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TRS Standard pair #487069817
details
property
value
status
complete
benchmark
Ex6_Luc98_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.71159 seconds
cpu usage
5.60975
user time
4.48671
system time
1.12304
max virtual memory
5702028.0
max residence set size
72652.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__first(0(),X) -> nil() a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) a__from(X) -> cons(mark(X),from(s(X))) mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(0()) -> 0() mark(nil()) -> nil() mark(s(X)) -> s(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) a__first(X1,X2) -> first(X1,X2) a__from(X) -> from(X) Proof: WPO Processor: algebra: Max weight function: w0 = 0 w(from) = 1 w(a__from) = w(first) = w(mark) = w(cons) = w(s) = w(nil) = w(a__first) = w( 0) = 0 status function: st(cons) = st(a__first) = [1, 0] st(from) = st(a__from) = [0] st(first) = [0, 1] st(mark) = st(s) = [0] st(nil) = st(0) = [] subterm penalty function: sp(from, 0) = sp(a__from, 0) = sp(cons, 0) = 1 sp(first, 1) = sp(first, 0) = sp(mark, 0) = sp(cons, 1) = sp(s, 0) = sp( a__first, 1) = sp(a__first, 0) = 0 precedence: mark > a__first > a__from > from ~ first ~ cons ~ s ~ nil ~ 0 problem: Qed
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