WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg3'=arg3P0, (arg2 > 0 /\ 1+x390 > 0 /\ -arg1P0+arg1 == 0 /\ 2*x390-2*x400 == 0 /\ arg2-arg2P0 == 0 /\ 2*x390 > 0 /\ -2+x410 > 0 /\ arg1 > 0), cost: 1
   1: f1_0_main_Load\' -> f723_0_init_GE : arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg3'=arg3P1, (1+x450 > 0 /\ -arg2P1 == 0 /\ arg2 > 0 /\ 2*x450 > 0 /\ -1+2*x450-2*x460 < 0 /\ 1+2*x450-arg3P1 == 0 /\ 2*x450-2*x460 == 0 /\ -2+arg1P1 > 0 /\ arg1 > 0 /\ 1+2*x450-2*x460 >= 0), cost: 1
   2: f723_0_init_GE -> f873_0_init_GE : arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg3'=arg3P2, (-arg3P2 == 0 /\ -2+arg1 > 0 /\ -2+arg1P2 > 0 /\ arg2-arg2P2 == 0 /\ -arg4P2+arg3 == 0 /\ -3+arg2 < 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0), cost: 1
   5: f723_0_init_GE -> f723_0_init_GE\' : arg2'=arg2P5, arg4'=arg4P5, arg1'=arg1P5, arg3'=arg3P5, (-2+arg1 > 0 /\ -2+x520 > 0 /\ -x500+arg3 > 0 /\ -2+arg2 > 0 /\ -1+arg3 > 0 /\ -arg3P5+arg3 == 0 /\ arg2-arg2P5 == 0 /\ -arg1+x520 <= 0 /\ -arg1P5+arg1 == 0 /\ 4-arg1+arg3 <= 0 /\ -x510+arg3 > 0), cost: 1
   3: f873_0_init_GE -> f723_0_init_GE : arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3P3, (1+arg2-arg2P3 == 0 /\ -arg3P3+arg4 == 0 /\ arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg1 > 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
   4: f873_0_init_GE -> f873_0_init_GE : arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg3'=arg3P4, (1+x180 > 0 /\ -2+arg1 > 0 /\ -arg4P4+arg4 == 0 /\ arg2-arg2P4 == 0 /\ -arg1+arg1P4 <= 0 /\ x180-arg3 > 0 /\ 4+arg4-arg1 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0 /\ -3+arg3 < 0 /\ 1-arg3P4+arg3 == 0), cost: 1
   6: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, (-arg2P6 == 0 /\ -2+arg1 > 0 /\ -arg3P6+arg3 == 0 /\ arg3-x580 > 0 /\ -2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ -2-2*x570+arg3 < 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ -x570+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg3-2*x580 < 0 /\ -2+arg1P6 > 0), cost: 1
   7: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg2'=arg2P7, arg4'=arg4P7, arg1'=arg1P7, arg3'=arg3P7, (-2+arg1 > 0 /\ arg1P7-arg1 <= 0 /\ -arg3P7 == 0 /\ -arg4P7+arg3 == 0 /\ -arg2P7+arg2 == 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
   8: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2P8, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3P8, (-2+arg1 > 0 /\ -arg3P8+arg4 == 0 /\ -2+arg1P8 > 0 /\ 1+arg2-arg2P8 == 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
   9: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg2'=arg2P9, arg4'=arg4P9, arg1'=arg1P9, arg3'=arg3P9, (-2+arg1 > 0 /\ -arg1+arg1P9 <= 0 /\ arg2-arg2P9 == 0 /\ 4+arg4-arg1 <= 0 /\ arg4-arg4P9 == 0 /\ arg4-arg3 > 0 /\ 1-arg3P9+arg3 == 0 /\ -2+arg1P9 > 0), cost: 1
  10: __init -> f1_0_main_Load : arg2'=arg2P10, arg4'=arg4P10, arg1'=arg1P10, arg3'=arg3P10, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg3'=arg3P0, (arg2 > 0 /\ 1+x390 > 0 /\ -arg1P0+arg1 == 0 /\ 2*x390-2*x400 == 0 /\ arg2-arg2P0 == 0 /\ 2*x390 > 0 /\ -2+x410 > 0 /\ arg1 > 0), cost: 1
New rule:
f1_0_main_Load -> f1_0_main_Load\' : arg4'=arg4P0, arg3'=arg3P0, (arg2 > 0 /\ arg1 > 0 /\ 2*x400 > 0), cost: 1

