2.56/1.75	WORST_CASE(?, O(n^1))
2.56/1.76	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.56/1.76	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.56/1.76	
2.56/1.76	
2.56/1.76	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.56/1.76	
2.56/1.76	(0) CpxIntTrs
2.56/1.76	(1) Koat Proof [FINISHED, 366 ms]
2.56/1.76	(2) BOUNDS(1, n^1)
2.56/1.76	
2.56/1.76	
2.56/1.76	----------------------------------------
2.56/1.76	
2.56/1.76	(0)
2.56/1.76	Obligation:
2.56/1.76	Complexity Int TRS consisting of the following rules:
2.56/1.76	eval_t27_start(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb0_in(v_.0, v_.01, v_.1, v_1, v_n, v_y)) :|: TRUE
2.56/1.76	eval_t27_bb0_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb1_in(v_n, v_y, v_.1, v_1, v_n, v_y)) :|: TRUE
2.56/1.76	eval_t27_bb1_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb2_in(v_.0, v_.01, v_.1, v_1, v_n, v_y)) :|: v_.0 < 0
2.56/1.76	eval_t27_bb1_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb5_in(v_.0, v_.01, v_.1, v_1, v_n, v_y)) :|: v_.0 >= 0
2.56/1.76	eval_t27_bb2_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb3_in(v_.0, v_.01, v_.01 + 1000, v_.0 + 1, v_n, v_y)) :|: TRUE
2.56/1.76	eval_t27_bb3_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb4_in(v_.0, v_.01, v_.1, v_1, v_n, v_y)) :|: v_.1 >= 100
2.56/1.76	eval_t27_bb3_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb1_in(v_1, v_.1, v_.1, v_1, v_n, v_y)) :|: v_.1 < 100
2.56/1.76	eval_t27_bb4_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_bb3_in(v_.0, v_.01, v_.1 - 100, v_1, v_n, v_y)) :|: TRUE
2.56/1.76	eval_t27_bb5_in(v_.0, v_.01, v_.1, v_1, v_n, v_y) -> Com_1(eval_t27_stop(v_.0, v_.01, v_.1, v_1, v_n, v_y)) :|: TRUE
2.56/1.76	
2.56/1.76	The start-symbols are:[eval_t27_start_6]
2.56/1.76	
2.56/1.76	
2.56/1.76	----------------------------------------
2.56/1.76	
2.56/1.76	(1) Koat Proof (FINISHED)
2.56/1.76	YES(?, 4003*ar_1 + 4*ar_3 + 6)
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Initial complexity problem:
2.56/1.76	
2.56/1.76	1:	T:
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.56/1.76	
2.56/1.76	2:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)    evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)    evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	A polynomial rank function with
2.56/1.76	
2.56/1.76		Pol(evalt27start) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27bb0in) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27bb1in) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27bb2in) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27bb5in) = 1
2.56/1.76	
2.56/1.76		Pol(evalt27bb3in) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27bb4in) = 2
2.56/1.76	
2.56/1.76		Pol(evalt27stop) = 0
2.56/1.76	
2.56/1.76		Pol(koat_start) = 2
2.56/1.76	
2.56/1.76	orients all transitions weakly and the transitions
2.56/1.76	
2.56/1.76		evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76		evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76	strictly and produces the following problem:
2.56/1.76	
2.56/1.76	3:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)    evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)    evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)    evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)    evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	A polynomial rank function with
2.56/1.76	
2.56/1.76		Pol(evalt27start) = -V_2
2.56/1.76	
2.56/1.76		Pol(evalt27bb0in) = -V_2
2.56/1.76	
2.56/1.76		Pol(evalt27bb1in) = -V_1
2.56/1.76	
2.56/1.76		Pol(evalt27bb2in) = -V_1 - 1
2.56/1.76	
2.56/1.76		Pol(evalt27bb5in) = -V_1
2.56/1.76	
2.56/1.76		Pol(evalt27bb3in) = -V_6
2.56/1.76	
2.56/1.76		Pol(evalt27bb4in) = -V_6
2.56/1.76	
2.56/1.76		Pol(evalt27stop) = -V_1
2.56/1.76	
2.56/1.76		Pol(koat_start) = -V_2
2.56/1.76	
2.56/1.76	orients all transitions weakly and the transition
2.56/1.76	
2.56/1.76		evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76	strictly and produces the following problem:
2.56/1.76	
2.56/1.76	4:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Repeatedly propagating knowledge in problem 4 produces the following problem:
2.56/1.76	
2.56/1.76	5:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	A polynomial rank function with
2.56/1.76	
2.56/1.76		Pol(evalt27bb4in) = 1
2.56/1.76	
2.56/1.76		Pol(evalt27bb3in) = 1
2.56/1.76	
2.56/1.76		Pol(evalt27bb1in) = 0
2.56/1.76	
2.56/1.76	and size complexities
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.56/1.76	
2.56/1.76		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = 2*ar_1 + 2*ar_5
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))", 0-5) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]", 0-5) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]", 0-5) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))", 0-5) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]", 0-5) = 2*ar_1 + 2*ar_5
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-0) = 2*ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-2) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-4) = ?
