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SRS Stand 10685 pair #381720827
details
property
value
status
complete
benchmark
size-12-alpha-3-num-86.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.7890279293 seconds
cpu usage
101.608688452
max memory
1.330425856E9
stage attributes
key
value
output-size
6072
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(a(x1)) -> b(a(c(b(x1)))) b(x1) -> c(x1) b(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> b#(c(a(b(x1)))) b#(x1) -> c#(x1) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> b#(c(a(b(x1)))) b#(x1) -> c#(x1) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(c(a(b(x1)))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(a(b(x1))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(x1) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(c(a(b(x1)))) -> b#(x1) -> c#(x1) a#(a(x1)) -> b#(x1) -> b#(x1) -> c#(x1) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) interpretation: [c#](x0) = [-& 0 ]x0 + [0], [b#](x0) = [-& 1 ]x0 + [0], [a#](x0) = [0 0]x0 + [0], [-& 1 ] [0] [c](x0) = [-& 0 ]x0 + [0], [0 1] [0] [b](x0) = [0 1]x0 + [0], [1 2] [1] [a](x0) = [0 0]x0 + [0] orientation: a#(a(x1)) = [1 2]x1 + [1] >= [-& 1 ]x1 + [0] = b#(x1) a#(a(x1)) = [1 2]x1 + [1] >= [0 1]x1 + [0] = a#(b(x1)) a#(a(x1)) = [1 2]x1 + [1] >= [0 1]x1 + [0] = c#(a(b(x1))) a#(a(x1)) = [1 2]x1 + [1] >= [1 2]x1 + [1] = b#(c(a(b(x1)))) b#(x1) = [-& 1 ]x1 + [0] >= [-& 0 ]x1 + [0] = c#(x1) c#(b(x1)) = [0 1]x1 + [0] >= [0 0]x1 + [0] = a#(x1) [1 2] [1] a(x1) = [0 0]x1 + [0] >= x1 = x1 [2 3] [2] [1 2] [1] a(a(x1)) = [1 2]x1 + [1] >= [1 2]x1 + [1] = b(c(a(b(x1))))
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