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SRS Stand 10685 pair #381719367
details
property
value
status
complete
benchmark
size-12-alpha-3-num-271.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n025.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
26.46833992 seconds
cpu usage
104.428120528
max memory
1.5950848E9
stage attributes
key
value
output-size
5927
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(x1) -> x1 a(b(x1)) -> c(a(x1)) c(c(x1)) -> c(b(c(b(a(x1))))) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> a(c(x1)) c(c(x1)) -> a(b(c(b(c(x1))))) DP Processor: DPs: b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> a#(b(c(b(c(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> a(c(x1)) c(c(x1)) -> a(b(c(b(c(x1))))) TDG Processor: DPs: b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> a#(b(c(b(c(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> a(c(x1)) c(c(x1)) -> a(b(c(b(c(x1))))) graph: c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> a#(b(c(b(c(x1))))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> a#(c(x1)) c#(c(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> c#(x1) c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(c(x1)) c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(x1) b#(a(x1)) -> c#(x1) -> c#(c(x1)) -> a#(b(c(b(c(x1))))) b#(a(x1)) -> c#(x1) -> c#(c(x1)) -> b#(c(b(c(x1)))) b#(a(x1)) -> c#(x1) -> c#(c(x1)) -> c#(b(c(x1))) b#(a(x1)) -> c#(x1) -> c#(c(x1)) -> b#(c(x1)) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(x1)) b#(a(x1)) -> c#(x1) c#(c(x1)) -> b#(c(b(c(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> a(c(x1)) c(c(x1)) -> a(b(c(b(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> a(c(x1)) c(c(x1)) -> a(b(c(b(c(x1))))) interpretation: [c#](x0) = [1 0]x0 + [0], [b#](x0) = [1 0]x0 + [0], [1 0 ] [1] [c](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [b](x0) = [0 1 ]x0 + [0], [0 1] [0] [a](x0) = [1 0]x0 + [1] orientation: c#(c(x1)) = [2 1]x1 + [2] >= [1 0]x1 + [1] = c#(b(c(x1))) c#(c(x1)) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b#(c(x1)) b#(a(x1)) = [1 2]x1 + [1] >= [1 0]x1 + [0] = c#(x1) c#(c(x1)) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b#(c(b(c(x1)))) [0 1] [0] a(x1) = [1 0]x1 + [1] >= x1 = x1 [1 0] [1] [1 0] [1]
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