7.61/3.44 YES 9.10/3.85 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.10/3.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.10/3.85 9.10/3.85 9.10/3.85 H-Termination with start terms of the given HASKELL could be proven: 9.10/3.85 9.10/3.85 (0) HASKELL 9.10/3.85 (1) BR [EQUIVALENT, 0 ms] 9.10/3.85 (2) HASKELL 9.10/3.85 (3) COR [EQUIVALENT, 0 ms] 9.10/3.85 (4) HASKELL 9.10/3.85 (5) Narrow [EQUIVALENT, 0 ms] 9.10/3.85 (6) YES 9.10/3.85 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (0) 9.10/3.85 Obligation: 9.10/3.85 mainModule Main 9.10/3.85 module Main where { 9.10/3.85 import qualified Prelude; 9.10/3.85 } 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (1) BR (EQUIVALENT) 9.10/3.85 Replaced joker patterns by fresh variables and removed binding patterns. 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (2) 9.10/3.85 Obligation: 9.10/3.85 mainModule Main 9.10/3.85 module Main where { 9.10/3.85 import qualified Prelude; 9.10/3.85 } 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (3) COR (EQUIVALENT) 9.10/3.85 Cond Reductions: 9.10/3.85 The following Function with conditions 9.10/3.85 "undefined |Falseundefined; 9.10/3.85 " 9.10/3.85 is transformed to 9.10/3.85 "undefined = undefined1; 9.10/3.85 " 9.10/3.85 "undefined0 True = undefined; 9.10/3.85 " 9.10/3.85 "undefined1 = undefined0 False; 9.10/3.85 " 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (4) 9.10/3.85 Obligation: 9.10/3.85 mainModule Main 9.10/3.85 module Main where { 9.10/3.85 import qualified Prelude; 9.10/3.85 } 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (5) Narrow (EQUIVALENT) 9.10/3.85 Haskell To QDPs 9.10/3.85 9.10/3.85 digraph dp_graph { 9.10/3.85 node [outthreshold=100, inthreshold=100];1[label="(>>=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.10/3.85 3[label="(>>=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.10/3.85 4[label="(>>=) vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];10[label="vx3/Nothing",fontsize=10,color="white",style="solid",shape="box"];4 -> 10[label="",style="solid", color="burlywood", weight=9]; 9.10/3.85 10 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.10/3.85 11[label="vx3/Just vx30",fontsize=10,color="white",style="solid",shape="box"];4 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.10/3.85 11 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.10/3.85 5[label="(>>=) Nothing vx4",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 9.10/3.85 6[label="(>>=) Just vx30 vx4",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.10/3.85 7[label="Nothing",fontsize=16,color="green",shape="box"];8[label="vx4 vx30",fontsize=16,color="green",shape="box"];8 -> 9[label="",style="dashed", color="green", weight=3]; 9.10/3.85 9[label="vx30",fontsize=16,color="green",shape="box"];} 9.10/3.85 9.10/3.85 ---------------------------------------- 9.10/3.85 9.10/3.85 (6) 9.10/3.85 YES 9.19/3.89 EOF