (1+arg1P1 > 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P5 > 0))), cost: NONTERM

Applied simplification
Original rule:
__init -> [7] : (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0 /\ ((-1+n3 >= 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P3 > 0 /\ arg1P5 > 0) \/ (1+arg1P1 > 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P5 > 0))), cost: NONTERM
New rule:
__init -> [7] : (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ ((-1+n3 >= 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P3 > 0 /\ arg1P5 > 0) \/ (1+arg1P1 > 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P5 > 0))), cost: NONTERM

Applied deletion
Removed the following rules: 20 23 24 27

Eliminated locations on tree-shaped paths
Start location: __init
  28: __init -> [6] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0), cost: NONTERM
  29: __init -> [7] : (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0 /\ ((-1+n3 >= 0 /\ -1+arg2P6 <= 0 /\ arg1P3 > 0 /\ arg1P0 > 0 /\ arg2P0 > 0) \/ (1+arg1P1 > 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0))), cost: NONTERM
  30: __init -> [6] : (-1+arg2P6-4*n0 <= 0 /\ arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ arg1P5 > 0), cost: NONTERM
  31: __init -> [7] : (arg2P5-arg1P5 >= 0 /\ -6+arg2P5 > 0 /\ -arg1P6+arg1P5 <= 0 /\ 1+arg2P6-4*n0 > 0 /\ -1+n0 >= 0 /\ ((-1+n3 >= 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P3 > 0 /\ arg1P5 > 0) \/ (1+arg1P1 > 0 /\ arg2P5 > 0 /\ -1+arg2P6-4*n0 <= 0 /\ arg1P5 > 0))), cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 28 via SMT.

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

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  (-1-arg1P6+arg2P0 <= 0 /\ -arg1P6+arg1P0 <= 0 /\ -1+arg2P6 <= 0 /\ arg1P0 > 0 /\ 1+arg2P6 > 0 /\ -1+arg2P0 > 0)