7.90/3.51 YES 9.36/3.97 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.36/3.97 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.36/3.97 9.36/3.97 9.36/3.97 H-Termination with start terms of the given HASKELL could be proven: 9.36/3.97 9.36/3.97 (0) HASKELL 9.36/3.97 (1) BR [EQUIVALENT, 0 ms] 9.36/3.97 (2) HASKELL 9.36/3.97 (3) COR [EQUIVALENT, 0 ms] 9.36/3.97 (4) HASKELL 9.36/3.97 (5) Narrow [EQUIVALENT, 27 ms] 9.36/3.97 (6) YES 9.36/3.97 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (0) 9.36/3.97 Obligation: 9.36/3.97 mainModule Main 9.36/3.97 module Main where { 9.36/3.97 import qualified Prelude; 9.36/3.97 } 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (1) BR (EQUIVALENT) 9.36/3.97 Replaced joker patterns by fresh variables and removed binding patterns. 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (2) 9.36/3.97 Obligation: 9.36/3.97 mainModule Main 9.36/3.97 module Main where { 9.36/3.97 import qualified Prelude; 9.36/3.97 } 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (3) COR (EQUIVALENT) 9.36/3.97 Cond Reductions: 9.36/3.97 The following Function with conditions 9.36/3.97 "undefined |Falseundefined; 9.36/3.97 " 9.36/3.97 is transformed to 9.36/3.97 "undefined = undefined1; 9.36/3.97 " 9.36/3.97 "undefined0 True = undefined; 9.36/3.97 " 9.36/3.97 "undefined1 = undefined0 False; 9.36/3.97 " 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (4) 9.36/3.97 Obligation: 9.36/3.97 mainModule Main 9.36/3.97 module Main where { 9.36/3.97 import qualified Prelude; 9.36/3.97 } 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (5) Narrow (EQUIVALENT) 9.36/3.97 Haskell To QDPs 9.36/3.97 9.36/3.97 digraph dp_graph { 9.36/3.97 node [outthreshold=100, inthreshold=100];1[label="fromRational",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.36/3.97 3[label="fromRational vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.36/3.97 4[label="primRationalToFloat vx3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.36/3.97 5[label="rationalToFloat vx3",fontsize=16,color="burlywood",shape="box"];10[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];5 -> 10[label="",style="solid", color="burlywood", weight=9]; 9.36/3.97 10 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.36/3.97 6[label="rationalToFloat (vx30 :% vx31)",fontsize=16,color="burlywood",shape="box"];11[label="vx30/Integer vx300",fontsize=10,color="white",style="solid",shape="box"];6 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.36/3.97 11 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.36/3.97 7[label="rationalToFloat (Integer vx300 :% vx31)",fontsize=16,color="burlywood",shape="box"];12[label="vx31/Integer vx310",fontsize=10,color="white",style="solid",shape="box"];7 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.36/3.97 12 -> 8[label="",style="solid", color="burlywood", weight=3]; 9.36/3.97 8[label="rationalToFloat (Integer vx300 :% Integer vx310)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.36/3.97 9[label="Float vx300 vx310",fontsize=16,color="green",shape="box"];} 9.36/3.97 9.36/3.97 ---------------------------------------- 9.36/3.97 9.36/3.97 (6) 9.36/3.97 YES 9.62/4.07 EOF