9.10/3.94 YES 10.93/4.45 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.93/4.45 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.93/4.45 10.93/4.45 10.93/4.45 H-Termination with start terms of the given HASKELL could be proven: 10.93/4.45 10.93/4.45 (0) HASKELL 10.93/4.45 (1) BR [EQUIVALENT, 0 ms] 10.93/4.45 (2) HASKELL 10.93/4.45 (3) COR [EQUIVALENT, 0 ms] 10.93/4.45 (4) HASKELL 10.93/4.45 (5) LetRed [EQUIVALENT, 0 ms] 10.93/4.45 (6) HASKELL 10.93/4.45 (7) Narrow [SOUND, 0 ms] 10.93/4.45 (8) AND 10.93/4.45 (9) QDP 10.93/4.45 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.45 (11) YES 10.93/4.45 (12) QDP 10.93/4.45 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.45 (14) YES 10.93/4.45 (15) QDP 10.93/4.45 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.45 (17) YES 10.93/4.45 (18) QDP 10.93/4.45 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.45 (20) YES 10.93/4.45 10.93/4.45 10.93/4.45 ---------------------------------------- 10.93/4.45 10.93/4.45 (0) 10.93/4.45 Obligation: 10.93/4.45 mainModule Main 10.93/4.45 module Main where { 10.93/4.45 import qualified Prelude; 10.93/4.45 } 10.93/4.45 10.93/4.45 ---------------------------------------- 10.93/4.45 10.93/4.45 (1) BR (EQUIVALENT) 10.93/4.45 Replaced joker patterns by fresh variables and removed binding patterns. 10.93/4.45 10.93/4.45 Binding Reductions: 10.93/4.45 The bind variable of the following binding Pattern 10.93/4.46 "b@(vw,vx)" 10.93/4.46 is replaced by the following term 10.93/4.46 "(vw,vx)" 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (2) 10.93/4.46 Obligation: 10.93/4.46 mainModule Main 10.93/4.46 module Main where { 10.93/4.46 import qualified Prelude; 10.93/4.46 } 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (3) COR (EQUIVALENT) 10.93/4.46 Cond Reductions: 10.93/4.46 The following Function with conditions 10.93/4.46 "index (vw,vx) ci|inRange (vw,vx) cifromEnum ci - fromEnum vw|otherwiseerror []; 10.93/4.46 " 10.93/4.46 is transformed to 10.93/4.46 "index (vw,vx) ci = index2 (vw,vx) ci; 10.93/4.46 " 10.93/4.46 "index0 vw vx ci True = error []; 10.93/4.46 " 10.93/4.46 "index1 vw vx ci True = fromEnum ci - fromEnum vw; 10.93/4.46 index1 vw vx ci False = index0 vw vx ci otherwise; 10.93/4.46 " 10.93/4.46 "index2 (vw,vx) ci = index1 vw vx ci (inRange (vw,vx) ci); 10.93/4.46 " 10.93/4.46 The following Function with conditions 10.93/4.46 "undefined |Falseundefined; 10.93/4.46 " 10.93/4.46 is transformed to 10.93/4.46 "undefined = undefined1; 10.93/4.46 " 10.93/4.46 "undefined0 True = undefined; 10.93/4.46 " 10.93/4.46 "undefined1 = undefined0 False; 10.93/4.46 " 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (4) 10.93/4.46 Obligation: 10.93/4.46 mainModule Main 10.93/4.46 module Main where { 10.93/4.46 import qualified Prelude; 10.93/4.46 } 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (5) LetRed (EQUIVALENT) 10.93/4.46 Let/Where Reductions: 10.93/4.46 The bindings of the following Let/Where expression 10.93/4.46 "fromEnum c <= i && i <= fromEnum c' where { 10.93/4.46 i = fromEnum ci; 10.93/4.46 } 10.93/4.46 " 10.93/4.46 are unpacked to the following functions on top level 10.93/4.46 "inRangeI wu = fromEnum wu; 10.93/4.46 " 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (6) 10.93/4.46 Obligation: 10.93/4.46 mainModule Main 10.93/4.46 module Main where { 10.93/4.46 import qualified Prelude; 10.93/4.46 } 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (7) Narrow (SOUND) 10.93/4.46 Haskell To QDPs 10.93/4.46 10.93/4.46 digraph dp_graph { 10.93/4.46 node [outthreshold=100, inthreshold=100];1[label="index",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 10.93/4.46 3[label="index wv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 10.93/4.46 4[label="index wv3 wv4",fontsize=16,color="burlywood",shape="triangle"];704[label="wv3/(wv30,wv31)",fontsize=10,color="white",style="solid",shape="box"];4 -> 704[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 704 -> 5[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 5[label="index (wv30,wv31) wv4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 10.93/4.46 6[label="index2 (wv30,wv31) wv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 10.93/4.46 7[label="index1 wv30 wv31 wv4 (inRange (wv30,wv31) wv4)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 10.93/4.46 8[label="index1 wv30 wv31 wv4 (fromEnum wv30 <= inRangeI wv4 && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 10.93/4.46 9[label="index1 wv30 wv31 wv4 (compare (fromEnum wv30) (inRangeI wv4) /= GT && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 10.93/4.46 10[label="index1 wv30 wv31 wv4 (not (compare (fromEnum wv30) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3]; 10.93/4.46 11[label="index1 wv30 wv31 wv4 (not (primCmpInt (fromEnum wv30) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 10.93/4.46 12[label="index1 wv30 wv31 wv4 (not (primCmpInt (primCharToInt wv30) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];705[label="wv30/Char wv300",fontsize=10,color="white",style="solid",shape="box"];12 -> 705[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 705 -> 13[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 13[label="index1 (Char wv300) wv31 wv4 (not (primCmpInt (primCharToInt (Char wv300)) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3]; 10.93/4.46 14[label="index1 (Char wv300) wv31 wv4 (not (primCmpInt (Pos wv300) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];706[label="wv300/Succ wv3000",fontsize=10,color="white",style="solid",shape="box"];14 -> 706[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 706 -> 15[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 707[label="wv300/Zero",fontsize=10,color="white",style="solid",shape="box"];14 -> 707[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 707 -> 16[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 15[label="index1 (Char (Succ wv3000)) wv31 wv4 (not (primCmpInt (Pos (Succ wv3000)) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 10.93/4.46 16[label="index1 (Char Zero) wv31 wv4 (not (primCmpInt (Pos Zero) (inRangeI wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3]; 10.93/4.46 17[label="index1 (Char (Succ wv3000)) wv31 wv4 (not (primCmpInt (Pos (Succ wv3000)) (fromEnum wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];17 -> 19[label="",style="solid", color="black", weight=3]; 10.93/4.46 18[label="index1 (Char Zero) wv31 wv4 (not (primCmpInt (Pos Zero) (fromEnum wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3]; 10.93/4.46 19[label="index1 (Char (Succ wv3000)) wv31 wv4 (not (primCmpInt (Pos (Succ wv3000)) (primCharToInt wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];708[label="wv4/Char wv40",fontsize=10,color="white",style="solid",shape="box"];19 -> 708[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 708 -> 21[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 20[label="index1 (Char Zero) wv31 wv4 (not (primCmpInt (Pos Zero) (primCharToInt wv4) == GT) && inRangeI wv4 <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];709[label="wv4/Char wv40",fontsize=10,color="white",style="solid",shape="box"];20 -> 709[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 709 -> 22[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 21[label="index1 (Char (Succ wv3000)) wv31 (Char wv40) (not (primCmpInt (Pos (Succ wv3000)) (primCharToInt (Char wv40)) == GT) && inRangeI (Char wv40) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3]; 10.93/4.46 22[label="index1 (Char Zero) wv31 (Char wv40) (not (primCmpInt (Pos Zero) (primCharToInt (Char wv40)) == GT) && inRangeI (Char wv40) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3]; 10.93/4.46 23[label="index1 (Char (Succ wv3000)) wv31 (Char wv40) (not (primCmpInt (Pos (Succ wv3000)) (Pos wv40) == GT) && inRangeI (Char wv40) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3]; 10.93/4.46 24[label="index1 (Char Zero) wv31 (Char wv40) (not (primCmpInt (Pos Zero) (Pos wv40) == GT) && inRangeI (Char wv40) <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];710[label="wv40/Succ wv400",fontsize=10,color="white",style="solid",shape="box"];24 -> 710[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 710 -> 26[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 711[label="wv40/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 711[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 711 -> 27[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 25[label="index1 (Char (Succ wv3000)) wv31 (Char wv40) (not (primCmpNat (Succ wv3000) wv40 == GT) && inRangeI (Char wv40) <= fromEnum wv31)",fontsize=16,color="burlywood",shape="box"];712[label="wv40/Succ wv400",fontsize=10,color="white",style="solid",shape="box"];25 -> 712[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 712 -> 28[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 713[label="wv40/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 713[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 713 -> 29[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 26[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (Pos Zero) (Pos (Succ wv400)) == GT) && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];26 -> 30[label="",style="solid", color="black", weight=3]; 10.93/4.46 27[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == GT) && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];27 -> 31[label="",style="solid", color="black", weight=3]; 10.93/4.46 28[label="index1 (Char (Succ wv3000)) wv31 (Char (Succ wv400)) (not (primCmpNat (Succ wv3000) (Succ wv400) == GT) && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];28 -> 32[label="",style="solid", color="black", weight=3]; 10.93/4.46 29[label="index1 (Char (Succ wv3000)) wv31 (Char Zero) (not (primCmpNat (Succ wv3000) Zero == GT) && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];29 -> 33[label="",style="solid", color="black", weight=3]; 10.93/4.46 30[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpNat Zero (Succ wv400) == GT) && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];30 -> 34[label="",style="solid", color="black", weight=3]; 10.93/4.46 31[label="index1 (Char Zero) wv31 (Char Zero) (not (EQ == GT) && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];31 -> 35[label="",style="solid", color="black", weight=3]; 10.93/4.46 32 -> 240[label="",style="dashed", color="red", weight=0]; 10.93/4.46 32[label="index1 (Char (Succ wv3000)) wv31 (Char (Succ wv400)) (not (primCmpNat wv3000 wv400 == GT) && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="magenta"];32 -> 241[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 32 -> 242[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 32 -> 243[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 32 -> 244[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 32 -> 245[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 33[label="index1 (Char (Succ wv3000)) wv31 (Char Zero) (not (GT == GT) && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];33 -> 38[label="",style="solid", color="black", weight=3]; 10.93/4.46 34[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (LT == GT) && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];34 -> 39[label="",style="solid", color="black", weight=3]; 10.93/4.46 35[label="index1 (Char Zero) wv31 (Char Zero) (not False && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];35 -> 40[label="",style="solid", color="black", weight=3]; 10.93/4.46 241[label="wv31",fontsize=16,color="green",shape="box"];242[label="wv3000",fontsize=16,color="green",shape="box"];243[label="wv400",fontsize=16,color="green",shape="box"];244[label="wv3000",fontsize=16,color="green",shape="box"];245[label="wv400",fontsize=16,color="green",shape="box"];240[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat wv25 wv26 == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="burlywood",shape="triangle"];714[label="wv25/Succ wv250",fontsize=10,color="white",style="solid",shape="box"];240 -> 714[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 714 -> 276[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 715[label="wv25/Zero",fontsize=10,color="white",style="solid",shape="box"];240 -> 715[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 715 -> 277[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 38[label="index1 (Char (Succ wv3000)) wv31 (Char Zero) (not True && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];38 -> 45[label="",style="solid", color="black", weight=3]; 10.93/4.46 39[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not False && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];39 -> 46[label="",style="solid", color="black", weight=3]; 10.93/4.46 40[label="index1 (Char Zero) wv31 (Char Zero) (True && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];40 -> 47[label="",style="solid", color="black", weight=3]; 10.93/4.46 276[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat (Succ wv250) wv26 == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="burlywood",shape="box"];716[label="wv26/Succ wv260",fontsize=10,color="white",style="solid",shape="box"];276 -> 716[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 