details

property	value
status	complete
benchmark	complex.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n002.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.56974 seconds
cpu usage	8.99921
user time	8.519
system time	0.480205
max virtual memory	1.8784156E7
max residence set size	237724.0

stage attributes

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

output

8.88/3.53 WORST_CASE(Omega(n^1), O(n^1)) 8.88/3.54 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 8.88/3.54 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.88/3.54 8.88/3.54 8.88/3.54 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 8.88/3.54 8.88/3.54 (0) CpxIntTrs 8.88/3.54 (1) Koat Proof [FINISHED, 1030 ms] 8.88/3.54 (2) BOUNDS(1, n^1) 8.88/3.54 (3) Loat Proof [FINISHED, 1817 ms] 8.88/3.54 (4) BOUNDS(n^1, INF) 8.88/3.54 8.88/3.54 8.88/3.54 ---------------------------------------- 8.88/3.54 8.88/3.54 (0) 8.88/3.54 Obligation: 8.88/3.54 Complexity Int TRS consisting of the following rules: 8.88/3.54 eval_complex_start(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb0_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_bb0_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_0(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_0(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_1(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_1(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_2(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_2(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_3(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_3(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_4(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_4(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_5(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_5(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_6(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_6(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_a, v_b, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_bb1_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__0, v__01, v_10, v_9, v_a, v_b)) :|: v__0 < 30 8.88/3.54 eval_complex_bb1_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb5_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__0 >= 30 8.88/3.54 eval_complex_bb2_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__12 < v__1 8.88/3.54 eval_complex_bb2_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb4_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__12 >= v__1 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 10, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 >= 10 && v__12 + 7 <= 12 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 < 10 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 > 12 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 10, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 >= 10 && v__12 + 2 <= 12 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 < 10 8.88/3.54 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 > 12 8.88/3.54 eval_complex_bb4_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_15(v__0, v__01, v__1, v__12, v_10, v__1 + 2, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_15(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_16(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_16(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_17(v__0, v__01, v__1, v__12, v__12 - 10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_17(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_18(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_18(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_9, v_10, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 eval_complex_bb5_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_stop(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE 8.88/3.54 8.88/3.54 The start-symbols are:[eval_complex_start_8] 8.88/3.54 8.88/3.54 8.88/3.54 ---------------------------------------- 8.88/3.54 8.88/3.54 (1) Koat Proof (FINISHED) 8.88/3.54 YES(?, 67*ar_1 + 6*ar_3 + 2167) 8.88/3.54 8.88/3.54 8.88/3.54 8.88/3.54 Initial complexity problem: 8.88/3.54 8.88/3.54 1: T: 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2, ar_6, ar_7)) [ 29 >= ar_0 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 30 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_5 + 1 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_4 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 /\ ar_5 >= 3 /\ 5 >= ar_5 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 /\ 2 >= ar_5 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 2, ar_6, ar_7)) [ 5 >= ar_5 /\ ar_5 >= 8 /\ 10 >= ar_5 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2, ar_6, ar_7)) [ 5 >= ar_5 /\ 7 >= ar_5 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2, ar_6, ar_7)) [ 5 >= ar_5 /\ ar_5 >= 11 ] 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex15(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_4 + 2, ar_7)) 8.88/3.54 8.88/3.54 (Comp: ?, Cost: 1) evalcomplex15(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex16(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) popout

output may be truncated. 'popout' for the full output.

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all output return to Complexity_ITS 2019-03-21 04.46