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Compl Integ Trans Syste 26843 pair #381744645
details
property
value
status
complete
benchmark
Loopus2015_original.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
31.4414298534 seconds
cpu usage
37.215937
max memory
4.52141056E8
stage attributes
key
value
output-size
22861
starexec-result
WORST_CASE(Omega(n^1), O(n^2))
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^1), O(n^2)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, max(11 + 2 * Arg_3, 11) + nat(3 * Arg_3) + max(2, 2 + Arg_3) + nat(21 * Arg_3) + nat(12 * Arg_3) + nat(1 + 7 * Arg_3) + nat(13 * Arg_3) + nat(4 * Arg_3^2) + nat(4 * Arg_3^2) * nat(Arg_3) + nat(Arg_3)^2 + 2 * nat(4 * Arg_3^2) * nat(Arg_3) + 2 * nat(Arg_3)^2 + nat(4 * Arg_3)). (0) CpxIntTrs (1) Loat Proof [FINISHED, 2220 ms] (2) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_xnu_start(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb0_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_bb0_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_0(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_0(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_1(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_1(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_2(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_2(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_3(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_3(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_4(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_4(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_5(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_5(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_6(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_6(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_7(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_7(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_8(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_8(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb1_in(v__end_0, v_1, v_2, v_4, v_7, 0, 0, 0, v_k_0, v_len)) :|: TRUE eval_xnu_bb1_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb2_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: v_i_0 < v_len eval_xnu_bb1_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb5_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: v_i_0 >= v_len eval_xnu_bb2_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_10(v__end_0, v_i_0 + 1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_10(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_11(v__end_0, v_1, nondef_0, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_11(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_12(v_1, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: v_2 > 0 eval_xnu_11(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_12(v_end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: v_2 <= 0 eval_xnu_12(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_13(v__end_0, v_1, v_2, nondef_1, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_13(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb3_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_beg_0, v_len)) :|: v_4 > 0 eval_xnu_13(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb1_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v__end_0, v_1, v_k_0, v_len)) :|: v_4 <= 0 eval_xnu_bb3_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb4_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: v_k_0 < v__end_0 eval_xnu_bb3_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb1_in(v__end_0, v_1, v_2, v_4, v_7, v_1, v_1, v_1, v_k_0, v_len)) :|: v_k_0 >= v__end_0 eval_xnu_bb4_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_15(v__end_0, v_1, v_2, v_4, v_k_0 + 1, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_15(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_16(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE eval_xnu_16(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_bb3_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_7, v_len)) :|: TRUE eval_xnu_bb5_in(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len) -> Com_1(eval_xnu_stop(v__end_0, v_1, v_2, v_4, v_7, v_beg_0, v_end_0, v_i_0, v_k_0, v_len)) :|: TRUE The start-symbols are:[eval_xnu_start_10] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: evalxnustart 0: evalxnustart -> evalxnubb0in : [], cost: 1 1: evalxnubb0in -> evalxnu0 : [], cost: 1 2: evalxnu0 -> evalxnu1 : [], cost: 1 3: evalxnu1 -> evalxnu2 : [], cost: 1 4: evalxnu2 -> evalxnu3 : [], cost: 1 5: evalxnu3 -> evalxnu4 : [], cost: 1 6: evalxnu4 -> evalxnu5 : [], cost: 1 7: evalxnu5 -> evalxnu6 : [], cost: 1 8: evalxnu6 -> evalxnu7 : [], cost: 1 9: evalxnu7 -> evalxnu8 : [], cost: 1 10: evalxnu8 -> evalxnubb1in : A'=0, B'=0, C'=0, [], cost: 1 11: evalxnubb1in -> evalxnubb2in : [ D>=1+C ], cost: 1 12: evalxnubb1in -> evalxnubb5in : [ C>=D ], cost: 1 13: evalxnubb2in -> evalxnu10 : E'=1+C, [], cost: 1 14: evalxnu10 -> evalxnu11 : F'=free, [], cost: 1 15: evalxnu11 -> evalxnu12 : G'=E, [ F>=1 ], cost: 1 16: evalxnu11 -> evalxnu12 : G'=B, [ 0>=F ], cost: 1
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