WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: l12
      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 && x0^post_1==oldX0^post_1 && x1^post_1==oldX3^post_1+oldX1^post_1 && x2^post_1==-1+oldX2^post_1 && oldX4^0==oldX4^post_1 && oldX5^0==oldX5^post_1 ], cost: 1
      1: l1 -> l2 : 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 && 1+oldX2^post_2<=0 && x0^post_2==oldX0^post_2 && x1^post_2==oldX1^post_2 && x2^post_2==oldX2^post_2 && oldX3^0==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 ], cost: 1
      2: l1 -> 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 && 0<=oldX2^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
      9: l2 -> l9 : 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
      3: l3 -> l1 : 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 && x0^post_4==oldX0^post_4 && x1^post_4==0 && x2^post_4==oldX0^post_4 && oldX3^0==oldX3^post_4 && oldX4^0==oldX4^post_4 && oldX5^0==oldX5^post_4 ], cost: 1
      4: l4 -> l5 : 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 && oldX3^post_5==oldX3^post_5 && oldX4^post_5==oldX4^post_5 && oldX5^post_5==oldX5^post_5 && x0^post_5==oldX3^post_5 && x1^post_5==oldX4^post_5 && x2^post_5==oldX5^post_5 ], cost: 1
      5: l4 -> l6 : 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 && oldX3^post_6==oldX3^post_6 && oldX4^post_6==oldX4^post_6 && x0^post_6==-1+oldX0^post_6 && x1^post_6==oldX3^post_6 && x2^post_6==oldX4^post_6 && oldX5^0==oldX5^post_6 ], cost: 1
     10: l6 -> l8 : 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^post_11==x0^0 && oldX1^post_11==x1^0 && oldX2^post_11==x2^0 && oldX3^post_11==oldX3^post_11 && oldX4^post_11==oldX4^post_11 && x0^post_11==oldX0^post_11 && x1^post_11==oldX3^post_11 && x2^post_11==oldX4^post_11 && oldX5^0==oldX5^post_11 ], cost: 1
      6: l7 -> l5 : 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 && oldX3^post_7==oldX3^post_7 && oldX4^post_7==oldX4^post_7 && oldX5^post_7==oldX5^post_7 && x0^post_7==oldX3^post_7 && x1^post_7==oldX4^post_7 && x2^post_7==oldX5^post_7 ], cost: 1
      7: l8 -> l4 : 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 && oldX3^post_8==oldX3^post_8 && oldX4^post_8==oldX4^post_8 && 1<=oldX0^post_8 && x0^post_8==oldX0^post_8 && x1^post_8==oldX3^post_8 && x2^post_8==oldX4^post_8 && oldX5^0==oldX5^post_8 ], cost: 1
      8: l8 -> l7 : 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 && oldX0^post_9<=0 && x0^post_9==oldX0^post_9 && x1^post_9==oldX3^post_9 && x2^post_9==oldX4^post_9 && oldX5^0==oldX5^post_9 ], cost: 1
     11: l10 -> l11 : 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^post_12==x0^0 && oldX1^post_12==x1^0 && oldX2^post_12==x2^0 && oldX3^post_12==oldX3^post_12 && oldX4^post_12==oldX4^post_12 && oldX5^post_12==oldX5^post_12 && x0^post_12==oldX3^post_12 && x1^post_12==oldX4^post_12 && x2^post_12==oldX5^post_12 ], cost: 1
     12: l10 -> l3 : 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^post_13==x0^0 && oldX1^post_13==x1^0 && oldX2^post_13==x2^0 && oldX3^post_13==oldX3^post_13 && oldX4^post_13==oldX4^post_13 && x0^post_13==oldX0^post_13 && x1^post_13==oldX3^post_13 && x2^post_13==oldX4^post_13 && oldX5^0==oldX5^post_13 ], cost: 1
     13: l10 -> l0 : 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: l10 -> l1 : 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: l10 -> l3 : 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
     16: l10 -> l5 : oldX0^0'=oldX0^post_17, oldX1^0'=oldX1^post_17, oldX2^0'=oldX2^post_17, oldX3^0'=oldX3^post_17, oldX4^0'=oldX4^post_17, oldX5^0'=oldX5^post_17, x0^0'=x0^post_17, x1^0'=x1^post_17, x2^0'=x2^post_17, [ oldX0^0==oldX0^post_17 && oldX1^0==oldX1^post_17 && oldX2^0==oldX2^post_17 && oldX3^0==oldX3^post_17 && oldX4^0==oldX4^post_17 && oldX5^0==oldX5^post_17 && x0^0==x0^post_17 && x1^0==x1^post_17 && x2^0==x2^post_17 ], cost: 1
