2.15/1.76	WORST_CASE(?, O(n^1))
2.15/1.77	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.15/1.77	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.15/1.77	
2.15/1.77	
2.15/1.77	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.15/1.77	
2.15/1.77	(0) CpxIntTrs
2.15/1.77	(1) Koat Proof [FINISHED, 583 ms]
2.15/1.77	(2) BOUNDS(1, n^1)
2.15/1.77	
2.15/1.77	
2.15/1.77	----------------------------------------
2.15/1.77	
2.15/1.77	(0)
2.15/1.77	Obligation:
2.15/1.77	Complexity Int TRS consisting of the following rules:
2.15/1.77	eval_rsd_start(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb0_in(v_4, v_da.0, v_db.0, v_r)) :|: TRUE
2.15/1.77	eval_rsd_bb0_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb1_in(v_4, v_da.0, v_db.0, v_r)) :|: v_r >= 0
2.15/1.77	eval_rsd_bb0_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb4_in(v_4, v_da.0, v_db.0, v_r)) :|: v_r < 0
2.15/1.77	eval_rsd_bb1_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb2_in(v_4, 2 * v_r, 2 * v_r, v_r)) :|: TRUE
2.15/1.77	eval_rsd_bb2_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb3_in(v_4, v_da.0, v_db.0, v_r)) :|: v_da.0 >= v_r
2.15/1.77	eval_rsd_bb2_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb4_in(v_4, v_da.0, v_db.0, v_r)) :|: v_da.0 < v_r
2.15/1.77	eval_rsd_bb3_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_3(v_4, v_da.0, v_db.0, v_r)) :|: TRUE
2.15/1.77	eval_rsd_3(v_4, v_da.0, v_db.0, v_r) -> Com_2(eval_nondet_start(v_4, v_da.0, v_db.0, v_r), eval_rsd_4(nondef.0, v_da.0, v_db.0, v_r)) :|: TRUE
2.15/1.77	eval_rsd_4(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb2_in(v_4, v_da.0 - 1, v_db.0, v_r)) :|: v_4 > 0
2.15/1.77	eval_rsd_4(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb2_in(v_4, v_db.0 - 1, v_db.0, v_r)) :|: v_4 > 0 && v_4 <= 0
2.15/1.77	eval_rsd_4(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb2_in(v_4, v_da.0 - 1, v_da.0, v_r)) :|: v_4 <= 0 && v_4 > 0
2.15/1.77	eval_rsd_4(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_bb2_in(v_4, v_db.0 - 1, v_da.0, v_r)) :|: v_4 <= 0
2.15/1.77	eval_rsd_bb4_in(v_4, v_da.0, v_db.0, v_r) -> Com_1(eval_rsd_stop(v_4, v_da.0, v_db.0, v_r)) :|: TRUE
2.15/1.77	
2.15/1.77	The start-symbols are:[eval_rsd_start_4]
2.15/1.77	
2.15/1.77	
2.15/1.77	----------------------------------------
2.15/1.77	
2.15/1.77	(1) Koat Proof (FINISHED)
2.15/1.77	YES(?, 168*ar_0 + 50)
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	Initial complexity problem:
2.15/1.77	
2.15/1.77	1:	T:
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 /\ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.77	
2.15/1.77		start location:	koat_start
2.15/1.77	
2.15/1.77		leaf cost:	0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	Testing for reachability in the complexity graph removes the following transitions from problem 1:
2.15/1.77	
2.15/1.77		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 /\ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77	We thus obtain the following problem:
2.15/1.77	
2.15/1.77	2:	T:
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.77	
2.15/1.77		start location:	koat_start
2.15/1.77	
2.15/1.77		leaf cost:	0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	Repeatedly propagating knowledge in problem 2 produces the following problem:
2.15/1.77	
2.15/1.77	3:	T:
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.77	
2.15/1.77		start location:	koat_start
2.15/1.77	
2.15/1.77		leaf cost:	0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	A polynomial rank function with
2.15/1.77	
2.15/1.77		Pol(evalrsd4) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsdbb2in) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsd31) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsd30) = 0
2.15/1.77	
2.15/1.77		Pol(evalnondetstart) = 0
2.15/1.77	
2.15/1.77		Pol(evalrsd3) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsdbb3in) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsdbb4in) = 1
2.15/1.77	
2.15/1.77		Pol(evalrsdstop) = 0
2.15/1.77	
2.15/1.77		Pol(evalrsdbb1in) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsdbb0in) = 2
2.15/1.77	
2.15/1.77		Pol(evalrsdstart) = 2
2.15/1.77	
2.15/1.77		Pol(koat_start) = 2
2.15/1.77	
2.15/1.77	orients all transitions weakly and the transitions
2.15/1.77	
2.15/1.77		evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77		evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77	strictly and produces the following problem:
2.15/1.77	
2.15/1.77	4:	T:
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 2, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
2.15/1.77	
2.15/1.77			(Comp: 2, Cost: 1)    evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.77	
2.15/1.77		start location:	koat_start
2.15/1.77	
2.15/1.77		leaf cost:	0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	Applied AI with 'oct' on problem 4 to obtain the following invariants:
2.15/1.77	
2.15/1.77	  For symbol evalrsd3: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsd30: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsd31: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsd4: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsdbb1in: X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsdbb2in: X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	  For symbol evalrsdbb3in: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	This yielded the following problem:
2.15/1.77	
2.15/1.77	5:	T:
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: 1, Cost: 1)    evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: 2, Cost: 1)    evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 ]
