unknown

Initial ITS

Start location: l4
Program variables: rt_11^0 st_14^0 x_15^0 y_13^0
   0: l0 -> l1 : rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, x_15^0'=x_15^post1, y_13^0'=y_13^post1, (y_13^0 <= 0 /\ -x_15^post1+x_15^0 == 0 /\ st_14^0-st_14^post1 == 0 /\ -st_14^0+rt_11^post1 == 0 /\ -y_13^post1+y_13^0 == 0), cost: 1
   1: l0 -> l2 : rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, x_15^0'=x_15^post2, y_13^0'=y_13^post2, (1-y_13^0 <= 0 /\ -x_15^post2+x_15^0 == 0 /\ y_13^0-y_13^post2 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ -st_14^post2+st_14^0 == 0), cost: 1
   2: l2 -> l1 : rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, x_15^0'=x_15^post3, y_13^0'=y_13^post3, (y_13^0-y_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ rt_11^post3-st_14^0 == 0 /\ x_15^0 <= 0 /\ st_14^0-st_14^post3 == 0), cost: 1
   3: l2 -> l3 : rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, x_15^0'=x_15^post4, y_13^0'=y_13^post4, (-1+y_13^post4-y_13^0 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
   4: l3 -> l2 : rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, x_15^0'=x_15^post5, y_13^0'=y_13^post5, (-x_15^post5+x_15^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ -y_13^post5+y_13^0 == 0 /\ st_14^0-st_14^post5 == 0), cost: 1
   5: l4 -> l0 : rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, x_15^0'=x_15^post6, y_13^0'=y_13^post6, (-rt_11^post6+rt_11^0 == 0 /\ -y_13^post6+y_13^0 == 0 /\ st_14^0-st_14^post6 == 0 /\ -x_15^post6+x_15^0 == 0), cost: 1

Chained Linear Paths

Start location: l4
Program variables: rt_11^0 st_14^0 x_15^0 y_13^0
   0: l0 -> l1 : rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, x_15^0'=x_15^post1, y_13^0'=y_13^post1, (y_13^0 <= 0 /\ -x_15^post1+x_15^0 == 0 /\ st_14^0-st_14^post1 == 0 /\ -st_14^0+rt_11^post1 == 0 /\ -y_13^post1+y_13^0 == 0), cost: 1
   1: l0 -> l2 : rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, x_15^0'=x_15^post2, y_13^0'=y_13^post2, (1-y_13^0 <= 0 /\ -x_15^post2+x_15^0 == 0 /\ y_13^0-y_13^post2 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ -st_14^post2+st_14^0 == 0), cost: 1
   2: l2 -> l1 : rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, x_15^0'=x_15^post3, y_13^0'=y_13^post3, (y_13^0-y_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ rt_11^post3-st_14^0 == 0 /\ x_15^0 <= 0 /\ st_14^0-st_14^post3 == 0), cost: 1
   6: l2 -> l2 : rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, x_15^0'=x_15^post5, y_13^0'=y_13^post5, (-1+y_13^post4-y_13^0 == 0 /\ -x_15^post5+x_15^post4 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^post4-y_13^post5 == 0 /\ rt_11^post4-rt_11^post5 == 0 /\ st_14^post4-st_14^post5 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
   5: l4 -> l0 : rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, x_15^0'=x_15^post6, y_13^0'=y_13^post6, (-rt_11^post6+rt_11^0 == 0 /\ -y_13^post6+y_13^0 == 0 /\ st_14^0-st_14^post6 == 0 /\ -x_15^post6+x_15^0 == 0), cost: 1

	Eliminating location l3 by chaining:

	Applied chaining

	First rule:
	l2 -> l3 : rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, x_15^0'=x_15^post4, y_13^0'=y_13^post4, (-1+y_13^post4-y_13^0 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	Second rule:
	l3 -> l2 : rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, x_15^0'=x_15^post5, y_13^0'=y_13^post5, (-x_15^post5+x_15^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ -y_13^post5+y_13^0 == 0 /\ st_14^0-st_14^post5 == 0), cost: 1
	New rule:
	l2 -> l2 : rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, x_15^0'=x_15^post5, y_13^0'=y_13^post5, (-1+y_13^post4-y_13^0 == 0 /\ -x_15^post5+x_15^post4 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^post4-y_13^post5 == 0 /\ rt_11^post4-rt_11^post5 == 0 /\ st_14^post4-st_14^post5 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	
	Applied deletion

