WORST_CASE(Omega(1),?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: l6
      0: l0 -> l1 : oldX0^0'=oldX0^post_1, oldX1^0'=oldX1^post_1, oldX2^0'=oldX2^post_1, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_1, oldX5^0'=oldX5^post_1, x0^0'=x0^post_1, x1^0'=x1^post_1, x2^0'=x2^post_1, [ oldX0^post_1==x0^0 && oldX1^post_1==x1^0 && oldX2^post_1==x2^0 && oldX3^post_1==oldX3^post_1 && oldX4^post_1==oldX4^post_1 && oldX5^post_1==oldX5^post_1 && x0^post_1==oldX3^post_1 && x1^post_1==oldX4^post_1 && x2^post_1==oldX5^post_1 ], cost: 1
      1: l2 -> l3 : oldX0^0'=oldX0^post_2, oldX1^0'=oldX1^post_2, oldX2^0'=oldX2^post_2, oldX3^0'=oldX3^post_2, oldX4^0'=oldX4^post_2, oldX5^0'=oldX5^post_2, x0^0'=x0^post_2, x1^0'=x1^post_2, x2^0'=x2^post_2, [ oldX0^post_2==x0^0 && oldX1^post_2==x1^0 && oldX2^post_2==x2^0 && x0^post_2==oldX0^post_2 && x1^post_2==1+oldX1^post_2 && x2^post_2==1+oldX2^post_2 && oldX3^0==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 ], cost: 1
      2: l3 -> l0 : oldX0^0'=oldX0^post_3, oldX1^0'=oldX1^post_3, oldX2^0'=oldX2^post_3, oldX3^0'=oldX3^post_3, oldX4^0'=oldX4^post_3, oldX5^0'=oldX5^post_3, x0^0'=x0^post_3, x1^0'=x1^post_3, x2^0'=x2^post_3, [ oldX0^post_3==x0^0 && oldX1^post_3==x1^0 && oldX2^post_3==x2^0 && oldX1^post_3<=-1+oldX0^post_3 && 1+oldX1^post_3<=oldX1^post_3 && x0^post_3==oldX0^post_3 && x1^post_3==oldX1^post_3 && x2^post_3==oldX2^post_3 && oldX3^0==oldX3^post_3 && oldX4^0==oldX4^post_3 && oldX5^0==oldX5^post_3 ], cost: 1
      3: l3 -> l0 : oldX0^0'=oldX0^post_4, oldX1^0'=oldX1^post_4, oldX2^0'=oldX2^post_4, oldX3^0'=oldX3^post_4, oldX4^0'=oldX4^post_4, oldX5^0'=oldX5^post_4, x0^0'=x0^post_4, x1^0'=x1^post_4, x2^0'=x2^post_4, [ oldX0^post_4==x0^0 && oldX1^post_4==x1^0 && oldX2^post_4==x2^0 && oldX1^post_4<=-1+oldX0^post_4 && 1+oldX1^post_4<=oldX1^post_4 && x0^post_4==oldX0^post_4 && x1^post_4==oldX1^post_4 && x2^post_4==oldX2^post_4 && oldX3^0==oldX3^post_4 && oldX4^0==oldX4^post_4 && oldX5^0==oldX5^post_4 ], cost: 1
      4: l3 -> l2 : oldX0^0'=oldX0^post_5, oldX1^0'=oldX1^post_5, oldX2^0'=oldX2^post_5, oldX3^0'=oldX3^post_5, oldX4^0'=oldX4^post_5, oldX5^0'=oldX5^post_5, x0^0'=x0^post_5, x1^0'=x1^post_5, x2^0'=x2^post_5, [ oldX0^post_5==x0^0 && oldX1^post_5==x1^0 && oldX2^post_5==x2^0 && oldX1^post_5<=-1+oldX0^post_5 && oldX1^post_5<=oldX1^post_5 && oldX1^post_5<=oldX1^post_5 && x0^post_5==oldX0^post_5 && x1^post_5==oldX1^post_5 && x2^post_5==oldX2^post_5 && oldX3^0==oldX3^post_5 && oldX4^0==oldX4^post_5 && oldX5^0==oldX5^post_5 ], cost: 1
