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SRS Stand 10685 pair #381720447
details
property
value
status
complete
benchmark
size-12-alpha-3-num-226.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n100.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
26.3635299206 seconds
cpu usage
104.03198464
max memory
1.532329984E9
stage attributes
key
value
output-size
6331
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(x1)) -> b(c(x1)) b(x1) -> x1 c(c(x1)) -> a(c(b(a(x1)))) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) graph: c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(b(c(a(x1)))) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(x1) c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(b(c(a(x1)))) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> b#(c(a(x1))) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> c#(a(x1)) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) interpretation: [c#](x0) = [-& 2 ]x0 + [0], [b#](x0) = [0 2]x0 + [0], [-& 2 ] [0] [c](x0) = [-& 2 ]x0 + [3], [0 0] [2] [b](x0) = [0 0]x0 + [0], [2 2 ] [3] [a](x0) = [-& 0 ]x0 + [1] orientation: c#(c(x1)) = [-& 4 ]x1 + [5] >= [-& 2 ]x1 + [3] = c#(a(x1)) c#(c(x1)) = [-& 4 ]x1 + [5] >= [-& 4 ]x1 + [5] = b#(c(a(x1))) b#(a(x1)) = [2 2]x1 + [3] >= [0 2]x1 + [0] = b#(x1)
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