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Complexity_ITS 2019-03-21 04.46 pair #429989994
details
property
value
status
complete
benchmark
Loopus2011_ex2.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n001.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.7 seconds
cpu usage
373.068
user time
367.398
system time
5.66986
max virtual memory
1.918044E7
max residence set size
537064.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), ?)
output
372.91/291.64 WORST_CASE(Omega(n^1), ?) 372.91/291.66 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 372.91/291.66 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 372.91/291.66 372.91/291.66 372.91/291.66 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 372.91/291.66 372.91/291.66 (0) CpxIntTrs 372.91/291.66 (1) Loat Proof [FINISHED, 35.7 s] 372.91/291.66 (2) BOUNDS(n^1, INF) 372.91/291.66 372.91/291.66 372.91/291.66 ---------------------------------------- 372.91/291.66 372.91/291.66 (0) 372.91/291.66 Obligation: 372.91/291.66 Complexity Int TRS consisting of the following rules: 372.91/291.66 eval_bin_search_StepSize2_start(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb0_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_bb0_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_0(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_0(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_1(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_1(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_2(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_2(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_3(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_3(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_4(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_4(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_5(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_5(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_6(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_6(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_7(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_7(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_8(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_8(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_9(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_9(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_10(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_10(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_11(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_11(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_12(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_12(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_13(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_13(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_14(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_14(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_15(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_15(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb1_in(v_s, v_0, 4, v_c_1, v_c_2, v_c_3, 0, 0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_bb1_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_16(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_16(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_17(v__0, nondef_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 eval_bin_search_StepSize2_17(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb12_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 >= 1 && v_c_0 <= 1 372.91/291.66 eval_bin_search_StepSize2_17(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb2_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 < 1 372.91/291.66 eval_bin_search_StepSize2_17(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb2_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 > 1 372.91/291.66 eval_bin_search_StepSize2_bb2_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb3_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_f_0 < 0 372.91/291.66 eval_bin_search_StepSize2_bb2_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb3_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_f_0 > 0 372.91/291.66 eval_bin_search_StepSize2_bb2_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, v_c_0, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_f_0 >= 0 && v_f_0 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb3_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, nondef_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 >= 0 && v_c_0 <= 0 && nondef_1 >= 0 && nondef_1 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb3_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, nondef_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 > 0 && nondef_1 >= 0 && v_c_0 - 2 * nondef_1 >= 0 && v_c_0 - 2 * nondef_1 < 2 372.91/291.66 eval_bin_search_StepSize2_bb3_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, nondef_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_c_0 < 0 && nondef_1 <= 0 && -(v_c_0) + 2 * nondef_1 >= 0 && -(v_c_0) + 2 * nondef_1 < 2 372.91/291.66 eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_0 > v_r 372.91/291.66 