details

property	value
status	complete
benchmark	counterex1c.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n115.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	27.4476 seconds
cpu usage	88.6773
user time	83.5403
system time	5.13694
max virtual memory	1.8954472E7
max residence set size	337020.0

stage attributes

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

output

44.25/27.42 WORST_CASE(Omega(n^1), ?) 44.25/27.43 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 44.25/27.43 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 44.25/27.43 44.25/27.43 44.25/27.43 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 44.25/27.43 44.25/27.43 (0) CpxIntTrs 44.25/27.43 (1) Loat Proof [FINISHED, 1899 ms] 44.25/27.43 (2) BOUNDS(n^1, INF) 44.25/27.43 44.25/27.43 44.25/27.43 ---------------------------------------- 44.25/27.43 44.25/27.43 (0) 44.25/27.43 Obligation: 44.25/27.43 Complexity Int TRS consisting of the following rules: 44.25/27.43 eval_counterex1c_start(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb0_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_bb0_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_0(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_0(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_1(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_1(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_2(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_2(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_3(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_3(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_4(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_4(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_5(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_5(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_6(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_6(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_7(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_7(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_8(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_8(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_9(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_9(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v_b, v_x, v_y, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_bb1_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb2_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__01 >= 0 && 0 <= v__04 && v__04 <= v_n 44.25/27.43 eval_counterex1c_bb1_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c__critedge_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__01 < 0 44.25/27.43 eval_counterex1c_bb1_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c__critedge_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: 0 > v__04 44.25/27.43 eval_counterex1c_bb1_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c__critedge_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__04 > v_n 44.25/27.43 eval_counterex1c_bb2_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NodeBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_NodeBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_LeafBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 < 1 44.25/27.43 eval_counterex1c_NodeBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_LeafBlock8_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 >= 1 44.25/27.43 eval_counterex1c_LeafBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb3_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 >= 0 && v__0 <= 0 44.25/27.43 eval_counterex1c_LeafBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 < 0 44.25/27.43 eval_counterex1c_LeafBlock_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 > 0 44.25/27.43 eval_counterex1c_bb3_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_11(v__0, v__01, v__04, v__04 + 1, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_11(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_12(v__0, v__01, v__04, v_3, nondef_0, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_12(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(1, v__01, v_3, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_4 > 0 44.25/27.43 eval_counterex1c_12(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v__0, v__01, v_3, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_4 <= 0 44.25/27.43 eval_counterex1c_LeafBlock8_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb4_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 >= 1 && v__0 <= 1 44.25/27.43 eval_counterex1c_LeafBlock8_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 < 1 44.25/27.43 eval_counterex1c_LeafBlock8_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v__0 > 1 44.25/27.43 eval_counterex1c_bb4_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_15(v__0, v__01, v__04, v_3, v_4, v__04 - 1, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_15(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_16(v__0, v__01, v__04, v_3, v_4, v_6, nondef_1, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c_16(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(0, v__01 - 1, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 > 0 44.25/27.43 eval_counterex1c_16(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v__0, v__01 - 1, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 > 0 && v_7 <= 0 44.25/27.43 eval_counterex1c_16(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(0, v__01, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 <= 0 && v_7 > 0 44.25/27.43 eval_counterex1c_16(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v__0, v__01, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 <= 0 44.25/27.43 eval_counterex1c_NewDefault_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c__critedge_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 eval_counterex1c__critedge_in(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_stop(v__0, v__01, v__04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 44.25/27.43 44.25/27.43 The start-symbols are:[eval_counterex1c_start_11] 44.25/27.43 44.25/27.43 44.25/27.43 ---------------------------------------- 44.25/27.43 44.25/27.43 (1) Loat Proof (FINISHED) 44.25/27.43 44.25/27.43 44.25/27.43 ### Pre-processing the ITS problem ### 44.25/27.43 44.25/27.43 44.25/27.43 44.25/27.43 Initial linear ITS problem 44.25/27.43 44.25/27.43 Start location: evalcounterex1cstart 44.25/27.43 44.25/27.43 0: evalcounterex1cstart -> evalcounterex1cbb0in : [], cost: 1 44.25/27.43 44.25/27.43 1: evalcounterex1cbb0in -> evalcounterex1c0 : [], cost: 1 44.25/27.43 44.25/27.43 2: evalcounterex1c0 -> evalcounterex1c1 : [], cost: 1 44.25/27.43 44.25/27.43 3: evalcounterex1c1 -> evalcounterex1c2 : [], cost: 1 44.25/27.43 44.25/27.43 4: evalcounterex1c2 -> evalcounterex1c3 : [], cost: 1 44.25/27.43 44.25/27.43 5: evalcounterex1c3 -> evalcounterex1c4 : [], cost: 1 44.25/27.43 44.25/27.43 6: evalcounterex1c4 -> evalcounterex1c5 : [], cost: 1 44.25/27.43 44.25/27.43 7: evalcounterex1c5 -> evalcounterex1c6 : [], cost: 1 44.25/27.43 44.25/27.43 8: evalcounterex1c6 -> evalcounterex1c7 : [], cost: 1 44.25/27.43 44.25/27.43 9: evalcounterex1c7 -> evalcounterex1c8 : [], cost: 1 44.25/27.43 44.25/27.43 10: evalcounterex1c8 -> evalcounterex1c9 : [], cost: 1 44.25/27.43 44.25/27.43 11: evalcounterex1c9 -> evalcounterex1cbb1in : A'=B, C'=D, E'=F, [], cost: 1 44.25/27.43 44.25/27.43 12: evalcounterex1cbb1in -> evalcounterex1cbb2in : [ C>=0 && E>=0 && G>=E ], cost: 1 44.25/27.43 44.25/27.43 13: evalcounterex1cbb1in -> evalcounterex1ccritedgein : [ 0>=1+C ], cost: 1 44.25/27.43 44.25/27.43 14: evalcounterex1cbb1in -> evalcounterex1ccritedgein : [ 0>=1+E ], cost: 1 popout

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all output return to Complexity_ITS 2019-03-21 04.46