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Haskell pair #487598477
details
property
value
status
complete
benchmark
succ_3.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.60379981995 seconds
cpu usage
10.3508956
max memory
5.73558784E8
stage attributes
key
value
output-size
15229
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [EQUIVALENT, 24 ms] (6) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data MyBool = MyTrue | MyFalse ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; esEsMyInt :: MyInt -> MyInt -> MyBool; esEsMyInt = primEqInt; fromEnumMyBool :: MyBool -> MyInt; fromEnumMyBool MyFalse = Main.Pos Main.Zero; fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); primEqInt :: MyInt -> MyInt -> MyBool; primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; primEqInt vv vw = MyFalse; primEqNat :: Main.Nat -> Main.Nat -> MyBool; primEqNat Main.Zero Main.Zero = MyTrue; primEqNat Main.Zero (Main.Succ y) = MyFalse; primEqNat (Main.Succ x) Main.Zero = MyFalse; primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; primMinusNat :: Main.Nat -> Main.Nat -> MyInt; primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; primPlusInt :: MyInt -> MyInt -> MyInt; primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; primPlusNat Main.Zero Main.Zero = Main.Zero; primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); psMyInt :: MyInt -> MyInt -> MyInt; psMyInt = primPlusInt; pt :: (c -> b) -> (a -> c) -> a -> b; pt f g x = f (g x); succMyBool :: MyBool -> MyBool; succMyBool = pt toEnumMyBool (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); toEnum0 MyTrue vx = MyTrue; toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; toEnum2 MyTrue vy = MyFalse; toEnum2 vz wu = toEnum1 wu; toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; toEnum3 wv = toEnum1 wv; toEnumMyBool :: MyInt -> MyBool; toEnumMyBool vy = toEnum3 vy; toEnumMyBool vx = toEnum1 vx; }
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