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SRS_Standard 2019-03-29 03.29 pair #432290754
details
property
value
status
complete
benchmark
size-12-alpha-3-num-128.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)
48.4117 seconds
cpu usage
191.188
user time
186.813
system time
4.37408
max virtual memory
7630824.0
max residence set size
97952.0
stage attributes
key
value
starexec-result
YES
output
191.03/48.39 YES 191.03/48.40 191.03/48.40 Problem: 191.03/48.40 a(x1) -> x1 191.03/48.40 a(a(b(b(x1)))) -> b(c(a(c(x1)))) 191.03/48.40 c(x1) -> b(a(x1)) 191.03/48.40 191.03/48.40 Proof: 191.03/48.40 String Reversal Processor: 191.03/48.40 a(x1) -> x1 191.03/48.40 b(b(a(a(x1)))) -> c(a(c(b(x1)))) 191.03/48.40 c(x1) -> a(b(x1)) 191.03/48.40 DP Processor: 191.03/48.40 DPs: 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> c#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> a#(c(b(x1))) 191.03/48.40 b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) 191.03/48.40 c#(x1) -> b#(x1) 191.03/48.40 c#(x1) -> a#(b(x1)) 191.03/48.40 TRS: 191.03/48.40 a(x1) -> x1 191.03/48.40 b(b(a(a(x1)))) -> c(a(c(b(x1)))) 191.03/48.40 c(x1) -> a(b(x1)) 191.03/48.40 TDG Processor: 191.03/48.40 DPs: 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> c#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> a#(c(b(x1))) 191.03/48.40 b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) 191.03/48.40 c#(x1) -> b#(x1) 191.03/48.40 c#(x1) -> a#(b(x1)) 191.03/48.40 TRS: 191.03/48.40 a(x1) -> x1 191.03/48.40 b(b(a(a(x1)))) -> c(a(c(b(x1)))) 191.03/48.40 c(x1) -> a(b(x1)) 191.03/48.40 graph: 191.03/48.40 c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) 191.03/48.40 c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(b(x1))) 191.03/48.40 c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(x1)) 191.03/48.40 c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> c#(b(x1)) -> c#(x1) -> a#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> c#(b(x1)) -> c#(x1) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) -> c#(x1) -> a#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) -> c#(x1) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(b(x1))) 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 191.03/48.40 SCC Processor: 191.03/48.40 #sccs: 1 191.03/48.40 #rules: 4 191.03/48.40 #arcs: 12/36 191.03/48.40 DPs: 191.03/48.40 c#(x1) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> b#(x1) 191.03/48.40 b#(b(a(a(x1)))) -> c#(b(x1)) 191.03/48.40 b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) 191.03/48.40 TRS: 191.03/48.40 a(x1) -> x1 191.03/48.40 b(b(a(a(x1)))) -> c(a(c(b(x1)))) 191.03/48.40 c(x1) -> a(b(x1)) 191.03/48.40 Arctic Interpretation Processor: 191.03/48.40 dimension: 4 191.03/48.40 usable rules: 191.03/48.40 a(x1) -> x1 191.03/48.40 b(b(a(a(x1)))) -> c(a(c(b(x1)))) 191.03/48.40 c(x1) -> a(b(x1)) 191.03/48.40 interpretation: 191.03/48.40 [c#](x0) = [-& 0 -& -&]x0 + [0], 191.03/48.40 191.03/48.40 [b#](x0) = [-& 0 -& -&]x0 + [0], 191.03/48.40 191.03/48.40 [0 1 0 0 ] [1] 191.03/48.40 [0 0 0 0 ] [0] 191.03/48.40 [c](x0) = [0 0 0 0 ]x0 + [0] 191.03/48.40 [0 1 0 -&] [1], 191.03/48.40 191.03/48.40 [0 0 -& -&] [-&] 191.03/48.40 [0 0 0 0 ] [0 ] 191.03/48.40 [b](x0) = [-& 0 -& -&]x0 + [0 ] 191.03/48.40 [0 0 0 -&] [0 ], 191.03/48.40 191.03/48.40 [0 0 1 0 ] [1] 191.03/48.40 [-& 0 0 -&] [0] 191.03/48.40 [a](x0) = [0 0 0 0 ]x0 + [0] 191.03/48.40 [0 -& 0 0 ] [0] 191.03/48.40 orientation: 191.03/48.40 c#(x1) = [-& 0 -& -&]x1 + [0] >= [-& 0 -& -&]x1 + [0] = b#(x1) 191.03/48.40 191.03/48.40 b#(b(a(a(x1)))) = [1 1 1 1]x1 + [1] >= [-& 0 -& -&]x1 + [0] = b#(x1) 191.03/48.40 191.03/48.40 b#(b(a(a(x1)))) = [1 1 1 1]x1 + [1] >= [0 0 0 0]x1 + [0] = c#(b(x1)) 191.03/48.40 191.03/48.40 b#(b(a(a(x1)))) = [1 1 1 1]x1 + [1] >= [0 0 0 0]x1 + [0] = c#(a(c(b(x1)))) 191.03/48.40 191.03/48.40 [0 0 1 0 ] [1] 191.03/48.40 [-& 0 0 -&] [0] 191.03/48.40 a(x1) = [0 0 0 0 ]x1 + [0] >= x1 = x1 191.03/48.40 [0 -& 0 0 ] [0]
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