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SRS Stand 10685 pair #381719767
details
property
value
status
complete
benchmark
size-12-alpha-3-num-376.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
23.834646225 seconds
cpu usage
93.85188149
max memory
1.530003456E9
stage attributes
key
value
output-size
3687
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(x1) -> b(x1) a(c(x1)) -> c(c(c(a(a(b(x1)))))) b(b(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(c(x1)))))) b(b(x1)) -> x1 DP Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> a#(c(c(c(x1)))) c#(a(x1)) -> a#(a(c(c(c(x1))))) c#(a(x1)) -> b#(a(a(c(c(c(x1)))))) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(c(x1)))))) b(b(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> a#(c(c(c(x1)))) c#(a(x1)) -> a#(a(c(c(c(x1))))) c#(a(x1)) -> b#(a(a(c(c(c(x1)))))) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(c(x1)))))) b(b(x1)) -> x1 graph: c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> b#(a(a(c(c(c(x1)))))) c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> a#(a(c(c(c(x1))))) c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> a#(c(c(c(x1)))) c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(c(x1))) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> b#(a(a(c(c(c(x1)))))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(a(c(c(c(x1))))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(c(c(c(x1)))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(a(a(c(c(c(x1)))))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(a(c(c(c(x1))))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(c(c(x1)))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> a#(c(c(c(x1)))) -> a#(x1) -> b#(x1) c#(a(x1)) -> a#(a(c(c(c(x1))))) -> a#(x1) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 20/49 DPs: c#(a(x1)) -> c#(c(c(x1))) c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(c(x1)))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(c(x1)))))) b(b(x1)) -> x1 interpretation: [c#](x0) = [0 2]x0 + [0], [0 1 ] [2] [c](x0) = [-& 0 ]x0 + [0], [0 0 ] [0 ] [b](x0) = [0 -&]x0 + [-&], [0 0] [0] [a](x0) = [0 1]x0 + [2] orientation: c#(a(x1)) = [2 3]x1 + [4] >= [0 2]x1 + [2] = c#(c(c(x1))) c#(a(x1)) = [2 3]x1 + [4] >= [0 2]x1 + [0] = c#(x1) c#(a(x1)) = [2 3]x1 + [4] >= [0 2]x1 + [2] = c#(c(x1))
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