YES(?, 43)

Initial complexity problem:
1:	T:
		(?, 1)    start(a, b, c, d) -> lbl51(e, b, 0, d) [ a = b /\ c = d ]
		(?, 1)    lbl51(a, b, c, d) -> stop(a, b, c, d) [ c >= a /\ c >= 0 /\ 9 >= c ]
		(?, 1)    lbl51(a, b, c, d) -> stop(a, b, c, d) [ a >= c + 3 /\ c >= 0 /\ 9 >= c ]
		(?, 1)    lbl51(a, b, c, d) -> cut(a, b, c, d) [ a >= c + 1 /\ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ 9 >= c ]
		(?, 1)    lbl51(a, b, c, d) -> stop(a, b, c, d) [ a >= 10 /\ a >= c + 1 /\ c + 2 >= a /\ c >= 0 /\ 9 >= c ]
		(?, 1)    cut(a, b, c, d) -> lbl51(e, b, a, d) [ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ a >= c + 1 ]
		(1, 1)    start0(a, b, c, d) -> start(b, b, d, d)
	start location:	start0
	leaf cost:	0

Repeatedly removing leaves of the complexity graph in problem 1 produces the following problem:
2:	T:
		(?, 1)    start(a, b, c, d) -> lbl51(e, b, 0, d) [ a = b /\ c = d ]
		(?, 1)    lbl51(a, b, c, d) -> cut(a, b, c, d) [ a >= c + 1 /\ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ 9 >= c ]
		(?, 1)    cut(a, b, c, d) -> lbl51(e, b, a, d) [ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ a >= c + 1 ]
		(1, 1)    start0(a, b, c, d) -> start(b, b, d, d)
	start location:	start0
	leaf cost:	3

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(1, 1)    start(a, b, c, d) -> lbl51(e, b, 0, d) [ a = b /\ c = d ]
		(?, 1)    lbl51(a, b, c, d) -> cut(a, b, c, d) [ a >= c + 1 /\ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ 9 >= c ]
		(?, 1)    cut(a, b, c, d) -> lbl51(e, b, a, d) [ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ a >= c + 1 ]
		(1, 1)    start0(a, b, c, d) -> start(b, b, d, d)
	start location:	start0
	leaf cost:	3

A polynomial rank function with
	Pol(start) = 19
	Pol(lbl51) = -2*V_3 + 19
	Pol(cut) = -2*V_3 + 18
	Pol(start0) = 19
orients all transitions weakly and the transitions
	lbl51(a, b, c, d) -> cut(a, b, c, d) [ a >= c + 1 /\ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ 9 >= c ]
	cut(a, b, c, d) -> lbl51(e, b, a, d) [ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ a >= c + 1 ]
strictly and produces the following problem:
4:	T:
		(1, 1)     start(a, b, c, d) -> lbl51(e, b, 0, d) [ a = b /\ c = d ]
		(19, 1)    lbl51(a, b, c, d) -> cut(a, b, c, d) [ a >= c + 1 /\ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ 9 >= c ]
		(19, 1)    cut(a, b, c, d) -> lbl51(e, b, a, d) [ c + 2 >= a /\ 9 >= a /\ c >= 0 /\ a >= c + 1 ]
		(1, 1)     start0(a, b, c, d) -> start(b, b, d, d)
	start location:	start0
	leaf cost:	3

Complexity upper bound 43

Time: 0.198 sec (SMT: 0.189 sec)