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SRS Stand 10685 pair #381723477
details
property
value
status
complete
benchmark
size-12-alpha-3-num-91.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)
25.424654007 seconds
cpu usage
100.125237541
max memory
1.510006784E9
stage attributes
key
value
output-size
6214
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(b(c(x1))) c(x1) -> x1 c(b(x1)) -> b(c(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> c(b(b(x1))) c(x1) -> x1 b(c(x1)) -> a(c(b(x1))) DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) a#(a(x1)) -> c#(b(b(x1))) b#(c(x1)) -> b#(x1) b#(c(x1)) -> c#(b(x1)) b#(c(x1)) -> a#(c(b(x1))) TRS: a(x1) -> x1 a(a(x1)) -> c(b(b(x1))) c(x1) -> x1 b(c(x1)) -> a(c(b(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) a#(a(x1)) -> c#(b(b(x1))) b#(c(x1)) -> b#(x1) b#(c(x1)) -> c#(b(x1)) b#(c(x1)) -> a#(c(b(x1))) TRS: a(x1) -> x1 a(a(x1)) -> c(b(b(x1))) c(x1) -> x1 b(c(x1)) -> a(c(b(x1))) graph: b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(c(b(x1))) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> c#(b(x1)) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(c(b(x1))) -> a#(a(x1)) -> c#(b(b(x1))) b#(c(x1)) -> a#(c(b(x1))) -> a#(a(x1)) -> b#(b(x1)) b#(c(x1)) -> a#(c(b(x1))) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) -> b#(c(x1)) -> a#(c(b(x1))) a#(a(x1)) -> b#(b(x1)) -> b#(c(x1)) -> c#(b(x1)) a#(a(x1)) -> b#(b(x1)) -> b#(c(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(c(b(x1))) a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> c#(b(x1)) a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(c(b(x1))) a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) TRS: a(x1) -> x1 a(a(x1)) -> c(b(b(x1))) c(x1) -> x1 b(c(x1)) -> a(c(b(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> c(b(b(x1))) c(x1) -> x1 b(c(x1)) -> a(c(b(x1))) interpretation: [b#](x0) = [-& 2 ]x0 + [0], [a#](x0) = [-& 2 ]x0 + [0], [0 2 ] [b](x0) = [-& 0 ]x0, [0 2] [0] [c](x0) = [0 2]x0 + [0], [0 2] [0 ] [a](x0) = [0 0]x0 + [-&] orientation: b#(c(x1)) = [2 4]x1 + [2] >= [-& 2 ]x1 + [0] = b#(x1) b#(c(x1)) = [2 4]x1 + [2] >= [2 4]x1 + [2] = a#(c(b(x1))) a#(a(x1)) = [2 2]x1 + [0] >= [-& 2 ]x1 + [0] = b#(x1)
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