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SRS Stand 10685 pair #381720787
details
property
value
status
complete
benchmark
size-12-alpha-3-num-477.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n006.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.663310051 seconds
cpu usage
101.264651421
max memory
1.54638336E9
stage attributes
key
value
output-size
4621
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(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(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)) -> a#(b(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(b(c(x1)))) -> a#(a(x1)) -> a#(b(b(c(x1)))) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> c#(x1) EDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) SCC Processor: #sccs: 1 #rules: 3 #arcs: 6/16 DPs: c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) interpretation: [c#](x0) = [0 1]x0 + [0], [a#](x0) = [1 1]x0 + [2], [1 0] [2] [b](x0) = [0 0]x0 + [1], [-& 0 ] [0 ] [c](x0) = [0 -&]x0 + [-&], [-& 0 ] [0] [a](x0) = [0 1 ]x0 + [2] orientation: c#(b(x1)) = [1 1]x1 + [2] >= [0 1]x1 + [0] = c#(x1) c#(b(x1)) = [1 1]x1 + [2] >= [1 1]x1 + [2] = a#(c(x1)) a#(a(x1)) = [1 2]x1 + [3] >= [0 1]x1 + [0] = c#(x1) [0 1] [2] [0 1] [2] a(a(x1)) = [1 2]x1 + [3] >= [1 2]x1 + [3] = a(b(b(c(x1))))
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