7.79/3.49 YES 9.30/3.94 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.30/3.94 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.30/3.94 9.30/3.94 9.30/3.94 H-Termination with start terms of the given HASKELL could be proven: 9.30/3.94 9.30/3.94 (0) HASKELL 9.30/3.94 (1) BR [EQUIVALENT, 0 ms] 9.30/3.94 (2) HASKELL 9.30/3.94 (3) COR [EQUIVALENT, 0 ms] 9.30/3.94 (4) HASKELL 9.30/3.94 (5) Narrow [EQUIVALENT, 22 ms] 9.30/3.94 (6) YES 9.30/3.94 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (0) 9.30/3.94 Obligation: 9.30/3.94 mainModule Main 9.30/3.94 module Main where { 9.30/3.94 import qualified Prelude; 9.30/3.94 } 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (1) BR (EQUIVALENT) 9.30/3.94 Replaced joker patterns by fresh variables and removed binding patterns. 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (2) 9.30/3.94 Obligation: 9.30/3.94 mainModule Main 9.30/3.94 module Main where { 9.30/3.94 import qualified Prelude; 9.30/3.94 } 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (3) COR (EQUIVALENT) 9.30/3.94 Cond Reductions: 9.30/3.94 The following Function with conditions 9.30/3.94 "undefined |Falseundefined; 9.30/3.94 " 9.30/3.94 is transformed to 9.30/3.94 "undefined = undefined1; 9.30/3.94 " 9.30/3.94 "undefined0 True = undefined; 9.30/3.94 " 9.30/3.94 "undefined1 = undefined0 False; 9.30/3.94 " 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (4) 9.30/3.94 Obligation: 9.30/3.94 mainModule Main 9.30/3.94 module Main where { 9.30/3.94 import qualified Prelude; 9.30/3.94 } 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (5) Narrow (EQUIVALENT) 9.30/3.94 Haskell To QDPs 9.30/3.94 9.30/3.94 digraph dp_graph { 9.30/3.94 node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.30/3.94 3[label="(==) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.30/3.94 4[label="(==) vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];15[label="vx3/False",fontsize=10,color="white",style="solid",shape="box"];4 -> 15[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 15 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 16[label="vx3/True",fontsize=10,color="white",style="solid",shape="box"];4 -> 16[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 16 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 5[label="(==) False vx4",fontsize=16,color="burlywood",shape="box"];17[label="vx4/False",fontsize=10,color="white",style="solid",shape="box"];5 -> 17[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 17 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 18[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];5 -> 18[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 18 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 6[label="(==) True vx4",fontsize=16,color="burlywood",shape="box"];19[label="vx4/False",fontsize=10,color="white",style="solid",shape="box"];6 -> 19[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 19 -> 9[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 20[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];6 -> 20[label="",style="solid", color="burlywood", weight=9]; 9.30/3.94 20 -> 10[label="",style="solid", color="burlywood", weight=3]; 9.30/3.94 7[label="(==) False False",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 9.30/3.94 8[label="(==) False True",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9.30/3.94 9[label="(==) True False",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 9.30/3.94 10[label="(==) True True",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 9.30/3.94 11[label="True",fontsize=16,color="green",shape="box"];12[label="False",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="True",fontsize=16,color="green",shape="box"];} 9.30/3.94 9.30/3.94 ---------------------------------------- 9.30/3.94 9.30/3.94 (6) 9.30/3.94 YES 9.50/3.98 EOF