details

property	value
status	complete
benchmark	CPU2006_XNU.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	5.97451090813 seconds
cpu usage	7.425955793
max memory	5.03738368E8

stage attributes

key	value
output-size	127449
starexec-result	WORST_CASE(?, O(n^1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 4611 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_xnu_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb0_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_bb0_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, 0, 0, v_end.1, 0, v_k.0, v_len)) :|: TRUE eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb2_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 < v_len eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb6_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 >= v_len eval_xnu_bb2_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_1(v_i.0 + 1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_1(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_xnu_2(v_1, nondef.0, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_1, v_i.0, v_k.0, v_len)) :|: v_2 < 0 eval_xnu_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_1, v_i.0, v_k.0, v_len)) :|: v_2 > 0 eval_xnu_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.0, v_i.0, v_k.0, v_len)) :|: v_2 >= 0 && v_2 <= 0 eval_xnu_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_xnu_4(v_1, v_2, nondef.1, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_beg.0, v_len)) :|: v_4 < 0 eval_xnu_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_beg.0, v_len)) :|: v_4 > 0 eval_xnu_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb5_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_4 >= 0 && v_4 <= 0 eval_xnu_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb4_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_k.0 < v_end.1 eval_xnu_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_k.0 >= v_end.1 eval_xnu_bb4_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0 + 1, v_len)) :|: TRUE eval_xnu_bb5_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_7(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_7(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_xnu_8(v_1, v_2, v_4, nondef.2, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 && v_8 > 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 > 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 && v_8 >= 0 && v_8 <= 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 > 0 && v_8 >= 0 && v_8 <= 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 && v_8 < 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_1, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 && v_8 > 0 eval_xnu_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 eval_xnu_bb6_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_xnu_stop(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE The start-symbols are:[eval_xnu_start_10] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 408*ar_3 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalxnustart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnubb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb1in(0, 0, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnubb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalxnubb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_2 >= ar_3 ] (Comp: ?, Cost: 1) evalxnubb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu1(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalxnu10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10), evalxnu11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9, ar_10)) [ 0 >= ar_5 + 1 ] (Comp: ?, Cost: 1) evalxnu2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9, ar_10)) [ ar_5 >= 1 ] (Comp: ?, Cost: 1) evalxnu2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_1, ar_8, ar_9, ar_10)) [ ar_5 = 0 ] (Comp: ?, Cost: 1) evalxnu30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnu4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalxnu30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10), evalxnu31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalxnu4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_0, ar_10)) [ 0 >= ar_8 + 1 ] (Comp: ?, Cost: 1) evalxnu4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_0, ar_10)) [ ar_8 >= 1 ] (Comp: ?, Cost: 1) evalxnu4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_8 = 0 ] (Comp: ?, Cost: 1) evalxnubb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalxnubb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_7 >= ar_9 + 1 ] popout

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all output return to Compl C Integ Progr 85445