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SRS_Standard 2019-03-29 03.29 pair #432289656
details
property
value
status
complete
benchmark
size-12-alpha-3-num-480.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.9555 seconds
cpu usage
177.464
user time
173.23
system time
4.23394
max virtual memory
7261092.0
max residence set size
102020.0
stage attributes
key
value
starexec-result
YES
output
177.32/44.94 YES 177.32/44.95 177.32/44.95 Problem: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 177.32/44.95 Proof: 177.32/44.95 DP Processor: 177.32/44.95 DPs: 177.32/44.95 a#(a(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) 177.32/44.95 TRS: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 TDG Processor: 177.32/44.95 DPs: 177.32/44.95 a#(a(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) 177.32/44.95 TRS: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 graph: 177.32/44.95 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 177.32/44.95 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 177.32/44.95 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> c#(x1) 177.32/44.95 EDG Processor: 177.32/44.95 DPs: 177.32/44.95 a#(a(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) 177.32/44.95 TRS: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 graph: 177.32/44.95 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) 177.32/44.95 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 177.32/44.95 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 177.32/44.95 SCC Processor: 177.32/44.95 #sccs: 1 177.32/44.95 #rules: 3 177.32/44.95 #arcs: 6/16 177.32/44.95 DPs: 177.32/44.95 c#(b(x1)) -> c#(x1) 177.32/44.95 c#(b(x1)) -> a#(c(x1)) 177.32/44.95 a#(a(x1)) -> c#(x1) 177.32/44.95 TRS: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 Arctic Interpretation Processor: 177.32/44.95 dimension: 2 177.32/44.95 usable rules: 177.32/44.95 a(a(x1)) -> a(b(b(c(x1)))) 177.32/44.95 c(a(x1)) -> x1 177.32/44.95 c(b(x1)) -> a(c(x1)) 177.32/44.95 interpretation: 177.32/44.95 [c#](x0) = [0 1]x0 + [2], 177.32/44.95 177.32/44.95 [a#](x0) = [0 0]x0 + [0], 177.32/44.95 177.32/44.95 [1 0] [2] 177.32/44.95 [b](x0) = [0 0]x0 + [2], 177.32/44.95 177.32/44.95 [-& 0 ] [0] 177.32/44.95 [c](x0) = [0 -&]x0 + [0], 177.32/44.95 177.32/44.95 [-& 0 ] [0] 177.32/44.95 [a](x0) = [0 1 ]x0 + [2] 177.32/44.95 orientation: 177.32/44.95 c#(b(x1)) = [1 1]x1 + [3] >= [0 1]x1 + [2] = c#(x1) 177.32/44.95 177.32/44.95 c#(b(x1)) = [1 1]x1 + [3] >= [0 0]x1 + [0] = a#(c(x1)) 177.32/44.95 177.32/44.95 a#(a(x1)) = [0 1]x1 + [2] >= [0 1]x1 + [2] = c#(x1) 177.32/44.95 177.32/44.95 [0 1] [2] [0 1] [2] 177.32/44.95 a(a(x1)) = [1 2]x1 + [3] >= [1 2]x1 + [3] = a(b(b(c(x1)))) 177.32/44.95 177.32/44.95 [0 1 ] [2] 177.32/44.95 c(a(x1)) = [-& 0 ]x1 + [0] >= x1 = x1 177.32/44.95 177.32/44.95 [0 0] [2] [0 -&] [0] 177.32/44.95 c(b(x1)) = [1 0]x1 + [2] >= [1 0 ]x1 + [2] = a(c(x1))
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