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Haskell pair #487598148
details
property
value
status
complete
benchmark
unzip3_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.22166705132 seconds
cpu usage
9.813394925
max memory
6.26225152E8
stage attributes
key
value
output-size
7564
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) QDP (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data Tup3 c b a = Tup3 c b a ; foldr :: (b -> a -> a) -> a -> List b -> a; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); unzip3 :: List (Tup3 b a c) -> Tup3 (List b) (List a) (List c); unzip3 = foldr unzip30 (Tup3 Nil Nil Nil); unzip30 (Tup3 a b c) vv = Tup3 (Cons a (unzip300 vv)) (Cons b (unzip301 vv)) (Cons c (unzip302 vv)); unzip300 (Tup3 as bs cs) = as; unzip301 (Tup3 as bs cs) = bs; unzip302 (Tup3 as bs cs) = cs; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data Tup3 b a c = Tup3 b a c ; foldr :: (b -> a -> a) -> a -> List b -> a; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); unzip3 :: List (Tup3 a b c) -> Tup3 (List a) (List b) (List c); unzip3 = foldr unzip30 (Tup3 Nil Nil Nil); unzip30 (Tup3 a b c) vv = Tup3 (Cons a (unzip300 vv)) (Cons b (unzip301 vv)) (Cons c (unzip302 vv)); unzip300 (Tup3 as bs cs) = as; unzip301 (Tup3 as bs cs) = bs; unzip302 (Tup3 as bs cs) = cs; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ----------------------------------------
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