Applied preprocessing
Original rule:
f1_0_main_Load\' -> f723_0_init_GE : arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg3'=arg3P1, (1+x450 > 0 /\ -arg2P1 == 0 /\ arg2 > 0 /\ 2*x450 > 0 /\ -1+2*x450-2*x460 < 0 /\ 1+2*x450-arg3P1 == 0 /\ 2*x450-2*x460 == 0 /\ -2+arg1P1 > 0 /\ arg1 > 0 /\ 1+2*x450-2*x460 >= 0), cost: 1
New rule:
f1_0_main_Load\' -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg2 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ arg1 > 0), cost: 1

Applied preprocessing
Original rule:
f723_0_init_GE -> f873_0_init_GE : arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg3'=arg3P2, (-arg3P2 == 0 /\ -2+arg1 > 0 /\ -2+arg1P2 > 0 /\ arg2-arg2P2 == 0 /\ -arg4P2+arg3 == 0 /\ -3+arg2 < 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0), cost: 1
New rule:
f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f873_0_init_GE -> f723_0_init_GE : arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3P3, (1+arg2-arg2P3 == 0 /\ -arg3P3+arg4 == 0 /\ arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg1 > 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
New rule:
f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1

Applied preprocessing
Original rule:
f873_0_init_GE -> f873_0_init_GE : arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg3'=arg3P4, (1+x180 > 0 /\ -2+arg1 > 0 /\ -arg4P4+arg4 == 0 /\ arg2-arg2P4 == 0 /\ -arg1+arg1P4 <= 0 /\ x180-arg3 > 0 /\ 4+arg4-arg1 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0 /\ -3+arg3 < 0 /\ 1-arg3P4+arg3 == 0), cost: 1
New rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (3-arg3 > 0 /\ -arg1+arg1P4 <= 0 /\ 4+arg4-arg1 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f723_0_init_GE -> f723_0_init_GE\' : arg2'=arg2P5, arg4'=arg4P5, arg1'=arg1P5, arg3'=arg3P5, (-2+arg1 > 0 /\ -2+x520 > 0 /\ -x500+arg3 > 0 /\ -2+arg2 > 0 /\ -1+arg3 > 0 /\ -arg3P5+arg3 == 0 /\ arg2-arg2P5 == 0 /\ -arg1+x520 <= 0 /\ -arg1P5+arg1 == 0 /\ 4-arg1+arg3 <= 0 /\ -x510+arg3 > 0), cost: 1
New rule:
f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-2+arg2 > 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0), cost: 1

Applied preprocessing
Original rule:
f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, (-arg2P6 == 0 /\ -2+arg1 > 0 /\ -arg3P6+arg3 == 0 /\ arg3-x580 > 0 /\ -2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ -2-2*x570+arg3 < 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ -x570+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg3-2*x580 < 0 /\ -2+arg1P6 > 0), cost: 1
New rule:
f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 1

Applied preprocessing
Original rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg2'=arg2P7, arg4'=arg4P7, arg1'=arg1P7, arg3'=arg3P7, (-2+arg1 > 0 /\ arg1P7-arg1 <= 0 /\ -arg3P7 == 0 /\ -arg4P7+arg3 == 0 /\ -arg2P7+arg2 == 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
New rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1

Applied preprocessing
Original rule:
f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2P8, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3P8, (-2+arg1 > 0 /\ -arg3P8+arg4 == 0 /\ -2+arg1P8 > 0 /\ 1+arg2-arg2P8 == 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
New rule:
f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1

Applied preprocessing
Original rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg2'=arg2P9, arg4'=arg4P9, arg1'=arg1P9, arg3'=arg3P9, (-2+arg1 > 0 /\ -arg1+arg1P9 <= 0 /\ arg2-arg2P9 == 0 /\ 4+arg4-arg1 <= 0 /\ arg4-arg4P9 == 0 /\ arg4-arg3 > 0 /\ 1-arg3P9+arg3 == 0 /\ -2+arg1P9 > 0), cost: 1
New rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ 4+arg4-arg1 <= 0 /\ arg4-arg3 > 0 /\ -2+arg1P9 > 0), cost: 1

