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SRS_Standard 2019-03-29 03.29 pair #432291198
details
property
value
status
complete
benchmark
size-12-alpha-2-num-2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.1795 seconds
cpu usage
172.892
user time
169.298
system time
3.59434
max virtual memory
7180032.0
max residence set size
100948.0
stage attributes
key
value
starexec-result
YES
output
172.83/44.16 YES 172.83/44.17 172.83/44.17 Problem: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 a(b(x1)) -> x1 172.83/44.17 a(b(b(x1))) -> b(b(a(b(a(x1))))) 172.83/44.17 172.83/44.17 Proof: 172.83/44.17 String Reversal Processor: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1))))) 172.83/44.17 DP Processor: 172.83/44.17 DPs: 172.83/44.17 b#(b(a(x1))) -> b#(x1) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> a#(b(b(x1))) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 b#(b(a(x1))) -> a#(b(a(b(b(x1))))) 172.83/44.17 TRS: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1))))) 172.83/44.17 TDG Processor: 172.83/44.17 DPs: 172.83/44.17 b#(b(a(x1))) -> b#(x1) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> a#(b(b(x1))) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 b#(b(a(x1))) -> a#(b(a(b(b(x1))))) 172.83/44.17 TRS: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1))))) 172.83/44.17 graph: 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(b(x1))) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) -> 172.83/44.17 b#(b(a(x1))) -> a#(b(a(b(b(x1))))) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) -> 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(b(x1))) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(x1) 172.83/44.17 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) 172.83/44.17 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(b(x1))) 172.83/44.17 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) 172.83/44.17 SCC Processor: 172.83/44.17 #sccs: 1 172.83/44.17 #rules: 3 172.83/44.17 #arcs: 15/25 172.83/44.17 DPs: 172.83/44.17 b#(b(a(x1))) -> b#(b(x1)) 172.83/44.17 b#(b(a(x1))) -> b#(x1) 172.83/44.17 b#(b(a(x1))) -> b#(a(b(b(x1)))) 172.83/44.17 TRS: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1))))) 172.83/44.17 Arctic Interpretation Processor: 172.83/44.17 dimension: 2 172.83/44.17 usable rules: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1))))) 172.83/44.17 interpretation: 172.83/44.17 [b#](x0) = [-& 0 ]x0 + [0], 172.83/44.17 172.83/44.17 [-& 0 ] [0] 172.83/44.17 [b](x0) = [0 -&]x0 + [0], 172.83/44.17 172.83/44.17 [1 0 ] [2 ] 172.83/44.17 [a](x0) = [0 -&]x0 + [-&] 172.83/44.17 orientation: 172.83/44.17 b#(b(a(x1))) = [1 0]x1 + [2] >= [0 -&]x1 + [0] = b#(b(x1)) 172.83/44.17 172.83/44.17 b#(b(a(x1))) = [1 0]x1 + [2] >= [-& 0 ]x1 + [0] = b#(x1) 172.83/44.17 172.83/44.17 b#(b(a(x1))) = [1 0]x1 + [2] >= [0 -&]x1 + [0] = b#(a(b(b(x1)))) 172.83/44.17 172.83/44.17 [2 1] [3] 172.83/44.17 a(a(x1)) = [1 0]x1 + [2] >= x1 = x1 172.83/44.17 172.83/44.17 [0 -&] [0] 172.83/44.17 b(a(x1)) = [1 0 ]x1 + [2] >= x1 = x1 172.83/44.17 172.83/44.17 [1 0 ] [2] [1 0 ] [2] 172.83/44.17 b(b(a(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = a(b(a(b(b(x1))))) 172.83/44.17 problem: 172.83/44.17 DPs: 172.83/44.17 b#(b(a(x1))) -> b#(x1) 172.83/44.17 TRS: 172.83/44.17 a(a(x1)) -> x1 172.83/44.17 b(a(x1)) -> x1 172.83/44.17 b(b(a(x1))) -> a(b(a(b(b(x1)))))
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