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SRS Standard pair #487085480
details
property
value
status
complete
benchmark
size-12-alpha-3-num-565.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
41.5009 seconds
cpu usage
162.632
user time
160.143
system time
2.48935
max virtual memory
1.1833148E7
max residence set size
102036.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) Proof: DP Processor: DPs: a#(c(x1)) -> b#(c(x1)) b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(b(x1)) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) TDG Processor: DPs: a#(c(x1)) -> b#(c(x1)) b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(b(x1)) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) graph: b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(b(x1)) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(b(x1)) -> a#(c(x1)) -> b#(c(x1)) a#(c(x1)) -> b#(c(x1)) -> b#(c(x1)) -> a#(b(x1)) a#(c(x1)) -> b#(c(x1)) -> b#(c(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) interpretation: [b#](x0) = x0 + 5, [a](x0) = 1x0 + 0, [a#](x0) = x0 + 0, [b](x0) = -1x0 + 0, [c](x0) = 1x0 + 5 orientation: a#(c(x1)) = 1x1 + 5 >= 1x1 + 5 = b#(c(x1)) b#(c(x1)) = 1x1 + 5 >= x1 + 5 = b#(x1) b#(c(x1)) = 1x1 + 5 >= -1x1 + 0 = a#(b(x1)) a(b(x1)) = x1 + 1 >= x1 = x1 a(c(x1)) = 2x1 + 6 >= 2x1 + 6 = c(c(b(c(x1)))) b(c(x1)) = x1 + 4 >= x1 + 1 = a(b(x1)) problem: DPs: a#(c(x1)) -> b#(c(x1)) b#(c(x1)) -> b#(x1) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) Restore Modifier: DPs: a#(c(x1)) -> b#(c(x1)) b#(c(x1)) -> b#(x1) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) EDG Processor: DPs: a#(c(x1)) -> b#(c(x1)) b#(c(x1)) -> b#(x1) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) graph: b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> b#(x1) a#(c(x1)) -> b#(c(x1)) -> b#(c(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: b#(c(x1)) -> b#(x1) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(b(c(x1)))) b(c(x1)) -> a(b(x1)) Usable Rule Processor: DPs: b#(c(x1)) -> b#(x1)
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