details

property	value
status	complete
benchmark	A12.itrs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Mixed_ITRS_2014

run statistics

property	value
solver	Ctrl
configuration	Itrs
runtime (wallclock)	0.194647 seconds
cpu usage	0.198264
user time	0.098507
system time	0.099757
max virtual memory	113188.0
max residence set size	8668.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = f#(true, x, y) -> f#(x > y && y > 2, 1 + x, 2 * y) R = f(true, x, y) -> f(x > y && y > 2, 1 + x, 2 * y) This problem is converted using chaining, where edges between chained DPs are removed. DP problem for innermost termination. P = f#(true, x, y) -> f_1#(x, y) f_1#(x, y) -> f#(x > y && y > 2, 1 + x, 2 * y) f_1#(x, y) -> f_1#(1 + x, 2 * y) [x > y && y > 2] R = f(true, x, y) -> f(x > y && y > 2, 1 + x, 2 * y) The dependency graph for this problem is: 0 -> 2, 1 1 -> 2 -> 2, 1 Where: 0) f#(true, x, y) -> f_1#(x, y) 1) f_1#(x, y) -> f#(x > y && y > 2, 1 + x, 2 * y) 2) f_1#(x, y) -> f_1#(1 + x, 2 * y) [x > y && y > 2] We have the following SCCs. { 2 } DP problem for innermost termination. P = f_1#(x, y) -> f_1#(1 + x, 2 * y) [x > y && y > 2] R = f(true, x, y) -> f(x > y && y > 2, 1 + x, 2 * y) We use the reverse value criterion with the projection function NU: NU[f_1#(z1,z2)] = z1 + -1 * z2 This gives the following inequalities: x > y && y > 2 ==> x + -1 * y > 1 + x + -1 * (2 * y) with x + -1 * y >= 0 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. popout

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job log

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actions

all output return to Integer TRS Innermost