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SRS_Standard 2019-03-29 03.29 pair #432291660
details
property
value
status
complete
benchmark
size-11-alpha-3-num-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n156.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
42.9962 seconds
cpu usage
168.528
user time
165.259
system time
3.26814
max virtual memory
7083632.0
max residence set size
90880.0
stage attributes
key
value
starexec-result
YES
output
168.48/42.98 YES 168.48/42.99 168.48/42.99 Problem: 168.48/42.99 a(x1) -> x1 168.48/42.99 a(b(x1)) -> b(b(a(a(c(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 168.48/42.99 Proof: 168.48/42.99 String Reversal Processor: 168.48/42.99 a(x1) -> x1 168.48/42.99 b(a(x1)) -> c(a(a(b(b(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 DP Processor: 168.48/42.99 DPs: 168.48/42.99 b#(a(x1)) -> b#(x1) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) 168.48/42.99 b#(a(x1)) -> a#(b(b(x1))) 168.48/42.99 b#(a(x1)) -> a#(a(b(b(x1)))) 168.48/42.99 b#(a(x1)) -> c#(a(a(b(b(x1))))) 168.48/42.99 TRS: 168.48/42.99 a(x1) -> x1 168.48/42.99 b(a(x1)) -> c(a(a(b(b(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 TDG Processor: 168.48/42.99 DPs: 168.48/42.99 b#(a(x1)) -> b#(x1) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) 168.48/42.99 b#(a(x1)) -> a#(b(b(x1))) 168.48/42.99 b#(a(x1)) -> a#(a(b(b(x1)))) 168.48/42.99 b#(a(x1)) -> c#(a(a(b(b(x1))))) 168.48/42.99 TRS: 168.48/42.99 a(x1) -> x1 168.48/42.99 b(a(x1)) -> c(a(a(b(b(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 graph: 168.48/42.99 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(b(b(x1)))) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 168.48/42.99 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 168.48/42.99 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 168.48/42.99 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(b(x1)))) 168.48/42.99 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) 168.48/42.99 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 168.48/42.99 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 168.48/42.99 SCC Processor: 168.48/42.99 #sccs: 1 168.48/42.99 #rules: 2 168.48/42.99 #arcs: 10/25 168.48/42.99 DPs: 168.48/42.99 b#(a(x1)) -> b#(b(x1)) 168.48/42.99 b#(a(x1)) -> b#(x1) 168.48/42.99 TRS: 168.48/42.99 a(x1) -> x1 168.48/42.99 b(a(x1)) -> c(a(a(b(b(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 Arctic Interpretation Processor: 168.48/42.99 dimension: 2 168.48/42.99 usable rules: 168.48/42.99 a(x1) -> x1 168.48/42.99 b(a(x1)) -> c(a(a(b(b(x1))))) 168.48/42.99 b(x1) -> x1 168.48/42.99 c(c(x1)) -> x1 168.48/42.99 interpretation: 168.48/42.99 [b#](x0) = [1 0]x0 + [2], 168.48/42.99 168.48/42.99 [-& 0 ] [3 ] 168.48/42.99 [c](x0) = [0 1 ]x0 + [-&], 168.48/42.99 168.48/42.99 [0 -&] [0] 168.48/42.99 [b](x0) = [1 0 ]x0 + [1], 168.48/42.99 168.48/42.99 [1 0] [3] 168.48/42.99 [a](x0) = [0 0]x0 + [0] 168.48/42.99 orientation: 168.48/42.99 b#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 + [2] = b#(b(x1)) 168.48/42.99 168.48/42.99 b#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 + [2] = b#(x1) 168.48/42.99 168.48/42.99 [1 0] [3] 168.48/42.99 a(x1) = [0 0]x1 + [0] >= x1 = x1 168.48/42.99 168.48/42.99 [1 0] [3] [1 0] [3] 168.48/42.99 b(a(x1)) = [2 1]x1 + [4] >= [2 1]x1 + [4] = c(a(a(b(b(x1))))) 168.48/42.99 168.48/42.99 [0 -&] [0] 168.48/42.99 b(x1) = [1 0 ]x1 + [1] >= x1 = x1 168.48/42.99 168.48/42.99 [0 1] [3] 168.48/42.99 c(c(x1)) = [1 2]x1 + [3] >= x1 = x1 168.48/42.99 problem: 168.48/42.99 DPs: 168.48/42.99 168.48/42.99 TRS: 168.48/42.99 a(x1) -> x1
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