YES(?, 44*a + 26)

Initial complexity problem:
1:	T:
		(1, 1)    evalwcet1start(a, b, c, d) -> evalwcet1entryin(a, b, c, d)
		(?, 1)    evalwcet1entryin(a, b, c, d) -> evalwcet1bbin(a, 0, a, d) [ a >= 1 ]
		(?, 1)    evalwcet1entryin(a, b, c, d) -> evalwcet1returnin(a, b, c, d) [ 0 >= a ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ 0 >= e + 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ e >= 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb4in(a, b, c, d)
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0) [ b + 1 >= a ]
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b + 1) [ a >= b + 2 ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb5in(a, b, c, d) [ 1 >= b ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b - 1) [ b >= 2 ]
		(?, 1)    evalwcet1bb5in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0)
		(?, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
		(?, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1returnin(a, b, c, d) [ 1 >= c ]
		(?, 1)    evalwcet1returnin(a, b, c, d) -> evalwcet1stop(a, b, c, d)
	start location:	evalwcet1start
	leaf cost:	0

Repeatedly removing leaves of the complexity graph in problem 1 produces the following problem:
2:	T:
		(1, 1)    evalwcet1start(a, b, c, d) -> evalwcet1entryin(a, b, c, d)
		(?, 1)    evalwcet1entryin(a, b, c, d) -> evalwcet1bbin(a, 0, a, d) [ a >= 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ 0 >= e + 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ e >= 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb4in(a, b, c, d)
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0) [ b + 1 >= a ]
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b + 1) [ a >= b + 2 ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb5in(a, b, c, d) [ 1 >= b ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b - 1) [ b >= 2 ]
		(?, 1)    evalwcet1bb5in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0)
		(?, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
	start location:	evalwcet1start
	leaf cost:	3

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(1, 1)    evalwcet1start(a, b, c, d) -> evalwcet1entryin(a, b, c, d)
		(1, 1)    evalwcet1entryin(a, b, c, d) -> evalwcet1bbin(a, 0, a, d) [ a >= 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ 0 >= e + 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ e >= 1 ]
		(?, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb4in(a, b, c, d)
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0) [ b + 1 >= a ]
		(?, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b + 1) [ a >= b + 2 ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb5in(a, b, c, d) [ 1 >= b ]
		(?, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b - 1) [ b >= 2 ]
		(?, 1)    evalwcet1bb5in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0)
		(?, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
	start location:	evalwcet1start
	leaf cost:	3

A polynomial rank function with
	Pol(evalwcet1start) = 4*V_1 - 1
	Pol(evalwcet1entryin) = 4*V_1 - 1
	Pol(evalwcet1bbin) = 4*V_3 - 1
	Pol(evalwcet1bb1in) = 4*V_3 - 3
	Pol(evalwcet1bb4in) = 4*V_3 - 2
	Pol(evalwcet1bb6in) = 4*V_3 - 4
	Pol(evalwcet1bb5in) = 4*V_3 - 3
orients all transitions weakly and the transition
	evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
strictly and produces the following problem:
4:	T:
		(1, 1)          evalwcet1start(a, b, c, d) -> evalwcet1entryin(a, b, c, d)
		(1, 1)          evalwcet1entryin(a, b, c, d) -> evalwcet1bbin(a, 0, a, d) [ a >= 1 ]
		(?, 1)          evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ 0 >= e + 1 ]
		(?, 1)          evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ e >= 1 ]
		(?, 1)          evalwcet1bbin(a, b, c, d) -> evalwcet1bb4in(a, b, c, d)
		(?, 1)          evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0) [ b + 1 >= a ]
		(?, 1)          evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b + 1) [ a >= b + 2 ]
		(?, 1)          evalwcet1bb4in(a, b, c, d) -> evalwcet1bb5in(a, b, c, d) [ 1 >= b ]
		(?, 1)          evalwcet1bb4in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b - 1) [ b >= 2 ]
		(?, 1)          evalwcet1bb5in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0)
		(4*a + 1, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
	start location:	evalwcet1start
	leaf cost:	3

Repeatedly propagating knowledge in problem 4 produces the following problem:
5:	T:
		(1, 1)          evalwcet1start(a, b, c, d) -> evalwcet1entryin(a, b, c, d)
		(1, 1)          evalwcet1entryin(a, b, c, d) -> evalwcet1bbin(a, 0, a, d) [ a >= 1 ]
		(4*a + 2, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ 0 >= e + 1 ]
		(4*a + 2, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb1in(a, b, c, d) [ e >= 1 ]
		(4*a + 2, 1)    evalwcet1bbin(a, b, c, d) -> evalwcet1bb4in(a, b, c, d)
		(8*a + 4, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0) [ b + 1 >= a ]
		(8*a + 4, 1)    evalwcet1bb1in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b + 1) [ a >= b + 2 ]
		(4*a + 2, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb5in(a, b, c, d) [ 1 >= b ]
		(4*a + 2, 1)    evalwcet1bb4in(a, b, c, d) -> evalwcet1bb6in(a, b, c, b - 1) [ b >= 2 ]
		(4*a + 2, 1)    evalwcet1bb5in(a, b, c, d) -> evalwcet1bb6in(a, b, c, 0)
		(4*a + 1, 1)    evalwcet1bb6in(a, b, c, d) -> evalwcet1bbin(a, d, c - 1, d) [ c >= 2 ]
	start location:	evalwcet1start
	leaf cost:	3

Complexity upper bound 44*a + 26

Time: 0.358 sec (SMT: 0.337 sec)