9.06/3.85 YES 11.06/4.40 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 11.06/4.40 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.06/4.40 11.06/4.40 11.06/4.40 H-Termination with start terms of the given HASKELL could be proven: 11.06/4.40 11.06/4.40 (0) HASKELL 11.06/4.40 (1) LR [EQUIVALENT, 0 ms] 11.06/4.40 (2) HASKELL 11.06/4.40 (3) BR [EQUIVALENT, 0 ms] 11.06/4.40 (4) HASKELL 11.06/4.40 (5) COR [EQUIVALENT, 0 ms] 11.06/4.40 (6) HASKELL 11.06/4.40 (7) Narrow [EQUIVALENT, 9 ms] 11.06/4.40 (8) YES 11.06/4.40 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (0) 11.06/4.40 Obligation: 11.06/4.40 mainModule Main 11.06/4.40 module Maybe where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Main where { 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Monad where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Prelude; 11.06/4.40 liftM5 :: Monad b => (c -> d -> g -> a -> e -> f) -> b c -> b d -> b g -> b a -> b e -> b f; 11.06/4.40 liftM5 f m1 m2 m3 m4 m5 = m1 >>= (\x1 ->m2 >>= (\x2 ->m3 >>= (\x3 ->m4 >>= (\x4 ->m5 >>= (\x5 ->return (f x1 x2 x3 x4 x5)))))); 11.06/4.40 11.06/4.40 } 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (1) LR (EQUIVALENT) 11.06/4.40 Lambda Reductions: 11.06/4.40 The following Lambda expression 11.06/4.40 "\x5->return (f x1 x2 x3 x4 x5)" 11.06/4.40 is transformed to 11.06/4.40 "liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5); 11.06/4.40 " 11.06/4.40 The following Lambda expression 11.06/4.40 "\x4->m5 >>= liftM50 f x1 x2 x3 x4" 11.06/4.40 is transformed to 11.06/4.40 "liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4; 11.06/4.40 " 11.06/4.40 The following Lambda expression 11.06/4.40 "\x3->m4 >>= liftM51 m5 f x1 x2 x3" 11.06/4.40 is transformed to 11.06/4.40 "liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3; 11.06/4.40 " 11.06/4.40 The following Lambda expression 11.06/4.40 "\x2->m3 >>= liftM52 m4 m5 f x1 x2" 11.06/4.40 is transformed to 11.06/4.40 "liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2; 11.06/4.40 " 11.06/4.40 The following Lambda expression 11.06/4.40 "\x1->m2 >>= liftM53 m3 m4 m5 f x1" 11.06/4.40 is transformed to 11.06/4.40 "liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 f x1; 11.06/4.40 " 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (2) 11.06/4.40 Obligation: 11.06/4.40 mainModule Main 11.06/4.40 module Maybe where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Main where { 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Monad where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Prelude; 11.06/4.40 liftM5 :: Monad c => (g -> a -> e -> b -> d -> f) -> c g -> c a -> c e -> c b -> c d -> c f; 11.06/4.40 liftM5 f m1 m2 m3 m4 m5 = m1 >>= liftM54 m2 m3 m4 m5 f; 11.06/4.40 11.06/4.40 liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5); 11.06/4.40 11.06/4.40 liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4; 11.06/4.40 11.06/4.40 liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3; 11.06/4.40 11.06/4.40 liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2; 11.06/4.40 11.06/4.40 liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 f x1; 11.06/4.40 11.06/4.40 } 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (3) BR (EQUIVALENT) 11.06/4.40 Replaced joker patterns by fresh variables and removed binding patterns. 