     17: l10 -> l4 : oldX0^0'=oldX0^post_18, oldX1^0'=oldX1^post_18, oldX2^0'=oldX2^post_18, oldX3^0'=oldX3^post_18, oldX4^0'=oldX4^post_18, oldX5^0'=oldX5^post_18, x0^0'=x0^post_18, x1^0'=x1^post_18, x2^0'=x2^post_18, [ oldX0^0==oldX0^post_18 && oldX1^0==oldX1^post_18 && oldX2^0==oldX2^post_18 && oldX3^0==oldX3^post_18 && oldX4^0==oldX4^post_18 && oldX5^0==oldX5^post_18 && x0^0==x0^post_18 && x1^0==x1^post_18 && x2^0==x2^post_18 ], cost: 1
     18: l10 -> l7 : oldX0^0'=oldX0^post_19, oldX1^0'=oldX1^post_19, oldX2^0'=oldX2^post_19, oldX3^0'=oldX3^post_19, oldX4^0'=oldX4^post_19, oldX5^0'=oldX5^post_19, x0^0'=x0^post_19, x1^0'=x1^post_19, x2^0'=x2^post_19, [ oldX0^0==oldX0^post_19 && oldX1^0==oldX1^post_19 && oldX2^0==oldX2^post_19 && oldX3^0==oldX3^post_19 && oldX4^0==oldX4^post_19 && oldX5^0==oldX5^post_19 && x0^0==x0^post_19 && x1^0==x1^post_19 && x2^0==x2^post_19 ], cost: 1
     19: l10 -> l8 : oldX0^0'=oldX0^post_20, oldX1^0'=oldX1^post_20, oldX2^0'=oldX2^post_20, oldX3^0'=oldX3^post_20, oldX4^0'=oldX4^post_20, oldX5^0'=oldX5^post_20, x0^0'=x0^post_20, x1^0'=x1^post_20, x2^0'=x2^post_20, [ oldX0^0==oldX0^post_20 && oldX1^0==oldX1^post_20 && oldX2^0==oldX2^post_20 && oldX3^0==oldX3^post_20 && oldX4^0==oldX4^post_20 && oldX5^0==oldX5^post_20 && x0^0==x0^post_20 && x1^0==x1^post_20 && x2^0==x2^post_20 ], cost: 1
     20: l10 -> l11 : oldX0^0'=oldX0^post_21, oldX1^0'=oldX1^post_21, oldX2^0'=oldX2^post_21, oldX3^0'=oldX3^post_21, oldX4^0'=oldX4^post_21, oldX5^0'=oldX5^post_21, x0^0'=x0^post_21, x1^0'=x1^post_21, x2^0'=x2^post_21, [ oldX0^0==oldX0^post_21 && oldX1^0==oldX1^post_21 && oldX2^0==oldX2^post_21 && oldX3^0==oldX3^post_21 && oldX4^0==oldX4^post_21 && oldX5^0==oldX5^post_21 && x0^0==x0^post_21 && x1^0==x1^post_21 && x2^0==x2^post_21 ], cost: 1
     21: l10 -> l9 : oldX0^0'=oldX0^post_22, oldX1^0'=oldX1^post_22, oldX2^0'=oldX2^post_22, oldX3^0'=oldX3^post_22, oldX4^0'=oldX4^post_22, oldX5^0'=oldX5^post_22, x0^0'=x0^post_22, x1^0'=x1^post_22, x2^0'=x2^post_22, [ oldX0^0==oldX0^post_22 && oldX1^0==oldX1^post_22 && oldX2^0==oldX2^post_22 && oldX3^0==oldX3^post_22 && oldX4^0==oldX4^post_22 && oldX5^0==oldX5^post_22 && x0^0==x0^post_22 && x1^0==x1^post_22 && x2^0==x2^post_22 ], cost: 1
     22: l10 -> l2 : oldX0^0'=oldX0^post_23, oldX1^0'=oldX1^post_23, oldX2^0'=oldX2^post_23, oldX3^0'=oldX3^post_23, oldX4^0'=oldX4^post_23, oldX5^0'=oldX5^post_23, x0^0'=x0^post_23, x1^0'=x1^post_23, x2^0'=x2^post_23, [ oldX0^0==oldX0^post_23 && oldX1^0==oldX1^post_23 && oldX2^0==oldX2^post_23 && oldX3^0==oldX3^post_23 && oldX4^0==oldX4^post_23 && oldX5^0==oldX5^post_23 && x0^0==x0^post_23 && x1^0==x1^post_23 && x2^0==x2^post_23 ], cost: 1
     23: l10 -> l6 : oldX0^0'=oldX0^post_24, oldX1^0'=oldX1^post_24, oldX2^0'=oldX2^post_24, oldX3^0'=oldX3^post_24, oldX4^0'=oldX4^post_24, oldX5^0'=oldX5^post_24, x0^0'=x0^post_24, x1^0'=x1^post_24, x2^0'=x2^post_24, [ oldX0^0==oldX0^post_24 && oldX1^0==oldX1^post_24 && oldX2^0==oldX2^post_24 && oldX3^0==oldX3^post_24 && oldX4^0==oldX4^post_24 && oldX5^0==oldX5^post_24 && x0^0==x0^post_24 && x1^0==x1^post_24 && x2^0==x2^post_24 ], cost: 1
     24: l12 -> l10 : oldX0^0'=oldX0^post_25, oldX1^0'=oldX1^post_25, oldX2^0'=oldX2^post_25, oldX3^0'=oldX3^post_25, oldX4^0'=oldX4^post_25, oldX5^0'=oldX5^post_25, x0^0'=x0^post_25, x1^0'=x1^post_25, x2^0'=x2^post_25, [ oldX0^0==oldX0^post_25 && oldX1^0==oldX1^post_25 && oldX2^0==oldX2^post_25 && oldX3^0==oldX3^post_25 && oldX4^0==oldX4^post_25 && oldX5^0==oldX5^post_25 && x0^0==x0^post_25 && x1^0==x1^post_25 && x2^0==x2^post_25 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
     24: l12 -> l10 : oldX0^0'=oldX0^post_25, oldX1^0'=oldX1^post_25, oldX2^0'=oldX2^post_25, oldX3^0'=oldX3^post_25, oldX4^0'=oldX4^post_25, oldX5^0'=oldX5^post_25, x0^0'=x0^post_25, x1^0'=x1^post_25, x2^0'=x2^post_25, [ oldX0^0==oldX0^post_25 && oldX1^0==oldX1^post_25 && oldX2^0==oldX2^post_25 && oldX3^0==oldX3^post_25 && oldX4^0==oldX4^post_25 && oldX5^0==oldX5^post_25 && x0^0==x0^post_25 && x1^0==x1^post_25 && x2^0==x2^post_25 ], cost: 1

