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TRS Standard pair #487070557
details
property
value
status
complete
benchmark
Ex1_Luc02b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
19.7672 seconds
cpu usage
75.8266
user time
70.8509
system time
4.97576
max virtual memory
5976572.0
max residence set size
211728.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__from(X) -> cons(mark(X),from(s(X))) a__first(0(),Z) -> nil() a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) a__sel(0(),cons(X,Z)) -> mark(X) a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) mark(from(X)) -> a__from(mark(X)) mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() mark(nil()) -> nil() a__from(X) -> from(X) a__first(X1,X2) -> first(X1,X2) a__sel(X1,X2) -> sel(X1,X2) Proof: DP Processor: DPs: a__from#(X) -> mark#(X) a__first#(s(X),cons(Y,Z)) -> mark#(Y) a__sel#(0(),cons(X,Z)) -> mark#(X) a__sel#(s(X),cons(Y,Z)) -> mark#(Z) a__sel#(s(X),cons(Y,Z)) -> mark#(X) a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) mark#(first(X1,X2)) -> mark#(X2) mark#(first(X1,X2)) -> mark#(X1) mark#(first(X1,X2)) -> a__first#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) TRS: a__from(X) -> cons(mark(X),from(s(X))) a__first(0(),Z) -> nil() a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) a__sel(0(),cons(X,Z)) -> mark(X) a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) mark(from(X)) -> a__from(mark(X)) mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() mark(nil()) -> nil() a__from(X) -> from(X) a__first(X1,X2) -> first(X1,X2) a__sel(X1,X2) -> sel(X1,X2) TDG Processor: DPs: a__from#(X) -> mark#(X) a__first#(s(X),cons(Y,Z)) -> mark#(Y) a__sel#(0(),cons(X,Z)) -> mark#(X) a__sel#(s(X),cons(Y,Z)) -> mark#(Z) a__sel#(s(X),cons(Y,Z)) -> mark#(X) a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) mark#(first(X1,X2)) -> mark#(X2) mark#(first(X1,X2)) -> mark#(X1) mark#(first(X1,X2)) -> a__first#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) TRS: a__from(X) -> cons(mark(X),from(s(X))) a__first(0(),Z) -> nil() a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) a__sel(0(),cons(X,Z)) -> mark(X) a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) mark(from(X)) -> a__from(mark(X)) mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() mark(nil()) -> nil() a__from(X) -> from(X) a__first(X1,X2) -> first(X1,X2) a__sel(X1,X2) -> sel(X1,X2) graph: a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(s(X)) -> mark#(X) a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) a__sel#(0(),cons(X,Z)) -> mark#(X) -> mark#(first(X1,X2)) -> a__first#(mark(X1),mark(X2))
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