WORST_CASE(Omega(0),?)

Initial ITS
Start location: l12
   0: l0 -> l1 : j7^0'=j7^post0, N^0'=N^post0, t10^0'=t10^post0, i^0'=i^post0, N6^0'=N6^post0, min9^0'=min9^post0, i8^0'=i8^post0, tmp^0'=tmp^post0, (-tmp^post0+tmp^0 == 0 /\ -i8^post0+i8^0 == 0 /\ j7^0-j7^post0 == 0 /\ -i^post0+i^0 == 0 /\ t10^0-t10^post0 == 0 /\ -N^post0+N^0 == 0 /\ min9^0-min9^post0 == 0 /\ N6^0-N6^post0 == 0), cost: 1
  13: l1 -> l2 : j7^0'=j7^post13, N^0'=N^post13, t10^0'=t10^post13, i^0'=i^post13, N6^0'=N6^post13, min9^0'=min9^post13, i8^0'=i8^post13, tmp^0'=tmp^post13, (-min9^post13+min9^0 == 0 /\ -i8^post13+i8^0 == 0 /\ j7^post13 == 0 /\ -i^post13+i^0 == 0 /\ t10^0-t10^post13 == 0 /\ -N^0+N6^post13 == 0 /\ N^0-i^0 <= 0 /\ -N^post13+N^0 == 0 /\ -tmp^post13+tmp^0 == 0), cost: 1
  14: l1 -> l0 : j7^0'=j7^post14, N^0'=N^post14, t10^0'=t10^post14, i^0'=i^post14, N6^0'=N6^post14, min9^0'=min9^post14, i8^0'=i8^post14, tmp^0'=tmp^post14, (-1-i^0+i^post14 == 0 /\ N^0-N^post14 == 0 /\ -t10^post14+t10^0 == 0 /\ -tmp^post14+tmp^0 == 0 /\ 1-N^0+i^0 <= 0 /\ -i8^post14+i8^0 == 0 /\ j7^0-j7^post14 == 0 /\ -min9^post14+min9^0 == 0 /\ -N6^post14+N6^0 == 0), cost: 1
   1: l2 -> l3 : j7^0'=j7^post1, N^0'=N^post1, t10^0'=t10^post1, i^0'=i^post1, N6^0'=N6^post1, min9^0'=min9^post1, i8^0'=i8^post1, tmp^0'=tmp^post1, (N^0-N^post1 == 0 /\ j7^0-j7^post1 == 0 /\ i^0-i^post1 == 0 /\ -i8^post1+i8^0 == 0 /\ -tmp^post1+tmp^0 == 0 /\ -min9^post1+min9^0 == 0 /\ -N6^post1+N6^0 == 0 /\ -t10^post1+t10^0 == 0), cost: 1
  11: l3 -> l6 : j7^0'=j7^post11, N^0'=N^post11, t10^0'=t10^post11, i^0'=i^post11, N6^0'=N6^post11, min9^0'=min9^post11, i8^0'=i8^post11, tmp^0'=tmp^post11, (-1-j7^0+N6^0 <= 0 /\ N6^0-N6^post11 == 0 /\ -t10^post11+t10^0 == 0 /\ i^0-i^post11 == 0 /\ N^0-N^post11 == 0 /\ -i8^post11+i8^0 == 0 /\ -tmp^post11+tmp^0 == 0 /\ j7^post11 == 0 /\ -min9^post11+min9^0 == 0), cost: 1
  12: l3 -> l7 : j7^0'=j7^post12, N^0'=N^post12, t10^0'=t10^post12, i^0'=i^post12, N6^0'=N6^post12, min9^0'=min9^post12, i8^0'=i8^post12, tmp^0'=tmp^post12, (N^0-N^post12 == 0 /\ -N6^post12+N6^0 == 0 /\ -t10^post12+t10^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ -1-j7^0+i8^post12 == 0 /\ -j7^post12+j7^0 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -j7^0+min9^post12 == 0 /\ i^0-i^post12 == 0), cost: 1
   2: l4 -> l5 : j7^0'=j7^post2, N^0'=N^post2, t10^0'=t10^post2, i^0'=i^post2, N6^0'=N6^post2, min9^0'=min9^post2, i8^0'=i8^post2, tmp^0'=tmp^post2, (-1-j7^0+N6^0 <= 0 /\ -tmp^post2+tmp^0 == 0 /\ t10^0-t10^post2 == 0 /\ j7^0-j7^post2 == 0 /\ -min9^post2+min9^0 == 0 /\ N6^0-N6^post2 == 0 /\ -N^post2+N^0 == 0 /\ -i8^post2+i8^0 == 0 /\ i^0-i^post2 == 0), cost: 1
   3: l4 -> l6 : j7^0'=j7^post3, N^0'=N^post3, t10^0'=t10^post3, i^0'=i^post3, N6^0'=N6^post3, min9^0'=min9^post3, i8^0'=i8^post3, tmp^0'=tmp^post3, (N^0-N^post3 == 0 /\ -t10^post3+t10^0 == 0 /\ -min9^post3+min9^0 == 0 /\ -i8^post3+i8^0 == 0 /\ -N6^post3+N6^0 == 0 /\ -1-j7^0+j7^post3 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -tmp^post3+tmp^0 == 0 /\ i^0-i^post3 == 0), cost: 1
  10: l6 -> l4 : j7^0'=j7^post10, N^0'=N^post10, t10^0'=t10^post10, i^0'=i^post10, N6^0'=N6^post10, min9^0'=min9^post10, i8^0'=i8^post10, tmp^0'=tmp^post10, (t10^0-t10^post10 == 0 /\ j7^0-j7^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -tmp^post10+tmp^0 == 0 /\ min9^0-min9^post10 == 0 /\ -i^post10+i^0 == 0 /\ -N6^post10+N6^0 == 0 /\ N^0-N^post10 == 0), cost: 1
   4: l7 -> l8 : j7^0'=j7^post4, N^0'=N^post4, t10^0'=t10^post4, i^0'=i^post4, N6^0'=N6^post4, min9^0'=min9^post4, i8^0'=i8^post4, tmp^0'=tmp^post4, (j7^0-j7^post4 == 0 /\ -i^post4+i^0 == 0 /\ t10^0-t10^post4 == 0 /\ N6^0-N6^post4 == 0 /\ -i8^post4+i8^0 == 0 /\ N^0-N^post4 == 0 /\ min9^0-min9^post4 == 0 /\ -tmp^post4+tmp^0 == 0), cost: 1
   8: l8 -> l2 : j7^0'=j7^post8, N^0'=N^post8, t10^0'=t10^post8, i^0'=i^post8, N6^0'=N6^post8, min9^0'=min9^post8, i8^0'=i8^post8, tmp^0'=tmp^post8, (0 == 0 /\ -N6^post8+N6^0 == 0 /\ N6^0-i8^0 <= 0 /\ -1-j7^0+j7^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ -i^post8+i^0 == 0 /\ min9^0-min9^post8 == 0 /\ N^0-N^post8 == 0 /\ -i8^post8+i8^0 == 0), cost: 1
   9: l8 -> l10 : j7^0'=j7^post9, N^0'=N^post9, t10^0'=t10^post9, i^0'=i^post9, N6^0'=N6^post9, min9^0'=min9^post9, i8^0'=i8^post9, tmp^0'=tmp^post9, (-t10^post9+t10^0 == 0 /\ i^0-i^post9 == 0 /\ i8^0-i8^post9 == 0 /\ 1-N6^0+i8^0 <= 0 /\ N^0-N^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j7^0-j7^post9 == 0 /\ -min9^post9+min9^0 == 0 /\ -N6^post9+N6^0 == 0), cost: 1
