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Haskell 2019-04-01 06.52 pair #433317396
details
property
value
status
complete
benchmark
STAR_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.11673 seconds
cpu usage
10.006
user time
9.66699
system time
0.339057
max virtual memory
1.8286232E7
max residence set size
604008.0
stage attributes
key
value
starexec-result
YES
output
7.85/3.51 YES 9.78/4.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.78/4.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.78/4.05 9.78/4.05 9.78/4.05 H-Termination with start terms of the given HASKELL could be proven: 9.78/4.05 9.78/4.05 (0) HASKELL 9.78/4.05 (1) BR [EQUIVALENT, 0 ms] 9.78/4.05 (2) HASKELL 9.78/4.05 (3) COR [EQUIVALENT, 0 ms] 9.78/4.05 (4) HASKELL 9.78/4.05 (5) Narrow [SOUND, 0 ms] 9.78/4.05 (6) AND 9.78/4.05 (7) QDP 9.78/4.05 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.78/4.05 (9) YES 9.78/4.05 (10) QDP 9.78/4.05 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.78/4.05 (12) YES 9.78/4.05 9.78/4.05 9.78/4.05 ---------------------------------------- 9.78/4.05 9.78/4.05 (0) 9.78/4.05 Obligation: 9.78/4.05 mainModule Main 9.78/4.05 module Main where { 9.78/4.05 import qualified Prelude; 9.78/4.05 data Float = Float MyInt MyInt ; 9.78/4.05 9.78/4.05 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.78/4.05 9.78/4.05 data Main.Nat = Succ Main.Nat | Zero ; 9.78/4.05 9.78/4.05 primMulFloat :: Float -> Float -> Float; 9.78/4.05 primMulFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y1) (srMyInt x2 y2); 9.78/4.05 9.78/4.05 primMulInt :: MyInt -> MyInt -> MyInt; 9.78/4.05 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 9.78/4.05 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 9.78/4.05 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 9.78/4.05 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 9.78/4.05 9.78/4.05 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.78/4.05 primMulNat Main.Zero Main.Zero = Main.Zero; 9.78/4.05 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 9.78/4.05 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 9.78/4.05 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 9.78/4.05 9.78/4.05 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.78/4.05 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.78/4.05 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.78/4.05 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.78/4.05 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.78/4.05 9.78/4.05 srFloat :: Float -> Float -> Float; 9.78/4.05 srFloat = primMulFloat; 9.78/4.05 9.78/4.05 srMyInt :: MyInt -> MyInt -> MyInt; 9.78/4.05 srMyInt = primMulInt; 9.78/4.05 9.78/4.05 } 9.78/4.05 9.78/4.05 ---------------------------------------- 9.78/4.05 9.78/4.05 (1) BR (EQUIVALENT) 9.78/4.05 Replaced joker patterns by fresh variables and removed binding patterns. 9.78/4.05 ---------------------------------------- 9.78/4.05 9.78/4.05 (2) 9.78/4.05 Obligation: 9.78/4.05 mainModule Main 9.78/4.05 module Main where { 9.78/4.05 import qualified Prelude; 9.78/4.05 data Float = Float MyInt MyInt ; 9.78/4.05 9.78/4.05 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.78/4.05 9.78/4.05 data Main.Nat = Succ Main.Nat | Zero ; 9.78/4.05 9.78/4.05 primMulFloat :: Float -> Float -> Float; 9.78/4.05 primMulFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y1) (srMyInt x2 y2); 9.78/4.05 9.78/4.05 primMulInt :: MyInt -> MyInt -> MyInt; 9.78/4.05 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 9.78/4.05 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 9.78/4.05 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 9.78/4.05 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 9.78/4.05 9.78/4.05 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.78/4.05 primMulNat Main.Zero Main.Zero = Main.Zero; 9.78/4.05 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 9.78/4.05 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 9.78/4.05 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 9.78/4.05 9.78/4.05 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.78/4.05 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.78/4.05 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.78/4.05 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
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