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SRS Stand 10685 pair #381717135
details
property
value
status
complete
benchmark
05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.650837183 seconds
cpu usage
97.200667295
max memory
1.431068672E9
stage attributes
key
value
output-size
4707
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(b(b(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) b(b(a(x1))) -> a(b(a(x1))) Proof: String Reversal Processor: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1))) DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) a#(a(x1)) -> b#(b(b(x1))) a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> b#(a(x1)) a#(b(b(x1))) -> a#(b(a(x1))) TRS: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) a#(a(x1)) -> b#(b(b(x1))) a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> b#(a(x1)) a#(b(b(x1))) -> a#(b(a(x1))) TRS: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1))) graph: a#(b(b(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> a#(b(a(x1))) a#(b(b(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> b#(a(x1)) a#(b(b(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(b(b(x1))) a#(b(b(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(b(x1)) a#(b(b(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(x1) a#(b(b(x1))) -> a#(x1) -> a#(b(b(x1))) -> a#(b(a(x1))) a#(b(b(x1))) -> a#(x1) -> a#(b(b(x1))) -> b#(a(x1)) a#(b(b(x1))) -> a#(x1) -> a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(b(b(x1))) a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(b(x1)) a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: a#(b(b(x1))) -> a#(b(a(x1))) a#(b(b(x1))) -> a#(x1) TRS: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1))) interpretation: [a#](x0) = [-& 0 ]x0 + [0], [-& 2 ] [0] [a](x0) = [0 2 ]x0 + [1], [0 2 ] [1] [b](x0) = [0 -&]x0 + [0] orientation: a#(b(b(x1))) = [0 2]x1 + [1] >= [-& 2 ]x1 + [0] = a#(b(a(x1))) a#(b(b(x1))) = [0 2]x1 + [1] >= [-& 0 ]x1 + [0] = a#(x1) [2 4] [3] [-& 2 ] [0] b(b(a(x1))) = [2 4]x1 + [3] >= [0 2 ]x1 + [1] = a(x1) [2 4] [3] [2 4] [3] a(a(x1)) = [2 4]x1 + [3] >= [2 2]x1 + [2] = b(b(b(x1))) [2 4] [3] [-& 4 ] [2] a(b(b(x1))) = [2 4]x1 + [3] >= [2 4 ]x1 + [3] = a(b(a(x1))) problem: DPs: a#(b(b(x1))) -> a#(b(a(x1))) TRS: b(b(a(x1))) -> a(x1) a(a(x1)) -> b(b(b(x1))) a(b(b(x1))) -> a(b(a(x1)))
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