7.66/3.65 YES 9.52/4.12 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.52/4.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.52/4.12 9.52/4.12 9.52/4.12 H-Termination with start terms of the given HASKELL could be proven: 9.52/4.12 9.52/4.12 (0) HASKELL 9.52/4.12 (1) BR [EQUIVALENT, 0 ms] 9.52/4.12 (2) HASKELL 9.52/4.12 (3) COR [EQUIVALENT, 0 ms] 9.52/4.12 (4) HASKELL 9.52/4.12 (5) Narrow [EQUIVALENT, 18 ms] 9.52/4.12 (6) YES 9.52/4.12 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (0) 9.52/4.12 Obligation: 9.52/4.12 mainModule Main 9.52/4.12 module Main where { 9.52/4.12 import qualified Prelude; 9.52/4.12 } 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (1) BR (EQUIVALENT) 9.52/4.12 Replaced joker patterns by fresh variables and removed binding patterns. 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (2) 9.52/4.12 Obligation: 9.52/4.12 mainModule Main 9.52/4.12 module Main where { 9.52/4.12 import qualified Prelude; 9.52/4.12 } 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (3) COR (EQUIVALENT) 9.52/4.12 Cond Reductions: 9.52/4.12 The following Function with conditions 9.52/4.12 "undefined |Falseundefined; 9.52/4.12 " 9.52/4.12 is transformed to 9.52/4.12 "undefined = undefined1; 9.52/4.12 " 9.52/4.12 "undefined0 True = undefined; 9.52/4.12 " 9.52/4.12 "undefined1 = undefined0 False; 9.52/4.12 " 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (4) 9.52/4.12 Obligation: 9.52/4.12 mainModule Main 9.52/4.12 module Main where { 9.52/4.12 import qualified Prelude; 9.52/4.12 } 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (5) Narrow (EQUIVALENT) 9.52/4.12 Haskell To QDPs 9.52/4.12 9.52/4.12 digraph dp_graph { 9.52/4.12 node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.52/4.12 3[label="(/=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.52/4.12 4[label="(/=) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.52/4.12 5[label="not (vx3 == vx4)",fontsize=16,color="burlywood",shape="box"];10[label="vx3/()",fontsize=10,color="white",style="solid",shape="box"];5 -> 10[label="",style="solid", color="burlywood", weight=9]; 9.52/4.12 10 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.52/4.12 6[label="not (() == vx4)",fontsize=16,color="burlywood",shape="box"];11[label="vx4/()",fontsize=10,color="white",style="solid",shape="box"];6 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.52/4.12 11 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.52/4.12 7[label="not (() == ())",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.52/4.12 8[label="not True",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.52/4.12 9[label="False",fontsize=16,color="green",shape="box"];} 9.52/4.12 9.52/4.12 ---------------------------------------- 9.52/4.12 9.52/4.12 (6) 9.52/4.12 YES 9.52/4.18 EOF