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Compl C Integ Progr 85445 pair #381745653
details
property
value
status
complete
benchmark
McCarthy91_Iteration_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
Adapted_from_Ton_Chanh_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.44800209999 seconds
cpu usage
2.481359645
max memory
2.48152064E8
stage attributes
key
value
output-size
15722
starexec-result
WORST_CASE(?, O(n^2))
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^2)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 266 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_foo_start(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_c, v_n)) :|: TRUE eval_foo_bb0_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb1_in(1, v_n, v_c, v_n)) :|: TRUE eval_foo_bb1_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_c, v_n)) :|: v_.0 > 0 eval_foo_bb1_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_c, v_n)) :|: v_.0 <= 0 eval_foo_bb2_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_c, v_n)) :|: v_.01 > 100 eval_foo_bb2_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_c, v_n)) :|: v_.01 <= 100 eval_foo_bb3_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01 - 10, v_c, v_n)) :|: TRUE eval_foo_bb4_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01 + 11, v_c, v_n)) :|: TRUE eval_foo_bb5_in(v_.0, v_.01, v_c, v_n) -> Com_1(eval_foo_stop(v_.0, v_.01, v_c, v_n)) :|: TRUE The start-symbols are:[eval_foo_start_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 18256*ar_2 + 36*ar_2^2 + 1476635) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(1, ar_2, ar_2)) (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ ar_1 >= 101 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2)) [ 100 >= ar_1 ] (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1 - 10, ar_2)) (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0 + 1, ar_1 + 11, ar_2)) (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2) -> Com_1(evalfoostop(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalfoostart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(1, ar_2, ar_2)) (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ ar_1 >= 101 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2)) [ 100 >= ar_1 ] (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1 - 10, ar_2)) (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0 + 1, ar_1 + 11, ar_2)) (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2) -> Com_1(evalfoostop(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalfoostart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] start location: koat_start leaf cost: 0
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