716 -> 285[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 717[label="wv26/Zero",fontsize=10,color="white",style="solid",shape="box"];276 -> 717[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 717 -> 286[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 277[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat Zero wv26 == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="burlywood",shape="box"];718[label="wv26/Succ wv260",fontsize=10,color="white",style="solid",shape="box"];277 -> 718[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 718 -> 287[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 719[label="wv26/Zero",fontsize=10,color="white",style="solid",shape="box"];277 -> 719[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 719 -> 288[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 45[label="index1 (Char (Succ wv3000)) wv31 (Char Zero) (False && inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];45 -> 52[label="",style="solid", color="black", weight=3]; 10.93/4.46 46[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (True && inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];46 -> 53[label="",style="solid", color="black", weight=3]; 10.93/4.46 47[label="index1 (Char Zero) wv31 (Char Zero) (inRangeI (Char Zero) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];47 -> 54[label="",style="solid", color="black", weight=3]; 10.93/4.46 285[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat (Succ wv250) (Succ wv260) == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];285 -> 295[label="",style="solid", color="black", weight=3]; 10.93/4.46 286[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat (Succ wv250) Zero == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];286 -> 296[label="",style="solid", color="black", weight=3]; 10.93/4.46 287[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat Zero (Succ wv260) == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];287 -> 297[label="",style="solid", color="black", weight=3]; 10.93/4.46 288[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat Zero Zero == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];288 -> 298[label="",style="solid", color="black", weight=3]; 10.93/4.46 52[label="index1 (Char (Succ wv3000)) wv31 (Char Zero) False",fontsize=16,color="black",shape="box"];52 -> 60[label="",style="solid", color="black", weight=3]; 10.93/4.46 53[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (inRangeI (Char (Succ wv400)) <= fromEnum wv31)",fontsize=16,color="black",shape="box"];53 -> 61[label="",style="solid", color="black", weight=3]; 10.93/4.46 54[label="index1 (Char Zero) wv31 (Char Zero) (compare (inRangeI (Char Zero)) (fromEnum wv31) /= GT)",fontsize=16,color="black",shape="box"];54 -> 62[label="",style="solid", color="black", weight=3]; 10.93/4.46 295 -> 240[label="",style="dashed", color="red", weight=0]; 10.93/4.46 295[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpNat wv250 wv260 == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="magenta"];295 -> 306[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 295 -> 307[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 296[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (GT == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];296 -> 308[label="",style="solid", color="black", weight=3]; 10.93/4.46 297[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (LT == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];297 -> 309[label="",style="solid", color="black", weight=3]; 10.93/4.46 298[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (EQ == GT) && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];298 -> 310[label="",style="solid", color="black", weight=3]; 10.93/4.46 60[label="index0 (Char (Succ wv3000)) wv31 (Char Zero) otherwise",fontsize=16,color="black",shape="box"];60 -> 70[label="",style="solid", color="black", weight=3]; 10.93/4.46 61[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (compare (inRangeI (Char (Succ wv400))) (fromEnum wv31) /= GT)",fontsize=16,color="black",shape="box"];61 -> 71[label="",style="solid", color="black", weight=3]; 10.93/4.46 62[label="index1 (Char Zero) wv31 (Char Zero) (not (compare (inRangeI (Char Zero)) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];62 -> 72[label="",style="solid", color="black", weight=3]; 10.93/4.46 306[label="wv250",fontsize=16,color="green",shape="box"];307[label="wv260",fontsize=16,color="green",shape="box"];308[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not True && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];308 -> 320[label="",style="solid", color="black", weight=3]; 10.93/4.46 309[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not False && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="triangle"];309 -> 321[label="",style="solid", color="black", weight=3]; 10.93/4.46 310 -> 309[label="",style="dashed", color="red", weight=0]; 10.93/4.46 310[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not False && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="magenta"];70[label="index0 (Char (Succ wv3000)) wv31 (Char Zero) True",fontsize=16,color="black",shape="box"];70 -> 80[label="",style="solid", color="black", weight=3]; 10.93/4.46 71[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (compare (inRangeI (Char (Succ wv400))) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];71 -> 81[label="",style="solid", color="black", weight=3]; 10.93/4.46 72[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (inRangeI (Char Zero)) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];72 -> 82[label="",style="solid", color="black", weight=3]; 10.93/4.46 320[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (False && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];320 -> 330[label="",style="solid", color="black", weight=3]; 10.93/4.46 321[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (True && inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];321 -> 331[label="",style="solid", color="black", weight=3]; 10.93/4.46 80[label="error []",fontsize=16,color="black",shape="triangle"];80 -> 91[label="",style="solid", color="black", weight=3]; 10.93/4.46 81[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (inRangeI (Char (Succ wv400))) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];81 -> 92[label="",style="solid", color="black", weight=3]; 10.93/4.46 82[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (fromEnum (Char Zero)) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];82 -> 93[label="",style="solid", color="black", weight=3]; 