TSTP Solution File: SWV939-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV939-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 17:08:15 EDT 2024

% Result   : Unsatisfiable 3.31s 0.88s
% Output   : Refutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  998
% Syntax   : Number of formulae    : 1630 ( 655 unt;   0 def)
%            Number of atoms       : 3850 (1306 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 3592 (1372   ~;1698   |;   0   &)
%                                         ( 522 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :   10 (   1 avg)
%            Number of predicates  :  545 ( 543 usr; 523 prp; 0-8 aty)
%            Number of functors    :   88 (  88 usr;  30 con; 0-8 aty)
%            Number of variables   : 5682 (5682   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9260,plain,
    $false,
    inference(avatar_sat_refutation,[],[f693,f698,f703,f708,f713,f717,f722,f727,f732,f737,f742,f746,f750,f754,f758,f762,f766,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f810,f814,f818,f822,f826,f830,f834,f838,f842,f846,f850,f858,f862,f866,f870,f874,f878,f882,f886,f890,f894,f898,f902,f906,f910,f914,f918,f922,f926,f930,f934,f938,f942,f954,f958,f962,f966,f970,f974,f978,f982,f986,f990,f994,f998,f1002,f1006,f1010,f1014,f1018,f1022,f1026,f1030,f1034,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1079,f1083,f1118,f1122,f1126,f1130,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1166,f1171,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1223,f1227,f1231,f1235,f1239,f1243,f1247,f1251,f1255,f1259,f1263,f1267,f1271,f1275,f1279,f1283,f1287,f1291,f1295,f1299,f1304,f1308,f1334,f1338,f1342,f1346,f1350,f1354,f1358,f1362,f1366,f1370,f1374,f1378,f1382,f1386,f1390,f1394,f1398,f1402,f1406,f1410,f1414,f1418,f1422,f1426,f1430,f1434,f1438,f1447,f1451,f1455,f1459,f1463,f1467,f1471,f1484,f1513,f1517,f1521,f1525,f1529,f1533,f1537,f1541,f1545,f1549,f1553,f1557,f1561,f1565,f1569,f1573,f1577,f1581,f1585,f1589,f1593,f1597,f1601,f1609,f1613,f1617,f1621,f1625,f1629,f1633,f1656,f1670,f1674,f1678,f1682,f1686,f1690,f1694,f1698,f1702,f1706,f1710,f1714,f1718,f1722,f1726,f1730,f1734,f1748,f1752,f1756,f1760,f1764,f1771,f1775,f1779,f1783,f1787,f1791,f1795,f1799,f1803,f1807,f1811,f1815,f1820,f1825,f1829,f1833,f1837,f1841,f1846,f1855,f1867,f1881,f1886,f1890,f1894,f1898,f1902,f1906,f1910,f1914,f1918,f1938,f1942,f1946,f1950,f1968,f2025,f2030,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2068,f2072,f2076,f2080,f2084,f2088,f2092,f2111,f2123,f2166,f2170,f2174,f2178,f2182,f2186,f2190,f2194,f2198,f2202,f2206,f2210,f2243,f2262,f2266,f2270,f2274,f2278,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2320,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2465,f2469,f2473,f2477,f2481,f2489,f2493,f2497,f2501,f2505,f2509,f2513,f2529,f2556,f2563,f2567,f2571,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2657,f2662,f2666,f2670,f2674,f2678,f2682,f2686,f2691,f2714,f2718,f2722,f2726,f2730,f2734,f2740,f2781,f2785,f2789,f2794,f2798,f2802,f2806,f2810,f2814,f2818,f2822,f2827,f2831,f2894,f2908,f2912,f2916,f2920,f2924,f2928,f2932,f2937,f2942,f3055,f3059,f3063,f3067,f3071,f3075,f3079,f3083,f3087,f3140,f3182,f3186,f3190,f3194,f3198,f3257,f3261,f3265,f3269,f3273,f3554,f3558,f3564,f3568,f3572,f3652,f3656,f3660,f3664,f3668,f3672,f3676,f3686,f3690,f3694,f3698,f3702,f3706,f3710,f3714,f5103,f5107,f5111,f5115,f5119,f5123,f5127,f5131,f5135,f5139,f5143,f5147,f5151,f5155,f5159,f5163,f5167,f5918,f5922,f5926,f5930,f5934,f5938,f5942,f5946,f5950,f5954,f5958,f5962,f5966,f5970,f5974,f5978,f5984,f6406,f6480,f6484,f6488,f6492,f6496,f6500,f6504,f6508,f6512,f6516,f6520,f6524,f6528,f6532,f6542,f6546,f6550,f6554,f6558,f6562,f6802,f8222,f8226,f8230,f8234,f8238,f8242,f8247,f8251,f8255,f8259,f8263,f8267,f8271,f8308,f8412,f8416,f8421,f8457,f8461,f8874,f8878,f8882,f8886,f8890,f8894,f8898,f8902,f8977,f8981,f8985,f9027,f9031,f9035,f9039,f9043,f9047,f9095,f9099,f9140,f9181,f9190,f9194,f9248,f9258,f9259]) ).

fof(f9259,plain,
    ( ~ spl0_248
    | ~ spl0_266
    | ~ spl0_521 ),
    inference(avatar_split_clause,[],[f9249,f9245,f2023,f1843]) ).

fof(f1843,plain,
    ( spl0_248
  <=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f2023,plain,
    ( spl0_266
  <=> ! [X24] :
        ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),v_T_H____))
        | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f9245,plain,
    ( spl0_521
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f9249,plain,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T_H____))
    | ~ spl0_266
    | ~ spl0_521 ),
    inference(resolution,[],[f9247,f2024]) ).

fof(f2024,plain,
    ( ! [X24] :
        ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X24)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),v_T_H____)) )
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f9247,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____)
    | ~ spl0_521 ),
    inference(avatar_component_clause,[],[f9245]) ).

fof(f9258,plain,
    spl0_522,
    inference(avatar_split_clause,[],[f250,f9255]) ).

fof(f9255,plain,
    ( spl0_522
  <=> hAPP(c_State_Ohp(c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),v_a____) = c_Option_Ooption_OSome(c_Pair(v_C____,v_fs____,tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f250,axiom,
    hAPP(c_State_Ohp(c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),v_a____) = c_Option_Ooption_OSome(c_Pair(v_C____,v_fs____,tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hp_0) ).

fof(f9248,plain,
    spl0_521,
    inference(avatar_split_clause,[],[f659,f9245]) ).

fof(f659,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f9194,plain,
    spl0_520,
    inference(avatar_split_clause,[],[f613,f9192]) ).

fof(f9192,plain,
    ( spl0_520
  <=> ! [X38,X0,X80,X81,X6,X9,X7,X30,X20] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X80)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X81)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X80),X81))
        | ~ c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f613,axiom,
    ! [X38,X0,X80,X81,X6,X9,X7,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X80)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X81)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X80),X81))
      | ~ c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtTry_0) ).

fof(f9190,plain,
    spl0_519,
    inference(avatar_split_clause,[],[f386,f9188]) ).

fof(f9188,plain,
    ( spl0_519
  <=> ! [X38,X0,X80,X81,X6,X9,X7,X30,X20] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X80)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X81)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X80),X81))
        | ~ c_Progress_OWTrt_H(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f386,axiom,
    ! [X38,X0,X80,X81,X6,X9,X7,X30,X20] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X80)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X81)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X80),X81))
      | ~ c_Progress_OWTrt_H(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I22_J_0) ).

fof(f9181,plain,
    spl0_518,
    inference(avatar_split_clause,[],[f175,f9179]) ).

fof(f9179,plain,
    ( spl0_518
  <=> ! [X50,X40,X51,X41,X48,X49,X13,X44,X52,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X50,X49,X24,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f175,axiom,
    ! [X50,X40,X51,X41,X48,X49,X44,X52,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X50,X49,X24,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_1) ).

fof(f9140,plain,
    ( spl0_517
    | ~ spl0_35
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f2334,f2289,f836,f9138]) ).

fof(f9138,plain,
    ( spl0_517
  <=> ! [X0,X3,X2,X1] :
        ( c_List_OListMem(X0,c_List_Oremove1(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f836,plain,
    ( spl0_35
  <=> ! [X13,X24,X63] : c_List_OListMem(X24,c_List_Olist_OCons(X24,X63,X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2289,plain,
    ( spl0_304
  <=> ! [X24,X57,X13,X63] :
        ( X24 = X57
        | c_List_Oremove1(X24,c_List_Olist_OCons(X57,X63,X13),X13) = c_List_Olist_OCons(X57,c_List_Oremove1(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f2334,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_List_OListMem(X0,c_List_Oremove1(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3)
        | X0 = X1 )
    | ~ spl0_35
    | ~ spl0_304 ),
    inference(superposition,[],[f837,f2290]) ).

fof(f2290,plain,
    ( ! [X57,X63,X24,X13] :
        ( c_List_Oremove1(X24,c_List_Olist_OCons(X57,X63,X13),X13) = c_List_Olist_OCons(X57,c_List_Oremove1(X24,X63,X13),X13)
        | X24 = X57 )
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f2289]) ).

fof(f837,plain,
    ( ! [X63,X24,X13] : c_List_OListMem(X24,c_List_Olist_OCons(X24,X63,X13),X13)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f9099,plain,
    spl0_516,
    inference(avatar_split_clause,[],[f618,f9097]) ).

fof(f9097,plain,
    ( spl0_516
  <=> ! [X38,X24,X20,X0,X6,X30,X2] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X24)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X24)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_OBoolean)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f618,axiom,
    ! [X2,X38,X0,X6,X24,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X24)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X24)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCond_1) ).

fof(f9095,plain,
    spl0_515,
    inference(avatar_split_clause,[],[f293,f9093]) ).

fof(f9093,plain,
    ( spl0_515
  <=> ! [X38,X24,X20,X0,X6,X30,X2] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X24)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X24)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_OBoolean)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f293,axiom,
    ! [X2,X38,X0,X6,X24,X30,X20] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X24)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X24)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).

fof(f9047,plain,
    spl0_514,
    inference(avatar_split_clause,[],[f225,f9045]) ).

fof(f9045,plain,
    ( spl0_514
  <=> ! [X20,X38,X9,X10,X7,X6,X30] :
        ( ~ c_WellType_OWT(X6,X30,X38,X10)
        | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
        | ~ c_WellType_OWT(X6,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f225,axiom,
    ! [X38,X10,X6,X9,X7,X30,X20] :
      ( ~ c_WellType_OWT(X6,X30,X38,X10)
      | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_WellType_OWT(X6,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTTry_0) ).

fof(f9043,plain,
    spl0_513,
    inference(avatar_split_clause,[],[f159,f9041]) ).

fof(f9041,plain,
    ( spl0_513
  <=> ! [X50,X40,X51,X41,X49,X13,X47,X44,X52,X24,X43] :
        ( c_Type_Oty_OBoolean = X47
        | c_Type_Oty_OVoid = X47
        | c_Type_Oty_ONT = X47
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X41,X24,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X24,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f159,axiom,
    ! [X50,X40,X51,X41,X49,X47,X44,X52,X24,X13,X43] :
      ( c_Type_Oty_OBoolean = X47
      | c_Type_Oty_OVoid = X47
      | c_Type_Oty_ONT = X47
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X41,X24,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X24,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_5) ).

fof(f9039,plain,
    ( spl0_512
    | ~ spl0_33
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2000,f1940,f828,f9037]) ).

fof(f9037,plain,
    ( spl0_512
  <=> ! [X2,X0,X1] : c_List_Oappend(c_List_Olist_OCons(X2,c_List_Olist_ONil(X0),X0),X1,X0) = c_List_Olist_OCons(X2,X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f828,plain,
    ( spl0_33
  <=> ! [X13,X24] : c_List_Oappend(c_List_Olist_ONil(X13),X24,X13) = X24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1940,plain,
    ( spl0_262
  <=> ! [X24,X47,X13,X69] : c_List_Oappend(c_List_Olist_OCons(X24,X47,X13),X69,X13) = c_List_Olist_OCons(X24,c_List_Oappend(X47,X69,X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f2000,plain,
    ( ! [X2,X0,X1] : c_List_Oappend(c_List_Olist_OCons(X2,c_List_Olist_ONil(X0),X0),X1,X0) = c_List_Olist_OCons(X2,X1,X0)
    | ~ spl0_33
    | ~ spl0_262 ),
    inference(superposition,[],[f1941,f829]) ).

fof(f829,plain,
    ( ! [X24,X13] : c_List_Oappend(c_List_Olist_ONil(X13),X24,X13) = X24
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1941,plain,
    ( ! [X47,X69,X24,X13] : c_List_Oappend(c_List_Olist_OCons(X24,X47,X13),X69,X13) = c_List_Olist_OCons(X24,c_List_Oappend(X47,X69,X13),X13)
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f1940]) ).

fof(f9035,plain,
    spl0_511,
    inference(avatar_split_clause,[],[f154,f9033]) ).

fof(f9033,plain,
    ( spl0_511
  <=> ! [X40,X51,X41,X48,X49,X47,X44,X52,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_OBoolean = X47
        | c_Type_Oty_OVoid = X47
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X41,X42,X24,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X24,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f154,axiom,
    ! [X40,X51,X41,X48,X49,X47,X44,X52,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_OBoolean = X47
      | c_Type_Oty_OVoid = X47
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X41,X42,X24,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X24,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_3) ).

fof(f9031,plain,
    spl0_510,
    inference(avatar_split_clause,[],[f152,f9029]) ).

fof(f9029,plain,
    ( spl0_510
  <=> ! [X50,X40,X51,X48,X49,X13,X47,X44,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_OVoid = X47
        | c_Type_Oty_ONT = X47
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X24,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X24,X48,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f152,axiom,
    ! [X50,X40,X51,X48,X49,X47,X44,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_OVoid = X47
      | c_Type_Oty_ONT = X47
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X24,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X24,X48,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_9) ).

fof(f9027,plain,
    spl0_509,
    inference(avatar_split_clause,[],[f148,f9025]) ).

fof(f9025,plain,
    ( spl0_509
  <=> ! [X50,X41,X48,X49,X13,X47,X44,X52,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_OBoolean = X47
        | c_Type_Oty_ONT = X47
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
        | c_Type_Oty_Oty__case(X24,X41,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X24,X52,X48,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f148,axiom,
    ! [X50,X41,X48,X49,X47,X44,X52,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_OBoolean = X47
      | c_Type_Oty_ONT = X47
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13))
      | c_Type_Oty_Oty__case(X24,X41,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X24,X52,X48,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_17) ).

fof(f8985,plain,
    spl0_508,
    inference(avatar_split_clause,[],[f638,f8983]) ).

fof(f8983,plain,
    ( spl0_508
  <=> ! [X2] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X2,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f638,axiom,
    ! [X2] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X2,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_blocks_Osimps_I2_J_0) ).

fof(f8981,plain,
    spl0_507,
    inference(avatar_split_clause,[],[f254,f8979]) ).

fof(f8979,plain,
    ( spl0_507
  <=> ! [X17,X10,X11,X6,X9,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X9,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f254,axiom,
    ! [X10,X11,X8,X6,X9,X17] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X9,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OInitBlockThrow_0) ).

fof(f8977,plain,
    spl0_506,
    inference(avatar_split_clause,[],[f182,f8975]) ).

fof(f8975,plain,
    ( spl0_506
  <=> ! [X38,X24,X20,X6,X2,X30] :
        ( ~ c_WellType_OWT(X6,X30,X20,X24)
        | ~ c_WellType_OWT(X6,X30,X38,X24)
        | ~ c_WellType_OWT(X6,X30,X2,c_Type_Oty_OBoolean)
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f182,axiom,
    ! [X2,X38,X6,X24,X30,X20] :
      ( ~ c_WellType_OWT(X6,X30,X20,X24)
      | ~ c_WellType_OWT(X6,X30,X38,X24)
      | ~ c_WellType_OWT(X6,X30,X2,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X6,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X24)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTCond_1) ).

fof(f8902,plain,
    spl0_505,
    inference(avatar_split_clause,[],[f439,f8900]) ).

fof(f8900,plain,
    ( spl0_505
  <=> ! [X6,X30,X10,X9,X2,X66] :
        ( c_Type_Othis = X9
        | ~ c_WellType_OWT(X6,X30,X2,X66)
        | c_Option_Ooption_OSome(X10,tc_Type_Oty) != hAPP(X30,X9)
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X66),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f439,axiom,
    ! [X2,X10,X6,X9,X66,X30] :
      ( c_Type_Othis = X9
      | ~ c_WellType_OWT(X6,X30,X2,X66)
      | c_Option_Ooption_OSome(X10,tc_Type_Oty) != hAPP(X30,X9)
      | c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X66),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTLAss_0) ).

fof(f8898,plain,
    spl0_504,
    inference(avatar_split_clause,[],[f66,f8896]) ).

fof(f8896,plain,
    ( spl0_504
  <=> ! [X40,X51,X41,X46,X49,X47,X44,X52,X24,X13] :
        ( c_Type_Oty_OBoolean = X46
        | c_Type_Oty_OVoid = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X41,X47,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X52,X47,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f66,axiom,
    ! [X40,X51,X41,X46,X49,X47,X44,X52,X24,X13] :
      ( c_Type_Oty_OBoolean = X46
      | c_Type_Oty_OVoid = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X41,X47,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X52,X47,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_7) ).

fof(f8894,plain,
    spl0_503,
    inference(avatar_split_clause,[],[f62,f8892]) ).

fof(f8892,plain,
    ( spl0_503
  <=> ! [X50,X41,X46,X49,X13,X47,X44,X52,X24,X43] :
        ( c_Type_Oty_OBoolean = X46
        | c_Type_Oty_ONT = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X47,X41,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X24,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f62,axiom,
    ! [X50,X41,X46,X49,X47,X44,X52,X24,X13,X43] :
      ( c_Type_Oty_OBoolean = X46
      | c_Type_Oty_ONT = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X47,X41,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X24,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_21) ).

fof(f8890,plain,
    spl0_502,
    inference(avatar_split_clause,[],[f59,f8888]) ).

fof(f8888,plain,
    ( spl0_502
  <=> ! [X50,X40,X51,X46,X49,X13,X47,X44,X24,X43] :
        ( c_Type_Oty_ONT = X46
        | c_Type_Oty_OVoid = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X47,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X24,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f59,axiom,
    ! [X50,X40,X51,X46,X49,X47,X44,X24,X13,X43] :
      ( c_Type_Oty_ONT = X46
      | c_Type_Oty_OVoid = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X47,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X24,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_13) ).

fof(f8886,plain,
    ( spl0_501
    | ~ spl0_251
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f2558,f2527,f1879,f8884]) ).

fof(f8884,plain,
    ( spl0_501
  <=> ! [X0,X1] :
        ( c_Type_Oty_OClass(X0) != c_Type_Oty_OClass(X1)
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f1879,plain,
    ( spl0_251
  <=> ! [X0] : c_Type_Oty_OClass(X0) = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f2527,plain,
    ( spl0_332
  <=> ! [X0,X1] :
        ( c_Type_Oty_OClass(X0) != c_Type_Oty_OClass(X1)
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f2558,plain,
    ( ! [X0,X1] :
        ( c_Type_Oty_OClass(X0) != c_Type_Oty_OClass(X1)
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)) )
    | ~ spl0_251
    | ~ spl0_332 ),
    inference(superposition,[],[f2528,f1880]) ).

fof(f1880,plain,
    ( ! [X0] : c_Type_Oty_OClass(X0) = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)))
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f1879]) ).

fof(f2528,plain,
    ( ! [X0,X1] :
        ( c_Type_Oty_OClass(X0) != c_Type_Oty_OClass(X1)
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = X1 )
    | ~ spl0_332 ),
    inference(avatar_component_clause,[],[f2527]) ).

fof(f8882,plain,
    spl0_500,
    inference(avatar_split_clause,[],[f56,f8880]) ).

fof(f8880,plain,
    ( spl0_500
  <=> ! [X40,X51,X48,X46,X49,X47,X44,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_OVoid = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X47,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X48,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f56,axiom,
    ! [X40,X51,X48,X46,X49,X47,X44,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_OVoid = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X47,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X48,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_11) ).

fof(f8878,plain,
    spl0_499,
    inference(avatar_split_clause,[],[f53,f8876]) ).

fof(f8876,plain,
    ( spl0_499
  <=> ! [X41,X48,X46,X49,X47,X44,X52,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_OBoolean = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X47,X41,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X48,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f53,axiom,
    ! [X41,X48,X46,X49,X47,X44,X52,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_OBoolean = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X47,X41,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X48,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_19) ).

fof(f8874,plain,
    spl0_498,
    inference(avatar_split_clause,[],[f49,f8872]) ).

fof(f8872,plain,
    ( spl0_498
  <=> ! [X50,X48,X46,X49,X13,X47,X44,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_ONT = X46
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
        | c_Type_Oty_Oty__case(X47,X24,X42,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X24,X48,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f49,axiom,
    ! [X50,X48,X46,X49,X47,X44,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_ONT = X46
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13))
      | c_Type_Oty_Oty__case(X47,X24,X42,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X24,X48,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_25) ).

fof(f8461,plain,
    spl0_497,
    inference(avatar_split_clause,[],[f258,f8459]) ).

fof(f8459,plain,
    ( spl0_497
  <=> ! [X50,X40,X51,X41,X48,X49,X13,X44,X52,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13)) = X24
        | c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X50,X49,X24,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f258,axiom,
    ! [X50,X40,X51,X41,X48,X49,X44,X52,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X24,X44,X49,X13)) = X24
      | c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X50,X49,X24,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_0) ).

fof(f8457,plain,
    spl0_496,
    inference(avatar_split_clause,[],[f195,f8455]) ).

fof(f8455,plain,
    ( spl0_496
  <=> ! [X6,X10,X9,X0,X30,X2,X66] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X66)
        | c_Option_Ooption_OSome(X10,tc_Type_Oty) != hAPP(X30,X9)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X66),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f195,axiom,
    ! [X2,X10,X0,X6,X9,X66,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X66)
      | c_Option_Ooption_OSome(X10,tc_Type_Oty) != hAPP(X30,X9)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X66),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtLAss_0) ).

fof(f8421,plain,
    spl0_495,
    inference(avatar_split_clause,[],[f103,f8419]) ).

fof(f8419,plain,
    ( spl0_495
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f103,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_36) ).

fof(f8416,plain,
    ( spl0_494
    | ~ spl0_141
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2152,f2074,f1306,f8414]) ).

fof(f8414,plain,
    ( spl0_494
  <=> ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2))
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X2)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f1306,plain,
    ( spl0_141
  <=> ! [X13,X112,X111] :
        ( X111 = X112
        | ~ hBOOL(hAPP(hAPP(c_fequal(X13),X111),X112)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2074,plain,
    ( spl0_278
  <=> ! [X5,X0] : hAPP(X5,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0))) = hAPP(X5,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2152,plain,
    ( ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2))
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X2)) = X1 )
    | ~ spl0_141
    | ~ spl0_278 ),
    inference(superposition,[],[f1307,f2075]) ).

fof(f2075,plain,
    ( ! [X0,X5] : hAPP(X5,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0))) = hAPP(X5,X0)
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f2074]) ).

fof(f1307,plain,
    ( ! [X111,X13,X112] :
        ( ~ hBOOL(hAPP(hAPP(c_fequal(X13),X111),X112))
        | X111 = X112 )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f8412,plain,
    spl0_493,
    inference(avatar_split_clause,[],[f90,f8410]) ).

fof(f8410,plain,
    ( spl0_493
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f90,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_36) ).

fof(f8308,plain,
    ( spl0_492
    | ~ spl0_141
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2146,f2074,f1306,f8306]) ).

fof(f8306,plain,
    ( spl0_492
  <=> ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2))
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f2146,plain,
    ( ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2))
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)) = X2 )
    | ~ spl0_141
    | ~ spl0_278 ),
    inference(superposition,[],[f1307,f2075]) ).

fof(f8271,plain,
    spl0_491,
    inference(avatar_split_clause,[],[f119,f8269]) ).

fof(f8269,plain,
    ( spl0_491
  <=> ! [X41,X46,X49,X47,X44,X45,X52,X24,X13] :
        ( c_Type_Oty_OBoolean = X45
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
        | c_Type_Oty_Oty__case(X46,X41,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X52,X47,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f119,axiom,
    ! [X41,X46,X49,X47,X44,X45,X52,X24,X13] :
      ( c_Type_Oty_OBoolean = X45
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
      | c_Type_Oty_Oty__case(X46,X41,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X52,X47,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_23) ).

fof(f8267,plain,
    spl0_490,
    inference(avatar_split_clause,[],[f118,f8265]) ).

fof(f8265,plain,
    ( spl0_490
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f118,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_20) ).

fof(f8263,plain,
    spl0_489,
    inference(avatar_split_clause,[],[f117,f8261]) ).

fof(f8261,plain,
    ( spl0_489
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f117,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_20) ).

fof(f8259,plain,
    spl0_488,
    inference(avatar_split_clause,[],[f116,f8257]) ).

fof(f8257,plain,
    ( spl0_488
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f116,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_28) ).

fof(f8255,plain,
    spl0_487,
    inference(avatar_split_clause,[],[f115,f8253]) ).

fof(f8253,plain,
    ( spl0_487
  <=> ! [X44,X51,X47,X13,X46,X40,X49,X45,X24] :
        ( c_Type_Oty_OVoid = X45
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
        | c_Type_Oty_Oty__case(X40,X46,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X51,X46,X47,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f115,axiom,
    ! [X40,X51,X46,X49,X47,X44,X45,X24,X13] :
      ( c_Type_Oty_OVoid = X45
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
      | c_Type_Oty_Oty__case(X40,X46,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X51,X46,X47,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_15) ).

fof(f8251,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f114,f8249]) ).

fof(f8249,plain,
    ( spl0_486
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f114,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_28) ).

fof(f8247,plain,
    spl0_485,
    inference(avatar_split_clause,[],[f112,f8245]) ).

fof(f8245,plain,
    ( spl0_485
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f112,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_34) ).

fof(f8242,plain,
    ( spl0_484
    | ~ spl0_122
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2129,f2074,f1229,f8240]) ).

fof(f8240,plain,
    ( spl0_484
  <=> ! [X0,X3,X2,X1] : c_Fun_Ofun__upd(X0,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),hAPP(X0,X1),X2,X3) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f1229,plain,
    ( spl0_122
  <=> ! [X59,X13,X62,X24] : c_Fun_Ofun__upd(X62,X24,hAPP(X62,X24),X59,X13) = X62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2129,plain,
    ( ! [X2,X3,X0,X1] : c_Fun_Ofun__upd(X0,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),hAPP(X0,X1),X2,X3) = X0
    | ~ spl0_122
    | ~ spl0_278 ),
    inference(superposition,[],[f1230,f2075]) ).

fof(f1230,plain,
    ( ! [X59,X62,X24,X13] : c_Fun_Ofun__upd(X62,X24,hAPP(X62,X24),X59,X13) = X62
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f8238,plain,
    spl0_483,
    inference(avatar_split_clause,[],[f111,f8236]) ).

fof(f8236,plain,
    ( spl0_483
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f111,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_34) ).

fof(f8234,plain,
    spl0_482,
    inference(avatar_split_clause,[],[f110,f8232]) ).

fof(f8232,plain,
    ( spl0_482
  <=> ! [X50,X46,X49,X13,X47,X44,X45,X24,X43] :
        ( c_Type_Oty_ONT = X45
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
        | c_Type_Oty_Oty__case(X46,X47,X24,X43,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X24,X50,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f110,axiom,
    ! [X50,X46,X49,X47,X44,X45,X24,X13,X43] :
      ( c_Type_Oty_ONT = X45
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
      | c_Type_Oty_Oty__case(X46,X47,X24,X43,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X24,X50,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_29) ).

fof(f8230,plain,
    spl0_481,
    inference(avatar_split_clause,[],[f109,f8228]) ).

fof(f8228,plain,
    ( spl0_481
  <=> ! [X48,X46,X49,X47,X44,X45,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X45
        | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
        | c_Type_Oty_Oty__case(X46,X47,X42,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X48,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f109,axiom,
    ! [X48,X46,X49,X47,X44,X45,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X45
      | hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13))
      | c_Type_Oty_Oty__case(X46,X47,X42,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X48,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_27) ).

fof(f8226,plain,
    spl0_480,
    inference(avatar_split_clause,[],[f108,f8224]) ).

fof(f8224,plain,
    ( spl0_480
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f108,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_32) ).

fof(f8222,plain,
    spl0_479,
    inference(avatar_split_clause,[],[f107,f8220]) ).

fof(f8220,plain,
    ( spl0_479
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f107,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_32) ).

fof(f6802,plain,
    ( spl0_478
    | ~ spl0_123
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2125,f2074,f1233,f6800]) ).

fof(f6800,plain,
    ( spl0_478
  <=> ! [X4,X0,X3,X2,X1] : hAPP(c_Fun_Ofun__upd(X0,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),X2,X3,X4),X1) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f1233,plain,
    ( spl0_123
  <=> ! [X24,X57,X13,X78,X62] : hAPP(c_Fun_Ofun__upd(X62,X24,X57,X13,X78),X24) = X57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2125,plain,
    ( ! [X2,X3,X0,X1,X4] : hAPP(c_Fun_Ofun__upd(X0,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),X2,X3,X4),X1) = X2
    | ~ spl0_123
    | ~ spl0_278 ),
    inference(superposition,[],[f2075,f1234]) ).

fof(f1234,plain,
    ( ! [X78,X57,X62,X24,X13] : hAPP(c_Fun_Ofun__upd(X62,X24,X57,X13,X78),X24) = X57
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f6562,plain,
    spl0_477,
    inference(avatar_split_clause,[],[f619,f6560]) ).

fof(f6560,plain,
    ( spl0_477
  <=> ! [X38,X10,X30,X20,X0,X6,X9,X7] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
        | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X7,X30,X6,X10,X9,X38,X20,X0)),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f619,axiom,
    ! [X38,X10,X0,X6,X9,X7,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X7,X30,X6,X10,X9,X38,X20,X0)),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).

fof(f6558,plain,
    spl0_476,
    inference(avatar_split_clause,[],[f170,f6556]) ).

fof(f6556,plain,
    ( spl0_476
  <=> ! [X50,X40,X51,X41,X49,X13,X47,X44,X52,X24,X43] :
        ( c_Type_Oty_OBoolean = X47
        | c_Type_Oty_ONT = X47
        | c_Type_Oty_OVoid = X47
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
        | c_Type_Oty_Oty__case(X40,X41,X24,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X24,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f170,axiom,
    ! [X50,X40,X51,X41,X49,X47,X44,X52,X24,X13,X43] :
      ( c_Type_Oty_OBoolean = X47
      | c_Type_Oty_ONT = X47
      | c_Type_Oty_OVoid = X47
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
      | c_Type_Oty_Oty__case(X40,X41,X24,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X24,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_4) ).

fof(f6554,plain,
    spl0_475,
    inference(avatar_split_clause,[],[f169,f6552]) ).

fof(f6552,plain,
    ( spl0_475
  <=> ! [X40,X51,X41,X48,X49,X47,X44,X52,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_OBoolean = X47
        | c_Type_Oty_OVoid = X47
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
        | c_Type_Oty_Oty__case(X40,X41,X42,X24,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X24,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f169,axiom,
    ! [X40,X51,X41,X48,X49,X47,X44,X52,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_OBoolean = X47
      | c_Type_Oty_OVoid = X47
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
      | c_Type_Oty_Oty__case(X40,X41,X42,X24,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X52,X48,X24,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_2) ).

fof(f6550,plain,
    spl0_474,
    inference(avatar_split_clause,[],[f165,f6548]) ).

fof(f6548,plain,
    ( spl0_474
  <=> ! [X50,X41,X48,X49,X13,X47,X44,X52,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_OBoolean = X47
        | c_Type_Oty_ONT = X47
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
        | c_Type_Oty_Oty__case(X24,X41,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X24,X52,X48,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f165,axiom,
    ! [X50,X41,X48,X49,X47,X44,X52,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_OBoolean = X47
      | c_Type_Oty_ONT = X47
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
      | c_Type_Oty_Oty__case(X24,X41,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X24,X52,X48,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_16) ).

fof(f6546,plain,
    spl0_473,
    inference(avatar_split_clause,[],[f162,f6544]) ).

fof(f6544,plain,
    ( spl0_473
  <=> ! [X50,X40,X51,X48,X49,X13,X47,X44,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X47
        | c_Type_Oty_ONT = X47
        | c_Type_Oty_OVoid = X47
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
        | c_Type_Oty_Oty__case(X40,X24,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X24,X48,X50,X49,X47,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f162,axiom,
    ! [X50,X40,X51,X48,X49,X47,X44,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X47
      | c_Type_Oty_ONT = X47
      | c_Type_Oty_OVoid = X47
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X47,X44,X49,X13)) = X47
      | c_Type_Oty_Oty__case(X40,X24,X42,X43,X44,X47,X13) = c_Type_Oty_Oty__case(X51,X24,X48,X50,X49,X47,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_8) ).

fof(f6542,plain,
    spl0_472,
    inference(avatar_split_clause,[],[f106,f6540]) ).

fof(f6540,plain,
    ( spl0_472
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f106,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_35) ).

fof(f6532,plain,
    spl0_471,
    inference(avatar_split_clause,[],[f104,f6530]) ).

fof(f6530,plain,
    ( spl0_471
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f104,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_35) ).

fof(f6528,plain,
    spl0_470,
    inference(avatar_split_clause,[],[f65,f6526]) ).

fof(f6526,plain,
    ( spl0_470
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f65,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_12) ).

fof(f6524,plain,
    spl0_469,
    inference(avatar_split_clause,[],[f64,f6522]) ).

fof(f6522,plain,
    ( spl0_469
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f64,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_12) ).

fof(f6520,plain,
    spl0_468,
    inference(avatar_split_clause,[],[f63,f6518]) ).

fof(f6518,plain,
    ( spl0_468
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f63,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_26) ).

fof(f6516,plain,
    spl0_467,
    inference(avatar_split_clause,[],[f61,f6514]) ).

fof(f6514,plain,
    ( spl0_467
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f61,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_26) ).

fof(f6512,plain,
    spl0_466,
    inference(avatar_split_clause,[],[f60,f6510]) ).

fof(f6510,plain,
    ( spl0_466
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f60,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_18) ).

fof(f6508,plain,
    spl0_465,
    inference(avatar_split_clause,[],[f58,f6506]) ).

fof(f6506,plain,
    ( spl0_465
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f58,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_18) ).

fof(f6504,plain,
    spl0_464,
    inference(avatar_split_clause,[],[f57,f6502]) ).

fof(f6502,plain,
    ( spl0_464
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f57,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_16) ).

fof(f6500,plain,
    spl0_463,
    inference(avatar_split_clause,[],[f55,f6498]) ).

fof(f6498,plain,
    ( spl0_463
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f55,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_16) ).

fof(f6496,plain,
    spl0_462,
    inference(avatar_split_clause,[],[f54,f6494]) ).

fof(f6494,plain,
    ( spl0_462
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f54,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_24) ).

fof(f6492,plain,
    ( spl0_461
    | ~ spl0_29
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2003,f1940,f812,f6490]) ).

fof(f6490,plain,
    ( spl0_461
  <=> ! [X0,X3,X2,X1] : c_List_Oappend(X1,X2,X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f812,plain,
    ( spl0_29
  <=> ! [X13,X60,X24] : c_List_Olist_OCons(X24,X60,X13) != X60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2003,plain,
    ( ! [X2,X3,X0,X1] : c_List_Oappend(X1,X2,X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3)
    | ~ spl0_29
    | ~ spl0_262 ),
    inference(superposition,[],[f813,f1941]) ).

fof(f813,plain,
    ( ! [X24,X60,X13] : c_List_Olist_OCons(X24,X60,X13) != X60
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f6488,plain,
    spl0_460,
    inference(avatar_split_clause,[],[f52,f6486]) ).

fof(f6486,plain,
    ( spl0_460
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f52,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_24) ).

fof(f6484,plain,
    spl0_459,
    inference(avatar_split_clause,[],[f51,f6482]) ).

fof(f6482,plain,
    ( spl0_459
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f51,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_30) ).

fof(f6480,plain,
    spl0_458,
    inference(avatar_split_clause,[],[f50,f6478]) ).

fof(f6478,plain,
    ( spl0_458
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f50,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_30) ).

fof(f6406,plain,
    ( spl0_457
    | ~ spl0_66
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f1982,f1916,f972,f6404]) ).

fof(f6404,plain,
    ( spl0_457
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_List_Odistinct(c_List_Oappend(X0,c_List_Oappend(X1,X3,X2),X2),X2)
        | c_List_Odistinct(X3,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f972,plain,
    ( spl0_66
  <=> ! [X13,X65,X63] :
        ( c_List_Odistinct(X65,X13)
        | ~ c_List_Odistinct(c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1916,plain,
    ( spl0_260
  <=> ! [X13,X63,X100,X92] : c_List_Oappend(X63,c_List_Oappend(X100,X92,X13),X13) = c_List_Oappend(c_List_Oappend(X63,X100,X13),X92,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f1982,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Oappend(X0,c_List_Oappend(X1,X3,X2),X2),X2)
        | c_List_Odistinct(X3,X2) )
    | ~ spl0_66
    | ~ spl0_260 ),
    inference(superposition,[],[f973,f1917]) ).

fof(f1917,plain,
    ( ! [X63,X92,X13,X100] : c_List_Oappend(X63,c_List_Oappend(X100,X92,X13),X13) = c_List_Oappend(c_List_Oappend(X63,X100,X13),X92,X13)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1916]) ).

fof(f973,plain,
    ( ! [X65,X63,X13] :
        ( ~ c_List_Odistinct(c_List_Oappend(X63,X65,X13),X13)
        | c_List_Odistinct(X65,X13) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f5984,plain,
    spl0_456,
    inference(avatar_split_clause,[],[f158,f5982]) ).

fof(f5982,plain,
    ( spl0_456
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f158,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_10) ).

fof(f5978,plain,
    spl0_455,
    inference(avatar_split_clause,[],[f157,f5976]) ).

fof(f5976,plain,
    ( spl0_455
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f157,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_10) ).

fof(f5974,plain,
    spl0_454,
    inference(avatar_split_clause,[],[f156,f5972]) ).

fof(f5972,plain,
    ( spl0_454
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f156,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_8) ).

fof(f5970,plain,
    spl0_453,
    inference(avatar_split_clause,[],[f155,f5968]) ).

fof(f5968,plain,
    ( spl0_453
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f155,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_8) ).

fof(f5966,plain,
    spl0_452,
    inference(avatar_split_clause,[],[f153,f5964]) ).

fof(f5964,plain,
    ( spl0_452
  <=> ! [X44,X41,X40,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f153,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_22) ).

fof(f5962,plain,
    spl0_451,
    inference(avatar_split_clause,[],[f151,f5960]) ).

fof(f5960,plain,
    ( spl0_451
  <=> ! [X44,X41,X40,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f151,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_22) ).

fof(f5958,plain,
    spl0_450,
    inference(avatar_split_clause,[],[f150,f5956]) ).

fof(f5956,plain,
    ( spl0_450
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f150,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_14) ).

fof(f5954,plain,
    spl0_449,
    inference(avatar_split_clause,[],[f149,f5952]) ).

fof(f5952,plain,
    ( spl0_449
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f149,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_14) ).

fof(f5950,plain,
    spl0_448,
    inference(avatar_split_clause,[],[f48,f5948]) ).

fof(f5948,plain,
    ( spl0_448
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f48,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_27) ).

fof(f5946,plain,
    spl0_447,
    inference(avatar_split_clause,[],[f46,f5944]) ).

fof(f5944,plain,
    ( spl0_447
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f46,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_19) ).

fof(f5942,plain,
    spl0_446,
    inference(avatar_split_clause,[],[f45,f5940]) ).

fof(f5940,plain,
    ( spl0_446
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f45,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_19) ).

fof(f5938,plain,
    ( spl0_445
    | ~ spl0_225
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f2943,f2892,f1746,f5936]) ).

fof(f5936,plain,
    ( spl0_445
  <=> ! [X0] : c_WellType_OWT(v_P,X0,c_Expr_Oexp_Othrow(c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f1746,plain,
    ( spl0_225
  <=> ! [X7,X6,X2,X30] :
        ( ~ c_WellType_OWT(X6,X30,X2,c_Type_Oty_OClass(X7))
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f2892,plain,
    ( spl0_373
  <=> ! [X0] : c_WellType_OWT(v_P,X0,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f2943,plain,
    ( ! [X0] : c_WellType_OWT(v_P,X0,c_Expr_Oexp_Othrow(c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ spl0_225
    | ~ spl0_373 ),
    inference(resolution,[],[f2893,f1747]) ).

fof(f1747,plain,
    ( ! [X2,X6,X7,X30] :
        ( ~ c_WellType_OWT(X6,X30,X2,c_Type_Oty_OClass(X7))
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1746]) ).

fof(f2893,plain,
    ( ! [X0] : c_WellType_OWT(v_P,X0,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | ~ spl0_373 ),
    inference(avatar_component_clause,[],[f2892]) ).

fof(f5934,plain,
    spl0_444,
    inference(avatar_split_clause,[],[f43,f5932]) ).

fof(f5932,plain,
    ( spl0_444
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f43,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_27) ).

fof(f5930,plain,
    spl0_443,
    inference(avatar_split_clause,[],[f41,f5928]) ).

fof(f5928,plain,
    ( spl0_443
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f41,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_33) ).

fof(f5926,plain,
    spl0_442,
    inference(avatar_split_clause,[],[f39,f5924]) ).

fof(f5924,plain,
    ( spl0_442
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f39,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_33) ).

fof(f5922,plain,
    spl0_441,
    inference(avatar_split_clause,[],[f38,f5920]) ).

fof(f5920,plain,
    ( spl0_441
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f38,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_31) ).

fof(f5918,plain,
    spl0_440,
    inference(avatar_split_clause,[],[f36,f5916]) ).

fof(f5916,plain,
    ( spl0_440
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f36,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_31) ).

fof(f5167,plain,
    spl0_439,
    inference(avatar_split_clause,[],[f507,f5165]) ).

fof(f5165,plain,
    ( spl0_439
  <=> ! [X6,X4,X18,X19,X17,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,X4,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f507,axiom,
    ! [X2,X18,X8,X6,X19,X4,X17,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,X4,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed2_0) ).

fof(f5163,plain,
    spl0_438,
    inference(avatar_split_clause,[],[f174,f5161]) ).

fof(f5161,plain,
    ( spl0_438
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f174,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_6) ).

fof(f5159,plain,
    spl0_437,
    inference(avatar_split_clause,[],[f173,f5157]) ).

fof(f5157,plain,
    ( spl0_437
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f173,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,hAPP(X44,v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24))))
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_6) ).

fof(f5155,plain,
    spl0_436,
    inference(avatar_split_clause,[],[f146,f5153]) ).

fof(f5153,plain,
    ( spl0_436
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f146,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_11) ).

fof(f5151,plain,
    spl0_435,
    inference(avatar_split_clause,[],[f145,f5149]) ).

fof(f5149,plain,
    ( spl0_435
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f145,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_11) ).

fof(f5147,plain,
    spl0_434,
    inference(avatar_split_clause,[],[f144,f5145]) ).

fof(f5145,plain,
    ( spl0_434
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f144,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_25) ).

fof(f5143,plain,
    spl0_433,
    inference(avatar_split_clause,[],[f142,f5141]) ).

fof(f5141,plain,
    ( spl0_433
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f142,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_17) ).

fof(f5139,plain,
    spl0_432,
    inference(avatar_split_clause,[],[f141,f5137]) ).

fof(f5137,plain,
    ( spl0_432
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f141,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_17) ).

fof(f5135,plain,
    spl0_431,
    inference(avatar_split_clause,[],[f139,f5133]) ).

fof(f5133,plain,
    ( spl0_431
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f139,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_25) ).

fof(f5131,plain,
    ( spl0_430
    | ~ spl0_37
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f2432,f2396,f844,f5129]) ).

fof(f5129,plain,
    ( spl0_430
  <=> ! [X4,X0,X3,X2,X1] : c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4) != c_List_Olist_ONil(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f844,plain,
    ( spl0_37
  <=> ! [X13,X24,X47] : c_List_Olist_ONil(X13) != c_List_Olist_OCons(X24,X47,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2396,plain,
    ( spl0_318
  <=> ! [X59,X47,X13,X62,X24] : c_List_Omap(X62,c_List_Olist_OCons(X24,X47,X59),X59,X13) = c_List_Olist_OCons(hAPP(X62,X24),c_List_Omap(X62,X47,X59,X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f2432,plain,
    ( ! [X2,X3,X0,X1,X4] : c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4) != c_List_Olist_ONil(X4)
    | ~ spl0_37
    | ~ spl0_318 ),
    inference(superposition,[],[f845,f2397]) ).

fof(f2397,plain,
    ( ! [X59,X47,X62,X24,X13] : c_List_Omap(X62,c_List_Olist_OCons(X24,X47,X59),X59,X13) = c_List_Olist_OCons(hAPP(X62,X24),c_List_Omap(X62,X47,X59,X13),X13)
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f2396]) ).

fof(f845,plain,
    ( ! [X47,X24,X13] : c_List_Olist_ONil(X13) != c_List_Olist_OCons(X24,X47,X13)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f5127,plain,
    spl0_429,
    inference(avatar_split_clause,[],[f138,f5125]) ).

fof(f5125,plain,
    ( spl0_429
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f138,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_23) ).

fof(f5123,plain,
    spl0_428,
    inference(avatar_split_clause,[],[f136,f5121]) ).

fof(f5121,plain,
    ( spl0_428
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f136,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_15) ).

fof(f5119,plain,
    spl0_427,
    inference(avatar_split_clause,[],[f135,f5117]) ).

fof(f5117,plain,
    ( spl0_427
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X41))
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f135,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X41))
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_15) ).

fof(f5115,plain,
    spl0_426,
    inference(avatar_split_clause,[],[f133,f5113]) ).

fof(f5113,plain,
    ( spl0_426
  <=> ! [X24,X41,X40,X44,X42,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | ~ hBOOL(hAPP(X6,X43))
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f133,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | ~ hBOOL(hAPP(X6,X43))
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_23) ).

fof(f5111,plain,
    spl0_425,
    inference(avatar_split_clause,[],[f132,f5109]) ).

fof(f5109,plain,
    ( spl0_425
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f132,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_29) ).

fof(f5107,plain,
    spl0_424,
    inference(avatar_split_clause,[],[f130,f5105]) ).

fof(f5105,plain,
    ( spl0_424
  <=> ! [X41,X40,X44,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | ~ hBOOL(hAPP(X6,X41))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f130,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | ~ hBOOL(hAPP(X6,X41))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_29) ).

fof(f5103,plain,
    spl0_423,
    inference(avatar_split_clause,[],[f81,f5101]) ).

fof(f5101,plain,
    ( spl0_423
  <=> ! [X44,X54,X13,X46,X47,X45,X49,X24] :
        ( hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13))
        | c_Type_Oty_Oty__case(X45,X46,X47,X24,X44,X54,X13) = c_Type_Oty_Oty__case(X45,X46,X47,X24,X49,X54,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f81,axiom,
    ! [X46,X49,X47,X54,X44,X45,X24,X13] :
      ( hAPP(X44,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13)) != hAPP(X49,c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13))
      | c_Type_Oty_Oty__case(X45,X46,X47,X24,X44,X54,X13) = c_Type_Oty_Oty__case(X45,X46,X47,X24,X49,X54,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_31) ).

fof(f3714,plain,
    spl0_422,
    inference(avatar_split_clause,[],[f547,f3712]) ).

fof(f3712,plain,
    ( spl0_422
  <=> ! [X17,X9,X10,X6,X36,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X9,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),tc_List_Olist(tc_String_Ochar)),hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f547,axiom,
    ! [X10,X36,X8,X6,X9,X17] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X9,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),tc_List_Olist(tc_String_Ochar)),hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_ORedInitBlock_0) ).

