2.56/1.70	WORST_CASE(?, O(n^1))
2.56/1.71	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.56/1.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.56/1.71	
2.56/1.71	
2.56/1.71	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.56/1.71	
2.56/1.71	(0) CpxIntTrs
2.56/1.71	(1) Koat Proof [FINISHED, 487 ms]
2.56/1.71	(2) BOUNDS(1, n^1)
2.56/1.71	
2.56/1.71	
2.56/1.71	----------------------------------------
2.56/1.71	
2.56/1.71	(0)
2.56/1.71	Obligation:
2.56/1.71	Complexity Int TRS consisting of the following rules:
2.56/1.71	eval_cryptRandWriteFile_start(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb0_in(v_.0, v_.0., v_bytes, v_i.0)) :|: TRUE
2.56/1.71	eval_cryptRandWriteFile_bb0_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb1_in(v_bytes, v_.0., v_bytes, v_i.0)) :|: TRUE
2.56/1.71	eval_cryptRandWriteFile_bb1_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_.0 > 0
2.56/1.71	eval_cryptRandWriteFile_bb1_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb6_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_.0 <= 0
2.56/1.71	eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, v_.0, v_bytes, 0)) :|: v_.0 < 256
2.56/1.71	eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, 256, v_bytes, 0)) :|: v_.0 >= 256
2.56/1.71	eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb4_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_i.0 < v_.0.
2.56/1.71	eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb5_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_i.0 >= v_.0.
2.56/1.71	eval_cryptRandWriteFile_bb4_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0 + 1)) :|: TRUE
2.56/1.71	eval_cryptRandWriteFile_bb5_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb1_in(v_.0 - v_.0., v_.0., v_bytes, v_i.0)) :|: TRUE
2.56/1.71	eval_cryptRandWriteFile_bb6_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_stop(v_.0, v_.0., v_bytes, v_i.0)) :|: TRUE
2.56/1.71	
2.56/1.71	The start-symbols are:[eval_cryptRandWriteFile_start_4]
2.56/1.71	
2.56/1.71	
2.56/1.71	----------------------------------------
2.56/1.71	
2.56/1.71	(1) Koat Proof (FINISHED)
2.56/1.71	YES(?, 8212*ar_1 + 6)
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	Initial complexity problem:
2.56/1.71	
2.56/1.71	1:	T:
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.56/1.71	
2.56/1.71	2:	T:
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	A polynomial rank function with
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilestart) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb0in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb1in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb2in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb6in) = 1
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb3in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb4in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb5in) = 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilestop) = 0
2.56/1.71	
2.56/1.71		Pol(koat_start) = 2
2.56/1.71	
2.56/1.71	orients all transitions weakly and the transitions
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71	strictly and produces the following problem:
2.56/1.71	
2.56/1.71	3:	T:
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1))
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)    evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb1in: -X_1 + X_2 >= 0
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb3in: X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 + 256 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb4in: -X_4 + 255 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ -X_3 - X_4 + 511 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 + 256 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb5in: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.56/1.71	
2.56/1.71	  For symbol evalcryptRandWriteFilebb6in: -X_1 + X_2 >= 0 /\ -X_1 >= 0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	This yielded the following problem:
2.56/1.71	
2.56/1.71	4:	T:
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)    evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ -ar_2 - ar_3 + 511 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)    evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	A polynomial rank function with
2.56/1.71	
2.56/1.71		Pol(koat_start) = 4*V_2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilestart) = 4*V_2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb6in) = 4*V_1
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilestop) = 4*V_1
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb5in) = 4*V_1 - 3
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb1in) = 4*V_1
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb4in) = 4*V_1 - 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb3in) = 4*V_1 - 2
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb2in) = 4*V_1 - 1
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb0in) = 4*V_2
2.56/1.71	
2.56/1.71	orients all transitions weakly and the transitions
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71	strictly and produces the following problem:
2.56/1.71	
2.56/1.71	5:	T:
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)         evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)    evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)         evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ -ar_2 - ar_3 + 511 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: ?, Cost: 1)         evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)    evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)         evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)    evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)         evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)         evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	A polynomial rank function with