      5: l3 -> l0 : oldX0^0'=oldX0^post_6, oldX1^0'=oldX1^post_6, oldX2^0'=oldX2^post_6, oldX3^0'=oldX3^post_6, oldX4^0'=oldX4^post_6, oldX5^0'=oldX5^post_6, x0^0'=x0^post_6, x1^0'=x1^post_6, x2^0'=x2^post_6, [ oldX0^post_6==x0^0 && oldX1^post_6==x1^0 && oldX2^post_6==x2^0 && oldX0^post_6<=oldX1^post_6 && 1+oldX1^post_6<=-1+oldX0^post_6 && x0^post_6==oldX0^post_6 && x1^post_6==oldX1^post_6 && x2^post_6==oldX2^post_6 && oldX3^0==oldX3^post_6 && oldX4^0==oldX4^post_6 && oldX5^0==oldX5^post_6 ], cost: 1
      6: l3 -> l0 : oldX0^0'=oldX0^post_7, oldX1^0'=oldX1^post_7, oldX2^0'=oldX2^post_7, oldX3^0'=oldX3^post_7, oldX4^0'=oldX4^post_7, oldX5^0'=oldX5^post_7, x0^0'=x0^post_7, x1^0'=x1^post_7, x2^0'=x2^post_7, [ oldX0^post_7==x0^0 && oldX1^post_7==x1^0 && oldX2^post_7==x2^0 && oldX0^post_7<=oldX1^post_7 && oldX0^post_7<=oldX1^post_7 && x0^post_7==oldX0^post_7 && x1^post_7==oldX1^post_7 && x2^post_7==oldX2^post_7 && oldX3^0==oldX3^post_7 && oldX4^0==oldX4^post_7 && oldX5^0==oldX5^post_7 ], cost: 1
      7: l3 -> l2 : oldX0^0'=oldX0^post_8, oldX1^0'=oldX1^post_8, oldX2^0'=oldX2^post_8, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, oldX5^0'=oldX5^post_8, x0^0'=x0^post_8, x1^0'=x1^post_8, x2^0'=x2^post_8, [ oldX0^post_8==x0^0 && oldX1^post_8==x1^0 && oldX2^post_8==x2^0 && oldX0^post_8<=oldX1^post_8 && -1+oldX0^post_8<=oldX1^post_8 && oldX1^post_8<=-1+oldX0^post_8 && x0^post_8==oldX0^post_8 && x1^post_8==oldX1^post_8 && x2^post_8==oldX2^post_8 && oldX3^0==oldX3^post_8 && oldX4^0==oldX4^post_8 && oldX5^0==oldX5^post_8 ], cost: 1
      8: l4 -> l3 : oldX0^0'=oldX0^post_9, oldX1^0'=oldX1^post_9, oldX2^0'=oldX2^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_9, x0^0'=x0^post_9, x1^0'=x1^post_9, x2^0'=x2^post_9, [ oldX0^post_9==x0^0 && oldX1^post_9==x1^0 && oldX2^post_9==x2^0 && oldX3^post_9==oldX3^post_9 && oldX4^post_9==oldX4^post_9 && x0^post_9==oldX3^post_9 && x1^post_9==oldX4^post_9 && x2^post_9==0 && oldX5^0==oldX5^post_9 ], cost: 1
      9: l5 -> l4 : oldX0^0'=oldX0^post_10, oldX1^0'=oldX1^post_10, oldX2^0'=oldX2^post_10, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, x0^0'=x0^post_10, x1^0'=x1^post_10, x2^0'=x2^post_10, [ oldX0^post_10==x0^0 && oldX1^post_10==x1^0 && oldX2^post_10==x2^0 && oldX3^post_10==oldX3^post_10 && oldX4^post_10==oldX4^post_10 && oldX5^post_10==oldX5^post_10 && x0^post_10==oldX3^post_10 && x1^post_10==oldX4^post_10 && x2^post_10==oldX5^post_10 ], cost: 1