fof(f3710,plain,
    spl0_421,
    inference(avatar_split_clause,[],[f172,f3708]) ).

fof(f3708,plain,
    ( spl0_421
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f172,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_9) ).

fof(f3706,plain,
    spl0_420,
    inference(avatar_split_clause,[],[f171,f3704]) ).

fof(f3704,plain,
    ( spl0_420
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X42))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f171,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X42))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_9) ).

fof(f3702,plain,
    spl0_419,
    inference(avatar_split_clause,[],[f168,f3700]) ).

fof(f3700,plain,
    ( spl0_419
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f168,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_7) ).

fof(f3698,plain,
    spl0_418,
    inference(avatar_split_clause,[],[f167,f3696]) ).

fof(f3696,plain,
    ( spl0_418
  <=> ! [X24,X41,X42,X40,X44,X6,X43] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_OVoid = X24
        | ~ hBOOL(hAPP(X6,X43))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f167,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_OVoid = X24
      | ~ hBOOL(hAPP(X6,X43))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_7) ).

fof(f3694,plain,
    spl0_417,
    inference(avatar_split_clause,[],[f166,f3692]) ).

fof(f3692,plain,
    ( spl0_417
  <=> ! [X44,X41,X40,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f166,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_21) ).

fof(f3690,plain,
    spl0_416,
    inference(avatar_split_clause,[],[f164,f3688]) ).

fof(f3688,plain,
    ( spl0_416
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f164,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_13) ).

fof(f3686,plain,
    spl0_415,
    inference(avatar_split_clause,[],[f163,f3684]) ).

fof(f3684,plain,
    ( spl0_415
  <=> ! [X41,X42,X40,X44,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X41))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f163,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X41))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_13) ).

fof(f3676,plain,
    spl0_414,
    inference(avatar_split_clause,[],[f161,f3674]) ).

fof(f3674,plain,
    ( spl0_414
  <=> ! [X44,X41,X40,X42,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | ~ hBOOL(hAPP(X6,X40))
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f161,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | ~ hBOOL(hAPP(X6,X40))
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_21) ).

fof(f3672,plain,
    spl0_413,
    inference(avatar_split_clause,[],[f147,f3670]) ).

fof(f3670,plain,
    ( spl0_413
  <=> ! [X40,X51,X41,X46,X49,X47,X44,X52,X24,X13] :
        ( c_Type_Oty_OBoolean = X46
        | c_Type_Oty_OVoid = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X40,X41,X47,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X52,X47,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f147,axiom,
    ! [X40,X51,X41,X46,X49,X47,X44,X52,X24,X13] :
      ( c_Type_Oty_OBoolean = X46
      | c_Type_Oty_OVoid = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X40,X41,X47,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X52,X47,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_6) ).

fof(f3668,plain,
    spl0_412,
    inference(avatar_split_clause,[],[f143,f3666]) ).

fof(f3666,plain,
    ( spl0_412
  <=> ! [X50,X41,X46,X49,X13,X47,X44,X52,X24,X43] :
        ( c_Type_Oty_OBoolean = X46
        | c_Type_Oty_ONT = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X47,X41,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X24,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f143,axiom,
    ! [X50,X41,X46,X49,X47,X44,X52,X24,X13,X43] :
      ( c_Type_Oty_OBoolean = X46
      | c_Type_Oty_ONT = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X47,X41,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X24,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_20) ).

fof(f3664,plain,
    spl0_411,
    inference(avatar_split_clause,[],[f140,f3662]) ).

fof(f3662,plain,
    ( spl0_411
  <=> ! [X50,X40,X51,X46,X49,X13,X47,X44,X24,X43] :
        ( c_Type_Oty_ONT = X46
        | c_Type_Oty_OVoid = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X40,X47,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X24,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f140,axiom,
    ! [X50,X40,X51,X46,X49,X47,X44,X24,X13,X43] :
      ( c_Type_Oty_ONT = X46
      | c_Type_Oty_OVoid = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X40,X47,X24,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X24,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_12) ).

fof(f3660,plain,
    spl0_410,
    inference(avatar_split_clause,[],[f137,f3658]) ).

fof(f3658,plain,
    ( spl0_410
  <=> ! [X40,X51,X48,X46,X49,X47,X44,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_OVoid = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X40,X47,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X48,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f137,axiom,
    ! [X40,X51,X48,X46,X49,X47,X44,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_OVoid = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X40,X47,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X51,X47,X48,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_10) ).

fof(f3656,plain,
    spl0_409,
    inference(avatar_split_clause,[],[f134,f3654]) ).

fof(f3654,plain,
    ( spl0_409
  <=> ! [X41,X48,X46,X49,X47,X44,X52,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_OBoolean = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X47,X41,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X48,X24,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f134,axiom,
    ! [X41,X48,X46,X49,X47,X44,X52,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_OBoolean = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X47,X41,X42,X24,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X52,X48,X24,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_18) ).

fof(f3652,plain,
    spl0_408,
    inference(avatar_split_clause,[],[f131,f3650]) ).

fof(f3650,plain,
    ( spl0_408
  <=> ! [X50,X48,X46,X49,X13,X47,X44,X24,X42,X43] :
        ( c_Type_Oty_OInteger = X46
        | c_Type_Oty_ONT = X46
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
        | c_Type_Oty_Oty__case(X47,X24,X42,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X24,X48,X50,X49,X46,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f131,axiom,
    ! [X50,X48,X46,X49,X47,X44,X24,X42,X13,X43] :
      ( c_Type_Oty_OInteger = X46
      | c_Type_Oty_ONT = X46
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X46,X44,X49,X13)) = X46
      | c_Type_Oty_Oty__case(X47,X24,X42,X43,X44,X46,X13) = c_Type_Oty_Oty__case(X47,X24,X48,X50,X49,X46,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_24) ).

fof(f3572,plain,
    spl0_407,
    inference(avatar_split_clause,[],[f257,f3570]) ).

fof(f3570,plain,
    ( spl0_407
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f257,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_5) ).

fof(f3568,plain,
    ( spl0_406
    | ~ spl0_83
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f1735,f1668,f1040,f3566]) ).

fof(f3566,plain,
    ( spl0_406
  <=> ! [X2,X1] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X2),tc_List_Olist(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f1040,plain,
    ( spl0_83
  <=> ! [X13,X59,X62] : c_List_Olist_ONil(X13) = c_List_Omap(X62,c_List_Olist_ONil(X59),X59,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1668,plain,
    ( spl0_208
  <=> ! [X13,X59,X62,X63] : c_Nat_Osize__class_Osize(c_List_Omap(X62,X63,X59,X13),tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X63,tc_List_Olist(X59)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f1735,plain,
    ( ! [X2,X1] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X2),tc_List_Olist(X2))
    | ~ spl0_83
    | ~ spl0_208 ),
    inference(superposition,[],[f1669,f1041]) ).

fof(f1041,plain,
    ( ! [X59,X62,X13] : c_List_Olist_ONil(X13) = c_List_Omap(X62,c_List_Olist_ONil(X59),X59,X13)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1669,plain,
    ( ! [X59,X62,X63,X13] : c_Nat_Osize__class_Osize(c_List_Omap(X62,X63,X59,X13),tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X63,tc_List_Olist(X59))
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1668]) ).

fof(f3564,plain,
    spl0_405,
    inference(avatar_split_clause,[],[f256,f3562]) ).

fof(f3562,plain,
    ( spl0_405
  <=> ! [X44,X41,X42,X40,X6,X43,X24] :
        ( c_Type_Oty_OInteger = X24
        | c_Type_Oty_OBoolean = X24
        | c_Type_Oty_ONT = X24
        | c_Type_Oty_OVoid = X24
        | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
        | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f256,axiom,
    ! [X40,X41,X6,X44,X24,X42,X43] :
      ( c_Type_Oty_OInteger = X24
      | c_Type_Oty_OBoolean = X24
      | c_Type_Oty_ONT = X24
      | c_Type_Oty_OVoid = X24
      | c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(X6,X44,X24)) = X24
      | hBOOL(hAPP(X6,c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,X24,t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_5) ).

fof(f3558,plain,
    spl0_404,
    inference(avatar_split_clause,[],[f211,f3556]) ).

fof(f3556,plain,
    ( spl0_404
  <=> ! [X6,X10,X0,X30,X2,X7] :
        ( ~ c_Type_Ois__refT(X10)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f211,axiom,
    ! [X2,X10,X0,X6,X7,X30] :
      ( ~ c_Type_Ois__refT(X10)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
      | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCast_0) ).

fof(f3554,plain,
    spl0_403,
    inference(avatar_split_clause,[],[f179,f3552]) ).

fof(f3552,plain,
    ( spl0_403
  <=> ! [X6,X10,X0,X30,X2,X7] :
        ( ~ c_Type_Ois__refT(X10)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
        | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f179,axiom,
    ! [X2,X10,X0,X6,X7,X30] :
      ( ~ c_Type_Ois__refT(X10)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
      | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).

fof(f3273,plain,
    spl0_402,
    inference(avatar_split_clause,[],[f377,f3271]) ).

fof(f3271,plain,
    ( spl0_402
  <=> ! [X38,X10,X30,X20,X0,X6,X9,X7] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
        | c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f377,axiom,
    ! [X38,X10,X0,X6,X9,X7,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
      | c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_1) ).

fof(f3269,plain,
    spl0_401,
    inference(avatar_split_clause,[],[f47,f3267]) ).

fof(f3267,plain,
    ( spl0_401
  <=> ! [X41,X46,X49,X47,X44,X45,X52,X24,X13] :
        ( c_Type_Oty_OBoolean = X45
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
        | c_Type_Oty_Oty__case(X46,X41,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X52,X47,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f47,axiom,
    ! [X41,X46,X49,X47,X44,X45,X52,X24,X13] :
      ( c_Type_Oty_OBoolean = X45
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
      | c_Type_Oty_Oty__case(X46,X41,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X52,X47,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_22) ).

fof(f3265,plain,
    spl0_400,
    inference(avatar_split_clause,[],[f44,f3263]) ).

fof(f3263,plain,
    ( spl0_400
  <=> ! [X44,X51,X47,X13,X46,X40,X49,X45,X24] :
        ( c_Type_Oty_OVoid = X45
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
        | c_Type_Oty_Oty__case(X40,X46,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X51,X46,X47,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f44,axiom,
    ! [X40,X51,X46,X49,X47,X44,X45,X24,X13] :
      ( c_Type_Oty_OVoid = X45
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
      | c_Type_Oty_Oty__case(X40,X46,X47,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X51,X46,X47,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_14) ).

fof(f3261,plain,
    spl0_399,
    inference(avatar_split_clause,[],[f40,f3259]) ).

fof(f3259,plain,
    ( spl0_399
  <=> ! [X50,X46,X49,X13,X47,X44,X45,X24,X43] :
        ( c_Type_Oty_ONT = X45
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
        | c_Type_Oty_Oty__case(X46,X47,X24,X43,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X24,X50,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f40,axiom,
    ! [X50,X46,X49,X47,X44,X45,X24,X13,X43] :
      ( c_Type_Oty_ONT = X45
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
      | c_Type_Oty_Oty__case(X46,X47,X24,X43,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X24,X50,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_28) ).

fof(f3257,plain,
    spl0_398,
    inference(avatar_split_clause,[],[f37,f3255]) ).

fof(f3255,plain,
    ( spl0_398
  <=> ! [X48,X46,X49,X47,X44,X45,X24,X42,X13] :
        ( c_Type_Oty_OInteger = X45
        | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
        | c_Type_Oty_Oty__case(X46,X47,X42,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X48,X24,X49,X45,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f37,axiom,
    ! [X48,X46,X49,X47,X44,X45,X24,X42,X13] :
      ( c_Type_Oty_OInteger = X45
      | c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X45,X44,X49,X13)) = X45
      | c_Type_Oty_Oty__case(X46,X47,X42,X24,X44,X45,X13) = c_Type_Oty_Oty__case(X46,X47,X48,X24,X49,X45,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_26) ).

fof(f3198,plain,
    spl0_397,
    inference(avatar_split_clause,[],[f446,f3196]) ).

fof(f3196,plain,
    ( spl0_397
  <=> ! [X24,X13,X63,X6,X65] :
        ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
        | c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X6,X24,X63,X65,X13),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X6,X24,X63,X65,X13),tc_Type_Oty) = X65 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f446,axiom,
    ! [X65,X6,X63,X24,X13] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
      | c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X6,X24,X63,X65,X13),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X6,X24,X63,X65,X13),tc_Type_Oty) = X65 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__Cons_0) ).

fof(f3194,plain,
    spl0_396,
    inference(avatar_split_clause,[],[f324,f3192]) ).

fof(f3192,plain,
    ( spl0_396
  <=> ! [X65,X59,X82,X13,X63,X6,X92] :
        ( c_List_Olist__all2(X6,X92,X82,X13,X59)
        | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
        | ~ c_List_Olist__all2(X6,c_List_Oappend(X63,X92,X13),c_List_Oappend(X65,X82,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f324,axiom,
    ! [X82,X65,X59,X6,X63,X92,X13] :
      ( c_List_Olist__all2(X6,X92,X82,X13,X59)
      | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
      | ~ c_List_Olist__all2(X6,c_List_Oappend(X63,X92,X13),c_List_Oappend(X65,X82,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append_1) ).

fof(f3190,plain,
    spl0_395,
    inference(avatar_split_clause,[],[f323,f3188]) ).

fof(f3188,plain,
    ( spl0_395
  <=> ! [X92,X59,X82,X13,X63,X6,X65] :
        ( c_List_Olist__all2(X6,X63,X65,X13,X59)
        | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
        | ~ c_List_Olist__all2(X6,c_List_Oappend(X63,X92,X13),c_List_Oappend(X65,X82,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f323,axiom,
    ! [X65,X82,X59,X6,X63,X92,X13] :
      ( c_List_Olist__all2(X6,X63,X65,X13,X59)
      | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
      | ~ c_List_Olist__all2(X6,c_List_Oappend(X63,X92,X13),c_List_Oappend(X65,X82,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append_0) ).

fof(f3186,plain,
    spl0_394,
    inference(avatar_split_clause,[],[f222,f3184]) ).

fof(f3184,plain,
    ( spl0_394
  <=> ! [X59,X11,X58,X13,X75,X56,X76] : c_Map_Omap__upds(X56,c_List_Olist_OCons(X11,X75,X13),c_List_Olist_OCons(X58,X76,X59),X13,X59) = c_Map_Omap__upds(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X59),X13,tc_Option_Ooption(X59)),X75,X76,X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f222,axiom,
    ! [X58,X59,X11,X56,X76,X13,X75] : c_Map_Omap__upds(X56,c_List_Olist_OCons(X11,X75,X13),c_List_Olist_OCons(X58,X76,X59),X13,X59) = c_Map_Omap__upds(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X59),X13,tc_Option_Ooption(X59)),X75,X76,X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upds__Cons_0) ).

fof(f3182,plain,
    spl0_393,
    inference(avatar_split_clause,[],[f160,f3180]) ).

fof(f3180,plain,
    ( spl0_393
  <=> ! [X6,X10,X11,X9,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f160,axiom,
    ! [X10,X11,X8,X6,X9] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(X11)),tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OBlockThrow_0) ).

fof(f3140,plain,
    ( spl0_392
    | ~ spl0_320
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2842,f2791,f2463,f3138]) ).

fof(f3138,plain,
    ( spl0_392
  <=> ! [X0,X1] : c_Progress_OWTrt_H(v_P,X0,X1,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f2463,plain,
    ( spl0_320
  <=> ! [X30,X0,X6,X7] :
        ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f2791,plain,
    ( spl0_363
  <=> c_Decl_Ois__class(v_P,v_C____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f2842,plain,
    ( ! [X0,X1] : c_Progress_OWTrt_H(v_P,X0,X1,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | ~ spl0_320
    | ~ spl0_363 ),
    inference(resolution,[],[f2793,f2464]) ).

fof(f2464,plain,
    ( ! [X0,X6,X7,X30] :
        ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) )
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f2463]) ).

fof(f2793,plain,
    ( c_Decl_Ois__class(v_P,v_C____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ spl0_363 ),
    inference(avatar_component_clause,[],[f2791]) ).

fof(f3087,plain,
    spl0_391,
    inference(avatar_split_clause,[],[f625,f3085]) ).

fof(f3085,plain,
    ( spl0_391
  <=> ! [X2,X31,X10,X0,X6,X30,X32] :
        ( ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | c_WellTypeRT_OWTrts(X6,X0,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f625,axiom,
    ! [X31,X2,X10,X0,X6,X32,X30] :
      ( ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
      | c_WellTypeRT_OWTrts(X6,X0,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCons_0) ).

fof(f3083,plain,
    spl0_390,
    inference(avatar_split_clause,[],[f615,f3081]) ).

fof(f3081,plain,
    ( spl0_390
  <=> ! [X17,X10,X13,X0,X6,X66] :
        ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),X66))
        | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10))
        | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X66)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f615,axiom,
    ! [X10,X0,X6,X17,X66,X13] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),X66))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10))
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X66)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__widen_0) ).

fof(f3079,plain,
    spl0_389,
    inference(avatar_split_clause,[],[f438,f3077]) ).

fof(f3077,plain,
    ( spl0_389
  <=> ! [X82,X13,X0,X6,X70,X32] :
        ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X32,X70,tc_Type_Oty,tc_Type_Oty)
        | ~ c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X32,tc_Value_Oval,tc_Type_Oty)
        | c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X70,tc_Value_Oval,tc_Type_Oty) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f438,axiom,
    ! [X82,X70,X0,X6,X32,X13] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X32,X70,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X32,tc_Value_Oval,tc_Type_Oty)
      | c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X70,tc_Value_Oval,tc_Type_Oty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_confs__widens_0) ).

fof(f3075,plain,
    spl0_388,
    inference(avatar_split_clause,[],[f409,f3073]) ).

fof(f3073,plain,
    ( spl0_388
  <=> ! [X38,X10,X30,X20,X0,X6,X9,X7] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
        | c_WellTypeRT_OWTrt(X6,X0,X30,X38,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X7,X30,X6,X10,X9,X38,X20,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f409,axiom,
    ! [X38,X10,X0,X6,X9,X7,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
      | c_WellTypeRT_OWTrt(X6,X0,X30,X38,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X7,X30,X6,X10,X9,X38,X20,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).

fof(f3071,plain,
    spl0_387,
    inference(avatar_split_clause,[],[f304,f3069]) ).

fof(f3069,plain,
    ( spl0_387
  <=> ! [X6,X30,X10,X0,X9,X2,X66] :
        ( c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OBlock(X9,X10,X2,tc_List_Olist(tc_String_Ochar)),X66)
        | ~ c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(X10,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X2,X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f304,axiom,
    ! [X2,X10,X0,X6,X9,X66,X30] :
      ( c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OBlock(X9,X10,X2,tc_List_Olist(tc_String_Ochar)),X66)
      | ~ c_WellTypeRT_OWTrt(X6,X0,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(X10,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X2,X66) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtBlock_0) ).

fof(f3067,plain,
    spl0_386,
    inference(avatar_split_clause,[],[f300,f3065]) ).

fof(f3065,plain,
    ( spl0_386
  <=> ! [X59,X11,X58,X13,X56,X90,X89] :
        ( X11 = X89
        | c_Fun_Ofun__upd(c_Fun_Ofun__upd(X56,X11,X58,X13,X59),X89,X90,X13,X59) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X56,X89,X90,X13,X59),X11,X58,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f300,axiom,
    ! [X58,X59,X11,X90,X56,X89,X13] :
      ( X11 = X89
      | c_Fun_Ofun__upd(c_Fun_Ofun__upd(X56,X11,X58,X13,X59),X89,X90,X13,X59) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X56,X89,X90,X13,X59),X11,X58,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).

fof(f3063,plain,
    spl0_385,
    inference(avatar_split_clause,[],[f270,f3061]) ).

fof(f3061,plain,
    ( spl0_385
  <=> ! [X38,X10,X30,X20,X6,X9,X7] :
        ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
        | c_WellType_OWT(X6,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f270,axiom,
    ! [X38,X10,X6,X9,X7,X30,X20] :
      ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10)
      | c_WellType_OWT(X6,c_Fun_Ofun__upd(X30,X9,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X20,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_1) ).

fof(f3059,plain,
    ( spl0_384
    | ~ spl0_330
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2841,f2791,f2507,f3057]) ).

fof(f3057,plain,
    ( spl0_384
  <=> ! [X0,X1] : c_WellTypeRT_OWTrt(v_P,X0,X1,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f2507,plain,
    ( spl0_330
  <=> ! [X30,X0,X6,X7] :
        ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f2841,plain,
    ( ! [X0,X1] : c_WellTypeRT_OWTrt(v_P,X0,X1,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | ~ spl0_330
    | ~ spl0_363 ),
    inference(resolution,[],[f2793,f2508]) ).

fof(f2508,plain,
    ( ! [X0,X6,X7,X30] :
        ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) )
    | ~ spl0_330 ),
    inference(avatar_component_clause,[],[f2507]) ).

fof(f3055,plain,
    spl0_383,
    inference(avatar_split_clause,[],[f75,f3053]) ).

fof(f3053,plain,
    ( spl0_383
  <=> ! [X2,X31,X10,X0,X6,X30,X32] :
        ( ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
        | c_Progress_OWTrts_H(X6,X0,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f75,axiom,
    ! [X31,X2,X10,X0,X6,X32,X30] :
      ( ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
      | c_Progress_OWTrts_H(X6,X0,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I15_J_0) ).

fof(f2942,plain,
    spl0_382,
    inference(avatar_split_clause,[],[f647,f2939]) ).

fof(f2939,plain,
    ( spl0_382
  <=> c_WellType_OWT(v_P,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f647,axiom,
    c_WellType_OWT(v_P,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wtabody_0) ).

fof(f2937,plain,
    spl0_381,
    inference(avatar_split_clause,[],[f630,f2934]) ).

fof(f2934,plain,
    ( spl0_381
  <=> c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f630,axiom,
    c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedCall_I5_J_0) ).

fof(f2932,plain,
    spl0_380,
    inference(avatar_split_clause,[],[f315,f2930]) ).

fof(f2930,plain,
    ( spl0_380
  <=> ! [X59,X13,X63,X69,X56,X65] :
        ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
        | c_Map_Omap__upds(X56,X63,X65,X13,X59) = c_Map_Omap__upds(X56,X63,c_List_Oappend(X65,X69,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f315,axiom,
    ! [X65,X59,X56,X69,X63,X13] :
      ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
      | c_Map_Omap__upds(X56,X63,X65,X13,X59) = c_Map_Omap__upds(X56,X63,c_List_Oappend(X65,X69,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upds__append2__drop_0) ).

fof(f2928,plain,
    spl0_379,
    inference(avatar_split_clause,[],[f314,f2926]) ).

fof(f2926,plain,
    ( spl0_379
  <=> ! [X59,X13,X63,X69,X56,X65] :
        ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
        | c_Map_Omap__upds(X56,c_List_Oappend(X63,X69,X13),X65,X13,X59) = c_Map_Omap__upds(X56,X63,X65,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f314,axiom,
    ! [X65,X59,X56,X69,X63,X13] :
      ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) != c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
      | c_Map_Omap__upds(X56,c_List_Oappend(X63,X69,X13),X65,X13,X59) = c_Map_Omap__upds(X56,X63,X65,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upds__append__drop_0) ).

fof(f2924,plain,
    spl0_378,
    inference(avatar_split_clause,[],[f277,f2922]) ).