10.93/4.46 330[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) False",fontsize=16,color="black",shape="triangle"];330 -> 340[label="",style="solid", color="black", weight=3]; 10.93/4.46 331[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (inRangeI (Char (Succ wv24)) <= fromEnum wv23)",fontsize=16,color="black",shape="box"];331 -> 341[label="",style="solid", color="black", weight=3]; 10.93/4.46 91[label="error []",fontsize=16,color="red",shape="box"];92[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (fromEnum (Char (Succ wv400))) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];92 -> 104[label="",style="solid", color="black", weight=3]; 10.93/4.46 93[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (primCharToInt (Char Zero)) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];93 -> 105[label="",style="solid", color="black", weight=3]; 10.93/4.46 340[label="index0 (Char (Succ wv22)) wv23 (Char (Succ wv24)) otherwise",fontsize=16,color="black",shape="box"];340 -> 352[label="",style="solid", color="black", weight=3]; 10.93/4.46 341[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (compare (inRangeI (Char (Succ wv24))) (fromEnum wv23) /= GT)",fontsize=16,color="black",shape="box"];341 -> 353[label="",style="solid", color="black", weight=3]; 10.93/4.46 104[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (primCharToInt (Char (Succ wv400))) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];104 -> 116[label="",style="solid", color="black", weight=3]; 10.93/4.46 105[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (Pos Zero) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];105 -> 117[label="",style="solid", color="black", weight=3]; 10.93/4.46 352[label="index0 (Char (Succ wv22)) wv23 (Char (Succ wv24)) True",fontsize=16,color="black",shape="box"];352 -> 362[label="",style="solid", color="black", weight=3]; 10.93/4.46 353[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (compare (inRangeI (Char (Succ wv24))) (fromEnum wv23) == GT))",fontsize=16,color="black",shape="box"];353 -> 363[label="",style="solid", color="black", weight=3]; 10.93/4.46 116[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (Pos (Succ wv400)) (fromEnum wv31) == GT))",fontsize=16,color="black",shape="box"];116 -> 128[label="",style="solid", color="black", weight=3]; 10.93/4.46 117[label="index1 (Char Zero) wv31 (Char Zero) (not (primCmpInt (Pos Zero) (primCharToInt wv31) == GT))",fontsize=16,color="burlywood",shape="box"];720[label="wv31/Char wv310",fontsize=10,color="white",style="solid",shape="box"];117 -> 720[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 720 -> 129[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 362 -> 80[label="",style="dashed", color="red", weight=0]; 10.93/4.46 362[label="error []",fontsize=16,color="magenta"];363[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpInt (inRangeI (Char (Succ wv24))) (fromEnum wv23) == GT))",fontsize=16,color="black",shape="box"];363 -> 372[label="",style="solid", color="black", weight=3]; 10.93/4.46 128[label="index1 (Char Zero) wv31 (Char (Succ wv400)) (not (primCmpInt (Pos (Succ wv400)) (primCharToInt wv31) == GT))",fontsize=16,color="burlywood",shape="box"];721[label="wv31/Char wv310",fontsize=10,color="white",style="solid",shape="box"];128 -> 721[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 721 -> 142[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 129[label="index1 (Char Zero) (Char wv310) (Char Zero) (not (primCmpInt (Pos Zero) (primCharToInt (Char wv310)) == GT))",fontsize=16,color="black",shape="box"];129 -> 143[label="",style="solid", color="black", weight=3]; 10.93/4.46 372[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpInt (fromEnum (Char (Succ wv24))) (fromEnum wv23) == GT))",fontsize=16,color="black",shape="box"];372 -> 383[label="",style="solid", color="black", weight=3]; 10.93/4.46 142[label="index1 (Char Zero) (Char wv310) (Char (Succ wv400)) (not (primCmpInt (Pos (Succ wv400)) (primCharToInt (Char wv310)) == GT))",fontsize=16,color="black",shape="box"];142 -> 156[label="",style="solid", color="black", weight=3]; 10.93/4.46 143[label="index1 (Char Zero) (Char wv310) (Char Zero) (not (primCmpInt (Pos Zero) (Pos wv310) == GT))",fontsize=16,color="burlywood",shape="box"];722[label="wv310/Succ wv3100",fontsize=10,color="white",style="solid",shape="box"];143 -> 722[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 722 -> 157[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 723[label="wv310/Zero",fontsize=10,color="white",style="solid",shape="box"];143 -> 723[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 723 -> 158[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 383[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpInt (primCharToInt (Char (Succ wv24))) (fromEnum wv23) == GT))",fontsize=16,color="black",shape="box"];383 -> 393[label="",style="solid", color="black", weight=3]; 10.93/4.46 156[label="index1 (Char Zero) (Char wv310) (Char (Succ wv400)) (not (primCmpInt (Pos (Succ wv400)) (Pos wv310) == GT))",fontsize=16,color="black",shape="box"];156 -> 171[label="",style="solid", color="black", weight=3]; 10.93/4.46 157[label="index1 (Char Zero) (Char (Succ wv3100)) (Char Zero) (not (primCmpInt (Pos Zero) (Pos (Succ wv3100)) == GT))",fontsize=16,color="black",shape="box"];157 -> 172[label="",style="solid", color="black", weight=3]; 10.93/4.46 158[label="index1 (Char Zero) (Char Zero) (Char Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];158 -> 173[label="",style="solid", color="black", weight=3]; 10.93/4.46 393[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpInt (Pos (Succ wv24)) (fromEnum wv23) == GT))",fontsize=16,color="black",shape="box"];393 -> 403[label="",style="solid", color="black", weight=3]; 10.93/4.46 171[label="index1 (Char Zero) (Char wv310) (Char (Succ wv400)) (not (primCmpNat (Succ wv400) wv310 == GT))",fontsize=16,color="burlywood",shape="box"];724[label="wv310/Succ wv3100",fontsize=10,color="white",style="solid",shape="box"];171 -> 724[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 724 -> 188[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 725[label="wv310/Zero",fontsize=10,color="white",style="solid",shape="box"];171 -> 725[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 725 -> 189[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 172[label="index1 (Char Zero) (Char (Succ wv3100)) (Char Zero) (not (primCmpNat Zero (Succ wv3100) == GT))",fontsize=16,color="black",shape="box"];172 -> 190[label="",style="solid", color="black", weight=3]; 10.93/4.46 