7.56/3.45 YES 9.01/3.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.01/3.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.01/3.90 9.01/3.90 9.01/3.90 H-Termination with start terms of the given HASKELL could be proven: 9.01/3.90 9.01/3.90 (0) HASKELL 9.01/3.90 (1) BR [EQUIVALENT, 0 ms] 9.01/3.90 (2) HASKELL 9.01/3.90 (3) COR [EQUIVALENT, 0 ms] 9.01/3.90 (4) HASKELL 9.01/3.90 (5) Narrow [EQUIVALENT, 0 ms] 9.01/3.90 (6) YES 9.01/3.90 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (0) 9.01/3.90 Obligation: 9.01/3.90 mainModule Main 9.01/3.90 module Main where { 9.01/3.90 import qualified Prelude; 9.01/3.90 data MyBool = MyTrue | MyFalse ; 9.01/3.90 9.01/3.90 undefined :: a; 9.01/3.90 undefined = undefined1; 9.01/3.90 9.01/3.90 undefined0 MyTrue = Main.undefined; 9.01/3.90 9.01/3.90 undefined1 = undefined0 MyFalse; 9.01/3.90 9.01/3.90 } 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (1) BR (EQUIVALENT) 9.01/3.90 Replaced joker patterns by fresh variables and removed binding patterns. 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (2) 9.01/3.90 Obligation: 9.01/3.90 mainModule Main 9.01/3.90 module Main where { 9.01/3.90 import qualified Prelude; 9.01/3.90 data MyBool = MyTrue | MyFalse ; 9.01/3.90 9.01/3.90 undefined :: a; 9.01/3.90 undefined = undefined1; 9.01/3.90 9.01/3.90 undefined0 MyTrue = Main.undefined; 9.01/3.90 9.01/3.90 undefined1 = undefined0 MyFalse; 9.01/3.90 9.01/3.90 } 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (3) COR (EQUIVALENT) 9.01/3.90 Cond Reductions: 9.01/3.90 The following Function with conditions 9.01/3.90 "undefined |Falseundefined; 9.01/3.90 " 9.01/3.90 is transformed to 9.01/3.90 "undefined = undefined3; 9.01/3.90 " 9.01/3.90 "undefined2 True = undefined; 9.01/3.90 " 9.01/3.90 "undefined3 = undefined2 False; 9.01/3.90 " 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (4) 9.01/3.90 Obligation: 9.01/3.90 mainModule Main 9.01/3.90 module Main where { 9.01/3.90 import qualified Prelude; 9.01/3.90 data MyBool = MyTrue | MyFalse ; 9.01/3.90 9.01/3.90 undefined :: a; 9.01/3.90 undefined = undefined1; 9.01/3.90 9.01/3.90 undefined0 MyTrue = Main.undefined; 9.01/3.90 9.01/3.90 undefined1 = undefined0 MyFalse; 9.01/3.90 9.01/3.90 } 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (5) Narrow (EQUIVALENT) 9.01/3.90 Haskell To QDPs 9.01/3.90 9.01/3.90 digraph dp_graph { 9.01/3.90 node [outthreshold=100, inthreshold=100];1[label="undefined",fontsize=16,color="black",shape="box"];1 -> 3[label="",style="solid", color="black", weight=3]; 9.01/3.90 3[label="undefined1",fontsize=16,color="black",shape="box"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.01/3.90 4[label="undefined0 MyFalse",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.01/3.90 5[label="error []",fontsize=16,color="red",shape="box"];} 9.01/3.90 9.01/3.90 ---------------------------------------- 9.01/3.90 9.01/3.90 (6) 9.01/3.90 YES 9.12/4.00 EOF