details

property	value
status	complete
benchmark	nestedLoop.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	61.7746 seconds
cpu usage	74.2882
user time	71.6302
system time	2.65801
max virtual memory	1.9014844E7
max residence set size	311060.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^2), O(n^3))

output

74.12/61.71 WORST_CASE(Omega(n^2), O(n^3)) 74.12/61.74 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 74.12/61.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 74.12/61.74 74.12/61.74 74.12/61.74 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, max(6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * max(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(-12 * Arg_0 * Arg_1, max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), 0), 0), min(6 * Arg_2 * max(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0), 0) + 6 * Arg_2 * max(6, 6 * Arg_1), 6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * nat(min(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0)))), 6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * nat(min(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0))), 0) + nat(5 * Arg_0) + max(2, 2 + 36 * Arg_0 * Arg_1, 2 + 36 * Arg_1 * Arg_0, min(2 + 36 * Arg_1 * Arg_0, 2 + 36 * Arg_0 * Arg_1)) + nat(6 * Arg_1) + nat(8 * Arg_1) + nat(6 * Arg_0 * nat(8 * Arg_1) + 6 * Arg_0^2) + nat(5 * Arg_2) + max(10, 10 + 6 * Arg_0) + nat(6 * Arg_2) + max(6 * Arg_1 * Arg_2, 6 * Arg_2 * Arg_1, 0) + max(2, 2 + 12 * Arg_0^2) + nat(8 * Arg_0) + max(min(12 * Arg_1 * Arg_0, 12 * Arg_0 * Arg_1), 0, 12 * Arg_1 * Arg_0, 12 * Arg_0 * Arg_1) + nat(12 * Arg_0) + max(18 * Arg_1 * Arg_0, 18 * Arg_0 * Arg_1, 0) + nat(nat(6 * Arg_0) + nat(4 * Arg_1)) + nat(6 * Arg_0 * max(6, 6 * Arg_0) + 6 * Arg_0 * nat(4 * Arg_1)) + max(1, 1 + 8 * Arg_0) + max(min(24 * Arg_1 * Arg_0, 24 * Arg_0 * Arg_1), 24 * Arg_0 * Arg_1, 24 * Arg_1 * Arg_0, 0) + nat(Arg_0 + nat(8 * Arg_1))). 74.12/61.74 74.12/61.74 (0) CpxIntTrs 74.12/61.74 (1) Koat2 Proof [FINISHED, 60.0 s] 74.12/61.74 (2) BOUNDS(1, max(6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * max(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(-12 * Arg_0 * Arg_1, max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), 0), 0), min(6 * Arg_2 * max(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0), 0) + 6 * Arg_2 * max(6, 6 * Arg_1), 6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * nat(min(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0)))), 6 * Arg_2 * max(6, 6 * Arg_1) + 6 * Arg_2 * nat(min(min(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0, 0) + min(-2 * Arg_1, 0), min(-2 * Arg_1, 0) + min(max(-12 * Arg_0 * Arg_1, -12 * Arg_1 * Arg_0), -12 * Arg_0 * Arg_1, 0))), 0) + nat(5 * Arg_0) + max(2, 2 + 36 * Arg_0 * Arg_1, 2 + 36 * Arg_1 * Arg_0, min(2 + 36 * Arg_1 * Arg_0, 2 + 36 * Arg_0 * Arg_1)) + nat(6 * Arg_1) + nat(8 * Arg_1) + nat(6 * Arg_0 * nat(8 * Arg_1) + 6 * Arg_0^2) + nat(5 * Arg_2) + max(10, 10 + 6 * Arg_0) + nat(6 * Arg_2) + max(6 * Arg_1 * Arg_2, 6 * Arg_2 * Arg_1, 0) + max(2, 2 + 12 * Arg_0^2) + nat(8 * Arg_0) + max(min(12 * Arg_1 * Arg_0, 12 * Arg_0 * Arg_1), 0, 12 * Arg_1 * Arg_0, 12 * Arg_0 * Arg_1) + nat(12 * Arg_0) + max(18 * Arg_1 * Arg_0, 18 * Arg_0 * Arg_1, 0) + nat(nat(6 * Arg_0) + nat(4 * Arg_1)) + nat(6 * Arg_0 * max(6, 6 * Arg_0) + 6 * Arg_0 * nat(4 * Arg_1)) + max(1, 1 + 8 * Arg_0) + max(min(24 * Arg_1 * Arg_0, 24 * Arg_0 * Arg_1), 24 * Arg_0 * Arg_1, 24 * Arg_1 * Arg_0, 0) + nat(Arg_0 + nat(8 * Arg_1))) 74.12/61.74 (3) Loat Proof [FINISHED, 4241 ms] 74.12/61.74 (4) BOUNDS(n^2, INF) 74.12/61.74 74.12/61.74 74.12/61.74 ---------------------------------------- 74.12/61.74 74.12/61.74 (0) 74.12/61.74 Obligation: 74.12/61.74 Complexity Int TRS consisting of the following rules: 74.12/61.74 eval_nestedLoop_start(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb0_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_bb0_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_0(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_0(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_1(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_1(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_2(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_2(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_3(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_3(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb1_in(v_10, v_14, v_3, v_6, v_9, v_N, 