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Complexity_C_Integer 2019-03-21 04.38 pair #429989216
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex1.04_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.57105 seconds
cpu usage
2.57645
user time
2.36128
system time
0.21517
max virtual memory
1.8425456E7
max residence set size
181660.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.51/1.53 WORST_CASE(?, O(n^1)) 2.51/1.54 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.51/1.54 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.51/1.54 2.51/1.54 2.51/1.54 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.51/1.54 2.51/1.54 (0) CpxIntTrs 2.51/1.54 (1) Koat Proof [FINISHED, 378 ms] 2.51/1.54 (2) BOUNDS(1, n^1) 2.51/1.54 2.51/1.54 2.51/1.54 ---------------------------------------- 2.51/1.54 2.51/1.54 (0) 2.51/1.54 Obligation: 2.51/1.54 Complexity Int TRS consisting of the following rules: 2.51/1.54 eval_foo_start(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_3, v_oldx, v_x)) :|: TRUE 2.51/1.54 eval_foo_bb0_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_bb1_in(v_x, v_oldx, v_3, v_oldx, v_x)) :|: TRUE 2.51/1.54 eval_foo_bb1_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_3, v_oldx, v_x)) :|: v_.0 > 1 && 2 * v_.0 <= v_.01 2.51/1.54 eval_foo_bb1_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_oldx, v_x)) :|: v_.0 <= 1 2.51/1.54 eval_foo_bb1_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_oldx, v_x)) :|: 2 * v_.0 > v_.01 2.51/1.54 eval_foo_bb2_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_2(v_.0, v_.01, v_3, v_oldx, v_x)) :|: TRUE 2.51/1.54 eval_foo_2(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_3, v_oldx, v_x), eval_foo_3(v_.0, v_.01, nondef.0, v_oldx, v_x)) :|: TRUE 2.51/1.54 eval_foo_3(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_bb1_in(v_3, v_.0, v_3, v_oldx, v_x)) :|: TRUE 2.51/1.54 eval_foo_.critedge_in(v_.0, v_.01, v_3, v_oldx, v_x) -> Com_1(eval_foo_stop(v_.0, v_.01, v_3, v_oldx, v_x)) :|: TRUE 2.51/1.54 2.51/1.54 The start-symbols are:[eval_foo_start_5] 2.51/1.54 2.51/1.54 2.51/1.54 ---------------------------------------- 2.51/1.54 2.51/1.54 (1) Koat Proof (FINISHED) 2.51/1.54 YES(?, 18*ar_3 + 8) 2.51/1.54 2.51/1.54 2.51/1.54 2.51/1.54 Initial complexity problem: 2.51/1.54 2.51/1.54 1: T: 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 /\ ar_2 >= 2*ar_0 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 2*ar_0 >= ar_2 + 1 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, g)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_0, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.51/1.54 2.51/1.54 start location: koat_start 2.51/1.54 2.51/1.54 leaf cost: 0 2.51/1.54 2.51/1.54 2.51/1.54 2.51/1.54 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.51/1.54 2.51/1.54 2: T: 2.51/1.54 2.51/1.54 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 /\ ar_2 >= 2*ar_0 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 2*ar_0 >= ar_2 + 1 ] 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, g)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_0, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.51/1.54 2.51/1.54 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.51/1.54 2.51/1.54 start location: koat_start
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