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TRS Standard pair #487072652
details
property
value
status
complete
benchmark
6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.84621 seconds
cpu usage
2.28981
user time
1.73295
system time
0.556862
max virtual memory
4270344.0
max residence set size
68556.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: cond(true(),x) -> cond(odd(x),p(x)) odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) p(0()) -> 0() p(s(x)) -> x Proof: DP Processor: DPs: cond#(true(),x) -> p#(x) cond#(true(),x) -> odd#(x) cond#(true(),x) -> cond#(odd(x),p(x)) odd#(s(s(x))) -> odd#(x) TRS: cond(true(),x) -> cond(odd(x),p(x)) odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) p(0()) -> 0() p(s(x)) -> x TDG Processor: DPs: cond#(true(),x) -> p#(x) cond#(true(),x) -> odd#(x) cond#(true(),x) -> cond#(odd(x),p(x)) odd#(s(s(x))) -> odd#(x) TRS: cond(true(),x) -> cond(odd(x),p(x)) odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) p(0()) -> 0() p(s(x)) -> x graph: odd#(s(s(x))) -> odd#(x) -> odd#(s(s(x))) -> odd#(x) cond#(true(),x) -> odd#(x) -> odd#(s(s(x))) -> odd#(x) cond#(true(),x) -> cond#(odd(x),p(x)) -> cond#(true(),x) -> cond#(odd(x),p(x)) cond#(true(),x) -> cond#(odd(x),p(x)) -> cond#(true(),x) -> odd#(x) cond#(true(),x) -> cond#(odd(x),p(x)) -> cond#(true(),x) -> p#(x) SCC Processor: #sccs: 2 #rules: 2 #arcs: 5/16 DPs: cond#(true(),x) -> cond#(odd(x),p(x)) TRS: cond(true(),x) -> cond(odd(x),p(x)) odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) p(0()) -> 0() p(s(x)) -> x Usable Rule Processor: DPs: cond#(true(),x) -> cond#(odd(x),p(x)) TRS: p(0()) -> 0() p(s(x)) -> x odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) Arctic Interpretation Processor: dimension: 1 usable rules: p(0()) -> 0() p(s(x)) -> x odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) interpretation: [0] = 0, [p](x0) = -1x0 + 0, [false] = 0, [true] = 1, [cond#](x0, x1) = x0 + -3x1 + 0, [s](x0) = 1x0 + 6, [odd](x0) = -5x0 + 0 orientation: cond#(true(),x) = -3x + 1 >= -4x + 0 = cond#(odd(x),p(x)) p(0()) = 0 >= 0 = 0() p(s(x)) = x + 5 >= x = x odd(0()) = 0 >= 0 = false() odd(s(0())) = 1 >= 1 = true()
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