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SRS Standard pair #487084520
details
property
value
status
complete
benchmark
size-12-alpha-3-num-460.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.0574 seconds
cpu usage
175.882
user time
172.867
system time
3.01473
max virtual memory
1.0964796E7
max residence set size
112400.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(a(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))) -> a#(a(c(x1))) c#(c(b(x1))) -> a#(a(a(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(a(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))) -> a#(a(c(x1))) c#(c(b(x1))) -> a#(a(a(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(a(a(c(x1)))) graph: c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(a(a(c(x1)))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(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) c#(c(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> c#(x1) c#(c(b(x1))) -> a#(a(a(c(x1)))) -> a#(x1) -> b#(c(x1)) c#(c(b(x1))) -> a#(a(a(c(x1)))) -> a#(x1) -> c#(x1) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(a(a(c(x1)))) a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(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: 5 #arcs: 14/36 DPs: c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(x1)) a#(x1) -> c#(x1) c#(c(b(x1))) -> a#(a(c(x1))) c#(c(b(x1))) -> a#(a(a(c(x1)))) TRS: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(a(a(c(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) b(b(x1)) -> x1 c(c(b(x1))) -> a(a(a(c(x1)))) interpretation: [c#](x0) = [0 1]x0 + [0], [-& 0 ] [0 ] [c](x0) = [0 -&]x0 + [-&], [a#](x0) = [0 1]x0 + [1], [0 1 ] [1] [a](x0) = [-& 0 ]x0 + [0], [1 0 ] [1 ] [b](x0) = [0 -&]x0 + [-&] orientation: c#(c(b(x1))) = [2 1]x1 + [2] >= [0 1]x1 + [0] = c#(x1) c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(c(x1)) a#(x1) = [0 1]x1 + [1] >= [0 1]x1 + [0] = c#(x1) c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(c(x1))) c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(a(c(x1)))) [0 1 ] [1] [0 1 ] [1] a(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b(c(x1)) [2 1] [2] b(b(x1)) = [1 0]x1 + [1] >= x1 = x1 [1 0 ] [1] [1 0 ] [1] c(c(b(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = a(a(a(c(x1)))) problem:
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