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SRS_Standard 2019-03-29 03.29 pair #432291594
details
property
value
status
complete
benchmark
size-11-alpha-3-num-11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n126.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
42.8223 seconds
cpu usage
167.881
user time
164.337
system time
3.54439
max virtual memory
7334368.0
max residence set size
101072.0
stage attributes
key
value
starexec-result
YES
output
167.36/42.81 YES 167.36/42.81 167.36/42.81 Problem: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 a(c(x1)) -> c(c(a(b(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 167.36/42.81 Proof: 167.36/42.81 String Reversal Processor: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 DP Processor: 167.36/42.81 DPs: 167.36/42.81 a#(x1) -> b#(x1) 167.36/42.81 c#(a(x1)) -> c#(x1) 167.36/42.81 c#(a(x1)) -> c#(c(x1)) 167.36/42.81 c#(a(x1)) -> a#(c(c(x1))) 167.36/42.81 c#(a(x1)) -> b#(a(c(c(x1)))) 167.36/42.81 b#(b(x1)) -> a#(x1) 167.36/42.81 TRS: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 TDG Processor: 167.36/42.81 DPs: 167.36/42.81 a#(x1) -> b#(x1) 167.36/42.81 c#(a(x1)) -> c#(x1) 167.36/42.81 c#(a(x1)) -> c#(c(x1)) 167.36/42.81 c#(a(x1)) -> a#(c(c(x1))) 167.36/42.81 c#(a(x1)) -> b#(a(c(c(x1)))) 167.36/42.81 b#(b(x1)) -> a#(x1) 167.36/42.81 TRS: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 graph: 167.36/42.81 c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> b#(a(c(c(x1)))) 167.36/42.81 c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(c(c(x1))) 167.36/42.81 c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) 167.36/42.81 c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(x1) 167.36/42.81 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(a(c(c(x1)))) 167.36/42.81 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(c(x1))) 167.36/42.81 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(c(x1)) 167.36/42.81 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) 167.36/42.81 c#(a(x1)) -> b#(a(c(c(x1)))) -> b#(b(x1)) -> a#(x1) 167.36/42.81 c#(a(x1)) -> a#(c(c(x1))) -> a#(x1) -> b#(x1) 167.36/42.81 b#(b(x1)) -> a#(x1) -> a#(x1) -> b#(x1) 167.36/42.81 a#(x1) -> b#(x1) -> b#(b(x1)) -> a#(x1) 167.36/42.81 SCC Processor: 167.36/42.81 #sccs: 2 167.36/42.81 #rules: 4 167.36/42.81 #arcs: 12/36 167.36/42.81 DPs: 167.36/42.81 c#(a(x1)) -> c#(c(x1)) 167.36/42.81 c#(a(x1)) -> c#(x1) 167.36/42.81 TRS: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 Arctic Interpretation Processor: 167.36/42.81 dimension: 2 167.36/42.81 usable rules: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 interpretation: 167.36/42.81 [c#](x0) = [0 0]x0 + [0], 167.36/42.81 167.36/42.81 [0 0] [-&] 167.36/42.81 [c](x0) = [0 0]x0 + [2 ], 167.36/42.81 167.36/42.81 [0 1 ] [0] 167.36/42.81 [b](x0) = [0 -&]x0 + [2], 167.36/42.81 167.36/42.81 [1 1 ] [3] 167.36/42.81 [a](x0) = [0 -&]x0 + [2] 167.36/42.81 orientation: 167.36/42.81 c#(a(x1)) = [1 1]x1 + [3] >= [0 0]x1 + [2] = c#(c(x1)) 167.36/42.81 167.36/42.81 c#(a(x1)) = [1 1]x1 + [3] >= [0 0]x1 + [0] = c#(x1) 167.36/42.81 167.36/42.81 [1 1 ] [3] [0 1 ] [0] 167.36/42.81 a(x1) = [0 -&]x1 + [2] >= [0 -&]x1 + [2] = b(x1) 167.36/42.81 167.36/42.81 [1 1] [3] [1 1] [3] 167.36/42.81 c(a(x1)) = [1 1]x1 + [3] >= [1 1]x1 + [3] = b(a(c(c(x1)))) 167.36/42.81 167.36/42.81 [1 1] [3] [1 1 ] [3] 167.36/42.81 b(b(x1)) = [0 1]x1 + [2] >= [0 -&]x1 + [2] = a(x1) 167.36/42.81 problem: 167.36/42.81 DPs: 167.36/42.81 167.36/42.81 TRS: 167.36/42.81 a(x1) -> b(x1) 167.36/42.81 c(a(x1)) -> b(a(c(c(x1)))) 167.36/42.81 b(b(x1)) -> a(x1) 167.36/42.81 Qed 167.36/42.81 167.36/42.81 DPs:
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