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SRS Stand 10685 pair #381717487
details
property
value
status
complete
benchmark
size-12-alpha-3-num-487.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
28.041079998 seconds
cpu usage
110.700562691
max memory
1.501577216E9
stage attributes
key
value
output-size
8132
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) a(b(x1)) -> c(a(x1)) b(c(x1)) -> c(b(a(x1))) Proof: String Reversal Processor: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(c(x1)) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) interpretation: [c#](x0) = [0 3]x0, [b#](x0) = [0 3]x0 + [0], [a#](x0) = [0 3]x0 + [0], [0 0] [0] [c](x0) = [0 0]x0 + [0], [0 0] [0] [b](x0) = [1 1]x0 + [2], [-& 0 ] [0] [a](x0) = [1 0 ]x0 + [2] orientation: a#(a(x1)) = [4 3]x1 + [5] >= [0 3]x1 + [0] = b#(x1) b#(a(x1)) = [4 3]x1 + [5] >= [0 3]x1 = c#(x1) b#(a(x1)) = [4 3]x1 + [5] >= [3 3]x1 + [3] = a#(c(x1)) c#(b(x1)) = [4 4]x1 + [5] >= [0 3]x1 = c#(x1) c#(b(x1)) = [4 4]x1 + [5] >= [3 3]x1 + [3] = b#(c(x1)) c#(b(x1)) = [4 4]x1 + [5] >= [4 4]x1 + [5] = a#(b(c(x1))) [1 0] [2] [0 0] [0] a(a(x1)) = [1 1]x1 + [2] >= [1 1]x1 + [2] = b(x1) [1 0] [2] [0 0] [0] b(a(x1)) = [2 1]x1 + [3] >= [1 1]x1 + [2] = a(c(x1)) [1 1] [2] [1 1] [2] c(b(x1)) = [1 1]x1 + [2] >= [1 1]x1 + [2] = a(b(c(x1))) problem: DPs: a#(a(x1)) -> b#(x1)
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