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (4) 11.06/4.40 Obligation: 11.06/4.40 mainModule Main 11.06/4.40 module Maybe where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Main where { 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Monad where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Prelude; 11.06/4.40 liftM5 :: Monad f => (c -> e -> d -> a -> b -> g) -> f c -> f e -> f d -> f a -> f b -> f g; 11.06/4.40 liftM5 f m1 m2 m3 m4 m5 = m1 >>= liftM54 m2 m3 m4 m5 f; 11.06/4.40 11.06/4.40 liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5); 11.06/4.40 11.06/4.40 liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4; 11.06/4.40 11.06/4.40 liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3; 11.06/4.40 11.06/4.40 liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2; 11.06/4.40 11.06/4.40 liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 f x1; 11.06/4.40 11.06/4.40 } 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (5) COR (EQUIVALENT) 11.06/4.40 Cond Reductions: 11.06/4.40 The following Function with conditions 11.06/4.40 "undefined |Falseundefined; 11.06/4.40 " 11.06/4.40 is transformed to 11.06/4.40 "undefined = undefined1; 11.06/4.40 " 11.06/4.40 "undefined0 True = undefined; 11.06/4.40 " 11.06/4.40 "undefined1 = undefined0 False; 11.06/4.40 " 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (6) 11.06/4.40 Obligation: 11.06/4.40 mainModule Main 11.06/4.40 module Maybe where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Main where { 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Monad; 11.06/4.40 import qualified Prelude; 11.06/4.40 } 11.06/4.40 module Monad where { 11.06/4.40 import qualified Main; 11.06/4.40 import qualified Maybe; 11.06/4.40 import qualified Prelude; 11.06/4.40 liftM5 :: Monad g => (e -> f -> a -> b -> d -> c) -> g e -> g f -> g a -> g b -> g d -> g c; 11.06/4.40 liftM5 f m1 m2 m3 m4 m5 = m1 >>= liftM54 m2 m3 m4 m5 f; 11.06/4.40 11.06/4.40 liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5); 11.06/4.40 11.06/4.40 liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4; 11.06/4.40 11.06/4.40 liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3; 11.06/4.40 11.06/4.40 liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2; 11.06/4.40 11.06/4.40 liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 f x1; 11.06/4.40 11.06/4.40 } 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (7) Narrow (EQUIVALENT) 11.06/4.40 Haskell To QDPs 11.06/4.40 11.06/4.40 digraph dp_graph { 11.06/4.40 node [outthreshold=100, inthreshold=100];1[label="Monad.liftM5",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 3[label="Monad.liftM5 vy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 4[label="Monad.liftM5 vy3 vy4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 5[label="Monad.liftM5 vy3 vy4 vy5",fontsize=16,color="grey",shape="box"];5 -> 6[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 6[label="Monad.liftM5 vy3 vy4 vy5 vy6",fontsize=16,color="grey",shape="box"];6 -> 7[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 7[label="Monad.liftM5 vy3 vy4 vy5 vy6 vy7",fontsize=16,color="grey",shape="box"];7 -> 8[label="",style="dashed", color="grey", weight=3]; 11.06/4.40 8[label="Monad.liftM5 vy3 vy4 vy5 vy6 vy7 vy8",fontsize=16,color="black",shape="triangle"];8 -> 9[label="",style="solid", color="black", weight=3]; 11.06/4.40 9[label="vy4 >>= Monad.liftM54 vy5 vy6 vy7 vy8 vy3",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 11.06/4.40 10[label="primbindIO vy4 (Monad.liftM54 vy5 vy6 vy7 vy8 vy3)",fontsize=16,color="burlywood",shape="box"];68[label="vy4/IO vy40",fontsize=10,color="white",style="solid",shape="box"];10 -> 68[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 68 -> 11[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 69[label="vy4/AProVE_IO vy40",fontsize=10,color="white",style="solid",shape="box"];10 -> 69[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 69 -> 12[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 70[label="vy4/AProVE_Exception vy40",fontsize=10,color="white",style="solid",shape="box"];10 -> 70[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 70 -> 