Removed unreachable and leaf rules:
   Start location: l12
      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 && x0^post_1==oldX0^post_1 && x1^post_1==oldX3^post_1+oldX1^post_1 && x2^post_1==-1+oldX2^post_1 && oldX4^0==oldX4^post_1 && oldX5^0==oldX5^post_1 ], cost: 1
      2: l1 -> 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 && 0<=oldX2^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 -> l1 : 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 && x0^post_4==oldX0^post_4 && x1^post_4==0 && x2^post_4==oldX0^post_4 && oldX3^0==oldX3^post_4 && oldX4^0==oldX4^post_4 && oldX5^0==oldX5^post_4 ], cost: 1
      5: l4 -> l6 : 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 && oldX3^post_6==oldX3^post_6 && oldX4^post_6==oldX4^post_6 && x0^post_6==-1+oldX0^post_6 && x1^post_6==oldX3^post_6 && x2^post_6==oldX4^post_6 && oldX5^0==oldX5^post_6 ], cost: 1
     10: l6 -> l8 : 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^post_11==x0^0 && oldX1^post_11==x1^0 && oldX2^post_11==x2^0 && oldX3^post_11==oldX3^post_11 && oldX4^post_11==oldX4^post_11 && x0^post_11==oldX0^post_11 && x1^post_11==oldX3^post_11 && x2^post_11==oldX4^post_11 && oldX5^0==oldX5^post_11 ], cost: 1
      7: l8 -> l4 : 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 && oldX3^post_8==oldX3^post_8 && oldX4^post_8==oldX4^post_8 && 1<=oldX0^post_8 && x0^post_8==oldX0^post_8 && x1^post_8==oldX3^post_8 && x2^post_8==oldX4^post_8 && oldX5^0==oldX5^post_8 ], cost: 1
     12: l10 -> l3 : 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^post_13==x0^0 && oldX1^post_13==x1^0 && oldX2^post_13==x2^0 && oldX3^post_13==oldX3^post_13 && oldX4^post_13==oldX4^post_13 && x0^post_13==oldX0^post_13 && x1^post_13==oldX3^post_13 && x2^post_13==oldX4^post_13 && oldX5^0==oldX5^post_13 ], cost: 1
     13: l10 -> l0 : 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: l10 -> l1 : 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: l10 -> l3 : 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
     17: l10 -> l4 : oldX0^0'=oldX0^post_18, oldX1^0'=oldX1^post_18, oldX2^0'=oldX2^post_18, oldX3^0'=oldX3^post_18, oldX4^0'=oldX4^post_18, oldX5^0'=oldX5^post_18, x0^0'=x0^post_18, x1^0'=x1^post_18, x2^0'=x2^post_18, [ oldX0^0==oldX0^post_18 && oldX1^0==oldX1^post_18 && oldX2^0==oldX2^post_18 && oldX3^0==oldX3^post_18 && oldX4^0==oldX4^post_18 && oldX5^0==oldX5^post_18 && x0^0==x0^post_18 && x1^0==x1^post_18 && x2^0==x2^post_18 ], cost: 1
     19: l10 -> l8 : oldX0^0'=oldX0^post_20, oldX1^0'=oldX1^post_20, oldX2^0'=oldX2^post_20, oldX3^0'=oldX3^post_20, oldX4^0'=oldX4^post_20, oldX5^0'=oldX5^post_20, x0^0'=x0^post_20, x1^0'=x1^post_20, x2^0'=x2^post_20, [ oldX0^0==oldX0^post_20 && oldX1^0==oldX1^post_20 && oldX2^0==oldX2^post_20 && oldX3^0==oldX3^post_20 && oldX4^0==oldX4^post_20 && oldX5^0==oldX5^post_20 && x0^0==x0^post_20 && x1^0==x1^post_20 && x2^0==x2^post_20 ], cost: 1
     23: l10 -> l6 : oldX0^0'=oldX0^post_24, oldX1^0'=oldX1^post_24, oldX2^0'=oldX2^post_24, oldX3^0'=oldX3^post_24, oldX4^0'=oldX4^post_24, oldX5^0'=oldX5^post_24, x0^0'=x0^post_24, x1^0'=x1^post_24, x2^0'=x2^post_24, [ oldX0^0==oldX0^post_24 && oldX1^0==oldX1^post_24 && oldX2^0==oldX2^post_24 && oldX3^0==oldX3^post_24 && oldX4^0==oldX4^post_24 && oldX5^0==oldX5^post_24 && x0^0==x0^post_24 && x1^0==x1^post_24 && x2^0==x2^post_24 ], cost: 1
     24: l12 -> l10 : oldX0^0'=oldX0^post_25, oldX1^0'=oldX1^post_25, oldX2^0'=oldX2^post_25, oldX3^0'=oldX3^post_25, oldX4^0'=oldX4^post_25, oldX5^0'=oldX5^post_25, x0^0'=x0^post_25, x1^0'=x1^post_25, x2^0'=x2^post_25, [ oldX0^0==oldX0^post_25 && oldX1^0==oldX1^post_25 && oldX2^0==oldX2^post_25 && oldX3^0==oldX3^post_25 && oldX4^0==oldX4^post_25 && oldX5^0==oldX5^post_25 && x0^0==x0^post_25 && x1^0==x1^post_25 && x2^0==x2^post_25 ], cost: 1

