2.64/1.67	WORST_CASE(?, O(n^2))
2.75/1.68	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.75/1.68	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.75/1.68	
2.75/1.68	
2.75/1.68	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.75/1.68	
2.75/1.68	(0) CpxIntTrs
2.75/1.68	(1) Koat Proof [FINISHED, 480 ms]
2.75/1.68	(2) BOUNDS(1, n^2)
2.75/1.68	
2.75/1.68	
2.75/1.68	----------------------------------------
2.75/1.68	
2.75/1.68	(0)
2.75/1.68	Obligation:
2.75/1.68	Complexity Int TRS consisting of the following rules:
2.75/1.68	eval_foo_start(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.1, v_.13, v_r, v_x, v_y)) :|: TRUE
2.75/1.68	eval_foo_bb0_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, -(v_x), -(v_y), v_r, v_x, v_y)) :|: v_x < 0 && v_y < 0
2.75/1.68	eval_foo_bb0_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, -(v_x), v_y, v_r, v_x, v_y)) :|: v_x < 0 && v_y >= 0
2.75/1.68	eval_foo_bb0_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_x, -(v_y), v_r, v_x, v_y)) :|: v_x >= 0 && v_y < 0
2.75/1.68	eval_foo_bb0_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_x, v_y, v_r, v_x, v_y)) :|: v_x >= 0 && v_y >= 0
2.75/1.69	eval_foo_bb1_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.1, v_.1, v_.13, v_r, v_x, v_y)) :|: v_.13 > 0
2.75/1.69	eval_foo_bb1_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.1, v_.13, v_r, v_x, v_y)) :|: v_.13 <= 0
2.75/1.69	eval_foo_bb2_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.1, v_.13, v_r, v_x, v_y)) :|: v_.0 >= v_.13
2.75/1.69	eval_foo_bb2_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_.13, v_.0, v_r, v_x, v_y)) :|: v_.0 < v_.13
2.75/1.69	eval_foo_bb3_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0 - v_.13, v_.1, v_.13, v_r, v_x, v_y)) :|: TRUE
2.75/1.69	eval_foo_bb4_in(v_.0, v_.1, v_.13, v_r, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.1, v_.13, v_r, v_x, v_y)) :|: TRUE
2.75/1.69	
2.75/1.69	The start-symbols are:[eval_foo_start_6]
2.75/1.69	
2.75/1.69	
2.75/1.69	----------------------------------------
2.75/1.69	
2.75/1.69	(1) Koat Proof (FINISHED)
2.75/1.69	YES(?, 32*ar_0*ar_1 + 32*ar_1^2 + 32*ar_0 + 48*ar_1 + 25)
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	Initial complexity problem:
2.75/1.69	
2.75/1.69	1:	T:
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.75/1.69	
2.75/1.69	2:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	A polynomial rank function with
2.75/1.69	
2.75/1.69		Pol(evalfoostart) = 2
2.75/1.69	
2.75/1.69		Pol(evalfoobb0in) = 2
2.75/1.69	
2.75/1.69		Pol(evalfoobb1in) = 2
2.75/1.69	
2.75/1.69		Pol(evalfoobb2in) = 2
2.75/1.69	
2.75/1.69		Pol(evalfoobb4in) = 1
2.75/1.69	
2.75/1.69		Pol(evalfoobb3in) = 2
2.75/1.69	
2.75/1.69		Pol(evalfoostop) = 0
2.75/1.69	
2.75/1.69		Pol(koat_start) = 2
2.75/1.69	
2.75/1.69	orients all transitions weakly and the transitions
2.75/1.69	
2.75/1.69		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69	strictly and produces the following problem:
2.75/1.69	
2.75/1.69	3:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	A polynomial rank function with
2.75/1.69	
2.75/1.69		Pol(evalfoobb3in) = V_4
2.75/1.69	
2.75/1.69		Pol(evalfoobb2in) = V_4
2.75/1.69	
2.75/1.69		Pol(evalfoobb1in) = V_4 + 1
2.75/1.69	
2.75/1.69	and size complexities
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
2.75/1.69	
2.75/1.69	orients the transitions
2.75/1.69	
2.75/1.69		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69	weakly and the transition
2.75/1.69	
2.75/1.69		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69	strictly and produces the following problem:
2.75/1.69	
2.75/1.69	4:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	A polynomial rank function with
2.75/1.69	
2.75/1.69		Pol(evalfoobb3in) = 1
2.75/1.69	
2.75/1.69		Pol(evalfoobb2in) = 1
2.75/1.69	
2.75/1.69		Pol(evalfoobb1in) = 0
2.75/1.69	
2.75/1.69	and size complexities
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-2) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-3) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]", 0-4) = ?
