details

property	value
status	complete
benchmark	sipmamergesort.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n090.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	66.7467 seconds
cpu usage	134.849
user time	131.847
system time	3.00217
max virtual memory	1.941252E7
max residence set size	751296.0

stage attributes

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

output

134.75/66.70 WORST_CASE(Omega(n^1), ?) 134.79/66.72 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 134.79/66.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 134.79/66.72 134.79/66.72 134.79/66.72 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 134.79/66.72 134.79/66.72 (0) CpxIntTrs 134.79/66.72 (1) Loat Proof [FINISHED, 47.5 s] 134.79/66.72 (2) BOUNDS(n^1, INF) 134.79/66.72 134.79/66.72 134.79/66.72 ---------------------------------------- 134.79/66.72 134.79/66.72 (0) 134.79/66.72 Obligation: 134.79/66.72 Complexity Int TRS consisting of the following rules: 134.79/66.72 eval_sipmamergesort_init_start(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb0_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb0_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_0(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_0(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_1(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_1(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_2(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_2(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_3(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_3(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_4(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_4(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_5(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_5(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_6(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_6(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_7(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_7(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_8(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_8(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_9(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_9(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_10(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_10(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_11(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_11(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_12(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_12(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_13(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_13(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_14(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_14(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_15(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_15(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_16(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_16(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_17(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_17(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_18(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_18(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_19(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_19(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_20(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_20(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_21(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_21(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_22(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_22(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_23(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_23(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_24(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_24(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_25(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_25(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_26(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_26(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, 1, v_q_1, v_q_3, v_r_1, v_r_3, 1)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 < 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 < 0 && v_up_0 > 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 > 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 < 0 && v_up_0 >= 0 && v_up_0 <= 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 < 0 && v_up_0 > 0 && v_up_0 >= 0 && v_up_0 <= 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 > 0 && v_up_0 >= 0 && v_up_0 <= 0 134.79/66.72 eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_n, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_up_0 >= 0 && v_up_0 <= 0 134.79/66.72 eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, v_m_0 - 2 * v_p_0, v_i_5, v_m_0, v_n, v_p_0, v_p_0, v_q_3, v_p_0, v_r_3, v_up_0)) :|: v_m_0 >= v_p_0 && v_m_0 - v_p_0 >= v_p_0 134.79/66.72 eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, 0, v_i_5, v_m_0, v_n, v_p_0, v_p_0, v_q_3, v_m_0 - v_p_0, v_r_3, v_up_0)) :|: v_m_0 >= v_p_0 && v_m_0 - v_p_0 < v_p_0 134.79/66.72 eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, -(v_p_0), v_i_5, v_m_0, v_n, v_p_0, v_m_0, v_q_3, v_p_0, v_r_3, v_up_0)) :|: v_m_0 < v_p_0 && 0 >= v_p_0 134.79/66.72 eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, 0, v_i_5, v_m_0, v_n, v_p_0, v_m_0, v_q_3, 0, v_r_3, v_up_0)) :|: v_m_0 < v_p_0 && 0 < v_p_0 134.79/66.72 eval_sipmamergesort_init_bb3_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb4_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_q_1 > 0 && v_r_1 > 0 134.79/66.72 eval_sipmamergesort_init_bb3_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_1, v_up_0)) :|: v_q_1 <= 0 134.79/66.72 eval_sipmamergesort_init_bb3_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_1, v_up_0)) :|: v_r_1 <= 0 134.79/66.72 eval_sipmamergesort_init_bb4_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb5_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: nondef_0 < nondef_1 134.79/66.72 eval_sipmamergesort_init_bb4_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb6_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: nondef_0 >= nondef_1 134.79/66.72 eval_sipmamergesort_init_bb5_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1 - 1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb6_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb3_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1 - 1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb7_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb8_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_r_3 > 0 134.79/66.72 eval_sipmamergesort_init_bb7_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb9_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_1, v_r_1, v_r_3, v_up_0)) :|: v_r_3 <= 0 134.79/66.72 eval_sipmamergesort_init_bb8_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb7_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3 - 1, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb9_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb10_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_q_3 > 0 134.79/66.72 eval_sipmamergesort_init_bb9_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb11_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_q_3 <= 0 134.79/66.72 eval_sipmamergesort_init_bb10_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb9_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3 - 1, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb11_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_77(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_77(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_78(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_78(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_79(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_79(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_80(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_80(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_81(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_81(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb2_in(v_52, v_53, v_6, v_i_5, v_6, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_6 > 0 134.79/66.72 eval_sipmamergesort_init_81(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb12_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_6 <= 0 134.79/66.72 eval_sipmamergesort_init_bb12_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_83(-(v_up_0) + 1, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_83(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_84(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_84(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_85(v_52, 2 * v_p_0, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_85(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_86(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_86(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb1_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_53, v_q_1, v_q_3, v_r_1, v_r_3, v_52)) :|: v_53 < v_n 134.79/66.72 eval_sipmamergesort_init_86(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb13_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_53 >= v_n 134.79/66.72 eval_sipmamergesort_init_bb13_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb14_in(v_52, v_53, v_6, 1, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_52 >= 0 && v_52 <= 0 134.79/66.72 eval_sipmamergesort_init_bb13_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_52 < 0 134.79/66.72 eval_sipmamergesort_init_bb13_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_52 > 0 134.79/66.72 eval_sipmamergesort_init_bb14_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb15_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_i_5 <= v_n 134.79/66.72 eval_sipmamergesort_init_bb14_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb16_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: v_i_5 > v_n 134.79/66.72 eval_sipmamergesort_init_bb15_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_bb14_in(v_52, v_53, v_6, v_i_5 + 1, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 eval_sipmamergesort_init_bb16_in(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0) -> Com_1(eval_sipmamergesort_init_stop(v_52, v_53, v_6, v_i_5, v_m_0, v_n, v_p_0, v_q_1, v_q_3, v_r_1, v_r_3, v_up_0)) :|: TRUE 134.79/66.72 134.79/66.72 The start-symbols are:[eval_sipmamergesort_init_start_12] 134.79/66.72 134.79/66.72 134.79/66.72 ---------------------------------------- 134.79/66.72 134.79/66.72 (1) Loat Proof (FINISHED) 134.79/66.72 134.79/66.72 134.79/66.72 ### Pre-processing the ITS problem ### popout

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all output return to Complexity_ITS 2019-03-21 04.46