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SRS_Standard 2019-03-29 03.29 pair #432291420
details
property
value
status
complete
benchmark
size-12-alpha-3-num-176.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n062.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.6012 seconds
cpu usage
170.754
user time
167.35
system time
3.40366
max virtual memory
7166812.0
max residence set size
88860.0
stage attributes
key
value
starexec-result
YES
output
170.60/43.59 YES 170.60/43.59 170.60/43.59 Problem: 170.60/43.59 a(x1) -> x1 170.60/43.59 a(b(x1)) -> b(a(c(b(a(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 170.60/43.59 Proof: 170.60/43.59 String Reversal Processor: 170.60/43.59 a(x1) -> x1 170.60/43.59 b(a(x1)) -> a(b(c(a(b(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 DP Processor: 170.60/43.59 DPs: 170.60/43.59 b#(a(x1)) -> b#(x1) 170.60/43.59 b#(a(x1)) -> a#(b(x1)) 170.60/43.59 b#(a(x1)) -> c#(a(b(x1))) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) 170.60/43.59 b#(a(x1)) -> a#(b(c(a(b(x1))))) 170.60/43.59 TRS: 170.60/43.59 a(x1) -> x1 170.60/43.59 b(a(x1)) -> a(b(c(a(b(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 TDG Processor: 170.60/43.59 DPs: 170.60/43.59 b#(a(x1)) -> b#(x1) 170.60/43.59 b#(a(x1)) -> a#(b(x1)) 170.60/43.59 b#(a(x1)) -> c#(a(b(x1))) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) 170.60/43.59 b#(a(x1)) -> a#(b(c(a(b(x1))))) 170.60/43.59 TRS: 170.60/43.59 a(x1) -> x1 170.60/43.59 b(a(x1)) -> a(b(c(a(b(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 graph: 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) -> b#(a(x1)) -> a#(b(c(a(b(x1))))) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) -> b#(a(x1)) -> b#(c(a(b(x1)))) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) -> b#(a(x1)) -> c#(a(b(x1))) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) -> b#(a(x1)) -> a#(b(x1)) 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) -> b#(a(x1)) -> b#(x1) 170.60/43.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(c(a(b(x1))))) 170.60/43.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(c(a(b(x1)))) 170.60/43.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) 170.60/43.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) 170.60/43.59 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 170.60/43.59 SCC Processor: 170.60/43.59 #sccs: 1 170.60/43.59 #rules: 2 170.60/43.59 #arcs: 10/25 170.60/43.59 DPs: 170.60/43.59 b#(a(x1)) -> b#(c(a(b(x1)))) 170.60/43.59 b#(a(x1)) -> b#(x1) 170.60/43.59 TRS: 170.60/43.59 a(x1) -> x1 170.60/43.59 b(a(x1)) -> a(b(c(a(b(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 Arctic Interpretation Processor: 170.60/43.59 dimension: 2 170.60/43.59 usable rules: 170.60/43.59 a(x1) -> x1 170.60/43.59 b(a(x1)) -> a(b(c(a(b(x1))))) 170.60/43.59 b(x1) -> x1 170.60/43.59 c(c(c(x1))) -> x1 170.60/43.59 interpretation: 170.60/43.59 [b#](x0) = [-& 2 ]x0 + [0], 170.60/43.59 170.60/43.59 [1 2 ] [0 ] 170.60/43.59 [c](x0) = [-3 -&]x0 + [-&], 170.60/43.59 170.60/43.59 [0 3 ] [-&] 170.60/43.59 [b](x0) = [-& 1 ]x0 + [0 ], 170.60/43.59 170.60/43.59 [0 -&] [-&] 170.60/43.59 [a](x0) = [-2 1 ]x0 + [1 ] 170.60/43.59 orientation: 170.60/43.59 b#(a(x1)) = [0 3]x1 + [3] >= [-1 2 ]x1 + [0] = b#(c(a(b(x1)))) 170.60/43.59 170.60/43.59 b#(a(x1)) = [0 3]x1 + [3] >= [-& 2 ]x1 + [0] = b#(x1) 170.60/43.59 170.60/43.59 [0 -&] [-&] 170.60/43.59 a(x1) = [-2 1 ]x1 + [1 ] >= x1 = x1 170.60/43.59 170.60/43.59 [1 4 ] [4] [1 4 ] [3] 170.60/43.59 b(a(x1)) = [-1 2 ]x1 + [2] >= [-1 2 ]x1 + [1] = a(b(c(a(b(x1))))) 170.60/43.59 170.60/43.59 [0 3 ] [-&] 170.60/43.59 b(x1) = [-& 1 ]x1 + [0 ] >= x1 = x1 170.60/43.59 170.60/43.59 [3 4 ] [2 ] 170.60/43.59 c(c(c(x1))) = [-1 0 ]x1 + [-2] >= x1 = x1 170.60/43.59 problem: 170.60/43.59 DPs: 170.60/43.59 170.60/43.59 TRS: 170.60/43.59 a(x1) -> x1
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