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SRS_Standard 2019-03-29 03.29 pair #432289524
details
property
value
status
complete
benchmark
size-12-alpha-3-num-255.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_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
48.4659 seconds
cpu usage
190.609
user time
185.78
system time
4.82876
max virtual memory
7628668.0
max residence set size
93988.0
stage attributes
key
value
starexec-result
YES
output
190.57/48.45 YES 190.57/48.46 190.57/48.46 Problem: 190.57/48.46 a(x1) -> x1 190.57/48.46 a(b(x1)) -> b(c(b(a(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 190.57/48.46 Proof: 190.57/48.46 String Reversal Processor: 190.57/48.46 a(x1) -> x1 190.57/48.46 b(a(x1)) -> a(b(c(b(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 DP Processor: 190.57/48.46 DPs: 190.57/48.46 b#(a(x1)) -> b#(x1) 190.57/48.46 b#(a(x1)) -> c#(b(x1)) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 b#(a(x1)) -> a#(b(c(b(x1)))) 190.57/48.46 b#(x1) -> a#(x1) 190.57/48.46 TRS: 190.57/48.46 a(x1) -> x1 190.57/48.46 b(a(x1)) -> a(b(c(b(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 TDG Processor: 190.57/48.46 DPs: 190.57/48.46 b#(a(x1)) -> b#(x1) 190.57/48.46 b#(a(x1)) -> c#(b(x1)) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 b#(a(x1)) -> a#(b(c(b(x1)))) 190.57/48.46 b#(x1) -> a#(x1) 190.57/48.46 TRS: 190.57/48.46 a(x1) -> x1 190.57/48.46 b(a(x1)) -> a(b(c(b(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 graph: 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) -> b#(x1) -> a#(x1) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> a#(b(c(b(x1)))) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> c#(b(x1)) 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> b#(x1) 190.57/48.46 b#(a(x1)) -> b#(x1) -> b#(x1) -> a#(x1) 190.57/48.46 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(c(b(x1)))) 190.57/48.46 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) 190.57/48.46 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 190.57/48.46 SCC Processor: 190.57/48.46 #sccs: 1 190.57/48.46 #rules: 2 190.57/48.46 #arcs: 10/25 190.57/48.46 DPs: 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 b#(a(x1)) -> b#(x1) 190.57/48.46 TRS: 190.57/48.46 a(x1) -> x1 190.57/48.46 b(a(x1)) -> a(b(c(b(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 Arctic Interpretation Processor: 190.57/48.46 dimension: 2 190.57/48.46 usable rules: 190.57/48.46 a(x1) -> x1 190.57/48.46 b(a(x1)) -> a(b(c(b(x1)))) 190.57/48.46 b(x1) -> a(x1) 190.57/48.46 c(c(c(x1))) -> x1 190.57/48.46 interpretation: 190.57/48.46 [b#](x0) = [0 0]x0 + [-4], 190.57/48.46 190.57/48.46 [-3 0 ] [2] 190.57/48.46 [c](x0) = [-1 1 ]x0 + [3], 190.57/48.46 190.57/48.46 [2 1] [3] 190.57/48.46 [b](x0) = [0 0]x0 + [0], 190.57/48.46 190.57/48.46 [1 1 ] [3 ] 190.57/48.46 [a](x0) = [-& 0 ]x0 + [-&] 190.57/48.46 orientation: 190.57/48.46 b#(a(x1)) = [1 1]x1 + [3] >= [1 1]x1 + [3] = b#(c(b(x1))) 190.57/48.46 190.57/48.46 b#(a(x1)) = [1 1]x1 + [3] >= [0 0]x1 + [-4] = b#(x1) 190.57/48.46 190.57/48.46 [1 1 ] [3 ] 190.57/48.46 a(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 190.57/48.46 190.57/48.46 [3 3] [5] [3 3] [5] 190.57/48.46 b(a(x1)) = [1 1]x1 + [3] >= [1 1]x1 + [3] = a(b(c(b(x1)))) 190.57/48.46 190.57/48.46 [2 1] [3] [1 1 ] [3 ] 190.57/48.46 b(x1) = [0 0]x1 + [0] >= [-& 0 ]x1 + [-&] = a(x1) 190.57/48.46 190.57/48.46 [0 2] [4] 190.57/48.46 c(c(c(x1))) = [1 3]x1 + [5] >= x1 = x1 190.57/48.46 problem: 190.57/48.46 DPs: 190.57/48.46 b#(a(x1)) -> b#(c(b(x1))) 190.57/48.46 TRS: 190.57/48.46 a(x1) -> x1
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