details

property	value
status	complete
benchmark	ChawdharyCookGulwaniSagivYang-ESOP2008-random2d_true-termination.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	Adapted_from_Stroeder_15

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	4.51356 seconds
cpu usage	5.88883
user time	5.47345
system time	0.415379
max virtual memory	1.8530716E7
max residence set size	203092.0

stage attributes

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

output

5.72/4.47 WORST_CASE(?, O(1)) 5.72/4.48 proof of /export/starexec/sandbox2/output/output_files/bench.koat 5.72/4.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.72/4.48 5.72/4.48 5.72/4.48 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 5.72/4.48 5.72/4.48 (0) CpxIntTrs 5.72/4.48 (1) Koat Proof [FINISHED, 3091 ms] 5.72/4.48 (2) BOUNDS(1, 1) 5.72/4.48 5.72/4.48 5.72/4.48 ---------------------------------------- 5.72/4.48 5.72/4.48 (0) 5.72/4.48 Obligation: 5.72/4.48 Complexity Int TRS consisting of the following rules: 5.72/4.48 eval_foo_start(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_bb0_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(0, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_bb1_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_.05 < 10 5.72/4.48 eval_foo_bb1_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_.05 >= 10 5.72/4.48 eval_foo_bb2_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_1(v_.05, v_.05 + 1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_1(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y), eval_foo_2(v_.05, v_1, nondef.0, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 0 && v_2 <= 3 5.72/4.48 eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 0 5.72/4.48 eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 3 5.72/4.48 eval_foo_bb3_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 2 5.72/4.48 eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 2 5.72/4.48 eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 1 5.72/4.48 eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 1 5.72/4.48 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 0 && v_2 <= 0 5.72/4.48 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 0 5.72/4.48 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 0 5.72/4.48 eval_foo_bb4_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 1 && v_2 <= 1 5.72/4.48 eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 1 5.72/4.48 eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 1 5.72/4.48 eval_foo_bb5_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 3 5.72/4.48 eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 3 5.72/4.48 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 2 && v_2 <= 2 5.72/4.48 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 2 5.72/4.48 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 2 5.72/4.48 eval_foo_bb6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 3 && v_2 <= 3 5.72/4.48 eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 3 5.72/4.48 eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 3 5.72/4.48 eval_foo_bb7_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 eval_foo_bb8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_stop(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE 5.72/4.48 5.72/4.48 The start-symbols are:[eval_foo_start_8] 5.72/4.48 5.72/4.48 5.72/4.48 ---------------------------------------- 5.72/4.48 5.72/4.48 (1) Koat Proof (FINISHED) 5.72/4.48 YES(?, 4606) 5.72/4.48 5.72/4.48 5.72/4.48 5.72/4.48 Initial complexity problem: 5.72/4.48 5.72/4.48 1: T: 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(0, ar_1, ar_2, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ 9 >= ar_0 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 10 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoo1(ar_0, ar_0 + 1, ar_2, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo10(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoo2(ar_0, ar_1, ar_3, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, e), evalfoo11(ar_0, ar_1, ar_2, e)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ 3 >= ar_2 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_2, ar_3)) [ ar_2 >= 4 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3)) 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlockin(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_2 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlock12in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 2 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfooNodeBlockin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooLeafBlockin(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfooNodeBlockin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooLeafBlock6in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ] 5.72/4.48 5.72/4.48 (Comp: ?, Cost: 1) evalfooLeafBlockin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ] 5.72/4.48 popout

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all output return to Complexity_C_Integer 2019-03-21 04.38