Simplified all rules, resulting in:
   Start location: l12
      0: l0 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 1
      2: l1 -> l0 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 0<=x2^0 ], cost: 1
      3: l3 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 1
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     12: l10 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=oldX3^post_13, x2^0'=oldX4^post_13, [], cost: 1
     13: l10 -> l0 : [], cost: 1
     14: l10 -> l1 : [], cost: 1
     15: l10 -> l3 : [], cost: 1
     17: l10 -> l4 : [], cost: 1
     19: l10 -> l8 : [], cost: 1
     23: l10 -> l6 : [], cost: 1
     24: l12 -> l10 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on tree-shaped paths):
   Start location: l12
      0: l0 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 1
      2: l1 -> l0 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 0<=x2^0 ], cost: 1
      3: l3 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 1
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     25: l12 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=oldX3^post_13, x2^0'=oldX4^post_13, [], cost: 2
     26: l12 -> l0 : [], cost: 2
     27: l12 -> l1 : [], cost: 2
     28: l12 -> l3 : [], cost: 2
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2

Eliminated locations (on tree-shaped paths):
   Start location: l12
      0: l0 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 1
      2: l1 -> l0 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 0<=x2^0 ], cost: 1
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     26: l12 -> l0 : [], cost: 2
     27: l12 -> l1 : [], cost: 2
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     32: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_13, oldX2^0'=oldX4^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=0, x2^0'=x0^0, [], cost: 3
     33: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 3

