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SRS Standard pair #487085150
details
property
value
status
complete
benchmark
size-12-alpha-3-num-366.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.2332 seconds
cpu usage
174.398
user time
171.727
system time
2.6711
max virtual memory
1.1146476E7
max residence set size
132304.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) Proof: DP Processor: DPs: a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> c#(a(a(x1))) a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> c#(a(c(a(a(x1))))) TRS: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) TDG Processor: DPs: a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> c#(a(a(x1))) a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> c#(a(c(a(a(x1))))) TRS: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) graph: a#(b(c(x1))) -> a#(c(a(a(x1)))) -> a#(b(c(x1))) -> c#(a(c(a(a(x1))))) a#(b(c(x1))) -> a#(c(a(a(x1)))) -> a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> a#(c(a(a(x1)))) -> a#(b(c(x1))) -> c#(a(a(x1))) a#(b(c(x1))) -> a#(c(a(a(x1)))) -> a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(c(a(a(x1)))) -> a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(a(c(a(a(x1))))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(a(a(x1))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(a(c(a(a(x1))))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(a(a(x1))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: a#(b(c(x1))) -> a#(c(a(a(x1)))) a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) TRS: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) interpretation: [-& 0 ] [0] [b](x0) = [0 -&]x0 + [0], [a#](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [a](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [2] orientation: a#(b(c(x1))) = [0 1]x1 + [2] >= [-& 0 ]x1 + [0] = a#(c(a(a(x1)))) a#(b(c(x1))) = [0 1]x1 + [2] >= [0 -&]x1 + [0] = a#(x1) a#(b(c(x1))) = [0 1]x1 + [2] >= [-& 0 ]x1 + [0] = a#(a(x1)) [-& 0 ] [0] [-& 0 ] [0] a(x1) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = b(x1) [-& 0 ] [0] [-& 0 ] [0] a(b(c(x1))) = [0 1 ]x1 + [2] >= [0 1 ]x1 + [2] = c(a(c(a(a(x1))))) [-& 0 ] [0] [-& 0 ] [0] c(x1) = [0 1 ]x1 + [2] >= [0 -&]x1 + [0] = b(x1) problem: DPs: a#(b(c(x1))) -> a#(x1) TRS: a(x1) -> b(x1) a(b(c(x1))) -> c(a(c(a(a(x1))))) c(x1) -> b(x1) Restore Modifier:
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