7.61/3.47 YES 8.97/3.92 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 8.97/3.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.97/3.92 8.97/3.92 8.97/3.92 H-Termination with start terms of the given HASKELL could be proven: 8.97/3.92 8.97/3.92 (0) HASKELL 8.97/3.92 (1) BR [EQUIVALENT, 0 ms] 8.97/3.92 (2) HASKELL 8.97/3.92 (3) COR [EQUIVALENT, 0 ms] 8.97/3.92 (4) HASKELL 8.97/3.92 (5) Narrow [EQUIVALENT, 0 ms] 8.97/3.92 (6) YES 8.97/3.92 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (0) 8.97/3.92 Obligation: 8.97/3.92 mainModule Main 8.97/3.92 module Main where { 8.97/3.92 import qualified Prelude; 8.97/3.92 data MyBool = MyTrue | MyFalse ; 8.97/3.92 8.97/3.92 maxBoundMyBool :: MyBool; 8.97/3.92 maxBoundMyBool = MyTrue; 8.97/3.92 8.97/3.92 } 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (1) BR (EQUIVALENT) 8.97/3.92 Replaced joker patterns by fresh variables and removed binding patterns. 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (2) 8.97/3.92 Obligation: 8.97/3.92 mainModule Main 8.97/3.92 module Main where { 8.97/3.92 import qualified Prelude; 8.97/3.92 data MyBool = MyTrue | MyFalse ; 8.97/3.92 8.97/3.92 maxBoundMyBool :: MyBool; 8.97/3.92 maxBoundMyBool = MyTrue; 8.97/3.92 8.97/3.92 } 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (3) COR (EQUIVALENT) 8.97/3.92 Cond Reductions: 8.97/3.92 The following Function with conditions 8.97/3.92 "undefined |Falseundefined; 8.97/3.92 " 8.97/3.92 is transformed to 8.97/3.92 "undefined = undefined1; 8.97/3.92 " 8.97/3.92 "undefined0 True = undefined; 8.97/3.92 " 8.97/3.92 "undefined1 = undefined0 False; 8.97/3.92 " 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (4) 8.97/3.92 Obligation: 8.97/3.92 mainModule Main 8.97/3.92 module Main where { 8.97/3.92 import qualified Prelude; 8.97/3.92 data MyBool = MyTrue | MyFalse ; 8.97/3.92 8.97/3.92 maxBoundMyBool :: MyBool; 8.97/3.92 maxBoundMyBool = MyTrue; 8.97/3.92 8.97/3.92 } 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (5) Narrow (EQUIVALENT) 8.97/3.92 Haskell To QDPs 8.97/3.92 8.97/3.92 digraph dp_graph { 8.97/3.92 node [outthreshold=100, inthreshold=100];1[label="maxBoundMyBool",fontsize=16,color="black",shape="box"];1 -> 3[label="",style="solid", color="black", weight=3]; 8.97/3.92 3[label="MyTrue",fontsize=16,color="green",shape="box"];} 8.97/3.92 8.97/3.92 ---------------------------------------- 8.97/3.92 8.97/3.92 (6) 8.97/3.92 YES 9.17/3.96 EOF