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SRS_Standard 2019-03-29 03.29 pair #432290982
details
property
value
status
complete
benchmark
size-12-alpha-3-num-482.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
45.6837 seconds
cpu usage
179.299
user time
174.898
system time
4.40146
max virtual memory
7419056.0
max residence set size
96992.0
stage attributes
key
value
starexec-result
YES
output
178.65/45.67 YES 178.65/45.67 178.65/45.67 Problem: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 178.65/45.67 Proof: 178.65/45.67 DP Processor: 178.65/45.67 DPs: 178.65/45.67 a#(a(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 TRS: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 TDG Processor: 178.65/45.67 DPs: 178.65/45.67 a#(a(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 TRS: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 graph: 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) -> a#(a(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> c#(x1) 178.65/45.67 EDG Processor: 178.65/45.67 DPs: 178.65/45.67 a#(a(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 TRS: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 graph: 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 178.65/45.67 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) -> a#(a(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) 178.65/45.67 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 SCC Processor: 178.65/45.67 #sccs: 1 178.65/45.67 #rules: 4 178.65/45.67 #arcs: 10/25 178.65/45.67 DPs: 178.65/45.67 c#(b(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(a(c(x1))) 178.65/45.67 a#(a(x1)) -> c#(x1) 178.65/45.67 c#(b(x1)) -> a#(c(x1)) 178.65/45.67 TRS: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 Arctic Interpretation Processor: 178.65/45.67 dimension: 2 178.65/45.67 usable rules: 178.65/45.67 a(a(x1)) -> a(b(c(x1))) 178.65/45.67 c(a(x1)) -> x1 178.65/45.67 c(b(x1)) -> a(a(c(x1))) 178.65/45.67 interpretation: 178.65/45.67 [c#](x0) = [0 1]x0 + [2], 178.65/45.67 178.65/45.67 [a#](x0) = [-& 0 ]x0 + [0], 178.65/45.67 178.65/45.67 [2 1] [3] 178.65/45.67 [b](x0) = [1 0]x0 + [2], 178.65/45.67 178.65/45.67 [-& 0 ] [0] 178.65/45.67 [c](x0) = [0 -&]x0 + [1], 178.65/45.67 178.65/45.67 [-& 0 ] [0] 178.65/45.67 [a](x0) = [0 1 ]x0 + [2] 178.65/45.67 orientation: 178.65/45.67 c#(b(x1)) = [2 1]x1 + [3] >= [0 1]x1 + [2] = c#(x1) 178.65/45.67
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