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SRS_Standard 2019-03-29 03.29 pair #432289824
details
property
value
status
complete
benchmark
size-12-alpha-3-num-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
42.4571 seconds
cpu usage
166.26
user time
163.222
system time
3.03791
max virtual memory
6874164.0
max residence set size
91992.0
stage attributes
key
value
starexec-result
YES
output
166.19/42.44 YES 166.19/42.45 166.19/42.45 Problem: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 b(a(c(x1))) -> c(c(a(a(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 166.19/42.45 Proof: 166.19/42.45 String Reversal Processor: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 DP Processor: 166.19/42.45 DPs: 166.19/42.45 c#(a(b(x1))) -> c#(x1) 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) 166.19/42.45 c#(a(b(x1))) -> a#(c(c(x1))) 166.19/42.45 c#(a(b(x1))) -> a#(a(c(c(x1)))) 166.19/42.45 TRS: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 TDG Processor: 166.19/42.45 DPs: 166.19/42.45 c#(a(b(x1))) -> c#(x1) 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) 166.19/42.45 c#(a(b(x1))) -> a#(c(c(x1))) 166.19/42.45 c#(a(b(x1))) -> a#(a(c(c(x1)))) 166.19/42.45 TRS: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 graph: 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(c(c(x1))) 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1)) 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1) 166.19/42.45 c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) 166.19/42.45 c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(c(c(x1))) 166.19/42.45 c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1)) 166.19/42.45 c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1) 166.19/42.45 SCC Processor: 166.19/42.45 #sccs: 1 166.19/42.45 #rules: 2 166.19/42.45 #arcs: 8/16 166.19/42.45 DPs: 166.19/42.45 c#(a(b(x1))) -> c#(c(x1)) 166.19/42.45 c#(a(b(x1))) -> c#(x1) 166.19/42.45 TRS: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 Arctic Interpretation Processor: 166.19/42.45 dimension: 2 166.19/42.45 usable rules: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 interpretation: 166.19/42.45 [c#](x0) = [-& 3 ]x0 + [0], 166.19/42.45 166.19/42.45 [-& 1 ] [0] 166.19/42.45 [c](x0) = [-& 0 ]x0 + [0], 166.19/42.45 166.19/42.45 [-& 1 ] [0] 166.19/42.45 [b](x0) = [-& -&]x0 + [0], 166.19/42.45 166.19/42.45 [0 1] [0] 166.19/42.45 [a](x0) = [0 0]x0 + [1] 166.19/42.45 orientation: 166.19/42.45 c#(a(b(x1))) = [-& 4 ]x1 + [4] >= [-& 3 ]x1 + [3] = c#(c(x1)) 166.19/42.45 166.19/42.45 c#(a(b(x1))) = [-& 4 ]x1 + [4] >= [-& 3 ]x1 + [0] = c#(x1) 166.19/42.45 166.19/42.45 [0 1] [0] 166.19/42.45 a(x1) = [0 0]x1 + [1] >= x1 = x1 166.19/42.45 166.19/42.45 [0 1] [0] [-& 1 ] [0] 166.19/42.45 a(x1) = [0 0]x1 + [1] >= [-& -&]x1 + [0] = b(x1) 166.19/42.45 166.19/42.45 [-& 2 ] [2] [-& 2 ] [2] 166.19/42.45 c(a(b(x1))) = [-& 1 ]x1 + [1] >= [-& 1 ]x1 + [1] = a(a(c(c(x1)))) 166.19/42.45 166.19/42.45 [-& 1 ] [0] [-& 1 ] [0] 166.19/42.45 c(x1) = [-& 0 ]x1 + [0] >= [-& -&]x1 + [0] = b(x1) 166.19/42.45 problem: 166.19/42.45 DPs: 166.19/42.45 166.19/42.45 TRS: 166.19/42.45 a(x1) -> x1 166.19/42.45 a(x1) -> b(x1) 166.19/42.45 c(a(b(x1))) -> a(a(c(c(x1)))) 166.19/42.45 c(x1) -> b(x1) 166.19/42.45 Qed
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