NO

Initial ITS

Start location: __init
Program variables: arg1 arg2
   0: f1_0_main_ConstantStackPush -> f33_0_even_NE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1-arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1
   1: f33_0_even_NE -> f33_0_even_NE : arg1'=arg1p2, arg2'=arg2p2, (-2 < 0 /\ -3+arg1 < 0 /\ -2-arg1p2+arg1 == 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
   2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1

Chained Linear Paths

Start location: __init
Program variables: arg1 arg2
   1: f33_0_even_NE -> f33_0_even_NE : arg1'=arg1p2, arg2'=arg2p2, (-2 < 0 /\ -3+arg1 < 0 /\ -2-arg1p2+arg1 == 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
   3: __init -> f33_0_even_NE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ -arg1p1-arg2p3 == 0), cost: 1

	Eliminating location f1_0_main_ConstantStackPush by chaining:

	Applied chaining

	First rule:
	__init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1
	Second rule:
	f1_0_main_ConstantStackPush -> f33_0_even_NE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1-arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1
	New rule:
	__init -> f33_0_even_NE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ -arg1p1-arg2p3 == 0), cost: 1
	
	Applied deletion

	Removed the following rules: 0 2

Simplified Transitions

Start location: __init
Program variables: arg1 arg2
   4: f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
   5: __init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (1+arg2p3 > 0), cost: 1

	Propagated Equalities

	Original rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=arg1p2, arg2'=arg2p2, (-2 < 0 /\ -3+arg1 < 0 /\ -2-arg1p2+arg1 == 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	New rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (0 == 0 /\ -2 < 0 /\ -3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	
		propagated equality arg1p2 = -2+arg1
		
	Simplified Guard

	Original rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (0 == 0 /\ -2 < 0 /\ -3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	New rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	
	Propagated Equalities

	Original rule:
	__init -> f33_0_even_NE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ -arg1p1-arg2p3 == 0), cost: 1
	New rule:
	__init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	
		propagated equality arg1p1 = -arg2p3
		
	Simplified Guard

	Original rule:
	__init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	New rule:
	__init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	
	Eliminated Temporary Variables via Transitive Closure

	Original rule:
	__init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	New rule:
	__init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (1+arg2p3 > 0), cost: 1

Step with 5

	Trace

	5[(1+arg2p3 > 0)]
	
	Blocked

	[{}, {}]

Step with 4

	Trace

	5[(1+arg2p3 > 0)], 4[(-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0)]
	
	Blocked

	[{}, {}, {}]

Nonterm

Start location: __init
Program variables: arg1 arg2
   4: f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
   6: f33_0_even_NE -> LoAT_sink : (3-arg1 > 0 /\ -1+n >= 0 /\ 1-arg1 > 0 /\ -arg1 > 0), cost: NONTERM
   7: f33_0_even_NE -> f33_0_even_NE : arg1'=-2*n+arg1, arg2'=arg2p2, (3-arg1 > 0 /\ -1+n >= 0 /\ 1-arg1 > 0 /\ -arg1 > 0), cost: 1
   5: __init -> f33_0_even_NE : arg1'=-arg2p3, arg2'=arg2p1, (1+arg2p3 > 0), cost: 1

	Certificate of Non-Termination

	Original rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	New rule:
	f33_0_even_NE -> LoAT_sink : (3-arg1 > 0 /\ -1+n >= 0 /\ 1-arg1 > 0 /\ -arg1 > 0), cost: NONTERM

		3-arg1 > 0 [0]: monotonic increase yields 3-arg1 > 0
		
		1-arg1 > 0 [0]: monotonic increase yields 1-arg1 > 0
		
		-arg1 > 0 [0]: monotonic increase yields -arg1 > 0, dependencies: 1-arg1 > 0
		
		Replacement map: {3-arg1 > 0 -> 3-arg1 > 0, 1-arg1 > 0 -> 1-arg1 > 0, -arg1 > 0 -> -arg1 > 0}

	Loop Acceleration

	Original rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2+arg1, arg2'=arg2p2, (-3+arg1 < 0 /\ -1+arg1 < 0 /\ arg1 < 0), cost: 1
	New rule:
	f33_0_even_NE -> f33_0_even_NE : arg1'=-2*n+arg1, arg2'=arg2p2, (3-arg1 > 0 /\ -1+n >= 0 /\ 1-arg1 > 0 /\ -arg1 > 0), cost: 1

		3-arg1 > 0 [0]: monotonic increase yields 3-arg1 > 0
		
		1-arg1 > 0 [0]: monotonic increase yields 1-arg1 > 0
		
		-arg1 > 0 [0]: monotonic increase yields -arg1 > 0, dependencies: 1-arg1 > 0
		
		Replacement map: {3-arg1 > 0 -> 3-arg1 > 0, 1-arg1 > 0 -> 1-arg1 > 0, -arg1 > 0 -> -arg1 > 0}

Step with 6

	Trace

	5[(1+arg2p3 > 0)], 6[(3-arg1 > 0 /\ -1+n >= 0 /\ 1-arg1 > 0 /\ -arg1 > 0)]
	
	Blocked

	[{}, {}, {6[T]}]

Refute

	Counterexample

	[ arg1=-1 arg2=0 ] 5 [ arg1=arg1 arg2=arg2 ] 6
	
NO

Build SHA: a05f16bf13df659c382799650051f91bf6828c7b