details

property	value
status	complete
benchmark	Loopus2015_big.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	Loopus

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	6.10453 seconds
cpu usage	7.57428
user time	7.00082
system time	0.573457
max virtual memory	1.8680568E7
max residence set size	325272.0

stage attributes

key	value
starexec-result	WORST_CASE(?, O(n^1))

output

7.45/6.06 WORST_CASE(?, O(n^1)) 7.45/6.07 proof of /export/starexec/sandbox/output/output_files/bench.koat 7.45/6.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.45/6.07 7.45/6.07 7.45/6.07 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 7.45/6.07 7.45/6.07 (0) CpxIntTrs 7.45/6.07 (1) Koat Proof [FINISHED, 4804 ms] 7.45/6.07 (2) BOUNDS(1, n^1) 7.45/6.07 7.45/6.07 7.45/6.07 ---------------------------------------- 7.45/6.07 7.45/6.07 (0) 7.45/6.07 Obligation: 7.45/6.07 Complexity Int TRS consisting of the following rules: 7.45/6.07 eval_Loopus2015_big_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb0_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_bb0_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, 0, 0, v_end.1, 0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb2_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 < v_len 7.45/6.07 eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb6_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 >= v_len 7.45/6.07 eval_Loopus2015_big_bb2_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_1(v_i.0 + 1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_1(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_Loopus2015_big_2(v_1, nondef.0, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_1, v_i.0, v_k.0, v_len)) :|: v_2 < 0 7.45/6.07 eval_Loopus2015_big_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_1, v_i.0, v_k.0, v_len)) :|: v_2 > 0 7.45/6.07 eval_Loopus2015_big_2(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.0, v_i.0, v_k.0, v_len)) :|: v_2 >= 0 && v_2 <= 0 7.45/6.07 eval_Loopus2015_big_3(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_Loopus2015_big_4(v_1, v_2, nondef.1, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_beg.0, v_len)) :|: v_4 < 0 7.45/6.07 eval_Loopus2015_big_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_beg.0, v_len)) :|: v_4 > 0 7.45/6.07 eval_Loopus2015_big_4(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb5_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_4 >= 0 && v_4 <= 0 7.45/6.07 eval_Loopus2015_big_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb4_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_k.0 < v_end.1 7.45/6.07 eval_Loopus2015_big_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_k.0 >= v_end.1 7.45/6.07 eval_Loopus2015_big_bb4_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb3_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0 + 1, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_bb5_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_7(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_7(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_Loopus2015_big_8(v_1, v_2, v_4, nondef.2, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 && v_8 > 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 > 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 < 0 && v_8 >= 0 && v_8 <= 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 > 0 && v_8 >= 0 && v_8 <= 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 && v_8 < 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_1, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 && v_8 > 0 7.45/6.07 eval_Loopus2015_big_8(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_bb1_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_8 >= 0 && v_8 <= 0 7.45/6.07 eval_Loopus2015_big_bb6_in(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_big_stop(v_1, v_2, v_4, v_8, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 7.45/6.07 7.45/6.07 The start-symbols are:[eval_Loopus2015_big_start_10] 7.45/6.07 7.45/6.07 7.45/6.07 ---------------------------------------- 7.45/6.07 7.45/6.07 (1) Koat Proof (FINISHED) 7.45/6.07 YES(?, 408*ar_3 + 6) 7.45/6.07 7.45/6.07 7.45/6.07 7.45/6.07 Initial complexity problem: 7.45/6.07 7.45/6.07 1: T: 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb1in(0, 0, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= ar_2 + 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_2 >= ar_3 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big1(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalLoopus2015big10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10), evalLoopus2015big11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9, ar_10)) [ 0 >= ar_5 + 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9, ar_10)) [ ar_5 >= 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_1, ar_8, ar_9, ar_10)) [ ar_5 = 0 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalLoopus2015big30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10), evalLoopus2015big31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_0, ar_10)) [ 0 >= ar_8 + 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_0, ar_10)) [ ar_8 >= 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015big4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_8 = 0 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_7 >= ar_9 + 1 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb1in(ar_4, ar_4, ar_4, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_9 >= ar_7 ] 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015bigbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9 + 1, ar_10)) 7.45/6.07 7.45/6.07 (Comp: ?, Cost: 1) evalLoopus2015bigbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalLoopus2015big7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) popout

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all output return to Complexity_C_Integer 2019-03-21 04.38