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TRS Relative pair #487520729
details
property
value
status
complete
benchmark
rt1-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.955881118774 seconds
cpu usage
2.571707139
max memory
3.6941824E8
stage attributes
key
value
output-size
1279
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: s(a(x)) -> s(b(x)) b(b(x)) -> a(x) weak: f(s(x),y) -> f(x,s(y)) s(a(x)) -> a(s(x)) s(b(x)) -> b(s(x)) a(s(x)) -> s(a(x)) b(s(x)) -> s(b(x)) Proof: LPO Processor: precedence: f > b ~ s ~ a problem: strict: s(a(x)) -> s(b(x)) weak: s(a(x)) -> a(s(x)) s(b(x)) -> b(s(x)) a(s(x)) -> s(a(x)) b(s(x)) -> s(b(x)) String Reversal Processor: strict: a(s(x)) -> b(s(x)) weak: a(s(x)) -> s(a(x)) b(s(x)) -> s(b(x)) s(a(x)) -> a(s(x)) s(b(x)) -> b(s(x)) Arctic Interpretation Processor: dimension: 1 interpretation: [s](x0) = x0, [a](x0) = 3x0, [b](x0) = x0 orientation: a(s(x)) = 3x >= x = b(s(x)) a(s(x)) = 3x >= 3x = s(a(x)) b(s(x)) = x >= x = s(b(x)) s(a(x)) = 3x >= 3x = a(s(x)) s(b(x)) = x >= x = b(s(x)) problem: strict: weak: a(s(x)) -> s(a(x)) b(s(x)) -> s(b(x)) s(a(x)) -> a(s(x)) s(b(x)) -> b(s(x)) Qed
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