173[label="index1 (Char Zero) (Char Zero) (Char Zero) (not (EQ == GT))",fontsize=16,color="black",shape="box"];173 -> 191[label="",style="solid", color="black", weight=3]; 10.93/4.46 403[label="index1 (Char (Succ wv22)) wv23 (Char (Succ wv24)) (not (primCmpInt (Pos (Succ wv24)) (primCharToInt wv23) == GT))",fontsize=16,color="burlywood",shape="box"];726[label="wv23/Char wv230",fontsize=10,color="white",style="solid",shape="box"];403 -> 726[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 726 -> 414[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 188[label="index1 (Char Zero) (Char (Succ wv3100)) (Char (Succ wv400)) (not (primCmpNat (Succ wv400) (Succ wv3100) == GT))",fontsize=16,color="black",shape="box"];188 -> 206[label="",style="solid", color="black", weight=3]; 10.93/4.46 189[label="index1 (Char Zero) (Char Zero) (Char (Succ wv400)) (not (primCmpNat (Succ wv400) Zero == GT))",fontsize=16,color="black",shape="box"];189 -> 207[label="",style="solid", color="black", weight=3]; 10.93/4.46 190[label="index1 (Char Zero) (Char (Succ wv3100)) (Char Zero) (not (LT == GT))",fontsize=16,color="black",shape="box"];190 -> 208[label="",style="solid", color="black", weight=3]; 10.93/4.46 191[label="index1 (Char Zero) (Char Zero) (Char Zero) (not False)",fontsize=16,color="black",shape="box"];191 -> 209[label="",style="solid", color="black", weight=3]; 10.93/4.46 414[label="index1 (Char (Succ wv22)) (Char wv230) (Char (Succ wv24)) (not (primCmpInt (Pos (Succ wv24)) (primCharToInt (Char wv230)) == GT))",fontsize=16,color="black",shape="box"];414 -> 424[label="",style="solid", color="black", weight=3]; 10.93/4.46 206 -> 443[label="",style="dashed", color="red", weight=0]; 10.93/4.46 206[label="index1 (Char Zero) (Char (Succ wv3100)) (Char (Succ wv400)) (not (primCmpNat wv400 wv3100 == GT))",fontsize=16,color="magenta"];206 -> 444[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 206 -> 445[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 206 -> 446[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 206 -> 447[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 207[label="index1 (Char Zero) (Char Zero) (Char (Succ wv400)) (not (GT == GT))",fontsize=16,color="black",shape="box"];207 -> 237[label="",style="solid", color="black", weight=3]; 10.93/4.46 208[label="index1 (Char Zero) (Char (Succ wv3100)) (Char Zero) (not False)",fontsize=16,color="black",shape="box"];208 -> 238[label="",style="solid", color="black", weight=3]; 10.93/4.46 209[label="index1 (Char Zero) (Char Zero) (Char Zero) True",fontsize=16,color="black",shape="box"];209 -> 239[label="",style="solid", color="black", weight=3]; 10.93/4.46 424[label="index1 (Char (Succ wv22)) (Char wv230) (Char (Succ wv24)) (not (primCmpInt (Pos (Succ wv24)) (Pos wv230) == GT))",fontsize=16,color="black",shape="box"];424 -> 429[label="",style="solid", color="black", weight=3]; 10.93/4.46 444[label="wv400",fontsize=16,color="green",shape="box"];445[label="wv3100",fontsize=16,color="green",shape="box"];446[label="wv400",fontsize=16,color="green",shape="box"];447[label="wv3100",fontsize=16,color="green",shape="box"];443[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat wv38 wv39 == GT))",fontsize=16,color="burlywood",shape="triangle"];727[label="wv38/Succ wv380",fontsize=10,color="white",style="solid",shape="box"];443 -> 727[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 727 -> 472[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 728[label="wv38/Zero",fontsize=10,color="white",style="solid",shape="box"];443 -> 728[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 728 -> 473[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 237[label="index1 (Char Zero) (Char Zero) (Char (Succ wv400)) (not True)",fontsize=16,color="black",shape="box"];237 -> 282[label="",style="solid", color="black", weight=3]; 10.93/4.46 238[label="index1 (Char Zero) (Char (Succ wv3100)) (Char Zero) True",fontsize=16,color="black",shape="box"];238 -> 283[label="",style="solid", color="black", weight=3]; 10.93/4.46 239[label="fromEnum (Char Zero) - fromEnum (Char Zero)",fontsize=16,color="black",shape="triangle"];239 -> 284[label="",style="solid", color="black", weight=3]; 10.93/4.46 429[label="index1 (Char (Succ wv22)) (Char wv230) (Char (Succ wv24)) (not (primCmpNat (Succ wv24) wv230 == GT))",fontsize=16,color="burlywood",shape="box"];729[label="wv230/Succ wv2300",fontsize=10,color="white",style="solid",shape="box"];429 -> 729[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 729 -> 432[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 730[label="wv230/Zero",fontsize=10,color="white",style="solid",shape="box"];429 -> 730[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 730 -> 433[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 472[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat (Succ wv380) wv39 == GT))",fontsize=16,color="burlywood",shape="box"];731[label="wv39/Succ wv390",fontsize=10,color="white",style="solid",shape="box"];472 -> 731[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 731 -> 477[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 732[label="wv39/Zero",fontsize=10,color="white",style="solid",shape="box"];472 -> 732[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 732 -> 478[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 473[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat Zero wv39 == GT))",fontsize=16,color="burlywood",shape="box"];733[label="wv39/Succ wv390",fontsize=10,color="white",style="solid",shape="box"];473 -> 733[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 733 -> 479[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 734[label="wv39/Zero",fontsize=10,color="white",style="solid",shape="box"];473 -> 734[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 734 -> 480[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 282[label="index1 (Char Zero) (Char Zero) (Char (Succ wv400)) False",fontsize=16,color="black",shape="box"];282 -> 293[label="",style="solid", color="black", weight=3]; 10.93/4.46 283 -> 239[label="",style="dashed", color="red", weight=0]; 10.93/4.46 283[label="fromEnum (Char Zero) - fromEnum (Char Zero)",fontsize=16,color="magenta"];284[label="primMinusInt (fromEnum (Char Zero)) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];284 -> 294[label="",style="solid", color="black", weight=3]; 10.93/4.46 432[label="index1 (Char (Succ wv22)) (Char (Succ wv2300)) (Char (Succ wv24)) (not (primCmpNat (Succ wv24) (Succ wv2300) == GT))",fontsize=16,color="black",shape="box"];432 -> 436[label="",style="solid", color="black", weight=3]; 