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SRS Stand 10685 pair #381717695
details
property
value
status
complete
benchmark
13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.2930278778 seconds
cpu usage
99.961287137
max memory
1.60632832E9
stage attributes
key
value
output-size
5562
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(a(b(x1))) -> a(x1) a(b(a(x1))) -> b(b(a(x1))) b(b(x1)) -> a(a(a(x1))) Proof: DP Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS: a(a(b(x1))) -> a(x1) a(b(a(x1))) -> b(b(a(x1))) b(b(x1)) -> a(a(a(x1))) TDG Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS: a(a(b(x1))) -> a(x1) a(b(a(x1))) -> b(b(a(x1))) b(b(x1)) -> a(a(a(x1))) graph: b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(a(a(x1))) -> a#(a(b(x1))) -> a#(x1) b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1) b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(a(x1))) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(x1)) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(b(x1))) -> a(x1) a(b(a(x1))) -> b(b(a(x1))) b(b(x1)) -> a(a(a(x1))) interpretation: [b#](x0) = [-& 2 ]x0 + [0], [a#](x0) = [0 2]x0 + [0], [0 -&] [0] [a](x0) = [1 0 ]x0 + [1], [0 0] [-&] [b](x0) = [1 0]x0 + [1 ] orientation: a#(a(b(x1))) = [3 3]x1 + [3] >= [0 2]x1 + [0] = a#(x1) a#(b(a(x1))) = [3 2]x1 + [3] >= [3 2]x1 + [3] = b#(b(a(x1))) b#(b(x1)) = [3 2]x1 + [3] >= [0 2]x1 + [0] = a#(x1) b#(b(x1)) = [3 2]x1 + [3] >= [3 2]x1 + [3] = a#(a(x1)) b#(b(x1)) = [3 2]x1 + [3] >= [3 2]x1 + [3] = a#(a(a(x1))) [0 0] [0] [0 -&] [0] a(a(b(x1))) = [1 1]x1 + [1] >= [1 0 ]x1 + [1] = a(x1) [1 0] [1] [1 0] [1] a(b(a(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b(b(a(x1))) [1 0] [1] [0 -&] [0] b(b(x1)) = [1 1]x1 + [1] >= [1 0 ]x1 + [1] = a(a(a(x1))) problem: DPs: a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS: a(a(b(x1))) -> a(x1) a(b(a(x1))) -> b(b(a(x1))) b(b(x1)) -> a(a(a(x1))) Restore Modifier: DPs: a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS:
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