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SRS Standard pair #487084154
details
property
value
status
complete
benchmark
size-12-alpha-3-num-476.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
46.4194 seconds
cpu usage
181.44
user time
177.636
system time
3.80428
max virtual memory
1.143974E7
max residence set size
101948.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(b(a(c(c(x1))))) c#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(b(a(c(c(x1))))) c#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(c(c(x1))))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(c(x1))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> a#(b(a(c(c(x1))))) a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(b(a(c(c(x1))))) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(x1) EDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(b(a(c(c(x1))))) c#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(c(x1))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(c(c(x1))))) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(b(a(c(c(x1))))) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/25 DPs: c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(c(c(x1))) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> c#(x1) TRS: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> a(b(a(c(c(x1))))) c(a(x1)) -> x1 c(b(x1)) -> a(x1) interpretation: [c#](x0) = [0 1]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [a#](x0) = [0 1]x0, [-& 0 ] [0] [a](x0) = [0 1 ]x0 + [1], [0 1] [2] [b](x0) = [0 0]x0 + [0]
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