details

property	value
status	complete
benchmark	LTEQ_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.26442 seconds
cpu usage	21.0621
user time	20.4426
system time	0.619495
max virtual memory	1.8285568E7
max residence set size	637848.0

stage attributes

key	value
starexec-result	YES

output

8.58/3.70 YES 10.45/4.22 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.45/4.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.45/4.22 10.45/4.22 10.45/4.22 H-Termination with start terms of the given HASKELL could be proven: 10.45/4.22 10.45/4.22 (0) HASKELL 10.45/4.22 (1) BR [EQUIVALENT, 0 ms] 10.45/4.22 (2) HASKELL 10.45/4.22 (3) COR [EQUIVALENT, 0 ms] 10.45/4.22 (4) HASKELL 10.45/4.22 (5) Narrow [SOUND, 0 ms] 10.45/4.22 (6) AND 10.45/4.22 (7) QDP 10.45/4.22 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.45/4.22 (9) YES 10.45/4.22 (10) QDP 10.45/4.22 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.45/4.22 (12) YES 10.45/4.22 (13) QDP 10.45/4.22 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.45/4.22 (15) YES 10.45/4.22 10.45/4.22 10.45/4.22 ---------------------------------------- 10.45/4.22 10.45/4.22 (0) 10.45/4.22 Obligation: 10.45/4.22 mainModule Main 10.45/4.22 module Main where { 10.45/4.22 import qualified Prelude; 10.45/4.22 data MyBool = MyTrue | MyFalse ; 10.45/4.22 10.45/4.22 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.45/4.22 10.45/4.22 data Main.Nat = Succ Main.Nat | Zero ; 10.45/4.22 10.45/4.22 data Ordering = LT | EQ | GT ; 10.45/4.22 10.45/4.22 data Ratio a = CnPc a a ; 10.45/4.22 10.45/4.22 compareMyInt :: MyInt -> MyInt -> Ordering; 10.45/4.22 compareMyInt = primCmpInt; 10.45/4.22 10.45/4.22 compareRatio :: Ratio MyInt -> Ratio MyInt -> Ordering; 10.45/4.22 compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y); 10.45/4.22 10.45/4.22 esEsOrdering :: Ordering -> Ordering -> MyBool; 10.45/4.22 esEsOrdering LT LT = MyTrue; 10.45/4.22 esEsOrdering LT EQ = MyFalse; 10.45/4.22 esEsOrdering LT GT = MyFalse; 10.45/4.22 esEsOrdering EQ LT = MyFalse; 10.45/4.22 esEsOrdering EQ EQ = MyTrue; 10.45/4.22 esEsOrdering EQ GT = MyFalse; 10.45/4.22 esEsOrdering GT LT = MyFalse; 10.45/4.22 esEsOrdering GT EQ = MyFalse; 10.45/4.22 esEsOrdering GT GT = MyTrue; 10.45/4.22 10.45/4.22 fsEsOrdering :: Ordering -> Ordering -> MyBool; 10.45/4.22 fsEsOrdering x y = not (esEsOrdering x y); 10.45/4.22 10.45/4.22 ltEsRatio :: Ratio MyInt -> Ratio MyInt -> MyBool; 10.45/4.22 ltEsRatio x y = fsEsOrdering (compareRatio x y) GT; 10.45/4.22 10.45/4.22 not :: MyBool -> MyBool; 10.45/4.22 not MyTrue = MyFalse; 10.45/4.22 not MyFalse = MyTrue; 10.45/4.22 10.45/4.22 primCmpInt :: MyInt -> MyInt -> Ordering; 10.45/4.22 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 10.45/4.22 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 10.45/4.22 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 10.45/4.22 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 10.45/4.22 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 10.45/4.22 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 10.45/4.22 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 10.45/4.22 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 10.45/4.22 10.45/4.22 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 10.45/4.22 primCmpNat Main.Zero Main.Zero = EQ; 10.45/4.22 primCmpNat Main.Zero (Main.Succ y) = LT; 10.45/4.22 primCmpNat (Main.Succ x) Main.Zero = GT; 10.45/4.22 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 10.45/4.22 10.45/4.22 primMulInt :: MyInt -> MyInt -> MyInt; 10.45/4.22 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 10.45/4.22 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 10.45/4.22 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 10.45/4.22 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 10.45/4.22 10.45/4.22 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.45/4.22 primMulNat Main.Zero Main.Zero = Main.Zero; 10.45/4.22 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 10.45/4.22 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 10.45/4.22 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 10.45/4.22 10.45/4.22 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.45/4.22 primPlusNat Main.Zero Main.Zero = Main.Zero; 10.45/4.22 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Haskell 2019-04-01 06.52