7.90/3.85 YES 9.38/4.29 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.38/4.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.38/4.29 9.38/4.29 9.38/4.29 H-Termination with start terms of the given HASKELL could be proven: 9.38/4.29 9.38/4.29 (0) HASKELL 9.38/4.29 (1) BR [EQUIVALENT, 0 ms] 9.38/4.29 (2) HASKELL 9.38/4.29 (3) COR [EQUIVALENT, 0 ms] 9.38/4.29 (4) HASKELL 9.38/4.29 (5) Narrow [EQUIVALENT, 0 ms] 9.38/4.29 (6) YES 9.38/4.29 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (0) 9.38/4.29 Obligation: 9.38/4.29 mainModule Main 9.38/4.29 module Main where { 9.38/4.29 import qualified Prelude; 9.38/4.29 data MyBool = MyTrue | MyFalse ; 9.38/4.29 9.38/4.29 otherwise :: MyBool; 9.38/4.29 otherwise = MyTrue; 9.38/4.29 9.38/4.29 } 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (1) BR (EQUIVALENT) 9.38/4.29 Replaced joker patterns by fresh variables and removed binding patterns. 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (2) 9.38/4.29 Obligation: 9.38/4.29 mainModule Main 9.38/4.29 module Main where { 9.38/4.29 import qualified Prelude; 9.38/4.29 data MyBool = MyTrue | MyFalse ; 9.38/4.29 9.38/4.29 otherwise :: MyBool; 9.38/4.29 otherwise = MyTrue; 9.38/4.29 9.38/4.29 } 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (3) COR (EQUIVALENT) 9.38/4.29 Cond Reductions: 9.38/4.29 The following Function with conditions 9.38/4.29 "undefined |Falseundefined; 9.38/4.29 " 9.38/4.29 is transformed to 9.38/4.29 "undefined = undefined1; 9.38/4.29 " 9.38/4.29 "undefined0 True = undefined; 9.38/4.29 " 9.38/4.29 "undefined1 = undefined0 False; 9.38/4.29 " 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (4) 9.38/4.29 Obligation: 9.38/4.29 mainModule Main 9.38/4.29 module Main where { 9.38/4.29 import qualified Prelude; 9.38/4.29 data MyBool = MyTrue | MyFalse ; 9.38/4.29 9.38/4.29 otherwise :: MyBool; 9.38/4.29 otherwise = MyTrue; 9.38/4.29 9.38/4.29 } 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (5) Narrow (EQUIVALENT) 9.38/4.29 Haskell To QDPs 9.38/4.29 9.38/4.29 digraph dp_graph { 9.38/4.29 node [outthreshold=100, inthreshold=100];1[label="otherwise",fontsize=16,color="black",shape="box"];1 -> 3[label="",style="solid", color="black", weight=3]; 9.38/4.29 3[label="MyTrue",fontsize=16,color="green",shape="box"];} 9.38/4.29 9.38/4.29 ---------------------------------------- 9.38/4.29 9.38/4.29 (6) 9.38/4.29 YES 9.38/4.32 EOF