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Haskell 2019-04-01 06.52 pair #433317352
details
property
value
status
complete
benchmark
GTEQ_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.08054 seconds
cpu usage
9.90639
user time
9.62727
system time
0.279127
max virtual memory
1.828352E7
max residence set size
575204.0
stage attributes
key
value
starexec-result
YES
output
7.79/3.52 YES 9.82/4.04 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.82/4.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.82/4.04 9.82/4.04 9.82/4.04 H-Termination with start terms of the given HASKELL could be proven: 9.82/4.04 9.82/4.04 (0) HASKELL 9.82/4.04 (1) BR [EQUIVALENT, 0 ms] 9.82/4.04 (2) HASKELL 9.82/4.04 (3) COR [EQUIVALENT, 0 ms] 9.82/4.04 (4) HASKELL 9.82/4.04 (5) Narrow [SOUND, 0 ms] 9.82/4.04 (6) QDP 9.82/4.04 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.82/4.04 (8) YES 9.82/4.04 9.82/4.04 9.82/4.04 ---------------------------------------- 9.82/4.04 9.82/4.04 (0) 9.82/4.04 Obligation: 9.82/4.04 mainModule Main 9.82/4.04 module Main where { 9.82/4.04 import qualified Prelude; 9.82/4.04 data Main.Char = Char MyInt ; 9.82/4.04 9.82/4.04 data MyBool = MyTrue | MyFalse ; 9.82/4.04 9.82/4.04 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.82/4.04 9.82/4.04 data Main.Nat = Succ Main.Nat | Zero ; 9.82/4.04 9.82/4.04 data Ordering = LT | EQ | GT ; 9.82/4.04 9.82/4.04 compareChar :: Main.Char -> Main.Char -> Ordering; 9.82/4.04 compareChar = primCmpChar; 9.82/4.04 9.82/4.04 esEsOrdering :: Ordering -> Ordering -> MyBool; 9.82/4.04 esEsOrdering LT LT = MyTrue; 9.82/4.04 esEsOrdering LT EQ = MyFalse; 9.82/4.04 esEsOrdering LT GT = MyFalse; 9.82/4.04 esEsOrdering EQ LT = MyFalse; 9.82/4.04 esEsOrdering EQ EQ = MyTrue; 9.82/4.04 esEsOrdering EQ GT = MyFalse; 9.82/4.04 esEsOrdering GT LT = MyFalse; 9.82/4.04 esEsOrdering GT EQ = MyFalse; 9.82/4.04 esEsOrdering GT GT = MyTrue; 9.82/4.04 9.82/4.04 fsEsOrdering :: Ordering -> Ordering -> MyBool; 9.82/4.04 fsEsOrdering x y = not (esEsOrdering x y); 9.82/4.04 9.82/4.04 gtEsChar :: Main.Char -> Main.Char -> MyBool; 9.82/4.04 gtEsChar x y = fsEsOrdering (compareChar x y) LT; 9.82/4.04 9.82/4.04 not :: MyBool -> MyBool; 9.82/4.04 not MyTrue = MyFalse; 9.82/4.04 not MyFalse = MyTrue; 9.82/4.04 9.82/4.04 primCmpChar :: Main.Char -> Main.Char -> Ordering; 9.82/4.04 primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y; 9.82/4.04 9.82/4.04 primCmpInt :: MyInt -> MyInt -> Ordering; 9.82/4.04 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 9.82/4.04 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 9.82/4.04 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 9.82/4.04 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 9.82/4.04 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 9.82/4.04 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 9.82/4.04 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 9.82/4.04 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 9.82/4.04 9.82/4.04 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 9.82/4.04 primCmpNat Main.Zero Main.Zero = EQ; 9.82/4.04 primCmpNat Main.Zero (Main.Succ y) = LT; 9.82/4.04 primCmpNat (Main.Succ x) Main.Zero = GT; 9.82/4.04 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 9.82/4.04 9.82/4.04 } 9.82/4.04 9.82/4.04 ---------------------------------------- 9.82/4.04 9.82/4.04 (1) BR (EQUIVALENT) 9.82/4.04 Replaced joker patterns by fresh variables and removed binding patterns. 9.82/4.04 ---------------------------------------- 9.82/4.04 9.82/4.04 (2) 9.82/4.04 Obligation: 9.82/4.04 mainModule Main 9.82/4.04 module Main where { 9.82/4.04 import qualified Prelude; 9.82/4.04 data Main.Char = Char MyInt ; 9.82/4.04 9.82/4.04 data MyBool = MyTrue | MyFalse ; 9.82/4.04 9.82/4.04 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.82/4.04 9.82/4.04 data Main.Nat = Succ Main.Nat | Zero ; 9.82/4.04 9.82/4.04 data Ordering = LT | EQ | GT ;
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