fof(f2922,plain,
    ( spl0_378
  <=> ! [X59,X57,X13,X84,X24,X86] :
        ( ~ c_Map_Omap__le(X84,X86,X13,X59)
        | c_Map_Omap__le(c_Fun_Ofun__upd(X84,X24,c_Option_Ooption_ONone(X59),X13,tc_Option_Ooption(X59)),c_Fun_Ofun__upd(X86,X24,c_Option_Ooption_OSome(X57,X59),X13,tc_Option_Ooption(X59)),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f277,axiom,
    ! [X59,X57,X86,X84,X24,X13] :
      ( ~ c_Map_Omap__le(X84,X86,X13,X59)
      | c_Map_Omap__le(c_Fun_Ofun__upd(X84,X24,c_Option_Ooption_ONone(X59),X13,tc_Option_Ooption(X59)),c_Fun_Ofun__upd(X86,X24,c_Option_Ooption_OSome(X57,X59),X13,tc_Option_Ooption(X59)),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__imp__upd__le_0) ).

fof(f2920,plain,
    spl0_377,
    inference(avatar_split_clause,[],[f178,f2918]) ).

fof(f2918,plain,
    ( spl0_377
  <=> ! [X24,X11,X57,X13,X56,X59,X58] :
        ( X11 = X24
        | hAPP(X56,X24) = c_Option_Ooption_OSome(X57,X13)
        | c_Option_Ooption_OSome(X57,X13) != hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f178,axiom,
    ! [X58,X59,X11,X56,X57,X24,X13] :
      ( X11 = X24
      | hAPP(X56,X24) = c_Option_Ooption_OSome(X57,X13)
      | c_Option_Ooption_OSome(X57,X13) != hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_0) ).

fof(f2916,plain,
    spl0_376,
    inference(avatar_split_clause,[],[f177,f2914]) ).

fof(f2914,plain,
    ( spl0_376
  <=> ! [X24,X11,X57,X13,X56,X59,X58] :
        ( X57 = X58
        | hAPP(X56,X24) = c_Option_Ooption_OSome(X57,X13)
        | c_Option_Ooption_OSome(X57,X13) != hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f177,axiom,
    ! [X58,X59,X11,X56,X57,X24,X13] :
      ( X57 = X58
      | hAPP(X56,X24) = c_Option_Ooption_OSome(X57,X13)
      | c_Option_Ooption_OSome(X57,X13) != hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_2) ).

fof(f2912,plain,
    spl0_375,
    inference(avatar_split_clause,[],[f176,f2910]) ).

fof(f2910,plain,
    ( spl0_375
  <=> ! [X24,X11,X57,X13,X56,X59,X58] :
        ( X11 = X24
        | hAPP(X56,X24) != c_Option_Ooption_OSome(X57,X13)
        | c_Option_Ooption_OSome(X57,X13) = hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f176,axiom,
    ! [X58,X59,X11,X56,X57,X24,X13] :
      ( X11 = X24
      | hAPP(X56,X24) != c_Option_Ooption_OSome(X57,X13)
      | c_Option_Ooption_OSome(X57,X13) = hAPP(c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X58,X13),X59,tc_Option_Ooption(X13)),X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_4) ).

fof(f2908,plain,
    spl0_374,
    inference(avatar_split_clause,[],[f105,f2906]) ).

fof(f2906,plain,
    ( spl0_374
  <=> ! [X44,X54,X13,X46,X47,X45,X49,X24] :
        ( c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13)) = X54
        | c_Type_Oty_Oty__case(X45,X46,X47,X24,X44,X54,X13) = c_Type_Oty_Oty__case(X45,X46,X47,X24,X49,X54,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f105,axiom,
    ! [X46,X49,X47,X54,X44,X45,X24,X13] :
      ( c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(X54,X44,X49,X13)) = X54
      | c_Type_Oty_Oty__case(X45,X46,X47,X24,X44,X54,X13) = c_Type_Oty_Oty__case(X45,X46,X47,X24,X49,X54,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_30) ).

fof(f2894,plain,
    ( spl0_373
    | ~ spl0_311
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2843,f2791,f2368,f2892]) ).

fof(f2368,plain,
    ( spl0_311
  <=> ! [X6,X7,X30] :
        ( c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7))
        | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2843,plain,
    ( ! [X0] : c_WellType_OWT(v_P,X0,c_Expr_Oexp_Onew(v_C____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | ~ spl0_311
    | ~ spl0_363 ),
    inference(resolution,[],[f2793,f2369]) ).

fof(f2369,plain,
    ( ! [X6,X7,X30] :
        ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) )
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f2831,plain,
    spl0_372,
    inference(avatar_split_clause,[],[f656,f2829]) ).

fof(f2829,plain,
    ( spl0_372
  <=> ! [X10,X13,X6,X25,X110] :
        ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X25),X110))
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X110),X10))
        | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X25),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f656,axiom,
    ! [X10,X6,X25,X13,X110] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X25),X110))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X110),X10))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X25),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__trans_0) ).

fof(f2827,plain,
    spl0_371,
    inference(avatar_split_clause,[],[f648,f2824]) ).

fof(f2824,plain,
    ( spl0_371
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(v_a____)),v_M____,c_List_Omap(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),v_vs____,tc_Value_Oval,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_String_Ochar)),v_T_H____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f648,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_OAddr(v_a____)),v_M____,c_List_Omap(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),v_vs____,tc_Value_Oval,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_String_Ochar)),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_0) ).

fof(f2822,plain,
    spl0_370,
    inference(avatar_split_clause,[],[f627,f2820]) ).

fof(f2820,plain,
    ( spl0_370
  <=> ! [X24,X13,X63,X6,X65] :
        ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
        | c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X63,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X6,X24,X63,X65,X13),tc_Type_Oty,tc_Type_Oty) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f627,axiom,
    ! [X65,X6,X63,X24,X13] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
      | c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X63,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X6,X24,X63,X65,X13),tc_Type_Oty,tc_Type_Oty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__Cons_2) ).

fof(f2818,plain,
    spl0_369,
    inference(avatar_split_clause,[],[f626,f2816]) ).

fof(f2816,plain,
    ( spl0_369
  <=> ! [X24,X13,X63,X6,X65] :
        ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
        | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X24),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X6,X24,X63,X65,X13))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f626,axiom,
    ! [X65,X6,X63,X24,X13] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),c_List_Olist_OCons(X24,X63,tc_Type_Oty),X65,tc_Type_Oty,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X24),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X6,X24,X63,X65,X13))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__Cons_1) ).

fof(f2814,plain,
    spl0_368,
    inference(avatar_split_clause,[],[f616,f2812]) ).

fof(f2812,plain,
    ( spl0_368
  <=> ! [X106,X13,X6,X32,X107] :
        ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X106,X32,tc_Type_Oty,tc_Type_Oty)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X32,X107,tc_Type_Oty,tc_Type_Oty)
        | c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X106,X107,tc_Type_Oty,tc_Type_Oty) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f616,axiom,
    ! [X6,X106,X107,X32,X13] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X106,X32,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X32,X107,tc_Type_Oty,tc_Type_Oty)
      | c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X106,X107,tc_Type_Oty,tc_Type_Oty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__trans_0) ).

fof(f2810,plain,
    spl0_367,
    inference(avatar_split_clause,[],[f523,f2808]) ).

fof(f2808,plain,
    ( spl0_367
  <=> ! [X38,X6,X81,X18,X20,X0,X30,X19] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X81)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,c_Type_Oty_ONT)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAss(X38,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f523,axiom,
    ! [X38,X0,X18,X81,X6,X19,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X81)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAss(X38,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).

fof(f2806,plain,
    spl0_366,
    inference(avatar_split_clause,[],[f481,f2804]) ).

fof(f2804,plain,
    ( spl0_366
  <=> ! [X38,X6,X81,X18,X20,X0,X30,X19] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X81)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X38,c_Type_Oty_ONT)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OFAss(X38,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f481,axiom,
    ! [X38,X0,X18,X81,X6,X19,X30,X20] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X81)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X38,c_Type_Oty_ONT)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OFAss(X38,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).

fof(f2802,plain,
    spl0_365,
    inference(avatar_split_clause,[],[f452,f2800]) ).

fof(f2800,plain,
    ( spl0_365
  <=> ! [X65,X59,X57,X13,X47,X6,X24] :
        ( ~ hBOOL(hAPP(hAPP(X6,X24),X57))
        | ~ c_List_Olist__all2(X6,X47,X65,X13,X59)
        | c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X47,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f452,axiom,
    ! [X65,X59,X47,X6,X57,X24,X13] :
      ( ~ hBOOL(hAPP(hAPP(X6,X24),X57))
      | ~ c_List_Olist__all2(X6,X47,X65,X13,X59)
      | c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X47,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons2_3) ).

fof(f2798,plain,
    spl0_364,
    inference(avatar_split_clause,[],[f372,f2796]) ).

fof(f2796,plain,
    ( spl0_364
  <=> ! [X59,X11,X58,X13,X6,X89,X90] :
        ( ~ c_List_Olist__all2(X6,X11,X58,X13,X59)
        | ~ c_List_Olist__all2(X6,X89,X90,X13,X59)
        | c_List_Olist__all2(X6,c_List_Oappend(X11,X89,X13),c_List_Oappend(X58,X90,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f372,axiom,
    ! [X58,X59,X11,X90,X6,X89,X13] :
      ( ~ c_List_Olist__all2(X6,X11,X58,X13,X59)
      | ~ c_List_Olist__all2(X6,X89,X90,X13,X59)
      | c_List_Olist__all2(X6,c_List_Oappend(X11,X89,X13),c_List_Oappend(X58,X90,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__appendI_0) ).

fof(f2794,plain,
    ( spl0_363
    | ~ spl0_210
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f2777,f2737,f1676,f2791]) ).

fof(f1676,plain,
    ( spl0_210
  <=> ! [X35,X10,X32,X13,X56,X6,X19,X7] :
        ( c_Decl_Ois__class(X6,X7,X13)
        | ~ c_TypeRel_OMethod(X6,X7,X35,X32,X10,X56,X19,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f2737,plain,
    ( spl0_359
  <=> c_TypeRel_OMethod(v_P,v_C____,v_M____,v_Ts____,v_T_H____,c_Pair(v_pns____,v_body____,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f2777,plain,
    ( c_Decl_Ois__class(v_P,v_C____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ spl0_210
    | ~ spl0_359 ),
    inference(resolution,[],[f2739,f1677]) ).

fof(f1677,plain,
    ( ! [X10,X56,X6,X19,X7,X35,X32,X13] :
        ( ~ c_TypeRel_OMethod(X6,X7,X35,X32,X10,X56,X19,X13)
        | c_Decl_Ois__class(X6,X7,X13) )
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1676]) ).

fof(f2739,plain,
    ( c_TypeRel_OMethod(v_P,v_C____,v_M____,v_Ts____,v_T_H____,c_Pair(v_pns____,v_body____,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f2737]) ).

fof(f2789,plain,
    spl0_362,
    inference(avatar_split_clause,[],[f227,f2787]) ).

fof(f2787,plain,
    ( spl0_362
  <=> ! [X6,X4,X9,X20,X8,X23,X2,X7] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OTryCatch(X2,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OTryCatch(X4,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f227,axiom,
    ! [X2,X8,X6,X9,X7,X4,X23,X20] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OTryCatch(X2,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OTryCatch(X4,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OTryRed_0) ).

fof(f2785,plain,
    spl0_361,
    inference(avatar_split_clause,[],[f208,f2783]) ).

fof(f2783,plain,
    ( spl0_361
  <=> ! [X6,X4,X18,X19,X20,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(X2,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAss(X4,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f208,axiom,
    ! [X2,X18,X8,X6,X19,X4,X23,X20] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(X2,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAss(X4,X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed1_0) ).

fof(f2781,plain,
    spl0_360,
    inference(avatar_split_clause,[],[f73,f2779]) ).

fof(f2779,plain,
    ( spl0_360
  <=> ! [X17,X0,X13,X6,X10,X24] :
        ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X24,tc_Type_Oty)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X24),X10))
        | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f73,axiom,
    ! [X10,X0,X6,X17,X24,X13] :
      ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X24,tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X24),X10))
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__def_2) ).

fof(f2740,plain,
    spl0_359,
    inference(avatar_split_clause,[],[f670,f2737]) ).

fof(f670,plain,
    c_TypeRel_OMethod(v_P,v_C____,v_M____,v_Ts____,v_T_H____,c_Pair(v_pns____,v_body____,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    inference(definition_unfolding,[],[f637,f644]) ).

fof(f644,axiom,
    v_T____ = v_T_H____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_HisT_0) ).

fof(f637,axiom,
    c_TypeRel_OMethod(v_P,v_C____,v_M____,v_Ts____,v_T____,c_Pair(v_pns____,v_body____,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_method_0) ).

fof(f2734,plain,
    ( spl0_358
    | ~ spl0_96
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2149,f2074,f1124,f2732]) ).

fof(f2732,plain,
    ( spl0_358
  <=> ! [X0,X3,X2,X1] : c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X2)),hAPP(c_TypeRel_Owiden(X0,X1),X2),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f1124,plain,
    ( spl0_96
  <=> ! [X0,X3,X2,X1] : c_in(X0,hAPP(c_TypeRel_Owiden(X1,X2),X0),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2149,plain,
    ( ! [X2,X3,X0,X1] : c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X2)),hAPP(c_TypeRel_Owiden(X0,X1),X2),X3)
    | ~ spl0_96
    | ~ spl0_278 ),
    inference(superposition,[],[f1125,f2075]) ).

fof(f1125,plain,
    ( ! [X2,X3,X0,X1] : c_in(X0,hAPP(c_TypeRel_Owiden(X1,X2),X0),X3)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f2730,plain,
    spl0_357,
    inference(avatar_split_clause,[],[f609,f2728]) ).

fof(f2728,plain,
    ( spl0_357
  <=> ! [X6,X105,X104] :
        ( X104 = X105
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__3(X104)) = X104
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X6,X105,X104)) = X105
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f609,axiom,
    ! [X6,X104,X105] :
      ( X104 = X105
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__3(X104)) = X104
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X6,X105,X104)) = X105
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen_Ocases_1) ).

fof(f2726,plain,
    spl0_356,
    inference(avatar_split_clause,[],[f608,f2724]) ).

fof(f2724,plain,
    ( spl0_356
  <=> ! [X6,X105,X104] :
        ( X104 = X105
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__3(X104)) = X104
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X6,X105,X104)) = X104
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f608,axiom,
    ! [X6,X104,X105] :
      ( X104 = X105
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__3(X104)) = X104
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X6,X105,X104)) = X104
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen_Ocases_3) ).

fof(f2722,plain,
    spl0_355,
    inference(avatar_split_clause,[],[f331,f2720]) ).

fof(f2720,plain,
    ( spl0_355
  <=> ! [X31,X10,X32,X0,X6,X35,X2,X30] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_ONT)
        | ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f331,axiom,
    ! [X2,X31,X10,X0,X6,X35,X32,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_ONT)
      | ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCallNT_0) ).

fof(f2718,plain,
    spl0_354,
    inference(avatar_split_clause,[],[f74,f2716]) ).

fof(f2716,plain,
    ( spl0_354
  <=> ! [X2,X31,X10,X6,X32,X30] :
        ( ~ c_WellType_OWTs(X6,X30,X31,X32)
        | ~ c_WellType_OWT(X6,X30,X2,X10)
        | c_WellType_OWTs(X6,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f74,axiom,
    ! [X31,X2,X10,X6,X32,X30] :
      ( ~ c_WellType_OWTs(X6,X30,X31,X32)
      | ~ c_WellType_OWT(X6,X30,X2,X10)
      | c_WellType_OWTs(X6,X30,c_List_Olist_OCons(X2,X31,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X10,X32,tc_Type_Oty)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTCons_0) ).

fof(f2714,plain,
    spl0_353,
    inference(avatar_split_clause,[],[f72,f2712]) ).

fof(f2712,plain,
    ( spl0_353
  <=> ! [X31,X10,X32,X0,X6,X35,X2,X30] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_ONT)
        | ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f72,axiom,
    ! [X2,X31,X10,X0,X6,X35,X32,X30] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_ONT)
      | ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I13_J_0) ).

fof(f2691,plain,
    ( spl0_352
    | ~ spl0_40
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2130,f2074,f860,f2689]) ).

fof(f2689,plain,
    ( spl0_352
  <=> ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(X0,X1))
        | c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f860,plain,
    ( spl0_40
  <=> ! [X13,X25,X24] :
        ( ~ hBOOL(hAPP(X25,X24))
        | c_in(X24,X25,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2130,plain,
    ( ! [X2,X0,X1] :
        ( ~ hBOOL(hAPP(X0,X1))
        | c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),X0,X2) )
    | ~ spl0_40
    | ~ spl0_278 ),
    inference(superposition,[],[f861,f2075]) ).

fof(f861,plain,
    ( ! [X24,X25,X13] :
        ( ~ hBOOL(hAPP(X25,X24))
        | c_in(X24,X25,X13) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f2686,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f576,f2684]) ).

fof(f2684,plain,
    ( spl0_351
  <=> ! [X38,X81,X0,X6,X30,X80,X20] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X80)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X81)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f576,axiom,
    ! [X38,X0,X80,X81,X6,X30,X20] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X38,X80)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X20,X81)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).

fof(f2682,plain,
    spl0_350,
    inference(avatar_split_clause,[],[f544,f2680]) ).

fof(f2680,plain,
    ( spl0_350
  <=> ! [X59,X99,X11,X57,X13,X56,X24] :
        ( X24 = X57
        | c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X24,X59),X13,tc_Option_Ooption(X59)) != c_Fun_Ofun__upd(X99,X11,c_Option_Ooption_OSome(X57,X59),X13,tc_Option_Ooption(X59)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f544,axiom,
    ! [X59,X11,X56,X57,X99,X24,X13] :
      ( X24 = X57
      | c_Fun_Ofun__upd(X56,X11,c_Option_Ooption_OSome(X24,X59),X13,tc_Option_Ooption(X59)) != c_Fun_Ofun__upd(X99,X11,c_Option_Ooption_OSome(X57,X59),X13,tc_Option_Ooption(X59)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__eqD1_0) ).

fof(f2678,plain,
    spl0_349,
    inference(avatar_split_clause,[],[f482,f2676]) ).

fof(f2676,plain,
    ( spl0_349
  <=> ! [X38,X81,X0,X6,X30,X80,X20] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X80)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X81)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f482,axiom,
    ! [X38,X0,X80,X81,X6,X30,X20] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X38,X80)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X20,X81)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).

fof(f2674,plain,
    spl0_348,
    inference(avatar_split_clause,[],[f330,f2672]) ).

fof(f2672,plain,
    ( spl0_348
  <=> ! [X6,X4,X31,X8,X23,X35,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCall(X4,X35,X31,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f330,axiom,
    ! [X2,X31,X8,X6,X4,X35,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCall(X2,X35,X31,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCall(X4,X35,X31,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCallObj_0) ).

fof(f2670,plain,
    spl0_347,
    inference(avatar_split_clause,[],[f279,f2668]) ).

fof(f2668,plain,
    ( spl0_347
  <=> ! [X59,X11,X58,X13,X77,X62] :
        ( ~ c_Map_Omap__le(X62,X77,X13,X59)
        | c_Map_Omap__le(c_Fun_Ofun__upd(X62,X11,X58,X13,tc_Option_Ooption(X59)),c_Fun_Ofun__upd(X77,X11,X58,X13,tc_Option_Ooption(X59)),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f279,axiom,
    ! [X58,X59,X11,X62,X77,X13] :
      ( ~ c_Map_Omap__le(X62,X77,X13,X59)
      | c_Map_Omap__le(c_Fun_Ofun__upd(X62,X11,X58,X13,tc_Option_Ooption(X59)),c_Fun_Ofun__upd(X77,X11,X58,X13,tc_Option_Ooption(X59)),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__upd_0) ).

fof(f2666,plain,
    spl0_346,
    inference(avatar_split_clause,[],[f209,f2664]) ).

fof(f2664,plain,
    ( spl0_346
  <=> ! [X6,X4,X18,X19,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAcc(X4,X18,X19,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f209,axiom,
    ! [X2,X18,X8,X6,X19,X4,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OFAcc(X4,X18,X19,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAccRed_0) ).

fof(f2662,plain,
    spl0_345,
    inference(avatar_split_clause,[],[f185,f2660]) ).

fof(f2660,plain,
    ( spl0_345
  <=> ! [X38,X6,X4,X20,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCond(X4,X38,X20,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f185,axiom,
    ! [X2,X38,X8,X6,X4,X23,X20] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCond(X4,X38,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCondRed_0) ).

fof(f2657,plain,
    spl0_344,
    inference(avatar_split_clause,[],[f67,f2655]) ).

fof(f2655,plain,
    ( spl0_344
  <=> ! [X18,X19,X17,X8,X6,X2] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f67,axiom,
    ! [X2,X18,X8,X6,X19,X17] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X18,X19,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow2_0) ).

fof(f2599,plain,
    ( spl0_343
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f2559,f2527,f2597]) ).

fof(f2597,plain,
    ( spl0_343
  <=> ! [X0] : c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f2559,plain,
    ( ! [X0] : c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = X0
    | ~ spl0_332 ),
    inference(equality_resolution,[],[f2528]) ).

fof(f2595,plain,
    spl0_342,
    inference(avatar_split_clause,[],[f612,f2593]) ).

fof(f2593,plain,
    ( spl0_342
  <=> ! [X6,X105,X104] :
        ( X104 = X105
        | c_Type_Oty_ONT = X105
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X6,X105,X104)) = X104
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f612,axiom,
    ! [X6,X104,X105] :
      ( X104 = X105
      | c_Type_Oty_ONT = X105
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X6,X105,X104)) = X104
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen_Ocases_2) ).

fof(f2591,plain,
    spl0_341,
    inference(avatar_split_clause,[],[f611,f2589]) ).

fof(f2589,plain,
    ( spl0_341
  <=> ! [X6,X105,X104] :
        ( X104 = X105
        | c_Type_Oty_ONT = X105
        | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X6,X105,X104)) = X105
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f611,axiom,
    ! [X6,X104,X105] :
      ( X104 = X105
      | c_Type_Oty_ONT = X105
      | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X6,X105,X104)) = X105
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,t_a),X105),X104)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen_Ocases_0) ).

fof(f2587,plain,
    spl0_340,
    inference(avatar_split_clause,[],[f384,f2585]) ).

fof(f2585,plain,
    ( spl0_340
  <=> ! [X17,X0,X13,X6,X10,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10))
        | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X1,X13),X17),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f384,axiom,
    ! [X10,X0,X1,X6,X17,X13] :
      ( ~ c_Objects_Ohext(X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10))
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X1,X13),X17),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__hext_0) ).

fof(f2583,plain,
    spl0_339,
    inference(avatar_split_clause,[],[f382,f2581]) ).

fof(f2581,plain,
    ( spl0_339
  <=> ! [X82,X32,X0,X13,X6,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | ~ c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X32,tc_Value_Oval,tc_Type_Oty)
        | c_List_Olist__all2(c_Conform_Oconf(X6,X1,X13),X82,X32,tc_Value_Oval,tc_Type_Oty) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f382,axiom,
    ! [X82,X0,X1,X6,X32,X13] :
      ( ~ c_Objects_Ohext(X0,X1)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X6,X0,X13),X82,X32,tc_Value_Oval,tc_Type_Oty)
      | c_List_Olist__all2(c_Conform_Oconf(X6,X1,X13),X82,X32,tc_Value_Oval,tc_Type_Oty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_confs__hext_0) ).

fof(f2579,plain,
    spl0_338,
    inference(avatar_split_clause,[],[f345,f2577]) ).

fof(f2577,plain,
    ( spl0_338
  <=> ! [X19,X10,X56,X6,X7,X96,X94,X97,X35,X95,X13,X66] :
        ( X19 = X97
        | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
        | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f345,axiom,
    ! [X10,X56,X19,X6,X7,X96,X94,X97,X35,X95,X66,X13] :
      ( X19 = X97
      | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
      | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__fun_3) ).

fof(f2575,plain,
    spl0_337,
    inference(avatar_split_clause,[],[f344,f2573]) ).

fof(f2573,plain,
    ( spl0_337
  <=> ! [X19,X10,X56,X6,X7,X96,X94,X97,X35,X95,X13,X66] :
        ( X56 = X96
        | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
        | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f344,axiom,
    ! [X10,X56,X6,X19,X7,X96,X94,X97,X35,X95,X66,X13] :
      ( X56 = X96
      | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
      | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__fun_2) ).

