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Compl Integ Trans Syste 26843 pair #381744685
details
property
value
status
complete
benchmark
nested_loop.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
79.3699989319 seconds
cpu usage
93.743727604
max memory
6.2468096E8
stage attributes
key
value
output-size
224011
starexec-result
WORST_CASE(Omega(n^2), O(n^3))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), O(n^3)) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, nat(6 * Arg_1) + max(nat(6 * Arg_1) * max(3, 3 * Arg_0) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * max(3, 3 * Arg_0), nat(6 * Arg_1) * max(3, 3 * Arg_0) + max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * max(3, 3 * Arg_0)) + max(nat(6 * Arg_1) * nat(8 * Arg_2) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(8 * Arg_2), nat(6 * Arg_1) * nat(8 * Arg_2) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(8 * Arg_2)) + max(2 * max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(7 * Arg_2) + 2 * nat(6 * Arg_1) * nat(7 * Arg_2), 2 * nat(6 * Arg_1) * nat(7 * Arg_2) + 2 * max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(7 * Arg_2)) + max(12 + max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(Arg_0) + nat(6 * Arg_1) * nat(Arg_0), 12 + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(Arg_0) + nat(6 * Arg_1) * nat(Arg_0)) + max(1, 1 + 5 * Arg_0) + nat(2 + 2 * Arg_0) + max(1, 1 + 11 * Arg_0) + nat(5 * Arg_2) + max(4 * max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(Arg_0) + 4 * nat(6 * Arg_1) * nat(Arg_0), 4 * nat(6 * Arg_1) * nat(Arg_0) + 4 * max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(Arg_0)) + nat(24 * Arg_0) + max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) + nat(4 * Arg_0) + nat(Arg_2)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 77.4 s] (2) BOUNDS(1, nat(6 * Arg_1) + max(nat(6 * Arg_1) * max(3, 3 * Arg_0) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * max(3, 3 * Arg_0), nat(6 * Arg_1) * max(3, 3 * Arg_0) + max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * max(3, 3 * Arg_0)) + max(nat(6 * Arg_1) * nat(8 * Arg_2) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(8 * Arg_2), nat(6 * Arg_1) * nat(8 * Arg_2) + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(8 * Arg_2)) + max(2 * max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(7 * Arg_2) + 2 * nat(6 * Arg_1) * nat(7 * Arg_2), 2 * nat(6 * Arg_1) * nat(7 * Arg_2) + 2 * max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(7 * Arg_2)) + max(12 + max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(Arg_0) + nat(6 * Arg_1) * nat(Arg_0), 12 + max(min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(Arg_0) + nat(6 * Arg_1) * nat(Arg_0)) + max(1, 1 + 5 * Arg_0) + nat(2 + 2 * Arg_0) + max(1, 1 + 11 * Arg_0) + nat(5 * Arg_2) + max(4 * max(min(36 * Arg_0 * Arg_1, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), 36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) * nat(Arg_0) + 4 * nat(6 * Arg_1) * nat(Arg_0), 4 * nat(6 * Arg_1) * nat(Arg_0) + 4 * max(min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0)), min(max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), max(36 * Arg_0 * Arg_1, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0))), 0) * nat(Arg_0)) + nat(24 * Arg_0) + max(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0, min(36 * Arg_0 * Arg_1, 36 * Arg_1 * Arg_0), 0) + nat(4 * Arg_0) + nat(Arg_2)) (3) Loat Proof [FINISHED, 4772 ms] (4) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_nestedLoop_start(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_bb0_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_0(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_1(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_2(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_3(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, 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 eval_nestedLoop_3(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_n eval_nestedLoop_3(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_m eval_nestedLoop_3(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: 0 > v_N eval_nestedLoop_bb1_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, 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 eval_nestedLoop_bb1_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, 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 eval_nestedLoop_bb2_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_4(v_11, v_14, v_4, v_7, 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_11, v_14, nondef_0, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_5(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge3_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_0, 0, v_k_0, v_m, v_n)) :|: v_4 > 0 eval_nestedLoop_5(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_4 <= 0 eval_nestedLoop__critedge3_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, 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 eval_nestedLoop__critedge3_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge2_in(v_11, v_14, v_4, v_7, 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 eval_nestedLoop_bb3_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_6(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, nondef_1, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_7(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_7 > 0 eval_nestedLoop_7(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge2_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_7 <= 0 eval_nestedLoop_bb4_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_j_0 + 1, v_N, v_i_0, v_i_1, v_j_0, v_i_1, v_m, v_n)) :|: TRUE eval_nestedLoop_bb5_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_k_0 < v_N eval_nestedLoop_bb5_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge3_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_k_0, v_9, v_k_0, v_m, v_n)) :|: v_k_0 >= v_N eval_nestedLoop_bb6_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_10(v_11, v_14, v_4, v_7, 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_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_11(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: v_11 > 0 eval_nestedLoop_11(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n) -> Com_1(eval_nestedLoop__critedge3_in(v_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_k_0, v_9, v_k_0, v_m, v_n)) :|: v_11 <= 0 eval_nestedLoop_bb7_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0 + 1, v_m, v_n)) :|: TRUE eval_nestedLoop__critedge2_in(v_11, v_14, v_4, v_7, 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_11, v_i_1 + 1, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_15(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop_16(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_14, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE eval_nestedLoop__critedge_in(v_11, v_14, v_4, v_7, 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_11, v_14, v_4, v_7, v_9, v_N, v_i_0, v_i_1, v_j_0, v_k_0, v_m, v_n)) :|: TRUE The start-symbols are:[eval_nestedLoop_start_12] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, 12+2*2*max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, Arg_0]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([0, Arg_0]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, Arg_0])])])+max([0, 6*Arg_0])+max([0, 6*Arg_1])+max([0, 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_0])+max([0, 4*Arg_0])+max([0, Arg_2])+max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([3, 3*Arg_0]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([3, 3*Arg_0]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([3, 3*Arg_0])])])+max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 8*Arg_2]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([0, 8*Arg_2]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 8*Arg_2])])])+max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2])])])+max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, 7*Arg_2])])])+max([0, 6*Arg_0])+max([(max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, Arg_0]), max([(max([0, max([min([-(-6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])])), -(-6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))]))]), min([-(-6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)])), -(-6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]))])])])+max([0, 6*Arg_1]))*max([0, Arg_0]), (max([0, max([6*max([min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)]), 6*-(Arg_0)*-(Arg_1)]), max([6*max([6*-(Arg_0)*-(Arg_1), max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0])]), max([6*min([-(-6*-(Arg_0)*-(Arg_1)), min([-(-6*-(Arg_0)*-(Arg_1)), -(-6*Arg_1*Arg_0)])]), 6*min([max([6*-(Arg_0)*-(Arg_1), 6*Arg_1*Arg_0]), -(-6*-(Arg_0)*-(Arg_1))])])])])])+max([0, 6*Arg_1]))*max([0, Arg_0])])])+max([1, 1+5*Arg_0])+max([0, 1+Arg_0])+max([1, 1+11*Arg_0])+max([0, 1+Arg_0])+max([0, 5*Arg_2]) {O(n^3)}) Initial Complexity Problem: Start: evalnestedLoopstart 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 Temp_Vars: M Locations: evalnestedLoop0, evalnestedLoop1, evalnestedLoop10, evalnestedLoop11, evalnestedLoop15, evalnestedLoop16, evalnestedLoop2, evalnestedLoop3, evalnestedLoop4, evalnestedLoop5, evalnestedLoop6, evalnestedLoop7, evalnestedLoopbb0in, evalnestedLoopbb1in, evalnestedLoopbb2in, evalnestedLoopbb3in, evalnestedLoopbb4in, evalnestedLoopbb5in, evalnestedLoopbb6in, evalnestedLoopbb7in, evalnestedLoopcritedge2in, evalnestedLoopcritedge3in, evalnestedLoopcritedgein, evalnestedLoopstart, evalnestedLoopstop Transitions: 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):|: 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):|: 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):|:1+Arg_9 <= Arg_2 && 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 && 1 <= 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 && 2 <= 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 && 2 <= 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 && 1 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 1+Arg_5 <= Arg_2 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 1 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 2 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_2 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 1 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 1 <= Arg_2 && 2 <= Arg_1+Arg_2 && 2 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 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) -> 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):|:1+Arg_9 <= Arg_2 && 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 && 1 <= 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 && 2 <= 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 && 2 <= 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 && 1 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 1+Arg_5 <= Arg_2 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 1 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 2 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_2 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 1 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 1 <= Arg_2 && 2 <= Arg_1+Arg_2 && 2 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 && 1 <= Arg_10 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) -> evalnestedLoopcritedge3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_9,Arg_8,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:1+Arg_9 <= Arg_2 && 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 && 1 <= 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 && 2 <= 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 && 2 <= 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 && 1 <= Arg_2+Arg_6 && 1 <= Arg_1+Arg_6 && 1 <= Arg_0+Arg_6 && 1+Arg_5 <= Arg_2 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && Arg_3 <= Arg_5 && 1 <= Arg_2+Arg_5 && 1 <= Arg_1+Arg_5 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 2 <= Arg_2+Arg_4 && 2 <= Arg_1+Arg_4 && 2 <= Arg_0+Arg_4 && 1+Arg_3 <= Arg_2 && 1+Arg_3 <= Arg_0 && 0 <= Arg_3 && 1 <= Arg_2+Arg_3 && 1 <= Arg_1+Arg_3 && 1 <= Arg_0+Arg_3 && 1 <= Arg_2 && 2 <= Arg_1+Arg_2 && 2 <= Arg_0+Arg_2 && 1 <= Arg_1 && 2 <= Arg_0+Arg_1 && 1 <= Arg_0 && Arg_10 <= 0 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):|: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 && 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 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_11+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 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_11+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_11 && 2 <= Arg_0+Arg_11 && 1 <= Arg_0 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):|: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 && 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 && 1 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 2 <= Arg_11+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 && 1 <= Arg_0+Arg_3 && 0 <= Arg_2 && 1 <= Arg_11+Arg_2 && 1 <= Arg_0+Arg_2 && 1 <= Arg_11 && 2 <= Arg_0+Arg_11 && 1 <= Arg_0 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):|: 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 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) -> evalnestedLoopcritedgein(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
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