0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 <= v_n && 0 <= v_m && 0 <= v_N 74.12/61.74 eval_nestedLoop_3(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_n 74.12/61.74 eval_nestedLoop_3(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_m 74.12/61.74 eval_nestedLoop_3(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_N 74.12/61.74 eval_nestedLoop_bb1_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_4(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_4(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_5(v_10, v_14, nondef_0, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_5(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb2_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_0, 0, v_k_0, v_m, v_n)) :|: v_3 > 0 && v_i_0 < v_n 74.12/61.74 eval_nestedLoop_5(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_3 <= 0 74.12/61.74 eval_nestedLoop_5(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_i_0 >= v_n 74.12/61.74 eval_nestedLoop_bb2_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_6(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_6(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_7(v_10, v_14, v_3, nondef_1, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_7(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb3_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_6 > 0 && v_j_0 < v_m 74.12/61.74 eval_nestedLoop_7(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb6_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_6 <= 0 74.12/61.74 eval_nestedLoop_7(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb6_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_j_0 >= v_m 74.12/61.74 eval_nestedLoop_bb3_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb4_in(v_10, v_14, v_3, v_6, v_j_0 + 1, v_N, v_i_0, v_i_1, v_j_0, v_i_1, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_bb4_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_10(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_10(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_11(nondef_2, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_11(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb5_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_10 > 0 && v_k_0 < v_N 74.12/61.74 eval_nestedLoop_11(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb2_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_k_0, v_9, v_k_0, v_m, v_n)) :|: v_10 <= 0 74.12/61.74 eval_nestedLoop_11(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb2_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_k_0, v_9, v_k_0, v_m, v_n)) :|: v_k_0 >= v_N 74.12/61.74 eval_nestedLoop_bb5_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb4_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0 + 1, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_bb6_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_15(v_10, v_i_1 + 1, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_15(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_16(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_16(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_bb1_in(v_10, v_14, v_3, v_6, v_9, v_N, v_14, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 eval_nestedLoop_bb7_in(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop_stop(v_10, v_14, v_3, v_6, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE 74.12/61.74 74.12/61.74 The start-symbols are:[eval_nestedLoop_start_12] 74.12/61.74 74.12/61.74 74.12/61.74 ---------------------------------------- 74.12/61.74 74.12/61.74 (1) Koat2 Proof (FINISHED) 74.12/61.74 YES( ?, 10+max([0, 6*Arg_0])+max([0, Arg_1])+max([0, 6*Arg_2])+max([0, max([6*-(Arg_2)*-(Arg_1), 6*Arg_1*Arg_2])])+max([0, max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])+max([0, Arg_1])+max([0, max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])+max([0, Arg_0+max([0, 8*Arg_1])])+max([0, 6*Arg_0*(Arg_0+max([0, 8*Arg_1]))])+max([0, 5*Arg_2])+max([1, 1+max([6*-(Arg_0)*-(Arg_0), 6*Arg_0*Arg_0])])+max([0, Arg_1])+max([0, 8*Arg_0])+max([0, max([2*min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 