NO

Initial ITS

Start location: l4
Program variables:
   0: l0 -> l1 : 0 <= 0, cost: 1
   2: l0 -> l2 : 0 <= 0, cost: 1
   1: l1 -> l0 : 0 <= 0, cost: 1
   3: l2 -> l0 : 0 <= 0, cost: 1
   4: l3 -> l2 : 0 <= 0, cost: 1
   5: l4 -> l3 : 0 <= 0, cost: 1

Chained Linear Paths

Start location: l4
Program variables:
   2: l0 -> l2 : 0 <= 0, cost: 1
   7: l0 -> l0 : 0 <= 0, cost: 1
   3: l2 -> l0 : 0 <= 0, cost: 1
   6: l4 -> l2 : 0 <= 0, cost: 1

	Eliminating location l3 by chaining:

	Applied chaining

	First rule:
	l4 -> l3 : 0 <= 0, cost: 1
	Second rule:
	l3 -> l2 : 0 <= 0, cost: 1
	New rule:
	l4 -> l2 : 0 <= 0, cost: 1
	
	Applied deletion

	Removed the following rules: 4 5
	
	Eliminating location l1 by chaining:

	Applied chaining

	First rule:
	l0 -> l1 : 0 <= 0, cost: 1
	Second rule:
	l1 -> l0 : 0 <= 0, cost: 1
	New rule:
	l0 -> l0 : 0 <= 0, cost: 1
	
	Applied deletion

	Removed the following rules: 0 1

Simplified Transitions

Start location: l4
Program variables:
   8: l0 -> l2 : T, cost: 1
  11: l0 -> l0 : T, cost: 1
   9: l2 -> l0 : T, cost: 1
  10: l4 -> l2 : T, cost: 1

	Simplified Guard

	Original rule:
	l0 -> l2 : 0 <= 0, cost: 1
	New rule:
	l0 -> l2 : T, cost: 1
	
	Simplified Guard

	Original rule:
	l2 -> l0 : 0 <= 0, cost: 1
	New rule:
	l2 -> l0 : T, cost: 1
	
	Simplified Guard

	Original rule:
	l4 -> l2 : 0 <= 0, cost: 1
	New rule:
	l4 -> l2 : T, cost: 1
	
	Simplified Guard

	Original rule:
	l0 -> l0 : 0 <= 0, cost: 1
	New rule:
	l0 -> l0 : T, cost: 1

Step with 10

	Trace

	10[T]
	
	Blocked

	[{}, {}]

Step with 9

	Trace

	10[T], 9[T]
	
	Blocked

	[{}, {}, {}]

Step with 8

	Trace

	10[T], 9[T], 8[T]
	
	Blocked

	[{}, {}, {}, {}]

Nonterm

Start location: l4
Program variables:
   8: l0 -> l2 : T, cost: 1
  11: l0 -> l0 : T, cost: 1
   9: l2 -> l0 : T, cost: 1
  12: l2 -> LoAT_sink : -1+n >= 0, cost: NONTERM
  10: l4 -> l2 : T, cost: 1

	Certificate of Non-Termination

	Original rule:
	l2 -> l2 : T, cost: 1
	New rule:
	l2 -> LoAT_sink : -1+n >= 0, cost: NONTERM

		Replacement map: {}

Step with 12

	Trace

	10[T], 12[-1+n >= 0]
	
	Blocked

	[{}, {}, {12[T]}]

Refute

	Counterexample

	[ ] 10 [ ] 12
	
NO

Build SHA: a05f16bf13df659c382799650051f91bf6828c7b