Simplified rules
Start location: __init
  11: f1_0_main_Load -> f1_0_main_Load\' : arg4'=arg4P0, arg3'=arg3P0, (arg2 > 0 /\ arg1 > 0 /\ 2*x400 > 0), cost: 1
  12: f1_0_main_Load\' -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg2 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ arg1 > 0), cost: 1
  13: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1
  16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-2+arg2 > 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0), cost: 1
  14: f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
  15: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (3-arg3 > 0 /\ -arg1+arg1P4 <= 0 /\ 4+arg4-arg1 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: 1
  17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 1
  18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
  19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
  20: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ 4+arg4-arg1 <= 0 /\ arg4-arg3 > 0 /\ -2+arg1P9 > 0), cost: 1
  10: __init -> f1_0_main_Load : arg2'=arg2P10, arg4'=arg4P10, arg1'=arg1P10, arg3'=arg3P10, TRUE, cost: 1


Applied acceleration
Original rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (3-arg3 > 0 /\ -arg1+arg1P4 <= 0 /\ 4+arg4-arg1 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: 1
New rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=n+arg3, (4-n-arg3 > 0 /\ arg1-arg1P4 >= 0 /\ -1+n >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_MaIPgA.txt

Applied instantiation
Original rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=n+arg3, (4-n-arg3 > 0 /\ arg1-arg1P4 >= 0 /\ -1+n >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: n
New rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (1 > 0 /\ 2-arg3 >= 0 /\ arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: 3-arg3

Applied simplification
Original rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (1 > 0 /\ 2-arg3 >= 0 /\ arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0), cost: 3-arg3
New rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -2+arg3 <= 0 /\ -arg2+arg4 > 0), cost: 3-arg3

Applied deletion
Removed the following rules: 15

Applied acceleration
Original rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ 4+arg4-arg1 <= 0 /\ arg4-arg3 > 0 /\ -2+arg1P9 > 0), cost: 1
New rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=n0+arg3, (arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0 /\ -1+n0 >= 0 /\ 1-n0+arg4-arg3 > 0), cost: n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_EbpNLo.txt

Applied instantiation
Original rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=n0+arg3, (arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0 /\ -1+n0 >= 0 /\ 1-n0+arg4-arg3 > 0), cost: n0
New rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (1 > 0 /\ -1+arg4-arg3 >= 0 /\ arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: arg4-arg3

Applied simplification
Original rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (1 > 0 /\ -1+arg4-arg3 >= 0 /\ arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: arg4-arg3
New rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (-1+arg4-arg3 >= 0 /\ arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: arg4-arg3

Applied deletion
Removed the following rules: 20

Accelerated simple loops
Start location: __init
  11: f1_0_main_Load -> f1_0_main_Load\' : arg4'=arg4P0, arg3'=arg3P0, (arg2 > 0 /\ arg1 > 0 /\ 2*x400 > 0), cost: 1
  12: f1_0_main_Load\' -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg2 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ arg1 > 0), cost: 1
  13: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1
  16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-2+arg2 > 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0), cost: 1
  14: f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
  22: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -2+arg3 <= 0 /\ -arg2+arg4 > 0), cost: 3-arg3
  17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 1
  18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
  19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
  24: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (-1+arg4-arg3 >= 0 /\ arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: arg4-arg3
  10: __init -> f1_0_main_Load : arg2'=arg2P10, arg4'=arg4P10, arg1'=arg1P10, arg3'=arg3P10, TRUE, cost: 1


Applied chaining
First rule:
f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1
Second rule:
f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -2+arg3 <= 0 /\ -arg2+arg4 > 0), cost: 3-arg3
New rule:
f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P4, arg3'=3, (-4-arg3+arg1P4 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 4

Applied deletion
Removed the following rules: 22

Applied chaining
First rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
Second rule:
f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (-1+arg4-arg3 >= 0 /\ arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: arg4-arg3
New rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P9, (-arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -arg2+arg3 > 0), cost: 1+arg3

