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Haskell pair #487598198
details
property
value
status
complete
benchmark
realToFrac_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n155.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.16263318062 seconds
cpu usage
9.661808053
max memory
5.6784896E8
stage attributes
key
value
output-size
5039
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 [EQUIVALENT, 29 ms] (6) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data Integer = Integer MyInt ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; data Ratio a = CnPc a a ; fromIntegerMyInt :: Integer -> MyInt; fromIntegerMyInt (Integer x) = x; fromRational (CnPc x y) = CnPc (fromIntegerMyInt x) (fromIntegerMyInt y); pt :: (b -> a) -> (c -> b) -> c -> a; pt f g x = f (g x); realToFrac = pt fromRational toRational; toIntegerMyInt :: MyInt -> Integer; toIntegerMyInt x = Integer x; toRational (CnPc x y) = CnPc (toIntegerMyInt x) (toIntegerMyInt y); } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data Integer = Integer MyInt ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; data Ratio a = CnPc a a ; fromIntegerMyInt :: Integer -> MyInt; fromIntegerMyInt (Integer x) = x; fromRational (CnPc x y) = CnPc (fromIntegerMyInt x) (fromIntegerMyInt y); pt :: (b -> c) -> (a -> b) -> a -> c; pt f g x = f (g x); realToFrac = pt fromRational toRational; toIntegerMyInt :: MyInt -> Integer; toIntegerMyInt x = Integer x; toRational (CnPc x y) = CnPc (toIntegerMyInt x) (toIntegerMyInt y); } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; "
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