fof(f2571,plain,
    spl0_336,
    inference(avatar_split_clause,[],[f343,f2569]) ).

fof(f2569,plain,
    ( spl0_336
  <=> ! [X19,X10,X56,X6,X7,X96,X94,X97,X35,X95,X13,X66] :
        ( X10 = X66
        | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
        | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f343,axiom,
    ! [X10,X56,X6,X19,X7,X96,X94,X97,X66,X35,X95,X13] :
      ( X10 = X66
      | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
      | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__fun_1) ).

fof(f2567,plain,
    spl0_335,
    inference(avatar_split_clause,[],[f342,f2565]) ).

fof(f2565,plain,
    ( spl0_335
  <=> ! [X19,X10,X56,X6,X7,X96,X94,X97,X35,X95,X13,X66] :
        ( X94 = X95
        | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
        | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f342,axiom,
    ! [X10,X56,X6,X19,X7,X96,X94,X97,X95,X35,X66,X13] :
      ( X94 = X95
      | ~ c_TypeRel_OMethod(X6,X7,X35,X95,X10,X56,X19,X13)
      | ~ c_TypeRel_OMethod(X6,X7,X35,X94,X66,X96,X97,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__fun_0) ).

fof(f2563,plain,
    spl0_334,
    inference(avatar_split_clause,[],[f338,f2561]) ).

fof(f2561,plain,
    ( spl0_334
  <=> ! [X59,X13,X63,X62,X65] : c_List_Omap(X62,c_List_Oappend(X63,X65,X59),X59,X13) = c_List_Oappend(c_List_Omap(X62,X63,X59,X13),c_List_Omap(X62,X65,X59,X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f338,axiom,
    ! [X65,X59,X62,X63,X13] : c_List_Omap(X62,c_List_Oappend(X63,X65,X59),X59,X13) = c_List_Oappend(c_List_Omap(X62,X63,X59,X13),c_List_Omap(X62,X65,X59,X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__append_0) ).

fof(f2556,plain,
    spl0_333,
    inference(avatar_split_clause,[],[f240,f2554]) ).

fof(f2554,plain,
    ( spl0_333
  <=> ! [X38,X10,X30,X9,X20,X6,X7] :
        ( c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f240,axiom,
    ! [X38,X10,X6,X9,X7,X30,X20] :
      ( c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_2) ).

fof(f2529,plain,
    ( spl0_332
    | ~ spl0_59
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f1925,f1879,f936,f2527]) ).

fof(f936,plain,
    ( spl0_59
  <=> ! [X27,X33] :
        ( X27 = X33
        | c_Type_Oty_OClass(X27) != c_Type_Oty_OClass(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1925,plain,
    ( ! [X0,X1] :
        ( c_Type_Oty_OClass(X0) != c_Type_Oty_OClass(X1)
        | c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)) = X1 )
    | ~ spl0_59
    | ~ spl0_251 ),
    inference(superposition,[],[f937,f1880]) ).

fof(f937,plain,
    ( ! [X27,X33] :
        ( c_Type_Oty_OClass(X27) != c_Type_Oty_OClass(X33)
        | X27 = X33 )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2513,plain,
    spl0_331,
    inference(avatar_split_clause,[],[f610,f2511]) ).

fof(f2511,plain,
    ( spl0_331
  <=> ! [X10,X13,X6,X7] :
        ( c_Type_Oty_ONT = X10
        | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X7,X6,X10,X13)) = X10
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),c_Type_Oty_OClass(X7))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f610,axiom,
    ! [X10,X6,X7,X13] :
      ( c_Type_Oty_ONT = X10
      | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X7,X6,X10,X13)) = X10
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),c_Type_Oty_OClass(X7))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__Class_0) ).

fof(f2509,plain,
    spl0_330,
    inference(avatar_split_clause,[],[f593,f2507]) ).

fof(f593,axiom,
    ! [X0,X6,X7,X30] :
      ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtNew_0) ).

fof(f2505,plain,
    spl0_329,
    inference(avatar_split_clause,[],[f548,f2503]) ).

fof(f2503,plain,
    ( spl0_329
  <=> ! [X6,X19,X10,X0,X30,X2] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10)
        | c_Decl_Ois__class(X6,X19,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f548,axiom,
    ! [X2,X10,X0,X6,X19,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10)
      | c_Decl_Ois__class(X6,X19,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_3) ).

fof(f2501,plain,
    spl0_328,
    inference(avatar_split_clause,[],[f538,f2499]) ).

fof(f2499,plain,
    ( spl0_328
  <=> ! [X24,X57,X13,X63,X65] :
        ( X24 = X57
        | c_List_Oappend(X63,c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) != c_List_Oappend(X65,c_List_Olist_OCons(X57,c_List_Olist_ONil(X13),X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f538,axiom,
    ! [X65,X57,X63,X24,X13] :
      ( X24 = X57
      | c_List_Oappend(X63,c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) != c_List_Oappend(X65,c_List_Olist_OCons(X57,c_List_Olist_ONil(X13),X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).

fof(f2497,plain,
    spl0_327,
    inference(avatar_split_clause,[],[f537,f2495]) ).

fof(f2495,plain,
    ( spl0_327
  <=> ! [X24,X57,X13,X63,X65] :
        ( X63 = X65
        | c_List_Oappend(X63,c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) != c_List_Oappend(X65,c_List_Olist_OCons(X57,c_List_Olist_ONil(X13),X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f537,axiom,
    ! [X65,X57,X63,X24,X13] :
      ( X63 = X65
      | c_List_Oappend(X63,c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) != c_List_Oappend(X65,c_List_Olist_OCons(X57,c_List_Olist_ONil(X13),X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).

fof(f2493,plain,
    spl0_326,
    inference(avatar_split_clause,[],[f485,f2491]) ).

fof(f2491,plain,
    ( spl0_326
  <=> ! [X6,X4,X7,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCast(X7,X4,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f485,axiom,
    ! [X2,X8,X6,X7,X4,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OCast(X7,X4,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCastRed_0) ).

fof(f2489,plain,
    spl0_325,
    inference(avatar_split_clause,[],[f376,f2487]) ).

fof(f2487,plain,
    ( spl0_325
  <=> ! [X17,X20,X6,X9,X8,X7] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OTryCatch(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f376,axiom,
    ! [X8,X6,X9,X7,X17,X20] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OTryCatch(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_ORedTry_0) ).

fof(f2481,plain,
    spl0_324,
    inference(avatar_split_clause,[],[f346,f2479]) ).

fof(f2479,plain,
    ( spl0_324
  <=> ! [X6,X4,X9,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OLAss(X9,X4,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f346,axiom,
    ! [X2,X8,X6,X9,X4,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OLAss(X9,X4,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OLAssRed_0) ).

fof(f2477,plain,
    spl0_323,
    inference(avatar_split_clause,[],[f311,f2475]) ).

fof(f2475,plain,
    ( spl0_323
  <=> ! [X59,X13,X63,X62,X65] :
        ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X59)) = c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
        | c_List_Omap(X62,X63,X59,X13) != c_List_Omap(X62,X65,X59,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f311,axiom,
    ! [X65,X59,X62,X63,X13] :
      ( c_Nat_Osize__class_Osize(X63,tc_List_Olist(X59)) = c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59))
      | c_List_Omap(X62,X63,X59,X13) != c_List_Omap(X62,X65,X59,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__eq__imp__length__eq_0) ).

fof(f2473,plain,
    spl0_322,
    inference(avatar_split_clause,[],[f292,f2471]) ).

fof(f2471,plain,
    ( spl0_322
  <=> ! [X6,X4,X20,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(X2,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OSeq(X4,X20,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f292,axiom,
    ! [X2,X8,X6,X4,X23,X20] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(X2,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_OSeq(X4,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OSeqRed_0) ).

fof(f2469,plain,
    spl0_321,
    inference(avatar_split_clause,[],[f223,f2467]) ).

fof(f2467,plain,
    ( spl0_321
  <=> ! [X59,X75,X13,X77,X76,X62] :
        ( ~ c_Map_Omap__le(X62,X77,X13,X59)
        | c_Map_Omap__le(c_Map_Omap__upds(X62,X75,X76,X13,X59),c_Map_Omap__upds(X77,X75,X76,X13,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f223,axiom,
    ! [X59,X62,X76,X77,X13,X75] :
      ( ~ c_Map_Omap__le(X62,X77,X13,X59)
      | c_Map_Omap__le(c_Map_Omap__upds(X62,X75,X76,X13,X59),c_Map_Omap__upds(X77,X75,X76,X13,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__upds_0) ).

fof(f2465,plain,
    spl0_320,
    inference(avatar_split_clause,[],[f203,f2463]) ).

fof(f203,axiom,
    ! [X0,X6,X7,X30] :
      ( ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).

fof(f2402,plain,
    spl0_319,
    inference(avatar_split_clause,[],[f571,f2400]) ).

fof(f2400,plain,
    ( spl0_319
  <=> ! [X24,X13,X63,X6] :
        ( ~ hBOOL(hAPP(X6,X24))
        | c_List_OtakeWhile(X6,c_List_Olist_OCons(X24,X63,X13),X13) = c_List_Olist_OCons(X24,c_List_OtakeWhile(X6,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f571,axiom,
    ! [X6,X63,X24,X13] :
      ( ~ hBOOL(hAPP(X6,X24))
      | c_List_OtakeWhile(X6,c_List_Olist_OCons(X24,X63,X13),X13) = c_List_Olist_OCons(X24,c_List_OtakeWhile(X6,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_0) ).

fof(f2398,plain,
    spl0_318,
    inference(avatar_split_clause,[],[f560,f2396]) ).

fof(f560,axiom,
    ! [X59,X47,X62,X24,X13] : c_List_Omap(X62,c_List_Olist_OCons(X24,X47,X59),X59,X13) = c_List_Olist_OCons(hAPP(X62,X24),c_List_Omap(X62,X47,X59,X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).

fof(f2394,plain,
    spl0_317,
    inference(avatar_split_clause,[],[f513,f2392]) ).

fof(f2392,plain,
    ( spl0_317
  <=> ! [X38,X81,X20,X6,X30,X80] :
        ( ~ c_WellType_OWT(X6,X30,X38,X80)
        | ~ c_WellType_OWT(X6,X30,X20,X81)
        | c_WellType_OWT(X6,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f513,axiom,
    ! [X38,X80,X81,X6,X30,X20] :
      ( ~ c_WellType_OWT(X6,X30,X38,X80)
      | ~ c_WellType_OWT(X6,X30,X20,X81)
      | c_WellType_OWT(X6,X30,c_Expr_Oexp_OSeq(X38,X20,tc_List_Olist(tc_String_Ochar)),X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTSeq_0) ).

fof(f2390,plain,
    spl0_316,
    inference(avatar_split_clause,[],[f379,f2388]) ).

fof(f2388,plain,
    ( spl0_316
  <=> ! [X6,X9,X10,X36,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f379,axiom,
    ! [X10,X36,X8,X6,X9] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X9,X10,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X36),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_ORedBlock_0) ).

fof(f2386,plain,
    spl0_315,
    inference(avatar_split_clause,[],[f329,f2384]) ).

fof(f2384,plain,
    ( spl0_315
  <=> ! [X24,X13,X63,X6,X3] :
        ( hBOOL(hAPP(X6,X24))
        | c_List_OtakeWhile(X6,c_List_Oappend(X63,c_List_Olist_OCons(X24,X3,X13),X13),X13) = c_List_OtakeWhile(X6,X63,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f329,axiom,
    ! [X3,X6,X63,X24,X13] :
      ( hBOOL(hAPP(X6,X24))
      | c_List_OtakeWhile(X6,c_List_Oappend(X63,c_List_Olist_OCons(X24,X3,X13),X13),X13) = c_List_OtakeWhile(X6,X63,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__tail_0) ).

fof(f2382,plain,
    spl0_314,
    inference(avatar_split_clause,[],[f273,f2380]) ).

fof(f2380,plain,
    ( spl0_314
  <=> ! [X6,X19,X10,X30,X2] :
        ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10)
        | c_Decl_Ois__class(X6,X19,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f273,axiom,
    ! [X2,X10,X6,X19,X30] :
      ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10)
      | c_Decl_Ois__class(X6,X19,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_2) ).

fof(f2378,plain,
    spl0_313,
    inference(avatar_split_clause,[],[f268,f2376]) ).

fof(f2376,plain,
    ( spl0_313
  <=> ! [X6,X10,X0,X30,X7] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10)
        | c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f268,axiom,
    ! [X10,X0,X6,X7,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10)
      | c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_1) ).

fof(f2374,plain,
    ( spl0_312
    | ~ spl0_37
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2005,f1940,f844,f2372]) ).

fof(f2372,plain,
    ( spl0_312
  <=> ! [X0,X3,X2,X1] : c_List_Olist_ONil(X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f2005,plain,
    ( ! [X2,X3,X0,X1] : c_List_Olist_ONil(X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3)
    | ~ spl0_37
    | ~ spl0_262 ),
    inference(superposition,[],[f845,f1941]) ).

fof(f2370,plain,
    spl0_311,
    inference(avatar_split_clause,[],[f262,f2368]) ).

fof(f262,axiom,
    ! [X6,X7,X30] :
      ( c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X7))
      | ~ c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTNew_0) ).

fof(f2320,plain,
    ( spl0_310
    | ~ spl0_35
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2004,f1940,f836,f2318]) ).

fof(f2318,plain,
    ( spl0_310
  <=> ! [X0,X3,X2,X1] : c_List_OListMem(X0,c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f2004,plain,
    ( ! [X2,X3,X0,X1] : c_List_OListMem(X0,c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3)
    | ~ spl0_35
    | ~ spl0_262 ),
    inference(superposition,[],[f837,f1941]) ).

fof(f2311,plain,
    spl0_309,
    inference(avatar_split_clause,[],[f577,f2309]) ).

fof(f2309,plain,
    ( spl0_309
  <=> ! [X6,X10,X0,X30,X87,X2] :
        ( ~ c_Map_Omap__le(X30,X87,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | c_WellTypeRT_OWTrt(X6,X0,X87,X2,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f577,axiom,
    ! [X2,X10,X0,X6,X87,X30] :
      ( ~ c_Map_Omap__le(X30,X87,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
      | c_WellTypeRT_OWTrt(X6,X0,X87,X2,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).

fof(f2307,plain,
    spl0_308,
    inference(avatar_split_clause,[],[f565,f2305]) ).

fof(f2305,plain,
    ( spl0_308
  <=> ! [X65,X59,X57,X13,X63,X6,X24] :
        ( hBOOL(hAPP(hAPP(X6,X24),X57))
        | ~ c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X63,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f565,axiom,
    ! [X65,X59,X6,X57,X63,X24,X13] :
      ( hBOOL(hAPP(hAPP(X6,X24),X57))
      | ~ c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X63,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons_0) ).

fof(f2303,plain,
    spl0_307,
    inference(avatar_split_clause,[],[f508,f2301]) ).

fof(f2301,plain,
    ( spl0_307
  <=> ! [X61,X60,X13,X59,X24] :
        ( c_Option_Ooption_OSome(X24,X13) != hAPP(X60,X61)
        | c_Fun_Ofun__upd(X60,X61,c_Option_Ooption_OSome(X24,X13),X59,tc_Option_Ooption(X13)) = X60 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f508,axiom,
    ! [X59,X24,X60,X61,X13] :
      ( c_Option_Ooption_OSome(X24,X13) != hAPP(X60,X61)
      | c_Fun_Ofun__upd(X60,X61,c_Option_Ooption_OSome(X24,X13),X59,tc_Option_Ooption(X13)) = X60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__triv_0) ).

fof(f2299,plain,
    spl0_306,
    inference(avatar_split_clause,[],[f479,f2297]) ).

fof(f2297,plain,
    ( spl0_306
  <=> ! [X10,X7,X6,X30] :
        ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10)
        | c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f479,axiom,
    ! [X10,X6,X7,X30] :
      ( ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10)
      | c_Decl_Ois__class(X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_1) ).

fof(f2295,plain,
    spl0_305,
    inference(avatar_split_clause,[],[f456,f2293]) ).

fof(f2293,plain,
    ( spl0_305
  <=> ! [X59,X57,X13,X63,X6,X24,X65] :
        ( c_List_Olist__all2(X6,X63,X65,X13,X59)
        | ~ c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X63,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f456,axiom,
    ! [X65,X59,X6,X57,X63,X24,X13] :
      ( c_List_Olist__all2(X6,X63,X65,X13,X59)
      | ~ c_List_Olist__all2(X6,c_List_Olist_OCons(X24,X63,X13),c_List_Olist_OCons(X57,X65,X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons_1) ).

fof(f2291,plain,
    spl0_304,
    inference(avatar_split_clause,[],[f451,f2289]) ).

fof(f451,axiom,
    ! [X57,X63,X24,X13] :
      ( X24 = X57
      | c_List_Oremove1(X24,c_List_Olist_OCons(X57,X63,X13),X13) = c_List_Olist_OCons(X57,c_List_Oremove1(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_1) ).

fof(f2287,plain,
    spl0_303,
    inference(avatar_split_clause,[],[f445,f2285]) ).

fof(f2285,plain,
    ( spl0_303
  <=> ! [X6,X35,X32,X13,X56,X10,X19,X7] :
        ( ~ c_TypeRel_OMethod(X6,X7,X35,X32,X10,X56,X19,X13)
        | c_TypeRel_OMethod(X6,X19,X35,X32,X10,X56,X19,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f445,axiom,
    ! [X10,X56,X6,X19,X7,X35,X32,X13] :
      ( ~ c_TypeRel_OMethod(X6,X7,X35,X32,X10,X56,X19,X13)
      | c_TypeRel_OMethod(X6,X19,X35,X32,X10,X56,X19,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__idemp_0) ).

fof(f2278,plain,
    spl0_302,
    inference(avatar_split_clause,[],[f325,f2276]) ).

fof(f2276,plain,
    ( spl0_302
  <=> ! [X59,X57,X13,X93,X62,X24] : c_Fun_Ofun__upd(c_Fun_Ofun__upd(X62,X24,X57,X13,X59),X24,X93,X13,X59) = c_Fun_Ofun__upd(X62,X24,X93,X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f325,axiom,
    ! [X59,X57,X62,X24,X13,X93] : c_Fun_Ofun__upd(c_Fun_Ofun__upd(X62,X24,X57,X13,X59),X24,X93,X13,X59) = c_Fun_Ofun__upd(X62,X24,X93,X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).

fof(f2274,plain,
    spl0_301,
    inference(avatar_split_clause,[],[f295,f2272]) ).

fof(f2272,plain,
    ( spl0_301
  <=> ! [X6,X8,X7] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_ONull),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_ONull),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f295,axiom,
    ! [X8,X6,X7] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_ONull),tc_List_Olist(tc_String_Ochar)),X8,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),c_Value_Oval_ONull),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_ORedCastNull_0) ).

fof(f2270,plain,
    spl0_300,
    inference(avatar_split_clause,[],[f233,f2268]) ).

fof(f2268,plain,
    ( spl0_300
  <=> ! [X24,X57,X13,X78,X56,X58] :
        ( X57 = X58
        | hAPP(c_Fun_Ofun__upd(X56,X24,c_Option_Ooption_OSome(X58,X78),X13,tc_Option_Ooption(X78)),X24) != c_Option_Ooption_OSome(X57,X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f233,axiom,
    ! [X58,X78,X56,X57,X24,X13] :
      ( X57 = X58
      | hAPP(c_Fun_Ofun__upd(X56,X24,c_Option_Ooption_OSome(X58,X78),X13,tc_Option_Ooption(X78)),X24) != c_Option_Ooption_OSome(X57,X78) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_1) ).

fof(f2266,plain,
    spl0_299,
    inference(avatar_split_clause,[],[f121,f2264]) ).

fof(f2264,plain,
    ( spl0_299
  <=> ! [X18,X19,X20,X8,X6,X2] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f121,axiom,
    ! [X2,X18,X8,X6,X19,X20] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X18,X19,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow1_0) ).

fof(f2262,plain,
    spl0_298,
    inference(avatar_split_clause,[],[f21,f2260]) ).

fof(f2260,plain,
    ( spl0_298
  <=> ! [X6,X4,X8,X23,X2] :
        ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
        | c_SmallStep_Oredp(X6,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f21,axiom,
    ! [X2,X8,X6,X4,X23] :
      ( ~ c_SmallStep_Oredp(X6,X2,X8,X4,X23)
      | c_SmallStep_Oredp(X6,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OThrowRed_0) ).

fof(f2243,plain,
    ( spl0_297
    | ~ spl0_85
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2147,f2074,f1048,f2241]) ).

fof(f2241,plain,
    ( spl0_297
  <=> ! [X2,X0,X1] : c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),hAPP(c_fequal(X0),X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1048,plain,
    ( spl0_85
  <=> ! [X2,X0,X1] : c_in(X0,hAPP(c_fequal(X1),X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2147,plain,
    ( ! [X2,X0,X1] : c_in(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X1)),hAPP(c_fequal(X0),X1),X2)
    | ~ spl0_85
    | ~ spl0_278 ),
    inference(superposition,[],[f1049,f2075]) ).

fof(f1049,plain,
    ( ! [X2,X0,X1] : c_in(X0,hAPP(c_fequal(X1),X0),X2)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f2210,plain,
    spl0_296,
    inference(avatar_split_clause,[],[f492,f2208]) ).

fof(f2208,plain,
    ( spl0_296
  <=> ! [X38,X10,X0,X20,X6,X2,X30] :
        ( c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_OBoolean)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f492,axiom,
    ! [X2,X38,X10,X0,X6,X30,X20] :
      ( c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_0) ).

fof(f2206,plain,
    spl0_295,
    inference(avatar_split_clause,[],[f434,f2204]) ).

fof(f2204,plain,
    ( spl0_295
  <=> ! [X10,X13,X0,X6] :
        ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),X10))
        | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f434,axiom,
    ! [X10,X0,X6,X13] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),X10))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__Null_0) ).

fof(f2202,plain,
    spl0_294,
    inference(avatar_split_clause,[],[f433,f2200]) ).

fof(f2200,plain,
    ( spl0_294
  <=> ! [X10,X13,X0,X6] :
        ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),X10))
        | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f433,axiom,
    ! [X10,X0,X6,X13] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),X10))
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__Null_1) ).

fof(f2198,plain,
    spl0_293,
    inference(avatar_split_clause,[],[f313,f2196]) ).

fof(f2196,plain,
    ( spl0_293
  <=> ! [X18,X10,X19,X0,X6,X2,X30] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_ONT)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f313,axiom,
    ! [X2,X10,X0,X18,X6,X19,X30] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,c_Type_Oty_ONT)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

fof(f2194,plain,
    spl0_292,
    inference(avatar_split_clause,[],[f301,f2192]) ).

fof(f2192,plain,
    ( spl0_292
  <=> ! [X18,X10,X19,X0,X6,X2,X30] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_ONT)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f301,axiom,
    ! [X2,X10,X0,X18,X6,X19,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAcc(X2,X18,X19,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).

fof(f2190,plain,
    spl0_291,
    inference(avatar_split_clause,[],[f129,f2188]) ).

fof(f2188,plain,
    ( spl0_291
  <=> ! [X6,X10,X0,X30,X2,X39] :
        ( ~ c_Type_Ois__refT(X39)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X39)
        | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f129,axiom,
    ! [X2,X39,X0,X10,X6,X30] :
      ( ~ c_Type_Ois__refT(X39)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X39)
      | c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtThrow_0) ).

fof(f2186,plain,
    spl0_290,
    inference(avatar_split_clause,[],[f128,f2184]) ).

fof(f2184,plain,
    ( spl0_290
  <=> ! [X17,X0,X10,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
        | c_Option_Ooption_OSome(X10,tc_Type_Oty) = c_Objects_Otypeof__h(X1,X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f128,axiom,
    ! [X10,X0,X1,X17] :
      ( ~ c_Objects_Ohext(X0,X1)
      | c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
      | c_Option_Ooption_OSome(X10,tc_Type_Oty) = c_Objects_Otypeof__h(X1,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__typeof__mono_0) ).

