details

property	value
status	complete
benchmark	CPU2006_ApplyBndRobin.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	117.215 seconds
cpu usage	119.64
user time	111.827
system time	7.81283
max virtual memory	1.9177516E7
max residence set size	718320.0

stage attributes

key	value
starexec-result	WORST_CASE(?, ?)

output

119.44/117.09 WORST_CASE(?, ?) 119.44/117.11 proof of /export/starexec/sandbox/output/output_files/bench.koat 119.44/117.11 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 119.44/117.11 119.44/117.11 119.44/117.11 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, EXP). 119.44/117.11 119.44/117.11 (0) CpxIntTrs 119.44/117.11 (1) Koat Proof [FINISHED, 115.8 s] 119.44/117.11 (2) BOUNDS(1, EXP) 119.44/117.11 119.44/117.11 119.44/117.11 ---------------------------------------- 119.44/117.11 119.44/117.11 (0) 119.44/117.11 Obligation: 119.44/117.11 Complexity Int TRS consisting of the following rules: 119.44/117.11 eval_ApplyBndRobin_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb0_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_bb0_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_first_var)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, 0, v_num_vars, v_var.0)) :|: v_var.0 < v_first_var + v_num_vars 119.44/117.11 eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb17_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_var.0 >= v_first_var + v_num_vars 119.44/117.11 eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 < v_GH_cctk_lsh_2 119.44/117.11 eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb16_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 >= v_GH_cctk_lsh_2 119.44/117.11 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb4_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 >= 0 && v_k.0 <= 0 119.44/117.11 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 < 0 119.44/117.11 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 > 0 119.44/117.11 eval_ApplyBndRobin_bb4_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_2(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_2(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_3(v_10, v_12, nondef.0, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 < 0 119.44/117.11 eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 > 0 119.44/117.11 eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 >= 0 && v_4 <= 0 119.44/117.11 eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_4(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_4(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_5(v_10, v_12, v_4, nondef.1, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, -(1), v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 < 0 119.44/117.11 eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, -(1), v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 > 0 119.44/117.11 eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 0, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 >= 0 && v_6 <= 0 119.44/117.11 eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, 0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.11 eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 < v_GH_cctk_lsh_1 119.44/117.12 eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb15_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 >= v_GH_cctk_lsh_1 119.44/117.12 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb9_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 >= 0 && v_j.0 <= 0 119.44/117.12 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 < 0 119.44/117.12 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 > 0 119.44/117.12 eval_ApplyBndRobin_bb9_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_7(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_7(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_8(nondef.2, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 < 0 119.44/117.12 eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 > 0 119.44/117.12 eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 >= 0 && v_10 <= 0 119.44/117.12 eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_9(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_9(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_10(v_10, nondef.3, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, -(1), v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 < 0 119.44/117.12 eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, -(1), v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 > 0 119.44/117.12 eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 0, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 >= 0 && v_12 <= 0 119.44/117.12 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 < 0 119.44/117.12 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 > 0 119.44/117.12 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dz.1 < 0 119.44/117.12 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dz.1 > 0 119.44/117.12 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 >= 0 && v_dy.1 <= 0 && v_dz.1 >= 0 && v_dz.1 <= 0 119.44/117.12 eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb13_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_i.0 < v_GH_cctk_lsh_0 - 1 119.44/117.12 eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_i.0 >= v_GH_cctk_lsh_0 - 1 119.44/117.12 eval_ApplyBndRobin_bb13_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0 + 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0 + 1, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_bb15_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0 + 1, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_bb16_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0 + 1)) :|: TRUE 119.44/117.12 eval_ApplyBndRobin_bb17_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_stop(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE 119.44/117.12 119.44/117.12 The start-symbols are:[eval_ApplyBndRobin_start_15] 119.44/117.12 119.44/117.12 119.44/117.12 ---------------------------------------- 119.44/117.12 119.44/117.12 (1) Koat Proof (FINISHED) 119.44/117.12 YES(?, pow(2, ar_2 + 2) * (66*ar_4 + 48) + 3 * pow(2, ar_2 + 2) * (44*ar_4 + 32) + 4 * pow(2, ar_2 + 2) * (44*ar_4^2 + 352*ar_10*ar_4 + 76*ar_4 + 256*ar_10 + 32) + 2 * pow(2, ar_2 + 2) * (88*ar_4^2 + 352*ar_10*ar_4 + 108*ar_4 + 256*ar_10 + 32) + 8 * pow(2, ar_2 + 2) * (44*ar_15*ar_4^2 + 352*ar_10*ar_15*ar_4 + 76*ar_15*ar_4 + 256*ar_10*ar_15 + 32*ar_15 + 44*ar_4^2 + 352*ar_10*ar_4 + 76*ar_4 + 256*ar_10 + 32) + 4 * pow(2, ar_2 + 2) * (88*ar_15*ar_4^2 + 352*ar_10*ar_15*ar_4 + 108*ar_15*ar_4 + 256*ar_10*ar_15 + 32*ar_15 + 88*ar_4^2 + 352*ar_10*ar_4 + 108*ar_4 + 256*ar_10 + 32) + 24 * pow(2, ar_2 + 2) * (22*ar_4^2 + 176*ar_10*ar_4 + 38*ar_4 + 128*ar_10 + 16) + 12 * pow(2, ar_2 + 2) * (44*ar_4^2 + 176*ar_10*ar_4 + 54*ar_4 + 128*ar_10 + 16) + 6 * pow(2, ar_2 + 2) * (66*ar_4^2 + 528*ar_10*ar_4 + 114*ar_4 + 384*ar_10 + 48) + 3 * pow(2, ar_2 + 2) * (132*ar_4^2 + 528*ar_10*ar_4 + 162*ar_4 + 384*ar_10 + 48) + 13 * pow(2, ar_2 + 2) * (22*ar_4 + 16) + 2 * pow(2, ar_2 + 2) * 2 + pow(2, ar_2 + 2) + 22) 119.44/117.12 119.44/117.12 119.44/117.12 119.44/117.12 Initial complexity problem: 119.44/117.12 119.44/117.12 1: T: 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, 0, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_1 + ar_2 >= ar_0 + 1 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb17in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_0 >= ar_1 + ar_2 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_4 >= ar_3 + 1 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb16in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_3 >= ar_4 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_3 = 0 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ 0 >= ar_3 + 1 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_3 >= 1 ] 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobinbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobin2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) 119.44/117.12 119.44/117.12 (Comp: ?, Cost: 1) evalApplyBndRobin20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) popout

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all output return to Complexity_C_Integer 2019-03-21 04.38