	Removed the following rules: 3 4

Simplified Transitions

Start location: l4
Program variables: rt_11^0 st_14^0 x_15^0 y_13^0
   7: l0 -> l1 : rt_11^0'=st_14^0, y_13^0 <= 0, cost: 1
   8: l0 -> l2 : 1-y_13^0 <= 0, cost: 1
   9: l2 -> l1 : rt_11^0'=st_14^0, x_15^0 <= 0, cost: 1
  11: l2 -> l2 : x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, 1-x_15^0 <= 0, cost: 1
  10: l4 -> l0 : T, cost: 1

	Propagated Equalities

	Original rule:
	l0 -> l1 : rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, x_15^0'=x_15^post1, y_13^0'=y_13^post1, (y_13^0 <= 0 /\ -x_15^post1+x_15^0 == 0 /\ st_14^0-st_14^post1 == 0 /\ -st_14^0+rt_11^post1 == 0 /\ -y_13^post1+y_13^0 == 0), cost: 1
	New rule:
	l0 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ y_13^0 <= 0), cost: 1
	
		propagated equality x_15^post1 = x_15^0
		
		propagated equality st_14^post1 = st_14^0
		
		propagated equality rt_11^post1 = st_14^0
		
		propagated equality y_13^post1 = y_13^0
		
	Simplified Guard

	Original rule:
	l0 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ y_13^0 <= 0), cost: 1
	New rule:
	l0 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, y_13^0 <= 0, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l0 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, y_13^0 <= 0, cost: 1
	New rule:
	l0 -> l1 : rt_11^0'=st_14^0, y_13^0 <= 0, cost: 1
	
	Propagated Equalities

	Original rule:
	l0 -> l2 : rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, x_15^0'=x_15^post2, y_13^0'=y_13^post2, (1-y_13^0 <= 0 /\ -x_15^post2+x_15^0 == 0 /\ y_13^0-y_13^post2 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ -st_14^post2+st_14^0 == 0), cost: 1
	New rule:
	l0 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ 1-y_13^0 <= 0), cost: 1
	
		propagated equality x_15^post2 = x_15^0
		
		propagated equality y_13^post2 = y_13^0
		
		propagated equality rt_11^post2 = rt_11^0
		
		propagated equality st_14^post2 = st_14^0
		
	Simplified Guard

	Original rule:
	l0 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ 1-y_13^0 <= 0), cost: 1
	New rule:
	l0 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, 1-y_13^0 <= 0, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l0 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, 1-y_13^0 <= 0, cost: 1
	New rule:
	l0 -> l2 : 1-y_13^0 <= 0, cost: 1
	
	Propagated Equalities

	Original rule:
	l2 -> l1 : rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, x_15^0'=x_15^post3, y_13^0'=y_13^post3, (y_13^0-y_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ rt_11^post3-st_14^0 == 0 /\ x_15^0 <= 0 /\ st_14^0-st_14^post3 == 0), cost: 1
	New rule:
	l2 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ x_15^0 <= 0), cost: 1
	
		propagated equality y_13^post3 = y_13^0
		
		propagated equality x_15^post3 = x_15^0
		
		propagated equality rt_11^post3 = st_14^0
		
		propagated equality st_14^post3 = st_14^0
		
	Simplified Guard

	Original rule:
	l2 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, (0 == 0 /\ x_15^0 <= 0), cost: 1
	New rule:
	l2 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, x_15^0 <= 0, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l2 -> l1 : rt_11^0'=st_14^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, x_15^0 <= 0, cost: 1
	New rule:
	l2 -> l1 : rt_11^0'=st_14^0, x_15^0 <= 0, cost: 1
	
	Propagated Equalities

	Original rule:
	l4 -> l0 : rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, x_15^0'=x_15^post6, y_13^0'=y_13^post6, (-rt_11^post6+rt_11^0 == 0 /\ -y_13^post6+y_13^0 == 0 /\ st_14^0-st_14^post6 == 0 /\ -x_15^post6+x_15^0 == 0), cost: 1
	New rule:
	l4 -> l0 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, 0 == 0, cost: 1
	
		propagated equality rt_11^post6 = rt_11^0
		
		propagated equality y_13^post6 = y_13^0
		
		propagated equality st_14^post6 = st_14^0
		
		propagated equality x_15^post6 = x_15^0
		
	Simplified Guard

	Original rule:
	l4 -> l0 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, 0 == 0, cost: 1
	New rule:
	l4 -> l0 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, T, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l4 -> l0 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=x_15^0, y_13^0'=y_13^0, T, cost: 1
	New rule:
	l4 -> l0 : T, cost: 1
	
