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Compl C Integ Progr 85445 pair #381746372
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
n089.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
8.59778094292 seconds
cpu usage
10.088744309
max memory
4.66280448E8
stage attributes
key
value
output-size
525426
starexec-result
WORST_CASE(?, O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 7314 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[eval_foo_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 602*ar_3 + 602*ar_5 + 612*ar_1 + 612*ar_4 + 750) Initial complexity problem: 1: T: (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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))
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