Funct Progr 77531 pair #381920927

details

property	value
status	complete
benchmark	enumFromThenTo_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n077.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.41690301895 seconds
cpu usage	14.516407392
max memory	6.43678208E8

stage attributes

key	value
output-size	166973
starexec-result	NO

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files


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


NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could be disproven:

(0) HASKELL
(1) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [COMPLETE, 0 ms]
(6) AND
    (7) QDP
        (8) PisEmptyProof [EQUIVALENT, 0 ms]
        (9) YES
    (10) QDP
        (11) NonTerminationLoopProof [COMPLETE, 0 ms]
        (12) NO
    (13) QDP


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

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data List a = Cons a (List a)  | Nil ;

data MyBool = MyTrue  | MyFalse ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

data Ordering = LT  | EQ  | GT ;

compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
compareMyInt = primCmpInt;

enumFromThenToMyBool :: MyBool  ->  MyBool  ->  MyBool  ->  List MyBool;
enumFromThenToMyBool x y z = map toEnumMyBool (enumFromThenToMyInt (fromEnumMyBool x) (fromEnumMyBool y) (fromEnumMyBool z));

enumFromThenToMyInt :: MyInt  ->  MyInt  ->  MyInt  ->  List MyInt;
enumFromThenToMyInt = numericEnumFromThenTo;

esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
esEsMyInt = primEqInt;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

flip :: (c  ->  b  ->  a)  ->  b  ->  c  ->  a;
flip f x y = f y x;

fromEnumMyBool :: MyBool  ->  MyInt;
fromEnumMyBool MyFalse = Main.Pos Main.Zero;
fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero);

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

gtEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
gtEsMyInt x y = fsEsOrdering (compareMyInt x y) LT;

iterate :: (a  ->  a)  ->  a  ->  List a;
iterate f x = Cons x (iterate f (f x));

ltEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
ltEsMyInt x y = fsEsOrdering (compareMyInt x y) GT;

map :: (b  ->  a)  ->  List b  ->  List a;
map f Nil = Nil;
map f (Cons x xs) = Cons (f x) (map f xs);

msMyInt :: MyInt  ->  MyInt  ->  MyInt;
msMyInt = primMinusInt;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

numericEnumFromThen n m = iterate (psMyInt (msMyInt m n)) n;

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