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SRS Standard pair #487084826
details
property
value
status
complete
benchmark
size-12-alpha-3-num-532.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.4161 seconds
cpu usage
166.0
user time
163.036
system time
2.96402
max virtual memory
1.1259148E7
max residence set size
116380.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(b(x1))) -> c(x1) a(c(x1)) -> b(c(a(a(x1)))) b(c(x1)) -> x1 Proof: String Reversal Processor: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 DP Processor: DPs: b#(a(a(x1))) -> c#(x1) c#(a(x1)) -> b#(x1) c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 TDG Processor: DPs: b#(a(a(x1))) -> c#(x1) c#(a(x1)) -> b#(x1) c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 graph: c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(x1) c#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(b(x1)) b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 interpretation: [c#](x0) = -4x0 + 2, [a](x0) = 1x0 + 5, [b#](x0) = -4x0 + 0, [b](x0) = -1x0 + 3, [c](x0) = 1x0 + 0 orientation: b#(a(a(x1))) = -2x1 + 2 >= -4x1 + 2 = c#(x1) c#(a(x1)) = -3x1 + 2 >= -4x1 + 0 = b#(x1) c#(a(x1)) = -3x1 + 2 >= -5x1 + 2 = c#(b(x1)) b(a(a(x1))) = 1x1 + 5 >= 1x1 + 0 = c(x1) c(a(x1)) = 2x1 + 6 >= 2x1 + 6 = a(a(c(b(x1)))) c(b(x1)) = x1 + 4 >= x1 = x1 problem: DPs: b#(a(a(x1))) -> c#(x1) c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 Restore Modifier: DPs: b#(a(a(x1))) -> c#(x1) c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 EDG Processor: DPs: b#(a(a(x1))) -> c#(x1) c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1)))) c(b(x1)) -> x1 graph: c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(b(x1)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: c#(a(x1)) -> c#(b(x1)) TRS: b(a(a(x1))) -> c(x1) c(a(x1)) -> a(a(c(b(x1))))
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