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SRS Standard pair #487085372
details
property
value
status
complete
benchmark
size-12-alpha-3-num-67.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9864 seconds
cpu usage
226.24
user time
222.145
system time
4.09532
max virtual memory
1.1828628E7
max residence set size
102056.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> a#(b(c(c(x1)))) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> c#(x1) EDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(c(c(x1)))) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 5/16 DPs: c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> c#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> a(b(c(c(x1)))) c(x1) -> b(x1) c(b(x1)) -> a(x1) interpretation: [c#](x0) = [0 0]x0, [0 0] [-&] [c](x0) = [2 0]x0 + [0 ], [a#](x0) = [0 0]x0, [0 0] [-&] [a](x0) = [2 2]x0 + [0 ], [0 0] [-&] [b](x0) = [0 0]x0 + [0 ] orientation: c#(b(x1)) = [0 0]x1 + [0] >= [0 0]x1 = a#(x1) a#(a(x1)) = [2 2]x1 + [0] >= [2 0]x1 + [0] = c#(c(x1)) a#(a(x1)) = [2 2]x1 + [0] >= [0 0]x1 = c#(x1) [0 0] [-&] a(x1) = [2 2]x1 + [0 ] >= x1 = x1
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