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SRS Standard pair #487085222
details
property
value
status
complete
benchmark
size-12-alpha-3-num-541.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)
42.127 seconds
cpu usage
164.597
user time
161.711
system time
2.88605
max virtual memory
1.1641244E7
max residence set size
89600.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(x1)) -> x1 a(b(x1)) -> b(c(x1)) a(c(x1)) -> c(b(a(a(x1)))) Proof: String Reversal Processor: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(c(x1)) TRS: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(c(x1)) TRS: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) graph: c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(c(x1)) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(b(x1)) c#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(c(x1)) b#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) interpretation: [c#](x0) = x0 + 0, [a](x0) = 1x0 + 3, [b#](x0) = x0 + -16, [b](x0) = -1x0 + 0, [c](x0) = 1x0 + -16 orientation: b#(a(x1)) = 1x1 + 3 >= x1 + -16 = b#(x1) b#(a(x1)) = 1x1 + 3 >= -1x1 + 0 = c#(b(x1)) c#(a(x1)) = 1x1 + 3 >= x1 + 0 = c#(x1) c#(a(x1)) = 1x1 + 3 >= 1x1 + -16 = b#(c(x1)) b(a(x1)) = x1 + 2 >= x1 = x1 b(a(x1)) = x1 + 2 >= x1 + 1 = c(b(x1)) c(a(x1)) = 2x1 + 4 >= 2x1 + 4 = a(a(b(c(x1)))) problem: DPs: c#(a(x1)) -> b#(c(x1)) TRS: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) Restore Modifier: DPs: c#(a(x1)) -> b#(c(x1)) TRS: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) EDG Processor: DPs: c#(a(x1)) -> b#(c(x1)) TRS: b(a(x1)) -> x1 b(a(x1)) -> c(b(x1)) c(a(x1)) -> a(a(b(c(x1)))) graph: SCC Processor: #sccs: 0 #rules: 0 #arcs: 0/1
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