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Haskell 2019-04-01 06.52 pair #433317151
details
property
value
status
complete
benchmark
rangeSize_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.79786 seconds
cpu usage
9.69919
user time
9.35736
system time
0.34183
max virtual memory
1.828352E7
max residence set size
603852.0
stage attributes
key
value
starexec-result
YES
output
7.70/4.23 YES 9.54/4.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.54/4.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.54/4.74 9.54/4.74 9.54/4.74 H-Termination with start terms of the given HASKELL could be proven: 9.54/4.74 9.54/4.74 (0) HASKELL 9.54/4.74 (1) BR [EQUIVALENT, 0 ms] 9.54/4.74 (2) HASKELL 9.54/4.74 (3) COR [EQUIVALENT, 0 ms] 9.54/4.74 (4) HASKELL 9.54/4.74 (5) Narrow [EQUIVALENT, 31 ms] 9.54/4.74 (6) YES 9.54/4.74 9.54/4.74 9.54/4.74 ---------------------------------------- 9.54/4.74 9.54/4.74 (0) 9.54/4.74 Obligation: 9.54/4.74 mainModule Main 9.54/4.74 module Main where { 9.54/4.74 import qualified Prelude; 9.54/4.74 data List a = Cons a (List a) | Nil ; 9.54/4.74 9.54/4.74 data MyBool = MyTrue | MyFalse ; 9.54/4.74 9.54/4.74 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.54/4.74 9.54/4.74 data Main.Nat = Succ Main.Nat | Zero ; 9.54/4.74 9.54/4.74 data Tup0 = Tup0 ; 9.54/4.74 9.54/4.74 data Tup2 a b = Tup2 a b ; 9.54/4.74 9.54/4.74 indexTup0 :: Tup2 Tup0 Tup0 -> Tup0 -> MyInt; 9.54/4.74 indexTup0 (Tup2 Tup0 Tup0) Tup0 = Main.Pos Main.Zero; 9.54/4.74 9.54/4.74 null :: List a -> MyBool; 9.54/4.74 null Nil = MyTrue; 9.54/4.74 null (Cons vx vy) = MyFalse; 9.54/4.74 9.54/4.74 otherwise :: MyBool; 9.54/4.74 otherwise = MyTrue; 9.54/4.74 9.54/4.74 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.54/4.74 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.54/4.74 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.54/4.74 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.54/4.74 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.54/4.74 9.54/4.74 primPlusInt :: MyInt -> MyInt -> MyInt; 9.54/4.74 primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; 9.54/4.74 primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; 9.54/4.74 primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); 9.54/4.74 primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); 9.54/4.74 9.54/4.74 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.54/4.74 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.54/4.74 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.54/4.74 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.54/4.74 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.54/4.74 9.54/4.74 psMyInt :: MyInt -> MyInt -> MyInt; 9.54/4.74 psMyInt = primPlusInt; 9.54/4.74 9.54/4.74 rangeSize0 vv vw MyTrue = psMyInt (indexTup0 (Tup2 vv vw) vw) (Main.Pos (Main.Succ Main.Zero)); 9.54/4.74 9.54/4.74 rangeSize1 vv vw MyTrue = Main.Pos Main.Zero; 9.54/4.74 rangeSize1 vv vw MyFalse = rangeSize0 vv vw otherwise; 9.54/4.75 9.54/4.75 rangeSize2 (Tup2 vv vw) = rangeSize1 vv vw (null (rangeTup0 (Tup2 vv vw))); 9.54/4.75 9.54/4.75 rangeSizeTup0 :: Tup2 Tup0 Tup0 -> MyInt; 9.54/4.75 rangeSizeTup0 (Tup2 vv vw) = rangeSize2 (Tup2 vv vw); 9.54/4.75 9.54/4.75 rangeTup0 :: Tup2 Tup0 Tup0 -> List Tup0; 9.54/4.75 rangeTup0 (Tup2 Tup0 Tup0) = Cons Tup0 Nil; 9.54/4.75 9.54/4.75 } 9.54/4.75 9.54/4.75 ---------------------------------------- 9.54/4.75 9.54/4.75 (1) BR (EQUIVALENT) 9.54/4.75 Replaced joker patterns by fresh variables and removed binding patterns. 9.54/4.75 ---------------------------------------- 9.54/4.75 9.54/4.75 (2) 9.54/4.75 Obligation: 9.54/4.75 mainModule Main 9.54/4.75 module Main where { 9.54/4.75 import qualified Prelude; 9.54/4.75 data List a = Cons a (List a) | Nil ; 9.54/4.75 9.54/4.75 data MyBool = MyTrue | MyFalse ; 9.54/4.75 9.54/4.75 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.54/4.75 9.54/4.75 data Main.Nat = Succ Main.Nat | Zero ; 9.54/4.75
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