details

property	value
status	complete
benchmark	23.itrs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Mixed_ITRS_2014

run statistics

property	value
solver	Ctrl
configuration	Itrs
runtime (wallclock)	2.80734 seconds
cpu usage	2.85639
user time	1.47177
system time	1.38462
max virtual memory	245700.0
max residence set size	8612.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = eval_2#(x, y, z) -> eval_1#(x - 1, y, z) [x > z && z >= y] eval_2#(I0, I1, I2) -> eval_2#(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] eval_1#(I3, I4, I5) -> eval_2#(I3, I4, I5) [I3 > I5] R = eval_2(x, y, z) -> eval_1(x - 1, y, z) [x > z && z >= y] eval_2(I0, I1, I2) -> eval_2(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] eval_1(I3, I4, I5) -> eval_2(I3, I4, I5) [I3 > I5] We use the reverse value criterion with the projection function NU: NU[eval_1#(z1,z2,z3)] = z1 + -1 * z3 NU[eval_2#(z1,z2,z3)] = z1 - 1 + -1 * z3 This gives the following inequalities: x > z && z >= y ==> x - 1 + -1 * z >= x - 1 + -1 * z I0 > I2 && I1 > I2 ==> I0 - 1 + -1 * I2 >= I0 - 1 + -1 * I2 I3 > I5 ==> I3 + -1 * I5 > I3 - 1 + -1 * I5 with I3 + -1 * I5 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = eval_2#(x, y, z) -> eval_1#(x - 1, y, z) [x > z && z >= y] eval_2#(I0, I1, I2) -> eval_2#(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] R = eval_2(x, y, z) -> eval_1(x - 1, y, z) [x > z && z >= y] eval_2(I0, I1, I2) -> eval_2(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] eval_1(I3, I4, I5) -> eval_2(I3, I4, I5) [I3 > I5] The dependency graph for this problem is: 0 -> 1 -> 0, 1 Where: 0) eval_2#(x, y, z) -> eval_1#(x - 1, y, z) [x > z && z >= y] 1) eval_2#(I0, I1, I2) -> eval_2#(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] We have the following SCCs. { 1 } DP problem for innermost termination. P = eval_2#(I0, I1, I2) -> eval_2#(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] R = eval_2(x, y, z) -> eval_1(x - 1, y, z) [x > z && z >= y] eval_2(I0, I1, I2) -> eval_2(I0, I1 - 1, I2) [I0 > I2 && I1 > I2] eval_1(I3, I4, I5) -> eval_2(I3, I4, I5) [I3 > I5] We use the reverse value criterion with the projection function NU: NU[eval_2#(z1,z2,z3)] = z2 + -1 * z3 This gives the following inequalities: I0 > I2 && I1 > I2 ==> I1 + -1 * I2 > I1 - 1 + -1 * I2 with I1 + -1 * I2 >= 0 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. popout

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all output return to Integer TRS Innermost