Applied deletion
Removed the following rules: 24

Chained accelerated rules with incoming rules
Start location: __init
  11: f1_0_main_Load -> f1_0_main_Load\' : arg4'=arg4P0, arg3'=arg3P0, (arg2 > 0 /\ arg1 > 0 /\ 2*x400 > 0), cost: 1
  12: f1_0_main_Load\' -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg2 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ arg1 > 0), cost: 1
  13: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1
  16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-2+arg2 > 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0), cost: 1
  25: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P4, arg3'=3, (-4-arg3+arg1P4 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 4
  14: f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
  17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 1
  18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
  26: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P9, (-arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -arg2+arg3 > 0), cost: 1+arg3
  19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
  10: __init -> f1_0_main_Load : arg2'=arg2P10, arg4'=arg4P10, arg1'=arg1P10, arg3'=arg3P10, TRUE, cost: 1


Eliminating location f1_0_main_Load by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load : arg2'=arg2P10, arg4'=arg4P10, arg1'=arg1P10, arg3'=arg3P10, TRUE, cost: 1
Second rule:
f1_0_main_Load -> f1_0_main_Load\' : arg4'=arg4P0, arg3'=arg3P0, (arg2 > 0 /\ arg1 > 0 /\ 2*x400 > 0), cost: 1
New rule:
__init -> f1_0_main_Load\' : arg2'=arg2P10, arg4'=arg4P0, arg1'=arg1P10, arg3'=arg3P0, (arg1P10 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 2

Applied deletion
Removed the following rules: 10 11

Eliminating location f1_0_main_Load\' by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load\' : arg2'=arg2P10, arg4'=arg4P0, arg1'=arg1P10, arg3'=arg3P0, (arg1P10 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 2
Second rule:
f1_0_main_Load\' -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg2 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ arg1 > 0), cost: 1
New rule:
__init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3

Applied deletion
Removed the following rules: 12 27

Eliminating location f723_0_init_GE\' by chaining:

Applied chaining
First rule:
f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-2+arg2 > 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0), cost: 1
Second rule:
f723_0_init_GE\' -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 1
New rule:
f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2

Applied deletion
Removed the following rules: 16 17

Eliminated locations on linear paths
Start location: __init
  13: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P2, arg3'=0, (-2+arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ 3-arg2 > 0), cost: 1
  25: f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P4, arg3'=3, (-4-arg3+arg1P4 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 4
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  14: f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
  18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
  26: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P9, (-arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -arg2+arg3 > 0), cost: 1+arg3
  19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3


Eliminating location f873_0_init_GE by chaining:

Applied chaining
First rule:
f723_0_init_GE -> f873_0_init_GE : arg4'=arg3, arg1'=arg1P4, arg3'=3, (-4-arg3+arg1P4 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 4
Second rule:
f873_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg4, (arg1-arg1P3 >= 0 /\ -4-arg4+arg1 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3, (-4-arg3+arg1P4 >= 0 /\ arg1P4-arg1P3 >= 0 /\ 1 > 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -2+arg1P3 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5

Applied simplification
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3, (-4-arg3+arg1P4 >= 0 /\ arg1P4-arg1P3 >= 0 /\ 1 > 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P4 > 0 /\ -2+arg1P3 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3, (-4-arg3+arg1P4 >= 0 /\ arg1P4-arg1P3 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P3 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5

Applied deletion
Removed the following rules: 13 14 25

Eliminating location f1074_0_imprimer_GE by chaining:

Applied chaining
First rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P7, arg3'=0, (arg1P7-arg1 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 1
Second rule:
f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 2

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg2+arg3 > 0), cost: 2
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2

Applied chaining
First rule:
f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg4'=arg3, arg1'=arg1P9, (-arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -arg2+arg3 > 0), cost: 1+arg3
Second rule:
f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg4, (-2+arg1P8 > 0 /\ 4+arg4-arg1 <= 0 /\ -arg1+arg1P8 <= 0 /\ arg4-arg3 <= 0), cost: 1
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (0 <= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (0 <= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (-arg1+arg1P9 <= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3

