7.24/3.41 YES 8.83/3.83 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 8.83/3.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.83/3.83 8.83/3.83 8.83/3.83 H-Termination with start terms of the given HASKELL could be proven: 8.83/3.83 8.83/3.83 (0) HASKELL 8.83/3.83 (1) BR [EQUIVALENT, 0 ms] 8.83/3.83 (2) HASKELL 8.83/3.83 (3) COR [EQUIVALENT, 0 ms] 8.83/3.83 (4) HASKELL 8.83/3.83 (5) Narrow [EQUIVALENT, 0 ms] 8.83/3.83 (6) YES 8.83/3.83 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (0) 8.83/3.83 Obligation: 8.83/3.83 mainModule Main 8.83/3.83 module Main where { 8.83/3.83 import qualified Prelude; 8.83/3.83 } 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (1) BR (EQUIVALENT) 8.83/3.83 Replaced joker patterns by fresh variables and removed binding patterns. 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (2) 8.83/3.83 Obligation: 8.83/3.83 mainModule Main 8.83/3.83 module Main where { 8.83/3.83 import qualified Prelude; 8.83/3.83 } 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (3) COR (EQUIVALENT) 8.83/3.83 Cond Reductions: 8.83/3.83 The following Function with conditions 8.83/3.83 "undefined |Falseundefined; 8.83/3.83 " 8.83/3.83 is transformed to 8.83/3.83 "undefined = undefined1; 8.83/3.83 " 8.83/3.83 "undefined0 True = undefined; 8.83/3.83 " 8.83/3.83 "undefined1 = undefined0 False; 8.83/3.83 " 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (4) 8.83/3.83 Obligation: 8.83/3.83 mainModule Main 8.83/3.83 module Main where { 8.83/3.83 import qualified Prelude; 8.83/3.83 } 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (5) Narrow (EQUIVALENT) 8.83/3.83 Haskell To QDPs 8.83/3.83 8.83/3.83 digraph dp_graph { 8.83/3.83 node [outthreshold=100, inthreshold=100];1[label="either",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 8.83/3.83 3[label="either vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 8.83/3.83 4[label="either vx3 vx4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3]; 8.83/3.83 5[label="either vx3 vx4 vx5",fontsize=16,color="burlywood",shape="triangle"];12[label="vx5/Left vx50",fontsize=10,color="white",style="solid",shape="box"];5 -> 12[label="",style="solid", color="burlywood", weight=9]; 8.83/3.83 12 -> 6[label="",style="solid", color="burlywood", weight=3]; 8.83/3.83 13[label="vx5/Right vx50",fontsize=10,color="white",style="solid",shape="box"];5 -> 13[label="",style="solid", color="burlywood", weight=9]; 8.83/3.83 13 -> 7[label="",style="solid", color="burlywood", weight=3]; 8.83/3.83 6[label="either vx3 vx4 (Left vx50)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 8.83/3.83 7[label="either vx3 vx4 (Right vx50)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8.83/3.83 8[label="vx3 vx50",fontsize=16,color="green",shape="box"];8 -> 10[label="",style="dashed", color="green", weight=3]; 8.83/3.83 9[label="vx4 vx50",fontsize=16,color="green",shape="box"];9 -> 11[label="",style="dashed", color="green", weight=3]; 8.83/3.83 10[label="vx50",fontsize=16,color="green",shape="box"];11[label="vx50",fontsize=16,color="green",shape="box"];} 8.83/3.83 8.83/3.83 ---------------------------------------- 8.83/3.83 8.83/3.83 (6) 8.83/3.83 YES 8.83/3.87 EOF