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SRS Standard pair #487083698
details
property
value
status
complete
benchmark
size-12-alpha-3-num-225.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.248 seconds
cpu usage
169.27
user time
166.343
system time
2.92628
max virtual memory
1.184024E7
max residence set size
132332.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 graph: a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 interpretation: [0 2 ] [2 ] [b](x0) = [-& 0 ]x0 + [-&], [a#](x0) = [0 -&]x0, [-&] [a](x0) = x0 + [0 ], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: a#(b(x1)) = [0 2]x1 + [2] >= [-& 0 ]x1 + [0] = a#(c(a(x1))) a#(b(x1)) = [0 2]x1 + [2] >= [0 -&]x1 = a#(x1) [-&] a(x1) = x1 + [0 ] >= x1 = x1 [0 2 ] [2] [0 2 ] [2] a(b(x1)) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b(b(c(a(c(a(x1)))))) [0 2 ] [2 ] b(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 [0] c(c(x1)) = x1 + [0] >= x1 = x1 problem: DPs: a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1))))))
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