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SRS Standard pair #487084436
details
property
value
status
complete
benchmark
size-12-alpha-3-num-10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.3689 seconds
cpu usage
165.481
user time
162.959
system time
2.52214
max virtual memory
1.1057172E7
max residence set size
132644.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(x1) a(b(c(x1))) -> c(c(a(b(a(x1))))) c(x1) -> x1 Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 DP Processor: DPs: c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> a#(c(c(x1))) c#(b(a(x1))) -> a#(b(a(c(c(x1))))) TRS: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 TDG Processor: DPs: c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> a#(c(c(x1))) c#(b(a(x1))) -> a#(b(a(c(c(x1))))) TRS: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 graph: c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> a#(b(a(c(c(x1))))) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> a#(c(c(x1))) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> a#(b(a(c(c(x1))))) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> a#(c(c(x1))) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 interpretation: [c#](x0) = [1 0]x0, [0 1 ] [b](x0) = [-& 0 ]x0, [0 1] [a](x0) = [0 0]x0, [0 0] [c](x0) = [0 0]x0 orientation: c#(b(a(x1))) = [2 2]x1 >= [1 1]x1 = c#(c(x1)) c#(b(a(x1))) = [2 2]x1 >= [1 0]x1 = c#(x1) [0 1] a(x1) = [0 0]x1 >= x1 = x1 [0 1] [0 1 ] a(x1) = [0 0]x1 >= [-& 0 ]x1 = b(x1) [1 1] [1 1] c(b(a(x1))) = [1 1]x1 >= [1 1]x1 = a(b(a(c(c(x1))))) [0 0] c(x1) = [0 0]x1 >= x1 = x1 problem: DPs: TRS: a(x1) -> x1 a(x1) -> b(x1) c(b(a(x1))) -> a(b(a(c(c(x1))))) c(x1) -> x1 Qed
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