details

property	value
status	complete
benchmark	rank3.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	76.0623 seconds
cpu usage	107.807
user time	102.259
system time	5.54848
max virtual memory	1.89771E7
max residence set size	413244.0

stage attributes

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

output

107.71/76.03 WORST_CASE(Omega(n^1), ?) 107.71/76.04 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 107.71/76.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 107.71/76.04 107.71/76.04 107.71/76.04 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 107.71/76.04 107.71/76.04 (0) CpxIntTrs 107.71/76.04 (1) Loat Proof [FINISHED, 3557 ms] 107.71/76.04 (2) BOUNDS(n^1, INF) 107.71/76.04 107.71/76.04 107.71/76.04 ---------------------------------------- 107.71/76.04 107.71/76.04 (0) 107.71/76.04 Obligation: 107.71/76.04 Complexity Int TRS consisting of the following rules: 107.71/76.04 eval_rank2_start(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb0_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_bb0_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_0(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_0(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_1(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_1(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_2(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_2(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_3(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_3(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_4(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_4(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_5(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_5(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_6(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_6(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_7(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_7(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_8(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_8(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_m, v_x_1, v_x_2, v_m, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_bb1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb2_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_x_0 >= 2 107.71/76.04 eval_rank2_bb1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb9_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_x_0 < 2 107.71/76.04 eval_rank2_bb2_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb3_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_0 - 1, v_x_2, v_y_0, v_y_0 + v_x_0 - 1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_bb3_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb4_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_y_1 >= v_x_1 + 1 107.71/76.04 eval_rank2_bb3_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2__critedge_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_y_1 < v_x_1 + 1 107.71/76.04 eval_rank2_bb4_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_14(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_14(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_15(v_10, v_14, v_15, v_16, nondef_0, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.04 eval_rank2_15(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb5_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_5 > 0 107.71/76.04 eval_rank2_15(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2__critedge_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_5 <= 0 107.71/76.04 eval_rank2_bb5_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb6_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_1, v_y_0, v_y_1, v_y_1 - 1)) :|: TRUE 107.71/76.04 eval_rank2_bb6_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb7_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_y_2 >= v_x_2 + 3 107.71/76.04 eval_rank2_bb6_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2__critedge1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_y_2 < v_x_2 + 3 107.71/76.05 eval_rank2_bb7_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_20(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_20(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_21(nondef_1, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_21(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb8_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_10 > 0 107.71/76.05 eval_rank2_21(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2__critedge1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: v_10 <= 0 107.71/76.05 eval_rank2_bb8_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb6_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2 + 1, v_y_0, v_y_1, v_y_2 - 2)) :|: TRUE 107.71/76.05 eval_rank2__critedge1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_26(v_10, v_y_2 - 1, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_26(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_27(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_27(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb3_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_2, v_x_2, v_y_0, v_14, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2__critedge_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_29(v_10, v_14, v_x_1 - 1, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_29(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_30(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_30(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_31(v_10, v_14, v_15, v_y_1 - v_15, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_31(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_32(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_32(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_bb1_in(v_10, v_14, v_15, v_16, v_5, v_m, v_15, v_x_1, v_x_2, v_16, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 eval_rank2_bb9_in(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2) -> Com_1(eval_rank2_stop(v_10, v_14, v_15, v_16, v_5, v_m, v_x_0, v_x_1, v_x_2, v_y_0, v_y_1, v_y_2)) :|: TRUE 107.71/76.05 107.71/76.05 The start-symbols are:[eval_rank2_start_12] 107.71/76.05 107.71/76.05 107.71/76.05 ---------------------------------------- 107.71/76.05 107.71/76.05 (1) Loat Proof (FINISHED) 107.71/76.05 107.71/76.05 107.71/76.05 ### Pre-processing the ITS problem ### 107.71/76.05 107.71/76.05 107.71/76.05 107.71/76.05 Initial linear ITS problem 107.71/76.05 107.71/76.05 Start location: evalrank2start 107.71/76.05 107.71/76.05 0: evalrank2start -> evalrank2bb0in : [], cost: 1 107.71/76.05 107.71/76.05 1: evalrank2bb0in -> evalrank20 : [], cost: 1 107.71/76.05 107.71/76.05 2: evalrank20 -> evalrank21 : [], cost: 1 107.71/76.05 107.71/76.05 3: evalrank21 -> evalrank22 : [], cost: 1 107.71/76.05 107.71/76.05 4: evalrank22 -> evalrank23 : [], cost: 1 107.71/76.05 107.71/76.05 5: evalrank23 -> evalrank24 : [], cost: 1 107.71/76.05 107.71/76.05 6: evalrank24 -> evalrank25 : [], cost: 1 107.71/76.05 107.71/76.05 7: evalrank25 -> evalrank26 : [], cost: 1 107.71/76.05 107.71/76.05 8: evalrank26 -> evalrank27 : [], cost: 1 107.71/76.05 107.71/76.05 9: evalrank27 -> evalrank28 : [], cost: 1 107.71/76.05 107.71/76.05 10: evalrank28 -> evalrank2bb1in : A'=B, C'=B, [], cost: 1 107.71/76.05 107.71/76.05 11: evalrank2bb1in -> evalrank2bb2in : [ A>=2 ], cost: 1 107.71/76.05 107.71/76.05 12: evalrank2bb1in -> evalrank2bb9in : [ 1>=A ], cost: 1 107.71/76.05 107.71/76.05 13: evalrank2bb2in -> evalrank2bb3in : D'=-1+A, E'=-1+C+A, [], cost: 1 107.71/76.05 107.71/76.05 14: evalrank2bb3in -> evalrank2bb4in : [ E>=1+D ], cost: 1 popout

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all output return to Complexity_ITS 2019-03-21 04.46