7.76/3.47 YES 9.06/3.91 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.06/3.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.06/3.91 9.06/3.91 9.06/3.91 H-Termination with start terms of the given HASKELL could be proven: 9.06/3.91 9.06/3.91 (0) HASKELL 9.06/3.91 (1) BR [EQUIVALENT, 0 ms] 9.06/3.91 (2) HASKELL 9.06/3.91 (3) COR [EQUIVALENT, 0 ms] 9.06/3.91 (4) HASKELL 9.06/3.91 (5) Narrow [EQUIVALENT, 0 ms] 9.06/3.91 (6) YES 9.06/3.91 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (0) 9.06/3.91 Obligation: 9.06/3.91 mainModule Main 9.06/3.91 module Main where { 9.06/3.91 import qualified Prelude; 9.06/3.91 } 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (1) BR (EQUIVALENT) 9.06/3.91 Replaced joker patterns by fresh variables and removed binding patterns. 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (2) 9.06/3.91 Obligation: 9.06/3.91 mainModule Main 9.06/3.91 module Main where { 9.06/3.91 import qualified Prelude; 9.06/3.91 } 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (3) COR (EQUIVALENT) 9.06/3.91 Cond Reductions: 9.06/3.91 The following Function with conditions 9.06/3.91 "undefined |Falseundefined; 9.06/3.91 " 9.06/3.91 is transformed to 9.06/3.91 "undefined = undefined1; 9.06/3.91 " 9.06/3.91 "undefined0 True = undefined; 9.06/3.91 " 9.06/3.91 "undefined1 = undefined0 False; 9.06/3.91 " 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (4) 9.06/3.91 Obligation: 9.06/3.91 mainModule Main 9.06/3.91 module Main where { 9.06/3.91 import qualified Prelude; 9.06/3.91 } 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (5) Narrow (EQUIVALENT) 9.06/3.91 Haskell To QDPs 9.06/3.91 9.06/3.91 digraph dp_graph { 9.06/3.91 node [outthreshold=100, inthreshold=100];1[label="uncurry",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.06/3.91 3[label="uncurry vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.06/3.91 4[label="uncurry vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.06/3.91 5[label="vz3 (fst vz4) (snd vz4)",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3]; 9.06/3.91 5 -> 7[label="",style="dashed", color="green", weight=3]; 9.06/3.91 6[label="fst vz4",fontsize=16,color="burlywood",shape="box"];12[label="vz4/(vz40,vz41)",fontsize=10,color="white",style="solid",shape="box"];6 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.06/3.91 12 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.06/3.91 7[label="snd vz4",fontsize=16,color="burlywood",shape="box"];13[label="vz4/(vz40,vz41)",fontsize=10,color="white",style="solid",shape="box"];7 -> 13[label="",style="solid", color="burlywood", weight=9]; 9.06/3.91 13 -> 9[label="",style="solid", color="burlywood", weight=3]; 9.06/3.91 8[label="fst (vz40,vz41)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9.06/3.91 9[label="snd (vz40,vz41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 9.06/3.91 10[label="vz40",fontsize=16,color="green",shape="box"];11[label="vz41",fontsize=16,color="green",shape="box"];} 9.06/3.91 9.06/3.91 ---------------------------------------- 9.06/3.91 9.06/3.91 (6) 9.06/3.91 YES 9.44/3.94 EOF