2.56/1.76	
2.56/1.76		S("evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]", 0-5) = 2*ar_1 + 2*ar_5
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.56/1.76	
2.56/1.76		S("evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.56/1.76	
2.56/1.76		S("evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.56/1.76	
2.56/1.76	orients the transitions
2.56/1.76	
2.56/1.76		evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76		evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76		evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76	weakly and the transition
2.56/1.76	
2.56/1.76		evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76	strictly and produces the following problem:
2.56/1.76	
2.56/1.76	6:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1))
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Applied AI with 'oct' on problem 6 to obtain the following invariants:
2.56/1.76	
2.56/1.76	  For symbol evalt27bb1in: X_1 - X_2 >= 0
2.56/1.76	
2.56/1.76	  For symbol evalt27bb2in: -X_2 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 - 2 >= 0 /\ -X_1 - 1 >= 0
2.56/1.76	
2.56/1.76	  For symbol evalt27bb3in: -X_6 >= 0 /\ -X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 + 1 >= 0 /\ -X_1 - X_6 - 1 >= 0 /\ -X_2 + X_6 - 1 >= 0 /\ -X_1 + X_6 - 1 >= 0 /\ X_3 - X_5 + 1000 >= 0 /\ -X_2 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 - 2 >= 0 /\ -X_1 - 1 >= 0
2.56/1.76	
2.56/1.76	  For symbol evalt27bb4in: -X_6 >= 0 /\ X_5 - X_6 - 100 >= 0 /\ X_3 - X_6 + 900 >= 0 /\ -X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 + 1 >= 0 /\ -X_1 - X_6 - 1 >= 0 /\ -X_2 + X_6 - 1 >= 0 /\ -X_1 + X_6 - 1 >= 0 /\ X_3 - X_5 + 1000 >= 0 /\ X_5 - 100 >= 0 /\ X_3 + X_5 + 800 >= 0 /\ -X_2 + X_5 - 101 >= 0 /\ -X_1 + X_5 - 101 >= 0 /\ X_3 + 900 >= 0 /\ -X_2 + X_3 + 899 >= 0 /\ -X_1 + X_3 + 899 >= 0 /\ -X_2 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 - 2 >= 0 /\ -X_1 - 1 >= 0
2.56/1.76	
2.56/1.76	  For symbol evalt27bb5in: X_1 - X_2 >= 0 /\ X_1 >= 0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	This yielded the following problem:
2.56/1.76	
2.56/1.76	7:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5)) [ -ar_5 >= 0 /\ ar_4 - ar_5 - 100 >= 0 /\ ar_2 - ar_5 + 900 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ ar_4 - 100 >= 0 /\ ar_2 + ar_4 + 800 >= 0 /\ -ar_1 + ar_4 - 101 >= 0 /\ -ar_0 + ar_4 - 101 >= 0 /\ ar_2 + 900 >= 0 /\ -ar_1 + ar_2 + 899 >= 0 /\ -ar_0 + ar_2 + 899 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ -ar_5 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 /\ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: ?, Cost: 1)       evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_5 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 /\ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1)) [ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)       evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)    evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)       evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	A polynomial rank function with
2.56/1.76	
2.56/1.76		Pol(koat_start) = -2000*V_2 + 2*V_4
2.56/1.76	
2.56/1.76		Pol(evalt27start) = -2000*V_2 + 2*V_4
2.56/1.76	
2.56/1.76		Pol(evalt27bb5in) = -2000*V_1 + 2*V_3
2.56/1.76	
2.56/1.76		Pol(evalt27stop) = -2000*V_1 + 2*V_3
2.56/1.76	
2.56/1.76		Pol(evalt27bb4in) = 2*V_5 - 2000*V_6 - 100
