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SRS Standard pair #516973898
details
property
value
status
complete
benchmark
size-12-alpha-3-num-126.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.6214971542 seconds
cpu usage
172.93640777
max memory
1.777176576E9
stage attributes
key
value
output-size
5585
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(a(b(x1))) -> c(c(b(a(x1)))) b(c(x1)) -> a(b(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(b(c(c(x1)))) c(b(x1)) -> b(a(x1)) DP Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> b#(c(c(x1))) b#(a(a(x1))) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) c#(b(x1)) -> b#(a(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(c(c(x1)))) c(b(x1)) -> b(a(x1)) TDG Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> b#(c(c(x1))) b#(a(a(x1))) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) c#(b(x1)) -> b#(a(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(c(c(x1)))) c(b(x1)) -> b(a(x1)) graph: c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(c(x1)))) c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(c(c(x1))) c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(c(x1)) c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) -> c#(b(x1)) -> b#(a(x1)) b#(a(a(x1))) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> b#(a(x1)) b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> a#(x1) b#(a(a(x1))) -> b#(c(c(x1))) -> b#(a(a(x1))) -> a#(b(c(c(x1)))) b#(a(a(x1))) -> b#(c(c(x1))) -> b#(a(a(x1))) -> b#(c(c(x1))) b#(a(a(x1))) -> b#(c(c(x1))) -> b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> b#(c(c(x1))) -> b#(a(a(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> b#(a(x1)) b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> b#(c(c(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(c(c(x1)))) c(b(x1)) -> b(a(x1)) Arctic Interpretation Processor: dimension: 1 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(b(c(c(x1)))) c(b(x1)) -> b(a(x1)) interpretation: [b#](x0) = 10x0 + 12, [b](x0) = 9x0 + 14, [c#](x0) = 10x0, [a](x0) = x0, [c](x0) = x0 + 2 orientation: c#(b(x1)) = 19x1 + 24 >= 10x1 + 12 = b#(a(x1)) b#(a(a(x1))) = 10x1 + 12 >= 10x1 = c#(x1) b#(a(a(x1))) = 10x1 + 12 >= 10x1 + 12 = c#(c(x1)) b#(a(a(x1))) = 10x1 + 12 >= 10x1 + 12 = b#(c(c(x1))) a(x1) = x1 >= x1 = x1 b(a(a(x1))) = 9x1 + 14 >= 9x1 + 14 = a(b(c(c(x1)))) c(b(x1)) = 9x1 + 14 >= 9x1 + 14 = b(a(x1)) problem: DPs:
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