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SRS_Standard 2019-03-29 03.29 pair #432290946
details
property
value
status
complete
benchmark
size-12-alpha-3-num-301.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.9718 seconds
cpu usage
176.191
user time
171.441
system time
4.75002
max virtual memory
7658560.0
max residence set size
104088.0
stage attributes
key
value
starexec-result
YES
output
175.92/44.95 YES 175.92/44.96 175.92/44.96 Problem: 175.92/44.96 a(x1) -> x1 175.92/44.96 a(b(b(x1))) -> b(b(b(c(a(x1))))) 175.92/44.96 b(c(x1)) -> a(x1) 175.92/44.96 175.92/44.96 Proof: 175.92/44.96 String Reversal Processor: 175.92/44.96 a(x1) -> x1 175.92/44.96 b(b(a(x1))) -> a(c(b(b(b(x1))))) 175.92/44.96 c(b(x1)) -> a(x1) 175.92/44.96 DP Processor: 175.92/44.96 DPs: 175.92/44.96 b#(b(a(x1))) -> b#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> c#(b(b(b(x1)))) 175.92/44.96 b#(b(a(x1))) -> a#(c(b(b(b(x1))))) 175.92/44.96 c#(b(x1)) -> a#(x1) 175.92/44.96 TRS: 175.92/44.96 a(x1) -> x1 175.92/44.96 b(b(a(x1))) -> a(c(b(b(b(x1))))) 175.92/44.96 c(b(x1)) -> a(x1) 175.92/44.96 TDG Processor: 175.92/44.96 DPs: 175.92/44.96 b#(b(a(x1))) -> b#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> c#(b(b(b(x1)))) 175.92/44.96 b#(b(a(x1))) -> a#(c(b(b(b(x1))))) 175.92/44.96 c#(b(x1)) -> a#(x1) 175.92/44.96 TRS: 175.92/44.96 a(x1) -> x1 175.92/44.96 b(b(a(x1))) -> a(c(b(b(b(x1))))) 175.92/44.96 c(b(x1)) -> a(x1) 175.92/44.96 graph: 175.92/44.96 b#(b(a(x1))) -> c#(b(b(b(x1)))) -> c#(b(x1)) -> a#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) 175.92/44.96 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) 175.92/44.96 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) 175.92/44.96 SCC Processor: 175.92/44.96 #sccs: 1 175.92/44.96 #rules: 3 175.92/44.96 #arcs: 16/36 175.92/44.96 DPs: 175.92/44.96 b#(b(a(x1))) -> b#(b(b(x1))) 175.92/44.96 b#(b(a(x1))) -> b#(x1) 175.92/44.96 b#(b(a(x1))) -> b#(b(x1)) 175.92/44.96 TRS: 175.92/44.96 a(x1) -> x1 175.92/44.96 b(b(a(x1))) -> a(c(b(b(b(x1))))) 175.92/44.96 c(b(x1)) -> a(x1) 175.92/44.96 Arctic Interpretation Processor: 175.92/44.96 dimension: 2 175.92/44.96 usable rules: 175.92/44.96 a(x1) -> x1 175.92/44.96 b(b(a(x1))) -> a(c(b(b(b(x1))))) 175.92/44.96 c(b(x1)) -> a(x1) 175.92/44.96 interpretation: 175.92/44.96 [b#](x0) = [0 1]x0 + [2], 175.92/44.96 175.92/44.96 [1 0 ] [3] 175.92/44.96 [c](x0) = [0 -&]x0 + [0], 175.92/44.96 175.92/44.96 [-& 0 ] [1] 175.92/44.96 [b](x0) = [0 -&]x0 + [0], 175.92/44.96 175.92/44.96 [0 1 ] [3] 175.92/44.96 [a](x0) = [-& 0 ]x0 + [1] 175.92/44.96 orientation: 175.92/44.96 b#(b(a(x1))) = [1 2]x1 + [4] >= [0 1]x1 + [2] = b#(b(b(x1))) 175.92/44.96 175.92/44.96 b#(b(a(x1))) = [1 2]x1 + [4] >= [0 1]x1 + [2] = b#(x1) 175.92/44.96 175.92/44.96 b#(b(a(x1))) = [1 2]x1 + [4] >= [1 0]x1 + [2] = b#(b(x1)) 175.92/44.96 175.92/44.96 [0 1 ] [3] 175.92/44.96 a(x1) = [-& 0 ]x1 + [1] >= x1 = x1 175.92/44.96 175.92/44.96 [0 1 ] [3] [0 1 ] [3] 175.92/44.96 b(b(a(x1))) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = a(c(b(b(b(x1))))) 175.92/44.96 175.92/44.96 [0 1 ] [3] [0 1 ] [3] 175.92/44.96 c(b(x1)) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = a(x1) 175.92/44.96 problem: 175.92/44.96 DPs: 175.92/44.96 b#(b(a(x1))) -> b#(b(x1))
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