details

property	value
status	complete
benchmark	poly3.itrs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n178.star.cs.uiowa.edu
space	Mixed_ITRS_2014

run statistics

property	value
solver	Ctrl
configuration	Itrs
runtime (wallclock)	0.978849 seconds
cpu usage	0.9893
user time	0.70918
system time	0.28012
max virtual memory	719376.0
max residence set size	12692.0

stage attributes

key	value
starexec-result	MAYBE

output

0.74/0.97 MAYBE 0.74/0.97 0.74/0.97 DP problem for innermost termination. 0.74/0.97 P = 0.74/0.97 eval#(x, y, z) -> eval#(x, y - 1, z + y) [x >= 0 && z * z * z >= y] 0.74/0.97 eval#(I0, I1, I2) -> eval#(I0 - 1, I1 - 1, I2) [I0 >= 0 && I2 * I2 * I2 >= I1] 0.74/0.97 R = 0.74/0.97 eval(x, y, z) -> eval(x, y - 1, z + y) [x >= 0 && z * z * z >= y] 0.74/0.97 eval(I0, I1, I2) -> eval(I0 - 1, I1 - 1, I2) [I0 >= 0 && I2 * I2 * I2 >= I1] 0.74/0.97 0.74/0.97 We use the reverse value criterion with the projection function NU: 0.74/0.97 NU[eval#(z1,z2,z3)] = z1 0.74/0.97 0.74/0.97 This gives the following inequalities: 0.74/0.97 x >= 0 && z * z * z >= y ==> x >= x 0.74/0.97 I0 >= 0 && I2 * I2 * I2 >= I1 ==> I0 > I0 - 1 with I0 >= 0 0.74/0.97 0.74/0.97 We remove all the strictly oriented dependency pairs. 0.74/0.97 0.74/0.97 DP problem for innermost termination. 0.74/0.97 P = 0.74/0.97 eval#(x, y, z) -> eval#(x, y - 1, z + y) [x >= 0 && z * z * z >= y] 0.74/0.97 R = 0.74/0.97 eval(x, y, z) -> eval(x, y - 1, z + y) [x >= 0 && z * z * z >= y] 0.74/0.97 eval(I0, I1, I2) -> eval(I0 - 1, I1 - 1, I2) [I0 >= 0 && I2 * I2 * I2 >= I1] 0.74/0.97 0.74/3.95 EOF popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Integer_TRS_Innermost 2019-03-21 04.53