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Complexity_C_Integer 2019-03-21 04.38 pair #429989664
details
property
value
status
complete
benchmark
random1d.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n044.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.54859 seconds
cpu usage
2.66428
user time
2.45515
system time
0.209133
max virtual memory
1.833918E7
max residence set size
184836.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.61/1.51 WORST_CASE(?, O(n^1)) 2.61/1.52 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.61/1.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.61/1.52 2.61/1.52 2.61/1.52 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.61/1.52 2.61/1.52 (0) CpxIntTrs 2.61/1.52 (1) Koat Proof [FINISHED, 279 ms] 2.61/1.52 (2) BOUNDS(1, n^1) 2.61/1.52 2.61/1.52 2.61/1.52 ---------------------------------------- 2.61/1.52 2.61/1.52 (0) 2.61/1.52 Obligation: 2.61/1.52 Complexity Int TRS consisting of the following rules: 2.61/1.52 eval_random1d_start(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb0_in(v_2, v_max, v_x.0)) :|: TRUE 2.61/1.52 eval_random1d_bb0_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb1_in(v_2, v_max, 1)) :|: v_max > 0 2.61/1.52 eval_random1d_bb0_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb3_in(v_2, v_max, v_x.0)) :|: v_max <= 0 2.61/1.52 eval_random1d_bb1_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb2_in(v_2, v_max, v_x.0)) :|: v_x.0 <= v_max 2.61/1.52 eval_random1d_bb1_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb3_in(v_2, v_max, v_x.0)) :|: v_x.0 > v_max 2.61/1.52 eval_random1d_bb2_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_0(v_2, v_max, v_x.0)) :|: TRUE 2.61/1.52 eval_random1d_0(v_2, v_max, v_x.0) -> Com_2(eval_nondet_start(v_2, v_max, v_x.0), eval_random1d_1(nondef.0, v_max, v_x.0)) :|: TRUE 2.61/1.52 eval_random1d_1(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb1_in(v_2, v_max, v_x.0 + 1)) :|: v_2 > 0 2.61/1.52 eval_random1d_1(v_2, v_max, v_x.0) -> Com_1(eval_random1d_bb1_in(v_2, v_max, v_x.0 + 1)) :|: v_2 <= 0 2.61/1.52 eval_random1d_bb3_in(v_2, v_max, v_x.0) -> Com_1(eval_random1d_stop(v_2, v_max, v_x.0)) :|: TRUE 2.61/1.52 2.61/1.52 The start-symbols are:[eval_random1d_start_3] 2.61/1.52 2.61/1.52 2.61/1.52 ---------------------------------------- 2.61/1.52 2.61/1.52 (1) Koat Proof (FINISHED) 2.61/1.52 YES(?, 42*ar_0 + 91) 2.61/1.52 2.61/1.52 2.61/1.52 2.61/1.52 Initial complexity problem: 2.61/1.52 2.61/1.52 1: T: 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb3in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 + 1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1d0(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d00(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d01(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1d1(ar_0, ar_1, ar_3, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d0(ar_0, ar_1, ar_2, ar_3) -> Com_2(evalrandom1d00(ar_0, ar_1, ar_2, e), evalrandom1d01(ar_0, ar_1, ar_2, e)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_2 >= 1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 0 >= ar_2 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dstop(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ] 2.61/1.52 2.61/1.52 start location: koat_start 2.61/1.52 2.61/1.52 leaf cost: 0 2.61/1.52 2.61/1.52 2.61/1.52 2.61/1.52 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.61/1.52 2.61/1.52 2: T: 2.61/1.52 2.61/1.52 (Comp: 1, Cost: 1) evalrandom1dstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: 1, Cost: 1) evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 1 ] 2.61/1.52 2.61/1.52 (Comp: 1, Cost: 1) evalrandom1dbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb3in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 + 1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1dbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1d0(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d00(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d01(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1d1(ar_0, ar_1, ar_3, ar_3)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d0(ar_0, ar_1, ar_2, ar_3) -> Com_2(evalrandom1d00(ar_0, ar_1, ar_2, e), evalrandom1d01(ar_0, ar_1, ar_2, e)) 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_2 >= 1 ] 2.61/1.52 2.61/1.52 (Comp: ?, Cost: 1) evalrandom1d1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrandom1dbb1in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 0 >= ar_2 ] 2.61/1.52
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return to Complexity_C_Integer 2019-03-21 04.38