10.93/4.46 433[label="index1 (Char (Succ wv22)) (Char Zero) (Char (Succ wv24)) (not (primCmpNat (Succ wv24) Zero == GT))",fontsize=16,color="black",shape="box"];433 -> 437[label="",style="solid", color="black", weight=3]; 10.93/4.46 477[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat (Succ wv380) (Succ wv390) == GT))",fontsize=16,color="black",shape="box"];477 -> 486[label="",style="solid", color="black", weight=3]; 10.93/4.46 478[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat (Succ wv380) Zero == GT))",fontsize=16,color="black",shape="box"];478 -> 487[label="",style="solid", color="black", weight=3]; 10.93/4.46 479[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat Zero (Succ wv390) == GT))",fontsize=16,color="black",shape="box"];479 -> 488[label="",style="solid", color="black", weight=3]; 10.93/4.46 480[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat Zero Zero == GT))",fontsize=16,color="black",shape="box"];480 -> 489[label="",style="solid", color="black", weight=3]; 10.93/4.46 293[label="index0 (Char Zero) (Char Zero) (Char (Succ wv400)) otherwise",fontsize=16,color="black",shape="box"];293 -> 304[label="",style="solid", color="black", weight=3]; 10.93/4.46 294[label="primMinusInt (primCharToInt (Char Zero)) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];294 -> 305[label="",style="solid", color="black", weight=3]; 10.93/4.46 436 -> 628[label="",style="dashed", color="red", weight=0]; 10.93/4.46 436[label="index1 (Char (Succ wv22)) (Char (Succ wv2300)) (Char (Succ wv24)) (not (primCmpNat wv24 wv2300 == GT))",fontsize=16,color="magenta"];436 -> 629[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 436 -> 630[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 436 -> 631[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 436 -> 632[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 436 -> 633[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 437[label="index1 (Char (Succ wv22)) (Char Zero) (Char (Succ wv24)) (not (GT == GT))",fontsize=16,color="black",shape="box"];437 -> 476[label="",style="solid", color="black", weight=3]; 10.93/4.46 486 -> 443[label="",style="dashed", color="red", weight=0]; 10.93/4.46 486[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (primCmpNat wv380 wv390 == GT))",fontsize=16,color="magenta"];486 -> 495[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 486 -> 496[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 487[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (GT == GT))",fontsize=16,color="black",shape="box"];487 -> 497[label="",style="solid", color="black", weight=3]; 10.93/4.46 488[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (LT == GT))",fontsize=16,color="black",shape="box"];488 -> 498[label="",style="solid", color="black", weight=3]; 10.93/4.46 489[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not (EQ == GT))",fontsize=16,color="black",shape="box"];489 -> 499[label="",style="solid", color="black", weight=3]; 10.93/4.46 304[label="index0 (Char Zero) (Char Zero) (Char (Succ wv400)) True",fontsize=16,color="black",shape="box"];304 -> 318[label="",style="solid", color="black", weight=3]; 10.93/4.46 305[label="primMinusInt (Pos Zero) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];305 -> 319[label="",style="solid", color="black", weight=3]; 10.93/4.46 629[label="wv2300",fontsize=16,color="green",shape="box"];630[label="wv22",fontsize=16,color="green",shape="box"];631[label="wv24",fontsize=16,color="green",shape="box"];632[label="wv24",fontsize=16,color="green",shape="box"];633[label="wv2300",fontsize=16,color="green",shape="box"];628[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat wv55 wv56 == GT))",fontsize=16,color="burlywood",shape="triangle"];735[label="wv55/Succ wv550",fontsize=10,color="white",style="solid",shape="box"];628 -> 735[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 735 -> 664[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 736[label="wv55/Zero",fontsize=10,color="white",style="solid",shape="box"];628 -> 736[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 736 -> 665[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 476[label="index1 (Char (Succ wv22)) (Char Zero) (Char (Succ wv24)) (not True)",fontsize=16,color="black",shape="box"];476 -> 485[label="",style="solid", color="black", weight=3]; 10.93/4.46 495[label="wv380",fontsize=16,color="green",shape="box"];496[label="wv390",fontsize=16,color="green",shape="box"];497[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not True)",fontsize=16,color="black",shape="box"];497 -> 505[label="",style="solid", color="black", weight=3]; 10.93/4.46 498[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not False)",fontsize=16,color="black",shape="triangle"];498 -> 506[label="",style="solid", color="black", weight=3]; 10.93/4.46 499 -> 498[label="",style="dashed", color="red", weight=0]; 10.93/4.46 499[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) (not False)",fontsize=16,color="magenta"];318 -> 80[label="",style="dashed", color="red", weight=0]; 10.93/4.46 318[label="error []",fontsize=16,color="magenta"];319[label="primMinusInt (Pos Zero) (primCharToInt (Char Zero))",fontsize=16,color="black",shape="box"];319 -> 329[label="",style="solid", color="black", weight=3]; 10.93/4.46 664[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat (Succ wv550) wv56 == GT))",fontsize=16,color="burlywood",shape="box"];737[label="wv56/Succ wv560",fontsize=10,color="white",style="solid",shape="box"];664 -> 737[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 737 -> 666[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 738[label="wv56/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 738[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 738 -> 667[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 665[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat Zero wv56 == GT))",fontsize=16,color="burlywood",shape="box"];739[label="wv56/Succ wv560",fontsize=10,color="white",style="solid",shape="box"];665 -> 739[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 739 -> 668[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 740[label="wv56/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 740[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 740 -> 669[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 485 -> 330[label="",style="dashed", color="red", weight=0]; 10.93/4.46 485[label="index1 (Char (Succ wv22)) (Char Zero) (Char (Succ wv24)) False",fontsize=16,color="magenta"];485 -> 494[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 