2*max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, 6*Arg_0])+max([0, Arg_1])+max([0, max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])+max([0, max([0, 6*Arg_0])+max([0, 4*Arg_1])])+max([0, 6*Arg_0*(max([6, 6*Arg_0])+max([0, 4*Arg_1]))])+max([0, 4*Arg_1])+max([1, 1+8*Arg_0])+max([0, max([4*min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 4*max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([1, 1+max([6*-(Arg_0)*-(Arg_0), 6*Arg_0*Arg_0])])+max([0, max([6*min([-(-(Arg_2)*(max([6, 6*Arg_1])+max([0, min([-(2*(max([0, max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])])+max([0, Arg_1]))), -(2*(max([0, max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, Arg_1])))])]))), -(-(Arg_2)*(max([6, 6*Arg_1])+max([0, max([-2*(max([0, max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])])+max([0, Arg_1])), -2*(max([0, max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, Arg_1]))])])))]), 6*max([Arg_2*(max([6, 6*Arg_1])+max([0, min([-(2*(max([0, max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])])+max([0, Arg_1]))), -(2*(max([0, max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, Arg_1])))])])), Arg_2*(max([6, 6*Arg_1])+max([0, max([-2*(max([0, max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])])+max([0, Arg_1])), -2*(max([0, max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, Arg_1]))])]))])])])+max([0, 5*Arg_0])+max([2, 2+max([6*min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])])])+max([0, 6*Arg_0])+max([0, 6*Arg_1]) {O(n^3)}) 74.12/61.74 74.12/61.74 74.12/61.74 74.12/61.74 Initial Complexity Problem: 74.12/61.74 74.12/61.74 Start: evalnestedLoopstart 74.12/61.74 74.12/61.74 Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9, Arg_10, Arg_11 74.12/61.74 74.12/61.74 Temp_Vars: M 74.12/61.74 74.12/61.74 Locations: evalnestedLoop0, evalnestedLoop1, evalnestedLoop10, evalnestedLoop11, evalnestedLoop15, evalnestedLoop16, evalnestedLoop2, evalnestedLoop3, evalnestedLoop4, evalnestedLoop5, evalnestedLoop6, evalnestedLoop7, evalnestedLoopbb0in, evalnestedLoopbb1in, evalnestedLoopbb2in, evalnestedLoopbb3in, evalnestedLoopbb4in, evalnestedLoopbb5in, evalnestedLoopbb6in, evalnestedLoopbb7in, evalnestedLoopstart, evalnestedLoopstop 74.12/61.74 74.12/61.74 Transitions: 74.12/61.74 74.12/61.74 evalnestedLoop0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: 74.12/61.74 74.12/61.74 evalnestedLoop1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: 74.12/61.74 74.12/61.74 evalnestedLoop10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,M,Arg_11):|:0 <= Arg_9 && 1 <= Arg_8+Arg_9 && 1 <= Arg_7+Arg_9 && 0 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && Arg_5 <= Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && Arg_3 <= Arg_9 && 0 <= Arg_2+Arg_9 && 1 <= Arg_1+Arg_9 && 1 <= Arg_0+Arg_9 && Arg_8 <= 1+Arg_6 && Arg_8 <= Arg_1 && 1 <= Arg_8 && 2 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && 1+Arg_6 <= Arg_8 && 1 <= Arg_5+Arg_8 && 2 <= Arg_4+Arg_8 && 1 <= Arg_3+Arg_8 && 1 <= Arg_2+Arg_8 && 2 <= Arg_1+Arg_8 && 2 <= Arg_0+Arg_8 && 1 <= Arg_7 && 1 <= Arg_6+Arg_7 && 1 <= Arg_5+Arg_7 && 2 <= Arg_4+Arg_7 && 1 <= Arg_3+Arg_7 && 1 <= Arg_2+Arg_7 && 2 <= Arg_1+Arg_7 && 2 <= Arg_0+Arg_7 && 1+Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 74.12/61.74 74.12/61.74 evalnestedLoop11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_9,Arg_8,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:0 <= Arg_9 && 1 <= Arg_8+Arg_9 && 1 <= Arg_7+Arg_9 && 0 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && Arg_5 <= Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && Arg_3 <= Arg_9 && 0 <= Arg_2+Arg_9 && 1 <= Arg_1+Arg_9 && 1 <= Arg_0+Arg_9 && Arg_8 <= 1+Arg_6 && Arg_8 <= Arg_1 && 1 <= Arg_8 && 2 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && 1+Arg_6 <= Arg_8 && 1 <= Arg_5+Arg_8 && 2 <= Arg_4+Arg_8 && 1 <= Arg_3+Arg_8 && 1 <= Arg_2+Arg_8 && 2 <= Arg_1+Arg_8 && 2 <= Arg_0+Arg_8 && 1 <= Arg_7 && 1 <= Arg_6+Arg_7 && 1 <= Arg_5+Arg_7 && 2 <= Arg_4+Arg_7 && 1 <= Arg_3+Arg_7 && 1 <= Arg_2+Arg_7 && 2 <= Arg_1+Arg_7 && 2 <= Arg_0+Arg_7 && 1+Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 && Arg_10 <= 0 74.12/61.74 74.12/61.74 evalnestedLoop11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_9,Arg_8,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:0 <= Arg_9 && 1 <= Arg_8+Arg_9 && 1 <= Arg_7+Arg_9 && 0 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && Arg_5 <= Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && Arg_3 <= Arg_9 && 0 <= Arg_2+Arg_9 && 1 <= Arg_1+Arg_9 && 1 <= Arg_0+Arg_9 && Arg_8 <= 1+Arg_6 && Arg_8 <= Arg_1 && 1 <= Arg_8 && 2 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && 1+Arg_6 <= Arg_8 && 1 <= Arg_5+Arg_8 && 2 <= Arg_4+Arg_8 && 1 <= Arg_3+Arg_8 && 1 <= Arg_2+Arg_8 && 2 <= Arg_1+Arg_8 && 2 <= Arg_0+Arg_8 && 1 <= Arg_7 && 1 <= Arg_6+Arg_7 && 1 <= Arg_5+Arg_7 && 2 <= Arg_4+Arg_7 && 1 <= Arg_3+Arg_7 && 1 <= Arg_2+Arg_7 && 2 <= Arg_1+Arg_7 && 2 <= Arg_0+Arg_7 && 1+Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 && Arg_2 <= Arg_9 74.12/61.74 74.12/61.74 evalnestedLoop11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:0 <= Arg_9 && 1 <= Arg_8+Arg_9 && 1 <= Arg_7+Arg_9 && 0 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && Arg_5 <= Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && Arg_3 <= Arg_9 && 0 <= Arg_2+Arg_9 && 1 <= Arg_1+Arg_9 && 1 <= Arg_0+Arg_9 && Arg_8 <= 1+Arg_6 && Arg_8 <= Arg_1 && 1 <= Arg_8 && 2 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && 1+Arg_6 <= Arg_8 && 1 <= Arg_5+Arg_8 && 2 <= Arg_4+Arg_8 && 1 <= Arg_3+Arg_8 && 1 <= Arg_2+Arg_8 && 2 <= Arg_1+Arg_8 && 2 <= Arg_0+Arg_8 && 1 <= Arg_7 && 1 <= Arg_6+Arg_7 && 1 <= Arg_5+Arg_7 && 2 <= Arg_4+Arg_7 && 1 <= Arg_3+Arg_7 && 1 <= Arg_2+Arg_7 && 2 <= Arg_1+Arg_7 && 2 <= Arg_0+Arg_7 && 1+Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 && 1 <= Arg_10 && Arg_9+1 <= Arg_2 74.12/61.74 74.12/61.74 evalnestedLoop15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_11+Arg_6 && 0 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 1+Arg_5 <= Arg_11 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_11+Arg_5 && Arg_11 <= 1+Arg_5 && 0 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_11+Arg_4 && 1 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_11 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_11+Arg_3 && 0 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_11+Arg_2 && 0 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_11 && 1 <= Arg_1+Arg_11 && 2 <= Arg_0+Arg_11 && 0 <= Arg_1 && 1 <= Arg_0+Arg_1 && 1 <= Arg_0 74.12/61.74 74.12/61.74 evalnestedLoop16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb1in(Arg_0,Arg_1,Arg_2,Arg_11,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_6 <= Arg_1 && 0 <= Arg_6 && 0 <= Arg_5+Arg_6 && 1 <= Arg_4+Arg_6 && 0 <= Arg_3+Arg_6 && 0 <= Arg_2+Arg_6 && 1 <= Arg_11+Arg_6 && 0 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 1+Arg_5 <= Arg_11 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 0 <= Arg_2+Arg_5 && 1 <= Arg_11+Arg_5 && Arg_11 <= 1+Arg_5 && 0 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_11+Arg_4 && 1 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_11 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 1 <= Arg_11+Arg_3 && 0 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_11+Arg_2 && 0 <= Arg_1+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_11 && 1 <= Arg_1+Arg_11 && 2 <= Arg_0+Arg_11 && 0 <= Arg_1 && 1 <= Arg_0+Arg_1 && 1 <= Arg_0 74.12/61.74 74.12/61.74 evalnestedLoop2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: 74.12/61.74 74.12/61.74 evalnestedLoop3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb1in(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:0 <= Arg_0 && 0 <= Arg_1 && 0 <= Arg_2 74.12/61.74 74.12/61.74 evalnestedLoop3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_0+1 <= 0 74.12/61.74 74.12/61.74 evalnestedLoop3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_1+1 <= 0 74.12/61.74 74.12/61.74 evalnestedLoop3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoopbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_2+1 <= 0 74.12/61.74 74.12/61.74 evalnestedLoop4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalnestedLoop5(Arg_0,Arg_1,Arg_2,Arg_3,M,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 0 <= Arg_1+Arg_3 && 0 <= Arg_0+Arg_3 && 0 <= Arg_2 && 0 <= Arg_1+Arg_2 && 0 <= Arg_0+Arg_2 && 0 <= Arg_1 && 0 <= Arg_0+Arg_1 && 0 <= Arg_0 74.12/61.74 popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Complexity_ITS 2019-03-21 04.46