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SRS_Standard 2019-03-29 03.29 pair #432289854
details
property
value
status
complete
benchmark
size-12-alpha-3-num-71.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n040.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.1521 seconds
cpu usage
169.012
user time
165.354
system time
3.65801
max virtual memory
7075964.0
max residence set size
100956.0
stage attributes
key
value
starexec-result
YES
output
168.82/43.14 YES 168.98/43.14 168.98/43.14 Problem: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 b(c(x1)) -> c(c(c(b(a(x1))))) 168.98/43.14 168.98/43.14 Proof: 168.98/43.14 String Reversal Processor: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 c(b(x1)) -> a(b(c(c(c(x1))))) 168.98/43.14 DP Processor: 168.98/43.14 DPs: 168.98/43.14 a#(a(x1)) -> b#(x1) 168.98/43.14 c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> b#(c(c(c(x1)))) 168.98/43.14 c#(b(x1)) -> a#(b(c(c(c(x1))))) 168.98/43.14 TRS: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 c(b(x1)) -> a(b(c(c(c(x1))))) 168.98/43.14 TDG Processor: 168.98/43.14 DPs: 168.98/43.14 a#(a(x1)) -> b#(x1) 168.98/43.14 c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> b#(c(c(c(x1)))) 168.98/43.14 c#(b(x1)) -> a#(b(c(c(c(x1))))) 168.98/43.14 TRS: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 c(b(x1)) -> a(b(c(c(c(x1))))) 168.98/43.14 graph: 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> b#(c(c(c(x1)))) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(c(x1)) 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(c(c(c(x1)))) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) 168.98/43.14 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(c(c(x1)))) 168.98/43.14 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) 168.98/43.14 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> a#(b(c(c(c(x1))))) -> a#(a(x1)) -> b#(x1) 168.98/43.14 SCC Processor: 168.98/43.14 #sccs: 1 168.98/43.14 #rules: 3 168.98/43.14 #arcs: 16/36 168.98/43.14 DPs: 168.98/43.14 c#(b(x1)) -> c#(c(c(x1))) 168.98/43.14 c#(b(x1)) -> c#(x1) 168.98/43.14 c#(b(x1)) -> c#(c(x1)) 168.98/43.14 TRS: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 c(b(x1)) -> a(b(c(c(c(x1))))) 168.98/43.14 Arctic Interpretation Processor: 168.98/43.14 dimension: 2 168.98/43.14 usable rules: 168.98/43.14 a(x1) -> x1 168.98/43.14 a(a(x1)) -> b(x1) 168.98/43.14 b(x1) -> x1 168.98/43.14 c(b(x1)) -> a(b(c(c(c(x1))))) 168.98/43.14 interpretation: 168.98/43.14 [c#](x0) = [0 0]x0, 168.98/43.14 168.98/43.14 [0 0] 168.98/43.14 [c](x0) = [0 0]x0, 168.98/43.14 168.98/43.14 [1 1] [2] 168.98/43.14 [b](x0) = [0 0]x0 + [1], 168.98/43.14 168.98/43.14 [0 1] [2] 168.98/43.14 [a](x0) = [0 0]x0 + [0] 168.98/43.14 orientation: 168.98/43.14 c#(b(x1)) = [1 1]x1 + [2] >= [0 0]x1 = c#(c(c(x1))) 168.98/43.14 168.98/43.14 c#(b(x1)) = [1 1]x1 + [2] >= [0 0]x1 = c#(x1) 168.98/43.14 168.98/43.14 c#(b(x1)) = [1 1]x1 + [2] >= [0 0]x1 = c#(c(x1)) 168.98/43.14 168.98/43.14 [0 1] [2] 168.98/43.14 a(x1) = [0 0]x1 + [0] >= x1 = x1 168.98/43.14 168.98/43.14 [1 1] [2] [1 1] [2] 168.98/43.14 a(a(x1)) = [0 1]x1 + [2] >= [0 0]x1 + [1] = b(x1)
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