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SRS Standard pair #487083848
details
property
value
status
complete
benchmark
size-12-alpha-3-num-414.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.982 seconds
cpu usage
177.889
user time
174.766
system time
3.12352
max virtual memory
1.1634316E7
max residence set size
132516.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) b(b(c(x1))) -> c(a(c(b(a(x1))))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> b#(a(x1)) b#(b(c(x1))) -> c#(b(a(x1))) b#(b(c(x1))) -> a#(c(b(a(x1)))) b#(b(c(x1))) -> c#(a(c(b(a(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(a(c(b(a(x1))))) c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> b#(a(x1)) b#(b(c(x1))) -> c#(b(a(x1))) b#(b(c(x1))) -> a#(c(b(a(x1)))) b#(b(c(x1))) -> c#(a(c(b(a(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(a(c(b(a(x1))))) c(c(x1)) -> x1 graph: b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> c#(a(c(b(a(x1))))) b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> a#(c(b(a(x1)))) b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> c#(b(a(x1))) b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> b#(a(x1)) b#(b(c(x1))) -> b#(a(x1)) -> b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> a#(c(b(a(x1)))) -> a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(c(b(a(x1))))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(c(b(a(x1)))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(b(a(x1))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(a(x1)) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(b(c(x1))) -> b#(a(x1)) b#(b(c(x1))) -> a#(x1) a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(c(b(a(x1)))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(a(c(b(a(x1))))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 3 usable rules: a(x1) -> b(x1) b(b(c(x1))) -> c(a(c(b(a(x1))))) c(c(x1)) -> x1 interpretation: [b#](x0) = [-& 0 -&]x0 + [0], [0 0 0 ] [0] [b](x0) = [-& -& 0 ]x0 + [0] [-& 0 -&] [0], [a#](x0) = [-& 0 -&]x0 + [0], [0 0 0 ] [0] [a](x0) = [-& -& 0 ]x0 + [0] [-& 0 -&] [0], [0 0 0 ] [-&] [c](x0) = [-& -& 0 ]x0 + [0 ] [0 0 1 ] [1 ] orientation: b#(b(c(x1))) = [0 0 1]x1 + [1] >= [-& -& 0 ]x1 + [0] = b#(a(x1)) b#(b(c(x1))) = [0 0 1]x1 + [1] >= [-& 0 -&]x1 + [0] = a#(x1) a#(x1) = [-& 0 -&]x1 + [0] >= [-& 0 -&]x1 + [0] = b#(x1) b#(b(c(x1))) = [0 0 1]x1 + [1] >= [-& -& 0 ]x1 + [0] = a#(c(b(a(x1)))) [0 0 0 ] [0] [0 0 0 ] [0] a(x1) = [-& -& 0 ]x1 + [0] >= [-& -& 0 ]x1 + [0] = b(x1) [-& 0 -&] [0] [-& 0 -&] [0] [0 0 1 ] [1] [0 0 1 ] [1] b(b(c(x1))) = [-& -& 0 ]x1 + [0] >= [-& -& 0 ]x1 + [0] = c(a(c(b(a(x1))))) [0 0 1 ] [1] [0 0 1 ] [1] [0 0 1] [1] c(c(x1)) = [0 0 1]x1 + [1] >= x1 = x1 [1 1 2] [2]
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