2.40/1.33	WORST_CASE(?, O(n^2))
2.40/1.34	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.40/1.34	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.40/1.34	
2.40/1.34	
2.40/1.34	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.40/1.34	
2.40/1.34	(0) CpxIntTrs
2.40/1.34	(1) Koat Proof [FINISHED, 75 ms]
2.40/1.34	(2) BOUNDS(1, n^2)
2.40/1.34	
2.40/1.34	
2.40/1.34	----------------------------------------
2.40/1.34	
2.40/1.34	(0)
2.40/1.34	Obligation:
2.40/1.34	Complexity Int TRS consisting of the following rules:
2.40/1.34	eval_jama_ex7_start(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb0_in(v_i.0, v_j.0, v_m, v_n)) :|: TRUE
2.40/1.34	eval_jama_ex7_bb0_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb1_in(v_n, v_j.0, v_m, v_n)) :|: TRUE
2.40/1.34	eval_jama_ex7_bb1_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb2_in(v_i.0, v_m, v_m, v_n)) :|: v_i.0 >= 1
2.40/1.34	eval_jama_ex7_bb1_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb5_in(v_i.0, v_j.0, v_m, v_n)) :|: v_i.0 < 1
2.40/1.34	eval_jama_ex7_bb2_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb3_in(v_i.0, v_j.0, v_m, v_n)) :|: v_j.0 >= 1
2.40/1.34	eval_jama_ex7_bb2_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb4_in(v_i.0, v_j.0, v_m, v_n)) :|: v_j.0 < 1
2.40/1.34	eval_jama_ex7_bb3_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb2_in(v_i.0, v_j.0 - 1, v_m, v_n)) :|: TRUE
2.40/1.34	eval_jama_ex7_bb4_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_bb1_in(v_i.0 - 1, v_j.0, v_m, v_n)) :|: TRUE
2.40/1.34	eval_jama_ex7_bb5_in(v_i.0, v_j.0, v_m, v_n) -> Com_1(eval_jama_ex7_stop(v_i.0, v_j.0, v_m, v_n)) :|: TRUE
2.40/1.34	
2.40/1.34	The start-symbols are:[eval_jama_ex7_start_4]
2.40/1.34	
2.40/1.34	
2.40/1.34	----------------------------------------
2.40/1.34	
2.40/1.34	(1) Koat Proof (FINISHED)
2.40/1.34	YES(?, 5*ar_1 + 2*ar_1*ar_3 + 2*ar_3 + 11)
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	Initial complexity problem:
2.40/1.34	
2.40/1.34	1:	T:
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.40/1.34	
2.40/1.34	2:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)    evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)    evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	A polynomial rank function with
2.40/1.34	
2.40/1.34		Pol(evaljamaex7start) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb0in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb1in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb2in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb5in) = 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb3in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb4in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7stop) = 0
2.40/1.34	
2.40/1.34		Pol(koat_start) = 2
2.40/1.34	
2.40/1.34	orients all transitions weakly and the transitions
2.40/1.34	
2.40/1.34		evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34		evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34	strictly and produces the following problem:
2.40/1.34	
2.40/1.34	3:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)    evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)    evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)    evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)    evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	A polynomial rank function with
2.40/1.34	
2.40/1.34		Pol(evaljamaex7start) = V_2 + 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb0in) = V_2 + 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb1in) = V_1 + 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb2in) = V_1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb5in) = V_1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb3in) = V_1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb4in) = V_1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7stop) = V_1
2.40/1.34	
2.40/1.34		Pol(koat_start) = V_2 + 1
2.40/1.34	
2.40/1.34	orients all transitions weakly and the transition
2.40/1.34	
2.40/1.34		evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34	strictly and produces the following problem:
2.40/1.34	
2.40/1.34	4:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)           evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)           evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ar_1 + 1, Cost: 1)    evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)           evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)           evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)           evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)           evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)           evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)           evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	A polynomial rank function with
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb4in) = 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb1in) = 0
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb3in) = 2
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb2in) = 2
2.40/1.34	
2.40/1.34	and size complexities
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-0) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-2) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-0) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34	orients the transitions
2.40/1.34	
2.40/1.34		evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34		evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34		evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34		evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34	weakly and the transitions
2.40/1.34	
2.40/1.34		evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34		evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34	strictly and produces the following problem:
2.40/1.34	
2.40/1.34	5:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)             evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)             evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ar_1 + 1, Cost: 1)      evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)             evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)             evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)             evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)    evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)             evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	A polynomial rank function with
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb3in) = V_3 - 1
2.40/1.34	
2.40/1.34		Pol(evaljamaex7bb2in) = V_3
2.40/1.34	
2.40/1.34	and size complexities
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = 3*ar_1 + 162
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-0) = 3*ar_1 + 18
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-0) = 3*ar_1 + 18
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-0) = 3*ar_1 + 18
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = 3*ar_1 + 18
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-0) = 3*ar_1 + 54
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-2) = ?
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-0) = 3*ar_1 + 18
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-2) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-0) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.40/1.34	
2.40/1.34		S("evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.40/1.34	
2.40/1.34	orients the transitions
2.40/1.34	
2.40/1.34		evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34		evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34	weakly and the transition
2.40/1.34	
2.40/1.34		evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34	strictly and produces the following problem:
2.40/1.34	
2.40/1.34	6:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)                   evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)                   evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ar_1 + 1, Cost: 1)            evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)                   evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ar_1*ar_3 + ar_3, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)          evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ?, Cost: 1)                   evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)          evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)                   evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)                   koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	Repeatedly propagating knowledge in problem 6 produces the following problem:
2.40/1.34	
2.40/1.34	7:	T:
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)                   evaljamaex7start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 1)                   evaljamaex7bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: ar_1 + 1, Cost: 1)            evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_3, ar_3)) [ ar_0 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)                   evaljamaex7bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.40/1.34	
2.40/1.34			(Comp: ar_1*ar_3 + ar_3, Cost: 1)    evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)          evaljamaex7bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.40/1.34	
2.40/1.34			(Comp: ar_1*ar_3 + ar_3, Cost: 1)    evaljamaex7bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb2in(ar_0, ar_1, ar_2 - 1, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2*ar_1 + 2, Cost: 1)          evaljamaex7bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7bb1in(ar_0 - 1, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 2, Cost: 1)                   evaljamaex7bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7stop(ar_0, ar_1, ar_2, ar_3))
2.40/1.34	
2.40/1.34			(Comp: 1, Cost: 0)                   koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evaljamaex7start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.40/1.34	
2.40/1.34		start location:	koat_start
2.40/1.34	
2.40/1.34		leaf cost:	0
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	Complexity upper bound 5*ar_1 + 2*ar_1*ar_3 + 2*ar_3 + 11
2.40/1.34	
2.40/1.34	
2.40/1.34	
2.40/1.34	Time: 0.103 sec (SMT: 0.087 sec)
2.40/1.34	
2.40/1.34	
2.40/1.34	----------------------------------------
2.40/1.34	
2.40/1.34	(2)
2.40/1.34	BOUNDS(1, n^2)
2.43/1.87	EOF