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Haskell 2019-04-01 06.52 pair #433317398
details
property
value
status
complete
benchmark
isLower_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n132.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.3763 seconds
cpu usage
24.9889
user time
23.8635
system time
1.12532
max virtual memory
1.8285568E7
max residence set size
3928164.0
stage attributes
key
value
starexec-result
YES
output
22.20/11.60 YES 24.80/12.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 24.80/12.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.80/12.32 24.80/12.32 24.80/12.32 H-Termination with start terms of the given HASKELL could be proven: 24.80/12.32 24.80/12.32 (0) HASKELL 24.80/12.32 (1) BR [EQUIVALENT, 0 ms] 24.80/12.32 (2) HASKELL 24.80/12.32 (3) COR [EQUIVALENT, 0 ms] 24.80/12.32 (4) HASKELL 24.80/12.32 (5) Narrow [SOUND, 0 ms] 24.80/12.32 (6) AND 24.80/12.32 (7) QDP 24.80/12.32 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.80/12.32 (9) YES 24.80/12.32 (10) QDP 24.80/12.32 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.80/12.32 (12) YES 24.80/12.32 (13) QDP 24.80/12.32 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.80/12.32 (15) YES 24.80/12.32 (16) QDP 24.80/12.32 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.80/12.32 (18) YES 24.80/12.32 24.80/12.32 24.80/12.32 ---------------------------------------- 24.80/12.32 24.80/12.32 (0) 24.80/12.32 Obligation: 24.80/12.32 mainModule Main 24.80/12.32 module Main where { 24.80/12.32 import qualified Prelude; 24.80/12.32 data Main.Char = Char MyInt ; 24.80/12.32 24.80/12.32 data MyBool = MyTrue | MyFalse ; 24.80/12.32 24.80/12.32 data MyInt = Pos Main.Nat | Neg Main.Nat ; 24.80/12.32 24.80/12.32 data Main.Nat = Succ Main.Nat | Zero ; 24.80/12.32 24.80/12.32 data Ordering = LT | EQ | GT ; 24.80/12.32 24.80/12.32 asAs :: MyBool -> MyBool -> MyBool; 24.80/12.32 asAs MyFalse x = MyFalse; 24.80/12.32 asAs MyTrue x = x; 24.80/12.32 24.80/12.32 compareChar :: Main.Char -> Main.Char -> Ordering; 24.80/12.32 compareChar = primCmpChar; 24.80/12.32 24.80/12.32 esEsOrdering :: Ordering -> Ordering -> MyBool; 24.80/12.32 esEsOrdering LT LT = MyTrue; 24.80/12.32 esEsOrdering LT EQ = MyFalse; 24.80/12.32 esEsOrdering LT GT = MyFalse; 24.80/12.32 esEsOrdering EQ LT = MyFalse; 24.80/12.32 esEsOrdering EQ EQ = MyTrue; 24.80/12.32 esEsOrdering EQ GT = MyFalse; 24.80/12.32 esEsOrdering GT LT = MyFalse; 24.80/12.32 esEsOrdering GT EQ = MyFalse; 24.80/12.32 esEsOrdering GT GT = MyTrue; 24.80/12.32 24.80/12.32 fsEsOrdering :: Ordering -> Ordering -> MyBool; 24.80/12.32 fsEsOrdering x y = not (esEsOrdering x y); 24.80/12.32 24.80/12.32 gtEsChar :: Main.Char -> Main.Char -> MyBool; 24.80/12.32 gtEsChar x y = fsEsOrdering (compareChar x y) LT; 24.80/12.32 24.80/12.32 isLower :: Main.Char -> MyBool; 24.80/12.32 isLower c = pePe (asAs (gtEsChar c (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ 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(Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (pePe (asAs (gtEsChar c (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ 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(Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))); 24.80/12.33 24.80/12.33 ltEsChar :: Main.Char -> Main.Char -> MyBool; 24.80/12.33 ltEsChar x y = fsEsOrdering (compareChar x y) GT; 24.80/12.33 24.80/12.33 not :: MyBool -> MyBool; 24.80/12.33 not MyTrue = MyFalse; 24.80/12.33 not MyFalse = MyTrue; 24.80/12.33 24.80/12.33 pePe :: MyBool -> MyBool -> MyBool; 24.80/12.33 pePe MyFalse x = x; 24.80/12.33 pePe MyTrue x = MyTrue; 24.80/12.33 24.80/12.33 primCmpChar :: Main.Char -> Main.Char -> Ordering; 24.80/12.33 primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y; 24.80/12.33 24.80/12.33 primCmpInt :: MyInt -> MyInt -> Ordering; 24.80/12.33 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 24.80/12.33 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 24.80/12.33 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 24.80/12.33 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 24.80/12.33 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 24.80/12.33 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 24.80/12.33 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 24.80/12.33 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 24.80/12.33 24.80/12.33 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 24.80/12.33 primCmpNat Main.Zero Main.Zero = EQ; 24.80/12.33 primCmpNat Main.Zero (Main.Succ y) = LT; 24.80/12.33 primCmpNat (Main.Succ x) Main.Zero = GT;
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