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SRS_Standard 2019-03-29 03.29 pair #432289896
details
property
value
status
complete
benchmark
size-12-alpha-3-num-191.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n110.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.3115 seconds
cpu usage
169.672
user time
166.406
system time
3.26638
max virtual memory
6977568.0
max residence set size
90892.0
stage attributes
key
value
starexec-result
YES
output
169.45/43.30 YES 169.45/43.30 169.45/43.30 Problem: 169.45/43.30 a(x1) -> x1 169.45/43.30 a(b(x1)) -> b(b(a(a(c(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 169.45/43.30 Proof: 169.45/43.30 String Reversal Processor: 169.45/43.30 a(x1) -> x1 169.45/43.30 b(a(x1)) -> c(a(a(b(b(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 DP Processor: 169.45/43.30 DPs: 169.45/43.30 b#(a(x1)) -> b#(x1) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) 169.45/43.30 b#(a(x1)) -> a#(b(b(x1))) 169.45/43.30 b#(a(x1)) -> a#(a(b(b(x1)))) 169.45/43.30 b#(a(x1)) -> c#(a(a(b(b(x1))))) 169.45/43.30 TRS: 169.45/43.30 a(x1) -> x1 169.45/43.30 b(a(x1)) -> c(a(a(b(b(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 TDG Processor: 169.45/43.30 DPs: 169.45/43.30 b#(a(x1)) -> b#(x1) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) 169.45/43.30 b#(a(x1)) -> a#(b(b(x1))) 169.45/43.30 b#(a(x1)) -> a#(a(b(b(x1)))) 169.45/43.30 b#(a(x1)) -> c#(a(a(b(b(x1))))) 169.45/43.30 TRS: 169.45/43.30 a(x1) -> x1 169.45/43.30 b(a(x1)) -> c(a(a(b(b(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 graph: 169.45/43.30 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(b(b(x1)))) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 169.45/43.30 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 169.45/43.30 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 169.45/43.30 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(b(x1)))) 169.45/43.30 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) 169.45/43.30 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 169.45/43.30 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 169.45/43.30 SCC Processor: 169.45/43.30 #sccs: 1 169.45/43.30 #rules: 2 169.45/43.30 #arcs: 10/25 169.45/43.30 DPs: 169.45/43.30 b#(a(x1)) -> b#(b(x1)) 169.45/43.30 b#(a(x1)) -> b#(x1) 169.45/43.30 TRS: 169.45/43.30 a(x1) -> x1 169.45/43.30 b(a(x1)) -> c(a(a(b(b(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 Arctic Interpretation Processor: 169.45/43.30 dimension: 2 169.45/43.30 usable rules: 169.45/43.30 a(x1) -> x1 169.45/43.30 b(a(x1)) -> c(a(a(b(b(x1))))) 169.45/43.30 b(x1) -> x1 169.45/43.30 c(b(c(x1))) -> x1 169.45/43.30 interpretation: 169.45/43.30 [b#](x0) = [0 2]x0 + [2], 169.45/43.30 169.45/43.30 [0 0 ] [0] 169.45/43.30 [c](x0) = [0 -&]x0 + [0], 169.45/43.30 169.45/43.30 [0 1 ] 169.45/43.30 [b](x0) = [-& 0 ]x0, 169.45/43.30 169.45/43.30 [0 0] [-&] 169.45/43.30 [a](x0) = [0 1]x0 + [2 ] 169.45/43.30 orientation: 169.45/43.30 b#(a(x1)) = [2 3]x1 + [4] >= [0 2]x1 + [2] = b#(b(x1)) 169.45/43.30 169.45/43.30 b#(a(x1)) = [2 3]x1 + [4] >= [0 2]x1 + [2] = b#(x1) 169.45/43.30 169.45/43.30 [0 0] [-&] 169.45/43.30 a(x1) = [0 1]x1 + [2 ] >= x1 = x1 169.45/43.30 169.45/43.30 [1 2] [3] [1 2] [3] 169.45/43.30 b(a(x1)) = [0 1]x1 + [2] >= [0 1]x1 + [2] = c(a(a(b(b(x1))))) 169.45/43.30 169.45/43.30 [0 1 ] 169.45/43.30 b(x1) = [-& 0 ]x1 >= x1 = x1 169.45/43.30 169.45/43.30 [1 0] [1] 169.45/43.30 c(b(c(x1))) = [1 0]x1 + [1] >= x1 = x1 169.45/43.30 problem: 169.45/43.30 DPs: 169.45/43.30 169.45/43.30 TRS: 169.45/43.30 a(x1) -> x1
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