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SRS Stand 10685 pair #381719227
details
property
value
status
complete
benchmark
size-12-alpha-3-num-495.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
32.9500341415 seconds
cpu usage
129.957438553
max memory
1.716535296E9
stage attributes
key
value
output-size
6580
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(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> b#(c(c(a(x1)))) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> b#(c(c(a(x1)))) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) graph: c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> b#(c(c(a(x1)))) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> b#(c(c(a(x1)))) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> a#(x1) c#(b(x1)) -> b#(c(c(a(x1)))) -> b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(x1) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(a(x1)) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Arctic Interpretation Processor: dimension: 3 usable rules: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) interpretation: [c#](x0) = [0 -& 0 ]x0 + [0], [-& 0 -&] [0] [c](x0) = [0 -& 0 ]x0 + [0] [-& 0 1 ] [0], [0 -& -&] [0] [b](x0) = [1 0 -&]x0 + [0] [0 1 0 ] [1], [-& 0 -&] [0] [a](x0) = [0 1 0 ]x0 + [1] [-& 0 -&] [0] orientation: c#(b(x1)) = [0 1 0]x1 + [1] >= [0 1 0]x1 + [1] = c#(c(a(x1))) c#(b(x1)) = [0 1 0]x1 + [1] >= [-& 0 -&]x1 + [0] = c#(a(x1)) [0 1 0] [1] [0 -& -&] [0] a(a(x1)) = [1 2 1]x1 + [2] >= [1 0 -&]x1 + [0] = b(x1) [0 1 0] [1] [0 1 0 ] [1] [-& 0 -&] [0] [-& 0 -&] [0] b(c(x1)) = [0 1 0 ]x1 + [1] >= [0 1 0 ]x1 + [1] = a(x1) [1 0 1 ] [1] [-& 0 -&] [0] [1 0 -&] [0] [-& 0 -&] [0] c(b(x1)) = [0 1 0 ]x1 + [1] >= [0 1 0 ]x1 + [1] = b(c(c(a(x1)))) [1 2 1 ] [2] [1 2 1 ] [2] problem: DPs:
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