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SRS_Standard 2019-03-29 03.29 pair #432291294
details
property
value
status
complete
benchmark
size-12-alpha-3-num-436.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n126.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.0139 seconds
cpu usage
172.57
user time
169.181
system time
3.38826
max virtual memory
7300480.0
max residence set size
108052.0
stage attributes
key
value
starexec-result
YES
output
172.47/44.00 YES 172.54/44.00 172.54/44.00 Problem: 172.54/44.00 a(x1) -> b(b(c(x1))) 172.54/44.00 c(b(b(x1))) -> a(b(c(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 172.54/44.00 Proof: 172.54/44.00 String Reversal Processor: 172.54/44.00 a(x1) -> c(b(b(x1))) 172.54/44.00 b(b(c(x1))) -> c(b(a(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 DP Processor: 172.54/44.00 DPs: 172.54/44.00 a#(x1) -> b#(x1) 172.54/44.00 a#(x1) -> b#(b(x1)) 172.54/44.00 a#(x1) -> c#(b(b(x1))) 172.54/44.00 b#(b(c(x1))) -> a#(x1) 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 b#(b(c(x1))) -> c#(b(a(x1))) 172.54/44.00 TRS: 172.54/44.00 a(x1) -> c(b(b(x1))) 172.54/44.00 b(b(c(x1))) -> c(b(a(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 TDG Processor: 172.54/44.00 DPs: 172.54/44.00 a#(x1) -> b#(x1) 172.54/44.00 a#(x1) -> b#(b(x1)) 172.54/44.00 a#(x1) -> c#(b(b(x1))) 172.54/44.00 b#(b(c(x1))) -> a#(x1) 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 b#(b(c(x1))) -> c#(b(a(x1))) 172.54/44.00 TRS: 172.54/44.00 a(x1) -> c(b(b(x1))) 172.54/44.00 b(b(c(x1))) -> c(b(a(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 graph: 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> c#(b(a(x1))) 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> a#(x1) 172.54/44.00 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> c#(b(b(x1))) 172.54/44.00 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(b(x1)) 172.54/44.00 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(x1) 172.54/44.00 a#(x1) -> b#(b(x1)) -> b#(b(c(x1))) -> c#(b(a(x1))) 172.54/44.00 a#(x1) -> b#(b(x1)) -> b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 a#(x1) -> b#(b(x1)) -> b#(b(c(x1))) -> a#(x1) 172.54/44.00 a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(b(a(x1))) 172.54/44.00 a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(x1) 172.54/44.00 SCC Processor: 172.54/44.00 #sccs: 1 172.54/44.00 #rules: 4 172.54/44.00 #arcs: 12/36 172.54/44.00 DPs: 172.54/44.00 b#(b(c(x1))) -> b#(a(x1)) 172.54/44.00 b#(b(c(x1))) -> a#(x1) 172.54/44.00 a#(x1) -> b#(x1) 172.54/44.00 a#(x1) -> b#(b(x1)) 172.54/44.00 TRS: 172.54/44.00 a(x1) -> c(b(b(x1))) 172.54/44.00 b(b(c(x1))) -> c(b(a(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 Arctic Interpretation Processor: 172.54/44.00 dimension: 2 172.54/44.00 usable rules: 172.54/44.00 a(x1) -> c(b(b(x1))) 172.54/44.00 b(b(c(x1))) -> c(b(a(x1))) 172.54/44.00 c(c(x1)) -> x1 172.54/44.00 interpretation: 172.54/44.00 [b#](x0) = [2 0]x0 + [0], 172.54/44.00 172.54/44.00 [a#](x0) = [2 3]x0 + [3], 172.54/44.00 172.54/44.00 [-& 0 ] [0] 172.54/44.00 [b](x0) = [0 -&]x0 + [0], 172.54/44.00 172.54/44.00 [-& 0 ] [0] 172.54/44.00 [c](x0) = [0 2 ]x0 + [2], 172.54/44.00 172.54/44.00 [-& 0 ] [0] 172.54/44.00 [a](x0) = [0 2 ]x0 + [2] 172.54/44.00 orientation: 172.54/44.00 b#(b(c(x1))) = [2 4]x1 + [4] >= [0 2]x1 + [2] = b#(a(x1)) 172.54/44.00 172.54/44.00 b#(b(c(x1))) = [2 4]x1 + [4] >= [2 3]x1 + [3] = a#(x1) 172.54/44.00 172.54/44.00 a#(x1) = [2 3]x1 + [3] >= [2 0]x1 + [0] = b#(x1) 172.54/44.00 172.54/44.00 a#(x1) = [2 3]x1 + [3] >= [0 2]x1 + [2] = b#(b(x1)) 172.54/44.00 172.54/44.00 [-& 0 ] [0] [-& 0 ] [0] 172.54/44.00 a(x1) = [0 2 ]x1 + [2] >= [0 2 ]x1 + [2] = c(b(b(x1))) 172.54/44.00 172.54/44.00 [-& 0 ] [0] [-& 0 ] [0] 172.54/44.00 b(b(c(x1))) = [0 2 ]x1 + [2] >= [0 2 ]x1 + [2] = c(b(a(x1))) 172.54/44.00 172.54/44.00 [0 2] [2] 172.54/44.00 c(c(x1)) = [2 4]x1 + [4] >= x1 = x1 172.54/44.00 problem: 172.54/44.00 DPs:
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