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SRS_Standard 2019-03-29 03.29 pair #432291306
details
property
value
status
complete
benchmark
size-12-alpha-3-num-215.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
42.6535 seconds
cpu usage
166.594
user time
163.542
system time
3.05252
max virtual memory
7507440.0
max residence set size
91892.0
stage attributes
key
value
starexec-result
YES
output
166.50/42.64 YES 166.50/42.64 166.50/42.64 Problem: 166.50/42.64 a(x1) -> x1 166.50/42.64 a(b(x1)) -> b(b(b(a(c(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 166.50/42.64 Proof: 166.50/42.64 String Reversal Processor: 166.50/42.64 a(x1) -> x1 166.50/42.64 b(a(x1)) -> c(a(b(b(b(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 DP Processor: 166.50/42.64 DPs: 166.50/42.64 b#(a(x1)) -> b#(x1) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> a#(b(b(b(x1)))) 166.50/42.64 b#(a(x1)) -> c#(a(b(b(b(x1))))) 166.50/42.64 c#(c(x1)) -> a#(x1) 166.50/42.64 TRS: 166.50/42.64 a(x1) -> x1 166.50/42.64 b(a(x1)) -> c(a(b(b(b(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 TDG Processor: 166.50/42.64 DPs: 166.50/42.64 b#(a(x1)) -> b#(x1) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> a#(b(b(b(x1)))) 166.50/42.64 b#(a(x1)) -> c#(a(b(b(b(x1))))) 166.50/42.64 c#(c(x1)) -> a#(x1) 166.50/42.64 TRS: 166.50/42.64 a(x1) -> x1 166.50/42.64 b(a(x1)) -> c(a(b(b(b(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 graph: 166.50/42.64 b#(a(x1)) -> c#(a(b(b(b(x1))))) -> c#(c(x1)) -> a#(x1) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> c#(a(b(b(b(x1))))) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> a#(b(b(b(x1)))) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(b(x1)) 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> b#(x1) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(b(x1))))) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(b(x1)))) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 166.50/42.64 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(b(x1))))) 166.50/42.64 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(b(x1)))) 166.50/42.64 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 166.50/42.64 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 166.50/42.64 SCC Processor: 166.50/42.64 #sccs: 1 166.50/42.64 #rules: 3 166.50/42.64 #arcs: 16/36 166.50/42.64 DPs: 166.50/42.64 b#(a(x1)) -> b#(b(b(x1))) 166.50/42.64 b#(a(x1)) -> b#(x1) 166.50/42.64 b#(a(x1)) -> b#(b(x1)) 166.50/42.64 TRS: 166.50/42.64 a(x1) -> x1 166.50/42.64 b(a(x1)) -> c(a(b(b(b(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 Arctic Interpretation Processor: 166.50/42.64 dimension: 2 166.50/42.64 usable rules: 166.50/42.64 a(x1) -> x1 166.50/42.64 b(a(x1)) -> c(a(b(b(b(x1))))) 166.50/42.64 b(x1) -> x1 166.50/42.64 c(c(x1)) -> a(x1) 166.50/42.64 interpretation: 166.50/42.64 [b#](x0) = [0 0]x0 + [0], 166.50/42.64 166.50/42.64 [-& 0 ] [0 ] 166.50/42.64 [c](x0) = [2 0 ]x0 + [-&], 166.50/42.64 166.50/42.64 [0 0 ] [0] 166.50/42.64 [b](x0) = [-& 0 ]x0 + [0], 166.50/42.64 166.50/42.64 [0 -&] [0] 166.50/42.64 [a](x0) = [2 2 ]x0 + [2] 166.50/42.64 orientation: 166.50/42.64 b#(a(x1)) = [2 2]x1 + [2] >= [0 0]x1 + [0] = b#(b(b(x1))) 166.50/42.64 166.50/42.64 b#(a(x1)) = [2 2]x1 + [2] >= [0 0]x1 + [0] = b#(x1) 166.50/42.64 166.50/42.64 b#(a(x1)) = [2 2]x1 + [2] >= [0 0]x1 + [0] = b#(b(x1)) 166.50/42.64 166.50/42.64 [0 -&] [0] 166.50/42.64 a(x1) = [2 2 ]x1 + [2] >= x1 = x1 166.50/42.64 166.50/42.64 [2 2] [2] [2 2] [2] 166.50/42.64 b(a(x1)) = [2 2]x1 + [2] >= [2 2]x1 + [2] = c(a(b(b(b(x1)))))
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