WORST_CASE(?, O(n^1))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 1:
	eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 0 ]
	eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
	eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
	eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
We thus obtain the following problem:
2:	T:
		(Comp: ?, Cost: 1)    eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: ?, Cost: 1)    eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: ?, Cost: 1)    eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: 1, Cost: 1)    eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_random2d_bb7_in) = 2
	Pol(eval_random2d_bb1_in) = 2
	Pol(eval_random2d_bb6_in) = 2
	Pol(eval_random2d_bb5_in) = 2
	Pol(eval_random2d_NewDefault_in) = 2
	Pol(eval_random2d_bb4_in) = 2
	Pol(eval_random2d_LeafBlock5_in) = 2
	Pol(eval_random2d_LeafBlock3_in) = 2
	Pol(eval_random2d_LeafBlock1_in) = 2
	Pol(eval_random2d_LeafBlock_in) = 2
	Pol(eval_random2d_NodeBlock7_in) = 2
	Pol(eval_random2d_NodeBlock_in) = 2
	Pol(eval_random2d_NodeBlock9_in) = 2
	Pol(eval_random2d_bb3_in) = 2
	Pol(eval_random2d_13) = 2
	Pol(eval_random2d_12) = 2
	Pol(eval_random2d_bb8_in) = 1
	Pol(eval_random2d_stop) = 0
	Pol(eval_random2d_bb2_in) = 2
	Pol(eval_random2d_10) = 2
	Pol(eval_random2d_9) = 2
	Pol(eval_random2d_8) = 2
	Pol(eval_random2d_7) = 2
	Pol(eval_random2d_6) = 2
	Pol(eval_random2d_5) = 2
	Pol(eval_random2d_4) = 2
	Pol(eval_random2d_3) = 2
	Pol(eval_random2d_2) = 2
	Pol(eval_random2d_1) = 2
	Pol(eval_random2d_0) = 2
	Pol(eval_random2d_bb0_in) = 2
	Pol(eval_random2d_start) = 2
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
strictly and produces the following problem:
4:	T:
		(Comp: ?, Cost: 1)    eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: ?, Cost: 1)    eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: 1, Cost: 1)    eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_random2d_bb7_in) = -10*V_1 + 10*V_3 - 8
	Pol(eval_random2d_bb1_in) = 10*V_3 - 10*V_4 - 9
	Pol(eval_random2d_bb6_in) = -10*V_1 + 10*V_3 - 8
	Pol(eval_random2d_bb5_in) = -10*V_1 + 10*V_3 - 8
	Pol(eval_random2d_NewDefault_in) = -10*V_1 + 10*V_3 - 8
	Pol(eval_random2d_bb4_in) = -10*V_1 + 10*V_3 - 8
	Pol(eval_random2d_LeafBlock5_in) = -10*V_1 + 10*V_3 - 7
	Pol(eval_random2d_LeafBlock3_in) = -10*V_1 + 10*V_3 - 7
	Pol(eval_random2d_LeafBlock1_in) = -10*V_1 + 10*V_3 - 7
	Pol(eval_random2d_LeafBlock_in) = -10*V_1 + 10*V_3 - 7
	Pol(eval_random2d_NodeBlock7_in) = -10*V_1 + 10*V_3 - 6
	Pol(eval_random2d_NodeBlock_in) = -10*V_1 + 10*V_3 - 6
	Pol(eval_random2d_NodeBlock9_in) = -10*V_1 + 10*V_3 - 5
	Pol(eval_random2d_bb3_in) = -10*V_1 + 10*V_3 - 4
	Pol(eval_random2d_13) = -10*V_1 + 10*V_3 - 3
	Pol(eval_random2d_12) = -10*V_1 + 10*V_3 - 2
	Pol(eval_random2d_bb8_in) = 10*V_3 - 10*V_4 - 9
	Pol(eval_random2d_stop) = 10*V_3 - 10*V_4 - 9
	Pol(eval_random2d_bb2_in) = 10*V_3 - 10*V_4 - 10
	Pol(eval_random2d_10) = 10*V_3
	Pol(eval_random2d_9) = 10*V_3
	Pol(eval_random2d_8) = 10*V_3
	Pol(eval_random2d_7) = 10*V_3
	Pol(eval_random2d_6) = 10*V_3
	Pol(eval_random2d_5) = 10*V_3
	Pol(eval_random2d_4) = 10*V_3
	Pol(eval_random2d_3) = 10*V_3
	Pol(eval_random2d_2) = 10*V_3
	Pol(eval_random2d_1) = 10*V_3
	Pol(eval_random2d_0) = 10*V_3
	Pol(eval_random2d_bb0_in) = 10*V_3
	Pol(eval_random2d_start) = 10*V_3
	Pol(koat_start) = 10*V_3
orients all transitions weakly and the transition
	eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
strictly and produces the following problem:
5:	T:
		(Comp: ?, Cost: 1)          eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)          eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)          eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)          eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)          eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)          eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: ?, Cost: 1)          eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: ?, Cost: 1)          eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)          eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)          eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: ?, Cost: 1)          eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)          eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)          eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)          eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: 1, Cost: 1)          eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: 1, Cost: 1)          eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)          koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 5 produces the following problem:
6:	T:
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: 40*Ar_2, Cost: 1)    eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 1 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 1 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NewDefault_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 = 0 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 1 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_LeafBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 1 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_NodeBlock9_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 > 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0)) [ Ar_1 < 0 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_13(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_1 <= 3 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_12(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_13(Ar_0, Fresh_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)          eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_12(Ar_3 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)          eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 10*Ar_2, Cost: 1)    eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_2 ]
		(Comp: 1, Cost: 1)          eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb1_in(Ar_0, Ar_1, Ar_2, 0))
		(Comp: 1, Cost: 1)          eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)          koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_random2d_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 290*Ar_2 + 17

Time: 3.501 sec (SMT: 3.359 sec)