Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_C_Integer 2019-03-21 04.38 pair #429989382
details
property
value
status
complete
benchmark
ChawdharyCookGulwaniSagivYang-ESOP2008-aaron1_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
12.4458 seconds
cpu usage
10.4118
user time
9.56796
system time
0.843848
max virtual memory
1.8632524E7
max residence set size
304648.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
10.27/8.89 WORST_CASE(?, O(n^1)) 10.32/8.90 proof of /export/starexec/sandbox/output/output_files/bench.koat 10.32/8.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.32/8.90 10.32/8.90 10.32/8.90 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 10.32/8.90 10.32/8.90 (0) CpxIntTrs 10.32/8.90 (1) Koat Proof [FINISHED, 7631 ms] 10.32/8.90 (2) BOUNDS(1, n^1) 10.32/8.90 10.32/8.90 10.32/8.90 ---------------------------------------- 10.32/8.90 10.32/8.90 (0) 10.32/8.90 Obligation: 10.32/8.90 Complexity Int TRS consisting of the following rules: 10.32/8.90 eval_foo_start(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 eval_foo_bb0_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_i, v_j, v_9, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an >= v_.0 && v_bn >= v_.01 10.32/8.90 eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an < v_.0 10.32/8.90 eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn < v_.01 10.32/8.90 eval_foo_bb2_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an >= v_.0 && v_bn <= v_.01 10.32/8.90 eval_foo_bb2_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an < v_.0 10.32/8.90 eval_foo_bb2_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn > v_.01 10.32/8.90 eval_foo_bb3_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an <= v_.0 && v_bn >= v_.01 10.32/8.90 eval_foo_bb3_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb9_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an > v_.0 10.32/8.90 eval_foo_bb3_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb9_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn < v_.01 10.32/8.90 eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an >= v_.0 && v_bn >= v_.01 10.32/8.90 eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an < v_.0 10.32/8.90 eval_foo_.critedge_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn < v_.01 10.32/8.90 eval_foo_bb4_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_0(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 eval_foo_0(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j), eval_foo_1(v_.0, v_.01, nondef.0, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 < 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 < 0 && v_9 > 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 > 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 < 0 && v_9 >= 0 && v_9 <= 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 > 0 && v_9 >= 0 && v_9 <= 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 >= 0 && v_9 <= 0 && v_9 < 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 >= 0 && v_9 <= 0 && v_9 > 0 10.32/8.90 eval_foo_1(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_9 >= 0 && v_9 <= 0 10.32/8.90 eval_foo_bb5_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an >= v_.0 && v_bn <= v_.01 10.32/8.90 eval_foo_bb5_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an < v_.0 10.32/8.90 eval_foo_bb5_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn > v_.01 10.32/8.90 eval_foo_bb6_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 eval_foo_bb7_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an <= v_.0 10.32/8.90 eval_foo_bb7_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_an > v_.0 10.32/8.90 eval_foo_bb8_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn >= v_.01 10.32/8.90 eval_foo_bb8_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: v_bn < v_.01 10.32/8.90 eval_foo_bb9_in(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j) -> Com_1(eval_foo_stop(v_.0, v_.01, v_9, v_an, v_bn, v_i, v_j)) :|: TRUE 10.32/8.90 10.32/8.90 The start-symbols are:[eval_foo_start_7] 10.32/8.90 10.32/8.90 10.32/8.90 ---------------------------------------- 10.32/8.90 10.32/8.90 (1) Koat Proof (FINISHED) 10.32/8.90 YES(?, 602*ar_3 + 602*ar_5 + 612*ar_1 + 612*ar_4 + 750) 10.32/8.90 10.32/8.90 10.32/8.90 10.32/8.90 Initial complexity problem: 10.32/8.90 10.32/8.90 1: T: 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_0 /\ ar_5 >= ar_2 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_4 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_5 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_0 /\ ar_2 >= ar_5 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_4 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_2 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_4 /\ ar_5 >= ar_2 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_0 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_5 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_0 /\ ar_5 >= ar_2 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_4 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_5 + 1 ] 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoo00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoo01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) 10.32/8.90 10.32/8.90 (Comp: ?, Cost: 1) evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Complexity_C_Integer 2019-03-21 04.38