details

property	value
status	complete
benchmark	CPU2006_xdr3dfcoord.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	11.6311969757 seconds
cpu usage	13.136025441
max memory	6.07002624E8

stage attributes

key	value
output-size	738274
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).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, 10.3 s] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_xdr3dfcoord_start(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb0_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_bb0_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb1_in(v_10, v_12, v_3, v_9, 0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_bb1_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb2_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_i.0 < v_size eval_xdr3dfcoord_bb1_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb11_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_i.0 >= v_size eval_xdr3dfcoord_bb2_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb3_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_i.0 + 1 < v_size eval_xdr3dfcoord_bb2_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb4_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, 0, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_i.0 + 1 >= v_size eval_xdr3dfcoord_bb3_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_2(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_2(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_2(eval_random_start(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size), eval_xdr3dfcoord_3(v_10, v_12, nondef.0, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_3(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb4_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, 1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_3 < 0 eval_xdr3dfcoord_3(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb4_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, 1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_3 > 0 eval_xdr3dfcoord_3(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb4_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, 0, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_3 >= 0 && v_3 <= 0 eval_xdr3dfcoord_bb4_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.0 + 1, v_is_small.1, v_is_small.1, v_k.0, v_limit, 0, v_size)) :|: TRUE eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb6_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_is_small.2 < 0 && v_run.0 < v_limit eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb6_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_is_small.2 > 0 && v_run.0 < v_limit eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb9_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, 0, v_limit, v_run.0, v_size)) :|: v_is_small.2 >= 0 && v_is_small.2 <= 0 eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb9_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, 0, v_limit, v_run.0, v_size)) :|: v_run.0 >= v_limit eval_xdr3dfcoord_bb6_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb7_in(v_i.1 + 1, v_12, v_3, v_run.0 + 1, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_i.1 + 1 < v_size eval_xdr3dfcoord_bb6_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1 + 1, v_is_small.1, 0, v_k.0, v_limit, v_run.0 + 1, v_size)) :|: v_i.1 + 1 >= v_size eval_xdr3dfcoord_bb7_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_10(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_10(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_2(eval_random_start(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size), eval_xdr3dfcoord_11(v_10, nondef.1, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_11(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb8_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_12 < 0 eval_xdr3dfcoord_11(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb8_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_12 > 0 eval_xdr3dfcoord_11(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_10, v_is_small.1, 0, v_k.0, v_limit, v_9, v_size)) :|: v_12 >= 0 && v_12 <= 0 eval_xdr3dfcoord_bb8_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb5_in(v_10, v_12, v_3, v_9, v_i.0, v_10, v_is_small.1, 1, v_k.0, v_limit, v_9, v_size)) :|: TRUE eval_xdr3dfcoord_bb9_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb10_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_k.0 < v_run.0 eval_xdr3dfcoord_bb9_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb1_in(v_10, v_12, v_3, v_9, v_i.1, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: v_k.0 >= v_run.0 eval_xdr3dfcoord_bb10_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_bb9_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0 + 3, v_limit, v_run.0, v_size)) :|: TRUE eval_xdr3dfcoord_bb11_in(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size) -> Com_1(eval_xdr3dfcoord_stop(v_10, v_12, v_3, v_9, v_i.0, v_i.1, v_is_small.1, v_is_small.2, v_k.0, v_limit, v_run.0, v_size)) :|: TRUE The start-symbols are:[eval_xdr3dfcoord_start_12] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 96*ar_1^2 + 363*ar_1 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalxdr3dfcoordstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoordbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoordbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_1 >= ar_0 + 2 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb4in(ar_0, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_0 + 1 >= ar_1 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoord2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoord20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoord21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoord3(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoord2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_2(evalxdr3dfcoord20(ar_0, ar_1, ar_2, ar_3, n, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12), evalxdr3dfcoord21(ar_0, ar_1, ar_2, ar_3, n, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoord3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb4in(ar_0, ar_1, 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ 0 >= ar_3 + 1 ] (Comp: ?, Cost: 1) evalxdr3dfcoord3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb4in(ar_0, ar_1, 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_3 >= 1 ] (Comp: ?, Cost: 1) evalxdr3dfcoord3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb4in(ar_0, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_3 = 0 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0 + 1, ar_2, 0, ar_8, ar_9, ar_10, ar_11, ar_12)) (Comp: ?, Cost: 1) evalxdr3dfcoordbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ 0 >= ar_6 + 1 /\ ar_8 >= ar_7 + 1 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_6 >= 1 /\ ar_8 >= ar_7 + 1 ] (Comp: ?, Cost: 1) evalxdr3dfcoordbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalxdr3dfcoordbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, 0, ar_10, ar_11, ar_12)) [ ar_6 = 0 ] popout

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all output return to Compl C Integ Progr 85445