   5: l9 -> l7 : j7^0'=j7^post5, N^0'=N^post5, t10^0'=t10^post5, i^0'=i^post5, N6^0'=N6^post5, min9^0'=min9^post5, i8^0'=i8^post5, tmp^0'=tmp^post5, (-tmp^post5+tmp^0 == 0 /\ j7^0-j7^post5 == 0 /\ -N6^post5+N6^0 == 0 /\ -min9^post5+min9^0 == 0 /\ i^0-i^post5 == 0 /\ -t10^post5+t10^0 == 0 /\ -1+i8^post5-i8^0 == 0 /\ N^0-N^post5 == 0), cost: 1
   6: l10 -> l9 : j7^0'=j7^post6, N^0'=N^post6, t10^0'=t10^post6, i^0'=i^post6, N6^0'=N6^post6, min9^0'=min9^post6, i8^0'=i8^post6, tmp^0'=tmp^post6, (-i8^0+min9^post6 == 0 /\ -i^post6+i^0 == 0 /\ t10^0-t10^post6 == 0 /\ -i8^post6+i8^0 == 0 /\ j7^0-j7^post6 == 0 /\ -N^post6+N^0 == 0 /\ -tmp^post6+tmp^0 == 0 /\ N6^0-N6^post6 == 0), cost: 1
   7: l10 -> l9 : j7^0'=j7^post7, N^0'=N^post7, t10^0'=t10^post7, i^0'=i^post7, N6^0'=N6^post7, min9^0'=min9^post7, i8^0'=i8^post7, tmp^0'=tmp^post7, (j7^0-j7^post7 == 0 /\ N6^0-N6^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ i8^0-i8^post7 == 0 /\ -t10^post7+t10^0 == 0 /\ i^0-i^post7 == 0 /\ -min9^post7+min9^0 == 0 /\ N^0-N^post7 == 0), cost: 1
  15: l11 -> l0 : j7^0'=j7^post15, N^0'=N^post15, t10^0'=t10^post15, i^0'=i^post15, N6^0'=N6^post15, min9^0'=min9^post15, i8^0'=i8^post15, tmp^0'=tmp^post15, (0 == 0 /\ -N^post15+N^0 == 0 /\ -i8^post15+i8^0 == 0 /\ i^post15 == 0 /\ t10^0-t10^post15 == 0 /\ j7^0-j7^post15 == 0 /\ N6^0-N6^post15 == 0 /\ min9^0-min9^post15 == 0), cost: 1
  16: l12 -> l11 : j7^0'=j7^post16, N^0'=N^post16, t10^0'=t10^post16, i^0'=i^post16, N6^0'=N6^post16, min9^0'=min9^post16, i8^0'=i8^post16, tmp^0'=tmp^post16, (N^0-N^post16 == 0 /\ -min9^post16+min9^0 == 0 /\ -N6^post16+N6^0 == 0 /\ -i8^post16+i8^0 == 0 /\ j7^0-j7^post16 == 0 /\ i^0-i^post16 == 0 /\ -tmp^post16+tmp^0 == 0 /\ -t10^post16+t10^0 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l12
   0: l0 -> l1 : j7^0'=j7^post0, N^0'=N^post0, t10^0'=t10^post0, i^0'=i^post0, N6^0'=N6^post0, min9^0'=min9^post0, i8^0'=i8^post0, tmp^0'=tmp^post0, (-tmp^post0+tmp^0 == 0 /\ -i8^post0+i8^0 == 0 /\ j7^0-j7^post0 == 0 /\ -i^post0+i^0 == 0 /\ t10^0-t10^post0 == 0 /\ -N^post0+N^0 == 0 /\ min9^0-min9^post0 == 0 /\ N6^0-N6^post0 == 0), cost: 1
  13: l1 -> l2 : j7^0'=j7^post13, N^0'=N^post13, t10^0'=t10^post13, i^0'=i^post13, N6^0'=N6^post13, min9^0'=min9^post13, i8^0'=i8^post13, tmp^0'=tmp^post13, (-min9^post13+min9^0 == 0 /\ -i8^post13+i8^0 == 0 /\ j7^post13 == 0 /\ -i^post13+i^0 == 0 /\ t10^0-t10^post13 == 0 /\ -N^0+N6^post13 == 0 /\ N^0-i^0 <= 0 /\ -N^post13+N^0 == 0 /\ -tmp^post13+tmp^0 == 0), cost: 1
  14: l1 -> l0 : j7^0'=j7^post14, N^0'=N^post14, t10^0'=t10^post14, i^0'=i^post14, N6^0'=N6^post14, min9^0'=min9^post14, i8^0'=i8^post14, tmp^0'=tmp^post14, (-1-i^0+i^post14 == 0 /\ N^0-N^post14 == 0 /\ -t10^post14+t10^0 == 0 /\ -tmp^post14+tmp^0 == 0 /\ 1-N^0+i^0 <= 0 /\ -i8^post14+i8^0 == 0 /\ j7^0-j7^post14 == 0 /\ -min9^post14+min9^0 == 0 /\ -N6^post14+N6^0 == 0), cost: 1
   1: l2 -> l3 : j7^0'=j7^post1, N^0'=N^post1, t10^0'=t10^post1, i^0'=i^post1, N6^0'=N6^post1, min9^0'=min9^post1, i8^0'=i8^post1, tmp^0'=tmp^post1, (N^0-N^post1 == 0 /\ j7^0-j7^post1 == 0 /\ i^0-i^post1 == 0 /\ -i8^post1+i8^0 == 0 /\ -tmp^post1+tmp^0 == 0 /\ -min9^post1+min9^0 == 0 /\ -N6^post1+N6^0 == 0 /\ -t10^post1+t10^0 == 0), cost: 1
  11: l3 -> l6 : j7^0'=j7^post11, N^0'=N^post11, t10^0'=t10^post11, i^0'=i^post11, N6^0'=N6^post11, min9^0'=min9^post11, i8^0'=i8^post11, tmp^0'=tmp^post11, (-1-j7^0+N6^0 <= 0 /\ N6^0-N6^post11 == 0 /\ -t10^post11+t10^0 == 0 /\ i^0-i^post11 == 0 /\ N^0-N^post11 == 0 /\ -i8^post11+i8^0 == 0 /\ -tmp^post11+tmp^0 == 0 /\ j7^post11 == 0 /\ -min9^post11+min9^0 == 0), cost: 1
  12: l3 -> l7 : j7^0'=j7^post12, N^0'=N^post12, t10^0'=t10^post12, i^0'=i^post12, N6^0'=N6^post12, min9^0'=min9^post12, i8^0'=i8^post12, tmp^0'=tmp^post12, (N^0-N^post12 == 0 /\ -N6^post12+N6^0 == 0 /\ -t10^post12+t10^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ -1-j7^0+i8^post12 == 0 /\ -j7^post12+j7^0 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -j7^0+min9^post12 == 0 /\ i^0-i^post12 == 0), cost: 1
   3: l4 -> l6 : j7^0'=j7^post3, N^0'=N^post3, t10^0'=t10^post3, i^0'=i^post3, N6^0'=N6^post3, min9^0'=min9^post3, i8^0'=i8^post3, tmp^0'=tmp^post3, (N^0-N^post3 == 0 /\ -t10^post3+t10^0 == 0 /\ -min9^post3+min9^0 == 0 /\ -i8^post3+i8^0 == 0 /\ -N6^post3+N6^0 == 0 /\ -1-j7^0+j7^post3 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -tmp^post3+tmp^0 == 0 /\ i^0-i^post3 == 0), cost: 1
  10: l6 -> l4 : j7^0'=j7^post10, N^0'=N^post10, t10^0'=t10^post10, i^0'=i^post10, N6^0'=N6^post10, min9^0'=min9^post10, i8^0'=i8^post10, tmp^0'=tmp^post10, (t10^0-t10^post10 == 0 /\ j7^0-j7^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -tmp^post10+tmp^0 == 0 /\ min9^0-min9^post10 == 0 /\ -i^post10+i^0 == 0 /\ -N6^post10+N6^0 == 0 /\ N^0-N^post10 == 0), cost: 1
