NO

Initial ITS

Start location: l3
Program variables: p^0
   0: l0 -> l1 : p^0'=p^post1, -p^post1+p^0 == 0, cost: 1
   1: l1 -> l0 : p^0'=p^post2, p^0-p^post2 == 0, cost: 1
   2: l2 -> l0 : p^0'=p^post3, (-1+p^2 == 0 /\ p^1 == 0 /\ p^post3 == 0), cost: 1
   3: l3 -> l2 : p^0'=p^post4, -p^post4+p^0 == 0, cost: 1

Chained Linear Paths

Start location: l3
Program variables: p^0
   5: l0 -> l0 : p^0'=p^post2, (-p^post1+p^0 == 0 /\ p^post1-p^post2 == 0), cost: 1
   4: l3 -> l0 : p^0'=p^post3, (-1+p^2 == 0 /\ p^1 == 0 /\ p^post3 == 0 /\ -p^post4+p^0 == 0), cost: 1

	Eliminating location l2 by chaining:

	Applied chaining

	First rule:
	l3 -> l2 : p^0'=p^post4, -p^post4+p^0 == 0, cost: 1
	Second rule:
	l2 -> l0 : p^0'=p^post3, (-1+p^2 == 0 /\ p^1 == 0 /\ p^post3 == 0), cost: 1
	New rule:
	l3 -> l0 : p^0'=p^post3, (-1+p^2 == 0 /\ p^1 == 0 /\ p^post3 == 0 /\ -p^post4+p^0 == 0), cost: 1
	
	Applied deletion

	Removed the following rules: 2 3
	
	Eliminating location l1 by chaining:

	Applied chaining

	First rule:
	l0 -> l1 : p^0'=p^post1, -p^post1+p^0 == 0, cost: 1
	Second rule:
	l1 -> l0 : p^0'=p^post2, p^0-p^post2 == 0, cost: 1
	New rule:
	l0 -> l0 : p^0'=p^post2, (-p^post1+p^0 == 0 /\ p^post1-p^post2 == 0), cost: 1
	
	Applied deletion

	Removed the following rules: 0 1

Simplified Transitions

Start location: l3
Program variables: p^0
   7: l0 -> l0 : T, cost: 1
   6: l3 -> l0 : p^0'=0, T, cost: 1

	Propagated Equalities

	Original rule:
	l3 -> l0 : p^0'=p^post3, (-1+p^2 == 0 /\ p^1 == 0 /\ p^post3 == 0 /\ -p^post4+p^0 == 0), cost: 1
	New rule:
	l3 -> l0 : p^0'=0, (0 == 0 /\ -1+p^2 == 0 /\ p^1 == 0 /\ -p^post4+p^0 == 0), cost: 1
	
		propagated equality p^post3 = 0
		
	Propagated Equalities

	Original rule:
	l3 -> l0 : p^0'=0, (0 == 0 /\ -1+p^2 == 0 /\ p^1 == 0 /\ -p^post4+p^0 == 0), cost: 1
	New rule:
	l3 -> l0 : p^0'=0, 0 == 0, cost: 1
	
		propagated equality p^2 = 1
		
		propagated equality p^1 = 0
		
		propagated equality p^post4 = p^0
		
	Simplified Guard

	Original rule:
	l3 -> l0 : p^0'=0, 0 == 0, cost: 1
	New rule:
	l3 -> l0 : p^0'=0, T, cost: 1
	
	Propagated Equalities

	Original rule:
	l0 -> l0 : p^0'=p^post2, (-p^post1+p^0 == 0 /\ p^post1-p^post2 == 0), cost: 1
	New rule:
	l0 -> l0 : p^0'=p^post1, (0 == 0 /\ -p^post1+p^0 == 0), cost: 1
	
		propagated equality p^post2 = p^post1
		
	Propagated Equalities

	Original rule:
	l0 -> l0 : p^0'=p^post1, (0 == 0 /\ -p^post1+p^0 == 0), cost: 1
	New rule:
	l0 -> l0 : p^0'=p^0, 0 == 0, cost: 1
	
		propagated equality p^post1 = p^0
		
	Simplified Guard

	Original rule:
	l0 -> l0 : p^0'=p^0, 0 == 0, cost: 1
	New rule:
	l0 -> l0 : p^0'=p^0, T, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l0 -> l0 : p^0'=p^0, T, cost: 1
	New rule:
	l0 -> l0 : T, cost: 1

Step with 6

	Trace

	6[T]
	
	Blocked

	[{}, {}]

Step with 7

	Trace

	6[T], 7[T]
	
	Blocked

	[{}, {}, {}]

Nonterm

Start location: l3
Program variables: p^0
   7: l0 -> l0 : T, cost: 1
   8: l0 -> LoAT_sink : -1+n >= 0, cost: NONTERM
   6: l3 -> l0 : p^0'=0, T, cost: 1

	Certificate of Non-Termination

	Original rule:
	l0 -> l0 : T, cost: 1
	New rule:
	l0 -> LoAT_sink : -1+n >= 0, cost: NONTERM

		Replacement map: {}

Step with 8

	Trace

	6[T], 8[-1+n >= 0]
	
	Blocked

	[{}, {}, {8[T]}]

Refute

	Counterexample

	[ p^0=0 ] 6 [ p^0=p^0 ] 8
	
NO

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