13[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 71[label="vy4/AProVE_Error vy40",fontsize=10,color="white",style="solid",shape="box"];10 -> 71[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 71 -> 14[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 11[label="primbindIO (IO vy40) (Monad.liftM54 vy5 vy6 vy7 vy8 vy3)",fontsize=16,color="black",shape="box"];11 -> 15[label="",style="solid", color="black", weight=3]; 11.06/4.40 12[label="primbindIO (AProVE_IO vy40) (Monad.liftM54 vy5 vy6 vy7 vy8 vy3)",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3]; 11.06/4.40 13[label="primbindIO (AProVE_Exception vy40) (Monad.liftM54 vy5 vy6 vy7 vy8 vy3)",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 11.06/4.40 14[label="primbindIO (AProVE_Error vy40) (Monad.liftM54 vy5 vy6 vy7 vy8 vy3)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 11.06/4.40 15[label="error []",fontsize=16,color="red",shape="box"];16[label="Monad.liftM54 vy5 vy6 vy7 vy8 vy3 vy40",fontsize=16,color="black",shape="box"];16 -> 19[label="",style="solid", color="black", weight=3]; 11.06/4.40 17[label="AProVE_Exception vy40",fontsize=16,color="green",shape="box"];18[label="AProVE_Error vy40",fontsize=16,color="green",shape="box"];19[label="vy5 >>= Monad.liftM53 vy6 vy7 vy8 vy3 vy40",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3]; 11.06/4.40 20[label="primbindIO vy5 (Monad.liftM53 vy6 vy7 vy8 vy3 vy40)",fontsize=16,color="burlywood",shape="box"];72[label="vy5/IO vy50",fontsize=10,color="white",style="solid",shape="box"];20 -> 72[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 72 -> 21[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 73[label="vy5/AProVE_IO vy50",fontsize=10,color="white",style="solid",shape="box"];20 -> 73[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 73 -> 22[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 74[label="vy5/AProVE_Exception vy50",fontsize=10,color="white",style="solid",shape="box"];20 -> 74[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 74 -> 23[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 75[label="vy5/AProVE_Error vy50",fontsize=10,color="white",style="solid",shape="box"];20 -> 75[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 75 -> 24[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 21[label="primbindIO (IO vy50) (Monad.liftM53 vy6 vy7 vy8 vy3 vy40)",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3]; 11.06/4.40 22[label="primbindIO (AProVE_IO vy50) (Monad.liftM53 vy6 vy7 vy8 vy3 vy40)",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3]; 11.06/4.40 23[label="primbindIO (AProVE_Exception vy50) (Monad.liftM53 vy6 vy7 vy8 vy3 vy40)",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3]; 11.06/4.40 24[label="primbindIO (AProVE_Error vy50) (Monad.liftM53 vy6 vy7 vy8 vy3 vy40)",fontsize=16,color="black",shape="box"];24 -> 28[label="",style="solid", color="black", weight=3]; 11.06/4.40 25[label="error []",fontsize=16,color="red",shape="box"];26[label="Monad.liftM53 vy6 vy7 vy8 vy3 vy40 vy50",fontsize=16,color="black",shape="box"];26 -> 29[label="",style="solid", color="black", weight=3]; 11.06/4.40 27[label="AProVE_Exception vy50",fontsize=16,color="green",shape="box"];28[label="AProVE_Error vy50",fontsize=16,color="green",shape="box"];29[label="vy6 >>= Monad.liftM52 vy7 vy8 vy3 vy40 vy50",fontsize=16,color="black",shape="box"];29 -> 30[label="",style="solid", color="black", weight=3]; 11.06/4.40 30[label="primbindIO vy6 (Monad.liftM52 vy7 vy8 vy3 vy40 vy50)",fontsize=16,color="burlywood",shape="box"];76[label="vy6/IO vy60",fontsize=10,color="white",style="solid",shape="box"];30 -> 76[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 76 -> 31[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 77[label="vy6/AProVE_IO