fof(f2182,plain,
    spl0_289,
    inference(avatar_split_clause,[],[f127,f2180]) ).

fof(f2180,plain,
    ( spl0_289
  <=> ! [X18,X19,X8,X6,X2] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X18,X19,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f127,axiom,
    ! [X2,X18,X8,X6,X19] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X18,X19,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OFAccThrow_0) ).

fof(f2178,plain,
    spl0_288,
    inference(avatar_split_clause,[],[f123,f2176]) ).

fof(f2176,plain,
    ( spl0_288
  <=> ! [X35,X31,X8,X6,X2] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X35,X31,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f123,axiom,
    ! [X2,X31,X8,X6,X35] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X35,X31,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCallThrowObj_0) ).

fof(f2174,plain,
    spl0_287,
    inference(avatar_split_clause,[],[f122,f2172]) ).

fof(f2172,plain,
    ( spl0_287
  <=> ! [X38,X20,X8,X6,X2] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X38,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f122,axiom,
    ! [X2,X38,X8,X6,X20] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X38,X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCondThrow_0) ).

fof(f2170,plain,
    spl0_286,
    inference(avatar_split_clause,[],[f68,f2168]) ).

fof(f2168,plain,
    ( spl0_286
  <=> ! [X17,X10,X0,X6,X30] :
        ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
        | c_Progress_OWTrt_H(X6,X0,X30,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f68,axiom,
    ! [X10,X0,X6,X17,X30] :
      ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
      | c_Progress_OWTrt_H(X6,X0,X30,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I3_J_0) ).

fof(f2166,plain,
    spl0_285,
    inference(avatar_split_clause,[],[f35,f2164]) ).

fof(f2164,plain,
    ( spl0_285
  <=> ! [X17,X10,X0,X6,X30] :
        ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
        | c_WellTypeRT_OWTrt(X6,X0,X30,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f35,axiom,
    ! [X10,X0,X6,X17,X30] :
      ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X6,X0,X30,hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtVal_0) ).

fof(f2123,plain,
    spl0_284,
    inference(avatar_split_clause,[],[f34,f2121]) ).

fof(f2121,plain,
    ( spl0_284
  <=> ! [X6,X10,X0,X30,X2,X39] :
        ( ~ c_Type_Ois__refT(X39)
        | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X39)
        | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f34,axiom,
    ! [X2,X39,X0,X10,X6,X30] :
      ( ~ c_Type_Ois__refT(X39)
      | ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X39)
      | c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I21_J_0) ).

fof(f2111,plain,
    ( spl0_283
    | ~ spl0_92
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f2031,f1965,f1076,f2108]) ).

fof(f2108,plain,
    ( spl0_283
  <=> c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(v_Ts_H____,tc_List_Olist(tc_Type_Oty)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f1076,plain,
    ( spl0_92
  <=> c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1965,plain,
    ( spl0_265
  <=> c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_Ts_H____,tc_List_Olist(tc_Type_Oty)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f2031,plain,
    ( c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(v_Ts_H____,tc_List_Olist(tc_Type_Oty))
    | ~ spl0_92
    | ~ spl0_265 ),
    inference(superposition,[],[f1967,f1078]) ).

fof(f1078,plain,
    ( c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval))
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1967,plain,
    ( c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_Ts_H____,tc_List_Olist(tc_Type_Oty))
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f1965]) ).

fof(f2092,plain,
    spl0_282,
    inference(avatar_split_clause,[],[f535,f2090]) ).

fof(f2090,plain,
    ( spl0_282
  <=> ! [X21,X28,X29,X11,X26,X27,X22,X13,X33] :
        ( X21 = X26
        | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f535,axiom,
    ! [X21,X28,X29,X11,X26,X27,X22,X13,X33] :
      ( X21 = X26
      | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).

fof(f2088,plain,
    spl0_281,
    inference(avatar_split_clause,[],[f534,f2086]) ).

fof(f2086,plain,
    ( spl0_281
  <=> ! [X28,X29,X33,X11,X13,X21,X27,X22,X26] :
        ( X27 = X33
        | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f534,axiom,
    ! [X21,X28,X29,X11,X26,X27,X22,X13,X33] :
      ( X27 = X33
      | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).

fof(f2084,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f533,f2082]) ).

fof(f2082,plain,
    ( spl0_280
  <=> ! [X28,X21,X29,X11,X13,X33,X27,X22,X26] :
        ( X11 = X28
        | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f533,axiom,
    ! [X21,X28,X29,X11,X26,X27,X22,X13,X33] :
      ( X11 = X28
      | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).

fof(f2080,plain,
    spl0_279,
    inference(avatar_split_clause,[],[f532,f2078]) ).

fof(f2078,plain,
    ( spl0_279
  <=> ! [X28,X21,X33,X11,X13,X29,X27,X22,X26] :
        ( X22 = X29
        | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f532,axiom,
    ! [X21,X28,X29,X11,X26,X27,X22,X13,X33] :
      ( X22 = X29
      | c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OTryCatch(X21,X33,X11,X22,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).

fof(f2076,plain,
    ( spl0_278
    | ~ spl0_221
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f1933,f1879,f1720,f2074]) ).

fof(f1720,plain,
    ( spl0_221
  <=> ! [X44,X41,X42,X13,X40,X33,X43] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OClass(X33),X13) = hAPP(X44,X33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f1933,plain,
    ( ! [X0,X5] : hAPP(X5,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0))) = hAPP(X5,X0)
    | ~ spl0_221
    | ~ spl0_251 ),
    inference(forward_demodulation,[],[f1929,f1721]) ).

fof(f1721,plain,
    ( ! [X40,X41,X44,X42,X43,X33,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OClass(X33),X13) = hAPP(X44,X33)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f1929,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : hAPP(X5,c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0))) = c_Type_Oty_Oty__case(X1,X2,X3,X4,X5,c_Type_Oty_OClass(X0),X6)
    | ~ spl0_221
    | ~ spl0_251 ),
    inference(superposition,[],[f1721,f1880]) ).

fof(f2072,plain,
    spl0_277,
    inference(avatar_split_clause,[],[f296,f2070]) ).

fof(f2070,plain,
    ( spl0_277
  <=> ! [X7,X38,X9,X10,X20,X6,X30] :
        ( c_WellType_OWT(X6,X30,X38,X10)
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f296,axiom,
    ! [X38,X10,X6,X9,X7,X30,X20] :
      ( c_WellType_OWT(X6,X30,X38,X10)
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OTryCatch(X38,X7,X9,X20,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).

fof(f2068,plain,
    spl0_276,
    inference(avatar_split_clause,[],[f286,f2066]) ).

fof(f2066,plain,
    ( spl0_276
  <=> ! [X21,X29,X73,X74,X26,X16,X15,X22,X13] :
        ( X21 = X26
        | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f286,axiom,
    ! [X21,X73,X29,X26,X16,X15,X22,X13,X74] :
      ( X21 = X26
      | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).

fof(f2064,plain,
    spl0_275,
    inference(avatar_split_clause,[],[f285,f2062]) ).

fof(f2062,plain,
    ( spl0_275
  <=> ! [X74,X16,X13,X21,X22,X29,X73,X15,X26] :
        ( X15 = X73
        | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f285,axiom,
    ! [X21,X73,X29,X26,X16,X15,X22,X13,X74] :
      ( X15 = X73
      | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).

fof(f2060,plain,
    spl0_274,
    inference(avatar_split_clause,[],[f284,f2058]) ).

fof(f2058,plain,
    ( spl0_274
  <=> ! [X15,X73,X13,X21,X22,X29,X74,X16,X26] :
        ( X16 = X74
        | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f284,axiom,
    ! [X21,X73,X29,X26,X16,X15,X22,X74,X13] :
      ( X16 = X74
      | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).

fof(f2056,plain,
    spl0_273,
    inference(avatar_split_clause,[],[f283,f2054]) ).

fof(f2054,plain,
    ( spl0_273
  <=> ! [X15,X16,X73,X13,X21,X29,X74,X22,X26] :
        ( X22 = X29
        | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f283,axiom,
    ! [X21,X29,X73,X26,X16,X15,X22,X13,X74] :
      ( X22 = X29
      | c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).

fof(f2052,plain,
    spl0_272,
    inference(avatar_split_clause,[],[f261,f2050]) ).

fof(f2050,plain,
    ( spl0_272
  <=> ! [X10,X6,X87,X2,X30] :
        ( ~ c_WellType_OWT(X6,X30,X2,X10)
        | c_WellType_OWT(X6,X87,X2,X10)
        | ~ c_Map_Omap__le(X30,X87,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f261,axiom,
    ! [X2,X10,X6,X87,X30] :
      ( ~ c_WellType_OWT(X6,X30,X2,X10)
      | c_WellType_OWT(X6,X87,X2,X10)
      | ~ c_Map_Omap__le(X30,X87,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).

fof(f2048,plain,
    spl0_271,
    inference(avatar_split_clause,[],[f180,f2046]) ).

fof(f2046,plain,
    ( spl0_271
  <=> ! [X59,X60,X13,X61,X24] : c_Fun_Ofun__upd(X60,X61,c_Option_Ooption_OSome(X24,X59),X13,tc_Option_Ooption(X59)) != c_COMBK(c_Option_Ooption_ONone(X59),tc_Option_Ooption(X59),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f180,axiom,
    ! [X59,X24,X60,X61,X13] : c_Fun_Ofun__upd(X60,X61,c_Option_Ooption_OSome(X24,X59),X13,tc_Option_Ooption(X59)) != c_COMBK(c_Option_Ooption_ONone(X59),tc_Option_Ooption(X59),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upd__nonempty_0) ).

fof(f2044,plain,
    spl0_270,
    inference(avatar_split_clause,[],[f126,f2042]) ).

fof(f2042,plain,
    ( spl0_270
  <=> ! [X17,X13,X0,X6,X10] :
        ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
        | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f126,axiom,
    ! [X10,X0,X6,X17,X13] :
      ( c_Objects_Otypeof__h(X0,X17) != c_Option_Ooption_OSome(X10,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typeof__conf_0) ).

fof(f2040,plain,
    spl0_269,
    inference(avatar_split_clause,[],[f125,f2038]) ).

fof(f2038,plain,
    ( spl0_269
  <=> ! [X6,X2,X8,X7] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f125,axiom,
    ! [X2,X8,X6,X7] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OCast(X7,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCastThrow_0) ).

fof(f2036,plain,
    spl0_268,
    inference(avatar_split_clause,[],[f124,f2034]) ).

fof(f2034,plain,
    ( spl0_268
  <=> ! [X20,X2,X8,X6] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f124,axiom,
    ! [X2,X8,X6,X20] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X20,tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OSeqThrow_0) ).

fof(f2030,plain,
    spl0_267,
    inference(avatar_split_clause,[],[f120,f2028]) ).

fof(f2028,plain,
    ( spl0_267
  <=> ! [X6,X2,X9,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OLAss(X9,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f120,axiom,
    ! [X2,X8,X6,X9] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OLAss(X9,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OLAssThrow_0) ).

fof(f2025,plain,
    spl0_266,
    inference(avatar_split_clause,[],[f662,f2023]) ).

fof(f662,axiom,
    ! [X24] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X24),v_T_H____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1968,plain,
    ( spl0_265
    | ~ spl0_243
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f1957,f1892,f1822,f1965]) ).

fof(f1822,plain,
    ( spl0_243
  <=> c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Ts_H____,v_Ts____,tc_Type_Oty,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1892,plain,
    ( spl0_254
  <=> ! [X59,X13,X63,X6,X65] :
        ( ~ c_List_Olist__all2(X6,X63,X65,X13,X59)
        | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1957,plain,
    ( c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_Ts_H____,tc_List_Olist(tc_Type_Oty))
    | ~ spl0_243
    | ~ spl0_254 ),
    inference(resolution,[],[f1893,f1824]) ).

fof(f1824,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Ts_H____,v_Ts____,tc_Type_Oty,tc_Type_Oty)
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f1822]) ).

fof(f1893,plain,
    ( ! [X65,X59,X6,X63,X13] :
        ( ~ c_List_Olist__all2(X6,X63,X65,X13,X59)
        | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59)) )
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f1892]) ).

fof(f1950,plain,
    spl0_264,
    inference(avatar_split_clause,[],[f671,f1948]) ).

fof(f1948,plain,
    ( spl0_264
  <=> ! [X2,X18,X17,X0,X6,X10,X19,X30] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAss(X2,X18,X19,X17,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f671,plain,
    ! [X2,X10,X0,X18,X6,X19,X17,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAss(X2,X18,X19,X17,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f348,axiom,
    ! [X2,X10,X0,X18,X6,X19,X17,X30] :
      ( c_Type_Oty_OVoid = X10
      | c_Type_Oty_OVoid = X10
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OFAss(X2,X18,X19,X17,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).

fof(f1946,plain,
    spl0_263,
    inference(avatar_split_clause,[],[f581,f1944]) ).

fof(f1944,plain,
    ( spl0_263
  <=> ! [X6,X30,X0,X10,X2,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | c_WellTypeRT_OWTrt(X6,X1,X30,X2,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f581,axiom,
    ! [X2,X10,X0,X1,X6,X30] :
      ( ~ c_Objects_Ohext(X0,X1)
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
      | c_WellTypeRT_OWTrt(X6,X1,X30,X2,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).

fof(f1942,plain,
    spl0_262,
    inference(avatar_split_clause,[],[f566,f1940]) ).

fof(f566,axiom,
    ! [X47,X69,X24,X13] : c_List_Oappend(c_List_Olist_OCons(X24,X47,X13),X69,X13) = c_List_Olist_OCons(X24,c_List_Oappend(X47,X69,X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).

fof(f1938,plain,
    spl0_261,
    inference(avatar_split_clause,[],[f563,f1936]) ).

fof(f1936,plain,
    ( spl0_261
  <=> ! [X59,X11,X40,X13,X41,X33] : hAPP(hAPP(X41,X11),X33) = c_List_Olist_Olist__case(X40,X41,c_List_Olist_OCons(X11,X33,X59),X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f563,axiom,
    ! [X40,X41,X59,X11,X13,X33] : hAPP(hAPP(X41,X11),X33) = c_List_Olist_Olist__case(X40,X41,c_List_Olist_OCons(X11,X33,X59),X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I5_J_0) ).

fof(f1918,plain,
    spl0_260,
    inference(avatar_split_clause,[],[f553,f1916]) ).

fof(f553,axiom,
    ! [X63,X92,X13,X100] : c_List_Oappend(X63,c_List_Oappend(X100,X92,X13),X13) = c_List_Oappend(c_List_Oappend(X63,X100,X13),X92,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).

fof(f1914,plain,
    spl0_259,
    inference(avatar_split_clause,[],[f529,f1912]) ).

fof(f1912,plain,
    ( spl0_259
  <=> ! [X59,X57,X13,X93,X62,X24] :
        ( X24 = X93
        | hAPP(X62,X93) = hAPP(c_Fun_Ofun__upd(X62,X24,X57,X13,X59),X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f529,axiom,
    ! [X59,X57,X62,X24,X13,X93] :
      ( X24 = X93
      | hAPP(X62,X93) = hAPP(c_Fun_Ofun__upd(X62,X24,X57,X13,X59),X93) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).

fof(f1910,plain,
    spl0_258,
    inference(avatar_split_clause,[],[f449,f1908]) ).

fof(f1908,plain,
    ( spl0_258
  <=> ! [X24,X13,X63,X6] :
        ( ~ hBOOL(hAPP(X6,X24))
        | ~ c_List_Olist__all(X6,X63,X13)
        | c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f449,axiom,
    ! [X6,X63,X24,X13] :
      ( ~ hBOOL(hAPP(X6,X24))
      | ~ c_List_Olist__all(X6,X63,X13)
      | c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_2) ).

fof(f1906,plain,
    spl0_257,
    inference(avatar_split_clause,[],[f435,f1904]) ).

fof(f1904,plain,
    ( spl0_257
  <=> ! [X13,X63,X6,X65] :
        ( ~ c_List_Olist__all(X6,X63,X13)
        | ~ c_List_Olist__all(X6,X65,X13)
        | c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f435,axiom,
    ! [X65,X6,X63,X13] :
      ( ~ c_List_Olist__all(X6,X63,X13)
      | ~ c_List_Olist__all(X6,X65,X13)
      | c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_2) ).

fof(f1902,plain,
    spl0_256,
    inference(avatar_split_clause,[],[f380,f1900]) ).

fof(f1900,plain,
    ( spl0_256
  <=> ! [X31,X32,X0,X6,X30,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | c_WellTypeRT_OWTrts(X6,X1,X30,X31,X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f380,axiom,
    ! [X31,X0,X1,X6,X32,X30] :
      ( ~ c_Objects_Ohext(X0,X1)
      | ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
      | c_WellTypeRT_OWTrts(X6,X1,X30,X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrts__hext__mono_0) ).

fof(f1898,plain,
    spl0_255,
    inference(avatar_split_clause,[],[f375,f1896]) ).

fof(f1896,plain,
    ( spl0_255
  <=> ! [X38,X10,X20,X6,X2,X30] :
        ( c_WellType_OWT(X6,X30,X2,c_Type_Oty_OBoolean)
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f375,axiom,
    ! [X2,X38,X10,X6,X30,X20] :
      ( c_WellType_OWT(X6,X30,X2,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCond(X2,X38,X20,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_0) ).

fof(f1894,plain,
    spl0_254,
    inference(avatar_split_clause,[],[f299,f1892]) ).

fof(f299,axiom,
    ! [X65,X59,X6,X63,X13] :
      ( ~ c_List_Olist__all2(X6,X63,X65,X13,X59)
      | c_Nat_Osize__class_Osize(X63,tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X65,tc_List_Olist(X59)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__def_0) ).

fof(f1890,plain,
    spl0_253,
    inference(avatar_split_clause,[],[f260,f1888]) ).

fof(f1888,plain,
    ( spl0_253
  <=> ! [X85,X59,X13,X84,X86] :
        ( ~ c_Map_Omap__le(X84,X86,X13,X59)
        | ~ c_Map_Omap__le(X86,X85,X13,X59)
        | c_Map_Omap__le(X84,X85,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f260,axiom,
    ! [X59,X86,X84,X85,X13] :
      ( ~ c_Map_Omap__le(X84,X86,X13,X59)
      | ~ c_Map_Omap__le(X86,X85,X13,X59)
      | c_Map_Omap__le(X84,X85,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__trans_0) ).

fof(f1886,plain,
    spl0_252,
    inference(avatar_split_clause,[],[f80,f1884]) ).

fof(f1884,plain,
    ( spl0_252
  <=> ! [X6,X2,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f80,axiom,
    ! [X2,X8,X6] : c_SmallStep_Oredp(X6,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OThrowThrow_0) ).

fof(f1881,plain,
    ( spl0_251
    | ~ spl0_60
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f1874,f1831,f940,f1879]) ).

fof(f940,plain,
    ( spl0_60
  <=> ! [X13,X6,X10] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),X10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1831,plain,
    ( spl0_245
  <=> ! [X13,X7,X6,X10] :
        ( c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X10)) = X10
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_OClass(X7)),X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1874,plain,
    ( ! [X0] : c_Type_Oty_OClass(X0) = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(c_Type_Oty_OClass(X0)))
    | ~ spl0_60
    | ~ spl0_245 ),
    inference(resolution,[],[f1832,f941]) ).

fof(f941,plain,
    ( ! [X10,X6,X13] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),X10))
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1832,plain,
    ( ! [X10,X6,X7,X13] :
        ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_OClass(X7)),X10))
        | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X10)) = X10 )
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1831]) ).

fof(f1867,plain,
    ( spl0_250
    | ~ spl0_175
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1664,f1619,f1469,f1865]) ).

fof(f1865,plain,
    ( spl0_250
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Progress_OWTrt_H(X0,X1,X2,X3,X4)
        | ~ c_WellType_OWT(X0,X2,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f1469,plain,
    ( spl0_175
  <=> ! [X10,X0,X6,X2,X30] :
        ( ~ c_WellType_OWT(X6,X30,X2,X10)
        | c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1619,plain,
    ( spl0_203
  <=> ! [X6,X10,X0,X30,X2] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | c_Progress_OWTrt_H(X6,X0,X30,X2,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f1664,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Progress_OWTrt_H(X0,X1,X2,X3,X4)
        | ~ c_WellType_OWT(X0,X2,X3,X4) )
    | ~ spl0_175
    | ~ spl0_203 ),
    inference(resolution,[],[f1620,f1470]) ).

fof(f1470,plain,
    ( ! [X2,X10,X0,X6,X30] :
        ( c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | ~ c_WellType_OWT(X6,X30,X2,X10) )
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1469]) ).

fof(f1620,plain,
    ( ! [X2,X10,X0,X6,X30] :
        ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
        | c_Progress_OWTrt_H(X6,X0,X30,X2,X10) )
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f1855,plain,
    ( spl0_249
    | ~ spl0_142
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1634,f1511,f1332,f1853]) ).

fof(f1853,plain,
    ( spl0_249
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Progress_OWTrts_H(X0,X1,X2,X3,X4)
        | ~ c_WellType_OWTs(X0,X2,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f1332,plain,
    ( spl0_142
  <=> ! [X31,X0,X6,X32,X30] :
        ( ~ c_WellType_OWTs(X6,X30,X31,X32)
        | c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1511,plain,
    ( spl0_177
  <=> ! [X31,X0,X6,X30,X32] :
        ( ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | c_Progress_OWTrts_H(X6,X0,X30,X31,X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1634,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Progress_OWTrts_H(X0,X1,X2,X3,X4)
        | ~ c_WellType_OWTs(X0,X2,X3,X4) )
    | ~ spl0_142
    | ~ spl0_177 ),
    inference(resolution,[],[f1512,f1333]) ).

fof(f1333,plain,
    ( ! [X31,X0,X6,X32,X30] :
        ( c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | ~ c_WellType_OWTs(X6,X30,X31,X32) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1512,plain,
    ( ! [X31,X0,X6,X32,X30] :
        ( ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
        | c_Progress_OWTrts_H(X6,X0,X30,X31,X32) )
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1846,plain,
    spl0_248,
    inference(avatar_split_clause,[],[f668,f1843]) ).

fof(f668,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T_H____)),
    inference(definition_unfolding,[],[f624,f644]) ).

fof(f624,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_H_HsubT_0) ).

fof(f1841,plain,
    spl0_247,
    inference(avatar_split_clause,[],[f650,f1839]) ).

fof(f1839,plain,
    ( spl0_247
  <=> ! [X59,X58,X11,X13,X28,X109] :
        ( X11 = X28
        | c_Pair(X11,X58,X13,X59) != c_Pair(X28,X109,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f650,axiom,
    ! [X28,X58,X59,X11,X109,X13] :
      ( X11 = X28
      | c_Pair(X11,X58,X13,X59) != c_Pair(X28,X109,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

fof(f1837,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f649,f1835]) ).

fof(f1835,plain,
    ( spl0_246
  <=> ! [X59,X11,X58,X13,X28,X109] :
        ( X58 = X109
        | c_Pair(X11,X58,X13,X59) != c_Pair(X28,X109,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f649,axiom,
    ! [X58,X28,X59,X109,X11,X13] :
      ( X58 = X109
      | c_Pair(X11,X58,X13,X59) != c_Pair(X28,X109,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

fof(f1833,plain,
    spl0_245,
    inference(avatar_split_clause,[],[f642,f1831]) ).

fof(f642,axiom,
    ! [X10,X6,X7,X13] :
      ( c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X10)) = X10
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_OClass(X7)),X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Class__widen_0) ).

fof(f1829,plain,
    spl0_244,
    inference(avatar_split_clause,[],[f640,f1827]) ).

fof(f1827,plain,
    ( spl0_244
  <=> ! [X6,X19,X10,X0,X30,X2] :
        ( c_Type_Oty_OClass(X19) = X10
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f640,axiom,
    ! [X2,X10,X0,X19,X6,X30] :
      ( c_Type_Oty_OClass(X19) = X10
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_0) ).

