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SRS Standard pair #487083566
details
property
value
status
complete
benchmark
size-12-alpha-3-num-346.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.0141 seconds
cpu usage
168.197
user time
165.42
system time
2.77708
max virtual memory
1.1634112E7
max residence set size
131476.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) Proof: DP Processor: DPs: c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(a(c(c(x1)))) c#(c(a(x1))) -> a#(c(a(c(c(x1))))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) TDG Processor: DPs: c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(a(c(c(x1)))) c#(c(a(x1))) -> a#(c(a(c(c(x1))))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) graph: c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> a#(c(a(c(c(x1))))) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> c#(a(c(c(x1)))) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(a(x1))) -> a#(c(a(c(c(x1))))) c#(c(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(a(x1))) -> c#(a(c(c(x1)))) c#(c(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> a#(c(a(c(c(x1))))) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> c#(a(c(c(x1)))) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) interpretation: [c#](x0) = [2 0]x0 + [0], [-& 0 ] [0] [b](x0) = [0 0 ]x0 + [0], [-& 0 ] [0] [a](x0) = [0 3 ]x0 + [3], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: c#(c(a(x1))) = [2 5]x1 + [5] >= [0 2]x1 + [2] = c#(c(x1)) c#(c(a(x1))) = [2 5]x1 + [5] >= [2 0]x1 + [0] = c#(x1) c#(c(a(x1))) = [2 5]x1 + [5] >= [0 3]x1 + [3] = c#(a(c(c(x1)))) [-& 0 ] [0] [-& 0 ] [0] a(x1) = [0 3 ]x1 + [3] >= [0 0 ]x1 + [0] = b(x1) [0 0] [0] a(b(x1)) = [3 3]x1 + [3] >= x1 = x1 [-& 0 ] [0] [-& 0 ] [0] c(c(a(x1))) = [0 3 ]x1 + [3] >= [0 3 ]x1 + [3] = a(c(a(c(c(x1))))) problem: DPs: c#(c(a(x1))) -> c#(x1) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(a(x1))) -> a(c(a(c(c(x1))))) Restore Modifier:
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