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SRS Stand 10685 pair #381722597
details
property
value
status
complete
benchmark
size-12-alpha-3-num-301.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.2128019333 seconds
cpu usage
99.351146502
max memory
1.466179584E9
stage attributes
key
value
output-size
4751
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(b(x1))) -> b(b(b(c(a(x1))))) b(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> a#(c(b(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> a#(c(b(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) graph: b#(b(a(x1))) -> c#(b(b(b(x1)))) -> c#(b(x1)) -> a#(x1) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 16/36 DPs: b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) interpretation: [b#](x0) = [0 1]x0 + [2], [1 0 ] [3] [c](x0) = [0 -&]x0 + [0], [-& 0 ] [1] [b](x0) = [0 -&]x0 + [0], [0 1 ] [3] [a](x0) = [-& 0 ]x0 + [1] orientation: b#(b(a(x1))) = [1 2]x1 + [4] >= [0 1]x1 + [2] = b#(b(b(x1))) b#(b(a(x1))) = [1 2]x1 + [4] >= [0 1]x1 + [2] = b#(x1) b#(b(a(x1))) = [1 2]x1 + [4] >= [1 0]x1 + [2] = b#(b(x1)) [0 1 ] [3] a(x1) = [-& 0 ]x1 + [1] >= x1 = x1 [0 1 ] [3] [0 1 ] [3] b(b(a(x1))) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = a(c(b(b(b(x1)))))
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