     10: l5 -> l1 : oldX0^0'=oldX0^post_11, oldX1^0'=oldX1^post_11, oldX2^0'=oldX2^post_11, oldX3^0'=oldX3^post_11, oldX4^0'=oldX4^post_11, oldX5^0'=oldX5^post_11, x0^0'=x0^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [ oldX0^0==oldX0^post_11 && oldX1^0==oldX1^post_11 && oldX2^0==oldX2^post_11 && oldX3^0==oldX3^post_11 && oldX4^0==oldX4^post_11 && oldX5^0==oldX5^post_11 && x0^0==x0^post_11 && x1^0==x1^post_11 && x2^0==x2^post_11 ], cost: 1
     11: l5 -> l0 : oldX0^0'=oldX0^post_12, oldX1^0'=oldX1^post_12, oldX2^0'=oldX2^post_12, oldX3^0'=oldX3^post_12, oldX4^0'=oldX4^post_12, oldX5^0'=oldX5^post_12, x0^0'=x0^post_12, x1^0'=x1^post_12, x2^0'=x2^post_12, [ oldX0^0==oldX0^post_12 && oldX1^0==oldX1^post_12 && oldX2^0==oldX2^post_12 && oldX3^0==oldX3^post_12 && oldX4^0==oldX4^post_12 && oldX5^0==oldX5^post_12 && x0^0==x0^post_12 && x1^0==x1^post_12 && x2^0==x2^post_12 ], cost: 1
     12: l5 -> l2 : oldX0^0'=oldX0^post_13, oldX1^0'=oldX1^post_13, oldX2^0'=oldX2^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, oldX5^0'=oldX5^post_13, x0^0'=x0^post_13, x1^0'=x1^post_13, x2^0'=x2^post_13, [ oldX0^0==oldX0^post_13 && oldX1^0==oldX1^post_13 && oldX2^0==oldX2^post_13 && oldX3^0==oldX3^post_13 && oldX4^0==oldX4^post_13 && oldX5^0==oldX5^post_13 && x0^0==x0^post_13 && x1^0==x1^post_13 && x2^0==x2^post_13 ], cost: 1
     13: l5 -> l3 : oldX0^0'=oldX0^post_14, oldX1^0'=oldX1^post_14, oldX2^0'=oldX2^post_14, oldX3^0'=oldX3^post_14, oldX4^0'=oldX4^post_14, oldX5^0'=oldX5^post_14, x0^0'=x0^post_14, x1^0'=x1^post_14, x2^0'=x2^post_14, [ oldX0^0==oldX0^post_14 && oldX1^0==oldX1^post_14 && oldX2^0==oldX2^post_14 && oldX3^0==oldX3^post_14 && oldX4^0==oldX4^post_14 && oldX5^0==oldX5^post_14 && x0^0==x0^post_14 && x1^0==x1^post_14 && x2^0==x2^post_14 ], cost: 1
     14: l5 -> l4 : oldX0^0'=oldX0^post_15, oldX1^0'=oldX1^post_15, oldX2^0'=oldX2^post_15, oldX3^0'=oldX3^post_15, oldX4^0'=oldX4^post_15, oldX5^0'=oldX5^post_15, x0^0'=x0^post_15, x1^0'=x1^post_15, x2^0'=x2^post_15, [ oldX0^0==oldX0^post_15 && oldX1^0==oldX1^post_15 && oldX2^0==oldX2^post_15 && oldX3^0==oldX3^post_15 && oldX4^0==oldX4^post_15 && oldX5^0==oldX5^post_15 && x0^0==x0^post_15 && x1^0==x1^post_15 && x2^0==x2^post_15 ], cost: 1
     15: l6 -> l5 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^0==oldX0^post_16 && oldX1^0==oldX1^post_16 && oldX2^0==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && x0^0==x0^post_16 && x1^0==x1^post_16 && x2^0==x2^post_16 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
     15: l6 -> l5 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^0==oldX0^post_16 && oldX1^0==oldX1^post_16 && oldX2^0==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && x0^0==x0^post_16 && x1^0==x1^post_16 && x2^0==x2^post_16 ], cost: 1

