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Haskell pair #487598203
details
property
value
status
complete
benchmark
sequence__1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.23167395592 seconds
cpu usage
9.912923972
max memory
5.73530112E8
stage attributes
key
value
output-size
6931
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 Main.Maybe a = Nothing | Just a ; data Tup0 = Tup0 ; foldr :: (a -> b -> b) -> b -> List a -> b; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); gtGt0 q vv = q; gtGtEsMaybe :: Main.Maybe b -> (b -> Main.Maybe a) -> Main.Maybe a; gtGtEsMaybe (Main.Just x) k = k x; gtGtEsMaybe Main.Nothing k = Main.Nothing; gtGtMaybe :: Main.Maybe a -> Main.Maybe b -> Main.Maybe b; gtGtMaybe p q = gtGtEsMaybe p (gtGt0 q); returnMaybe :: a -> Main.Maybe a; returnMaybe = Main.Just; sequence_ = foldr gtGtMaybe (returnMaybe Tup0); } ---------------------------------------- (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 Main.Maybe a = Nothing | Just a ; data Tup0 = Tup0 ; foldr :: (a -> b -> b) -> b -> List a -> b; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); gtGt0 q vv = q; gtGtEsMaybe :: Main.Maybe a -> (a -> Main.Maybe b) -> Main.Maybe b; gtGtEsMaybe (Main.Just x) k = k x; gtGtEsMaybe Main.Nothing k = Main.Nothing; gtGtMaybe :: Main.Maybe b -> Main.Maybe a -> Main.Maybe a; gtGtMaybe p q = gtGtEsMaybe p (gtGt0 q); returnMaybe :: a -> Main.Maybe a; returnMaybe = Main.Just; sequence_ = foldr gtGtMaybe (returnMaybe Tup0); } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined;
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