505[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) False",fontsize=16,color="black",shape="box"];505 -> 514[label="",style="solid", color="black", weight=3]; 10.93/4.46 506[label="index1 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) True",fontsize=16,color="black",shape="box"];506 -> 515[label="",style="solid", color="black", weight=3]; 10.93/4.46 329[label="primMinusInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];329 -> 339[label="",style="solid", color="black", weight=3]; 10.93/4.46 666[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat (Succ wv550) (Succ wv560) == GT))",fontsize=16,color="black",shape="box"];666 -> 670[label="",style="solid", color="black", weight=3]; 10.93/4.46 667[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat (Succ wv550) Zero == GT))",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3]; 10.93/4.46 668[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat Zero (Succ wv560) == GT))",fontsize=16,color="black",shape="box"];668 -> 672[label="",style="solid", color="black", weight=3]; 10.93/4.46 669[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat Zero Zero == GT))",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3]; 10.93/4.46 494[label="Char Zero",fontsize=16,color="green",shape="box"];514[label="index0 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) otherwise",fontsize=16,color="black",shape="box"];514 -> 524[label="",style="solid", color="black", weight=3]; 10.93/4.46 515[label="fromEnum (Char (Succ wv37)) - fromEnum (Char Zero)",fontsize=16,color="black",shape="box"];515 -> 525[label="",style="solid", color="black", weight=3]; 10.93/4.46 339[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];339 -> 351[label="",style="solid", color="black", weight=3]; 10.93/4.46 670 -> 628[label="",style="dashed", color="red", weight=0]; 10.93/4.46 670[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (primCmpNat wv550 wv560 == GT))",fontsize=16,color="magenta"];670 -> 674[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 670 -> 675[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 671[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (GT == GT))",fontsize=16,color="black",shape="box"];671 -> 676[label="",style="solid", color="black", weight=3]; 10.93/4.46 672[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (LT == GT))",fontsize=16,color="black",shape="box"];672 -> 677[label="",style="solid", color="black", weight=3]; 10.93/4.46 673[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not (EQ == GT))",fontsize=16,color="black",shape="box"];673 -> 678[label="",style="solid", color="black", weight=3]; 10.93/4.46 524[label="index0 (Char Zero) (Char (Succ wv36)) (Char (Succ wv37)) True",fontsize=16,color="black",shape="box"];524 -> 532[label="",style="solid", color="black", weight=3]; 10.93/4.46 525[label="primMinusInt (fromEnum (Char (Succ wv37))) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];525 -> 533[label="",style="solid", color="black", weight=3]; 10.93/4.46 351[label="Pos Zero",fontsize=16,color="green",shape="box"];674[label="wv560",fontsize=16,color="green",shape="box"];675[label="wv550",fontsize=16,color="green",shape="box"];676[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not True)",fontsize=16,color="black",shape="box"];676 -> 679[label="",style="solid", color="black", weight=3]; 10.93/4.46 677[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not False)",fontsize=16,color="black",shape="triangle"];677 -> 680[label="",style="solid", color="black", weight=3]; 10.93/4.46 678 -> 677[label="",style="dashed", color="red", weight=0]; 10.93/4.46 678[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) (not False)",fontsize=16,color="magenta"];532 -> 80[label="",style="dashed", color="red", weight=0]; 10.93/4.46 532[label="error []",fontsize=16,color="magenta"];533[label="primMinusInt (primCharToInt (Char (Succ wv37))) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];533 -> 542[label="",style="solid", color="black", weight=3]; 10.93/4.46 679 -> 330[label="",style="dashed", color="red", weight=0]; 10.93/4.46 679[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) False",fontsize=16,color="magenta"];679 -> 681[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 679 -> 682[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 679 -> 683[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 680[label="index1 (Char (Succ wv52)) (Char (Succ wv53)) (Char (Succ wv54)) True",fontsize=16,color="black",shape="box"];680 -> 684[label="",style="solid", color="black", weight=3]; 10.93/4.46 542[label="primMinusInt (Pos (Succ wv37)) (fromEnum (Char Zero))",fontsize=16,color="black",shape="box"];542 -> 552[label="",style="solid", color="black", weight=3]; 10.93/4.46 681[label="Char (Succ wv53)",fontsize=16,color="green",shape="box"];682[label="wv52",fontsize=16,color="green",shape="box"];683[label="wv54",fontsize=16,color="green",shape="box"];684[label="fromEnum (Char (Succ wv54)) - fromEnum (Char (Succ wv52))",fontsize=16,color="black",shape="box"];684 -> 685[label="",style="solid", color="black", weight=3]; 10.93/4.46 552[label="primMinusInt (Pos (Succ wv37)) (primCharToInt (Char Zero))",fontsize=16,color="black",shape="box"];552 -> 560[label="",style="solid", color="black", weight=3]; 10.93/4.46 685[label="primMinusInt (fromEnum (Char (Succ wv54))) (fromEnum (Char (Succ wv52)))",fontsize=16,color="black",shape="box"];685 -> 686[label="",style="solid", color="black", weight=3]; 10.93/4.46 560[label="primMinusInt (Pos (Succ wv37)) (Pos Zero)",fontsize=16,color="black",shape="box"];560 -> 570[label="",style="solid", color="black", weight=3]; 10.93/4.46 686[label="primMinusInt (primCharToInt (Char (Succ wv54))) (fromEnum (Char (Succ wv52)))",fontsize=16,color="black",shape="box"];686 -> 687[label="",style="solid", color="black", weight=3]; 10.93/4.46 570[label="primMinusNat (Succ wv37) Zero",fontsize=16,color="black",shape="box"];570 -> 581[label="",style="solid", color="black", weight=3]; 10.93/4.46 687[label="primMinusInt (Pos (Succ wv54)) (fromEnum (Char (Succ wv52)))",fontsize=16,color="black",shape="box"];687 -> 688[label="",style="solid", color="black", weight=3]; 10.93/4.46 581[label="Pos (Succ wv37)",fontsize=16,color="green",shape="box"];688[label="primMinusInt (Pos (Succ wv54)) (primCharToInt (Char (Succ wv52)))",fontsize=16,color="black",shape="box"];688 -> 689[label="",style="solid", color="black", weight=3]; 10.93/4.46 689[label="primMinusInt (Pos (Succ wv54)) (Pos (Succ wv52))",fontsize=16,color="black",shape="box"];689 -> 