Removed unreachable and leaf rules:
   Start location: l6
      1: l2 -> l3 : oldX0^0'=oldX0^post_2, oldX1^0'=oldX1^post_2, oldX2^0'=oldX2^post_2, oldX3^0'=oldX3^post_2, oldX4^0'=oldX4^post_2, oldX5^0'=oldX5^post_2, x0^0'=x0^post_2, x1^0'=x1^post_2, x2^0'=x2^post_2, [ oldX0^post_2==x0^0 && oldX1^post_2==x1^0 && oldX2^post_2==x2^0 && x0^post_2==oldX0^post_2 && x1^post_2==1+oldX1^post_2 && x2^post_2==1+oldX2^post_2 && oldX3^0==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 ], cost: 1
      4: l3 -> l2 : oldX0^0'=oldX0^post_5, oldX1^0'=oldX1^post_5, oldX2^0'=oldX2^post_5, oldX3^0'=oldX3^post_5, oldX4^0'=oldX4^post_5, oldX5^0'=oldX5^post_5, x0^0'=x0^post_5, x1^0'=x1^post_5, x2^0'=x2^post_5, [ oldX0^post_5==x0^0 && oldX1^post_5==x1^0 && oldX2^post_5==x2^0 && oldX1^post_5<=-1+oldX0^post_5 && oldX1^post_5<=oldX1^post_5 && oldX1^post_5<=oldX1^post_5 && x0^post_5==oldX0^post_5 && x1^post_5==oldX1^post_5 && x2^post_5==oldX2^post_5 && oldX3^0==oldX3^post_5 && oldX4^0==oldX4^post_5 && oldX5^0==oldX5^post_5 ], cost: 1
      7: l3 -> l2 : oldX0^0'=oldX0^post_8, oldX1^0'=oldX1^post_8, oldX2^0'=oldX2^post_8, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, oldX5^0'=oldX5^post_8, x0^0'=x0^post_8, x1^0'=x1^post_8, x2^0'=x2^post_8, [ oldX0^post_8==x0^0 && oldX1^post_8==x1^0 && oldX2^post_8==x2^0 && oldX0^post_8<=oldX1^post_8 && -1+oldX0^post_8<=oldX1^post_8 && oldX1^post_8<=-1+oldX0^post_8 && x0^post_8==oldX0^post_8 && x1^post_8==oldX1^post_8 && x2^post_8==oldX2^post_8 && oldX3^0==oldX3^post_8 && oldX4^0==oldX4^post_8 && oldX5^0==oldX5^post_8 ], cost: 1
      8: l4 -> l3 : oldX0^0'=oldX0^post_9, oldX1^0'=oldX1^post_9, oldX2^0'=oldX2^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_9, x0^0'=x0^post_9, x1^0'=x1^post_9, x2^0'=x2^post_9, [ oldX0^post_9==x0^0 && oldX1^post_9==x1^0 && oldX2^post_9==x2^0 && oldX3^post_9==oldX3^post_9 && oldX4^post_9==oldX4^post_9 && x0^post_9==oldX3^post_9 && x1^post_9==oldX4^post_9 && x2^post_9==0 && oldX5^0==oldX5^post_9 ], cost: 1
      9: l5 -> l4 : oldX0^0'=oldX0^post_10, oldX1^0'=oldX1^post_10, oldX2^0'=oldX2^post_10, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, x0^0'=x0^post_10, x1^0'=x1^post_10, x2^0'=x2^post_10, [ oldX0^post_10==x0^0 && oldX1^post_10==x1^0 && oldX2^post_10==x2^0 && oldX3^post_10==oldX3^post_10 && oldX4^post_10==oldX4^post_10 && oldX5^post_10==oldX5^post_10 && x0^post_10==oldX3^post_10 && x1^post_10==oldX4^post_10 && x2^post_10==oldX5^post_10 ], cost: 1
     12: l5 -> l2 : oldX0^0'=oldX0^post_13, oldX1^0'=oldX1^post_13, oldX2^0'=oldX2^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, oldX5^0'=oldX5^post_13, x0^0'=x0^post_13, x1^0'=x1^post_13, x2^0'=x2^post_13, [ oldX0^0==oldX0^post_13 && oldX1^0==oldX1^post_13 && oldX2^0==oldX2^post_13 && oldX3^0==oldX3^post_13 && oldX4^0==oldX4^post_13 && oldX5^0==oldX5^post_13 && x0^0==x0^post_13 && x1^0==x1^post_13 && x2^0==x2^post_13 ], cost: 1
     13: l5 -> l3 : oldX0^0'=oldX0^post_14, oldX1^0'=oldX1^post_14, oldX2^0'=oldX2^post_14, oldX3^0'=oldX3^post_14, oldX4^0'=oldX4^post_14, oldX5^0'=oldX5^post_14, x0^0'=x0^post_14, x1^0'=x1^post_14, x2^0'=x2^post_14, [ oldX0^0==oldX0^post_14 && oldX1^0==oldX1^post_14 && oldX2^0==oldX2^post_14 && oldX3^0==oldX3^post_14 && oldX4^0==oldX4^post_14 && oldX5^0==oldX5^post_14 && x0^0==x0^post_14 && x1^0==x1^post_14 && x2^0==x2^post_14 ], cost: 1
     14: l5 -> l4 : oldX0^0'=oldX0^post_15, oldX1^0'=oldX1^post_15, oldX2^0'=oldX2^post_15, oldX3^0'=oldX3^post_15, oldX4^0'=oldX4^post_15, oldX5^0'=oldX5^post_15, x0^0'=x0^post_15, x1^0'=x1^post_15, x2^0'=x2^post_15, [ oldX0^0==oldX0^post_15 && oldX1^0==oldX1^post_15 && oldX2^0==oldX2^post_15 && oldX3^0==oldX3^post_15 && oldX4^0==oldX4^post_15 && oldX5^0==oldX5^post_15 && x0^0==x0^post_15 && x1^0==x1^post_15 && x2^0==x2^post_15 ], cost: 1
     15: l6 -> l5 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^0==oldX0^post_16 && oldX1^0==oldX1^post_16 && oldX2^0==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && x0^0==x0^post_16 && x1^0==x1^post_16 && x2^0==x2^post_16 ], cost: 1

