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SRS_Standard 2019-03-29 03.29 pair #432289650
details
property
value
status
complete
benchmark
size-12-alpha-3-num-201.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.606 seconds
cpu usage
173.223
user time
168.352
system time
4.87058
max virtual memory
6998720.0
max residence set size
93968.0
stage attributes
key
value
starexec-result
YES
output
173.13/44.59 YES 173.20/44.59 173.20/44.59 Problem: 173.20/44.59 a(x1) -> x1 173.20/44.59 a(b(x1)) -> b(b(a(c(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> b(a(x1)) 173.20/44.59 173.20/44.59 Proof: 173.20/44.59 String Reversal Processor: 173.20/44.59 a(x1) -> x1 173.20/44.59 b(a(x1)) -> c(a(b(b(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> a(b(x1)) 173.20/44.59 DP Processor: 173.20/44.59 DPs: 173.20/44.59 b#(a(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) 173.20/44.59 b#(a(x1)) -> a#(b(b(x1))) 173.20/44.59 b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 c#(c(x1)) -> b#(x1) 173.20/44.59 c#(c(x1)) -> a#(b(x1)) 173.20/44.59 TRS: 173.20/44.59 a(x1) -> x1 173.20/44.59 b(a(x1)) -> c(a(b(b(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> a(b(x1)) 173.20/44.59 TDG Processor: 173.20/44.59 DPs: 173.20/44.59 b#(a(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) 173.20/44.59 b#(a(x1)) -> a#(b(b(x1))) 173.20/44.59 b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 c#(c(x1)) -> b#(x1) 173.20/44.59 c#(c(x1)) -> a#(b(x1)) 173.20/44.59 TRS: 173.20/44.59 a(x1) -> x1 173.20/44.59 b(a(x1)) -> c(a(b(b(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> a(b(x1)) 173.20/44.59 graph: 173.20/44.59 c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) 173.20/44.59 c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 173.20/44.59 c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(c(x1)) -> a#(b(x1)) 173.20/44.59 b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(c(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) 173.20/44.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 173.20/44.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 173.20/44.59 SCC Processor: 173.20/44.59 #sccs: 1 173.20/44.59 #rules: 4 173.20/44.59 #arcs: 14/36 173.20/44.59 DPs: 173.20/44.59 c#(c(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(x1) 173.20/44.59 b#(a(x1)) -> b#(b(x1)) 173.20/44.59 b#(a(x1)) -> c#(a(b(b(x1)))) 173.20/44.59 TRS: 173.20/44.59 a(x1) -> x1 173.20/44.59 b(a(x1)) -> c(a(b(b(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> a(b(x1)) 173.20/44.59 Arctic Interpretation Processor: 173.20/44.59 dimension: 2 173.20/44.59 usable rules: 173.20/44.59 a(x1) -> x1 173.20/44.59 b(a(x1)) -> c(a(b(b(x1)))) 173.20/44.59 b(x1) -> x1 173.20/44.59 c(c(x1)) -> a(b(x1)) 173.20/44.59 interpretation: 173.20/44.59 [c#](x0) = [-& 1 ]x0 + [0], 173.20/44.59 173.20/44.59 [b#](x0) = [0 2]x0 + [1], 173.20/44.59 173.20/44.59 [0 2] [0] 173.20/44.59 [c](x0) = [0 2]x0 + [0], 173.20/44.59 173.20/44.59 [0 -&] 173.20/44.59 [b](x0) = [0 0 ]x0, 173.20/44.59 173.20/44.59 [2 2 ] [0 ] 173.20/44.59 [a](x0) = [-& 0 ]x0 + [-&] 173.20/44.59 orientation: 173.20/44.59 c#(c(x1)) = [1 3]x1 + [1] >= [0 2]x1 + [1] = b#(x1) 173.20/44.59 173.20/44.59 b#(a(x1)) = [2 2]x1 + [1] >= [0 2]x1 + [1] = b#(x1) 173.20/44.59 173.20/44.59 b#(a(x1)) = [2 2]x1 + [1] >= [2 2]x1 + [1] = b#(b(x1)) 173.20/44.59 173.20/44.59 b#(a(x1)) = [2 2]x1 + [1] >= [1 1]x1 + [0] = c#(a(b(b(x1)))) 173.20/44.59 173.20/44.59 [2 2 ] [0 ] 173.20/44.59 a(x1) = [-& 0 ]x1 + [-&] >= x1 = x1
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