8.16/3.62 YES 9.98/4.09 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.98/4.09 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.98/4.09 9.98/4.09 9.98/4.09 H-Termination with start terms of the given HASKELL could be proven: 9.98/4.09 9.98/4.09 (0) HASKELL 9.98/4.09 (1) BR [EQUIVALENT, 0 ms] 9.98/4.09 (2) HASKELL 9.98/4.09 (3) COR [EQUIVALENT, 0 ms] 9.98/4.09 (4) HASKELL 9.98/4.09 (5) Narrow [EQUIVALENT, 17 ms] 9.98/4.09 (6) YES 9.98/4.09 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (0) 9.98/4.09 Obligation: 9.98/4.09 mainModule Main 9.98/4.09 module Main where { 9.98/4.09 import qualified Prelude; 9.98/4.09 } 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (1) BR (EQUIVALENT) 9.98/4.09 Replaced joker patterns by fresh variables and removed binding patterns. 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (2) 9.98/4.09 Obligation: 9.98/4.09 mainModule Main 9.98/4.09 module Main where { 9.98/4.09 import qualified Prelude; 9.98/4.09 } 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (3) COR (EQUIVALENT) 9.98/4.09 Cond Reductions: 9.98/4.09 The following Function with conditions 9.98/4.09 "undefined |Falseundefined; 9.98/4.09 " 9.98/4.09 is transformed to 9.98/4.09 "undefined = undefined1; 9.98/4.09 " 9.98/4.09 "undefined0 True = undefined; 9.98/4.09 " 9.98/4.09 "undefined1 = undefined0 False; 9.98/4.09 " 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (4) 9.98/4.09 Obligation: 9.98/4.09 mainModule Main 9.98/4.09 module Main where { 9.98/4.09 import qualified Prelude; 9.98/4.09 } 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (5) Narrow (EQUIVALENT) 9.98/4.09 Haskell To QDPs 9.98/4.09 9.98/4.09 digraph dp_graph { 9.98/4.09 node [outthreshold=100, inthreshold=100];1[label="(<=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.98/4.09 3[label="(<=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.98/4.09 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]; 9.98/4.09 15 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 16[label="vx3/True",fontsize=10,color="white",style="solid",shape="box"];4 -> 16[label="",style="solid", color="burlywood", weight=9]; 9.98/4.09 16 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 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]; 9.98/4.09 17 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 18[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];5 -> 18[label="",style="solid", color="burlywood", weight=9]; 9.98/4.09 18 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 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]; 9.98/4.09 19 -> 9[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 20[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];6 -> 20[label="",style="solid", color="burlywood", weight=9]; 9.98/4.09 20 -> 10[label="",style="solid", color="burlywood", weight=3]; 9.98/4.09 7[label="(<=) False False",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 9.98/4.09 8[label="(<=) False True",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9.98/4.09 9[label="(<=) True False",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 9.98/4.09 10[label="(<=) True True",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 9.98/4.09 11[label="True",fontsize=16,color="green",shape="box"];12[label="True",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="True",fontsize=16,color="green",shape="box"];} 9.98/4.09 9.98/4.09 ---------------------------------------- 9.98/4.09 9.98/4.09 (6) 9.98/4.09 YES 10.09/4.14 EOF