details

property	value
status	complete
benchmark	ColonSipma-TACAS2001-Fig1_true-termination.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n039.star.cs.uiowa.edu
space	Adapted_from_Stroeder_15

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	1.29639005661 seconds
cpu usage	2.279905904
max memory	1.9451904E8

stage attributes

key	value
output-size	9774
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).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, 86 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_foo_start(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp)) :|: TRUE eval_foo_bb0_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb1_in(v_k, v_i, v_j, v_i, v_j, v_k, v_tmp)) :|: TRUE eval_foo_bb1_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp)) :|: v_.01 <= 100 && v_.02 <= v_.0 eval_foo_bb1_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp)) :|: v_.01 > 100 eval_foo_bb1_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp)) :|: v_.02 > v_.0 eval_foo_bb2_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.02, v_.01 + 1, v_i, v_j, v_k, v_tmp)) :|: TRUE eval_foo_bb3_in(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.02, v_i, v_j, v_k, v_tmp)) :|: TRUE The start-symbols are:[eval_foo_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 2*ar_1 + 2*ar_3 + 2*ar_5 + 210) Initial complexity problem: 1: T: (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)) (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_5, ar_5)) (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)) [ 100 >= ar_2 /\ ar_0 >= ar_4 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= 101 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_4, ar_3, ar_2 + 1, ar_5)) (Comp: ?, Cost: 1) evalfoobb3in(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)) (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 ] 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, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (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_5, ar_5)) (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)) [ 100 >= ar_2 /\ ar_0 >= ar_4 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= 101 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_4, ar_3, ar_2 + 1, ar_5)) (Comp: ?, Cost: 1) evalfoobb3in(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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfoostart) = 2 Pol(evalfoobb0in) = 2 Pol(evalfoobb1in) = 2 popout

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actions

all output return to Compl C Integ Progr 85445