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Complexity_C_Integer 2019-03-21 04.38 pair #429988840
details
property
value
status
complete
benchmark
t62.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n166.star.cs.uiowa.edu
space
C4B_examples
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.7983 seconds
cpu usage
5.10934
user time
4.74526
system time
0.364074
max virtual memory
1.8593872E7
max residence set size
235528.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
4.99/3.74 WORST_CASE(?, O(n^1)) 4.99/3.75 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.99/3.75 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.99/3.75 4.99/3.75 4.99/3.75 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 4.99/3.75 4.99/3.75 (0) CpxIntTrs 4.99/3.75 (1) Koat Proof [FINISHED, 2493 ms] 4.99/3.75 (2) BOUNDS(1, n^1) 4.99/3.75 4.99/3.75 4.99/3.75 ---------------------------------------- 4.99/3.75 4.99/3.75 (0) 4.99/3.75 Obligation: 4.99/3.75 Complexity Int TRS consisting of the following rules: 4.99/3.75 eval_t62_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l >= v_h 4.99/3.75 eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb1_in(v_l, v_h, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l < v_h 4.99/3.75 eval_t62_bb1_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb2_in(v_.0, v_.01, v_.0, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_bb2_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.1 + 1, v_3, v_5, v_7, v_h, v_l)) :|: v_.1 + 1 < v_.01 4.99/3.75 eval_t62_bb2_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.01, v_.1 + 1, v_3, v_5, v_7, v_h, v_l)) :|: v_.1 + 1 >= v_.01 4.99/3.75 eval_t62_bb3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_2(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_2(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l), eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, nondef.0, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb2_in(v_.0, v_.01, v_1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 > 0 4.99/3.75 eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.01, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 <= 0 4.99/3.75 eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb4_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_.12 - 1, v_7, v_h, v_l)) :|: v_1 < v_.12 - 1 4.99/3.75 eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_.12 - 1, v_7, v_h, v_l)) :|: v_1 >= v_.12 - 1 4.99/3.75 eval_t62_bb4_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_6(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_6(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l), eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, nondef.1, v_h, v_l)) :|: TRUE 4.99/3.75 eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_5, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 > 0 4.99/3.75 eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 <= 0 4.99/3.75 eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 >= v_5 4.99/3.75 eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb1_in(v_1, v_5, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 < v_5 4.99/3.75 eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_stop(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 4.99/3.75 4.99/3.75 The start-symbols are:[eval_t62_start_10] 4.99/3.75 4.99/3.75 4.99/3.75 ---------------------------------------- 4.99/3.75 4.99/3.75 (1) Koat Proof (FINISHED) 4.99/3.75 YES(?, 144*ar_0 + 144*ar_1 + 43) 4.99/3.75 4.99/3.75 4.99/3.75 4.99/3.75 Initial complexity problem: 4.99/3.75 4.99/3.75 1: T: 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= ar_1 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb1in(ar_0, ar_1, ar_0, ar_1, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_1 >= ar_0 + 1 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4 + 1, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= ar_4 + 2 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4 + 1, ar_3, ar_7, ar_8, ar_9, ar_10)) [ ar_4 + 1 >= ar_3 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt622(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt6220(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt6221(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_8, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt622(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalt6220(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10), evalt6221(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_7 >= 1 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_3, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_7 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_6 - 1, ar_10)) [ ar_6 >= ar_5 + 2 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_6 - 1, ar_10)) [ ar_5 + 1 >= ar_6 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt626(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt6260(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt6261(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_8)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt626(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalt6260(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10), evalt6261(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_9, ar_7, ar_8, ar_9, ar_10)) [ ar_10 >= 1 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_10 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_5 >= ar_9 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb1in(ar_0, ar_1, ar_5, ar_9, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_9 >= ar_5 + 1 ] 4.99/3.75 4.99/3.75 (Comp: ?, Cost: 1) evalt62bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 4.99/3.75 4.99/3.75 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 <= 0 ] 4.99/3.75 4.99/3.75 start location: koat_start
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