8.07/3.52 YES 9.97/4.04 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.97/4.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.97/4.04 9.97/4.04 9.97/4.04 H-Termination with start terms of the given HASKELL could be proven: 9.97/4.04 9.97/4.04 (0) HASKELL 9.97/4.04 (1) BR [EQUIVALENT, 0 ms] 9.97/4.04 (2) HASKELL 9.97/4.04 (3) COR [EQUIVALENT, 0 ms] 9.97/4.04 (4) HASKELL 9.97/4.04 (5) NumRed [SOUND, 0 ms] 9.97/4.04 (6) HASKELL 9.97/4.04 (7) Narrow [EQUIVALENT, 19 ms] 9.97/4.04 (8) YES 9.97/4.04 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (0) 9.97/4.04 Obligation: 9.97/4.04 mainModule Main 9.97/4.04 module Main where { 9.97/4.04 import qualified Prelude; 9.97/4.04 } 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (1) BR (EQUIVALENT) 9.97/4.04 Replaced joker patterns by fresh variables and removed binding patterns. 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (2) 9.97/4.04 Obligation: 9.97/4.04 mainModule Main 9.97/4.04 module Main where { 9.97/4.04 import qualified Prelude; 9.97/4.04 } 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (3) COR (EQUIVALENT) 9.97/4.04 Cond Reductions: 9.97/4.04 The following Function with conditions 9.97/4.04 "undefined |Falseundefined; 9.97/4.04 " 9.97/4.04 is transformed to 9.97/4.04 "undefined = undefined1; 9.97/4.04 " 9.97/4.04 "undefined0 True = undefined; 9.97/4.04 " 9.97/4.04 "undefined1 = undefined0 False; 9.97/4.04 " 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (4) 9.97/4.04 Obligation: 9.97/4.04 mainModule Main 9.97/4.04 module Main where { 9.97/4.04 import qualified Prelude; 9.97/4.04 } 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (5) NumRed (SOUND) 9.97/4.04 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (6) 9.97/4.04 Obligation: 9.97/4.04 mainModule Main 9.97/4.04 module Main where { 9.97/4.04 import qualified Prelude; 9.97/4.04 } 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (7) Narrow (EQUIVALENT) 9.97/4.04 Haskell To QDPs 9.97/4.04 9.97/4.04 digraph dp_graph { 9.97/4.04 node [outthreshold=100, inthreshold=100];1[label="show",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.97/4.04 3[label="show vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.97/4.04 4[label="showsPrec (Pos Zero) vx3 []",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.97/4.04 5[label="primShowsFloat (Pos Zero) vx3 []",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.97/4.04 6[label="terminator (Pos Zero) vx3 []",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.97/4.04 7[label="ter0m (Pos Zero) vx3 []",fontsize=16,color="green",shape="box"];7 -> 8[label="",style="dashed", color="green", weight=3]; 9.97/4.04 7 -> 9[label="",style="dashed", color="green", weight=3]; 9.97/4.04 7 -> 10[label="",style="dashed", color="green", weight=3]; 9.97/4.04 8[label="Pos Zero",fontsize=16,color="green",shape="box"];9[label="vx3",fontsize=16,color="green",shape="box"];10[label="[]",fontsize=16,color="green",shape="box"];} 9.97/4.04 9.97/4.04 ---------------------------------------- 9.97/4.04 9.97/4.04 (8) 9.97/4.04 YES 10.15/4.07 EOF