fof(f1825,plain,
    spl0_243,
    inference(avatar_split_clause,[],[f639,f1822]) ).

fof(f639,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Ts_H____,v_Ts____,tc_Type_Oty,tc_Type_Oty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subs_0) ).

fof(f1820,plain,
    spl0_242,
    inference(avatar_split_clause,[],[f634,f1817]) ).

fof(f1817,plain,
    ( spl0_242
  <=> c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,c_List_Omap(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),v_vs____,tc_Value_Oval,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_Ts_H____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f634,axiom,
    c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,c_List_Omap(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),v_vs____,tc_Value_Oval,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_Ts_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wtes_0) ).

fof(f1815,plain,
    spl0_241,
    inference(avatar_split_clause,[],[f520,f1813]) ).

fof(f1813,plain,
    ( spl0_241
  <=> ! [X55,X13,X22,X29,X67,X21,X26] :
        ( X21 = X26
        | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f520,axiom,
    ! [X21,X29,X26,X55,X22,X67,X13] :
      ( X21 = X26
      | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).

fof(f1811,plain,
    ( spl0_240
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1323,f1233,f860,f1809]) ).

fof(f1809,plain,
    ( spl0_240
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( ~ hBOOL(X2)
        | c_in(X1,c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1323,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ hBOOL(X2)
        | c_in(X1,c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X5) )
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(superposition,[],[f861,f1234]) ).

fof(f1807,plain,
    spl0_239,
    inference(avatar_split_clause,[],[f519,f1805]) ).

fof(f1805,plain,
    ( spl0_239
  <=> ! [X55,X13,X21,X29,X67,X22,X26] :
        ( X22 = X29
        | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f519,axiom,
    ! [X21,X29,X55,X26,X22,X67,X13] :
      ( X22 = X29
      | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).

fof(f1803,plain,
    spl0_238,
    inference(avatar_split_clause,[],[f518,f1801]) ).

fof(f1801,plain,
    ( spl0_238
  <=> ! [X55,X13,X21,X22,X29,X67,X26] :
        ( X55 = X67
        | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f518,axiom,
    ! [X21,X29,X55,X26,X22,X67,X13] :
      ( X55 = X67
      | c_Expr_Oexp_OCond(X21,X22,X55,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).

fof(f1799,plain,
    spl0_237,
    inference(avatar_split_clause,[],[f517,f1797]) ).

fof(f1797,plain,
    ( spl0_237
  <=> ! [X34,X11,X14,X13,X12,X28,X68] :
        ( X11 = X28
        | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f517,axiom,
    ! [X28,X11,X68,X14,X34,X12,X13] :
      ( X11 = X28
      | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_0) ).

fof(f1795,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f516,f1793]) ).

fof(f1793,plain,
    ( spl0_236
  <=> ! [X11,X34,X13,X14,X12,X28,X68] :
        ( X34 = X68
        | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f516,axiom,
    ! [X28,X11,X68,X14,X34,X12,X13] :
      ( X34 = X68
      | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_1) ).

fof(f1791,plain,
    spl0_235,
    inference(avatar_split_clause,[],[f515,f1789]) ).

fof(f1789,plain,
    ( spl0_235
  <=> ! [X11,X34,X13,X14,X12,X28,X68] :
        ( X12 = X14
        | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f515,axiom,
    ! [X28,X11,X68,X14,X34,X12,X13] :
      ( X12 = X14
      | c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_2) ).

fof(f1787,plain,
    spl0_234,
    inference(avatar_split_clause,[],[f401,f1785]) ).

fof(f1785,plain,
    ( spl0_234
  <=> ! [X18,X11,X17,X6,X10,X19,X30] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OFAss(X11,X18,X19,X17,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f401,axiom,
    ! [X10,X11,X18,X6,X19,X17,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OFAss(X11,X18,X19,X17,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I8_J_0) ).

fof(f1783,plain,
    spl0_233,
    inference(avatar_split_clause,[],[f364,f1781]) ).

fof(f1781,plain,
    ( spl0_233
  <=> ! [X74,X13,X14,X12,X16,X73,X15] :
        ( X16 = X74
        | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f364,axiom,
    ! [X73,X16,X14,X15,X12,X74,X13] :
      ( X16 = X74
      | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).

fof(f1779,plain,
    spl0_232,
    inference(avatar_split_clause,[],[f363,f1777]) ).

fof(f1777,plain,
    ( spl0_232
  <=> ! [X74,X13,X14,X12,X16,X73,X15] :
        ( X15 = X73
        | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f363,axiom,
    ! [X73,X16,X14,X15,X12,X13,X74] :
      ( X15 = X73
      | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).

fof(f1775,plain,
    spl0_231,
    inference(avatar_split_clause,[],[f362,f1773]) ).

fof(f1773,plain,
    ( spl0_231
  <=> ! [X15,X73,X13,X14,X12,X74,X16] :
        ( X12 = X14
        | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f362,axiom,
    ! [X73,X16,X14,X15,X12,X13,X74] :
      ( X12 = X14
      | c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).

fof(f1771,plain,
    spl0_230,
    inference(avatar_split_clause,[],[f319,f1769]) ).

fof(f1769,plain,
    ( spl0_230
  <=> ! [X6,X20,X17,X8] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X20,tc_List_Olist(tc_String_Ochar)),X8,X20,X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f319,axiom,
    ! [X8,X6,X17,X20] : c_SmallStep_Oredp(X6,c_Expr_Oexp_OSeq(hAPP(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),X17),X20,tc_List_Olist(tc_String_Ochar)),X8,X20,X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_ORedSeq_0) ).

fof(f1764,plain,
    spl0_229,
    inference(avatar_split_clause,[],[f282,f1762]) ).

fof(f1762,plain,
    ( spl0_229
  <=> ! [X15,X73,X13,X14,X12,X74,X16] :
        ( X12 = X14
        | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f282,axiom,
    ! [X73,X16,X14,X15,X12,X13,X74] :
      ( X12 = X14
      | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).

fof(f1760,plain,
    spl0_228,
    inference(avatar_split_clause,[],[f281,f1758]) ).

fof(f1758,plain,
    ( spl0_228
  <=> ! [X74,X13,X14,X12,X16,X73,X15] :
        ( X15 = X73
        | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f281,axiom,
    ! [X73,X16,X14,X15,X12,X13,X74] :
      ( X15 = X73
      | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).

fof(f1756,plain,
    spl0_227,
    inference(avatar_split_clause,[],[f280,f1754]) ).

fof(f1754,plain,
    ( spl0_227
  <=> ! [X74,X13,X14,X12,X16,X73,X15] :
        ( X16 = X74
        | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f280,axiom,
    ! [X73,X16,X14,X15,X12,X74,X13] :
      ( X16 = X74
      | c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).

fof(f1752,plain,
    spl0_226,
    inference(avatar_split_clause,[],[f221,f1750]) ).

fof(f1750,plain,
    ( spl0_226
  <=> ! [X24,X13,X63,X6] :
        ( hBOOL(hAPP(X6,X24))
        | c_List_Olist_ONil(X13) = c_List_OtakeWhile(X6,c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f221,axiom,
    ! [X6,X63,X24,X13] :
      ( hBOOL(hAPP(X6,X24))
      | c_List_Olist_ONil(X13) = c_List_OtakeWhile(X6,c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_1) ).

fof(f1748,plain,
    spl0_225,
    inference(avatar_split_clause,[],[f42,f1746]) ).

fof(f42,axiom,
    ! [X2,X6,X7,X30] :
      ( ~ c_WellType_OWT(X6,X30,X2,c_Type_Oty_OClass(X7))
      | c_WellType_OWT(X6,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTThrow_0) ).

fof(f1734,plain,
    ( spl0_224
    | ~ spl0_34
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1645,f1527,f832,f1732]) ).

fof(f1732,plain,
    ( spl0_224
  <=> ! [X2,X0,X1] :
        ( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f832,plain,
    ( spl0_34
  <=> ! [X13,X63] : c_List_Oappend(X63,c_List_Olist_ONil(X13),X13) = X63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1527,plain,
    ( spl0_181
  <=> ! [X13,X63,X69,X65] :
        ( X65 = X69
        | c_List_Oappend(X65,X63,X13) != c_List_Oappend(X69,X63,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1645,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
        | X0 = X2 )
    | ~ spl0_34
    | ~ spl0_181 ),
    inference(superposition,[],[f1528,f833]) ).

fof(f833,plain,
    ( ! [X63,X13] : c_List_Oappend(X63,c_List_Olist_ONil(X13),X13) = X63
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f1528,plain,
    ( ! [X65,X69,X63,X13] :
        ( c_List_Oappend(X65,X63,X13) != c_List_Oappend(X69,X63,X13)
        | X65 = X69 )
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1527]) ).

fof(f1730,plain,
    spl0_223,
    inference(avatar_split_clause,[],[f641,f1728]) ).

fof(f1728,plain,
    ( spl0_223
  <=> ! [X6,X10,X0,X30,X7] :
        ( c_Type_Oty_OClass(X7) = X10
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f641,axiom,
    ! [X10,X0,X6,X7,X30] :
      ( c_Type_Oty_OClass(X7) = X10
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_0) ).

fof(f1726,plain,
    spl0_222,
    inference(avatar_split_clause,[],[f601,f1724]) ).

fof(f1724,plain,
    ( spl0_222
  <=> ! [X44,X41,X42,X13,X40,X33,X43] : hAPP(X44,X33) = c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OClass(X33),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f601,axiom,
    ! [X40,X41,X44,X42,X43,X33,X13] : hAPP(X44,X33) = c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OClass(X33),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I5_J_0) ).

fof(f1722,plain,
    spl0_221,
    inference(avatar_split_clause,[],[f599,f1720]) ).

fof(f599,axiom,
    ! [X40,X41,X44,X42,X43,X33,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OClass(X33),X13) = hAPP(X44,X33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I26_J_0) ).

fof(f1718,plain,
    spl0_220,
    inference(avatar_split_clause,[],[f590,f1716]) ).

fof(f1716,plain,
    ( spl0_220
  <=> ! [X44,X41,X42,X13,X40,X43,X103] : hAPP(X44,X103) = c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OAddr(X103),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f590,axiom,
    ! [X40,X41,X44,X42,X103,X43,X13] : hAPP(X44,X103) = c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OAddr(X103),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Orecs_I5_J_0) ).

fof(f1714,plain,
    spl0_219,
    inference(avatar_split_clause,[],[f586,f1712]) ).

fof(f1712,plain,
    ( spl0_219
  <=> ! [X44,X41,X42,X13,X40,X43,X103] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OAddr(X103),X13) = hAPP(X44,X103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f586,axiom,
    ! [X40,X41,X44,X42,X43,X103,X13] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OAddr(X103),X13) = hAPP(X44,X103),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I28_J_0) ).

fof(f1710,plain,
    spl0_218,
    inference(avatar_split_clause,[],[f494,f1708]) ).

fof(f1708,plain,
    ( spl0_218
  <=> ! [X44,X41,X42,X13,X64,X40,X43] : hAPP(X43,X64) = c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OIntg(X64),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f494,axiom,
    ! [X40,X41,X44,X42,X43,X64,X13] : hAPP(X43,X64) = c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OIntg(X64),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I27_J_0) ).

fof(f1706,plain,
    spl0_217,
    inference(avatar_split_clause,[],[f432,f1704]) ).

fof(f1704,plain,
    ( spl0_217
  <=> ! [X59,X57,X13,X62,X24] :
        ( hAPP(X62,X24) = X57
        | c_Fun_Ofun__upd(X62,X24,X57,X13,X59) != X62 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f432,axiom,
    ! [X59,X57,X62,X24,X13] :
      ( hAPP(X62,X24) = X57
      | c_Fun_Ofun__upd(X62,X24,X57,X13,X59) != X62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).

fof(f1702,plain,
    spl0_216,
    inference(avatar_split_clause,[],[f341,f1700]) ).

fof(f1700,plain,
    ( spl0_216
  <=> ! [X59,X13,X77,X62] :
        ( X62 = X77
        | ~ c_Map_Omap__le(X62,X77,X13,X59)
        | ~ c_Map_Omap__le(X77,X62,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f341,axiom,
    ! [X59,X62,X77,X13] :
      ( X62 = X77
      | ~ c_Map_Omap__le(X62,X77,X13,X59)
      | ~ c_Map_Omap__le(X77,X62,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).

fof(f1698,plain,
    spl0_215,
    inference(avatar_split_clause,[],[f294,f1696]) ).

fof(f1696,plain,
    ( spl0_215
  <=> ! [X6,X10,X0,X9,X2,X30] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f294,axiom,
    ! [X2,X10,X0,X6,X9,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_Progress_OWTrt_H(X6,X0,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__elim__cases_0) ).

fof(f1694,plain,
    spl0_214,
    inference(avatar_split_clause,[],[f274,f1692]) ).

fof(f1692,plain,
    ( spl0_214
  <=> ! [X17,X10,X0,X6,X30,X2] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OLAss(X17,X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f274,axiom,
    ! [X2,X10,X0,X6,X17,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_WellTypeRT_OWTrt(X6,X0,X30,c_Expr_Oexp_OLAss(X17,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_0) ).

fof(f1690,plain,
    ( spl0_213
    | ~ spl0_33
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1635,f1523,f828,f1688]) ).

fof(f1688,plain,
    ( spl0_213
  <=> ! [X2,X0,X1] :
        ( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f1523,plain,
    ( spl0_180
  <=> ! [X13,X63,X69,X65] :
        ( X65 = X69
        | c_List_Oappend(X63,X65,X13) != c_List_Oappend(X63,X69,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1635,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
        | X1 = X2 )
    | ~ spl0_33
    | ~ spl0_180 ),
    inference(superposition,[],[f1524,f829]) ).

fof(f1524,plain,
    ( ! [X65,X69,X63,X13] :
        ( c_List_Oappend(X63,X65,X13) != c_List_Oappend(X63,X69,X13)
        | X65 = X69 )
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1523]) ).

fof(f1686,plain,
    spl0_212,
    inference(avatar_split_clause,[],[f266,f1684]) ).

fof(f1684,plain,
    ( spl0_212
  <=> ! [X15,X29,X28,X13,X21,X16,X27,X22,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f266,axiom,
    ! [X21,X28,X29,X26,X16,X27,X15,X22,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).

fof(f1682,plain,
    spl0_211,
    inference(avatar_split_clause,[],[f264,f1680]) ).

fof(f1680,plain,
    ( spl0_211
  <=> ! [X6,X19,X10,X30,X2] :
        ( c_Type_Oty_OClass(X19) = X10
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f264,axiom,
    ! [X2,X10,X19,X6,X30] :
      ( c_Type_Oty_OClass(X19) = X10
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OCast(X19,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_0) ).

fof(f1678,plain,
    spl0_210,
    inference(avatar_split_clause,[],[f215,f1676]) ).

fof(f215,axiom,
    ! [X10,X56,X6,X19,X7,X35,X32,X13] :
      ( c_Decl_Ois__class(X6,X7,X13)
      | ~ c_TypeRel_OMethod(X6,X7,X35,X32,X10,X56,X19,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__method__is__class_0) ).

fof(f1674,plain,
    spl0_209,
    inference(avatar_split_clause,[],[f183,f1672]) ).

fof(f1672,plain,
    ( spl0_209
  <=> ! [X44,X41,X42,X13,X64,X40,X43] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OIntg(X64),X13) = hAPP(X43,X64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f183,axiom,
    ! [X40,X41,X44,X42,X43,X64,X13] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OIntg(X64),X13) = hAPP(X43,X64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Orecs_I4_J_0) ).

fof(f1670,plain,
    spl0_208,
    inference(avatar_split_clause,[],[f181,f1668]) ).

fof(f181,axiom,
    ! [X59,X62,X63,X13] : c_Nat_Osize__class_Osize(c_List_Omap(X62,X63,X59,X13),tc_List_Olist(X13)) = c_Nat_Osize__class_Osize(X63,tc_List_Olist(X59)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__map_0) ).

fof(f1656,plain,
    ( ~ spl0_207
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1605,f1515,f816,f1653]) ).

fof(f1653,plain,
    ( spl0_207
  <=> c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f816,plain,
    ( spl0_30
  <=> ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1515,plain,
    ( spl0_178
  <=> ! [X1] : c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1605,plain,
    ( c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) != c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty)
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(superposition,[],[f1516,f817]) ).

fof(f817,plain,
    ( ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1516,plain,
    ( ! [X1] : c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f1633,plain,
    spl0_206,
    inference(avatar_split_clause,[],[f652,f1631]) ).

fof(f1631,plain,
    ( spl0_206
  <=> ! [X11,X13,X33,X27,X28] :
        ( X11 = X28
        | c_List_Olist_OCons(X28,X27,X13) != c_List_Olist_OCons(X11,X33,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f652,axiom,
    ! [X28,X11,X27,X13,X33] :
      ( X11 = X28
      | c_List_Olist_OCons(X28,X27,X13) != c_List_Olist_OCons(X11,X33,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f1629,plain,
    spl0_205,
    inference(avatar_split_clause,[],[f651,f1627]) ).

fof(f1627,plain,
    ( spl0_205
  <=> ! [X33,X11,X13,X27,X28] :
        ( X27 = X33
        | c_List_Olist_OCons(X28,X27,X13) != c_List_Olist_OCons(X11,X33,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f651,axiom,
    ! [X28,X11,X27,X13,X33] :
      ( X27 = X33
      | c_List_Olist_OCons(X28,X27,X13) != c_List_Olist_OCons(X11,X33,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).

fof(f1625,plain,
    spl0_204,
    inference(avatar_split_clause,[],[f579,f1623]) ).

fof(f1623,plain,
    ( spl0_204
  <=> ! [X6,X10,X0,X30,X2] :
        ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
        | c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f579,axiom,
    ! [X2,X10,X0,X6,X30] :
      ( ~ c_Progress_OWTrt_H(X6,X0,X30,X2,X10)
      | c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

fof(f1621,plain,
    spl0_203,
    inference(avatar_split_clause,[],[f578,f1619]) ).

fof(f578,axiom,
    ! [X2,X10,X0,X6,X30] :
      ( ~ c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10)
      | c_Progress_OWTrt_H(X6,X0,X30,X2,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

fof(f1617,plain,
    spl0_202,
    inference(avatar_split_clause,[],[f558,f1615]) ).

fof(f1615,plain,
    ( spl0_202
  <=> ! [X13,X37,X88] :
        ( X37 = X88
        | hAPP(c_Expr_Oexp_OVal(X13),X37) != hAPP(c_Expr_Oexp_OVal(X13),X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f558,axiom,
    ! [X37,X88,X13] :
      ( X37 = X88
      | hAPP(c_Expr_Oexp_OVal(X13),X37) != hAPP(c_Expr_Oexp_OVal(X13),X88) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).

fof(f1613,plain,
    spl0_201,
    inference(avatar_split_clause,[],[f503,f1611]) ).

fof(f1611,plain,
    ( spl0_201
  <=> ! [X15,X16,X13,X12,X29,X27,X28,X26] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f503,axiom,
    ! [X28,X29,X26,X16,X27,X15,X12,X13] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I194_J_0) ).

fof(f1609,plain,
    spl0_200,
    inference(avatar_split_clause,[],[f470,f1607]) ).

fof(f1607,plain,
    ( spl0_200
  <=> ! [X6,X7,X30,X10] :
        ( c_Type_Oty_OClass(X7) = X10
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f470,axiom,
    ! [X10,X6,X7,X30] :
      ( c_Type_Oty_OClass(X7) = X10
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Onew(X7,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_0) ).

fof(f1601,plain,
    spl0_199,
    inference(avatar_split_clause,[],[f460,f1599]) ).

fof(f1599,plain,
    ( spl0_199
  <=> ! [X28,X55,X13,X21,X29,X27,X22,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OCond(X21,X22,X55,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f460,axiom,
    ! [X21,X28,X29,X26,X55,X27,X22,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OCond(X21,X22,X55,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).

fof(f1597,plain,
    spl0_198,
    inference(avatar_split_clause,[],[f459,f1595]) ).

fof(f1595,plain,
    ( spl0_198
  <=> ! [X13,X0,X17,X6] :
        ( c_Value_Oval_ONull = X17
        | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),c_Type_Oty_ONT)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f459,axiom,
    ! [X0,X6,X17,X13] :
      ( c_Value_Oval_ONull = X17
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),X17),c_Type_Oty_ONT)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__NT_0) ).

fof(f1593,plain,
    spl0_197,
    inference(avatar_split_clause,[],[f426,f1591]) ).

fof(f1591,plain,
    ( spl0_197
  <=> ! [X13,X21,X29,X22,X26] :
        ( X22 = X29
        | c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f426,axiom,
    ! [X21,X29,X26,X22,X13] :
      ( X22 = X29
      | c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).

fof(f1589,plain,
    spl0_196,
    inference(avatar_split_clause,[],[f425,f1587]) ).

fof(f1587,plain,
    ( spl0_196
  <=> ! [X13,X22,X29,X21,X26] :
        ( X21 = X26
        | c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f425,axiom,
    ! [X21,X29,X26,X22,X13] :
      ( X21 = X26
      | c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).

fof(f1585,plain,
    spl0_195,
    inference(avatar_split_clause,[],[f414,f1583]) ).

fof(f1583,plain,
    ( spl0_195
  <=> ! [X15,X74,X21,X13,X14,X16,X73,X22] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f414,axiom,
    ! [X21,X73,X16,X14,X15,X22,X13,X74] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).

fof(f1581,plain,
    spl0_194,
    inference(avatar_split_clause,[],[f413,f1579]) ).

fof(f1579,plain,
    ( spl0_194
  <=> ! [X15,X16,X13,X21,X22,X29,X67,X26] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f413,axiom,
    ! [X21,X29,X26,X16,X15,X22,X67,X13] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).

fof(f1577,plain,
    spl0_193,
    inference(avatar_split_clause,[],[f411,f1575]) ).

fof(f1575,plain,
    ( spl0_193
  <=> ! [X33,X13,X14,X12,X27] :
        ( X12 = X14
        | c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCast(X27,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f411,axiom,
    ! [X14,X27,X12,X13,X33] :
      ( X12 = X14
      | c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCast(X27,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).

fof(f1573,plain,
    spl0_192,
    inference(avatar_split_clause,[],[f410,f1571]) ).

fof(f1571,plain,
    ( spl0_192
  <=> ! [X33,X13,X14,X12,X27] :
        ( X27 = X33
        | c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCast(X27,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f410,axiom,
    ! [X27,X14,X12,X13,X33] :
      ( X27 = X33
      | c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCast(X27,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).

fof(f1569,plain,
    spl0_191,
    inference(avatar_split_clause,[],[f358,f1567]) ).

fof(f1567,plain,
    ( spl0_191
  <=> ! [X28,X11,X34,X13,X12,X27,X29,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OBlock(X11,X34,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f358,axiom,
    ! [X28,X29,X11,X26,X27,X34,X12,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OBlock(X11,X34,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I205_J_0) ).

fof(f1565,plain,
    spl0_190,
    inference(avatar_split_clause,[],[f355,f1563]) ).

fof(f1563,plain,
    ( spl0_190
  <=> ! [X11,X14,X13,X12,X28] :
        ( X11 = X28
        | c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f355,axiom,
    ! [X28,X11,X14,X12,X13] :
      ( X11 = X28
      | c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).

fof(f1561,plain,
    ( spl0_189
    | ~ spl0_30
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1501,f1482,f816,f1559]) ).

fof(f1559,plain,
    ( spl0_189
  <=> ! [X1] : c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) != c_Objects_Otypeof__h(X1,c_Value_Oval_OUnit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1482,plain,
    ( spl0_176
  <=> ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1501,plain,
    ( ! [X1] : c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) != c_Objects_Otypeof__h(X1,c_Value_Oval_OUnit)
    | ~ spl0_30
    | ~ spl0_176 ),
    inference(superposition,[],[f1483,f817]) ).

fof(f1483,plain,
    ( ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1557,plain,
    spl0_188,
    inference(avatar_split_clause,[],[f354,f1555]) ).

