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Complexity_C_Integer 2019-03-21 04.38 pair #429989188
details
property
value
status
complete
benchmark
MinusUserDefined.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.44498 seconds
cpu usage
4.59258
user time
4.31173
system time
0.28085
max virtual memory
1.845864E7
max residence set size
187532.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
4.51/3.40 WORST_CASE(?, O(n^1)) 4.51/3.41 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.51/3.41 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.51/3.41 4.51/3.41 4.51/3.41 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 4.51/3.41 4.51/3.41 (0) CpxIntTrs 4.51/3.41 (1) Koat Proof [FINISHED, 2183 ms] 4.51/3.41 (2) BOUNDS(1, n^1) 4.51/3.41 4.51/3.41 4.51/3.41 ---------------------------------------- 4.51/3.41 4.51/3.41 (0) 4.51/3.41 Obligation: 4.51/3.41 Complexity Int TRS consisting of the following rules: 4.51/3.41 eval_foo_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.0 > 0 && v_.01 > 0 4.51/3.41 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.0, v_.01, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.0 <= 0 4.51/3.41 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.0, v_.01, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.01 <= 0 4.51/3.41 eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01 - 1, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.1 > 0 4.51/3.41 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.1 <= 0 4.51/3.41 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.1, v_.12 + 1, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.2 > 0 && v_.23 > 0 4.51/3.41 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.2, v_.23, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.2 <= 0 4.51/3.41 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.2, v_.23, v_.2, v_.23, v_res, v_x, v_y)) :|: v_.23 <= 0 4.51/3.41 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2 - 1, v_.23 - 1, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_res, v_x, v_y)) :|: TRUE 4.51/3.41 4.51/3.41 The start-symbols are:[eval_foo_start_9] 4.51/3.41 4.51/3.41 4.51/3.41 ---------------------------------------- 4.51/3.41 4.51/3.41 (1) Koat Proof (FINISHED) 4.51/3.41 YES(?, 16*ar_1 + 3*ar_3 + 26) 4.51/3.41 4.51/3.41 4.51/3.41 4.51/3.41 Initial complexity problem: 4.51/3.41 4.51/3.41 1: T: 4.51/3.41 4.51/3.41 (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)) 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 4.51/3.41 4.51/3.41 (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_0 >= 1 /\ ar_2 >= 1 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb1in(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_0, ar_2, ar_6, ar_7)) [ 0 >= ar_0 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb1in(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_0, ar_2, ar_6, ar_7)) [ 0 >= ar_2 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2 - 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_4, ar_5 + 1)) 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 /\ ar_7 >= 1 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb5in(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_6, ar_7, ar_6, ar_7)) [ 0 >= ar_6 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb5in(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_6, ar_7, ar_6, ar_7)) [ 0 >= ar_7 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7 - 1)) 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 4.51/3.41 4.51/3.41 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 4.51/3.41 4.51/3.41 start location: koat_start 4.51/3.41 4.51/3.41 leaf cost: 0 4.51/3.41 4.51/3.41 4.51/3.41 4.51/3.41 Repeatedly propagating knowledge in problem 1 produces the following problem: 4.51/3.41 4.51/3.41 2: T: 4.51/3.41 4.51/3.41 (Comp: 1, 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)) 4.51/3.41 4.51/3.41 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 4.51/3.41 4.51/3.41 (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_0 >= 1 /\ ar_2 >= 1 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb1in(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_0, ar_2, ar_6, ar_7)) [ 0 >= ar_0 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb1in(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_0, ar_2, ar_6, ar_7)) [ 0 >= ar_2 ] 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2 - 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 4.51/3.41 4.51/3.41 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 4.51/3.41
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