   4: l7 -> l8 : j7^0'=j7^post4, N^0'=N^post4, t10^0'=t10^post4, i^0'=i^post4, N6^0'=N6^post4, min9^0'=min9^post4, i8^0'=i8^post4, tmp^0'=tmp^post4, (j7^0-j7^post4 == 0 /\ -i^post4+i^0 == 0 /\ t10^0-t10^post4 == 0 /\ N6^0-N6^post4 == 0 /\ -i8^post4+i8^0 == 0 /\ N^0-N^post4 == 0 /\ min9^0-min9^post4 == 0 /\ -tmp^post4+tmp^0 == 0), cost: 1
   8: l8 -> l2 : j7^0'=j7^post8, N^0'=N^post8, t10^0'=t10^post8, i^0'=i^post8, N6^0'=N6^post8, min9^0'=min9^post8, i8^0'=i8^post8, tmp^0'=tmp^post8, (0 == 0 /\ -N6^post8+N6^0 == 0 /\ N6^0-i8^0 <= 0 /\ -1-j7^0+j7^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ -i^post8+i^0 == 0 /\ min9^0-min9^post8 == 0 /\ N^0-N^post8 == 0 /\ -i8^post8+i8^0 == 0), cost: 1
   9: l8 -> l10 : j7^0'=j7^post9, N^0'=N^post9, t10^0'=t10^post9, i^0'=i^post9, N6^0'=N6^post9, min9^0'=min9^post9, i8^0'=i8^post9, tmp^0'=tmp^post9, (-t10^post9+t10^0 == 0 /\ i^0-i^post9 == 0 /\ i8^0-i8^post9 == 0 /\ 1-N6^0+i8^0 <= 0 /\ N^0-N^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j7^0-j7^post9 == 0 /\ -min9^post9+min9^0 == 0 /\ -N6^post9+N6^0 == 0), cost: 1
   5: l9 -> l7 : j7^0'=j7^post5, N^0'=N^post5, t10^0'=t10^post5, i^0'=i^post5, N6^0'=N6^post5, min9^0'=min9^post5, i8^0'=i8^post5, tmp^0'=tmp^post5, (-tmp^post5+tmp^0 == 0 /\ j7^0-j7^post5 == 0 /\ -N6^post5+N6^0 == 0 /\ -min9^post5+min9^0 == 0 /\ i^0-i^post5 == 0 /\ -t10^post5+t10^0 == 0 /\ -1+i8^post5-i8^0 == 0 /\ N^0-N^post5 == 0), cost: 1
   6: l10 -> l9 : j7^0'=j7^post6, N^0'=N^post6, t10^0'=t10^post6, i^0'=i^post6, N6^0'=N6^post6, min9^0'=min9^post6, i8^0'=i8^post6, tmp^0'=tmp^post6, (-i8^0+min9^post6 == 0 /\ -i^post6+i^0 == 0 /\ t10^0-t10^post6 == 0 /\ -i8^post6+i8^0 == 0 /\ j7^0-j7^post6 == 0 /\ -N^post6+N^0 == 0 /\ -tmp^post6+tmp^0 == 0 /\ N6^0-N6^post6 == 0), cost: 1
   7: l10 -> l9 : j7^0'=j7^post7, N^0'=N^post7, t10^0'=t10^post7, i^0'=i^post7, N6^0'=N6^post7, min9^0'=min9^post7, i8^0'=i8^post7, tmp^0'=tmp^post7, (j7^0-j7^post7 == 0 /\ N6^0-N6^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ i8^0-i8^post7 == 0 /\ -t10^post7+t10^0 == 0 /\ i^0-i^post7 == 0 /\ -min9^post7+min9^0 == 0 /\ N^0-N^post7 == 0), cost: 1
  15: l11 -> l0 : j7^0'=j7^post15, N^0'=N^post15, t10^0'=t10^post15, i^0'=i^post15, N6^0'=N6^post15, min9^0'=min9^post15, i8^0'=i8^post15, tmp^0'=tmp^post15, (0 == 0 /\ -N^post15+N^0 == 0 /\ -i8^post15+i8^0 == 0 /\ i^post15 == 0 /\ t10^0-t10^post15 == 0 /\ j7^0-j7^post15 == 0 /\ N6^0-N6^post15 == 0 /\ min9^0-min9^post15 == 0), cost: 1
  16: l12 -> l11 : j7^0'=j7^post16, N^0'=N^post16, t10^0'=t10^post16, i^0'=i^post16, N6^0'=N6^post16, min9^0'=min9^post16, i8^0'=i8^post16, tmp^0'=tmp^post16, (N^0-N^post16 == 0 /\ -min9^post16+min9^0 == 0 /\ -N6^post16+N6^0 == 0 /\ -i8^post16+i8^0 == 0 /\ j7^0-j7^post16 == 0 /\ i^0-i^post16 == 0 /\ -tmp^post16+tmp^0 == 0 /\ -t10^post16+t10^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : j7^0'=j7^post0, N^0'=N^post0, t10^0'=t10^post0, i^0'=i^post0, N6^0'=N6^post0, min9^0'=min9^post0, i8^0'=i8^post0, tmp^0'=tmp^post0, (-tmp^post0+tmp^0 == 0 /\ -i8^post0+i8^0 == 0 /\ j7^0-j7^post0 == 0 /\ -i^post0+i^0 == 0 /\ t10^0-t10^post0 == 0 /\ -N^post0+N^0 == 0 /\ min9^0-min9^post0 == 0 /\ N6^0-N6^post0 == 0), cost: 1
New rule:
l0 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l3 : j7^0'=j7^post1, N^0'=N^post1, t10^0'=t10^post1, i^0'=i^post1, N6^0'=N6^post1, min9^0'=min9^post1, i8^0'=i8^post1, tmp^0'=tmp^post1, (N^0-N^post1 == 0 /\ j7^0-j7^post1 == 0 /\ i^0-i^post1 == 0 /\ -i8^post1+i8^0 == 0 /\ -tmp^post1+tmp^0 == 0 /\ -min9^post1+min9^0 == 0 /\ -N6^post1+N6^0 == 0 /\ -t10^post1+t10^0 == 0), cost: 1
New rule:
l2 -> l3 : TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l6 : j7^0'=j7^post3, N^0'=N^post3, t10^0'=t10^post3, i^0'=i^post3, N6^0'=N6^post3, min9^0'=min9^post3, i8^0'=i8^post3, tmp^0'=tmp^post3, (N^0-N^post3 == 0 /\ -t10^post3+t10^0 == 0 /\ -min9^post3+min9^0 == 0 /\ -i8^post3+i8^0 == 0 /\ -N6^post3+N6^0 == 0 /\ -1-j7^0+j7^post3 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -tmp^post3+tmp^0 == 0 /\ i^0-i^post3 == 0), cost: 1
New rule:
l4 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l7 -> l8 : j7^0'=j7^post4, N^0'=N^post4, t10^0'=t10^post4, i^0'=i^post4, N6^0'=N6^post4, min9^0'=min9^post4, i8^0'=i8^post4, tmp^0'=tmp^post4, (j7^0-j7^post4 == 0 /\ -i^post4+i^0 == 0 /\ t10^0-t10^post4 == 0 /\ N6^0-N6^post4 == 0 /\ -i8^post4+i8^0 == 0 /\ N^0-N^post4 == 0 /\ min9^0-min9^post4 == 0 /\ -tmp^post4+tmp^0 == 0), cost: 1
New rule:
l7 -> l8 : TRUE, cost: 1

Applied preprocessing
Original rule:
l9 -> l7 : j7^0'=j7^post5, N^0'=N^post5, t10^0'=t10^post5, i^0'=i^post5, N6^0'=N6^post5, min9^0'=min9^post5, i8^0'=i8^post5, tmp^0'=tmp^post5, (-tmp^post5+tmp^0 == 0 /\ j7^0-j7^post5 == 0 /\ -N6^post5+N6^0 == 0 /\ -min9^post5+min9^0 == 0 /\ i^0-i^post5 == 0 /\ -t10^post5+t10^0 == 0 /\ -1+i8^post5-i8^0 == 0 /\ N^0-N^post5 == 0), cost: 1
New rule:
l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l10 -> l9 : j7^0'=j7^post6, N^0'=N^post6, t10^0'=t10^post6, i^0'=i^post6, N6^0'=N6^post6, min9^0'=min9^post6, i8^0'=i8^post6, tmp^0'=tmp^post6, (-i8^0+min9^post6 == 0 /\ -i^post6+i^0 == 0 /\ t10^0-t10^post6 == 0 /\ -i8^post6+i8^0 == 0 /\ j7^0-j7^post6 == 0 /\ -N^post6+N^0 == 0 /\ -tmp^post6+tmp^0 == 0 /\ N6^0-N6^post6 == 0), cost: 1
New rule:
l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l10 -> l9 : j7^0'=j7^post7, N^0'=N^post7, t10^0'=t10^post7, i^0'=i^post7, N6^0'=N6^post7, min9^0'=min9^post7, i8^0'=i8^post7, tmp^0'=tmp^post7, (j7^0-j7^post7 == 0 /\ N6^0-N6^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ i8^0-i8^post7 == 0 /\ -t10^post7+t10^0 == 0 /\ i^0-i^post7 == 0 /\ -min9^post7+min9^0 == 0 /\ N^0-N^post7 == 0), cost: 1
New rule:
l10 -> l9 : TRUE, cost: 1

Applied preprocessing
Original rule:
l8 -> l2 : j7^0'=j7^post8, N^0'=N^post8, t10^0'=t10^post8, i^0'=i^post8, N6^0'=N6^post8, min9^0'=min9^post8, i8^0'=i8^post8, tmp^0'=tmp^post8, (0 == 0 /\ -N6^post8+N6^0 == 0 /\ N6^0-i8^0 <= 0 /\ -1-j7^0+j7^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ -i^post8+i^0 == 0 /\ min9^0-min9^post8 == 0 /\ N^0-N^post8 == 0 /\ -i8^post8+i8^0 == 0), cost: 1
New rule:
l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l8 -> l10 : j7^0'=j7^post9, N^0'=N^post9, t10^0'=t10^post9, i^0'=i^post9, N6^0'=N6^post9, min9^0'=min9^post9, i8^0'=i8^post9, tmp^0'=tmp^post9, (-t10^post9+t10^0 == 0 /\ i^0-i^post9 == 0 /\ i8^0-i8^post9 == 0 /\ 1-N6^0+i8^0 <= 0 /\ N^0-N^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j7^0-j7^post9 == 0 /\ -min9^post9+min9^0 == 0 /\ -N6^post9+N6^0 == 0), cost: 1
New rule:
l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l6 -> l4 : j7^0'=j7^post10, N^0'=N^post10, t10^0'=t10^post10, i^0'=i^post10, N6^0'=N6^post10, min9^0'=min9^post10, i8^0'=i8^post10, tmp^0'=tmp^post10, (t10^0-t10^post10 == 0 /\ j7^0-j7^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -tmp^post10+tmp^0 == 0 /\ min9^0-min9^post10 == 0 /\ -i^post10+i^0 == 0 /\ -N6^post10+N6^0 == 0 /\ N^0-N^post10 == 0), cost: 1
New rule:
l6 -> l4 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l6 : j7^0'=j7^post11, N^0'=N^post11, t10^0'=t10^post11, i^0'=i^post11, N6^0'=N6^post11, min9^0'=min9^post11, i8^0'=i8^post11, tmp^0'=tmp^post11, (-1-j7^0+N6^0 <= 0 /\ N6^0-N6^post11 == 0 /\ -t10^post11+t10^0 == 0 /\ i^0-i^post11 == 0 /\ N^0-N^post11 == 0 /\ -i8^post11+i8^0 == 0 /\ -tmp^post11+tmp^0 == 0 /\ j7^post11 == 0 /\ -min9^post11+min9^0 == 0), cost: 1
New rule:
l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l7 : j7^0'=j7^post12, N^0'=N^post12, t10^0'=t10^post12, i^0'=i^post12, N6^0'=N6^post12, min9^0'=min9^post12, i8^0'=i8^post12, tmp^0'=tmp^post12, (N^0-N^post12 == 0 /\ -N6^post12+N6^0 == 0 /\ -t10^post12+t10^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ -1-j7^0+i8^post12 == 0 /\ -j7^post12+j7^0 == 0 /\ 2+j7^0-N6^0 <= 0 /\ -j7^0+min9^post12 == 0 /\ i^0-i^post12 == 0), cost: 1
New rule:
l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l2 : j7^0'=j7^post13, N^0'=N^post13, t10^0'=t10^post13, i^0'=i^post13, N6^0'=N6^post13, min9^0'=min9^post13, i8^0'=i8^post13, tmp^0'=tmp^post13, (-min9^post13+min9^0 == 0 /\ -i8^post13+i8^0 == 0 /\ j7^post13 == 0 /\ -i^post13+i^0 == 0 /\ t10^0-t10^post13 == 0 /\ -N^0+N6^post13 == 0 /\ N^0-i^0 <= 0 /\ -N^post13+N^0 == 0 /\ -tmp^post13+tmp^0 == 0), cost: 1
New rule:
l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l0 : j7^0'=j7^post14, N^0'=N^post14, t10^0'=t10^post14, i^0'=i^post14, N6^0'=N6^post14, min9^0'=min9^post14, i8^0'=i8^post14, tmp^0'=tmp^post14, (-1-i^0+i^post14 == 0 /\ N^0-N^post14 == 0 /\ -t10^post14+t10^0 == 0 /\ -tmp^post14+tmp^0 == 0 /\ 1-N^0+i^0 <= 0 /\ -i8^post14+i8^0 == 0 /\ j7^0-j7^post14 == 0 /\ -min9^post14+min9^0 == 0 /\ -N6^post14+N6^0 == 0), cost: 1
New rule:
l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l11 -> l0 : j7^0'=j7^post15, N^0'=N^post15, t10^0'=t10^post15, i^0'=i^post15, N6^0'=N6^post15, min9^0'=min9^post15, i8^0'=i8^post15, tmp^0'=tmp^post15, (0 == 0 /\ -N^post15+N^0 == 0 /\ -i8^post15+i8^0 == 0 /\ i^post15 == 0 /\ t10^0-t10^post15 == 0 /\ j7^0-j7^post15 == 0 /\ N6^0-N6^post15 == 0 /\ min9^0-min9^post15 == 0), cost: 1
New rule:
l11 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 1

