7.68/3.44 YES 9.71/3.99 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.71/3.99 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.71/3.99 9.71/3.99 9.71/3.99 H-Termination with start terms of the given HASKELL could be proven: 9.71/3.99 9.71/3.99 (0) HASKELL 9.71/3.99 (1) BR [EQUIVALENT, 0 ms] 9.71/3.99 (2) HASKELL 9.71/3.99 (3) COR [EQUIVALENT, 0 ms] 9.71/3.99 (4) HASKELL 9.71/3.99 (5) NumRed [SOUND, 0 ms] 9.71/3.99 (6) HASKELL 9.71/3.99 (7) Narrow [EQUIVALENT, 27 ms] 9.71/3.99 (8) YES 9.71/3.99 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (0) 9.71/3.99 Obligation: 9.71/3.99 mainModule Main 9.71/3.99 module Main where { 9.71/3.99 import qualified Prelude; 9.71/3.99 } 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (1) BR (EQUIVALENT) 9.71/3.99 Replaced joker patterns by fresh variables and removed binding patterns. 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (2) 9.71/3.99 Obligation: 9.71/3.99 mainModule Main 9.71/3.99 module Main where { 9.71/3.99 import qualified Prelude; 9.71/3.99 } 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (3) COR (EQUIVALENT) 9.71/3.99 Cond Reductions: 9.71/3.99 The following Function with conditions 9.71/3.99 "undefined |Falseundefined; 9.71/3.99 " 9.71/3.99 is transformed to 9.71/3.99 "undefined = undefined1; 9.71/3.99 " 9.71/3.99 "undefined0 True = undefined; 9.71/3.99 " 9.71/3.99 "undefined1 = undefined0 False; 9.71/3.99 " 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (4) 9.71/3.99 Obligation: 9.71/3.99 mainModule Main 9.71/3.99 module Main where { 9.71/3.99 import qualified Prelude; 9.71/3.99 } 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (5) NumRed (SOUND) 9.71/3.99 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (6) 9.71/3.99 Obligation: 9.71/3.99 mainModule Main 9.71/3.99 module Main where { 9.71/3.99 import qualified Prelude; 9.71/3.99 } 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (7) Narrow (EQUIVALENT) 9.71/3.99 Haskell To QDPs 9.71/3.99 9.71/3.99 digraph dp_graph { 9.71/3.99 node [outthreshold=100, inthreshold=100];1[label="floatRadix",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.71/3.99 3[label="floatRadix vy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.71/3.99 4[label="primFloatRadix",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.71/3.99 5[label="fromInt (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.71/3.99 6[label="Integer (Pos (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];} 9.71/3.99 9.71/3.99 ---------------------------------------- 9.71/3.99 9.71/3.99 (8) 9.71/3.99 YES 9.77/4.08 EOF