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Haskell pair #487598467
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
n149.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.15130400658 seconds
cpu usage
10.445683685
max memory
6.37980672E8
stage attributes
key
value
output-size
24184
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 [SOUND, 0 ms] (6) QDP (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data Main.Char = Char MyInt ; data MyBool = MyTrue | MyFalse ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; data Ordering = LT | EQ | GT ; compareChar :: Main.Char -> Main.Char -> Ordering; compareChar = primCmpChar; esEsOrdering :: Ordering -> Ordering -> MyBool; esEsOrdering LT LT = MyTrue; esEsOrdering LT EQ = MyFalse; esEsOrdering LT GT = MyFalse; esEsOrdering EQ LT = MyFalse; esEsOrdering EQ EQ = MyTrue; esEsOrdering EQ GT = MyFalse; esEsOrdering GT LT = MyFalse; esEsOrdering GT EQ = MyFalse; esEsOrdering GT GT = MyTrue; fsEsOrdering :: Ordering -> Ordering -> MyBool; fsEsOrdering x y = not (esEsOrdering x y); gtEsChar :: Main.Char -> Main.Char -> MyBool; gtEsChar x y = fsEsOrdering (compareChar x y) LT; not :: MyBool -> MyBool; not MyTrue = MyFalse; not MyFalse = MyTrue; primCmpChar :: Main.Char -> Main.Char -> Ordering; primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y; primCmpInt :: MyInt -> MyInt -> Ordering; primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; primCmpInt (Main.Pos x) (Main.Neg y) = GT; primCmpInt (Main.Neg x) (Main.Pos y) = LT; primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; primCmpNat :: Main.Nat -> Main.Nat -> Ordering; primCmpNat Main.Zero Main.Zero = EQ; primCmpNat Main.Zero (Main.Succ y) = LT; primCmpNat (Main.Succ x) Main.Zero = GT; primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data Main.Char = Char MyInt ; data MyBool = MyTrue | MyFalse ;
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