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TRS Standard pair #487070622
details
property
value
status
complete
benchmark
Ex26_Luc03b_L.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)
0.456407 seconds
cpu usage
0.752435
user time
0.502745
system time
0.24969
max virtual memory
96176.0
max residence set size
60032.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: terms(N) -> cons(recip(sqr(N))) sqr(0()) -> 0() sqr(s()) -> s() dbl(0()) -> 0() dbl(s()) -> s() add(0(),X) -> X add(s(),Y) -> s() first(0(),X) -> nil() first(s(),cons(Y)) -> cons(Y) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1] [0] = [1] [0], [1 0 0] [1 0 0] [first](x0, x1) = [0 1 0]x0 + [0 1 0]x1 [0 0 0] [0 0 0] , [1 0 0] [sqr](x0) = [0 1 0]x0 [0 1 0] , [1 0 0] [cons](x0) = [0 1 0]x0 [0 0 0] , [1] [s] = [0] [0], [1 1 0] [terms](x0) = [1 1 0]x0 [0 0 0] , [1 0 0] [add](x0, x1) = [0 0 0]x0 + x1 [0 0 0] , [0] [nil] = [0] [0], [1 0 0] [dbl](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [recip](x0) = [0 0 1]x0 [0 0 0] orientation: [1 1 0] [1 0 0] terms(N) = [1 1 0]N >= [0 1 0]N = cons(recip(sqr(N))) [0 0 0] [0 0 0] [1] [1] sqr(0()) = [1] >= [1] = 0() [1] [0] [1] [1] sqr(s()) = [0] >= [0] = s() [0] [0] [1] [1] dbl(0()) = [1] >= [1] = 0() [0] [0] [1] [1] dbl(s()) = [0] >= [0] = s() [0] [0] [1] add(0(),X) = X + [0] >= X = X [0] [1] [1] add(s(),Y) = Y + [0] >= [0] = s() [0] [0] [1 0 0] [1] [0] first(0(),X) = [0 1 0]X + [1] >= [0] = nil() [0 0 0] [0] [0] [1 0 0] [1] [1 0 0] first(s(),cons(Y)) = [0 1 0]Y + [0] >= [0 1 0]Y = cons(Y) [0 0 0] [0] [0 0 0] problem: terms(N) -> cons(recip(sqr(N))) sqr(0()) -> 0() sqr(s()) -> s() dbl(0()) -> 0() dbl(s()) -> s() add(s(),Y) -> s() Matrix Interpretation Processor: dim=3
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