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Haskell pair #487598332
details
property
value
status
complete
benchmark
EQEQ_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.8877081871 seconds
cpu usage
9.910380524
max memory
6.34093568E8
stage attributes
key
value
output-size
18675
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 ; esEsChar :: Main.Char -> Main.Char -> MyBool; esEsChar = primEqChar; primEqChar :: Main.Char -> Main.Char -> MyBool; primEqChar (Main.Char x) (Main.Char y) = primEqInt x y; 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; } ---------------------------------------- (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 ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; esEsChar :: Main.Char -> Main.Char -> MyBool; esEsChar = primEqChar; primEqChar :: Main.Char -> Main.Char -> MyBool; primEqChar (Main.Char x) (Main.Char y) = primEqInt x y; 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;
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