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SRS Standard pair #487085252
details
property
value
status
complete
benchmark
size-12-alpha-3-num-462.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9481 seconds
cpu usage
172.207
user time
169.413
system time
2.79425
max virtual memory
1.1253524E7
max residence set size
101888.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(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))) -> a#(c(x1)) c#(c(b(x1))) -> c#(a(c(x1))) c#(c(b(x1))) -> b#(c(a(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(x1)))) TDG Processor: DPs: a#(x1) -> c#(x1) a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(x1)) c#(c(b(x1))) -> c#(a(c(x1))) c#(c(b(x1))) -> b#(c(a(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(x1)))) graph: c#(c(b(x1))) -> c#(a(c(x1))) -> c#(c(b(x1))) -> b#(c(a(c(x1)))) c#(c(b(x1))) -> c#(a(c(x1))) -> c#(c(b(x1))) -> c#(a(c(x1))) c#(c(b(x1))) -> c#(a(c(x1))) -> c#(c(b(x1))) -> a#(c(x1)) c#(c(b(x1))) -> c#(a(c(x1))) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> b#(c(a(c(x1)))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(a(c(x1))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(x1)) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> c#(x1) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> b#(c(a(c(x1)))) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> c#(a(c(x1))) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(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#(a(c(x1))) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(x1)) a#(x1) -> c#(x1) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(x1)))) interpretation: [c#](x0) = [2 0]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [1], [a#](x0) = [3 1]x0 + [2], [0 -&] [1] [a](x0) = [1 0 ]x0 + [2], [-& 0 ] [1] [b](x0) = [0 1 ]x0 + [2] orientation: c#(c(b(x1))) = [2 3]x1 + [4] >= [0 2]x1 + [3] = c#(a(c(x1))) c#(c(b(x1))) = [2 3]x1 + [4] >= [2 0]x1 + [0] = c#(x1) c#(c(b(x1))) = [2 3]x1 + [4] >= [1 3]x1 + [3] = a#(c(x1)) a#(x1) = [3 1]x1 + [2] >= [2 0]x1 + [0] = c#(x1) [0 -&] [1] [0 -&] [1] a(x1) = [1 0 ]x1 + [2] >= [1 0 ]x1 + [2] = b(c(x1)) [0 1] [2] b(b(x1)) = [1 2]x1 + [3] >= x1 = x1 [-& 0 ] [1] [-& 0 ] [1] c(c(b(x1))) = [0 1 ]x1 + [2] >= [0 1 ]x1 + [2] = b(c(a(c(x1)))) problem: DPs: c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(x1))
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