7.50/3.46 YES 9.17/3.89 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.17/3.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.17/3.89 9.17/3.89 9.17/3.89 H-Termination with start terms of the given HASKELL could be proven: 9.17/3.89 9.17/3.89 (0) HASKELL 9.17/3.89 (1) BR [EQUIVALENT, 0 ms] 9.17/3.89 (2) HASKELL 9.17/3.89 (3) COR [EQUIVALENT, 0 ms] 9.17/3.89 (4) HASKELL 9.17/3.89 (5) Narrow [EQUIVALENT, 0 ms] 9.17/3.89 (6) YES 9.17/3.89 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (0) 9.17/3.89 Obligation: 9.17/3.89 mainModule Main 9.17/3.89 module Main where { 9.17/3.89 import qualified Prelude; 9.17/3.89 } 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (1) BR (EQUIVALENT) 9.17/3.89 Replaced joker patterns by fresh variables and removed binding patterns. 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (2) 9.17/3.89 Obligation: 9.17/3.89 mainModule Main 9.17/3.89 module Main where { 9.17/3.89 import qualified Prelude; 9.17/3.89 } 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (3) COR (EQUIVALENT) 9.17/3.89 Cond Reductions: 9.17/3.89 The following Function with conditions 9.17/3.89 "undefined |Falseundefined; 9.17/3.89 " 9.17/3.89 is transformed to 9.17/3.89 "undefined = undefined1; 9.17/3.89 " 9.17/3.89 "undefined0 True = undefined; 9.17/3.89 " 9.17/3.89 "undefined1 = undefined0 False; 9.17/3.89 " 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (4) 9.17/3.89 Obligation: 9.17/3.89 mainModule Main 9.17/3.89 module Main where { 9.17/3.89 import qualified Prelude; 9.17/3.89 } 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (5) Narrow (EQUIVALENT) 9.17/3.89 Haskell To QDPs 9.17/3.89 9.17/3.89 digraph dp_graph { 9.17/3.89 node [outthreshold=100, inthreshold=100];1[label="catch",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.17/3.89 3[label="catch vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.17/3.89 4[label="catch vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.17/3.89 5[label="pCatch (errorFrame vx3) vx4",fontsize=16,color="burlywood",shape="box"];24[label="vx3/IO vx30",fontsize=10,color="white",style="solid",shape="box"];5 -> 24[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 24 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 25[label="vx3/AProVE_IO vx30",fontsize=10,color="white",style="solid",shape="box"];5 -> 25[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 25 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 26[label="vx3/AProVE_Exception vx30",fontsize=10,color="white",style="solid",shape="box"];5 -> 26[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 26 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 27[label="vx3/AProVE_Error vx30",fontsize=10,color="white",style="solid",shape="box"];5 -> 27[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 27 -> 9[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 6[label="pCatch (errorFrame (IO vx30)) vx4",fontsize=16,color="black",shape="box"];6 -> 10[label="",style="solid", color="black", weight=3]; 9.17/3.89 7[label="pCatch (errorFrame (AProVE_IO vx30)) vx4",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 9.17/3.89 8[label="pCatch (errorFrame (AProVE_Exception vx30)) vx4",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9.17/3.89 9[label="pCatch (errorFrame (AProVE_Error vx30)) vx4",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 9.17/3.89 10[label="pCatch (IO vx30) vx4",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 9.17/3.89 11[label="pCatch (AProVE_IO vx30) vx4",fontsize=16,color="black",shape="box"];11 -> 15[label="",style="solid", color="black", weight=3]; 9.17/3.89 12[label="pCatch (AProVE_Exception vx30) vx4",fontsize=16,color="burlywood",shape="box"];28[label="vx30/AET_IOError vx300",fontsize=10,color="white",style="solid",shape="box"];12 -> 28[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 28 -> 16[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 29[label="vx30/AET_MatchFailure vx300",fontsize=10,color="white",style="solid",shape="box"];12 -> 29[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 29 -> 17[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 30[label="vx30/AET_ErrorCall vx300",fontsize=10,color="white",style="solid",shape="box"];12 -> 30[label="",style="solid", color="burlywood", weight=9]; 9.17/3.89 30 -> 18[label="",style="solid", color="burlywood", weight=3]; 9.17/3.89 13[label="pCatch (AProVE_Error vx30) vx4",fontsize=16,color="black",shape="box"];13 -> 19[label="",style="solid", color="black", weight=3]; 9.17/3.89 14[label="IO vx30",fontsize=16,color="green",shape="box"];15[label="AProVE_IO vx30",fontsize=16,color="green",shape="box"];16[label="pCatch (AProVE_Exception (AET_IOError vx300)) vx4",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 9.17/3.89 17[label="pCatch (AProVE_Exception (AET_MatchFailure vx300)) vx4",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 9.17/3.89 18[label="pCatch (AProVE_Exception (AET_ErrorCall vx300)) vx4",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3]; 9.17/3.89 19[label="AProVE_Error vx30",fontsize=16,color="green",shape="box"];20[label="vx4 vx300",fontsize=16,color="green",shape="box"];20 -> 23[label="",style="dashed", color="green", weight=3]; 9.17/3.89 21[label="AProVE_Exception (AET_MatchFailure vx300)",fontsize=16,color="green",shape="box"];22[label="AProVE_Exception (AET_ErrorCall vx300)",fontsize=16,color="green",shape="box"];23[label="vx300",fontsize=16,color="green",shape="box"];} 9.17/3.89 9.17/3.89 ---------------------------------------- 9.17/3.89 9.17/3.89 (6) 9.17/3.89 YES 9.24/3.92 EOF