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SRS Standard pair #487083908
details
property
value
status
complete
benchmark
size-12-alpha-3-num-461.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.4524 seconds
cpu usage
170.225
user time
167.451
system time
2.77381
max virtual memory
1.182868E7
max residence set size
116320.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(b(c(c(x1)))) Proof: DP Processor: DPs: a#(x1) -> c#(x1) a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> b#(c(c(x1))) c#(c(b(x1))) -> a#(b(c(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(b(c(c(x1)))) TDG Processor: DPs: a#(x1) -> c#(x1) a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> b#(c(c(x1))) c#(c(b(x1))) -> a#(b(c(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(b(c(c(x1)))) graph: c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(b(c(c(x1)))) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> b#(c(c(x1))) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(b(c(c(x1)))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> b#(c(c(x1))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(b(c(c(x1)))) -> a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> a#(b(c(c(x1)))) -> a#(x1) -> c#(x1) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(b(c(c(x1)))) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> b#(c(c(x1))) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1)) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 14/36 DPs: c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(b(c(c(x1)))) a#(x1) -> c#(x1) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(b(c(c(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(b(c(c(x1)))) interpretation: [c#](x0) = [1 0]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [a#](x0) = [1 0]x0 + [0], [0 -&] [0] [a](x0) = [3 0 ]x0 + [3], [-& 0 ] [0] [b](x0) = [0 3 ]x0 + [3] orientation: c#(c(b(x1))) = [1 4]x1 + [4] >= [0 1]x1 + [1] = c#(c(x1)) c#(c(b(x1))) = [1 4]x1 + [4] >= [1 0]x1 + [0] = c#(x1) c#(c(b(x1))) = [1 4]x1 + [4] >= [0 3]x1 + [3] = a#(b(c(c(x1)))) a#(x1) = [1 0]x1 + [0] >= [1 0]x1 + [0] = c#(x1) [0 -&] [0] [0 -&] [0] a(x1) = [3 0 ]x1 + [3] >= [3 0 ]x1 + [3] = b(c(x1)) [0 3] [3] b(b(x1)) = [3 6]x1 + [6] >= x1 = x1 [-& 0 ] [0] [-& 0 ] [0] c(c(b(x1))) = [0 3 ]x1 + [3] >= [0 3 ]x1 + [3] = a(b(c(c(x1)))) problem: DPs: c#(c(b(x1))) -> c#(x1) a#(x1) -> c#(x1)
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