eval_bin_search_StepSize2_bb4_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb8_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_0 <= v_r 372.91/291.66 eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_1, v_c_3, v_d_0, v_f_0, v_f_0, v_f_2, v_r, v_s)) :|: v_d_0 < 1 372.91/291.66 eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_1, v_c_3, v_d_0, v_f_0, v_f_0, v_f_2, v_r, v_s)) :|: v_d_0 > 1 372.91/291.66 eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_1, v_c_3, v_d_0, v_f_0, v_f_0, v_f_2, v_r, v_s)) :|: v_f_0 < 0 372.91/291.66 eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_1, v_c_3, v_d_0, v_f_0, v_f_0, v_f_2, v_r, v_s)) :|: v_f_0 > 0 372.91/291.66 eval_bin_search_StepSize2_bb5_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb6_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_d_0 >= 1 && v_d_0 <= 1 && v_f_0 >= 0 && v_f_0 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb6_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, nondef_2, v_c_3, v_d_0, v_f_0, 1, v_f_2, v_r, v_s)) :|: v_c_1 >= 0 && v_c_1 <= 0 && nondef_2 >= 0 && nondef_2 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb6_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, nondef_2, v_c_3, v_d_0, v_f_0, 1, v_f_2, v_r, v_s)) :|: v_c_1 > 0 && nondef_2 >= 0 && v_c_1 - 2 * nondef_2 >= 0 && v_c_1 - 2 * nondef_2 < 2 372.91/291.66 eval_bin_search_StepSize2_bb6_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, nondef_2, v_c_3, v_d_0, v_f_0, 1, v_f_2, v_r, v_s)) :|: v_c_1 < 0 && nondef_2 <= 0 && -(v_c_1) + 2 * nondef_2 >= 0 && -(v_c_1) + 2 * nondef_2 < 2 372.91/291.66 eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb12_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v__0 + v_c_2 > 255 372.91/291.66 eval_bin_search_StepSize2_bb7_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb1_in(v__0 + v_c_2, v_0, v_c_2, v_c_1, v_c_2, v_c_3, 2, v_f_1, v_f_1, v_f_2, v_r, v_s)) :|: v__0 + v_c_2 <= 255 372.91/291.66 eval_bin_search_StepSize2_bb8_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_0 < v_r 372.91/291.66 eval_bin_search_StepSize2_bb8_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb12_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_0 >= v_r 372.91/291.66 eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_1, v_d_0, v_f_0, v_f_1, v_f_0, v_r, v_s)) :|: v_d_0 < 2 372.91/291.66 eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_1, v_d_0, v_f_0, v_f_1, v_f_0, v_r, v_s)) :|: v_d_0 > 2 372.91/291.66 eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_1, v_d_0, v_f_0, v_f_1, v_f_0, v_r, v_s)) :|: v_f_0 < 0 372.91/291.66 eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_1, v_d_0, v_f_0, v_f_1, v_f_0, v_r, v_s)) :|: v_f_0 > 0 372.91/291.66 eval_bin_search_StepSize2_bb9_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb10_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v_d_0 >= 2 && v_d_0 <= 2 && v_f_0 >= 0 && v_f_0 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb10_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, nondef_3, v_d_0, v_f_0, v_f_1, 1, v_r, v_s)) :|: v_c_1 >= 0 && v_c_1 <= 0 && nondef_3 >= 0 && nondef_3 <= 0 372.91/291.66 eval_bin_search_StepSize2_bb10_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, nondef_3, v_d_0, v_f_0, v_f_1, 1, v_r, v_s)) :|: v_c_1 > 0 && nondef_3 >= 0 && v_c_1 - 2 * nondef_3 >= 0 && v_c_1 - 2 * nondef_3 < 2 372.91/291.66 eval_bin_search_StepSize2_bb10_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, nondef_3, v_d_0, v_f_0, v_f_1, 1, v_r, v_s)) :|: v_c_1 < 0 && nondef_3 <= 0 && -(v_c_1) + 2 * nondef_3 >= 0 && -(v_c_1) + 2 * nondef_3 < 2 372.91/291.66 eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb12_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: v__0 - v_c_3 < 0 372.91/291.66 eval_bin_search_StepSize2_bb11_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_bb1_in(v__0 - v_c_3, v_0, v_c_3, v_c_1, v_c_2, v_c_3, 1, v_f_2, v_f_1, v_f_2, v_r, v_s)) :|: v__0 - v_c_3 >= 0 372.91/291.66 eval_bin_search_StepSize2_bb12_in(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s) -> Com_1(eval_bin_search_StepSize2_stop(v__0, v_0, v_c_0, v_c_1, v_c_2, v_c_3, v_d_0, v_f_0, v_f_1, v_f_2, v_r, v_s)) :|: TRUE 372.91/291.66 372.91/291.66 The start-symbols are:[eval_bin_search_StepSize2_start_12] 372.91/291.66 372.91/291.66 372.91/291.66 ---------------------------------------- 372.91/291.66 372.91/291.66 (1) Loat Proof (FINISHED) 372.91/291.66 372.91/291.66 372.91/291.66 ### Pre-processing the ITS problem ### 372.91/291.66 372.91/291.66 372.91/291.66 372.91/291.66 Initial linear ITS problem 372.91/291.66 372.91/291.66 Start location: evalbinsearchStepSize2start 372.91/291.66 372.91/291.66 0: evalbinsearchStepSize2start -> evalbinsearchStepSize2bb0in : [], cost: 1 372.91/291.66 372.91/291.66 1: evalbinsearchStepSize2bb0in -> evalbinsearchStepSize20 : [], cost: 1 372.91/291.66 372.91/291.66 2: evalbinsearchStepSize20 -> evalbinsearchStepSize21 : [], cost: 1 372.91/291.66 372.91/291.66 3: evalbinsearchStepSize21 -> evalbinsearchStepSize22 : [], cost: 1 372.91/291.66 372.91/291.66 4: evalbinsearchStepSize22 -> evalbinsearchStepSize23 : [], cost: 1 372.91/291.66 372.91/291.66 5: evalbinsearchStepSize23 -> evalbinsearchStepSize24 : [], cost: 1 372.91/291.66
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return to Complexity_ITS 2019-03-21 04.46