Eliminated location l0 (as a last resort):
   Start location: l12
     34: l1 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [ 0<=x2^0 ], cost: 2
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     27: l12 -> l1 : [], cost: 2
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     32: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_13, oldX2^0'=oldX4^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=0, x2^0'=x0^0, [], cost: 3
     33: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 3
     35: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 3

Accelerating simple loops of location 1.
   Accelerating the following rules:
     34: l1 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [ 0<=x2^0 ], cost: 2

   Accelerated rule 34 with backward acceleration, yielding the new rule 36.
[accelerate] Nesting with 1 inner and 1 outer candidates
   Removing the simple loops: 34.

Accelerated all simple loops using metering functions (where possible):
   Start location: l12
     36: l1 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 2+2*x2^0
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     27: l12 -> l1 : [], cost: 2
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     32: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_13, oldX2^0'=oldX4^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=0, x2^0'=x0^0, [], cost: 3
     33: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 3
     35: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 3

Chained accelerated rules (with incoming rules):
   Start location: l12
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     27: l12 -> l1 : [], cost: 2
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     32: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_13, oldX2^0'=oldX4^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, x1^0'=0, x2^0'=x0^0, [], cost: 3
     33: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x1^0'=0, x2^0'=x0^0, [], cost: 3
     35: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+oldX3^post_1, x2^0'=-1+x2^0, [], cost: 3
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l12
      5: l4 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 1
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
      7: l8 -> l4 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, x1^0'=oldX3^post_8, x2^0'=oldX4^post_8, [ 1<=x0^0 ], cost: 1
     29: l12 -> l4 : [], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0

