8.07/3.57 YES 9.64/4.01 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.64/4.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.64/4.01 9.64/4.01 9.64/4.01 H-Termination with start terms of the given HASKELL could be proven: 9.64/4.01 9.64/4.01 (0) HASKELL 9.64/4.01 (1) BR [EQUIVALENT, 0 ms] 9.64/4.01 (2) HASKELL 9.64/4.01 (3) COR [EQUIVALENT, 0 ms] 9.64/4.01 (4) HASKELL 9.64/4.01 (5) Narrow [EQUIVALENT, 19 ms] 9.64/4.01 (6) YES 9.64/4.01 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (0) 9.64/4.01 Obligation: 9.64/4.01 mainModule Main 9.64/4.01 module Main where { 9.64/4.01 import qualified Prelude; 9.64/4.01 } 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (1) BR (EQUIVALENT) 9.64/4.01 Replaced joker patterns by fresh variables and removed binding patterns. 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (2) 9.64/4.01 Obligation: 9.64/4.01 mainModule Main 9.64/4.01 module Main where { 9.64/4.01 import qualified Prelude; 9.64/4.01 } 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (3) COR (EQUIVALENT) 9.64/4.01 Cond Reductions: 9.64/4.01 The following Function with conditions 9.64/4.01 "undefined |Falseundefined; 9.64/4.01 " 9.64/4.01 is transformed to 9.64/4.01 "undefined = undefined1; 9.64/4.01 " 9.64/4.01 "undefined0 True = undefined; 9.64/4.01 " 9.64/4.01 "undefined1 = undefined0 False; 9.64/4.01 " 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (4) 9.64/4.01 Obligation: 9.64/4.01 mainModule Main 9.64/4.01 module Main where { 9.64/4.01 import qualified Prelude; 9.64/4.01 } 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (5) Narrow (EQUIVALENT) 9.64/4.01 Haskell To QDPs 9.64/4.01 9.64/4.01 digraph dp_graph { 9.64/4.01 node [outthreshold=100, inthreshold=100];1[label="fromRational",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.64/4.01 3[label="fromRational vx3",fontsize=16,color="burlywood",shape="triangle"];11[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];3 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.64/4.01 11 -> 4[label="",style="solid", color="burlywood", weight=3]; 9.64/4.01 4[label="fromRational (vx30 :% vx31)",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.64/4.01 5[label="fromInteger vx30 :% fromInteger vx31",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3]; 9.64/4.01 5 -> 7[label="",style="dashed", color="green", weight=3]; 9.64/4.01 6[label="fromInteger vx30",fontsize=16,color="burlywood",shape="triangle"];12[label="vx30/Integer vx300",fontsize=10,color="white",style="solid",shape="box"];6 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.64/4.01 12 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.64/4.01 7 -> 6[label="",style="dashed", color="red", weight=0]; 9.64/4.01 7[label="fromInteger vx31",fontsize=16,color="magenta"];7 -> 9[label="",style="dashed", color="magenta", weight=3]; 9.64/4.01 8[label="fromInteger (Integer vx300)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9.64/4.01 9[label="vx31",fontsize=16,color="green",shape="box"];10[label="vx300",fontsize=16,color="green",shape="box"];} 9.64/4.01 9.64/4.01 ---------------------------------------- 9.64/4.01 9.64/4.01 (6) 9.64/4.01 YES 9.64/4.05 EOF