vy60",fontsize=10,color="white",style="solid",shape="box"];30 -> 77[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 77 -> 32[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 78[label="vy6/AProVE_Exception vy60",fontsize=10,color="white",style="solid",shape="box"];30 -> 78[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 78 -> 33[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 79[label="vy6/AProVE_Error vy60",fontsize=10,color="white",style="solid",shape="box"];30 -> 79[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 79 -> 34[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 31[label="primbindIO (IO vy60) (Monad.liftM52 vy7 vy8 vy3 vy40 vy50)",fontsize=16,color="black",shape="box"];31 -> 35[label="",style="solid", color="black", weight=3]; 11.06/4.40 32[label="primbindIO (AProVE_IO vy60) (Monad.liftM52 vy7 vy8 vy3 vy40 vy50)",fontsize=16,color="black",shape="box"];32 -> 36[label="",style="solid", color="black", weight=3]; 11.06/4.40 33[label="primbindIO (AProVE_Exception vy60) (Monad.liftM52 vy7 vy8 vy3 vy40 vy50)",fontsize=16,color="black",shape="box"];33 -> 37[label="",style="solid", color="black", weight=3]; 11.06/4.40 34[label="primbindIO (AProVE_Error vy60) (Monad.liftM52 vy7 vy8 vy3 vy40 vy50)",fontsize=16,color="black",shape="box"];34 -> 38[label="",style="solid", color="black", weight=3]; 11.06/4.40 35[label="error []",fontsize=16,color="red",shape="box"];36[label="Monad.liftM52 vy7 vy8 vy3 vy40 vy50 vy60",fontsize=16,color="black",shape="box"];36 -> 39[label="",style="solid", color="black", weight=3]; 11.06/4.40 37[label="AProVE_Exception vy60",fontsize=16,color="green",shape="box"];38[label="AProVE_Error vy60",fontsize=16,color="green",shape="box"];39[label="vy7 >>= Monad.liftM51 vy8 vy3 vy40 vy50 vy60",fontsize=16,color="black",shape="box"];39 -> 40[label="",style="solid", color="black", weight=3]; 11.06/4.40 40[label="primbindIO vy7 (Monad.liftM51 vy8 vy3 vy40 vy50 vy60)",fontsize=16,color="burlywood",shape="box"];80[label="vy7/IO vy70",fontsize=10,color="white",style="solid",shape="box"];40 -> 80[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 80 -> 41[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 81[label="vy7/AProVE_IO vy70",fontsize=10,color="white",style="solid",shape="box"];40 -> 81[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 81 -> 42[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 82[label="vy7/AProVE_Exception vy70",fontsize=10,color="white",style="solid",shape="box"];40 -> 82[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 82 -> 43[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 83[label="vy7/AProVE_Error vy70",fontsize=10,color="white",style="solid",shape="box"];40 -> 83[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 83 -> 44[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 41[label="primbindIO (IO vy70) (Monad.liftM51 vy8 vy3 vy40 vy50 vy60)",fontsize=16,color="black",shape="box"];41 -> 45[label="",style="solid", color="black", weight=3]; 11.06/4.40 42[label="primbindIO (AProVE_IO vy70) (Monad.liftM51 vy8 vy3 vy40 vy50 vy60)",fontsize=16,color="black",shape="box"];42 -> 46[label="",style="solid", color="black", weight=3]; 11.06/4.40 43[label="primbindIO (AProVE_Exception vy70) (Monad.liftM51 vy8 vy3 vy40 vy50 vy60)",fontsize=16,color="black",shape="box"];43 -> 47[label="",style="solid", color="black", weight=3]; 11.06/4.40 44[label="primbindIO (AProVE_Error vy70) (Monad.liftM51 vy8 vy3 vy40 vy50 vy60)",fontsize=16,color="black",shape="box"];44 -> 48[label="",style="solid", color="black", weight=3]; 11.06/4.40 45[label="error []",fontsize=16,color="red",shape="box"];46[label="Monad.liftM51 vy8 vy3 vy40 vy50 vy60 vy70",fontsize=16,color="black",shape="box"];46 -> 