Haskell 2019-04-01 06.52 pair #433317335

details

property	value
status	complete
benchmark	EQEQ_6.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.30343 seconds
cpu usage	10.0705
user time	9.74898
system time	0.321508
max virtual memory	1.8288404E7
max residence set size	596912.0

stage attributes

key	value
starexec-result	YES

output

7.94/3.66	YES
9.77/4.16	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.77/4.16	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.77/4.16	
9.77/4.16	
9.77/4.16	H-Termination with start terms of the given HASKELL could be proven:
9.77/4.16	
9.77/4.16	(0) HASKELL
9.77/4.16	(1) BR [EQUIVALENT, 0 ms]
9.77/4.16	(2) HASKELL
9.77/4.16	(3) COR [EQUIVALENT, 0 ms]
9.77/4.16	(4) HASKELL
9.77/4.16	(5) Narrow [SOUND, 0 ms]
9.77/4.16	(6) QDP
9.77/4.16	(7) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.77/4.16	(8) YES
9.77/4.16	
9.77/4.16	
9.77/4.16	----------------------------------------
9.77/4.16	
9.77/4.16	(0)
9.77/4.16	Obligation:
9.77/4.16	mainModule Main 
9.77/4.16	module Main where {
9.77/4.16	import qualified Prelude;
9.77/4.16	data MyBool = MyTrue  | MyFalse ;
9.77/4.16	
9.77/4.16	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.77/4.16	
9.77/4.16	data Main.Nat = Succ Main.Nat  | Zero ;
9.77/4.16	
9.77/4.16	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
9.77/4.16	esEsMyInt = primEqInt;
9.77/4.16	
9.77/4.16	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
9.77/4.16	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
9.77/4.16	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
9.77/4.16	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.77/4.16	primEqInt vv vw = MyFalse;
9.77/4.16	
9.77/4.16	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
9.77/4.16	primEqNat Main.Zero Main.Zero = MyTrue;
9.77/4.16	primEqNat Main.Zero (Main.Succ y) = MyFalse;
9.77/4.16	primEqNat (Main.Succ x) Main.Zero = MyFalse;
9.77/4.16	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
9.77/4.16	
9.77/4.16	}
9.77/4.16	
9.77/4.16	----------------------------------------
9.77/4.16	
9.77/4.16	(1) BR (EQUIVALENT)
9.77/4.16	Replaced joker patterns by fresh variables and removed binding patterns.
9.77/4.16	----------------------------------------
9.77/4.16	
9.77/4.16	(2)
9.77/4.16	Obligation:
9.77/4.16	mainModule Main 
9.77/4.16	module Main where {
9.77/4.16	import qualified Prelude;
9.77/4.16	data MyBool = MyTrue  | MyFalse ;
9.77/4.16	
9.77/4.16	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.77/4.16	
9.77/4.16	data Main.Nat = Succ Main.Nat  | Zero ;
9.77/4.16	
9.77/4.16	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
9.77/4.16	esEsMyInt = primEqInt;
9.77/4.16	
9.77/4.16	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
9.77/4.16	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
9.77/4.16	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
9.77/4.16	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.77/4.16	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.77/4.16	primEqInt vv vw = MyFalse;
9.77/4.16	
9.77/4.16	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
9.77/4.16	primEqNat Main.Zero Main.Zero = MyTrue;
9.77/4.16	primEqNat Main.Zero (Main.Succ y) = MyFalse;
9.77/4.16	primEqNat (Main.Succ x) Main.Zero = MyFalse;
9.77/4.16	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
9.77/4.16	
9.77/4.16	}
9.77/4.16	
9.77/4.16	----------------------------------------
9.77/4.16	
9.77/4.16	(3) COR (EQUIVALENT)
9.77/4.16	Cond Reductions:
9.77/4.16	The following Function with conditions
9.77/4.16	"undefined |Falseundefined;
9.77/4.16	"
9.77/4.16	is transformed to
9.77/4.16	"undefined  = undefined1;
9.77/4.16	"
9.77/4.16	"undefined0 True = undefined;
9.77/4.16	"

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