Applied preprocessing
Original rule:
l12 -> l11 : j7^0'=j7^post16, N^0'=N^post16, t10^0'=t10^post16, i^0'=i^post16, N6^0'=N6^post16, min9^0'=min9^post16, i8^0'=i8^post16, tmp^0'=tmp^post16, (N^0-N^post16 == 0 /\ -min9^post16+min9^0 == 0 /\ -N6^post16+N6^0 == 0 /\ -i8^post16+i8^0 == 0 /\ j7^0-j7^post16 == 0 /\ i^0-i^post16 == 0 /\ -tmp^post16+tmp^0 == 0 /\ -t10^post16+t10^0 == 0), cost: 1
New rule:
l12 -> l11 : TRUE, cost: 1

Simplified rules
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1
  28: l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  19: l4 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  26: l6 -> l4 : TRUE, cost: 1
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  31: l11 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 1
  32: l12 -> l11 : TRUE, cost: 1


Eliminating location l11 by chaining:

Applied chaining
First rule:
l12 -> l11 : TRUE, cost: 1
Second rule:
l11 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 1
New rule:
l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2

Applied deletion
Removed the following rules: 31 32

Eliminating location l4 by chaining:

Applied chaining
First rule:
l6 -> l4 : TRUE, cost: 1
Second rule:
l4 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
New rule:
l6 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 19 26

Eliminated locations on linear paths
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1
  28: l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  34: l6 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Applied acceleration
Original rule:
l6 -> l6 : j7^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
New rule:
l6 -> l6 : j7^0'=j7^0+n, (n >= 0 /\ -1-j7^0-n+N6^0 >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_HPhLHM.txt

Applied instantiation
Original rule:
l6 -> l6 : j7^0'=j7^0+n, (n >= 0 /\ -1-j7^0-n+N6^0 >= 0), cost: 2*n
New rule:
l6 -> l6 : j7^0'=-1+N6^0, (0 >= 0 /\ -1-j7^0+N6^0 >= 0), cost: -2-2*j7^0+2*N6^0

Applied simplification
Original rule:
l6 -> l6 : j7^0'=-1+N6^0, (0 >= 0 /\ -1-j7^0+N6^0 >= 0), cost: -2-2*j7^0+2*N6^0
New rule:
l6 -> l6 : j7^0'=-1+N6^0, -1-j7^0+N6^0 >= 0, cost: -2-2*j7^0+2*N6^0

Applied deletion
Removed the following rules: 34

Accelerated simple loops
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1
  28: l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  36: l6 -> l6 : j7^0'=-1+N6^0, -1-j7^0+N6^0 >= 0, cost: -2-2*j7^0+2*N6^0
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Applied chaining
First rule:
l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1
Second rule:
l6 -> l6 : j7^0'=-1+N6^0, -1-j7^0+N6^0 >= 0, cost: -2-2*j7^0+2*N6^0
New rule:
l3 -> l6 : j7^0'=-1+N6^0, (-1-j7^0+N6^0 <= 0 /\ -1+N6^0 >= 0), cost: -1+2*N6^0

Applied deletion
Removed the following rules: 36

Chained accelerated rules with incoming rules
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l6 : j7^0'=0, -1-j7^0+N6^0 <= 0, cost: 1
  28: l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  37: l3 -> l6 : j7^0'=-1+N6^0, (-1-j7^0+N6^0 <= 0 /\ -1+N6^0 >= 0), cost: -1+2*N6^0
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Removed unreachable locations and irrelevant leafs
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  28: l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Eliminating location l3 by chaining:

Applied chaining
First rule:
l2 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 1
New rule:
l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 18 28

Eliminated locations on linear paths
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
  30: l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  20: l7 -> l8 : TRUE, cost: 1
  24: l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
  25: l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
  21: l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
  22: l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
  23: l10 -> l9 : TRUE, cost: 1
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : TRUE, cost: 1
Second rule:
l1 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 1
New rule:
l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2

Applied chaining
First rule:
l0 -> l1 : TRUE, cost: 1
Second rule:
l1 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 1
New rule:
l0 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 17 29 30

Eliminating location l8 by chaining:

Applied chaining
First rule:
l7 -> l8 : TRUE, cost: 1
Second rule:
l8 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 1
New rule:
l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2

Applied chaining
First rule:
l7 -> l8 : TRUE, cost: 1
Second rule:
l8 -> l10 : 1-N6^0+i8^0 <= 0, cost: 1
New rule:
l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 20 24 25

Eliminating location l9 by chaining:

Applied chaining
First rule:
l10 -> l9 : min9^0'=i8^0, TRUE, cost: 1
Second rule:
l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
New rule:
l10 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, TRUE, cost: 2

Applied chaining
First rule:
l10 -> l9 : TRUE, cost: 1
Second rule:
l9 -> l7 : i8^0'=1+i8^0, TRUE, cost: 1
New rule:
l10 -> l7 : i8^0'=1+i8^0, TRUE, cost: 2

Applied deletion
Removed the following rules: 21 22 23

Eliminated locations on tree-shaped paths
Start location: l12
  39: l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2
  40: l0 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 2
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  42: l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2
  43: l10 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, TRUE, cost: 2
  44: l10 -> l7 : i8^0'=1+i8^0, TRUE, cost: 2
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : i^0'=1+i^0, 1-N^0+i^0 <= 0, cost: 2
New rule:
l0 -> l0 : i^0'=i^0+n0, (N^0-i^0-n0 >= 0 /\ n0 >= 0), cost: 2*n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_ElmPni.txt

Applied instantiation
Original rule:
l0 -> l0 : i^0'=i^0+n0, (N^0-i^0-n0 >= 0 /\ n0 >= 0), cost: 2*n0
New rule:
l0 -> l0 : i^0'=N^0, (0 >= 0 /\ N^0-i^0 >= 0), cost: 2*N^0-2*i^0

