7.61/3.53 YES 9.33/4.01 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.33/4.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.33/4.01 9.33/4.01 9.33/4.01 H-Termination with start terms of the given HASKELL could be proven: 9.33/4.01 9.33/4.01 (0) HASKELL 9.33/4.01 (1) BR [EQUIVALENT, 0 ms] 9.33/4.01 (2) HASKELL 9.33/4.01 (3) COR [EQUIVALENT, 0 ms] 9.33/4.01 (4) HASKELL 9.33/4.01 (5) Narrow [EQUIVALENT, 0 ms] 9.33/4.01 (6) YES 9.33/4.01 9.33/4.01 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (0) 9.33/4.01 Obligation: 9.33/4.01 mainModule Main 9.33/4.01 module Main where { 9.33/4.01 import qualified Prelude; 9.33/4.01 data Float = Float MyInt MyInt ; 9.33/4.01 9.33/4.01 data MyBool = MyTrue | MyFalse ; 9.33/4.01 9.33/4.01 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.33/4.01 9.33/4.01 data Main.Nat = Succ Main.Nat | Zero ; 9.33/4.01 9.33/4.01 isNegativeZeroFloat :: Float -> MyBool; 9.33/4.01 isNegativeZeroFloat vv = MyFalse; 9.33/4.01 9.33/4.01 } 9.33/4.01 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (1) BR (EQUIVALENT) 9.33/4.01 Replaced joker patterns by fresh variables and removed binding patterns. 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (2) 9.33/4.01 Obligation: 9.33/4.01 mainModule Main 9.33/4.01 module Main where { 9.33/4.01 import qualified Prelude; 9.33/4.01 data Float = Float MyInt MyInt ; 9.33/4.01 9.33/4.01 data MyBool = MyTrue | MyFalse ; 9.33/4.01 9.33/4.01 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.33/4.01 9.33/4.01 data Main.Nat = Succ Main.Nat | Zero ; 9.33/4.01 9.33/4.01 isNegativeZeroFloat :: Float -> MyBool; 9.33/4.01 isNegativeZeroFloat vv = MyFalse; 9.33/4.01 9.33/4.01 } 9.33/4.01 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (3) COR (EQUIVALENT) 9.33/4.01 Cond Reductions: 9.33/4.01 The following Function with conditions 9.33/4.01 "undefined |Falseundefined; 9.33/4.01 " 9.33/4.01 is transformed to 9.33/4.01 "undefined = undefined1; 9.33/4.01 " 9.33/4.01 "undefined0 True = undefined; 9.33/4.01 " 9.33/4.01 "undefined1 = undefined0 False; 9.33/4.01 " 9.33/4.01 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (4) 9.33/4.01 Obligation: 9.33/4.01 mainModule Main 9.33/4.01 module Main where { 9.33/4.01 import qualified Prelude; 9.33/4.01 data Float = Float MyInt MyInt ; 9.33/4.01 9.33/4.01 data MyBool = MyTrue | MyFalse ; 9.33/4.01 9.33/4.01 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.33/4.01 9.33/4.01 data Main.Nat = Succ Main.Nat | Zero ; 9.33/4.01 9.33/4.01 isNegativeZeroFloat :: Float -> MyBool; 9.33/4.01 isNegativeZeroFloat vv = MyFalse; 9.33/4.01 9.33/4.01 } 9.33/4.01 9.33/4.01 ---------------------------------------- 9.33/4.01 9.33/4.01 (5) Narrow (EQUIVALENT) 9.33/4.01 Haskell To QDPs 9.33/4.01 9.33/4.01 digraph dp_graph { 9.33/4.01 node [outthreshold=100, inthreshold=100];1[label="isNegativeZeroFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.35/4.01 3[label="isNegativeZeroFloat vy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.35/4.01 4[label="MyFalse",fontsize=16,color="green",shape="box"];} 9.35/4.01 9.35/4.01 ---------------------------------------- 9.35/4.01 9.35/4.01 (6) 9.35/4.01 YES 9.35/4.05 EOF