Haskell 2019-04-01 06.52 pair #433317118

details

property	value
status	complete
benchmark	MINUS_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n052.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.25641 seconds
cpu usage	10.1691
user time	9.82934
system time	0.339742
max virtual memory	1.828352E7
max residence set size	599476.0

stage attributes

key	value
starexec-result	YES

output

8.14/3.68	YES
9.94/4.21	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.94/4.21	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.94/4.21	
9.94/4.21	
9.94/4.21	H-Termination with start terms of the given HASKELL could be proven:
9.94/4.21	
9.94/4.21	(0) HASKELL
9.94/4.21	(1) BR [EQUIVALENT, 0 ms]
9.94/4.21	(2) HASKELL
9.94/4.21	(3) COR [EQUIVALENT, 0 ms]
9.94/4.21	(4) HASKELL
9.94/4.21	(5) Narrow [SOUND, 0 ms]
9.94/4.21	(6) AND
9.94/4.21	    (7) QDP
9.94/4.21	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.94/4.21	        (9) YES
9.94/4.21	    (10) QDP
9.94/4.21	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.94/4.21	        (12) YES
9.94/4.21	    (13) QDP
9.94/4.21	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.94/4.21	        (15) YES
9.94/4.21	
9.94/4.21	
9.94/4.21	----------------------------------------
9.94/4.21	
9.94/4.21	(0)
9.94/4.21	Obligation:
9.94/4.21	mainModule Main 
9.94/4.21	module Main where {
9.94/4.21	import qualified Prelude;
9.94/4.21	data Float = Float MyInt MyInt ;
9.94/4.21	
9.94/4.21	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.94/4.21	
9.94/4.21	data Main.Nat = Succ Main.Nat  | Zero ;
9.94/4.21	
9.94/4.21	msFloat :: Float  ->  Float  ->  Float;
9.94/4.21	msFloat = primMinusFloat;
9.94/4.21	
9.94/4.21	msMyInt :: MyInt  ->  MyInt  ->  MyInt;
9.94/4.21	msMyInt = primMinusInt;
9.94/4.21	
9.94/4.21	primMinusFloat :: Float  ->  Float  ->  Float;
9.94/4.21	primMinusFloat (Float x1 x2) (Float y1 y2) = Float (msMyInt x1 y1) (srMyInt x2 y2);
9.94/4.21	
9.94/4.21	primMinusInt :: MyInt  ->  MyInt  ->  MyInt;
9.94/4.21	primMinusInt (Main.Pos x) (Main.Neg y) = Main.Pos (primPlusNat x y);
9.94/4.21	primMinusInt (Main.Neg x) (Main.Pos y) = Main.Neg (primPlusNat x y);
9.94/4.21	primMinusInt (Main.Neg x) (Main.Neg y) = primMinusNat y x;
9.94/4.21	primMinusInt (Main.Pos x) (Main.Pos y) = primMinusNat x y;
9.94/4.21	
9.94/4.21	primMinusNat :: Main.Nat  ->  Main.Nat  ->  MyInt;
9.94/4.21	primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero;
9.94/4.21	primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y);
9.94/4.21	primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x);
9.94/4.21	primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y;
9.94/4.21	
9.94/4.21	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
9.94/4.21	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
9.94/4.21	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
9.94/4.21	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
9.94/4.21	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
9.94/4.21	
9.94/4.21	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
9.94/4.21	primMulNat Main.Zero Main.Zero = Main.Zero;
9.94/4.21	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
9.94/4.21	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
9.94/4.21	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
9.94/4.21	
9.94/4.21	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
9.94/4.21	primPlusNat Main.Zero Main.Zero = Main.Zero;
9.94/4.21	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
9.94/4.21	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
9.94/4.21	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
9.94/4.21	
9.94/4.21	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
9.94/4.21	srMyInt = primMulInt;
9.94/4.21	
9.94/4.21	}
9.94/4.21	
9.94/4.21	----------------------------------------
9.94/4.21	
9.94/4.21	(1) BR (EQUIVALENT)
9.94/4.21	Replaced joker patterns by fresh variables and removed binding patterns.
9.94/4.21	----------------------------------------
9.94/4.21	
9.94/4.21	(2)
9.94/4.21	Obligation:
9.94/4.21	mainModule Main 
9.94/4.21	module Main where {
9.94/4.21	import qualified Prelude;
9.94/4.21	data Float = Float MyInt MyInt ;
9.94/4.21	
9.94/4.21	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.94/4.21	
9.94/4.21	data Main.Nat = Succ Main.Nat  | Zero ;
9.94/4.21	
9.94/4.21	msFloat :: Float  ->  Float  ->  Float;

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actions all output return to Haskell 2019-04-01 06.52