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TRS Standard pair #516963614
details
property
value
status
complete
benchmark
Ex2_Luc02a_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.122371912 seconds
cpu usage
7.133652551
max memory
1.225641984E9
stage attributes
key
value
output-size
1670
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: terms(N) -> cons(recip(sqr(N)),n__terms(n__s(N))) sqr(0()) -> 0() sqr(s(X)) -> s(add(sqr(X),dbl(X))) dbl(0()) -> 0() dbl(s(X)) -> s(s(dbl(X))) add(0(),X) -> X add(s(X),Y) -> s(add(X,Y)) first(0(),X) -> nil() first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) terms(X) -> n__terms(X) s(X) -> n__s(X) first(X1,X2) -> n__first(X1,X2) activate(n__terms(X)) -> terms(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__first(X1,X2)) -> first(activate(X1),activate(X2)) activate(X) -> X Proof: WPO Processor: algebra: Max weight function: w0 = 0 w(n__terms) = w(terms) = 6 w(cons) = 5 w(n__first) = w(first) = w(recip) = 2 w(activate) = w(0) = w(sqr) = 1 w(nil) = w(add) = w(dbl) = w(s) = w(n__s) = 0 status function: st(first) = st(add) = st(cons) = [1, 0] st(n__first) = [0, 1] st(activate) = [0] st(nil) = [] st(dbl) = st(s) = [0] st(0) = [] st(n__terms) = st(n__s) = st(recip) = st(sqr) = st(terms) = [0] subterm penalty function: sp(n__terms, 0) = sp(sqr, 0) = sp(terms, 0) = 4 sp(add, 1) = 3 sp(n__first, 1) = sp(first, 1) = 1 sp(n__first, 0) = sp(activate, 0) = sp(first, 0) = sp(add, 0) = sp( dbl, 0) = sp(s, 0) = sp(cons, 1) = sp(cons, 0) = sp(n__s, 0) = sp( recip, 0) = 0 precedence: activate > terms > sqr > first ~ dbl > add > s > n__first ~ nil ~ 0 ~ cons ~ n__terms ~ n__s ~ recip problem: Qed
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