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Haskell pair #487598105
details
property
value
status
complete
benchmark
recip_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.11251091957 seconds
cpu usage
9.99412406
max memory
5.96819968E8
stage attributes
key
value
output-size
10530
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 26 ms] (6) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data Float = Float MyInt MyInt ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; fromIntFloat :: MyInt -> Float; fromIntFloat = primIntToFloat; fsFloat :: Float -> Float -> Float; fsFloat = primDivFloat; primDivFloat :: Float -> Float -> Float; primDivFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y2) (srMyInt x2 y1); primIntToFloat :: MyInt -> Float; primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero)); primMulInt :: MyInt -> MyInt -> MyInt; primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; primMulNat Main.Zero Main.Zero = Main.Zero; primMulNat Main.Zero (Main.Succ y) = Main.Zero; primMulNat (Main.Succ x) Main.Zero = Main.Zero; primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ 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)); recipFloat :: Float -> Float; recipFloat x = fsFloat (fromIntFloat (Main.Pos (Main.Succ Main.Zero))) x; srMyInt :: MyInt -> MyInt -> MyInt; srMyInt = primMulInt; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data Float = Float MyInt MyInt ; data MyInt = Pos Main.Nat | Neg Main.Nat ; data Main.Nat = Succ Main.Nat | Zero ; fromIntFloat :: MyInt -> Float; fromIntFloat = primIntToFloat; fsFloat :: Float -> Float -> Float; fsFloat = primDivFloat; primDivFloat :: Float -> Float -> Float; primDivFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y2) (srMyInt x2 y1); primIntToFloat :: MyInt -> Float;
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