7.85/3.53 YES 9.19/3.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.19/3.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.19/3.96 9.19/3.96 9.19/3.96 H-Termination with start terms of the given HASKELL could be proven: 9.19/3.96 9.19/3.96 (0) HASKELL 9.19/3.96 (1) BR [EQUIVALENT, 0 ms] 9.19/3.96 (2) HASKELL 9.19/3.96 (3) COR [EQUIVALENT, 0 ms] 9.19/3.96 (4) HASKELL 9.19/3.96 (5) Narrow [EQUIVALENT, 0 ms] 9.19/3.96 (6) YES 9.19/3.96 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (0) 9.19/3.96 Obligation: 9.19/3.96 mainModule Main 9.19/3.96 module Main where { 9.19/3.96 import qualified Prelude; 9.19/3.96 } 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (1) BR (EQUIVALENT) 9.19/3.96 Replaced joker patterns by fresh variables and removed binding patterns. 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (2) 9.19/3.96 Obligation: 9.19/3.96 mainModule Main 9.19/3.96 module Main where { 9.19/3.96 import qualified Prelude; 9.19/3.96 } 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (3) COR (EQUIVALENT) 9.19/3.96 Cond Reductions: 9.19/3.96 The following Function with conditions 9.19/3.96 "undefined |Falseundefined; 9.19/3.96 " 9.19/3.96 is transformed to 9.19/3.96 "undefined = undefined1; 9.19/3.96 " 9.19/3.96 "undefined0 True = undefined; 9.19/3.96 " 9.19/3.96 "undefined1 = undefined0 False; 9.19/3.96 " 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (4) 9.19/3.96 Obligation: 9.19/3.96 mainModule Main 9.19/3.96 module Main where { 9.19/3.96 import qualified Prelude; 9.19/3.96 } 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (5) Narrow (EQUIVALENT) 9.19/3.96 Haskell To QDPs 9.19/3.96 9.19/3.96 digraph dp_graph { 9.19/3.96 node [outthreshold=100, inthreshold=100];1[label="return",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.19/3.96 3[label="return vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.19/3.96 4[label="vx3 : []",fontsize=16,color="green",shape="box"];} 9.19/3.96 9.19/3.96 ---------------------------------------- 9.19/3.96 9.19/3.96 (6) 9.19/3.96 YES 9.42/4.00 EOF