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TRS Standard pair #487070907
details
property
value
status
complete
benchmark
Ex8_BLR02_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.638173 seconds
cpu usage
1.25246
user time
1.01378
system time
0.238685
max virtual memory
1658300.0
max residence set size
67384.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: fib(N) -> sel(N,fib1(s(0()),s(0()))) fib1(X,Y) -> cons(X,n__fib1(Y,n__add(X,Y))) add(0(),X) -> X add(s(X),Y) -> s(add(X,Y)) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) fib1(X1,X2) -> n__fib1(X1,X2) add(X1,X2) -> n__add(X1,X2) activate(n__fib1(X1,X2)) -> fib1(activate(X1),activate(X2)) activate(n__add(X1,X2)) -> add(activate(X1),activate(X2)) activate(X) -> X Proof: DP Processor: DPs: fib#(N) -> fib1#(s(0()),s(0())) fib#(N) -> sel#(N,fib1(s(0()),s(0()))) add#(s(X),Y) -> add#(X,Y) sel#(s(N),cons(X,XS)) -> activate#(XS) sel#(s(N),cons(X,XS)) -> sel#(N,activate(XS)) activate#(n__fib1(X1,X2)) -> activate#(X2) activate#(n__fib1(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> fib1#(activate(X1),activate(X2)) activate#(n__add(X1,X2)) -> activate#(X2) activate#(n__add(X1,X2)) -> activate#(X1) activate#(n__add(X1,X2)) -> add#(activate(X1),activate(X2)) TRS: fib(N) -> sel(N,fib1(s(0()),s(0()))) fib1(X,Y) -> cons(X,n__fib1(Y,n__add(X,Y))) add(0(),X) -> X add(s(X),Y) -> s(add(X,Y)) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) fib1(X1,X2) -> n__fib1(X1,X2) add(X1,X2) -> n__add(X1,X2) activate(n__fib1(X1,X2)) -> fib1(activate(X1),activate(X2)) activate(n__add(X1,X2)) -> add(activate(X1),activate(X2)) activate(X) -> X TDG Processor: DPs: fib#(N) -> fib1#(s(0()),s(0())) fib#(N) -> sel#(N,fib1(s(0()),s(0()))) add#(s(X),Y) -> add#(X,Y) sel#(s(N),cons(X,XS)) -> activate#(XS) sel#(s(N),cons(X,XS)) -> sel#(N,activate(XS)) activate#(n__fib1(X1,X2)) -> activate#(X2) activate#(n__fib1(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> fib1#(activate(X1),activate(X2)) activate#(n__add(X1,X2)) -> activate#(X2) activate#(n__add(X1,X2)) -> activate#(X1) activate#(n__add(X1,X2)) -> add#(activate(X1),activate(X2)) TRS: fib(N) -> sel(N,fib1(s(0()),s(0()))) fib1(X,Y) -> cons(X,n__fib1(Y,n__add(X,Y))) add(0(),X) -> X add(s(X),Y) -> s(add(X,Y)) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) fib1(X1,X2) -> n__fib1(X1,X2) add(X1,X2) -> n__add(X1,X2) activate(n__fib1(X1,X2)) -> fib1(activate(X1),activate(X2)) activate(n__add(X1,X2)) -> add(activate(X1),activate(X2)) activate(X) -> X graph: activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> add#(activate(X1),activate(X2)) activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> activate#(X2) activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__fib1(X1,X2)) -> fib1#(activate(X1),activate(X2)) activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__fib1(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> activate#(X2) -> activate#(n__fib1(X1,X2)) -> activate#(X2) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__add(X1,X2)) -> add#(activate(X1),activate(X2)) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__add(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__add(X1,X2)) -> activate#(X2) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__fib1(X1,X2)) -> fib1#(activate(X1),activate(X2)) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__fib1(X1,X2)) -> activate#(X1) activate#(n__fib1(X1,X2)) -> activate#(X1) -> activate#(n__fib1(X1,X2)) -> activate#(X2) activate#(n__add(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> add#(activate(X1),activate(X2)) activate#(n__add(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> activate#(X1) activate#(n__add(X1,X2)) -> activate#(X2) -> activate#(n__add(X1,X2)) -> activate#(X2) activate#(n__add(X1,X2)) -> activate#(X2) -> activate#(n__fib1(X1,X2)) -> fib1#(activate(X1),activate(X2)) activate#(n__add(X1,X2)) -> activate#(X2) ->
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