Applied deletion
Removed the following rules: 18 19 26

Eliminated locations on tree-shaped paths
Start location: __init
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  30: f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3, (-4-arg3+arg1P4 >= 0 /\ arg1P4-arg1P3 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P3 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5
  31: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2
  32: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (-arg1+arg1P9 <= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3


Applied simplification
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3, (-4-arg3+arg1P4 >= 0 /\ arg1P4-arg1P3 >= 0 /\ -arg1+arg1P4 <= 0 /\ -2+arg1P3 > 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, (-arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5

Simplified simple loops
Start location: __init
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  33: f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, (-arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5
  31: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2
  32: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (-arg1+arg1P9 <= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3


Applied acceleration
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=1+arg2, arg4'=arg4P3, arg1'=arg1P3, (-arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0 /\ 3-arg2 > 0), cost: 5
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg2+n1, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -1+n1 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg2-n1 > 0 /\ 1-arg2+arg3-n1 > 0), cost: 5*n1
Sub-proof via acceration calculus written to file:///tmp/tmpnam_FAmFNo.txt

Applied instantiation
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg2+n1, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -1+n1 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg2-n1 > 0 /\ 1-arg2+arg3-n1 > 0), cost: 5*n1
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ 1 > 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3

Applied instantiation
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg2+n1, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -1+n1 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg2-n1 > 0 /\ 1-arg2+arg3-n1 > 0), cost: 5*n1
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ 1 > 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0 /\ 2-arg2 >= 0), cost: 15-5*arg2

Applied simplification
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ 1 > 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3

Applied simplification
Original rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ 1 > 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0 /\ 2-arg2 >= 0), cost: 15-5*arg2
New rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg2 <= 0 /\ -2+arg3 > 0), cost: 15-5*arg2

Applied deletion
Removed the following rules: 33

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (4-arg1P7+arg3 <= 0 /\ arg1P7-arg1 <= 0 /\ -2+arg1P8 > 0 /\ -arg1P7+arg1P8 <= 0 /\ arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, arg3'=arg3, (-arg1+arg1P9 <= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ arg1P8-arg1P9 <= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3

Simplified simple loops
Start location: __init
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  36: f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3
  37: f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg2 <= 0 /\ -2+arg3 > 0), cost: 15-5*arg2
  38: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2
  39: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3


Applied acceleration
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2+n2, arg4'=arg4P8, arg1'=arg1P8, (-1+n2 >= 0 /\ -arg3 >= 0 /\ -2+arg1P8 > 0 /\ 1-arg2-n2+arg3 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: 2*n2
Sub-proof via acceration calculus written to file:///tmp/tmpnam_ehcpEf.txt

Applied instantiation
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2+n2, arg4'=arg4P8, arg1'=arg1P8, (-1+n2 >= 0 /\ -arg3 >= 0 /\ -2+arg1P8 > 0 /\ 1-arg2-n2+arg3 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: 2*n2
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ -arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -2*arg2+2*arg3

Applied acceleration
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=1+arg2, arg4'=arg4P8, arg1'=arg1P8, (-1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg2+arg3 > 0), cost: 2+arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2+n3, arg4'=arg4P8, arg1'=arg1P8, (-1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ 1-arg2-n3+arg3 > 0 /\ arg1-arg1P8 >= 0 /\ -1+n3 >= 0), cost: 2*n3+n3*arg3
Sub-proof via acceration calculus written to file:///tmp/tmpnam_lJFhMJ.txt

Applied instantiation
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg2+n3, arg4'=arg4P8, arg1'=arg1P8, (-1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ 1-arg2-n3+arg3 > 0 /\ arg1-arg1P8 >= 0 /\ -1+n3 >= 0), cost: 2*n3+n3*arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -(arg2-arg3)*arg3-2*arg2+2*arg3

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ -arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -2*arg2+2*arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-1-arg2+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg3 <= 0 /\ arg1-arg1P8 >= 0), cost: -2*arg2+2*arg3

Applied simplification
Original rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ -1+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -(arg2-arg3)*arg3-2*arg2+2*arg3
New rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-1-arg2+arg3 >= 0 /\ -1+arg3 >= 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -(arg2-arg3)*arg3-2*arg2+2*arg3

