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Haskell pair #487598430
details
property
value
status
complete
benchmark
rem_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n156.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.43252706528 seconds
cpu usage
10.640178032
max memory
6.15886848E8
stage attributes
key
value
output-size
39033
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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) AND (7) QDP (8) DependencyGraphProof [EQUIVALENT, 0 ms] (9) AND (10) QDP (11) MRRProof [EQUIVALENT, 70 ms] (12) QDP (13) PisEmptyProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) 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 ; error :: a; error = stop MyTrue; primGEqNatS :: Main.Nat -> Main.Nat -> MyBool; primGEqNatS (Main.Succ x) Main.Zero = MyTrue; primGEqNatS (Main.Succ x) (Main.Succ y) = primGEqNatS x y; primGEqNatS Main.Zero (Main.Succ x) = MyFalse; primGEqNatS Main.Zero Main.Zero = MyTrue; primMinusNatS :: Main.Nat -> Main.Nat -> Main.Nat; primMinusNatS (Main.Succ x) (Main.Succ y) = primMinusNatS x y; primMinusNatS Main.Zero (Main.Succ y) = Main.Zero; primMinusNatS x Main.Zero = x; primModNatS :: Main.Nat -> Main.Nat -> Main.Nat; primModNatS Main.Zero Main.Zero = Main.error; primModNatS Main.Zero (Main.Succ x) = Main.Zero; primModNatS (Main.Succ x) Main.Zero = Main.error; primModNatS (Main.Succ x) (Main.Succ Main.Zero) = Main.Zero; primModNatS (Main.Succ x) (Main.Succ (Main.Succ y)) = primModNatS0 x y (primGEqNatS x (Main.Succ y)); primModNatS0 x y MyTrue = primModNatS (primMinusNatS x (Main.Succ y)) (Main.Succ (Main.Succ y)); primModNatS0 x y MyFalse = Main.Succ x; primRemInt :: MyInt -> MyInt -> MyInt; primRemInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y)); primRemInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y)); primRemInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y)); primRemInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y)); primRemInt vv vw = Main.error; remMyInt :: MyInt -> MyInt -> MyInt; remMyInt = primRemInt; stop :: MyBool -> a; stop MyFalse = stop MyFalse; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data MyBool = MyTrue | MyFalse ;
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