2.15/1.77	
2.15/1.77			(Comp: 2, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.15/1.77	
2.15/1.77			(Comp: ?, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.15/1.77	
2.15/1.77		start location:	koat_start
2.15/1.77	
2.15/1.77		leaf cost:	0
2.15/1.77	
2.15/1.77	
2.15/1.77	
2.15/1.77	A polynomial rank function with
2.15/1.77	
2.15/1.77		Pol(evalrsdbb3in) = 6*V_2 + 6*V_3 + 5
2.15/1.77	
2.15/1.77		Pol(evalrsd3) = 6*V_2 + 6*V_3 + 4
2.15/1.77	
2.15/1.77		Pol(evalrsdbb2in) = 6*V_2 + 6*V_3 + 6
2.15/1.77	
2.15/1.77		Pol(evalrsd4) = 6*V_2 + 6*V_3 + 1
2.15/1.77	
2.15/1.77		Pol(evalrsd31) = 6*V_2 + 6*V_3 + 2
2.15/1.77	
2.15/1.77		Pol(evalrsd30) = 1
2.15/1.77	
2.15/1.77		Pol(evalnondetstart) = 0
2.15/1.77	
2.15/1.77	and size complexities
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0 + 16
2.15/1.77	
2.15/1.77		S("evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0 + 16
2.15/1.77	
2.15/1.77		S("evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-1) = 2*ar_0 + 16
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-2) = 2*ar_0 + 16
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 ]", 0-1) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 ]", 0-2) = 2*ar_0 + 8
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 ]", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 ]", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = 2*ar_0 + 2*ar_1 + 32
2.15/1.77	
2.15/1.77		S("evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = 2*ar_0 + 2*ar_2 + 32
2.15/1.77	
2.15/1.77		S("evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
2.15/1.77	
2.15/1.77		S("evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-1) = 2*ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-2) = 2*ar_0
2.15/1.77	
2.15/1.77		S("evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-3) = ar_3
2.15/1.77	
2.15/1.77		S("evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-4) = ar_4
2.15/1.77	
2.15/1.77		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-4) = ar_4
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-0) = ar_0
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-1) = ar_1
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-2) = ar_2
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-3) = ar_3
2.15/1.78	
2.15/1.78		S("evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-4) = ar_4
2.15/1.78	
2.15/1.78		S("evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.15/1.78	
2.15/1.78		S("evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.15/1.78	
2.15/1.78		S("evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
2.15/1.78	
2.15/1.78		S("evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
2.15/1.78	
2.15/1.78		S("evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
2.15/1.78	
2.15/1.78		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
2.15/1.78	
2.15/1.78		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
2.15/1.78	
2.15/1.78		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
2.15/1.78	
2.15/1.78		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
2.15/1.78	
2.15/1.78		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
2.15/1.78	
2.15/1.78	orients the transitions
2.15/1.78	
2.15/1.78		evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 ]
2.15/1.78	
2.15/1.78		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.15/1.78	
2.15/1.78		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.15/1.78	
2.15/1.78		evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78	weakly and the transitions
2.15/1.78	
2.15/1.78		evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 ]
2.15/1.78	
2.15/1.78		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.15/1.78	
2.15/1.78		evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.15/1.78	
2.15/1.78		evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78		evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78	strictly and produces the following problem:
2.15/1.78	
2.15/1.78	6:	T:
2.15/1.78	
2.15/1.78			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 1, Cost: 1)              evalrsdstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.78	
2.15/1.78			(Comp: 1, Cost: 1)              evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 1, Cost: 1)              evalrsdbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
2.15/1.78	
2.15/1.78			(Comp: 1, Cost: 1)              evalrsdbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 2, Cost: 1)              evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdstop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 ]
2.15/1.78	
2.15/1.78			(Comp: 2, Cost: 1)              evalrsdbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsdbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsd3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrsd30(ar_0, ar_1, ar_2, ar_3, f), evalrsd31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsd30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsd31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsd4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.15/1.78	
2.15/1.78			(Comp: 24*ar_0 + 6, Cost: 1)    evalrsd4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrsdbb2in(ar_0, ar_2 - 1, ar_1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.15/1.78	
2.15/1.78		start location:	koat_start
2.15/1.78	
2.15/1.78		leaf cost:	0
2.15/1.78	
2.15/1.78	
2.15/1.78	
2.15/1.78	Complexity upper bound 168*ar_0 + 50
2.15/1.78	
2.15/1.78	
2.15/1.78	
2.15/1.78	Time: 0.522 sec (SMT: 0.426 sec)
2.15/1.78	
2.15/1.78	
2.15/1.78	----------------------------------------
2.15/1.78	
2.15/1.78	(2)
2.15/1.78	BOUNDS(1, n^1)
2.75/1.82	EOF