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SRS Standard pair #487085420
details
property
value
status
complete
benchmark
size-12-alpha-3-num-499.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)
45.1824 seconds
cpu usage
176.891
user time
173.315
system time
3.57564
max virtual memory
1.1635E7
max residence set size
116508.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(a(c(b(x1)))) b(b(x1)) -> a(a(x1)) c(a(x1)) -> x1 Proof: String Reversal Processor: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 graph: b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(x1)) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(x1) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(x1)) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(c(a(b(x1)))) -> b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(c(a(b(x1)))) -> b#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) EDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 graph: b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(x1) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(x1)) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(x1)) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(c(a(b(x1)))) a#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) SCC Processor: #sccs: 1 #rules: 4 #arcs: 11/25 DPs: b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> b#(x1) b#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 1 usable rules: a(a(x1)) -> b(c(a(b(x1)))) b(b(x1)) -> a(a(x1)) a(c(x1)) -> x1 interpretation: [b#](x0) = x0 + -16, [b](x0) = 4x0 + 4, [a#](x0) = -2x0 + 0, [a](x0) = 4x0 + 4, [c](x0) = -4x0 + 0
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