690[label="",style="solid", color="black", weight=3]; 10.93/4.46 690[label="primMinusNat (Succ wv54) (Succ wv52)",fontsize=16,color="black",shape="box"];690 -> 691[label="",style="solid", color="black", weight=3]; 10.93/4.46 691[label="primMinusNat wv54 wv52",fontsize=16,color="burlywood",shape="triangle"];741[label="wv54/Succ wv540",fontsize=10,color="white",style="solid",shape="box"];691 -> 741[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 741 -> 692[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 742[label="wv54/Zero",fontsize=10,color="white",style="solid",shape="box"];691 -> 742[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 742 -> 693[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 692[label="primMinusNat (Succ wv540) wv52",fontsize=16,color="burlywood",shape="box"];743[label="wv52/Succ wv520",fontsize=10,color="white",style="solid",shape="box"];692 -> 743[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 743 -> 694[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 744[label="wv52/Zero",fontsize=10,color="white",style="solid",shape="box"];692 -> 744[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 744 -> 695[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 693[label="primMinusNat Zero wv52",fontsize=16,color="burlywood",shape="box"];745[label="wv52/Succ wv520",fontsize=10,color="white",style="solid",shape="box"];693 -> 745[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 745 -> 696[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 746[label="wv52/Zero",fontsize=10,color="white",style="solid",shape="box"];693 -> 746[label="",style="solid", color="burlywood", weight=9]; 10.93/4.46 746 -> 697[label="",style="solid", color="burlywood", weight=3]; 10.93/4.46 694[label="primMinusNat (Succ wv540) (Succ wv520)",fontsize=16,color="black",shape="box"];694 -> 698[label="",style="solid", color="black", weight=3]; 10.93/4.46 695[label="primMinusNat (Succ wv540) Zero",fontsize=16,color="black",shape="box"];695 -> 699[label="",style="solid", color="black", weight=3]; 10.93/4.46 696[label="primMinusNat Zero (Succ wv520)",fontsize=16,color="black",shape="box"];696 -> 700[label="",style="solid", color="black", weight=3]; 10.93/4.46 697[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];697 -> 701[label="",style="solid", color="black", weight=3]; 10.93/4.46 698 -> 691[label="",style="dashed", color="red", weight=0]; 10.93/4.46 698[label="primMinusNat wv540 wv520",fontsize=16,color="magenta"];698 -> 702[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 698 -> 703[label="",style="dashed", color="magenta", weight=3]; 10.93/4.46 699[label="Pos (Succ wv540)",fontsize=16,color="green",shape="box"];700[label="Neg (Succ wv520)",fontsize=16,color="green",shape="box"];701[label="Pos Zero",fontsize=16,color="green",shape="box"];702[label="wv520",fontsize=16,color="green",shape="box"];703[label="wv540",fontsize=16,color="green",shape="box"];} 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (8) 10.93/4.46 Complex Obligation (AND) 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (9) 10.93/4.46 Obligation: 10.93/4.46 Q DP problem: 10.93/4.46 The TRS P consists of the following rules: 10.93/4.46 10.93/4.46 new_index10(wv52, wv53, wv54, Succ(wv550), Succ(wv560)) -> new_index10(wv52, wv53, wv54, wv550, wv560) 10.93/4.46 10.93/4.46 R is empty. 10.93/4.46 Q is empty. 10.93/4.46 We have to consider all minimal (P,Q,R)-chains. 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (10) QDPSizeChangeProof (EQUIVALENT) 10.93/4.46 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.93/4.46 10.93/4.46 From the DPs we obtained the following set of size-change graphs: 10.93/4.46 *new_index10(wv52, wv53, wv54, Succ(wv550), Succ(wv560)) -> new_index10(wv52, wv53, wv54, wv550, wv560) 10.93/4.46 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5 10.93/4.46 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (11) 10.93/4.46 YES 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (12) 10.93/4.46 Obligation: 10.93/4.46 Q DP problem: 10.93/4.46 The TRS P consists of the following rules: 10.93/4.46 10.93/4.46 new_index11(wv22, wv23, wv24, Succ(wv250), Succ(wv260)) -> new_index11(wv22, wv23, wv24, wv250, wv260) 10.93/4.46 10.93/4.46 R is empty. 10.93/4.46 Q is empty. 10.93/4.46 We have to consider all minimal (P,Q,R)-chains. 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (13) QDPSizeChangeProof (EQUIVALENT) 10.93/4.46 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.93/4.46 10.93/4.46 From the DPs we obtained the following set of size-change graphs: 10.93/4.46 *new_index11(wv22, wv23, wv24, Succ(wv250), Succ(wv260)) -> new_index11(wv22, wv23, wv24, wv250, wv260) 10.93/4.46 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5 10.93/4.46 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (14) 10.93/4.46 YES 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (15) 10.93/4.46 Obligation: 10.93/4.46 Q DP problem: 10.93/4.46 The TRS P consists of the following rules: 10.93/4.46 10.93/4.46 new_primMinusNat(Succ(wv540), Succ(wv520)) -> new_primMinusNat(wv540, wv520) 10.93/4.46 10.93/4.46 R is empty. 10.93/4.46 Q is empty. 10.93/4.46 We have to consider all minimal (P,Q,R)-chains. 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (16) QDPSizeChangeProof (EQUIVALENT) 10.93/4.46 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.93/4.46 10.93/4.46 From the DPs we obtained the following set of size-change graphs: 10.93/4.46 *new_primMinusNat(Succ(wv540), Succ(wv520)) -> new_primMinusNat(wv540, wv520) 10.93/4.46 The graph contains the following edges 1 > 1, 2 > 2 10.93/4.46 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (17) 10.93/4.46 YES 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (18) 10.93/4.46 Obligation: 10.93/4.46 Q DP problem: 10.93/4.46 The TRS P consists of the following rules: 10.93/4.46 10.93/4.46 new_index1(wv36, wv37, Succ(wv380), Succ(wv390)) -> new_index1(wv36, wv37, wv380, wv390) 10.93/4.46 10.93/4.46 R is empty. 10.93/4.46 Q is empty. 10.93/4.46 We have to consider all minimal (P,Q,R)-chains. 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (19) QDPSizeChangeProof (EQUIVALENT) 10.93/4.46 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.93/4.46 10.93/4.46 From the DPs we obtained the following set of size-change graphs: 10.93/4.46 *new_index1(wv36, wv37, Succ(wv380), Succ(wv390)) -> new_index1(wv36, wv37, wv380, wv390) 10.93/4.46 The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4 10.93/4.46 10.93/4.46 10.93/4.46 ---------------------------------------- 10.93/4.46 10.93/4.46 (20) 10.93/4.46 YES 10.93/4.50 EOF