2.56/1.76	
2.56/1.76		Pol(evalt27bb3in) = 2*V_5 - 2000*V_6
2.56/1.76	
2.56/1.76		Pol(evalt27bb1in) = -2000*V_1 + 2*V_3
2.56/1.76	
2.56/1.76		Pol(evalt27bb2in) = -2000*V_1 + 2*V_3
2.56/1.76	
2.56/1.76		Pol(evalt27bb0in) = -2000*V_2 + 2*V_4
2.56/1.76	
2.56/1.76	orients all transitions weakly and the transitions
2.56/1.76	
2.56/1.76		evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5)) [ -ar_5 >= 0 /\ ar_4 - ar_5 - 100 >= 0 /\ ar_2 - ar_5 + 900 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ ar_4 - 100 >= 0 /\ ar_2 + ar_4 + 800 >= 0 /\ -ar_1 + ar_4 - 101 >= 0 /\ -ar_0 + ar_4 - 101 >= 0 /\ ar_2 + 900 >= 0 /\ -ar_1 + ar_2 + 899 >= 0 /\ -ar_0 + ar_2 + 899 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 ]
2.56/1.76	
2.56/1.76		evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_5 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 /\ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76	strictly and produces the following problem:
2.56/1.76	
2.56/1.76	8:	T:
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 0)                     koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)                     evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: 2000*ar_1 + 2*ar_3, Cost: 1)    evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 100, ar_5)) [ -ar_5 >= 0 /\ ar_4 - ar_5 - 100 >= 0 /\ ar_2 - ar_5 + 900 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ ar_4 - 100 >= 0 /\ ar_2 + ar_4 + 800 >= 0 /\ -ar_1 + ar_4 - 101 >= 0 /\ -ar_0 + ar_4 - 101 >= 0 /\ ar_2 + 900 >= 0 /\ -ar_1 + ar_2 + 899 >= 0 /\ -ar_0 + ar_2 + 899 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)                  evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_5, ar_1, ar_4, ar_3, ar_4, ar_5)) [ -ar_5 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 /\ 99 >= ar_4 ]
2.56/1.76	
2.56/1.76			(Comp: 2000*ar_1 + 2*ar_3, Cost: 1)    evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_5 >= 0 /\ -ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 + 1 >= 0 /\ -ar_0 - ar_5 - 1 >= 0 /\ -ar_1 + ar_5 - 1 >= 0 /\ -ar_0 + ar_5 - 1 >= 0 /\ ar_2 - ar_4 + 1000 >= 0 /\ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 /\ ar_4 >= 100 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)                  evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1000, ar_0 + 1)) [ -ar_1 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 - 2 >= 0 /\ -ar_0 - 1 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: 2, Cost: 1)                     evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.56/1.76	
2.56/1.76			(Comp: ar_1, Cost: 1)                  evalt27bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ 0 >= ar_0 + 1 ]
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)                     evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76			(Comp: 1, Cost: 1)                     evalt27start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt27bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.56/1.76	
2.56/1.76		start location:	koat_start
2.56/1.76	
2.56/1.76		leaf cost:	0
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Complexity upper bound 4003*ar_1 + 4*ar_3 + 6
2.56/1.76	
2.56/1.76	
2.56/1.76	
2.56/1.76	Time: 0.369 sec (SMT: 0.290 sec)
2.56/1.76	
2.56/1.76	
2.56/1.76	----------------------------------------
2.56/1.76	
2.56/1.76	(2)
2.56/1.76	BOUNDS(1, n^1)
2.66/1.78	EOF