details

property	value
status	complete
benchmark	Loopus2015_ex2.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n058.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.93643 seconds
cpu usage	7.46899
user time	7.08818
system time	0.380814
max virtual memory	1.8779864E7
max residence set size	239944.0

stage attributes

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

output

7.23/2.88 WORST_CASE(Omega(n^1), O(n^1)) 7.23/2.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.23/2.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.23/2.90 7.23/2.90 7.23/2.90 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 7.23/2.90 7.23/2.90 (0) CpxIntTrs 7.23/2.90 (1) Koat Proof [FINISHED, 1015 ms] 7.23/2.90 (2) BOUNDS(1, n^1) 7.23/2.90 (3) Loat Proof [FINISHED, 1217 ms] 7.23/2.90 (4) BOUNDS(n^1, INF) 7.23/2.90 7.23/2.90 7.23/2.90 ---------------------------------------- 7.23/2.90 7.23/2.90 (0) 7.23/2.90 Obligation: 7.23/2.90 Complexity Int TRS consisting of the following rules: 7.23/2.90 eval_foo_start(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb0_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb0_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_0(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_0(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_1(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_1(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_2(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_2(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_n >= 0 7.23/2.90 eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb11_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_n < 0 7.23/2.90 eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m1 >= 0 7.23/2.90 eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb10_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m1 < 0 7.23/2.90 eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb3_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m2 >= 0 7.23/2.90 eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb9_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m2 < 0 7.23/2.90 eval_foo_bb3_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_4(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_4(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_5(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_5(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_6(nondef_0, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_6(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_7(v_3, v_m1, v_m1, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_3 > 0 7.23/2.90 eval_foo_6(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_7(v_3, v_m1, v_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_3 <= 0 7.23/2.90 eval_foo_7(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_8(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_8(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_9(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_9(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_m1_m2, v_n, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb5_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_y_0 > 0 7.23/2.90 eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_x_1)) :|: v_y_0 <= 0 7.23/2.90 eval_foo_bb5_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1 + 2, v_y_0 - 1, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb7_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_z_0 > 0 7.23/2.90 eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb8_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_z_0 <= 0 7.23/2.90 eval_foo_bb7_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0 - 1)) :|: TRUE 7.23/2.90 eval_foo_bb8_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb9_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_15(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_15(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_16(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_16(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb10_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_17(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_17(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_18(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_18(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_bb11_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_19(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_19(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_20(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 eval_foo_20(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE 7.23/2.90 7.23/2.90 The start-symbols are:[eval_foo_start_8] 7.23/2.90 7.23/2.90 7.23/2.90 ---------------------------------------- 7.23/2.90 7.23/2.90 (1) Koat Proof (FINISHED) 7.23/2.90 YES(?, 34*ar_0 + 30*ar_1 + 30*ar_2 + 3044) 7.23/2.90 7.23/2.90 7.23/2.90 7.23/2.90 Initial complexity problem: 7.23/2.90 7.23/2.90 1: T: 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 0 ] 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 + 1 ] 7.23/2.90 7.23/2.90 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 >= 0 ] 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_1 + 1 ] 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 ] 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_2 + 1 ] 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoo5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, i, ar_4, ar_5, ar_6, ar_7)) 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_1, ar_5, ar_6, ar_7)) [ ar_3 >= 1 ] 7.42/2.90 7.42/2.90 (Comp: ?, Cost: 1) evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5, ar_6, ar_7)) [ 0 >= ar_3 ] popout

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all output return to Complexity_ITS 2019-03-21 04.46