7.27/3.47 YES 8.83/3.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 8.83/3.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.83/3.90 8.83/3.90 8.83/3.90 H-Termination with start terms of the given HASKELL could be proven: 8.83/3.90 8.83/3.90 (0) HASKELL 8.83/3.90 (1) BR [EQUIVALENT, 0 ms] 8.83/3.90 (2) HASKELL 8.83/3.90 (3) COR [EQUIVALENT, 0 ms] 8.83/3.90 (4) HASKELL 8.83/3.90 (5) Narrow [EQUIVALENT, 0 ms] 8.83/3.90 (6) YES 8.83/3.90 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (0) 8.83/3.90 Obligation: 8.83/3.90 mainModule Main 8.83/3.90 module Main where { 8.83/3.90 import qualified Prelude; 8.83/3.90 } 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (1) BR (EQUIVALENT) 8.83/3.90 Replaced joker patterns by fresh variables and removed binding patterns. 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (2) 8.83/3.90 Obligation: 8.83/3.90 mainModule Main 8.83/3.90 module Main where { 8.83/3.90 import qualified Prelude; 8.83/3.90 } 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (3) COR (EQUIVALENT) 8.83/3.90 Cond Reductions: 8.83/3.90 The following Function with conditions 8.83/3.90 "undefined |Falseundefined; 8.83/3.90 " 8.83/3.90 is transformed to 8.83/3.90 "undefined = undefined1; 8.83/3.90 " 8.83/3.90 "undefined0 True = undefined; 8.83/3.90 " 8.83/3.90 "undefined1 = undefined0 False; 8.83/3.90 " 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (4) 8.83/3.90 Obligation: 8.83/3.90 mainModule Main 8.83/3.90 module Main where { 8.83/3.90 import qualified Prelude; 8.83/3.90 } 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (5) Narrow (EQUIVALENT) 8.83/3.90 Haskell To QDPs 8.83/3.90 8.83/3.90 digraph dp_graph { 8.83/3.90 node [outthreshold=100, inthreshold=100];1[label="null",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 8.83/3.90 3[label="null vz3",fontsize=16,color="burlywood",shape="triangle"];8[label="vz3/vz30 : vz31",fontsize=10,color="white",style="solid",shape="box"];3 -> 8[label="",style="solid", color="burlywood", weight=9]; 8.83/3.90 8 -> 4[label="",style="solid", color="burlywood", weight=3]; 8.83/3.90 9[label="vz3/[]",fontsize=10,color="white",style="solid",shape="box"];3 -> 9[label="",style="solid", color="burlywood", weight=9]; 8.83/3.90 9 -> 5[label="",style="solid", color="burlywood", weight=3]; 8.83/3.90 4[label="null (vz30 : vz31)",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3]; 8.83/3.90 5[label="null []",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 8.83/3.90 6[label="False",fontsize=16,color="green",shape="box"];7[label="True",fontsize=16,color="green",shape="box"];} 8.83/3.90 8.83/3.90 ---------------------------------------- 8.83/3.90 8.83/3.90 (6) 8.83/3.90 YES 8.93/3.97 EOF