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SRS Stand 10685 pair #381722310
details
property
value
status
complete
benchmark
size-12-alpha-3-num-467.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.040653944 seconds
cpu usage
94.54160097
max memory
1.519525888E9
stage attributes
key
value
output-size
4465
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) -> b(c(b(x1))) b(b(c(x1))) -> c(a(b(x1))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> c#(b(x1)) a#(x1) -> b#(c(b(x1))) b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> c#(a(b(x1))) TRS: a(x1) -> b(c(b(x1))) b(b(c(x1))) -> c(a(b(x1))) c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> c#(b(x1)) a#(x1) -> b#(c(b(x1))) b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> c#(a(b(x1))) TRS: a(x1) -> b(c(b(x1))) b(b(c(x1))) -> c(a(b(x1))) c(c(x1)) -> x1 graph: b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> c#(a(b(x1))) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) -> a#(x1) -> b#(c(b(x1))) b#(b(c(x1))) -> a#(b(x1)) -> a#(x1) -> c#(b(x1)) b#(b(c(x1))) -> a#(b(x1)) -> a#(x1) -> b#(x1) a#(x1) -> b#(c(b(x1))) -> b#(b(c(x1))) -> c#(a(b(x1))) a#(x1) -> b#(c(b(x1))) -> b#(b(c(x1))) -> a#(b(x1)) a#(x1) -> b#(c(b(x1))) -> b#(b(c(x1))) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(b(x1))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(b(x1)) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) a#(x1) -> b#(x1) a#(x1) -> b#(c(b(x1))) TRS: a(x1) -> b(c(b(x1))) b(b(c(x1))) -> c(a(b(x1))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(b(x1))) b(b(c(x1))) -> c(a(b(x1))) c(c(x1)) -> x1 interpretation: [b#](x0) = [-& 0 ]x0 + [0], [a#](x0) = [-& 0 ]x0 + [0], [1 0 ] [1 ] [c](x0) = [0 -&]x0 + [-&], [-& 0 ] [0 ] [b](x0) = [0 -&]x0 + [-&], [-& 0 ] [0] [a](x0) = [0 1 ]x0 + [1] orientation: b#(b(c(x1))) = [1 0]x1 + [1] >= [-& 0 ]x1 + [0] = b#(x1) b#(b(c(x1))) = [1 0]x1 + [1] >= [0 -&]x1 + [0] = a#(b(x1)) a#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b#(x1) a#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b#(c(b(x1))) [-& 0 ] [0] [-& 0 ] [0] a(x1) = [0 1 ]x1 + [1] >= [0 1 ]x1 + [1] = b(c(b(x1))) [1 0 ] [1] [1 0 ] [1] b(b(c(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = c(a(b(x1))) [2 1] [2] c(c(x1)) = [1 0]x1 + [1] >= x1 = x1
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