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SRS_Standard 2019-03-29 03.29 pair #432290076
details
property
value
status
complete
benchmark
size-12-alpha-3-num-110.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.4725 seconds
cpu usage
168.149
user time
164.88
system time
3.26862
max virtual memory
7211772.0
max residence set size
97900.0
stage attributes
key
value
starexec-result
YES
output
168.10/44.46 YES 168.10/44.46 168.10/44.46 Problem: 168.10/44.46 a(x1) -> x1 168.10/44.46 a(a(b(x1))) -> b(b(a(a(x1)))) 168.10/44.46 c(b(x1)) -> c(a(x1)) 168.10/44.46 168.10/44.46 Proof: 168.10/44.46 String Reversal Processor: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 DP Processor: 168.10/44.46 DPs: 168.10/44.46 b#(a(a(x1))) -> b#(x1) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) 168.10/44.46 b#(a(a(x1))) -> a#(b(b(x1))) 168.10/44.46 b#(a(a(x1))) -> a#(a(b(b(x1)))) 168.10/44.46 b#(c(x1)) -> a#(c(x1)) 168.10/44.46 TRS: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 TDG Processor: 168.10/44.46 DPs: 168.10/44.46 b#(a(a(x1))) -> b#(x1) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) 168.10/44.46 b#(a(a(x1))) -> a#(b(b(x1))) 168.10/44.46 b#(a(a(x1))) -> a#(a(b(b(x1)))) 168.10/44.46 b#(c(x1)) -> a#(c(x1)) 168.10/44.46 TRS: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 graph: 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) -> b#(c(x1)) -> a#(c(x1)) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) 168.10/44.46 b#(a(a(x1))) -> b#(x1) -> b#(c(x1)) -> a#(c(x1)) 168.10/44.46 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) 168.10/44.46 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) 168.10/44.46 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) 168.10/44.46 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) 168.10/44.46 SCC Processor: 168.10/44.46 #sccs: 1 168.10/44.46 #rules: 2 168.10/44.46 #arcs: 10/25 168.10/44.46 DPs: 168.10/44.46 b#(a(a(x1))) -> b#(b(x1)) 168.10/44.46 b#(a(a(x1))) -> b#(x1) 168.10/44.46 TRS: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 Arctic Interpretation Processor: 168.10/44.46 dimension: 2 168.10/44.46 usable rules: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 interpretation: 168.10/44.46 [b#](x0) = [0 -&]x0, 168.10/44.46 168.10/44.46 [-& 2 ] [3] 168.10/44.46 [c](x0) = [-& 1 ]x0 + [2], 168.10/44.46 168.10/44.46 [0 0] [-&] 168.10/44.46 [b](x0) = [0 0]x0 + [0 ], 168.10/44.46 168.10/44.46 [0 1] [1] 168.10/44.46 [a](x0) = [0 0]x0 + [0] 168.10/44.46 orientation: 168.10/44.46 b#(a(a(x1))) = [1 1]x1 + [1] >= [0 0]x1 = b#(b(x1)) 168.10/44.46 168.10/44.46 b#(a(a(x1))) = [1 1]x1 + [1] >= [0 -&]x1 = b#(x1) 168.10/44.46 168.10/44.46 [0 1] [1] 168.10/44.46 a(x1) = [0 0]x1 + [0] >= x1 = x1 168.10/44.46 168.10/44.46 [1 1] [1] [1 1] [1] 168.10/44.46 b(a(a(x1))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a(a(b(b(x1)))) 168.10/44.46 168.10/44.46 [-& 2 ] [3] [-& 2 ] [3] 168.10/44.46 b(c(x1)) = [-& 2 ]x1 + [3] >= [-& 2 ]x1 + [3] = a(c(x1)) 168.10/44.46 problem: 168.10/44.46 DPs: 168.10/44.46 168.10/44.46 TRS: 168.10/44.46 a(x1) -> x1 168.10/44.46 b(a(a(x1))) -> a(a(b(b(x1)))) 168.10/44.46 b(c(x1)) -> a(c(x1)) 168.10/44.46 Qed 168.10/44.47 EOF
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