NO

Initial ITS

Start location: __init
Program variables: arg1 arg2
   0: f1_0_main_Load -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg2^2-arg2p1 == 0 /\ arg1 > 0), cost: 1
   1: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1^2+2*arg1 == 0 /\ -9+arg2 > 0 /\ 1+arg1-arg1p2 == 0 /\ 1+arg1 > 0), cost: 1
   2: __init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1

Chained Linear Paths

Start location: __init
Program variables: arg1 arg2
   1: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1^2+2*arg1 == 0 /\ -9+arg2 > 0 /\ 1+arg1-arg1p2 == 0 /\ 1+arg1 > 0), cost: 1
   3: __init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg2p3^2-arg2p1 == 0 /\ arg1p3 > 0 /\ -arg1p1+arg2p3 == 0), cost: 1

	Eliminating location f1_0_main_Load by chaining:

	Applied chaining

	First rule:
	__init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1
	Second rule:
	f1_0_main_Load -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg2^2-arg2p1 == 0 /\ arg1 > 0), cost: 1
	New rule:
	__init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg2p3^2-arg2p1 == 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: f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (-9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
   5: __init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (1+arg2p3 > 0), cost: 1

	Propagated Equalities

	Original rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1^2+2*arg1 == 0 /\ -9+arg2 > 0 /\ 1+arg1-arg1p2 == 0 /\ 1+arg1 > 0), cost: 1
	New rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (0 == 0 /\ -9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
	
		propagated equality arg2p2 = 1+arg1^2+2*arg1
		
		propagated equality arg1p2 = 1+arg1
		
	Simplified Guard

	Original rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (0 == 0 /\ -9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
	New rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (-9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
	
	Propagated Equalities

	Original rule:
	__init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ arg2p3^2-arg2p1 == 0 /\ arg1p3 > 0 /\ -arg1p1+arg2p3 == 0), cost: 1
	New rule:
	__init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	
		propagated equality arg2p1 = arg2p3^2
		
		propagated equality arg1p1 = arg2p3
		
	Simplified Guard

	Original rule:
	__init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	New rule:
	__init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	
	Eliminated Temporary Variables via Transitive Closure

	Original rule:
	__init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1
	New rule:
	__init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (1+arg2p3 > 0), cost: 1

Step with 5

	Trace

	5[(1+arg2p3 > 0)]
	
	Blocked

	[{}, {}]

Step with 4

	Trace

	5[(1+arg2p3 > 0)], 4[(-9+arg2 > 0 /\ 1+arg1 > 0)]
	
	Blocked

	[{}, {}, {}]

Nonterm

Start location: __init
Program variables: arg1 arg2
   4: f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (-9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
   6: f51_0_loop_LE -> LoAT_sink : (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0 /\ -1+n >= 0 /\ 1+arg1 > 0), cost: NONTERM
   7: f51_0_loop_LE -> f51_0_loop_LE : arg1'=n+arg1, arg2'=-1+(-1+n+arg1)^2+2*n+2*arg1, (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0 /\ -1+n >= 0 /\ 1+arg1 > 0), cost: 1
   5: __init -> f51_0_loop_LE : arg1'=arg2p3, arg2'=arg2p3^2, (1+arg2p3 > 0), cost: 1

	Certificate of Non-Termination

	Original rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (-9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
	New rule:
	f51_0_loop_LE -> LoAT_sink : (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0 /\ -1+n >= 0 /\ 1+arg1 > 0), cost: NONTERM

		-9+arg2 > 0 [0]: eventual increase yields (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0), dependencies: 1+arg1 > 0
		
		1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0
		
		Replacement map: {-9+arg2 > 0 -> (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0), 1+arg1 > 0 -> 1+arg1 > 0}

	Loop Acceleration

	Original rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=1+arg1, arg2'=1+arg1^2+2*arg1, (-9+arg2 > 0 /\ 1+arg1 > 0), cost: 1
	New rule:
	f51_0_loop_LE -> f51_0_loop_LE : arg1'=n+arg1, arg2'=-1+(-1+n+arg1)^2+2*n+2*arg1, (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0 /\ -1+n >= 0 /\ 1+arg1 > 0), cost: 1

		-9+arg2 > 0 [0]: eventual increase yields (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0), dependencies: 1+arg1 > 0
		
		1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0
		
		Replacement map: {-9+arg2 > 0 -> (-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0), 1+arg1 > 0 -> 1+arg1 > 0}

Step with 6

	Trace

	5[(1+arg2p3 > 0)], 6[(-9+arg2 > 0 /\ -1-arg1^2-2*arg1+arg2 <= 0 /\ -1+n >= 0 /\ 1+arg1 > 0)]
	
	Blocked

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

Refute

	Counterexample

	[ arg1=4 arg2=16 ] 5 [ arg1=arg1 arg2=arg2 ] 6
	
NO

Build SHA: a05f16bf13df659c382799650051f91bf6828c7b