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TRS Standard pair #487071342
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nosorts_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.41013 seconds
cpu usage
3.14259
user time
2.51822
system time
0.624374
max virtual memory
1700052.0
max residence set size
123660.0
stage attributes
key
value
starexec-result
NO
output
NO Problem: zeros() -> cons(0(),n__zeros()) and(tt(),X) -> activate(X) length(nil()) -> 0() length(cons(N,L)) -> s(length(activate(L))) zeros() -> n__zeros() activate(n__zeros()) -> zeros() activate(X) -> X Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [tt] = [0] [0], [1 0 0] [length](x0) = [1 1 0]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [1 0 1] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [1 1 1] [1] [and](x0, x1) = [0 0 0]x0 + [1 1 0]x1 + [0] [0 0 0] [0 0 1] [1], [1] [zeros] = [0] [0], [0] [nil] = [0] [0], [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [0] [activate](x0) = [0 1 0]x0 + [0] [0 0 1] [1], [1] [n__zeros] = [0] [0] orientation: [1] [1] zeros() = [0] >= [0] = cons(0(),n__zeros()) [0] [0] [1 1 1] [1] [1 0 1] [0] and(tt(),X) = [1 1 0]X + [0] >= [0 1 0]X + [0] = activate(X) [0 0 1] [1] [0 0 1] [1] [0] [0] length(nil()) = [0] >= [0] = 0() [0] [0] [1 0 1] [1 0 0] [1 0 1] length(cons(N,L)) = [1 0 1]L + [1 0 0]N >= [0 0 0]L = s(length(activate(L))) [0 0 0] [0 0 0] [0 0 0] [1] [1] zeros() = [0] >= [0] = n__zeros() [0] [0] [1] [1] activate(n__zeros()) = [0] >= [0] = zeros() [1] [0] [1 0 1] [0] activate(X) = [0 1 0]X + [0] >= X = X [0 0 1] [1] problem: zeros() -> cons(0(),n__zeros()) length(nil()) -> 0() length(cons(N,L)) -> s(length(activate(L))) zeros() -> n__zeros() activate(n__zeros()) -> zeros() activate(X) -> X Matrix Interpretation Processor: dim=1 interpretation: [length](x0) = 2x0, [0] = 0, [cons](x0, x1) = 2x0 + x1, [zeros] = 0,
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