Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487070687
details
property
value
status
complete
benchmark
ExIntrod_GM01_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.9365 seconds
cpu usage
6.234
user time
4.96873
system time
1.26527
max virtual memory
1966728.0
max residence set size
97784.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__incr(nil()) -> nil() a__incr(cons(X,L)) -> cons(s(mark(X)),incr(L)) a__adx(nil()) -> nil() a__adx(cons(X,L)) -> a__incr(cons(mark(X),adx(L))) a__nats() -> a__adx(a__zeros()) a__zeros() -> cons(0(),zeros()) a__head(cons(X,L)) -> mark(X) a__tail(cons(X,L)) -> mark(L) mark(incr(X)) -> a__incr(mark(X)) mark(adx(X)) -> a__adx(mark(X)) mark(nats()) -> a__nats() mark(zeros()) -> a__zeros() mark(head(X)) -> a__head(mark(X)) mark(tail(X)) -> a__tail(mark(X)) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() a__incr(X) -> incr(X) a__adx(X) -> adx(X) a__nats() -> nats() a__zeros() -> zeros() a__head(X) -> head(X) a__tail(X) -> tail(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [s](x0) = x0, [head](x0) = x0 + 1, [a__nats] = 1, [a__incr](x0) = x0, [mark](x0) = x0, [tail](x0) = 3x0 + 2, [incr](x0) = x0, [0] = 0, [nil] = 0, [adx](x0) = x0, [nats] = 1, [a__head](x0) = x0 + 1, [zeros] = 0, [a__zeros] = 0, [a__tail](x0) = 3x0 + 2, [a__adx](x0) = x0, [cons](x0, x1) = 4x0 + x1 orientation: a__incr(nil()) = 0 >= 0 = nil() a__incr(cons(X,L)) = L + 4X >= L + 4X = cons(s(mark(X)),incr(L)) a__adx(nil()) = 0 >= 0 = nil() a__adx(cons(X,L)) = L + 4X >= L + 4X = a__incr(cons(mark(X),adx(L))) a__nats() = 1 >= 0 = a__adx(a__zeros()) a__zeros() = 0 >= 0 = cons(0(),zeros()) a__head(cons(X,L)) = L + 4X + 1 >= X = mark(X) a__tail(cons(X,L)) = 3L + 12X + 2 >= L = mark(L) mark(incr(X)) = X >= X = a__incr(mark(X)) mark(adx(X)) = X >= X = a__adx(mark(X)) mark(nats()) = 1 >= 1 = a__nats() mark(zeros()) = 0 >= 0 = a__zeros() mark(head(X)) = X + 1 >= X + 1 = a__head(mark(X)) mark(tail(X)) = 3X + 2 >= 3X + 2 = a__tail(mark(X)) mark(nil()) = 0 >= 0 = nil() mark(cons(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = cons(mark(X1),X2) mark(s(X)) = X >= X = s(mark(X))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard