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SRS Stand 10685 pair #381723047
details
property
value
status
complete
benchmark
size-12-alpha-3-num-16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n108.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
22.7790310383 seconds
cpu usage
89.62189597
max memory
1.398411264E9
stage attributes
key
value
output-size
3285
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) -> x1 a(x1) -> b(x1) b(x1) -> x1 b(a(c(x1))) -> c(c(a(a(b(x1))))) Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(x1) b(x1) -> x1 c(a(b(x1))) -> b(a(a(c(c(x1))))) DP Processor: DPs: a#(x1) -> b#(x1) c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> b#(a(a(c(c(x1))))) TRS: a(x1) -> x1 a(x1) -> b(x1) b(x1) -> x1 c(a(b(x1))) -> b(a(a(c(c(x1))))) TDG Processor: DPs: a#(x1) -> b#(x1) c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> b#(a(a(c(c(x1))))) TRS: a(x1) -> x1 a(x1) -> b(x1) b(x1) -> x1 c(a(b(x1))) -> b(a(a(c(c(x1))))) graph: c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> b#(a(a(c(c(x1))))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> b#(a(a(c(c(x1))))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> a#(c(c(x1))) -> a#(x1) -> b#(x1) c#(a(b(x1))) -> a#(a(c(c(x1)))) -> a#(x1) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) b(x1) -> x1 c(a(b(x1))) -> b(a(a(c(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) b(x1) -> x1 c(a(b(x1))) -> b(a(a(c(c(x1))))) interpretation: [c#](x0) = [2 0]x0 + [3], [0 -&] [0] [c](x0) = [1 0 ]x0 + [2], [0 -&] [0] [b](x0) = [1 0 ]x0 + [2], [0 0] [0] [a](x0) = [1 0]x0 + [2] orientation: c#(a(b(x1))) = [3 2]x1 + [4] >= [2 0]x1 + [3] = c#(c(x1)) c#(a(b(x1))) = [3 2]x1 + [4] >= [2 0]x1 + [3] = c#(x1) [0 0] [0] a(x1) = [1 0]x1 + [2] >= x1 = x1 [0 0] [0] [0 -&] [0] a(x1) = [1 0]x1 + [2] >= [1 0 ]x1 + [2] = b(x1)
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