12.14/10.84	MAYBE
12.14/10.85	proof of /export/starexec/sandbox/output/output_files/bench.koat
12.14/10.85	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.14/10.85	
12.14/10.85	
12.14/10.85	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF).
12.14/10.85	
12.14/10.85	(0) CpxIntTrs
12.14/10.85	
12.14/10.85	
12.14/10.85	----------------------------------------
12.14/10.85	
12.14/10.85	(0)
12.14/10.85	Obligation:
12.14/10.85	Complexity Int TRS consisting of the following rules:
12.14/10.85	eval_serpent_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_n <= 0
12.14/10.85	eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_n, v_n, v_y.1, v_y.2)) :|: v_n > 0
12.14/10.85	eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.0, v_y.2)) :|: v_x.0 >= 0
12.14/10.85	eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_x.0 < 0
12.14/10.85	eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb2_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.1 >= 0
12.14/10.85	eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.1 < 0
12.14/10.85	eval_serpent_bb2_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_0(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_0(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2), eval_serpent_1(nondef.0, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_1(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb3_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_3 > 0
12.14/10.85	eval_serpent_1(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_3 <= 0
12.14/10.85	eval_serpent_bb3_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1 - 1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb4_in(v_3, v_x.0 - 1, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.1)) :|: TRUE
12.14/10.85	eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb5_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.2 <= v_n
12.14/10.85	eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_6, v_y.2, v_y.1, v_y.2)) :|: v_y.2 > v_n
12.14/10.85	eval_serpent_bb5_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_6(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_6(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2), eval_serpent_7(v_3, v_6, nondef.1, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	eval_serpent_7(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb6_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_8 > 0
12.14/10.85	eval_serpent_7(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_6, v_y.2, v_y.1, v_y.2)) :|: v_8 <= 0
12.14/10.85	eval_serpent_bb6_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2 + 1)) :|: TRUE
12.14/10.85	eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_stop(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
12.14/10.85	
12.14/10.85	The start-symbols are:[eval_serpent_start_8]
12.14/10.85	
12.19/10.87	EOF