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Integer TRS Innermost pair #487528890
details
property
value
status
complete
benchmark
a.04.itrs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Mixed_ITRS_2014
run statistics
property
value
solver
Ctrl
configuration
Itrs
runtime (wallclock)
0.196385860443 seconds
cpu usage
0.121237322
max memory
8376320.0
stage attributes
key
value
output-size
678
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_Itrs /export/starexec/sandbox/benchmark/theBenchmark.itrs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES DP problem for innermost termination. P = eval#(x, y) -> eval#(x, y + 1) [x > y] R = eval(x, y) -> eval(x, y + 1) [x > y] We use the reverse value criterion with the projection function NU: NU[eval#(z1,z2)] = z1 + -1 * z2 This gives the following inequalities: x > y ==> x + -1 * y > x + -1 * (y + 1) with x + -1 * y >= 0 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
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