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SRS Stand 10685 pair #381723547
details
property
value
status
complete
benchmark
size-12-alpha-3-num-82.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
27.5425410271 seconds
cpu usage
108.719591756
max memory
1.559404544E9
stage attributes
key
value
output-size
5050
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(a(x1)) -> b(a(b(c(x1)))) b(x1) -> x1 c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> a#(b(c(x1))) a#(a(x1)) -> b#(a(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(c(x1)))) b(x1) -> x1 c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> a#(b(c(x1))) a#(a(x1)) -> b#(a(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(c(x1)))) b(x1) -> x1 c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(a(b(c(x1)))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(c(x1))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(a(b(c(x1)))) a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> c#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(c(x1))) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(c(x1)))) b(x1) -> x1 c(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 3 usable rules: a(x1) -> x1 a(a(x1)) -> b(a(b(c(x1)))) b(x1) -> x1 c(b(x1)) -> a(c(x1)) interpretation: [c#](x0) = [-& -& 0 ]x0 + [1], [a#](x0) = [1 0 0]x0 + [0], [0 -& 0 ] [0] [b](x0) = [-& 0 0 ]x0 + [1] [0 0 1 ] [1], [-& -& 0 ] [0] [c](x0) = [0 -& 0 ]x0 + [0] [-& -& 0 ] [0], [1 -& 1 ] [1] [a](x0) = [0 0 0 ]x0 + [0] [1 -& 0 ] [0] orientation: c#(b(x1)) = [0 0 1]x1 + [1] >= [-& -& 0 ]x1 + [1] = c#(x1) c#(b(x1)) = [0 0 1]x1 + [1] >= [0 -& 1 ]x1 + [1] = a#(c(x1)) a#(a(x1)) = [2 0 2]x1 + [2] >= [-& -& 0 ]x1 + [1] = c#(x1) a#(a(x1)) = [2 0 2]x1 + [2] >= [0 -& 1 ]x1 + [1] = a#(b(c(x1)))
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