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SRS Standard pair #487084508
details
property
value
status
complete
benchmark
size-12-alpha-3-num-125.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)
46.7807 seconds
cpu usage
182.808
user time
178.689
system time
4.11872
max virtual memory
1.1828588E7
max residence set size
101912.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(x1))) -> c(c(a(c(x1)))) c(c(x1)) -> b(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) DP Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> a#(c(c(x1))) b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) TDG Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> a#(c(c(x1))) b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) graph: c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(c(c(x1))) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(c(x1)) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(c(x1)) -> c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(x1) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(x1) -> c#(c(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/36 DPs: c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) interpretation: [b#](x0) = [0 0]x0 + [1], [-& 0 ] [0 ] [b](x0) = [0 0 ]x0 + [-&], [c#](x0) = [0 0]x0 + [0], [0 0] [1] [a](x0) = [2 2]x0 + [3], [0 0] [1] [c](x0) = [2 0]x0 + [0] orientation: c#(c(x1)) = [2 0]x1 + [1] >= [0 0]x1 + [1] = b#(x1) b#(a(a(x1))) = [4 4]x1 + [5] >= [0 0]x1 + [0] = c#(x1) b#(a(a(x1))) = [4 4]x1 + [5] >= [2 0]x1 + [1] = c#(c(x1)) b#(a(a(x1))) = [4 4]x1 + [5] >= [4 4]x1 + [5] = c#(a(c(c(x1)))) [0 0] [1] a(x1) = [2 2]x1 + [3] >= x1 = x1 [4 4] [5] [4 4] [5] b(a(a(x1))) = [4 4]x1 + [5] >= [4 4]x1 + [5] = c(a(c(c(x1)))) [2 0] [1] [0 0] [1] c(c(x1)) = [2 2]x1 + [3] >= [2 2]x1 + [3] = a(b(x1)) problem: DPs: c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(a(c(c(x1))))
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