2.19/1.42	WORST_CASE(?, O(n^1))
2.19/1.43	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.19/1.43	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.19/1.43	
2.19/1.43	
2.19/1.43	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.19/1.43	
2.19/1.43	(0) CpxIntTrs
2.19/1.43	(1) Koat Proof [FINISHED, 179 ms]
2.19/1.43	(2) BOUNDS(1, n^1)
2.19/1.43	
2.19/1.43	
2.19/1.43	----------------------------------------
2.19/1.43	
2.19/1.43	(0)
2.19/1.43	Obligation:
2.19/1.43	Complexity Int TRS consisting of the following rules:
2.19/1.43	eval_foo_start(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE
2.19/1.43	eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE
2.19/1.43	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.01, v_.03, v_c, v_x, v_y, v_z)) :|: v_.01 >= v_.03 && v_.01 <= v_.03 && v_.01 > v_z
2.19/1.43	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 < v_.03
2.19/1.43	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 > v_.03
2.19/1.43	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 <= v_z
2.19/1.43	eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.14 > v_z
2.19/1.43	eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.12, v_.14, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.14 <= v_z
2.19/1.43	eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.12 - 1, v_.14 - 1, v_c, v_x, v_y, v_z)) :|: TRUE
2.19/1.43	eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE
2.19/1.43	
2.19/1.43	The start-symbols are:[eval_foo_start_8]
2.19/1.43	
2.19/1.43	
2.19/1.43	----------------------------------------
2.19/1.43	
2.19/1.43	(1) Koat Proof (FINISHED)
2.19/1.43	YES(?, 2*ar_3 + 2*ar_4 + 12)
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	Initial complexity problem:
2.19/1.43	
2.19/1.43	1:	T:
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.43	
2.19/1.43		start location:	koat_start
2.19/1.43	
2.19/1.43		leaf cost:	0
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.19/1.43	
2.19/1.43	2:	T:
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.43	
2.19/1.43		start location:	koat_start
2.19/1.43	
2.19/1.43		leaf cost:	0
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	A polynomial rank function with
2.19/1.43	
2.19/1.43		Pol(evalfoostart) = 2
2.19/1.43	
2.19/1.43		Pol(evalfoobb0in) = 2
2.19/1.43	
2.19/1.43		Pol(evalfoobb1in) = 2
2.19/1.43	
2.19/1.43		Pol(evalfoobb2in) = 2
2.19/1.43	
2.19/1.43		Pol(evalfoobb4in) = 1
2.19/1.43	
2.19/1.43		Pol(evalfoobb3in) = 2
2.19/1.43	
2.19/1.43		Pol(evalfoostop) = 0
2.19/1.43	
2.19/1.43		Pol(koat_start) = 2
2.19/1.43	
2.19/1.43	orients all transitions weakly and the transitions
2.19/1.43	
2.19/1.43		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43	strictly and produces the following problem:
2.19/1.43	
2.19/1.43	3:	T:
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.43	
2.19/1.43		start location:	koat_start
2.19/1.43	
2.19/1.43		leaf cost:	0
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	A polynomial rank function with
2.19/1.43	
2.19/1.43		Pol(evalfoobb3in) = 1
2.19/1.43	
2.19/1.43		Pol(evalfoobb2in) = 1
2.19/1.43	
2.19/1.43		Pol(evalfoobb1in) = 0
2.19/1.43	
2.19/1.43	and size complexities
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5
2.19/1.43	
2.19/1.43		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-0) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-2) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-0) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-2) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-0) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-2) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-0) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-2) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-0) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-2) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-5) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]", 0-6) = ?
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-0) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-2) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-5) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\\ ar_0 = ar_2 ]", 0-6) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5
2.19/1.43	
2.19/1.43		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5
2.19/1.43	
2.19/1.43		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6
2.19/1.43	
2.19/1.43	orients the transitions
2.19/1.43	
2.19/1.43		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43	weakly and the transition
2.19/1.43	
2.19/1.43		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43	strictly and produces the following problem:
2.19/1.43	
2.19/1.43	4:	T:
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.43	
2.19/1.43		start location:	koat_start
2.19/1.43	
2.19/1.43		leaf cost:	0
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	A polynomial rank function with
2.19/1.43	
2.19/1.43		Pol(evalfoostart) = V_4 - V_5
2.19/1.43	
2.19/1.43		Pol(evalfoobb0in) = V_4 - V_5
2.19/1.43	
2.19/1.43		Pol(evalfoobb1in) = V_3 - V_5
2.19/1.43	
2.19/1.43		Pol(evalfoobb2in) = -V_5 + V_7
2.19/1.43	
2.19/1.43		Pol(evalfoobb4in) = V_3 - V_5
2.19/1.43	
2.19/1.43		Pol(evalfoobb3in) = -V_5 + V_7 - 1
2.19/1.43	
2.19/1.43		Pol(evalfoostop) = V_3 - V_5
2.19/1.43	
2.19/1.43		Pol(koat_start) = V_4 - V_5
2.19/1.43	
2.19/1.43	orients all transitions weakly and the transition
2.19/1.43	
2.19/1.43		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43	strictly and produces the following problem:
2.19/1.43	
2.19/1.43	5:	T:
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.43	
2.19/1.43			(Comp: ar_3 + ar_4, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.43	
2.19/1.43			(Comp: ?, Cost: 1)              evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.43	
2.19/1.43			(Comp: 2, Cost: 1)              evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.43	
2.19/1.43		start location:	koat_start
2.19/1.43	
2.19/1.43		leaf cost:	0
2.19/1.43	
2.19/1.43	
2.19/1.43	
2.19/1.43	Repeatedly propagating knowledge in problem 5 produces the following problem:
2.19/1.43	
2.19/1.43	6:	T:
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.19/1.43	
2.19/1.43			(Comp: 1, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ]
2.19/1.44	
2.19/1.44			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ]
2.19/1.44	
2.19/1.44			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ]
2.19/1.44	
2.19/1.44			(Comp: 2, Cost: 1)              evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ]
2.19/1.44	
2.19/1.44			(Comp: ar_3 + ar_4, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ]
2.19/1.44	
2.19/1.44			(Comp: 1, Cost: 1)              evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ]
2.19/1.44	
2.19/1.44			(Comp: ar_3 + ar_4, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1))
2.19/1.44	
2.19/1.44			(Comp: 2, Cost: 1)              evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.19/1.44	
2.19/1.44			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.19/1.44	
2.19/1.44		start location:	koat_start
2.19/1.44	
2.19/1.44		leaf cost:	0
2.19/1.44	
2.19/1.44	
2.19/1.44	
2.19/1.44	Complexity upper bound 2*ar_3 + 2*ar_4 + 12
2.19/1.44	
2.19/1.44	
2.19/1.44	
2.19/1.44	Time: 0.164 sec (SMT: 0.119 sec)
2.19/1.44	
2.19/1.44	
2.19/1.44	----------------------------------------
2.19/1.44	
2.19/1.44	(2)
2.19/1.44	BOUNDS(1, n^1)
2.19/1.46	EOF