Funct Progr 77531 pair #381920429

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	n046.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.92467093468 seconds
cpu usage	9.391838306
max memory	5.59980544E8

stage attributes

key	value
output-size	5043
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 27 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 :: (c  ->  a)  ->  (b  ->  c)  ->  b  ->  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  ->  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);

}

----------------------------------------

(3) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"

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actions all output return to Funct Progr 77531