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SRS_Standard 2019-03-29 03.29 pair #432291654
details
property
value
status
complete
benchmark
size-11-alpha-3-num-10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.3734 seconds
cpu usage
169.928
user time
166.219
system time
3.70898
max virtual memory
7131032.0
max residence set size
92036.0
stage attributes
key
value
starexec-result
YES
output
169.38/43.36 YES 169.38/43.36 169.38/43.36 Problem: 169.38/43.36 a(x1) -> x1 169.38/43.36 a(a(b(x1))) -> b(b(a(a(x1)))) 169.38/43.36 b(x1) -> c(a(x1)) 169.38/43.36 169.38/43.36 Proof: 169.38/43.36 String Reversal Processor: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 DP Processor: 169.38/43.36 DPs: 169.38/43.36 b#(a(a(x1))) -> b#(x1) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) 169.38/43.36 b#(a(a(x1))) -> a#(b(b(x1))) 169.38/43.36 b#(a(a(x1))) -> a#(a(b(b(x1)))) 169.38/43.36 b#(x1) -> a#(c(x1)) 169.38/43.36 TRS: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 TDG Processor: 169.38/43.36 DPs: 169.38/43.36 b#(a(a(x1))) -> b#(x1) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) 169.38/43.36 b#(a(a(x1))) -> a#(b(b(x1))) 169.38/43.36 b#(a(a(x1))) -> a#(a(b(b(x1)))) 169.38/43.36 b#(x1) -> a#(c(x1)) 169.38/43.36 TRS: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 graph: 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(x1)) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) 169.38/43.36 b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(x1)) 169.38/43.36 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) 169.38/43.36 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) 169.38/43.36 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) 169.38/43.36 b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) 169.38/43.36 SCC Processor: 169.38/43.36 #sccs: 1 169.38/43.36 #rules: 2 169.38/43.36 #arcs: 10/25 169.38/43.36 DPs: 169.38/43.36 b#(a(a(x1))) -> b#(b(x1)) 169.38/43.36 b#(a(a(x1))) -> b#(x1) 169.38/43.36 TRS: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 Arctic Interpretation Processor: 169.38/43.36 dimension: 2 169.38/43.36 usable rules: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 interpretation: 169.38/43.36 [b#](x0) = [0 0]x0 + [0], 169.38/43.36 169.38/43.36 [0 -&] [0 ] 169.38/43.36 [c](x0) = [-& -&]x0 + [-&], 169.38/43.36 169.38/43.36 [0 0] [0] 169.38/43.36 [b](x0) = [0 0]x0 + [0], 169.38/43.36 169.38/43.36 [0 1] [0] 169.38/43.36 [a](x0) = [0 0]x0 + [0] 169.38/43.36 orientation: 169.38/43.36 b#(a(a(x1))) = [1 1]x1 + [1] >= [0 0]x1 + [0] = b#(b(x1)) 169.38/43.36 169.38/43.36 b#(a(a(x1))) = [1 1]x1 + [1] >= [0 0]x1 + [0] = b#(x1) 169.38/43.36 169.38/43.36 [0 1] [0] 169.38/43.36 a(x1) = [0 0]x1 + [0] >= x1 = x1 169.38/43.36 169.38/43.36 [1 1] [1] [1 1] [1] 169.38/43.36 b(a(a(x1))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a(a(b(b(x1)))) 169.38/43.36 169.38/43.36 [0 0] [0] [0 -&] [0] 169.38/43.36 b(x1) = [0 0]x1 + [0] >= [0 -&]x1 + [0] = a(c(x1)) 169.38/43.36 problem: 169.38/43.36 DPs: 169.38/43.36 169.38/43.36 TRS: 169.38/43.36 a(x1) -> x1 169.38/43.36 b(a(a(x1))) -> a(a(b(b(x1)))) 169.38/43.36 b(x1) -> a(c(x1)) 169.38/43.36 Qed 169.38/43.37 EOF
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