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SRS Standard pair #516973502
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
n171.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.1570680141 seconds
cpu usage
170.909998624
max memory
1.626845184E9
stage attributes
key
value
output-size
3670
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: 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: [-& 0 ] [0 ] [b](x0) = [0 -&]x0 + [-3], [c#](x0) = [0 2]x0 + [0], [-& 0 ] [0] [a](x0) = [0 2 ]x0 + [2], [0 2 ] [0 ] [c](x0) = [-& 0 ]x0 + [-&] orientation: c#(a(x1)) = [2 4]x1 + [4] >= [0 2]x1 + [0] = c#(c(c(x1))) c#(a(x1)) = [2 4]x1 + [4] >= [0 2]x1 + [0] = c#(x1) c#(a(x1)) = [2 4]x1 + [4] >= [0 2]x1 + [0] = c#(c(x1))
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