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SRS_Standard 2019-03-29 03.29 pair #432290022
details
property
value
status
complete
benchmark
size-12-alpha-3-num-437.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
44.5233 seconds
cpu usage
174.382
user time
170.71
system time
3.67174
max virtual memory
7266948.0
max residence set size
106040.0
stage attributes
key
value
starexec-result
YES
output
174.30/44.51 YES 174.30/44.51 174.30/44.51 Problem: 174.30/44.51 a(x1) -> b(b(c(b(x1)))) 174.30/44.51 c(b(b(x1))) -> a(c(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 174.30/44.51 Proof: 174.30/44.51 String Reversal Processor: 174.30/44.51 a(x1) -> b(c(b(b(x1)))) 174.30/44.51 b(b(c(x1))) -> c(a(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 DP Processor: 174.30/44.51 DPs: 174.30/44.51 a#(x1) -> b#(x1) 174.30/44.51 a#(x1) -> b#(b(x1)) 174.30/44.51 a#(x1) -> c#(b(b(x1))) 174.30/44.51 a#(x1) -> b#(c(b(b(x1)))) 174.30/44.51 b#(b(c(x1))) -> a#(x1) 174.30/44.51 b#(b(c(x1))) -> c#(a(x1)) 174.30/44.51 TRS: 174.30/44.51 a(x1) -> b(c(b(b(x1)))) 174.30/44.51 b(b(c(x1))) -> c(a(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 TDG Processor: 174.30/44.51 DPs: 174.30/44.51 a#(x1) -> b#(x1) 174.30/44.51 a#(x1) -> b#(b(x1)) 174.30/44.51 a#(x1) -> c#(b(b(x1))) 174.30/44.51 a#(x1) -> b#(c(b(b(x1)))) 174.30/44.51 b#(b(c(x1))) -> a#(x1) 174.30/44.51 b#(b(c(x1))) -> c#(a(x1)) 174.30/44.51 TRS: 174.30/44.51 a(x1) -> b(c(b(b(x1)))) 174.30/44.51 b(b(c(x1))) -> c(a(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 graph: 174.30/44.51 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(c(b(b(x1)))) 174.30/44.51 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> c#(b(b(x1))) 174.30/44.51 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(b(x1)) 174.30/44.51 b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(x1) 174.30/44.51 a#(x1) -> b#(c(b(b(x1)))) -> b#(b(c(x1))) -> c#(a(x1)) 174.30/44.51 a#(x1) -> b#(c(b(b(x1)))) -> b#(b(c(x1))) -> a#(x1) 174.30/44.51 a#(x1) -> b#(b(x1)) -> b#(b(c(x1))) -> c#(a(x1)) 174.30/44.51 a#(x1) -> b#(b(x1)) -> b#(b(c(x1))) -> a#(x1) 174.30/44.51 a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(x1)) 174.30/44.51 a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(x1) 174.30/44.51 SCC Processor: 174.30/44.51 #sccs: 1 174.30/44.51 #rules: 4 174.30/44.51 #arcs: 10/36 174.30/44.51 DPs: 174.30/44.51 b#(b(c(x1))) -> a#(x1) 174.30/44.51 a#(x1) -> b#(x1) 174.30/44.51 a#(x1) -> b#(b(x1)) 174.30/44.51 a#(x1) -> b#(c(b(b(x1)))) 174.30/44.51 TRS: 174.30/44.51 a(x1) -> b(c(b(b(x1)))) 174.30/44.51 b(b(c(x1))) -> c(a(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 Arctic Interpretation Processor: 174.30/44.51 dimension: 2 174.30/44.51 usable rules: 174.30/44.51 a(x1) -> b(c(b(b(x1)))) 174.30/44.51 b(b(c(x1))) -> c(a(x1)) 174.30/44.51 c(c(x1)) -> x1 174.30/44.51 interpretation: 174.30/44.51 [b#](x0) = [0 2]x0 + [0], 174.30/44.51 174.30/44.51 [a#](x0) = [3 2]x0 + [3], 174.30/44.51 174.30/44.51 [1 0 ] [2 ] 174.30/44.51 [c](x0) = [0 -&]x0 + [-&], 174.30/44.51 174.30/44.51 [-& 0 ] [0] 174.30/44.51 [b](x0) = [0 -&]x0 + [0], 174.30/44.51 174.30/44.51 [0 -&] [0] 174.30/44.51 [a](x0) = [1 0 ]x0 + [2] 174.30/44.51 orientation: 174.30/44.51 b#(b(c(x1))) = [3 2]x1 + [4] >= [3 2]x1 + [3] = a#(x1) 174.30/44.51 174.30/44.51 a#(x1) = [3 2]x1 + [3] >= [0 2]x1 + [0] = b#(x1) 174.30/44.51 174.30/44.51 a#(x1) = [3 2]x1 + [3] >= [2 0]x1 + [2] = b#(b(x1)) 174.30/44.51 174.30/44.51 a#(x1) = [3 2]x1 + [3] >= [2 0]x1 + [2] = b#(c(b(b(x1)))) 174.30/44.51 174.30/44.51 [0 -&] [0] [0 -&] [0] 174.30/44.51 a(x1) = [1 0 ]x1 + [2] >= [1 0 ]x1 + [2] = b(c(b(b(x1)))) 174.30/44.51 174.30/44.51 [1 0 ] [2] [1 0 ] [2] 174.30/44.51 b(b(c(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = c(a(x1)) 174.30/44.51 174.30/44.51 [2 1] [3] 174.30/44.51 c(c(x1)) = [1 0]x1 + [2] >= x1 = x1 174.30/44.51 problem: 174.30/44.51 DPs: 174.30/44.51 b#(b(c(x1))) -> a#(x1) 174.30/44.51 a#(x1) -> b#(x1)
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