	Propagated Equalities

	Original rule:
	l2 -> l2 : rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, x_15^0'=x_15^post5, y_13^0'=y_13^post5, (-1+y_13^post4-y_13^0 == 0 /\ -x_15^post5+x_15^post4 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^post4-y_13^post5 == 0 /\ rt_11^post4-rt_11^post5 == 0 /\ st_14^post4-st_14^post5 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	New rule:
	l2 -> l2 : rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, x_15^0'=x_15^post4, y_13^0'=y_13^post4, (0 == 0 /\ -1+y_13^post4-y_13^0 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	
		propagated equality x_15^post5 = x_15^post4
		
		propagated equality y_13^post5 = y_13^post4
		
		propagated equality rt_11^post5 = rt_11^post4
		
		propagated equality st_14^post5 = st_14^post4
		
	Propagated Equalities

	Original rule:
	l2 -> l2 : rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, x_15^0'=x_15^post4, y_13^0'=y_13^post4, (0 == 0 /\ -1+y_13^post4-y_13^0 == 0 /\ st_14^0-st_14^post4 == 0 /\ y_13^0+x_15^post4-x_15^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	New rule:
	l2 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, (0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	
		propagated equality y_13^post4 = 1+y_13^0
		
		propagated equality st_14^post4 = st_14^0
		
		propagated equality x_15^post4 = -y_13^0+x_15^0
		
		propagated equality rt_11^post4 = rt_11^0
		
	Simplified Guard

	Original rule:
	l2 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, (0 == 0 /\ 1-x_15^0 <= 0), cost: 1
	New rule:
	l2 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, 1-x_15^0 <= 0, cost: 1
	
	Removed Trivial Updates

	Original rule:
	l2 -> l2 : rt_11^0'=rt_11^0, st_14^0'=st_14^0, x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, 1-x_15^0 <= 0, cost: 1
	New rule:
	l2 -> l2 : x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, 1-x_15^0 <= 0, cost: 1

Step with 10

	Trace

	10[T]
	
	Blocked

	[{}, {}]

Step with 7

	Trace

	10[T], 7[(y_13^0 <= 0)]
	
	Blocked

	[{}, {}, {}]

Backtrack

	Trace

	10[T]
	
	Blocked

	[{}, {7[T]}]

Step with 8

	Trace

	10[T], 8[(1-y_13^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {}]

Step with 9

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 9[(x_15^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {}, {}]

Backtrack

	Trace

	10[T], 8[(1-y_13^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T]}]

Step with 11

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 11[(1-x_15^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T]}, {}]

Accelerate

Start location: l4
Program variables: rt_11^0 st_14^0 x_15^0 y_13^0
   7: l0 -> l1 : rt_11^0'=st_14^0, y_13^0 <= 0, cost: 1
   8: l0 -> l2 : 1-y_13^0 <= 0, cost: 1
   9: l2 -> l1 : rt_11^0'=st_14^0, x_15^0 <= 0, cost: 1
  11: l2 -> l2 : x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, 1-x_15^0 <= 0, cost: 1
  12: l2 -> l2 : x_15^0'=1/2*n-1/2*n^2+x_15^0-n*y_13^0, y_13^0'=n+y_13^0, (-1+n >= 0 /\ -3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0), cost: 1
  10: l4 -> l0 : T, cost: 1

	Loop Acceleration

	Original rule:
	l2 -> l2 : x_15^0'=-y_13^0+x_15^0, y_13^0'=1+y_13^0, (1-x_15^0 <= 0), cost: 1
	New rule:
	l2 -> l2 : x_15^0'=1/2*n-1/2*n^2+x_15^0-n*y_13^0, y_13^0'=n+y_13^0, (-1+n >= 0 /\ -3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0), cost: 1

		-1+x_15^0 >= 0 [0]: eventual decrease yields (-3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0)
		
		Replacement map: {-1+x_15^0 >= 0 -> (-3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0)}

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 12[(-1+n >= 0 /\ -3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T]}, {11[T], 12[T]}]

Step with 9

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 12[(-1+n >= 0 /\ -3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0)], 9[(x_15^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T]}, {11[T], 12[T]}, {}]

Backtrack

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 12[(-1+n >= 0 /\ -3/2+1/2*n-1/2*(-1+n)^2+x_15^0-(-1+n)*y_13^0 >= 0 /\ -1+x_15^0 >= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T]}, {9[T], 11[T], 12[T]}]

Backtrack

	Trace

	10[T], 8[(1-y_13^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T], 12[T]}]

Step with 11

	Trace

	10[T], 8[(1-y_13^0 <= 0)], 11[(1-x_15^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T], 12[T]}, {}]

Covered

	Trace

	10[T], 8[(1-y_13^0 <= 0)]
	
	Blocked

	[{}, {7[T]}, {9[T], 11[T], 12[T]}]

Backtrack

	Trace

	10[T]
	
	Blocked

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

Backtrack

	Trace

	Blocked

	[{10[T]}]

Accept

unknown

Build SHA: a05f16bf13df659c382799650051f91bf6828c7b