Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl C Integ Progr 85445 pair #381745793
details
property
value
status
complete
benchmark
CPU2006_ApplyBndRobin.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
112.276842833 seconds
cpu usage
114.790396832
max memory
9.41740032E8
stage attributes
key
value
output-size
3546437
starexec-result
WORST_CASE(?, ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, ?) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, EXP). (0) CpxIntTrs (1) Koat Proof [FINISHED, 110.8 s] (2) BOUNDS(1, EXP) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_ApplyBndRobin_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb0_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_bb0_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_first_var)) :|: TRUE eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, 0, v_num_vars, v_var.0)) :|: v_var.0 < v_first_var + v_num_vars eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb17_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_var.0 >= v_first_var + v_num_vars eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 < v_GH_cctk_lsh_2 eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb16_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 >= v_GH_cctk_lsh_2 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb4_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 >= 0 && v_k.0 <= 0 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 < 0 eval_ApplyBndRobin_bb3_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_k.0 > 0 eval_ApplyBndRobin_bb4_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_2(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_2(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_3(v_10, v_12, nondef.0, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 < 0 eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 > 0 eval_ApplyBndRobin_3(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_4 >= 0 && v_4 <= 0 eval_ApplyBndRobin_bb5_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_4(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_4(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_5(v_10, v_12, v_4, nondef.1, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, -(1), v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 < 0 eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, -(1), v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 > 0 eval_ApplyBndRobin_5(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, 0, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_6 >= 0 && v_6 <= 0 eval_ApplyBndRobin_bb6_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, 0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 < v_GH_cctk_lsh_1 eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb15_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 >= v_GH_cctk_lsh_1 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb9_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 >= 0 && v_j.0 <= 0 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 < 0 eval_ApplyBndRobin_bb8_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_j.0 > 0 eval_ApplyBndRobin_bb9_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_7(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_7(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_8(nondef.2, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 < 0 eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 > 0 eval_ApplyBndRobin_8(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_10 >= 0 && v_10 <= 0 eval_ApplyBndRobin_bb10_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_9(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_9(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_2(eval_random_start(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0), eval_ApplyBndRobin_10(v_10, nondef.3, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, -(1), v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 < 0 eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, -(1), v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 > 0 eval_ApplyBndRobin_10(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, 0, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_12 >= 0 && v_12 <= 0 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 < 0 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 > 0 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dz.1 < 0 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dz.1 > 0 eval_ApplyBndRobin_bb11_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_dy.1 >= 0 && v_dy.1 <= 0 && v_dz.1 >= 0 && v_dz.1 <= 0 eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb13_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_i.0 < v_GH_cctk_lsh_0 - 1 eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: v_i.0 >= v_GH_cctk_lsh_0 - 1 eval_ApplyBndRobin_bb13_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb12_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0 + 1, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_bb14_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb7_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0 + 1, v_k.0, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_bb15_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb2_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0 + 1, v_num_vars, v_var.0)) :|: TRUE eval_ApplyBndRobin_bb16_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_bb1_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0 + 1)) :|: TRUE eval_ApplyBndRobin_bb17_in(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0) -> Com_1(eval_ApplyBndRobin_stop(v_10, v_12, v_4, v_6, v_GH_cctk_lsh_0, v_GH_cctk_lsh_1, v_GH_cctk_lsh_2, v_dy.1, v_dz.1, v_first_var, v_i.0, v_j.0, v_k.0, v_num_vars, v_var.0)) :|: TRUE The start-symbols are:[eval_ApplyBndRobin_start_15] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, pow(2, ar_2 + 2) * (33*ar_4 + 3) + 3 * pow(2, ar_2 + 2) * (22*ar_4 + 2) + 4 * pow(2, ar_2 + 2) * (22*ar_4^2 + 264*ar_10*ar_4 + 398*ar_4 + 24*ar_10 + 36) + 2 * pow(2, ar_2 + 2) * (44*ar_4^2 + 264*ar_10*ar_4 + 400*ar_4 + 24*ar_10 + 36) + 8 * pow(2, ar_2 + 2) * (22*ar_15*ar_4^2 + 264*ar_10*ar_15*ar_4 + 398*ar_15*ar_4 + 24*ar_10*ar_15 + 36*ar_15 + 22*ar_4^2 + 264*ar_10*ar_4 + 398*ar_4 + 24*ar_10 + 36) + 4 * pow(2, ar_2 + 2) * (44*ar_15*ar_4^2 + 264*ar_10*ar_15*ar_4 + 400*ar_15*ar_4 + 24*ar_10*ar_15 + 36*ar_15 + 44*ar_4^2 + 264*ar_10*ar_4 + 400*ar_4 + 24*ar_10 + 36) + 24 * pow(2, ar_2 + 2) * (11*ar_4^2 + 132*ar_10*ar_4 + 199*ar_4 + 12*ar_10 + 18) + 12 * pow(2, ar_2 + 2) * (22*ar_4^2 + 132*ar_10*ar_4 + 200*ar_4 + 12*ar_10 + 18) + 6 * pow(2, ar_2 + 2) * (33*ar_4^2 + 396*ar_10*ar_4 + 597*ar_4 + 36*ar_10 + 54) + 3 * pow(2, ar_2 + 2) * (66*ar_4^2 + 396*ar_10*ar_4 + 600*ar_4 + 36*ar_10 + 54) + 13 * pow(2, ar_2 + 2) * (11*ar_4 + 1) + 2 * pow(2, ar_2 + 2) * 2 + pow(2, ar_2 + 2) + 22) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalApplyBndRobinstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) (Comp: ?, Cost: 1) evalApplyBndRobinbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) (Comp: ?, Cost: 1) evalApplyBndRobinbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, 0, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_1 + ar_2 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalApplyBndRobinbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb17in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_0 >= ar_1 + ar_2 ] (Comp: ?, Cost: 1) evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_4 >= ar_3 + 1 ] (Comp: ?, Cost: 1) evalApplyBndRobinbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb16in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_3 >= ar_4 ] (Comp: ?, Cost: 1) evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ ar_3 = 0 ] (Comp: ?, Cost: 1) evalApplyBndRobinbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15) -> Com_1(evalApplyBndRobinbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15)) [ 0 >= ar_3 + 1 ]
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl C Integ Progr 85445