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SRS Standard pair #487084934
details
property
value
status
complete
benchmark
size-12-alpha-3-num-284.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)
42.4294 seconds
cpu usage
166.157
user time
163.544
system time
2.61274
max virtual memory
1.1827672E7
max residence set size
100348.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> c#(b(b(a(a(x1))))) b#(x1) -> c#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> c#(b(b(a(a(x1))))) b#(x1) -> c#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 graph: a#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) -> c#(x1) a#(b(x1)) -> b#(a(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 interpretation: [-& 0 ] [0] [b](x0) = [0 1 ]x0 + [0], [a#](x0) = [0 3]x0 + [0], [0 1 ] [a](x0) = [-& 0 ]x0, [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: a#(b(x1)) = [3 4]x1 + [3] >= [0 3]x1 + [0] = a#(a(x1)) a#(b(x1)) = [3 4]x1 + [3] >= [0 3]x1 + [0] = a#(x1) [0 1 ] a(x1) = [-& 0 ]x1 >= x1 = x1 [1 2] [1] [1 2] [1] a(b(x1)) = [0 1]x1 + [0] >= [0 1]x1 + [0] = c(b(b(a(a(x1))))) [-& 0 ] [0] [-& 0 ] [0] b(x1) = [0 1 ]x1 + [0] >= [0 -&]x1 + [0] = c(x1) [0] c(c(x1)) = x1 + [0] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1)))))
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