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SRS Standard pair #487085516
details
property
value
status
complete
benchmark
size-12-alpha-3-num-31.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.1987 seconds
cpu usage
165.299
user time
162.686
system time
2.61362
max virtual memory
1.1537368E7
max residence set size
89592.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(c(x1))) -> c(c(a(a(x1)))) c(x1) -> x1 Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 DP Processor: DPs: c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 TDG Processor: DPs: c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 graph: c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 interpretation: [c#](x0) = [0 0]x0 + [0], [0 0] [2] [b](x0) = [0 0]x0 + [2], [0 0] [2] [a](x0) = [2 0]x0 + [3], [0 0 ] [0] [c](x0) = [-& 0 ]x0 + [0] orientation: c#(a(b(x1))) = [2 2]x1 + [4] >= [0 0]x1 + [0] = c#(c(x1)) c#(a(b(x1))) = [2 2]x1 + [4] >= [0 0]x1 + [0] = c#(x1) [0 0] [2] a(x1) = [2 0]x1 + [3] >= x1 = x1 [0 0] [2] [0 0] [2] a(x1) = [2 0]x1 + [3] >= [0 0]x1 + [2] = b(b(x1)) [2 2] [4] [2 2] [3] c(a(b(x1))) = [2 2]x1 + [4] >= [2 2]x1 + [4] = a(a(c(c(x1)))) [0 0 ] [0] c(x1) = [-& 0 ]x1 + [0] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1 a(x1) -> b(b(x1)) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> x1 Qed
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