5.07/4.03	MAYBE
5.07/4.05	proof of /export/starexec/sandbox/output/output_files/bench.koat
5.07/4.05	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.07/4.05	
5.07/4.05	
5.07/4.05	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF).
5.07/4.05	
5.07/4.05	(0) CpxIntTrs
5.07/4.05	
5.07/4.05	
5.07/4.05	----------------------------------------
5.07/4.05	
5.07/4.05	(0)
5.07/4.05	Obligation:
5.07/4.05	Complexity Int TRS consisting of the following rules:
5.07/4.05	eval_foo_start(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_2, v_i, v_j)) :|: TRUE
5.07/4.05	eval_foo_bb0_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_i, v_i, v_2, v_i, v_j)) :|: TRUE
5.07/4.05	eval_foo_bb1_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 > 0
5.07/4.05	eval_foo_bb1_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb9_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 <= 0
5.07/4.05	eval_foo_bb2_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 >= v_.01
5.07/4.05	eval_foo_bb2_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 < v_.01
5.07/4.05	eval_foo_bb3_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.0 + 1, v_i, v_j)) :|: v_.01 < 5
5.07/4.05	eval_foo_bb3_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.0 + 1, v_i, v_j)) :|: v_.01 >= 5
5.07/4.05	eval_foo_bb4_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_2 + 1, v_.01 + 1, v_2, v_i, v_j)) :|: v_2 - v_.01 - 1 > 2
5.07/4.05	eval_foo_bb4_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_2, v_.01 + 1, v_2, v_i, v_j)) :|: v_2 - v_.01 - 1 > 2 && v_2 - v_.01 - 1 <= 2
5.07/4.05	eval_foo_bb4_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_2 + 1, v_.01 + 2, v_2, v_i, v_j)) :|: v_2 - v_.01 - 1 <= 2 && v_2 - v_.01 - 1 > 2
5.07/4.05	eval_foo_bb4_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_2, v_.01 + 2, v_2, v_i, v_j)) :|: v_2 - v_.01 - 1 <= 2
5.07/4.05	eval_foo_bb5_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_2, v_.01 - 1, v_2, v_i, v_j)) :|: TRUE
5.07/4.05	eval_foo_bb6_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 > 0 && v_.01 < 0
5.07/4.05	eval_foo_bb6_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.0 <= 0
5.07/4.05	eval_foo_bb6_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.01 >= 0
5.07/4.05	eval_foo_bb7_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01 + 1, v_2, v_i, v_j)) :|: v_.01 < -(1)
5.07/4.05	eval_foo_bb7_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_2, v_i, v_j)) :|: v_.01 < -(1) && v_.01 >= -(1)
5.07/4.05	eval_foo_bb7_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_2, v_i, v_j)) :|: v_.01 >= -(1) && v_.01 < -(1)
5.07/4.05	eval_foo_bb7_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_2, v_i, v_j)) :|: v_.01 >= -(1)
5.07/4.05	eval_foo_bb8_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01 - 1, v_2, v_i, v_j)) :|: 2 * v_.01 > v_.0 + 1
5.07/4.05	eval_foo_bb8_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01 + 1, v_2, v_i, v_j)) :|: 2 * v_.01 <= v_.0 + 1
5.07/4.05	eval_foo_bb9_in(v_.0, v_.01, v_2, v_i, v_j) -> Com_1(eval_foo_stop(v_.0, v_.01, v_2, v_i, v_j)) :|: TRUE
5.07/4.05	
5.07/4.05	The start-symbols are:[eval_foo_start_5]
5.07/4.05	
5.07/4.08	EOF