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SRS Standard pair #487085462
details
property
value
status
complete
benchmark
size-12-alpha-3-num-337.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)
45.7668 seconds
cpu usage
179.245
user time
175.196
system time
4.04838
max virtual memory
1.182778E7
max residence set size
131736.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 Proof: DP Processor: DPs: a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) TRS: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 TDG Processor: DPs: a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) TRS: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 graph: a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(b(a(a(c(x1))))) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) -> a#(a(b(x1))) -> a#(b(a(a(c(x1))))) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) -> a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) -> a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) -> a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(b(a(a(c(x1))))) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> c#(x1) EDG Processor: DPs: a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(b(a(a(c(x1))))) TRS: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 graph: a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(c(x1)) -> a#(a(b(x1))) -> a#(b(a(a(c(x1))))) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> c#(x1) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(a(c(x1))) a#(a(b(x1))) -> a#(a(c(x1))) -> a#(a(b(x1))) -> a#(b(a(a(c(x1))))) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: a#(a(b(x1))) -> a#(c(x1)) a#(a(b(x1))) -> a#(a(c(x1))) TRS: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) a(a(b(x1))) -> a(b(a(a(c(x1))))) c(b(x1)) -> x1 interpretation: [-& 0 ] [1 ] [b](x0) = [0 -2]x0 + [-&], [a#](x0) = [-& 0 ]x0 + [0], [-& 0 ] [1 ] [a](x0) = [0 2 ]x0 + [-&], [0 0 ] [c](x0) = [0 -&]x0 orientation: a#(a(b(x1))) = [2 0]x1 + [1] >= [0 -&]x1 + [0] = a#(c(x1)) a#(a(b(x1))) = [2 0]x1 + [1] >= [2 0]x1 + [0] = a#(a(c(x1))) [-& 0 ] [1 ] [-& 0 ] [1 ] a(x1) = [0 2 ]x1 + [-&] >= [0 -2]x1 + [-&] = b(x1) [2 0] [1] [2 0] [1]
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