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Complexity_C_Integer 2019-03-21 04.38 pair #429988846
details
property
value
status
complete
benchmark
t28.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
C4B_examples
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.62591 seconds
cpu usage
2.50221
user time
2.28812
system time
0.214091
max virtual memory
1.8273644E7
max residence set size
181392.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.17/1.59 WORST_CASE(?, O(n^1)) 2.17/1.60 proof of /export/starexec/sandbox2/output/output_files/bench.koat 2.17/1.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.17/1.60 2.17/1.60 2.17/1.60 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.17/1.60 2.17/1.60 (0) CpxIntTrs 2.17/1.60 (1) Koat Proof [FINISHED, 278 ms] 2.17/1.60 (2) BOUNDS(1, n^1) 2.17/1.60 2.17/1.60 2.17/1.60 ---------------------------------------- 2.17/1.60 2.17/1.60 (0) 2.17/1.60 Obligation: 2.17/1.60 Complexity Int TRS consisting of the following rules: 2.17/1.60 eval_t28_start(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb0_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: TRUE 2.17/1.60 eval_t28_bb0_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb1_in(v_x, v_y, v_.1, v_.12, v_x, v_y)) :|: TRUE 2.17/1.60 eval_t28_bb1_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb2_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: v_.0 > v_.01 2.17/1.60 eval_t28_bb1_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb3_in(v_.0, v_.01, v_.1, v_.01, v_x, v_y)) :|: v_.0 <= v_.01 2.17/1.60 eval_t28_bb2_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb1_in(v_.0 + 999, v_.01 + 1000, v_.1, v_.12, v_x, v_y)) :|: TRUE 2.17/1.60 eval_t28_bb3_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb4_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: v_.12 > 0 2.17/1.60 eval_t28_bb3_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb5_in(v_.0, v_.01, v_.0, v_.12, v_x, v_y)) :|: v_.12 <= 0 2.17/1.60 eval_t28_bb4_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb3_in(v_.0, v_.01, v_.1, v_.12 - 1, v_x, v_y)) :|: TRUE 2.17/1.60 eval_t28_bb5_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb6_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: v_.1 < 0 2.17/1.60 eval_t28_bb5_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb7_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: v_.1 >= 0 2.17/1.60 eval_t28_bb6_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_bb5_in(v_.0, v_.01, v_.1 + 1, v_.12, v_x, v_y)) :|: TRUE 2.17/1.60 eval_t28_bb7_in(v_.0, v_.01, v_.1, v_.12, v_x, v_y) -> Com_1(eval_t28_stop(v_.0, v_.01, v_.1, v_.12, v_x, v_y)) :|: TRUE 2.17/1.60 2.17/1.60 The start-symbols are:[eval_t28_start_6] 2.17/1.60 2.17/1.60 2.17/1.60 ---------------------------------------- 2.17/1.60 2.17/1.60 (1) Koat Proof (FINISHED) 2.17/1.60 YES(?, 8012*ar_1 + 8010*ar_3 + 18) 2.17/1.60 2.17/1.60 2.17/1.60 2.17/1.60 Initial complexity problem: 2.17/1.60 2.17/1.60 1: T: 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.17/1.60 2.17/1.60 start location: koat_start 2.17/1.60 2.17/1.60 leaf cost: 0 2.17/1.60 2.17/1.60 2.17/1.60 2.17/1.60 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.17/1.60 2.17/1.60 2: T: 2.17/1.60 2.17/1.60 (Comp: 1, Cost: 1) evalt28start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: 1, Cost: 1) evalt28bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 2.17/1.60 2.17/1.60 (Comp: ?, Cost: 1) evalt28bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt28bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ] 2.17/1.60
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