Applied simplification
Original rule:
l0 -> l0 : i^0'=N^0, (0 >= 0 /\ N^0-i^0 >= 0), cost: 2*N^0-2*i^0
New rule:
l0 -> l0 : i^0'=N^0, N^0-i^0 >= 0, cost: 2*N^0-2*i^0

Applied deletion
Removed the following rules: 40

Accelerated simple loops
Start location: l12
  39: l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2
  46: l0 -> l0 : i^0'=N^0, N^0-i^0 >= 0, cost: 2*N^0-2*i^0
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  42: l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2
  43: l10 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, TRUE, cost: 2
  44: l10 -> l7 : i8^0'=1+i8^0, TRUE, cost: 2
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2


Applied chaining
First rule:
l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2
Second rule:
l0 -> l0 : i^0'=N^0, N^0-i^0 >= 0, cost: 2*N^0-2*i^0
New rule:
l12 -> l0 : i^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 2+2*N^0

Applied deletion
Removed the following rules: 46

Chained accelerated rules with incoming rules
Start location: l12
  39: l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  42: l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2
  43: l10 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, TRUE, cost: 2
  44: l10 -> l7 : i8^0'=1+i8^0, TRUE, cost: 2
  33: l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2
  47: l12 -> l0 : i^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 2+2*N^0


Eliminating location l0 by chaining:

Applied chaining
First rule:
l12 -> l0 : i^0'=0, tmp^0'=tmp^post15, 0 == 0, cost: 2
Second rule:
l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2
New rule:
l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, (0 == 0 /\ N^0 <= 0), cost: 4

Applied simplification
Original rule:
l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, (0 == 0 /\ N^0 <= 0), cost: 4
New rule:
l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4

Applied chaining
First rule:
l12 -> l0 : i^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 2+2*N^0
Second rule:
l0 -> l2 : j7^0'=0, N6^0'=N^0, N^0-i^0 <= 0, cost: 2
New rule:
l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, (0 <= 0 /\ N^0 >= 0), cost: 4+2*N^0

Applied simplification
Original rule:
l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, (0 <= 0 /\ N^0 >= 0), cost: 4+2*N^0
New rule:
l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0

Applied deletion
Removed the following rules: 33 39 47

Eliminating location l10 by chaining:

Applied chaining
First rule:
l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2
Second rule:
l10 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, TRUE, cost: 2
New rule:
l7 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4

Applied chaining
First rule:
l7 -> l10 : 1-N6^0+i8^0 <= 0, cost: 2
Second rule:
l10 -> l7 : i8^0'=1+i8^0, TRUE, cost: 2
New rule:
l7 -> l7 : i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4

Applied deletion
Removed the following rules: 42 43 44

Eliminated locations on tree-shaped paths
Start location: l12
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  50: l7 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4
  51: l7 -> l7 : i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0


Applied acceleration
Original rule:
l7 -> l7 : min9^0'=i8^0, i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4
New rule:
l7 -> l7 : min9^0'=-1+n1+i8^0, i8^0'=n1+i8^0, (-1+n1 >= 0 /\ -n1+N6^0-i8^0 >= 0), cost: 4*n1
Sub-proof via acceration calculus written to file:///tmp/tmpnam_fLdCAh.txt

Applied instantiation
Original rule:
l7 -> l7 : min9^0'=-1+n1+i8^0, i8^0'=n1+i8^0, (-1+n1 >= 0 /\ -n1+N6^0-i8^0 >= 0), cost: 4*n1
New rule:
l7 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, (0 >= 0 /\ -1+N6^0-i8^0 >= 0), cost: 4*N6^0-4*i8^0

Applied acceleration
Original rule:
l7 -> l7 : i8^0'=1+i8^0, 1-N6^0+i8^0 <= 0, cost: 4
New rule:
l7 -> l7 : i8^0'=n2+i8^0, (N6^0-n2-i8^0 >= 0 /\ n2 >= 0), cost: 4*n2
Sub-proof via acceration calculus written to file:///tmp/tmpnam_fgCOLe.txt

Applied instantiation
Original rule:
l7 -> l7 : i8^0'=n2+i8^0, (N6^0-n2-i8^0 >= 0 /\ n2 >= 0), cost: 4*n2
New rule:
l7 -> l7 : i8^0'=N6^0, (0 >= 0 /\ N6^0-i8^0 >= 0), cost: 4*N6^0-4*i8^0

Applied simplification
Original rule:
l7 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, (0 >= 0 /\ -1+N6^0-i8^0 >= 0), cost: 4*N6^0-4*i8^0
New rule:
l7 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -1+N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0

Applied simplification
Original rule:
l7 -> l7 : i8^0'=N6^0, (0 >= 0 /\ N6^0-i8^0 >= 0), cost: 4*N6^0-4*i8^0
New rule:
l7 -> l7 : i8^0'=N6^0, N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0

Applied deletion
Removed the following rules: 50 51

Accelerated simple loops
Start location: l12
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  54: l7 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -1+N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0
  55: l7 -> l7 : i8^0'=N6^0, N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0


Applied chaining
First rule:
l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
Second rule:
l7 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -1+N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0
New rule:
l2 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-4*j7^0+4*N6^0

Applied chaining
First rule:
l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
Second rule:
l7 -> l7 : i8^0'=N6^0, N6^0-i8^0 >= 0, cost: 4*N6^0-4*i8^0
New rule:
l2 -> l7 : min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -2-4*j7^0+4*N6^0

Applied deletion
Removed the following rules: 54 55

Chained accelerated rules with incoming rules
Start location: l12
  38: l2 -> l7 : min9^0'=j7^0, i8^0'=1+j7^0, 2+j7^0-N6^0 <= 0, cost: 2
  56: l2 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-4*j7^0+4*N6^0
  57: l2 -> l7 : min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -2-4*j7^0+4*N6^0
  41: l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0


Eliminating location l7 by chaining:

Applied chaining
First rule:
l2 -> l7 : min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-4*j7^0+4*N6^0
Second rule:
l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
New rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (0 <= 0 /\ -2-j7^0+N6^0 >= 0), cost: -4*j7^0+4*N6^0

Applied simplification
Original rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (0 <= 0 /\ -2-j7^0+N6^0 >= 0), cost: -4*j7^0+4*N6^0
New rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -4*j7^0+4*N6^0

Applied chaining
First rule:
l2 -> l7 : min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -2-4*j7^0+4*N6^0
Second rule:
l7 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, N6^0-i8^0 <= 0, cost: 2
New rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=j7^0, i8^0'=N6^0, (0 <= 0 /\ 2+j7^0-N6^0 <= 0), cost: -4*j7^0+4*N6^0

Applied simplification
Original rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=j7^0, i8^0'=N6^0, (0 <= 0 /\ 2+j7^0-N6^0 <= 0), cost: -4*j7^0+4*N6^0
New rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -4*j7^0+4*N6^0

Applied deletion
Removed the following rules: 38 41 56 57

Eliminated locations on tree-shaped paths
Start location: l12
  58: l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -4*j7^0+4*N6^0
  59: l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -4*j7^0+4*N6^0
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0


Applied acceleration
Original rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -4*j7^0+4*N6^0
New rule:
l2 -> l2 : j7^0'=j7^0+n7, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (-1+n7 >= 0 /\ -1-j7^0+N6^0-n7 >= 0), cost: 4*N6^0*n7-4*j7^0*n7+2*n7-2*n7^2
Sub-proof via acceration calculus written to file:///tmp/tmpnam_cCmPLi.txt

Applied instantiation
Original rule:
l2 -> l2 : j7^0'=j7^0+n7, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (-1+n7 >= 0 /\ -1-j7^0+N6^0-n7 >= 0), cost: 4*N6^0*n7-4*j7^0*n7+2*n7-2*n7^2
New rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (0 >= 0 /\ -2-j7^0+N6^0 >= 0), cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0

Applied acceleration
Original rule:
l2 -> l2 : j7^0'=1+j7^0, t10^0'=t10^post8, min9^0'=j7^0, i8^0'=N6^0, 2+j7^0-N6^0 <= 0, cost: -4*j7^0+4*N6^0
New rule:
l2 -> l2 : j7^0'=j7^0+n8, t10^0'=t10^post8, min9^0'=-1+j7^0+n8, i8^0'=N6^0, (-1+n8 >= 0 /\ -1-j7^0-n8+N6^0 >= 0), cost: -2*n8^2+2*n8+4*n8*N6^0-4*j7^0*n8
Sub-proof via acceration calculus written to file:///tmp/tmpnam_AFkaAE.txt

Applied instantiation
Original rule:
l2 -> l2 : j7^0'=j7^0+n8, t10^0'=t10^post8, min9^0'=-1+j7^0+n8, i8^0'=N6^0, (-1+n8 >= 0 /\ -1-j7^0-n8+N6^0 >= 0), cost: -2*n8^2+2*n8+4*n8*N6^0-4*j7^0*n8
New rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-2+N6^0, i8^0'=N6^0, (0 >= 0 /\ -2-j7^0+N6^0 >= 0), cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0

Applied simplification
Original rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, (0 >= 0 /\ -2-j7^0+N6^0 >= 0), cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
New rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0

Applied simplification
Original rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-2+N6^0, i8^0'=N6^0, (0 >= 0 /\ -2-j7^0+N6^0 >= 0), cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
New rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-2+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0

Applied deletion
Removed the following rules: 58 59

Accelerated simple loops
Start location: l12
  62: l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
  63: l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-2+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0


Applied chaining
First rule:
l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0
Second rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-1+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
New rule:
l12 -> l2 : j7^0'=-1+N^0, t10^0'=t10^post8, i^0'=N^0, N6^0'=N^0, min9^0'=-1+N^0, i8^0'=N^0, tmp^0'=tmp^post15, -2+N^0 >= 0, cost: 2+4*N^0-2*(-1+N^0)^2+4*N^0*(-1+N^0)

Applied chaining
First rule:
l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0
Second rule:
l2 -> l2 : j7^0'=-1+N6^0, t10^0'=t10^post8, min9^0'=-2+N6^0, i8^0'=N6^0, -2-j7^0+N6^0 >= 0, cost: -2-2*j7^0+4*j7^0*(1+j7^0-N6^0)-4*N6^0*(1+j7^0-N6^0)-2*(1+j7^0-N6^0)^2+2*N6^0
New rule:
l12 -> l2 : j7^0'=-1+N^0, t10^0'=t10^post8, i^0'=N^0, N6^0'=N^0, min9^0'=-2+N^0, i8^0'=N^0, tmp^0'=tmp^post15, -2+N^0 >= 0, cost: 2+4*N^0-2*(-1+N^0)^2+4*N^0*(-1+N^0)

Applied deletion
Removed the following rules: 62 63

Chained accelerated rules with incoming rules
Start location: l12
  48: l12 -> l2 : j7^0'=0, i^0'=0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 <= 0, cost: 4
  49: l12 -> l2 : j7^0'=0, i^0'=N^0, N6^0'=N^0, tmp^0'=tmp^post15, N^0 >= 0, cost: 4+2*N^0
  64: l12 -> l2 : j7^0'=-1+N^0, t10^0'=t10^post8, i^0'=N^0, N6^0'=N^0, min9^0'=-1+N^0, i8^0'=N^0, tmp^0'=tmp^post15, -2+N^0 >= 0, cost: 2+4*N^0-2*(-1+N^0)^2+4*N^0*(-1+N^0)
  65: l12 -> l2 : j7^0'=-1+N^0, t10^0'=t10^post8, i^0'=N^0, N6^0'=N^0, min9^0'=-2+N^0, i8^0'=N^0, tmp^0'=tmp^post15, -2+N^0 >= 0, cost: 2+4*N^0-2*(-1+N^0)^2+4*N^0*(-1+N^0)


Removed unreachable locations and irrelevant leafs
Start location: l12
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0