Eliminated location l4 (as a last resort):
   Start location: l12
     10: l6 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 1
     41: l8 -> l6 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_8, oldX2^0'=oldX4^post_8, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [ 1<=x0^0 ], cost: 2
     30: l12 -> l8 : [], cost: 2
     31: l12 -> l6 : [], cost: 2
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     42: l12 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_6, oldX4^0'=oldX4^post_6, x0^0'=-1+x0^0, x1^0'=x1^post_6, x2^0'=oldX4^post_6, [], cost: 3

Eliminated location l6 (as a last resort):
   Start location: l12
     44: l8 -> l8 : oldX0^0'=-1+x0^0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=-1+x0^0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ 1<=x0^0 ], cost: 3
     30: l12 -> l8 : [], cost: 2
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     43: l12 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 3
     45: l12 -> l8 : oldX0^0'=-1+x0^0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=-1+x0^0, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 4

Accelerating simple loops of location 8.
   Accelerating the following rules:
     44: l8 -> l8 : oldX0^0'=-1+x0^0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=-1+x0^0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ 1<=x0^0 ], cost: 3

   Accelerated rule 44 with backward acceleration, yielding the new rule 46.
[accelerate] Nesting with 1 inner and 1 outer candidates
   Removing the simple loops: 44.

Accelerated all simple loops using metering functions (where possible):
   Start location: l12
     46: l8 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 3*x0^0
     30: l12 -> l8 : [], cost: 2
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     43: l12 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 3
     45: l12 -> l8 : oldX0^0'=-1+x0^0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=-1+x0^0, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 4

Chained accelerated rules (with incoming rules):
   Start location: l12
     30: l12 -> l8 : [], cost: 2
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     43: l12 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 3
     45: l12 -> l8 : oldX0^0'=-1+x0^0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=-1+x0^0, x1^0'=x1^post_11, x2^0'=x2^post_11, [], cost: 4
     47: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 2+3*x0^0
     48: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 3+3*x0^0
     49: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ -1+x0^0>=1 ], cost: 1+3*x0^0

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l12
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     38: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_13, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     47: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 2+3*x0^0
     48: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 3+3*x0^0
     49: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ -1+x0^0>=1 ], cost: 1+3*x0^0

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l12
     37: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x2^0*oldX3^post_1+x1^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x1^0+(1+x2^0)*oldX3^post_1, x2^0'=-1, [ 1+x2^0>=1 ], cost: 4+2*x2^0
     39: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=oldX3^post_1*x0^0, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=(1+x0^0)*oldX3^post_1, x2^0'=-1, [ 1+x0^0>=1 ], cost: 5+2*x0^0
     40: l12 -> l1 : oldX0^0'=x0^0, oldX1^0'=x1^0+oldX3^post_1*(-1+x2^0)+oldX3^post_1, oldX2^0'=0, oldX3^0'=oldX3^post_1, x1^0'=x2^0*oldX3^post_1+x1^0+oldX3^post_1, x2^0'=-1, [ x2^0>=1 ], cost: 3+2*x2^0
     48: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ x0^0>=1 ], cost: 3+3*x0^0
     49: l12 -> l8 : oldX0^0'=0, oldX1^0'=x1^post_6, oldX2^0'=oldX4^post_6, oldX3^0'=x1^post_11, oldX4^0'=x2^post_11, x0^0'=0, x1^0'=x1^post_11, x2^0'=x2^post_11, [ -1+x0^0>=1 ], cost: 1+3*x0^0

Computing asymptotic complexity for rule 37
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 39
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 40
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 48
   Resulting cost 0 has complexity: Unknown

Computing asymptotic complexity for rule 49
   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_25 && oldX1^0==oldX1^post_25 && oldX2^0==oldX2^post_25 && oldX3^0==oldX3^post_25 && oldX4^0==oldX4^post_25 && oldX5^0==oldX5^post_25 && x0^0==x0^post_25 && x1^0==x1^post_25 && x2^0==x2^post_25 ]

WORST_CASE(Omega(1),?)