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
2.75/1.69	
2.75/1.69	orients the transitions
2.75/1.69	
2.75/1.69		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69	weakly and the transition
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69	strictly and produces the following problem:
2.75/1.69	
2.75/1.69	5:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3))
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	Applied AI with 'oct' on problem 5 to obtain the following invariants:
2.75/1.69	
2.75/1.69	  For symbol evalfoobb1in: X_3 + X_4 >= 0 /\ X_3 >= 0
2.75/1.69	
2.75/1.69	  For symbol evalfoobb2in: X_3 - X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_3 >= 0
2.75/1.69	
2.75/1.69	  For symbol evalfoobb3in: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_3 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ X_3 - 1 >= 0
2.75/1.69	
2.75/1.69	  For symbol evalfoobb4in: -X_4 >= 0 /\ X_3 - X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_3 >= 0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	This yielded the following problem:
2.75/1.69	
2.75/1.69	6:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ ar_2 - 1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: ?, Cost: 1)             evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)             evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 /\ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 /\ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)             evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	A polynomial rank function with
2.75/1.69	
2.75/1.69		Pol(evalfoobb3in) = 2*V_3 + 2*V_5
2.75/1.69	
2.75/1.69		Pol(evalfoobb2in) = 2*V_3 + 2*V_5 + 1
2.75/1.69	
2.75/1.69	and size complexities
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\\ 0 >= ar_1 + 1 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-2) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-3) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\\ ar_1 >= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= 1 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= 1 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= 1 ]", 0-4) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ 0 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ 0 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ 0 >= ar_3 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ 0 >= ar_3 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 /\\ 0 >= ar_3 ]", 0-4) = ar_0 + ar_1 + ar_4
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_4 >= ar_3 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_4 >= ar_3 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_4 >= ar_3 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_4 >= ar_3 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_4 >= ar_3 ]", 0-4) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= ar_4 + 1 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= ar_4 + 1 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= ar_4 + 1 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= ar_4 + 1 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\\ ar_3 + ar_4 - 1 >= 0 /\\ ar_2 + ar_4 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_3 >= ar_4 + 1 ]", 0-4) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_3 + ar_4 - 2 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ ar_2 - 1 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_3 + ar_4 - 2 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ ar_2 - 1 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_3 + ar_4 - 2 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ ar_2 - 1 >= 0 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_3 + ar_4 - 2 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ ar_2 - 1 >= 0 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_3 + ar_4 - 2 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ ar_2 - 1 >= 0 ]", 0-4) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 ]", 0-2) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 ]", 0-3) = ar_0 + ar_1
2.75/1.69	
2.75/1.69		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_2 >= 0 ]", 0-4) = ar_0 + ar_1 + ar_4
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
2.75/1.69	
2.75/1.69		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
2.75/1.69	
2.75/1.69	orients the transitions
2.75/1.69	
2.75/1.69		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ ar_2 - 1 >= 0 ]
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69	weakly and the transitions
2.75/1.69	
2.75/1.69		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ ar_2 - 1 >= 0 ]
2.75/1.69	
2.75/1.69		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69	strictly and produces the following problem:
2.75/1.69	
2.75/1.69	7:	T:
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 0)                                                   koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)                                                   evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_3 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 16*ar_0*ar_1 + 16*ar_1^2 + 16*ar_0 + 20*ar_1 + 4, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - ar_3)) [ ar_2 - ar_4 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ ar_2 - 1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)                                          evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_4, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_3 >= ar_4 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 16*ar_0*ar_1 + 16*ar_1^2 + 16*ar_0 + 20*ar_1 + 4, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_2 >= 0 /\ ar_4 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: 2, Cost: 1)                                                   evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 /\ 0 >= ar_3 ]
2.75/1.69	
2.75/1.69			(Comp: 4*ar_1 + 4, Cost: 1)                                          evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_2)) [ ar_2 + ar_3 >= 0 /\ ar_2 >= 0 /\ ar_3 >= 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)                                                   evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_1, ar_4)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)                                                   evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, -ar_1, ar_4)) [ ar_0 >= 0 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)                                                   evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ ar_1 >= 0 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)                                                   evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, -ar_0, -ar_1, ar_4)) [ 0 >= ar_0 + 1 /\ 0 >= ar_1 + 1 ]
2.75/1.69	
2.75/1.69			(Comp: 1, Cost: 1)                                                   evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.75/1.69	
2.75/1.69		start location:	koat_start
2.75/1.69	
2.75/1.69		leaf cost:	0
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	Complexity upper bound 32*ar_0*ar_1 + 32*ar_1^2 + 32*ar_0 + 48*ar_1 + 25
2.75/1.69	
2.75/1.69	
2.75/1.69	
2.75/1.69	Time: 0.432 sec (SMT: 0.357 sec)
2.75/1.69	
2.75/1.69	
2.75/1.69	----------------------------------------
2.75/1.69	
2.75/1.69	(2)
2.75/1.69	BOUNDS(1, n^2)
2.75/1.70	EOF