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TRS Standard pair #487070187
details
property
value
status
complete
benchmark
ExIntrod_GM01_Z.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)
3.92904 seconds
cpu usage
9.42073
user time
8.67175
system time
0.748988
max virtual memory
2400620.0
max residence set size
232016.0
stage attributes
key
value
starexec-result
NO
output
NO Problem: incr(nil()) -> nil() incr(cons(X,L)) -> cons(s(X),n__incr(activate(L))) adx(nil()) -> nil() adx(cons(X,L)) -> incr(cons(X,n__adx(activate(L)))) nats() -> adx(zeros()) zeros() -> cons(0(),n__zeros()) head(cons(X,L)) -> X tail(cons(X,L)) -> activate(L) incr(X) -> n__incr(X) adx(X) -> n__adx(X) zeros() -> n__zeros() activate(n__incr(X)) -> incr(X) activate(n__adx(X)) -> adx(X) activate(n__zeros()) -> zeros() activate(X) -> X Proof: Matrix Interpretation Processor: dim=1 interpretation: [activate](x0) = x0, [nats] = 0, [incr](x0) = x0, [s](x0) = x0, [n__incr](x0) = x0, [0] = 0, [nil] = 1, [n__adx](x0) = 5x0, [head](x0) = 4x0 + 4, [n__zeros] = 0, [zeros] = 0, [tail](x0) = 2x0 + 4, [adx](x0) = 5x0, [cons](x0, x1) = 2x0 + 4x1 orientation: incr(nil()) = 1 >= 1 = nil() incr(cons(X,L)) = 4L + 2X >= 4L + 2X = cons(s(X),n__incr(activate(L))) adx(nil()) = 5 >= 1 = nil() adx(cons(X,L)) = 20L + 10X >= 20L + 2X = incr(cons(X,n__adx(activate(L)))) nats() = 0 >= 0 = adx(zeros()) zeros() = 0 >= 0 = cons(0(),n__zeros()) head(cons(X,L)) = 16L + 8X + 4 >= X = X tail(cons(X,L)) = 8L + 4X + 4 >= L = activate(L) incr(X) = X >= X = n__incr(X) adx(X) = 5X >= 5X = n__adx(X) zeros() = 0 >= 0 = n__zeros() activate(n__incr(X)) = X >= X = incr(X) activate(n__adx(X)) = 5X >= 5X = adx(X) activate(n__zeros()) = 0 >= 0 = zeros() activate(X) = X >= X = X problem: incr(nil()) -> nil() incr(cons(X,L)) -> cons(s(X),n__incr(activate(L))) adx(cons(X,L)) -> incr(cons(X,n__adx(activate(L)))) nats() -> adx(zeros()) zeros() -> cons(0(),n__zeros()) incr(X) -> n__incr(X) adx(X) -> n__adx(X) zeros() -> n__zeros() activate(n__incr(X)) -> incr(X) activate(n__adx(X)) -> adx(X) activate(n__zeros()) -> zeros() activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [activate](x0) = x0 ,
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