Removed rules with unsatisfiable guard:
   Start location: l6
      1: l2 -> l3 : oldX0^0'=oldX0^post_2, oldX1^0'=oldX1^post_2, oldX2^0'=oldX2^post_2, oldX3^0'=oldX3^post_2, oldX4^0'=oldX4^post_2, oldX5^0'=oldX5^post_2, x0^0'=x0^post_2, x1^0'=x1^post_2, x2^0'=x2^post_2, [ oldX0^post_2==x0^0 && oldX1^post_2==x1^0 && oldX2^post_2==x2^0 && x0^post_2==oldX0^post_2 && x1^post_2==1+oldX1^post_2 && x2^post_2==1+oldX2^post_2 && oldX3^0==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 ], cost: 1
      4: l3 -> l2 : oldX0^0'=oldX0^post_5, oldX1^0'=oldX1^post_5, oldX2^0'=oldX2^post_5, oldX3^0'=oldX3^post_5, oldX4^0'=oldX4^post_5, oldX5^0'=oldX5^post_5, x0^0'=x0^post_5, x1^0'=x1^post_5, x2^0'=x2^post_5, [ oldX0^post_5==x0^0 && oldX1^post_5==x1^0 && oldX2^post_5==x2^0 && oldX1^post_5<=-1+oldX0^post_5 && oldX1^post_5<=oldX1^post_5 && oldX1^post_5<=oldX1^post_5 && x0^post_5==oldX0^post_5 && x1^post_5==oldX1^post_5 && x2^post_5==oldX2^post_5 && oldX3^0==oldX3^post_5 && oldX4^0==oldX4^post_5 && oldX5^0==oldX5^post_5 ], cost: 1
      8: l4 -> l3 : oldX0^0'=oldX0^post_9, oldX1^0'=oldX1^post_9, oldX2^0'=oldX2^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_9, x0^0'=x0^post_9, x1^0'=x1^post_9, x2^0'=x2^post_9, [ oldX0^post_9==x0^0 && oldX1^post_9==x1^0 && oldX2^post_9==x2^0 && oldX3^post_9==oldX3^post_9 && oldX4^post_9==oldX4^post_9 && x0^post_9==oldX3^post_9 && x1^post_9==oldX4^post_9 && x2^post_9==0 && oldX5^0==oldX5^post_9 ], cost: 1
      9: l5 -> l4 : oldX0^0'=oldX0^post_10, oldX1^0'=oldX1^post_10, oldX2^0'=oldX2^post_10, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, x0^0'=x0^post_10, x1^0'=x1^post_10, x2^0'=x2^post_10, [ oldX0^post_10==x0^0 && oldX1^post_10==x1^0 && oldX2^post_10==x2^0 && oldX3^post_10==oldX3^post_10 && oldX4^post_10==oldX4^post_10 && oldX5^post_10==oldX5^post_10 && x0^post_10==oldX3^post_10 && x1^post_10==oldX4^post_10 && x2^post_10==oldX5^post_10 ], cost: 1
     12: l5 -> l2 : oldX0^0'=oldX0^post_13, oldX1^0'=oldX1^post_13, oldX2^0'=oldX2^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, oldX5^0'=oldX5^post_13, x0^0'=x0^post_13, x1^0'=x1^post_13, x2^0'=x2^post_13, [ oldX0^0==oldX0^post_13 && oldX1^0==oldX1^post_13 && oldX2^0==oldX2^post_13 && oldX3^0==oldX3^post_13 && oldX4^0==oldX4^post_13 && oldX5^0==oldX5^post_13 && x0^0==x0^post_13 && x1^0==x1^post_13 && x2^0==x2^post_13 ], cost: 1
     13: l5 -> l3 : oldX0^0'=oldX0^post_14, oldX1^0'=oldX1^post_14, oldX2^0'=oldX2^post_14, oldX3^0'=oldX3^post_14, oldX4^0'=oldX4^post_14, oldX5^0'=oldX5^post_14, x0^0'=x0^post_14, x1^0'=x1^post_14, x2^0'=x2^post_14, [ oldX0^0==oldX0^post_14 && oldX1^0==oldX1^post_14 && oldX2^0==oldX2^post_14 && oldX3^0==oldX3^post_14 && oldX4^0==oldX4^post_14 && oldX5^0==oldX5^post_14 && x0^0==x0^post_14 && x1^0==x1^post_14 && x2^0==x2^post_14 ], cost: 1
     14: l5 -> l4 : oldX0^0'=oldX0^post_15, oldX1^0'=oldX1^post_15, oldX2^0'=oldX2^post_15, oldX3^0'=oldX3^post_15, oldX4^0'=oldX4^post_15, oldX5^0'=oldX5^post_15, x0^0'=x0^post_15, x1^0'=x1^post_15, x2^0'=x2^post_15, [ oldX0^0==oldX0^post_15 && oldX1^0==oldX1^post_15 && oldX2^0==oldX2^post_15 && oldX3^0==oldX3^post_15 && oldX4^0==oldX4^post_15 && oldX5^0==oldX5^post_15 && x0^0==x0^post_15 && x1^0==x1^post_15 && x2^0==x2^post_15 ], cost: 1
     15: l6 -> l5 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^0==oldX0^post_16 && oldX1^0==oldX1^post_16 && oldX2^0==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && x0^0==x0^post_16 && x1^0==x1^post_16 && x2^0==x2^post_16 ], cost: 1

Simplified all rules, resulting in:
   Start location: l6
      1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 1
      4: l3 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ x1^0<=-1+x0^0 ], cost: 1
      8: l4 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 1
      9: l5 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_10, x1^0'=oldX4^post_10, x2^0'=oldX5^post_10, [], cost: 1
     12: l5 -> l2 : [], cost: 1
     13: l5 -> l3 : [], cost: 1
     14: l5 -> l4 : [], cost: 1
     15: l6 -> l5 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on tree-shaped paths):
   Start location: l6
      1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 1
      4: l3 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ x1^0<=-1+x0^0 ], cost: 1
      8: l4 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 1
     16: l6 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_10, x1^0'=oldX4^post_10, x2^0'=oldX5^post_10, [], cost: 2
     17: l6 -> l2 : [], cost: 2
     18: l6 -> l3 : [], cost: 2
     19: l6 -> l4 : [], cost: 2

Eliminated locations (on tree-shaped paths):
   Start location: l6
      1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 1
      4: l3 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ x1^0<=-1+x0^0 ], cost: 1
     17: l6 -> l2 : [], cost: 2
     18: l6 -> l3 : [], cost: 2
     20: l6 -> l3 : oldX0^0'=oldX3^post_10, oldX1^0'=oldX4^post_10, oldX2^0'=oldX5^post_10, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     21: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3

