details

property	value
status	complete
benchmark	sipmamergesort.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n107.star.cs.uiowa.edu
space	WTC_V2

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	32.6306638718 seconds
cpu usage	34.866048246
max memory	7.74094848E8

stage attributes

key	value
output-size	10891
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). (0) CpxIntTrs ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_sipmamergesort_init_start(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb0_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb0_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, 1, v_q.1, v_q.3, v_r.1, v_r.3, 1)) :|: TRUE eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 < 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 < 0 && v_up.0 > 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 > 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 < 0 && v_up.0 >= 0 && v_up.0 <= 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 < 0 && v_up.0 > 0 && v_up.0 >= 0 && v_up.0 <= 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 > 0 && v_up.0 >= 0 && v_up.0 <= 0 eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_n, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_up.0 >= 0 && v_up.0 <= 0 eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, v_m.0 - 2 * v_p.0, v_i.5, v_m.0, v_n, v_p.0, v_p.0, v_q.3, v_p.0, v_r.3, v_up.0)) :|: v_m.0 >= v_p.0 && v_m.0 - v_p.0 >= v_p.0 eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, 0, v_i.5, v_m.0, v_n, v_p.0, v_p.0, v_q.3, v_m.0 - v_p.0, v_r.3, v_up.0)) :|: v_m.0 >= v_p.0 && v_m.0 - v_p.0 < v_p.0 eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, -(v_p.0), v_i.5, v_m.0, v_n, v_p.0, v_m.0, v_q.3, v_p.0, v_r.3, v_up.0)) :|: v_m.0 < v_p.0 && 0 >= v_p.0 eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, 0, v_i.5, v_m.0, v_n, v_p.0, v_m.0, v_q.3, 0, v_r.3, v_up.0)) :|: v_m.0 < v_p.0 && 0 < v_p.0 eval_sipmamergesort_init_bb3_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb4_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_q.1 > 0 && v_r.1 > 0 eval_sipmamergesort_init_bb3_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.1, v_up.0)) :|: v_q.1 <= 0 eval_sipmamergesort_init_bb3_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.1, v_up.0)) :|: v_r.1 <= 0 eval_sipmamergesort_init_bb4_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_12(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_12(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_2(eval_nondet_start(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0), eval_sipmamergesort_init_13(nondef.0, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_13(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb5_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_10 < 0 eval_sipmamergesort_init_13(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb5_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_10 > 0 eval_sipmamergesort_init_13(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb6_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_10 >= 0 && v_10 <= 0 eval_sipmamergesort_init_bb5_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1 - 1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb6_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1 - 1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb7_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb8_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_r.3 > 0 eval_sipmamergesort_init_bb7_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb9_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.1, v_r.1, v_r.3, v_up.0)) :|: v_r.3 <= 0 eval_sipmamergesort_init_bb8_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3 - 1, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb9_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb10_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_q.3 > 0 eval_sipmamergesort_init_bb9_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb11_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_q.3 <= 0 eval_sipmamergesort_init_bb10_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb9_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3 - 1, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb11_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_10, v_27, v_6, v_i.5, v_6, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_6 > 0 eval_sipmamergesort_init_bb11_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb12_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_6 <= 0 eval_sipmamergesort_init_bb12_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb1_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, 2 * v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, -(v_up.0) + 1)) :|: 2 * v_p.0 < v_n eval_sipmamergesort_init_bb12_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb13_in(v_10, -(v_up.0) + 1, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: 2 * v_p.0 >= v_n eval_sipmamergesort_init_bb13_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb14_in(v_10, v_27, v_6, 1, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_27 >= 0 && v_27 <= 0 eval_sipmamergesort_init_bb13_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_27 < 0 eval_sipmamergesort_init_bb13_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_27 > 0 eval_sipmamergesort_init_bb14_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb15_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_i.5 <= v_n eval_sipmamergesort_init_bb14_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: v_i.5 > v_n eval_sipmamergesort_init_bb15_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_bb14_in(v_10, v_27, v_6, v_i.5 + 1, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE eval_sipmamergesort_init_bb16_in(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0) -> Com_1(eval_sipmamergesort_init_stop(v_10, v_27, v_6, v_i.5, v_m.0, v_n, v_p.0, v_q.1, v_q.3, v_r.1, v_r.3, v_up.0)) :|: TRUE The start-symbols are:[eval_sipmamergesort_init_start_12] popout

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all output return to Compl C Integ Progr 85445