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SRS Stand 10685 pair #381719807
details
property
value
status
complete
benchmark
size-12-alpha-2-num-16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
23.1063830853 seconds
cpu usage
90.99242939
max memory
1.416339456E9
stage attributes
key
value
output-size
3375
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(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) graph: b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> a#(b(b(b(x1)))) -> a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> b#(b(b(x1))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> b#(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) interpretation: [b#](x0) = [2 0]x0, [a#](x0) = [0 1]x0 + [1], [0 -&] [-&] [b](x0) = [1 0 ]x0 + [0 ], [0 0] [0 ] [a](x0) = [1 0]x0 + [-&] orientation: a#(a(x1)) = [2 1]x1 + [1] >= [2 0]x1 = b#(x1) b#(a(b(x1))) = [3 2]x1 + [2] >= [2 0]x1 + [0] = b#(b(x1)) b#(a(b(x1))) = [3 2]x1 + [2] >= [2 0]x1 + [0] = b#(b(b(x1))) b#(a(b(x1))) = [3 2]x1 + [2] >= [2 1]x1 + [1] = a#(b(b(b(x1)))) b#(a(b(x1))) = [3 2]x1 + [2] >= [2 1]x1 + [1] = a#(a(b(b(b(x1))))) [0 0] [0 ] a(x1) = [1 0]x1 + [-&] >= x1 = x1 [1 0] [0] [0 -&] [-&] a(a(x1)) = [1 1]x1 + [1] >= [1 0 ]x1 + [0 ] = b(x1) [1 0] [0] [1 0] [0] b(a(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = a(a(b(b(b(x1))))) problem: DPs: a#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) Restore Modifier: DPs: a#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1)))))
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