7.76/3.54 YES 9.05/3.98 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.05/3.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.05/3.98 9.05/3.98 9.05/3.98 H-Termination with start terms of the given HASKELL could be proven: 9.05/3.98 9.05/3.98 (0) HASKELL 9.05/3.98 (1) BR [EQUIVALENT, 0 ms] 9.05/3.98 (2) HASKELL 9.05/3.98 (3) COR [EQUIVALENT, 0 ms] 9.05/3.98 (4) HASKELL 9.05/3.98 (5) Narrow [EQUIVALENT, 30 ms] 9.05/3.98 (6) YES 9.05/3.98 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (0) 9.05/3.98 Obligation: 9.05/3.98 mainModule Main 9.05/3.98 module Main where { 9.05/3.98 import qualified Prelude; 9.05/3.98 } 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (1) BR (EQUIVALENT) 9.05/3.98 Replaced joker patterns by fresh variables and removed binding patterns. 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (2) 9.05/3.98 Obligation: 9.05/3.98 mainModule Main 9.05/3.98 module Main where { 9.05/3.98 import qualified Prelude; 9.05/3.98 } 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (3) COR (EQUIVALENT) 9.05/3.98 Cond Reductions: 9.05/3.98 The following Function with conditions 9.05/3.98 "undefined |Falseundefined; 9.05/3.98 " 9.05/3.98 is transformed to 9.05/3.98 "undefined = undefined1; 9.05/3.98 " 9.05/3.98 "undefined0 True = undefined; 9.05/3.98 " 9.05/3.98 "undefined1 = undefined0 False; 9.05/3.98 " 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (4) 9.05/3.98 Obligation: 9.05/3.98 mainModule Main 9.05/3.98 module Main where { 9.05/3.98 import qualified Prelude; 9.05/3.98 } 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (5) Narrow (EQUIVALENT) 9.05/3.98 Haskell To QDPs 9.05/3.98 9.05/3.98 digraph dp_graph { 9.05/3.98 node [outthreshold=100, inthreshold=100];1[label="(=<<)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.05/3.98 3[label="(=<<) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.05/3.98 4[label="(=<<) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.05/3.98 5[label="vx4 >>= vx3",fontsize=16,color="burlywood",shape="box"];11[label="vx4/Nothing",fontsize=10,color="white",style="solid",shape="box"];5 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.05/3.98 11 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.05/3.98 12[label="vx4/Just vx40",fontsize=10,color="white",style="solid",shape="box"];5 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.05/3.98 12 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.05/3.98 6[label="Nothing >>= vx3",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.05/3.98 7[label="Just vx40 >>= vx3",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 9.05/3.98 8[label="Nothing",fontsize=16,color="green",shape="box"];9[label="vx3 vx40",fontsize=16,color="green",shape="box"];9 -> 10[label="",style="dashed", color="green", weight=3]; 9.05/3.98 10[label="vx40",fontsize=16,color="green",shape="box"];} 9.05/3.98 9.05/3.98 ---------------------------------------- 9.05/3.98 9.05/3.98 (6) 9.05/3.98 YES 9.38/4.03 EOF