Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl Integ Trans Syste 26843 pair #381744597
details
property
value
status
complete
benchmark
random2d.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
4.74093008041 seconds
cpu usage
10.628417455
max memory
4.36809728E8
stage attributes
key
value
output-size
68420
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 429 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 3057 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_random2d_start(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb0_in(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_bb0_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_0(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_0(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_1(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_1(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_2(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_2(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_3(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_3(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_4(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_4(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_5(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_5(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_6(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_6(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_7(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_7(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_8(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_8(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_9(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_9(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_10(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_10(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, 0)) :|: TRUE eval_random2d_bb1_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb2_in(v_1, v_2, v_N, v_i_0)) :|: v_i_0 < v_N eval_random2d_bb1_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb8_in(v_1, v_2, v_N, v_i_0)) :|: v_i_0 >= v_N eval_random2d_bb2_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_12(v_i_0 + 1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_12(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_13(v_1, nondef_0, v_N, v_i_0)) :|: TRUE eval_random2d_13(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb3_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 0 && v_2 <= 3 eval_random2d_13(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: v_2 < 0 eval_random2d_13(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: v_2 > 3 eval_random2d_bb3_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i_0)) :|: TRUE eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 2 eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 2 eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 1 eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 1 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb4_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 0 && v_2 <= 0 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 0 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 > 0 eval_random2d_bb4_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb5_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 1 && v_2 <= 1 eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 1 eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 > 1 eval_random2d_bb5_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 3 eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 3 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb6_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 2 && v_2 <= 2 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 2 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 > 2 eval_random2d_bb6_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb7_in(v_1, v_2, v_N, v_i_0)) :|: v_2 >= 3 && v_2 <= 3 eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 < 3 eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0)) :|: v_2 > 3 eval_random2d_bb7_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE eval_random2d_bb8_in(v_1, v_2, v_N, v_i_0) -> Com_1(eval_random2d_stop(v_1, v_2, v_N, v_i_0)) :|: TRUE The start-symbols are:[eval_random2d_start_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 29*ar_1 + 17) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalrandom2dstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2dbb0in(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d0(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d0(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d1(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d2(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d3(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d3(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d4(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d4(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d5(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalrandom2d5(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom2d6(ar_0, ar_1, ar_2, ar_3))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl Integ Trans Syste 26843