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SRS Standard pair #487084538
details
property
value
status
complete
benchmark
size-12-alpha-3-num-186.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.6348 seconds
cpu usage
170.989
user time
168.354
system time
2.63467
max virtual memory
1.144004E7
max residence set size
89364.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(x1))) b(x1) -> c(a(c(x1))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> b#(a(x1)) a#(b(x1)) -> b#(b(a(x1))) b#(x1) -> c#(x1) b#(x1) -> a#(c(x1)) b#(x1) -> c#(a(c(x1))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(a(x1))) b(x1) -> c(a(c(x1))) c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> b#(a(x1)) a#(b(x1)) -> b#(b(a(x1))) b#(x1) -> c#(x1) b#(x1) -> a#(c(x1)) b#(x1) -> c#(a(c(x1))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(a(x1))) b(x1) -> c(a(c(x1))) c(c(x1)) -> x1 graph: b#(x1) -> a#(c(x1)) -> a#(b(x1)) -> b#(b(a(x1))) b#(x1) -> a#(c(x1)) -> a#(b(x1)) -> b#(a(x1)) b#(x1) -> a#(c(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> b#(b(a(x1))) -> b#(x1) -> c#(a(c(x1))) a#(b(x1)) -> b#(b(a(x1))) -> b#(x1) -> a#(c(x1)) a#(b(x1)) -> b#(b(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> b#(a(x1)) -> b#(x1) -> c#(a(c(x1))) a#(b(x1)) -> b#(a(x1)) -> b#(x1) -> a#(c(x1)) a#(b(x1)) -> b#(a(x1)) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(x1) -> a#(c(x1)) a#(b(x1)) -> a#(x1) a#(b(x1)) -> b#(a(x1)) a#(b(x1)) -> b#(b(a(x1))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(a(x1))) b(x1) -> c(a(c(x1))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> b(b(a(x1))) b(x1) -> c(a(c(x1))) c(c(x1)) -> x1 interpretation: [b#](x0) = [-& 0 ]x0 + [0], [0 2 ] [2] [b](x0) = [-& 0 ]x0 + [0], [a#](x0) = [0 -&]x0 + [-4], [0 -&] [-&] [a](x0) = [-2 0 ]x0 + [0 ], [-& 0 ] [0 ] [c](x0) = [0 -&]x0 + [-&] orientation: b#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = a#(c(x1)) a#(b(x1)) = [0 2]x1 + [2] >= [0 -&]x1 + [-4] = a#(x1) a#(b(x1)) = [0 2]x1 + [2] >= [-2 0 ]x1 + [0] = b#(a(x1)) a#(b(x1)) = [0 2]x1 + [2] >= [-2 0 ]x1 + [0] = b#(b(a(x1))) [0 -&] [-&] a(x1) = [-2 0 ]x1 + [0 ] >= x1 = x1 [0 2 ] [2] [0 2 ] [2] a(b(x1)) = [-2 0 ]x1 + [0] >= [-2 0 ]x1 + [0] = b(b(a(x1))) [0 2 ] [2] [0 -2] [0] b(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = c(a(c(x1)))
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