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SRS Standard pair #487084580
details
property
value
status
complete
benchmark
size-12-alpha-3-num-57.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.7469 seconds
cpu usage
175.2
user time
171.737
system time
3.46349
max virtual memory
1.1633452E7
max residence set size
160492.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(a(b(c(a(x1)))))) c(b(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) DP Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) graph: b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(b(a(x1)))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(b(a(x1)))) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) -> a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) -> a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) -> a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) -> a#(a(x1)) -> b#(a(x1)) EDG Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) graph: b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(b(a(x1)))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) a#(a(x1)) -> b#(a(b(a(x1)))) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(c(b(a(b(a(x1)))))) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/25 DPs: b#(c(x1)) -> a#(x1) a#(a(x1)) -> b#(a(b(a(x1)))) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> a(c(b(a(b(a(x1)))))) b(c(x1)) -> a(x1) interpretation: [b#](x0) = [-& 0 ]x0 + [0], [-& -&] [0] [c](x0) = [2 2 ]x0 + [3], [a#](x0) = [-& 2 ]x0 + [3],
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