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Haskell 2019-04-01 06.52 pair #433317334
details
property
value
status
complete
benchmark
sum_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n019.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.37754 seconds
cpu usage
10.6286
user time
10.3281
system time
0.30053
max virtual memory
1.8285568E7
max residence set size
584872.0
stage attributes
key
value
starexec-result
YES
output
8.38/3.77 YES 10.58/4.33 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.58/4.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.58/4.33 10.58/4.33 10.58/4.33 H-Termination with start terms of the given HASKELL could be proven: 10.58/4.33 10.58/4.33 (0) HASKELL 10.58/4.33 (1) BR [EQUIVALENT, 0 ms] 10.58/4.33 (2) HASKELL 10.58/4.33 (3) COR [EQUIVALENT, 0 ms] 10.58/4.33 (4) HASKELL 10.58/4.33 (5) Narrow [SOUND, 0 ms] 10.58/4.33 (6) AND 10.58/4.33 (7) QDP 10.58/4.33 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.58/4.33 (9) YES 10.58/4.33 (10) QDP 10.58/4.33 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.58/4.33 (12) YES 10.58/4.33 (13) QDP 10.58/4.33 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.58/4.33 (15) YES 10.58/4.33 (16) QDP 10.58/4.33 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.58/4.33 (18) YES 10.58/4.33 10.58/4.33 10.58/4.33 ---------------------------------------- 10.58/4.33 10.58/4.33 (0) 10.58/4.33 Obligation: 10.58/4.33 mainModule Main 10.58/4.33 module Main where { 10.58/4.33 import qualified Prelude; 10.58/4.33 data Float = Float MyInt MyInt ; 10.58/4.33 10.58/4.33 data List a = Cons a (List a) | Nil ; 10.58/4.33 10.58/4.33 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.58/4.33 10.58/4.33 data Main.Nat = Succ Main.Nat | Zero ; 10.58/4.33 10.58/4.33 data Main.WHNF a = WHNF a ; 10.58/4.33 10.58/4.33 dsEm :: (b -> a) -> b -> a; 10.58/4.33 dsEm f x = Main.seq x (f x); 10.58/4.33 10.58/4.33 enforceWHNF :: Main.WHNF b -> a -> a; 10.58/4.33 enforceWHNF (Main.WHNF x) y = y; 10.58/4.33 10.58/4.33 foldl' :: (a -> b -> a) -> a -> List b -> a; 10.58/4.33 foldl' f a Nil = a; 10.58/4.33 foldl' f a (Cons x xs) = dsEm (foldl' f) (f a x) xs; 10.58/4.33 10.58/4.33 fromIntFloat :: MyInt -> Float; 10.58/4.33 fromIntFloat = primIntToFloat; 10.58/4.33 10.58/4.33 primIntToFloat :: MyInt -> Float; 10.58/4.33 primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero)); 10.58/4.33 10.58/4.33 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 10.58/4.33 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 10.58/4.33 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 10.58/4.33 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 10.58/4.33 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 10.58/4.33 10.58/4.33 primMulInt :: MyInt -> MyInt -> MyInt; 10.58/4.33 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 10.58/4.33 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 10.58/4.33 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 10.58/4.33 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 10.58/4.33 10.58/4.33 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.58/4.33 primMulNat Main.Zero Main.Zero = Main.Zero; 10.58/4.33 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 10.58/4.33 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 10.58/4.33 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 10.58/4.33 10.58/4.33 primPlusFloat :: Float -> Float -> Float; 10.58/4.33 primPlusFloat (Float x1 x2) (Float y1 y2) = Float (psMyInt x1 y1) (srMyInt x2 y2); 10.58/4.33 10.58/4.33 primPlusInt :: MyInt -> MyInt -> MyInt; 10.58/4.33 primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; 10.58/4.33 primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; 10.58/4.33 primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); 10.58/4.33 primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); 10.58/4.33 10.58/4.33 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.58/4.33 primPlusNat Main.Zero Main.Zero = Main.Zero; 10.58/4.33 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 10.58/4.33 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 10.58/4.33 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 10.58/4.33 10.58/4.33 psFloat :: Float -> Float -> Float; 10.58/4.33 psFloat = primPlusFloat; 10.58/4.33 10.58/4.33 psMyInt :: MyInt -> MyInt -> MyInt; 10.58/4.33 psMyInt = primPlusInt; 10.58/4.33
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