Haskell 2019-04-01 06.52 pair #433317228

details

property	value
status	complete
benchmark	min_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n160.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.45137 seconds
cpu usage	16.5882
user time	16.1203
system time	0.4679
max virtual memory	1.8288172E7
max residence set size	1097648.0

stage attributes

key	value
starexec-result	YES

output

14.16/5.73	YES
16.32/6.32	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
16.32/6.32	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.32/6.32	
16.32/6.32	
16.32/6.32	H-Termination with start terms of the given HASKELL could be proven:
16.32/6.32	
16.32/6.32	(0) HASKELL
16.32/6.32	(1) BR [EQUIVALENT, 0 ms]
16.32/6.32	(2) HASKELL
16.32/6.32	(3) COR [EQUIVALENT, 0 ms]
16.32/6.32	(4) HASKELL
16.32/6.32	(5) Narrow [SOUND, 0 ms]
16.32/6.32	(6) AND
16.32/6.32	    (7) QDP
16.32/6.32	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.32/6.32	        (9) YES
16.32/6.32	    (10) QDP
16.32/6.32	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.32/6.32	        (12) YES
16.32/6.32	    (13) QDP
16.32/6.32	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.32/6.32	        (15) YES
16.32/6.32	    (16) QDP
16.32/6.32	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.32/6.32	        (18) YES
16.32/6.32	
16.32/6.32	
16.32/6.32	----------------------------------------
16.32/6.32	
16.32/6.32	(0)
16.32/6.32	Obligation:
16.32/6.32	mainModule Main 
16.32/6.32	module Main where {
16.32/6.32	import qualified Prelude;
16.32/6.32	data Float = Float MyInt MyInt ;
16.32/6.32	
16.32/6.32	data MyBool = MyTrue  | MyFalse ;
16.32/6.32	
16.32/6.32	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
16.32/6.32	
16.32/6.32	data Main.Nat = Succ Main.Nat  | Zero ;
16.32/6.32	
16.32/6.32	data Ordering = LT  | EQ  | GT ;
16.32/6.32	
16.32/6.32	compareFloat :: Float  ->  Float  ->  Ordering;
16.32/6.32	compareFloat = primCmpFloat;
16.32/6.32	
16.32/6.32	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
16.32/6.32	compareMyInt = primCmpInt;
16.32/6.32	
16.32/6.32	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
16.32/6.32	esEsOrdering LT LT = MyTrue;
16.32/6.32	esEsOrdering LT EQ = MyFalse;
16.32/6.32	esEsOrdering LT GT = MyFalse;
16.32/6.32	esEsOrdering EQ LT = MyFalse;
16.32/6.32	esEsOrdering EQ EQ = MyTrue;
16.32/6.32	esEsOrdering EQ GT = MyFalse;
16.32/6.32	esEsOrdering GT LT = MyFalse;
16.32/6.32	esEsOrdering GT EQ = MyFalse;
16.32/6.32	esEsOrdering GT GT = MyTrue;
16.32/6.32	
16.32/6.32	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
16.32/6.32	fsEsOrdering x y = not (esEsOrdering x y);
16.32/6.32	
16.32/6.32	ltEsFloat :: Float  ->  Float  ->  MyBool;
16.32/6.32	ltEsFloat x y = fsEsOrdering (compareFloat x y) GT;
16.32/6.32	
16.32/6.32	min0 x y MyTrue = y;
16.32/6.32	
16.32/6.32	min1 x y MyTrue = x;
16.32/6.32	min1 x y MyFalse = min0 x y otherwise;
16.32/6.32	
16.32/6.32	min2 x y = min1 x y (ltEsFloat x y);
16.32/6.32	
16.32/6.32	minFloat :: Float  ->  Float  ->  Float;
16.32/6.32	minFloat x y = min2 x y;
16.32/6.32	
16.32/6.32	not :: MyBool  ->  MyBool;
16.32/6.32	not MyTrue = MyFalse;
16.32/6.32	not MyFalse = MyTrue;
16.32/6.32	
16.32/6.32	otherwise :: MyBool;
16.32/6.32	otherwise = MyTrue;
16.32/6.32	
16.32/6.32	primCmpFloat :: Float  ->  Float  ->  Ordering;
16.32/6.32	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
16.32/6.32	
16.32/6.32	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
16.32/6.32	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
16.32/6.32	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
16.32/6.32	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
16.32/6.32	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
16.32/6.32	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
16.32/6.32	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
16.32/6.32	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
16.32/6.32	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
16.32/6.32	
16.32/6.32	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
16.32/6.32	primCmpNat Main.Zero Main.Zero = EQ;

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