7.47/3.43 YES 9.57/3.95 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.57/3.95 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.57/3.95 9.57/3.95 9.57/3.95 H-Termination with start terms of the given HASKELL could be proven: 9.57/3.95 9.57/3.95 (0) HASKELL 9.57/3.95 (1) BR [EQUIVALENT, 0 ms] 9.57/3.95 (2) HASKELL 9.57/3.95 (3) COR [EQUIVALENT, 0 ms] 9.57/3.95 (4) HASKELL 9.57/3.95 (5) NumRed [SOUND, 0 ms] 9.57/3.95 (6) HASKELL 9.57/3.95 (7) Narrow [EQUIVALENT, 26 ms] 9.57/3.95 (8) YES 9.57/3.95 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (0) 9.57/3.95 Obligation: 9.57/3.95 mainModule Main 9.57/3.95 module Main where { 9.57/3.95 import qualified Prelude; 9.57/3.95 } 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (1) BR (EQUIVALENT) 9.57/3.95 Replaced joker patterns by fresh variables and removed binding patterns. 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (2) 9.57/3.95 Obligation: 9.57/3.95 mainModule Main 9.57/3.95 module Main where { 9.57/3.95 import qualified Prelude; 9.57/3.95 } 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (3) COR (EQUIVALENT) 9.57/3.95 Cond Reductions: 9.57/3.95 The following Function with conditions 9.57/3.95 "undefined |Falseundefined; 9.57/3.95 " 9.57/3.95 is transformed to 9.57/3.95 "undefined = undefined1; 9.57/3.95 " 9.57/3.95 "undefined0 True = undefined; 9.57/3.95 " 9.57/3.95 "undefined1 = undefined0 False; 9.57/3.95 " 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (4) 9.57/3.95 Obligation: 9.57/3.95 mainModule Main 9.57/3.95 module Main where { 9.57/3.95 import qualified Prelude; 9.57/3.95 } 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (5) NumRed (SOUND) 9.57/3.95 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (6) 9.57/3.95 Obligation: 9.57/3.95 mainModule Main 9.57/3.95 module Main where { 9.57/3.95 import qualified Prelude; 9.57/3.95 } 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (7) Narrow (EQUIVALENT) 9.57/3.95 Haskell To QDPs 9.57/3.95 9.57/3.95 digraph dp_graph { 9.57/3.95 node [outthreshold=100, inthreshold=100];1[label="fromIntegral",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.57/3.95 3[label="fromIntegral vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.57/3.95 4[label="fromInteger . toInteger",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.57/3.95 5[label="fromInteger (toInteger vx3)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.57/3.95 6[label="primIntegerToFloat (toInteger vx3)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.57/3.95 7[label="primIntegerToFloat (Integer vx3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.57/3.95 8[label="primIntToFloat vx3",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.57/3.95 9[label="Float vx3 (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];} 9.57/3.95 9.57/3.95 ---------------------------------------- 9.57/3.95 9.57/3.95 (8) 9.57/3.95 YES 9.62/4.01 EOF