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Integer TRS Innermost pair #487529080
details
property
value
status
complete
benchmark
complete1.itrs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Mixed_ITRS_2014
run statistics
property
value
solver
Ctrl
configuration
Itrs
runtime (wallclock)
0.172387123108 seconds
cpu usage
0.179779581
max memory
8986624.0
stage attributes
key
value
output-size
802
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#(i, j) -> eval#(i - nat, j + pos) [i - j >= 1 && nat >= 0 && pos > 0] R = eval(i, j) -> eval(i - nat, j + pos) [i - j >= 1 && nat >= 0 && pos > 0] We use the reverse value criterion with the projection function NU: NU[eval#(z1,z2)] = z1 - z2 + -1 * 1 This gives the following inequalities: i - j >= 1 && nat >= 0 && pos > 0 ==> i - j + -1 * 1 > i - nat - (j + pos) + -1 * 1 with i - j + -1 * 1 >= 0 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
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