details

property	value
status	complete
benchmark	sipma91.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	4.05872 seconds
cpu usage	18.7122
user time	17.8932
system time	0.818951
max virtual memory	1.8896464E7
max residence set size	239912.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

output

9.28/3.99 WORST_CASE(Omega(n^1), O(n^1)) 9.28/4.01 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 9.28/4.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.28/4.01 9.28/4.01 9.28/4.01 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 9.28/4.01 9.28/4.01 (0) CpxIntTrs 9.28/4.01 (1) Koat Proof [FINISHED, 2329 ms] 9.28/4.01 (2) BOUNDS(1, n^1) 9.28/4.01 (3) Loat Proof [FINISHED, 728 ms] 9.28/4.01 (4) BOUNDS(n^1, INF) 9.28/4.01 9.28/4.01 9.28/4.01 ---------------------------------------- 9.28/4.01 9.28/4.01 (0) 9.28/4.01 Obligation: 9.28/4.01 Complexity Int TRS consisting of the following rules: 9.28/4.01 eval_sipma91_start(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb0_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_bb0_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_0(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_0(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_1(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_1(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_2(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_2(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_3(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_3(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_x > 100 9.28/4.01 eval_sipma91_3(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb1_in(v_5, v_6, v_x, v_x, v_y1_1, v_y1_2, 1, v_y2_1, v_y2_2)) :|: v_x <= 100 9.28/4.01 eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb2_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y1_0 <= 100 9.28/4.01 eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1_0, v_y1_0, v_y1_2, v_y2_0, v_y2_0, v_y2_2)) :|: v_y1_0 > 100 9.28/4.01 eval_sipma91_bb2_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1_0 + 11, v_y1_1, v_y1_2, v_y2_0 + 1, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y2_1 > 1 9.28/4.01 eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y2_1 <= 1 9.28/4.01 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1_0, v_y1_1 - 10, v_y1_2, v_y2_0, v_y2_1 - 1, v_y2_2)) :|: v_y1_1 - 10 > 100 && v_y2_1 - 1 >= 1 && v_y2_1 - 1 <= 1 9.28/4.01 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb5_in(v_y1_1 - 10, v_y2_1 - 1, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y1_1 - 10 <= 100 9.28/4.01 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb5_in(v_y1_1 - 10, v_y2_1 - 1, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y2_1 - 1 < 1 9.28/4.01 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb5_in(v_y1_1 - 10, v_y2_1 - 1, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_y2_1 - 1 > 1 9.28/4.01 eval_sipma91_bb5_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb6_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: v_5 > 100 9.28/4.01 eval_sipma91_bb5_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_5, v_y2_0, v_y2_1, v_6)) :|: v_5 <= 100 9.28/4.01 eval_sipma91_bb6_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_5 - 10, v_y2_0, v_y2_1, v_6 - 1)) :|: TRUE 9.28/4.01 eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1_0, v_y1_2 + 11, v_y1_2, v_y2_0, v_y2_2 + 1, v_y2_2)) :|: TRUE 9.28/4.01 eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2) -> Com_1(eval_sipma91_stop(v_5, v_6, v_x, v_y1_0, v_y1_1, v_y1_2, v_y2_0, v_y2_1, v_y2_2)) :|: TRUE 9.28/4.01 9.28/4.01 The start-symbols are:[eval_sipma91_start_9] 9.28/4.01 9.28/4.01 9.28/4.01 ---------------------------------------- 9.28/4.01 9.28/4.01 (1) Koat Proof (FINISHED) 9.28/4.01 YES(?, 4055*ar_0 + 414035) 9.28/4.01 9.28/4.01 9.28/4.01 9.28/4.01 Initial complexity problem: 9.28/4.01 9.28/4.01 1: T: 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma910(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma910(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma911(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma911(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma912(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma912(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma913(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma913(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_0 >= 101 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma913(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb1in(ar_0, ar_0, 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 100 >= ar_0 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 100 >= ar_1 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_1, ar_2, ar_5, ar_6, ar_7, ar_8)) [ ar_1 >= 101 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb1in(ar_0, ar_1 + 11, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_4 >= 2 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 1 >= ar_4 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3 - 10, ar_4 - 1, ar_5, ar_6, ar_7, ar_8)) [ ar_3 >= 111 /\ ar_4 = 2 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ 110 >= ar_3 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ 1 >= ar_4 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ ar_4 >= 3 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_5 >= 101 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5, ar_6)) [ 100 >= ar_5 ] 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5 - 10, ar_6 - 1)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_7 + 11, ar_8 + 1, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: ?, Cost: 1) evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 9.28/4.01 9.28/4.01 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 0 <= 0 ] 9.28/4.01 9.28/4.01 start location: koat_start popout

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all output return to Complexity_ITS 2019-03-21 04.46