NO

Initial ITS
Start location: l3
   0: l0 -> l1 : x^0'=x^post0, t^0'=t^post0, y^0'=y^post0, (-x^0+x^post0-y^0 == 0 /\ t^0-y^0 <= 0 /\ y^0-y^post0 == 0 /\ -x^0 <= 0 /\ t^0-t^post0 == 0), cost: 1
   1: l1 -> l0 : x^0'=x^post1, t^0'=t^post1, y^0'=y^post1, (y^0-y^post1 == 0 /\ t^0-t^post1 == 0 /\ x^0-x^post1 == 0), cost: 1
   2: l2 -> l0 : x^0'=x^post2, t^0'=t^post2, y^0'=y^post2, (1+t^50-t^40 == 0 /\ -y^post2+y^0 == 0 /\ -1-x^0 <= 0 /\ 1-t^70+t^80 == 0 /\ 1+t^post2-t^90 == 0 /\ x^0-x^post2 == 0 /\ 1+t^90-t^80 == 0 /\ 1+t^30-t^20 == 0 /\ 1-t^30+t^40 == 0 /\ 1-t^60+t^70 == 0 /\ 1-t^50+t^60 == 0 /\ 1+t^10 == 0 /\ 1+t^20-t^10 == 0 /\ t^post2-y^0 <= 0), cost: 1
   3: l3 -> l2 : x^0'=x^post3, t^0'=t^post3, y^0'=y^post3, (t^0-t^post3 == 0 /\ -y^post3+y^0 == 0 /\ x^0-x^post3 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : x^0'=x^post0, t^0'=t^post0, y^0'=y^post0, (-x^0+x^post0-y^0 == 0 /\ t^0-y^0 <= 0 /\ y^0-y^post0 == 0 /\ -x^0 <= 0 /\ t^0-t^post0 == 0), cost: 1
New rule:
l0 -> l1 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 1

Applied preprocessing
Original rule:
l1 -> l0 : x^0'=x^post1, t^0'=t^post1, y^0'=y^post1, (y^0-y^post1 == 0 /\ t^0-t^post1 == 0 /\ x^0-x^post1 == 0), cost: 1
New rule:
l1 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : x^0'=x^post2, t^0'=t^post2, y^0'=y^post2, (1+t^50-t^40 == 0 /\ -y^post2+y^0 == 0 /\ -1-x^0 <= 0 /\ 1-t^70+t^80 == 0 /\ 1+t^post2-t^90 == 0 /\ x^0-x^post2 == 0 /\ 1+t^90-t^80 == 0 /\ 1+t^30-t^20 == 0 /\ 1-t^30+t^40 == 0 /\ 1-t^60+t^70 == 0 /\ 1-t^50+t^60 == 0 /\ 1+t^10 == 0 /\ 1+t^20-t^10 == 0 /\ t^post2-y^0 <= 0), cost: 1
New rule:
l2 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 1

Applied preprocessing
Original rule:
l3 -> l2 : x^0'=x^post3, t^0'=t^post3, y^0'=y^post3, (t^0-t^post3 == 0 /\ -y^post3+y^0 == 0 /\ x^0-x^post3 == 0), cost: 1
New rule:
l3 -> l2 : TRUE, cost: 1

Simplified rules
Start location: l3
   4: l0 -> l1 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 1
   5: l1 -> l0 : TRUE, cost: 1
   6: l2 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 1
   7: l3 -> l2 : TRUE, cost: 1


Eliminating location l2 by chaining:

Applied chaining
First rule:
l3 -> l2 : TRUE, cost: 1
Second rule:
l2 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 1
New rule:
l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2

Applied deletion
Removed the following rules: 6 7

Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 1
Second rule:
l1 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 2

Applied deletion
Removed the following rules: 4 5

Eliminated locations on linear paths
Start location: l3
   9: l0 -> l0 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 2
   8: l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2


Applied acceleration
Original rule:
l0 -> l0 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 2
New rule:
l0 -> l0 : x^0'=x^0+n*y^0, (x^0 >= 0 /\ (-1+n)*y^0+x^0 >= 0 /\ n >= 0 /\ -t^0+y^0 >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_AMkBbf.txt

Applied nonterm
Original rule:
l0 -> l0 : x^0'=x^0+y^0, (x^0 >= 0 /\ t^0-y^0 <= 0), cost: 2
New rule:
l0 -> [4] : (x^0 >= 0 /\ -y^0 <= 0 /\ -t^0+y^0 >= 0), cost: NONTERM
Sub-proof via acceration calculus written to file:///tmp/tmpnam_dcglfm.txt

Applied simplification
Original rule:
l0 -> [4] : (x^0 >= 0 /\ -y^0 <= 0 /\ -t^0+y^0 >= 0), cost: NONTERM
New rule:
l0 -> [4] : (x^0 >= 0 /\ -t^0+y^0 >= 0 /\ y^0 >= 0), cost: NONTERM

Applied deletion
Removed the following rules: 9

Accelerated simple loops
Start location: l3
  10: l0 -> l0 : x^0'=x^0+n*y^0, (x^0 >= 0 /\ (-1+n)*y^0+x^0 >= 0 /\ n >= 0 /\ -t^0+y^0 >= 0), cost: 2*n
  12: l0 -> [4] : (x^0 >= 0 /\ -t^0+y^0 >= 0 /\ y^0 >= 0), cost: NONTERM
   8: l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2


Applied chaining
First rule:
l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2
Second rule:
l0 -> l0 : x^0'=x^0+n*y^0, (x^0 >= 0 /\ (-1+n)*y^0+x^0 >= 0 /\ n >= 0 /\ -t^0+y^0 >= 0), cost: 2*n
New rule:
l3 -> l0 : x^0'=x^0+n*y^0, t^0'=-10, (x^0 >= 0 /\ (-1+n)*y^0+x^0 >= 0 /\ 10+y^0 >= 0 /\ n >= 0), cost: 2+2*n

Applied chaining
First rule:
l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2
Second rule:
l0 -> [4] : (x^0 >= 0 /\ -t^0+y^0 >= 0 /\ y^0 >= 0), cost: NONTERM
New rule:
l3 -> [4] : (x^0 >= 0 /\ y^0 >= 0), cost: NONTERM

Applied deletion
Removed the following rules: 10 12

Chained accelerated rules with incoming rules
Start location: l3
   8: l3 -> l0 : t^0'=-10, (10+y^0 >= 0 /\ 1+x^0 >= 0), cost: 2
  13: l3 -> l0 : x^0'=x^0+n*y^0, t^0'=-10, (x^0 >= 0 /\ (-1+n)*y^0+x^0 >= 0 /\ 10+y^0 >= 0 /\ n >= 0), cost: 2+2*n
  14: l3 -> [4] : (x^0 >= 0 /\ y^0 >= 0), cost: NONTERM


Removed unreachable locations and irrelevant leafs
Start location: l3
  14: l3 -> [4] : (x^0 >= 0 /\ y^0 >= 0), cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 14 via SMT.

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

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  (x^0 >= 0 /\ y^0 >= 0)