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SRS_Standard 2019-03-29 03.29 pair #432290556
details
property
value
status
complete
benchmark
size-12-alpha-3-num-213.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.1248 seconds
cpu usage
168.999
user time
165.865
system time
3.13372
max virtual memory
7618276.0
max residence set size
88840.0
stage attributes
key
value
starexec-result
YES
output
168.96/43.11 YES 168.96/43.12 168.96/43.12 Problem: 168.96/43.12 a(x1) -> x1 168.96/43.12 a(b(x1)) -> b(b(b(a(a(c(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 168.96/43.12 Proof: 168.96/43.12 String Reversal Processor: 168.96/43.12 a(x1) -> x1 168.96/43.12 b(a(x1)) -> c(a(a(b(b(b(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 DP Processor: 168.96/43.12 DPs: 168.96/43.12 b#(a(x1)) -> b#(x1) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> a#(b(b(b(x1)))) 168.96/43.12 b#(a(x1)) -> a#(a(b(b(b(x1))))) 168.96/43.12 b#(a(x1)) -> c#(a(a(b(b(b(x1)))))) 168.96/43.12 TRS: 168.96/43.12 a(x1) -> x1 168.96/43.12 b(a(x1)) -> c(a(a(b(b(b(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 TDG Processor: 168.96/43.12 DPs: 168.96/43.12 b#(a(x1)) -> b#(x1) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> a#(b(b(b(x1)))) 168.96/43.12 b#(a(x1)) -> a#(a(b(b(b(x1))))) 168.96/43.12 b#(a(x1)) -> c#(a(a(b(b(b(x1)))))) 168.96/43.12 TRS: 168.96/43.12 a(x1) -> x1 168.96/43.12 b(a(x1)) -> c(a(a(b(b(b(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 graph: 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> c#(a(a(b(b(b(x1)))))) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> a#(a(b(b(b(x1))))) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> a#(b(b(b(x1)))) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(b(x1)) 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(x1) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(b(x1)))))) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(b(b(b(x1))))) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(b(x1)))) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(a(b(b(b(x1)))))) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(b(b(x1))))) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(b(x1)))) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 168.96/43.12 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 168.96/43.12 SCC Processor: 168.96/43.12 #sccs: 1 168.96/43.12 #rules: 3 168.96/43.12 #arcs: 18/36 168.96/43.12 DPs: 168.96/43.12 b#(a(x1)) -> b#(b(b(x1))) 168.96/43.12 b#(a(x1)) -> b#(x1) 168.96/43.12 b#(a(x1)) -> b#(b(x1)) 168.96/43.12 TRS: 168.96/43.12 a(x1) -> x1 168.96/43.12 b(a(x1)) -> c(a(a(b(b(b(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 Arctic Interpretation Processor: 168.96/43.12 dimension: 2 168.96/43.12 usable rules: 168.96/43.12 a(x1) -> x1 168.96/43.12 b(a(x1)) -> c(a(a(b(b(b(x1)))))) 168.96/43.12 b(x1) -> x1 168.96/43.12 c(c(x1)) -> x1 168.96/43.12 interpretation: 168.96/43.12 [b#](x0) = [-& 0 ]x0 + [1], 168.96/43.12 168.96/43.12 [0 0 ] [0] 168.96/43.12 [c](x0) = [0 -&]x0 + [1], 168.96/43.12 168.96/43.12 [0 1 ] [0] 168.96/43.12 [b](x0) = [-& 0 ]x0 + [0], 168.96/43.12 168.96/43.12 [0 0] [0] 168.96/43.12 [a](x0) = [0 1]x0 + [2] 168.96/43.12 orientation: 168.96/43.12 b#(a(x1)) = [0 1]x1 + [2] >= [-& 0 ]x1 + [1] = b#(b(b(x1))) 168.96/43.12 168.96/43.12 b#(a(x1)) = [0 1]x1 + [2] >= [-& 0 ]x1 + [1] = b#(x1) 168.96/43.12 168.96/43.12 b#(a(x1)) = [0 1]x1 + [2] >= [-& 0 ]x1 + [1] = b#(b(x1)) 168.96/43.12 168.96/43.12 [0 0] [0] 168.96/43.12 a(x1) = [0 1]x1 + [2] >= x1 = x1 168.96/43.12
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