Eliminated location l2 (as a last resort):
   Start location: l6
     22: l3 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [ x1^0<=-1+x0^0 ], cost: 2
     18: l6 -> l3 : [], cost: 2
     20: l6 -> l3 : oldX0^0'=oldX3^post_10, oldX1^0'=oldX4^post_10, oldX2^0'=oldX5^post_10, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     21: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     23: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 3

Accelerating simple loops of location 3.
   Accelerating the following rules:
     22: l3 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [ x1^0<=-1+x0^0 ], cost: 2

   Accelerated rule 22 with backward acceleration, yielding the new rule 24.
[accelerate] Nesting with 1 inner and 1 outer candidates
   Removing the simple loops: 22.

Accelerated all simple loops using metering functions (where possible):
   Start location: l6
     24: l3 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -x1^0+x0^0>=1 ], cost: -2*x1^0+2*x0^0
     18: l6 -> l3 : [], cost: 2
     20: l6 -> l3 : oldX0^0'=oldX3^post_10, oldX1^0'=oldX4^post_10, oldX2^0'=oldX5^post_10, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     21: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     23: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 3

Chained accelerated rules (with incoming rules):
   Start location: l6
     18: l6 -> l3 : [], cost: 2
     20: l6 -> l3 : oldX0^0'=oldX3^post_10, oldX1^0'=oldX4^post_10, oldX2^0'=oldX5^post_10, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     21: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX4^post_9, x2^0'=0, [], cost: 3
     23: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=1+x1^0, x2^0'=1+x2^0, [], cost: 3
     25: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -x1^0+x0^0>=1 ], cost: 2-2*x1^0+2*x0^0
     26: l6 -> l3 : oldX0^0'=oldX3^post_9, oldX1^0'=-1+oldX3^post_9, oldX2^0'=-1-oldX4^post_9+oldX3^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX3^post_9, x2^0'=-oldX4^post_9+oldX3^post_9, [ -oldX4^post_9+oldX3^post_9>=1 ], cost: 3-2*oldX4^post_9+2*oldX3^post_9
     27: l6 -> l3 : oldX0^0'=oldX3^post_9, oldX1^0'=-1+oldX3^post_9, oldX2^0'=-1-oldX4^post_9+oldX3^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX3^post_9, x2^0'=-oldX4^post_9+oldX3^post_9, [ -oldX4^post_9+oldX3^post_9>=1 ], cost: 3-2*oldX4^post_9+2*oldX3^post_9
     28: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -1-x1^0+x0^0>=1 ], cost: 1-2*x1^0+2*x0^0

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l6
     25: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -x1^0+x0^0>=1 ], cost: 2-2*x1^0+2*x0^0
     26: l6 -> l3 : oldX0^0'=oldX3^post_9, oldX1^0'=-1+oldX3^post_9, oldX2^0'=-1-oldX4^post_9+oldX3^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_10, x0^0'=oldX3^post_9, x1^0'=oldX3^post_9, x2^0'=-oldX4^post_9+oldX3^post_9, [ -oldX4^post_9+oldX3^post_9>=1 ], cost: 3-2*oldX4^post_9+2*oldX3^post_9
     27: l6 -> l3 : oldX0^0'=oldX3^post_9, oldX1^0'=-1+oldX3^post_9, oldX2^0'=-1-oldX4^post_9+oldX3^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX3^post_9, x2^0'=-oldX4^post_9+oldX3^post_9, [ -oldX4^post_9+oldX3^post_9>=1 ], cost: 3-2*oldX4^post_9+2*oldX3^post_9
     28: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -1-x1^0+x0^0>=1 ], cost: 1-2*x1^0+2*x0^0

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l6
     25: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -x1^0+x0^0>=1 ], cost: 2-2*x1^0+2*x0^0
     27: l6 -> l3 : oldX0^0'=oldX3^post_9, oldX1^0'=-1+oldX3^post_9, oldX2^0'=-1-oldX4^post_9+oldX3^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, x0^0'=oldX3^post_9, x1^0'=oldX3^post_9, x2^0'=-oldX4^post_9+oldX3^post_9, [ -oldX4^post_9+oldX3^post_9>=1 ], cost: 3-2*oldX4^post_9+2*oldX3^post_9
     28: l6 -> l3 : oldX0^0'=x0^0, oldX1^0'=-1+x0^0, oldX2^0'=-1-x1^0+x2^0+x0^0, x1^0'=x0^0, x2^0'=-x1^0+x2^0+x0^0, [ -1-x1^0+x0^0>=1 ], cost: 1-2*x1^0+2*x0^0

Computing asymptotic complexity for rule 27
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 25
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 28
   Resulting cost 0 has complexity: Unknown

Obtained the following overall complexity (w.r.t. the length of the input n):
   Complexity:  Constant
   Cpx degree:  0
   Solved cost: 1
   Rule cost:   1
   Rule guard:  [ oldX0^0==oldX0^post_16 && oldX1^0==oldX1^post_16 && oldX2^0==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && x0^0==x0^post_16 && x1^0==x1^post_16 && x2^0==x2^post_16 ]

WORST_CASE(Omega(1),?)