7.47/3.57 YES 9.30/4.03 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.30/4.03 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.30/4.03 9.30/4.03 9.30/4.03 H-Termination with start terms of the given HASKELL could be proven: 9.30/4.03 9.30/4.03 (0) HASKELL 9.30/4.03 (1) BR [EQUIVALENT, 0 ms] 9.30/4.03 (2) HASKELL 9.30/4.03 (3) COR [EQUIVALENT, 0 ms] 9.30/4.03 (4) HASKELL 9.30/4.03 (5) Narrow [EQUIVALENT, 0 ms] 9.30/4.03 (6) YES 9.30/4.03 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (0) 9.30/4.03 Obligation: 9.30/4.03 mainModule Main 9.30/4.03 module Main where { 9.30/4.03 import qualified Prelude; 9.30/4.03 } 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (1) BR (EQUIVALENT) 9.30/4.03 Replaced joker patterns by fresh variables and removed binding patterns. 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (2) 9.30/4.03 Obligation: 9.30/4.03 mainModule Main 9.30/4.03 module Main where { 9.30/4.03 import qualified Prelude; 9.30/4.03 } 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (3) COR (EQUIVALENT) 9.30/4.03 Cond Reductions: 9.30/4.03 The following Function with conditions 9.30/4.03 "undefined |Falseundefined; 9.30/4.03 " 9.30/4.03 is transformed to 9.30/4.03 "undefined = undefined1; 9.30/4.03 " 9.30/4.03 "undefined0 True = undefined; 9.30/4.03 " 9.30/4.03 "undefined1 = undefined0 False; 9.30/4.03 " 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (4) 9.30/4.03 Obligation: 9.30/4.03 mainModule Main 9.30/4.03 module Main where { 9.30/4.03 import qualified Prelude; 9.30/4.03 } 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (5) Narrow (EQUIVALENT) 9.30/4.03 Haskell To QDPs 9.30/4.03 9.30/4.03 digraph dp_graph { 9.30/4.03 node [outthreshold=100, inthreshold=100];1[label="denominator",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.30/4.03 3[label="denominator vx3",fontsize=16,color="burlywood",shape="triangle"];6[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];3 -> 6[label="",style="solid", color="burlywood", weight=9]; 9.30/4.03 6 -> 4[label="",style="solid", color="burlywood", weight=3]; 9.30/4.03 4[label="denominator (vx30 :% vx31)",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.30/4.03 5[label="vx31",fontsize=16,color="green",shape="box"];} 9.30/4.03 9.30/4.03 ---------------------------------------- 9.30/4.03 9.30/4.03 (6) 9.30/4.03 YES 9.30/4.09 EOF