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb4in) = -2*V_4 + 511
2.56/1.71	
2.56/1.71		Pol(evalcryptRandWriteFilebb3in) = -2*V_4 + 512
2.56/1.71	
2.56/1.71	and size complexities
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))", 0-0) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 1 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 1 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 1 ]", 0-2) = ar_2 + 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 1 ]", 0-3) = ar_3 + 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 ]", 0-2) = ar_2 + 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 ]", 0-3) = ar_3 + 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 255 >= ar_0 ]", 0-0) = 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 255 >= ar_0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 255 >= ar_0 ]", 0-2) = 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 255 >= ar_0 ]", 0-3) = 0
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_0 >= 256 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_0 >= 256 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_0 >= 256 ]", 0-2) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_0 >= 256 ]", 0-3) = 0
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_3 + 1 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_3 + 1 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_3 + 1 ]", 0-2) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_3 + 1 ]", 0-3) = 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_2 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_2 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_2 ]", 0-2) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_2 ]", 0-3) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ -ar_2 - ar_3 + 511 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ -ar_2 - ar_3 + 511 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ -ar_2 - ar_3 + 511 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ -ar_2 - ar_3 + 511 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ -ar_2 + ar_3 + 256 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ ar_0 + ar_3 - 2 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ ar_0 + ar_3 - 2 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ ar_0 + ar_3 - 2 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 2 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ ar_0 + ar_3 - 2 >= 0 /\\ -ar_2 + 256 >= 0 /\\ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 >= 0 ]", 0-0) = ar_1 + 255
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 >= 0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 >= 0 ]", 0-2) = ar_2 + 256
2.56/1.71	
2.56/1.71		S("evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 >= 0 ]", 0-3) = ar_3 + 256
2.56/1.71	
2.56/1.71		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.56/1.71	
2.56/1.71		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.56/1.71	
2.56/1.71		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.56/1.71	
2.56/1.71		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.56/1.71	
2.56/1.71	orients the transitions
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ -ar_2 - ar_3 + 511 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71	weakly and the transitions
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ -ar_2 - ar_3 + 511 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71		evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71	strictly and produces the following problem:
2.56/1.71	
2.56/1.71	6:	T:
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 0)            koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)            evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilestop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)       evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 4096*ar_1, Cost: 1)    evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3 + 1)) [ -ar_3 + 255 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ -ar_2 - ar_3 + 511 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)       evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_2 ]
2.56/1.71	
2.56/1.71			(Comp: 4096*ar_1, Cost: 1)    evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ -ar_2 + ar_3 + 256 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 256 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_3 + 1 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)       evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, 256, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 256 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)       evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb3in(ar_0, ar_1, ar_0, 0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 255 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: 2, Cost: 1)            evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb6in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.56/1.71	
2.56/1.71			(Comp: 4*ar_1, Cost: 1)       evalcryptRandWriteFilebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)            evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb1in(ar_1, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71			(Comp: 1, Cost: 1)            evalcryptRandWriteFilestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalcryptRandWriteFilebb0in(ar_0, ar_1, ar_2, ar_3))
2.56/1.71	
2.56/1.71		start location:	koat_start
2.56/1.71	
2.56/1.71		leaf cost:	0
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	Complexity upper bound 8212*ar_1 + 6
2.56/1.71	
2.56/1.71	
2.56/1.71	
2.56/1.71	Time: 0.476 sec (SMT: 0.389 sec)
2.56/1.71	
2.56/1.71	
2.56/1.71	----------------------------------------
2.56/1.71	
2.56/1.71	(2)
2.56/1.71	BOUNDS(1, n^1)
2.62/1.75	EOF