49[label="",style="solid", color="black", weight=3]; 11.06/4.40 47[label="AProVE_Exception vy70",fontsize=16,color="green",shape="box"];48[label="AProVE_Error vy70",fontsize=16,color="green",shape="box"];49[label="vy8 >>= Monad.liftM50 vy3 vy40 vy50 vy60 vy70",fontsize=16,color="black",shape="box"];49 -> 50[label="",style="solid", color="black", weight=3]; 11.06/4.40 50[label="primbindIO vy8 (Monad.liftM50 vy3 vy40 vy50 vy60 vy70)",fontsize=16,color="burlywood",shape="box"];84[label="vy8/IO vy80",fontsize=10,color="white",style="solid",shape="box"];50 -> 84[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 84 -> 51[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 85[label="vy8/AProVE_IO vy80",fontsize=10,color="white",style="solid",shape="box"];50 -> 85[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 85 -> 52[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 86[label="vy8/AProVE_Exception vy80",fontsize=10,color="white",style="solid",shape="box"];50 -> 86[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 86 -> 53[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 87[label="vy8/AProVE_Error vy80",fontsize=10,color="white",style="solid",shape="box"];50 -> 87[label="",style="solid", color="burlywood", weight=9]; 11.06/4.40 87 -> 54[label="",style="solid", color="burlywood", weight=3]; 11.06/4.40 51[label="primbindIO (IO vy80) (Monad.liftM50 vy3 vy40 vy50 vy60 vy70)",fontsize=16,color="black",shape="box"];51 -> 55[label="",style="solid", color="black", weight=3]; 11.06/4.40 52[label="primbindIO (AProVE_IO vy80) (Monad.liftM50 vy3 vy40 vy50 vy60 vy70)",fontsize=16,color="black",shape="box"];52 -> 56[label="",style="solid", color="black", weight=3]; 11.06/4.40 53[label="primbindIO (AProVE_Exception vy80) (Monad.liftM50 vy3 vy40 vy50 vy60 vy70)",fontsize=16,color="black",shape="box"];53 -> 57[label="",style="solid", color="black", weight=3]; 11.06/4.40 54[label="primbindIO (AProVE_Error vy80) (Monad.liftM50 vy3 vy40 vy50 vy60 vy70)",fontsize=16,color="black",shape="box"];54 -> 58[label="",style="solid", color="black", weight=3]; 11.06/4.40 55[label="error []",fontsize=16,color="red",shape="box"];56[label="Monad.liftM50 vy3 vy40 vy50 vy60 vy70 vy80",fontsize=16,color="black",shape="box"];56 -> 59[label="",style="solid", color="black", weight=3]; 11.06/4.40 57[label="AProVE_Exception vy80",fontsize=16,color="green",shape="box"];58[label="AProVE_Error vy80",fontsize=16,color="green",shape="box"];59[label="return (vy3 vy40 vy50 vy60 vy70 vy80)",fontsize=16,color="black",shape="box"];59 -> 60[label="",style="solid", color="black", weight=3]; 11.06/4.40 60[label="primretIO (vy3 vy40 vy50 vy60 vy70 vy80)",fontsize=16,color="black",shape="box"];60 -> 61[label="",style="solid", color="black", weight=3]; 11.06/4.40 61[label="AProVE_IO (vy3 vy40 vy50 vy60 vy70 vy80)",fontsize=16,color="green",shape="box"];61 -> 62[label="",style="dashed", color="green", weight=3]; 11.06/4.40 62[label="vy3 vy40 vy50 vy60 vy70 vy80",fontsize=16,color="green",shape="box"];62 -> 63[label="",style="dashed", color="green", weight=3]; 11.06/4.40 62 -> 64[label="",style="dashed", color="green", weight=3]; 11.06/4.40 62 -> 65[label="",style="dashed", color="green", weight=3]; 11.06/4.40 62 -> 66[label="",style="dashed", color="green", weight=3]; 11.06/4.40 62 -> 67[label="",style="dashed", color="green", weight=3]; 11.06/4.40 63[label="vy40",fontsize=16,color="green",shape="box"];64[label="vy50",fontsize=16,color="green",shape="box"];65[label="vy60",fontsize=16,color="green",shape="box"];66[label="vy70",fontsize=16,color="green",shape="box"];67[label="vy80",fontsize=16,color="green",shape="box"];} 11.06/4.40 11.06/4.40 ---------------------------------------- 11.06/4.40 11.06/4.40 (8) 11.06/4.40 YES 11.26/6.92 EOF