Applied deletion
Removed the following rules: 38 39

Accelerated simple loops
Start location: __init
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  36: f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3
  37: f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg2 <= 0 /\ -2+arg3 > 0), cost: 15-5*arg2
  42: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-1-arg2+arg3 >= 0 /\ -2+arg1P8 > 0 /\ -4+arg1P8-arg3 >= 0 /\ arg3 <= 0 /\ arg1-arg1P8 >= 0), cost: -2*arg2+2*arg3
  43: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-1-arg2+arg3 >= 0 /\ -1+arg3 >= 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -(arg2-arg3)*arg3-2*arg2+2*arg3
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3


Applied chaining
First rule:
__init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3
Second rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=arg3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -1-arg2+arg3 >= 0 /\ -2+arg1P3 > 0 /\ 4-arg3 > 0), cost: -5*arg2+5*arg3
New rule:
__init -> f723_0_init_GE : arg2'=1+2*x460, arg4'=arg4P3, arg1'=arg1P3, arg3'=1+2*x460, (3-2*x460 > 0 /\ 2*x460 > 0 /\ -5-2*x460+arg1P3 >= 0 /\ 2*x400 > 0), cost: 8+10*x460

Applied chaining
First rule:
__init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3
Second rule:
f723_0_init_GE -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, (arg1-arg1P3 >= 0 /\ -4-arg3+arg1P3 >= 0 /\ -2+arg2 <= 0 /\ -2+arg3 > 0), cost: 15-5*arg2
New rule:
__init -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, arg3'=1+2*x460, (-5-2*x460+arg1P3 >= 0 /\ 2*x400 > 0 /\ -1+2*x460 > 0), cost: 18

Applied deletion
Removed the following rules: 36 37

Applied chaining
First rule:
f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
Second rule:
f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-1-arg2+arg3 >= 0 /\ -1+arg3 >= 0 /\ -4+arg1P8-arg3 >= 0 /\ arg1-arg1P8 >= 0), cost: -(arg2-arg3)*arg3-2*arg2+2*arg3
New rule:
f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ -1+arg3 > 0 /\ -arg1+arg1P8 <= 0 /\ -4+arg1P8-arg3 >= 0 /\ arg3-2*x580 >= 0), cost: 2+arg3^2+2*arg3

Applied deletion
Removed the following rules: 42 43

Chained accelerated rules with incoming rules
Start location: __init
  29: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=0, arg4'=arg4P6, arg1'=arg1P6, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ arg1P6-arg1 <= 0 /\ -1+arg3 > 0 /\ arg3-2*x580 >= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P6 > 0), cost: 2
  46: f723_0_init_GE -> f1037_0_imprimer_GE : arg2'=arg3, arg4'=arg4P8, arg1'=arg1P8, (-2*x570+arg3 >= 0 /\ -2+arg2 > 0 /\ 2-arg3+2*x580 > 0 /\ 2+2*x570-arg3 > 0 /\ -1+arg3 > 0 /\ -arg1+arg1P8 <= 0 /\ -4+arg1P8-arg3 >= 0 /\ arg3-2*x580 >= 0), cost: 2+arg3^2+2*arg3
  28: __init -> f723_0_init_GE : arg2'=0, arg4'=arg4P1, arg1'=arg1P1, arg3'=1+2*x460, (arg1P10 > 0 /\ 2*x460 > 0 /\ -2+arg1P1 > 0 /\ 2*x400 > 0 /\ arg2P10 > 0), cost: 3
  44: __init -> f723_0_init_GE : arg2'=1+2*x460, arg4'=arg4P3, arg1'=arg1P3, arg3'=1+2*x460, (3-2*x460 > 0 /\ 2*x460 > 0 /\ -5-2*x460+arg1P3 >= 0 /\ 2*x400 > 0), cost: 8+10*x460
  45: __init -> f723_0_init_GE : arg2'=3, arg4'=arg4P3, arg1'=arg1P3, arg3'=1+2*x460, (-5-2*x460+arg1P3 >= 0 /\ 2*x400 > 0 /\ -1+2*x460 > 0), cost: 18


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