fof(f1555,plain,
    ( spl0_188
  <=> ! [X11,X13,X14,X12,X28] :
        ( X12 = X14
        | c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f354,axiom,
    ! [X28,X11,X14,X12,X13] :
      ( X12 = X14
      | c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).

fof(f1553,plain,
    spl0_187,
    inference(avatar_split_clause,[],[f351,f1551]) ).

fof(f1551,plain,
    ( spl0_187
  <=> ! [X6,X10,X9,X2,X30] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f351,axiom,
    ! [X2,X10,X6,X9,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(X9,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I1_J_0) ).

fof(f1549,plain,
    spl0_186,
    inference(avatar_split_clause,[],[f340,f1547]) ).

fof(f1547,plain,
    ( spl0_186
  <=> ! [X15,X74,X16,X13,X12,X29,X73,X26] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f340,axiom,
    ! [X73,X29,X26,X16,X15,X12,X13,X74] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).

fof(f1545,plain,
    spl0_185,
    inference(avatar_split_clause,[],[f339,f1543]) ).

fof(f1543,plain,
    ( spl0_185
  <=> ! [X59,X13,X62,X24] : c_Map_Omap__le(c_Fun_Ofun__upd(X62,X24,c_Option_Ooption_ONone(X59),X13,tc_Option_Ooption(X59)),X62,X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f339,axiom,
    ! [X59,X62,X24,X13] : c_Map_Omap__le(c_Fun_Ofun__upd(X62,X24,c_Option_Ooption_ONone(X59),X13,tc_Option_Ooption(X59)),X62,X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_upd__None__map__le_0) ).

fof(f1541,plain,
    spl0_184,
    inference(avatar_split_clause,[],[f276,f1539]) ).

fof(f1539,plain,
    ( spl0_184
  <=> ! [X13,X59,X62,X63] :
        ( c_List_Olist_ONil(X59) = X63
        | c_List_Omap(X62,X63,X59,X13) != c_List_Olist_ONil(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f276,axiom,
    ! [X59,X62,X63,X13] :
      ( c_List_Olist_ONil(X59) = X63
      | c_List_Omap(X62,X63,X59,X13) != c_List_Olist_ONil(X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_0) ).

fof(f1537,plain,
    spl0_183,
    inference(avatar_split_clause,[],[f243,f1535]) ).

fof(f1535,plain,
    ( spl0_183
  <=> ! [X15,X21,X13,X14,X22,X16,X28,X68] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f243,axiom,
    ! [X21,X28,X68,X16,X14,X15,X22,X13] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I173_J_0) ).

fof(f1533,plain,
    spl0_182,
    inference(avatar_split_clause,[],[f230,f1531]) ).

fof(f1531,plain,
    ( spl0_182
  <=> ! [X28,X29,X13,X12,X16,X27,X15,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OFAcc(X12,X15,X16,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f230,axiom,
    ! [X28,X29,X26,X16,X27,X15,X12,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OFAcc(X12,X15,X16,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).

fof(f1529,plain,
    spl0_181,
    inference(avatar_split_clause,[],[f201,f1527]) ).

fof(f201,axiom,
    ! [X65,X69,X63,X13] :
      ( X65 = X69
      | c_List_Oappend(X65,X63,X13) != c_List_Oappend(X69,X63,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_0) ).

fof(f1525,plain,
    spl0_180,
    inference(avatar_split_clause,[],[f200,f1523]) ).

fof(f200,axiom,
    ! [X65,X69,X63,X13] :
      ( X65 = X69
      | c_List_Oappend(X63,X65,X13) != c_List_Oappend(X63,X69,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_0) ).

fof(f1521,plain,
    spl0_179,
    inference(avatar_split_clause,[],[f15,f1519]) ).

fof(f1519,plain,
    ( spl0_179
  <=> ! [X31,X0,X6,X30,X32] :
        ( ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
        | c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f15,axiom,
    ! [X31,X0,X6,X32,X30] :
      ( ~ c_Progress_OWTrts_H(X6,X0,X30,X31,X32)
      | c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wts_H__wts_0) ).

fof(f1517,plain,
    ( spl0_178
    | ~ spl0_31
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1498,f1482,f820,f1515]) ).

fof(f820,plain,
    ( spl0_31
  <=> ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1498,plain,
    ( ! [X1] : c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull)
    | ~ spl0_31
    | ~ spl0_176 ),
    inference(superposition,[],[f1483,f821]) ).

fof(f821,plain,
    ( ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f1513,plain,
    spl0_177,
    inference(avatar_split_clause,[],[f14,f1511]) ).

fof(f14,axiom,
    ! [X31,X0,X6,X32,X30] :
      ( ~ c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32)
      | c_Progress_OWTrts_H(X6,X0,X30,X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wts__wts_H_0) ).

fof(f1484,plain,
    ( spl0_5
    | spl0_176
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1443,f1352,f820,f1482,f710]) ).

fof(f710,plain,
    ( spl0_5
  <=> c_Type_Oty_ONT = c_Type_Oty_OVoid ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1352,plain,
    ( spl0_147
  <=> ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) != c_Option_Ooption_OSome(X1,tc_Type_Oty)
        | c_Type_Oty_ONT = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1443,plain,
    ( ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Objects_Otypeof__h(X1,c_Value_Oval_ONull)
        | c_Type_Oty_ONT = c_Type_Oty_OVoid )
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(superposition,[],[f1353,f821]) ).

fof(f1353,plain,
    ( ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) != c_Option_Ooption_OSome(X1,tc_Type_Oty)
        | c_Type_Oty_ONT = X1 )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1471,plain,
    spl0_175,
    inference(avatar_split_clause,[],[f580,f1469]) ).

fof(f580,axiom,
    ! [X2,X10,X0,X6,X30] :
      ( ~ c_WellType_OWT(X6,X30,X2,X10)
      | c_WellTypeRT_OWTrt(X6,X0,X30,X2,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).

fof(f1467,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f574,f1465]) ).

fof(f1465,plain,
    ( spl0_174
  <=> ! [X24,X57,X13,X63] :
        ( ~ c_List_OListMem(X24,X63,X13)
        | c_List_OListMem(X24,c_List_Olist_OCons(X57,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f574,axiom,
    ! [X57,X63,X24,X13] :
      ( ~ c_List_OListMem(X24,X63,X13)
      | c_List_OListMem(X24,c_List_Olist_OCons(X57,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert_0) ).

fof(f1463,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f573,f1461]) ).

fof(f1461,plain,
    ( spl0_173
  <=> ! [X24,X13,X63,X6] :
        ( hBOOL(hAPP(X6,X24))
        | ~ c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f573,axiom,
    ! [X6,X63,X24,X13] :
      ( hBOOL(hAPP(X6,X24))
      | ~ c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_0) ).

fof(f1459,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f572,f1457]) ).

fof(f1457,plain,
    ( spl0_172
  <=> ! [X24,X13,X63,X6] :
        ( c_List_Olist__all(X6,X63,X13)
        | ~ c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f572,axiom,
    ! [X6,X63,X24,X13] :
      ( c_List_Olist__all(X6,X63,X13)
      | ~ c_List_Olist__all(X6,c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_1) ).

fof(f1455,plain,
    spl0_171,
    inference(avatar_split_clause,[],[f570,f1453]) ).

fof(f1453,plain,
    ( spl0_171
  <=> ! [X13,X24,X63] :
        ( ~ class_Orderings_Olinorder(X13)
        | c_List_Olinorder__class_Osorted(X63,X13)
        | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f570,axiom,
    ! [X63,X24,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | c_List_Olinorder__class_Osorted(X63,X13)
      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).

fof(f1451,plain,
    spl0_170,
    inference(avatar_split_clause,[],[f557,f1449]) ).

fof(f1449,plain,
    ( spl0_170
  <=> ! [X13,X11,X63] :
        ( ~ class_Orderings_Olinorder(X13)
        | ~ c_List_Olinorder__class_Osorted(X63,X13)
        | c_List_Olinorder__class_Osorted(c_List_Oremove1(X11,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f557,axiom,
    ! [X11,X63,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | ~ c_List_Olinorder__class_Osorted(X63,X13)
      | c_List_Olinorder__class_Osorted(c_List_Oremove1(X11,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__remove1_0) ).

fof(f1447,plain,
    spl0_169,
    inference(avatar_split_clause,[],[f549,f1445]) ).

fof(f1445,plain,
    ( spl0_169
  <=> ! [X13,X21,X22,X29,X27,X28,X26] : c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f549,axiom,
    ! [X21,X28,X29,X26,X27,X22,X13] : c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).

fof(f1438,plain,
    spl0_168,
    inference(avatar_split_clause,[],[f542,f1436]) ).

fof(f1436,plain,
    ( spl0_168
  <=> ! [X13,X63,X6,X65] :
        ( c_List_Olist__all(X6,X65,X13)
        | ~ c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f542,axiom,
    ! [X65,X6,X63,X13] :
      ( c_List_Olist__all(X6,X65,X13)
      | ~ c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_1) ).

fof(f1434,plain,
    spl0_167,
    inference(avatar_split_clause,[],[f541,f1432]) ).

fof(f1432,plain,
    ( spl0_167
  <=> ! [X13,X63,X6,X65] :
        ( c_List_Olist__all(X6,X63,X13)
        | ~ c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f541,axiom,
    ! [X65,X6,X63,X13] :
      ( c_List_Olist__all(X6,X63,X13)
      | ~ c_List_Olist__all(X6,c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_0) ).

fof(f1430,plain,
    spl0_166,
    inference(avatar_split_clause,[],[f502,f1428]) ).

fof(f1428,plain,
    ( spl0_166
  <=> ! [X13,X65,X63] :
        ( ~ class_Orderings_Olinorder(X13)
        | c_List_Olinorder__class_Osorted(X63,X13)
        | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f502,axiom,
    ! [X65,X63,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | c_List_Olinorder__class_Osorted(X63,X13)
      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_0) ).

fof(f1426,plain,
    spl0_165,
    inference(avatar_split_clause,[],[f501,f1424]) ).

fof(f1424,plain,
    ( spl0_165
  <=> ! [X13,X65,X63] :
        ( ~ class_Orderings_Olinorder(X13)
        | c_List_Olinorder__class_Osorted(X65,X13)
        | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f501,axiom,
    ! [X65,X63,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | c_List_Olinorder__class_Osorted(X65,X13)
      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_1) ).

fof(f1422,plain,
    spl0_164,
    inference(avatar_split_clause,[],[f473,f1420]) ).

fof(f1420,plain,
    ( spl0_164
  <=> ! [X13,X59,X6,X63] :
        ( c_List_Olist_ONil(X13) = X63
        | ~ c_List_Olist__all2(X6,X63,c_List_Olist_ONil(X59),X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f473,axiom,
    ! [X59,X6,X63,X13] :
      ( c_List_Olist_ONil(X13) = X63
      | ~ c_List_Olist__all2(X6,X63,c_List_Olist_ONil(X59),X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil2_0) ).

fof(f1418,plain,
    spl0_163,
    inference(avatar_split_clause,[],[f472,f1416]) ).

fof(f1416,plain,
    ( spl0_163
  <=> ! [X13,X65,X6,X59] :
        ( c_List_Olist_ONil(X59) = X65
        | ~ c_List_Olist__all2(X6,c_List_Olist_ONil(X13),X65,X13,X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f472,axiom,
    ! [X65,X59,X6,X13] :
      ( c_List_Olist_ONil(X59) = X65
      | ~ c_List_Olist__all2(X6,c_List_Olist_ONil(X13),X65,X13,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil_0) ).

fof(f1414,plain,
    spl0_162,
    inference(avatar_split_clause,[],[f444,f1412]) ).

fof(f1412,plain,
    ( spl0_162
  <=> ! [X10] :
        ( c_Type_Ois__refT(X10)
        | c_Type_Oty_OInteger = X10
        | c_Type_Oty_OBoolean = X10
        | c_Type_Oty_OVoid = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f444,axiom,
    ! [X10] :
      ( c_Type_Ois__refT(X10)
      | c_Type_Oty_OInteger = X10
      | c_Type_Oty_OBoolean = X10
      | c_Type_Oty_OVoid = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__refTE_0) ).

fof(f1410,plain,
    spl0_161,
    inference(avatar_split_clause,[],[f440,f1408]) ).

fof(f1408,plain,
    ( spl0_161
  <=> ! [X74,X13,X14,X12,X16,X73,X15] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f440,axiom,
    ! [X73,X16,X14,X15,X12,X13,X74] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).

fof(f1406,plain,
    spl0_160,
    inference(avatar_split_clause,[],[f437,f1404]) ).

fof(f1404,plain,
    ( spl0_160
  <=> ! [X11,X13,X12,X29,X27,X28,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OLAss(X11,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f437,axiom,
    ! [X28,X29,X11,X26,X27,X12,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OLAss(X11,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).

fof(f1402,plain,
    spl0_159,
    inference(avatar_split_clause,[],[f429,f1400]) ).

fof(f1400,plain,
    ( spl0_159
  <=> ! [X15,X16,X13,X21,X29,X22,X26] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f429,axiom,
    ! [X21,X29,X26,X16,X15,X22,X13] : c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).

fof(f1398,plain,
    ( spl0_158
    | ~ spl0_31
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1313,f1181,f820,f1396]) ).

fof(f1396,plain,
    ( spl0_158
  <=> ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Option_Ooption_OSome(X1,tc_Type_Oty)
        | c_Type_Oty_OVoid = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1181,plain,
    ( spl0_110
  <=> ! [X11,X28,X13] :
        ( X11 = X28
        | c_Option_Ooption_OSome(X28,X13) != c_Option_Ooption_OSome(X11,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1313,plain,
    ( ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Option_Ooption_OSome(X1,tc_Type_Oty)
        | c_Type_Oty_OVoid = X1 )
    | ~ spl0_31
    | ~ spl0_110 ),
    inference(superposition,[],[f1182,f821]) ).

fof(f1182,plain,
    ( ! [X28,X11,X13] :
        ( c_Option_Ooption_OSome(X28,X13) != c_Option_Ooption_OSome(X11,X13)
        | X11 = X28 )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1394,plain,
    spl0_157,
    inference(avatar_split_clause,[],[f394,f1392]) ).

fof(f1392,plain,
    ( spl0_157
  <=> ! [X15,X16,X13,X12,X29,X67,X26] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f394,axiom,
    ! [X29,X26,X16,X15,X12,X67,X13] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).

fof(f1390,plain,
    spl0_156,
    inference(avatar_split_clause,[],[f391,f1388]) ).

fof(f1388,plain,
    ( spl0_156
  <=> ! [X13,X6,X63] :
        ( ~ class_Orderings_Olinorder(X13)
        | ~ c_List_Olinorder__class_Osorted(X63,X13)
        | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X6,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f391,axiom,
    ! [X6,X63,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | ~ c_List_Olinorder__class_Osorted(X63,X13)
      | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X6,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__takeWhile_0) ).

fof(f1386,plain,
    spl0_155,
    inference(avatar_split_clause,[],[f371,f1384]) ).

fof(f1384,plain,
    ( spl0_155
  <=> ! [X15,X13,X14,X12,X16,X28,X68] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f371,axiom,
    ! [X28,X68,X16,X14,X15,X12,X13] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I159_J_0) ).

fof(f1382,plain,
    spl0_154,
    inference(avatar_split_clause,[],[f357,f1380]) ).

fof(f1380,plain,
    ( spl0_154
  <=> ! [X74,X33,X13,X12,X29,X73,X26] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f357,axiom,
    ! [X73,X29,X26,X12,X13,X33,X74] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).

fof(f1378,plain,
    spl0_153,
    inference(avatar_split_clause,[],[f349,f1376]) ).

fof(f1376,plain,
    ( spl0_153
  <=> ! [X37,X13,X29,X27,X28,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != hAPP(c_Expr_Oexp_OVal(X13),X37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f349,axiom,
    ! [X28,X29,X37,X26,X27,X13] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != hAPP(c_Expr_Oexp_OVal(X13),X37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).

fof(f1374,plain,
    spl0_152,
    inference(avatar_split_clause,[],[f334,f1372]) ).

fof(f1372,plain,
    ( spl0_152
  <=> ! [X33,X13,X12,X29,X27,X28,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OCast(X33,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f334,axiom,
    ! [X28,X29,X26,X27,X12,X13,X33] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_OCast(X33,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).

fof(f1370,plain,
    spl0_151,
    inference(avatar_split_clause,[],[f318,f1368]) ).

fof(f1368,plain,
    ( spl0_151
  <=> ! [X11,X34,X13,X12,X29,X67,X26] : c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f318,axiom,
    ! [X29,X11,X26,X34,X12,X67,X13] : c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I198_J_0) ).

fof(f1366,plain,
    spl0_150,
    inference(avatar_split_clause,[],[f310,f1364]) ).

fof(f1364,plain,
    ( spl0_150
  <=> ! [X13,X65,X63] :
        ( c_List_Olist_ONil(X13) = X65
        | c_List_Oappend(X63,X65,X13) != c_List_Olist_ONil(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f310,axiom,
    ! [X65,X63,X13] :
      ( c_List_Olist_ONil(X13) = X65
      | c_List_Oappend(X63,X65,X13) != c_List_Olist_ONil(X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).

fof(f1362,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f309,f1360]) ).

fof(f1360,plain,
    ( spl0_149
  <=> ! [X13,X65,X63] :
        ( c_List_Olist_ONil(X13) = X63
        | c_List_Oappend(X63,X65,X13) != c_List_Olist_ONil(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f309,axiom,
    ! [X65,X63,X13] :
      ( c_List_Olist_ONil(X13) = X63
      | c_List_Oappend(X63,X65,X13) != c_List_Olist_ONil(X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).

fof(f1358,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f235,f1356]) ).

fof(f1356,plain,
    ( spl0_148
  <=> ! [X74,X13,X29,X73,X26,X37] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f235,axiom,
    ! [X73,X29,X37,X26,X13,X74] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).

fof(f1354,plain,
    ( spl0_147
    | ~ spl0_30
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1312,f1181,f816,f1352]) ).

fof(f1312,plain,
    ( ! [X0,X1] :
        ( c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) != c_Option_Ooption_OSome(X1,tc_Type_Oty)
        | c_Type_Oty_ONT = X1 )
    | ~ spl0_30
    | ~ spl0_110 ),
    inference(superposition,[],[f1182,f817]) ).

fof(f1350,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f234,f1348]) ).

fof(f1348,plain,
    ( spl0_146
  <=> ! [X74,X11,X13,X12,X29,X73,X26] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f234,axiom,
    ! [X73,X11,X29,X26,X12,X13,X74] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).

fof(f1346,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f198,f1344]) ).

fof(f1344,plain,
    ( spl0_145
  <=> ! [X15,X13,X14,X12,X16,X28,X68] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f198,axiom,
    ! [X28,X68,X16,X14,X15,X12,X13] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I184_J_0) ).

fof(f1342,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f197,f1340]) ).

fof(f1340,plain,
    ( spl0_144
  <=> ! [X15,X16,X13,X12,X29,X67,X26] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f197,axiom,
    ! [X29,X26,X16,X15,X12,X67,X13] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I188_J_0) ).

fof(f1338,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f113,f1336]) ).

fof(f1336,plain,
    ( spl0_143
  <=> ! [X6,X2,X30,X10] :
        ( c_Type_Oty_OVoid = X10
        | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f113,axiom,
    ! [X2,X10,X6,X30] :
      ( c_Type_Oty_OVoid = X10
      | ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I4_J_0) ).

fof(f1334,plain,
    spl0_142,
    inference(avatar_split_clause,[],[f18,f1332]) ).

fof(f18,axiom,
    ! [X31,X0,X6,X32,X30] :
      ( ~ c_WellType_OWTs(X6,X30,X31,X32)
      | c_WellTypeRT_OWTrts(X6,X0,X30,X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTs__implies__WTrts_0) ).

fof(f1308,plain,
    spl0_141,
    inference(avatar_split_clause,[],[f666,f1306]) ).

fof(f666,axiom,
    ! [X111,X112,X13] :
      ( X111 = X112
      | ~ hBOOL(hAPP(hAPP(c_fequal(X13),X111),X112)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(f1304,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f636,f1301]) ).

fof(f1301,plain,
    ( spl0_140
  <=> c_Nat_Osize__class_Osize(v_pns____,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f636,axiom,
    c_Nat_Osize__class_Osize(v_pns____,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedCall_I3_J_0) ).

fof(f1299,plain,
    ( spl0_139
    | ~ spl0_40
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1114,f1081,f860,f1297]) ).

fof(f1297,plain,
    ( spl0_139
  <=> ! [X2,X0,X1,X3] : c_in(c_Type_Oty_OClass(X0),hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1081,plain,
    ( spl0_93
  <=> ! [X13,X7,X6] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),c_Type_Oty_OClass(X7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1114,plain,
    ( ! [X2,X3,X0,X1] : c_in(c_Type_Oty_OClass(X0),hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3)
    | ~ spl0_40
    | ~ spl0_93 ),
    inference(resolution,[],[f1082,f861]) ).

fof(f1082,plain,
    ( ! [X6,X7,X13] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),c_Type_Oty_OClass(X7)))
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1295,plain,
    spl0_138,
    inference(avatar_split_clause,[],[f539,f1293]) ).

fof(f1293,plain,
    ( spl0_138
  <=> ! [X11,X13,X12,X29,X67,X26] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f539,axiom,
    ! [X29,X11,X26,X12,X67,X13] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).

fof(f1291,plain,
    spl0_137,
    inference(avatar_split_clause,[],[f514,f1289]) ).

fof(f1289,plain,
    ( spl0_137
  <=> ! [X44,X41,X40,X13,X42,X43] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OVoid,X13) = X40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f514,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OVoid,X13) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I1_J_0) ).

fof(f1287,plain,
    spl0_136,
    inference(avatar_split_clause,[],[f512,f1285]) ).

fof(f1285,plain,
    ( spl0_136
  <=> ! [X41,X42,X13,X44,X40,X43] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OBoolean,X13) = X41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f512,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OBoolean,X13) = X41,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I2_J_0) ).

fof(f1283,plain,
    spl0_135,
    inference(avatar_split_clause,[],[f506,f1281]) ).

fof(f1281,plain,
    ( spl0_135
  <=> ! [X37,X13,X14,X28,X68] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f506,axiom,
    ! [X28,X37,X68,X14,X13] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I82_J_0) ).

fof(f1279,plain,
    spl0_134,
    inference(avatar_split_clause,[],[f500,f1277]) ).

fof(f1277,plain,
    ( spl0_134
  <=> ! [X74,X13,X14,X73,X37] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f500,axiom,
    ! [X73,X37,X14,X13,X74] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).

fof(f1275,plain,
    spl0_133,
    inference(avatar_split_clause,[],[f499,f1273]) ).

fof(f1273,plain,
    ( spl0_133
  <=> ! [X41,X42,X13,X44,X40,X43] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_ONull,X13) = X41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f499,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_ONull,X13) = X41,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I25_J_0) ).

fof(f1271,plain,
    spl0_132,
    inference(avatar_split_clause,[],[f498,f1269]) ).

fof(f1269,plain,
    ( spl0_132
  <=> ! [X74,X13,X14,X73,X37] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f498,axiom,
    ! [X73,X37,X14,X13,X74] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I76_J_0) ).

fof(f1267,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f491,f1265]) ).

fof(f1265,plain,
    ( spl0_131
  <=> ! [X13,X65,X63] :
        ( c_List_Olist_ONil(X13) = X63
        | c_List_Oappend(X63,X65,X13) != X65 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f491,axiom,
    ! [X65,X63,X13] :
      ( c_List_Olist_ONil(X13) = X63
      | c_List_Oappend(X63,X65,X13) != X65 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).

fof(f1263,plain,
    spl0_130,
    inference(avatar_split_clause,[],[f488,f1261]) ).

fof(f1261,plain,
    ( spl0_130
  <=> ! [X13,X65,X63] :
        ( c_List_Olist_ONil(X13) = X65
        | c_List_Oappend(X63,X65,X13) != X63 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f488,axiom,
    ! [X65,X63,X13] :
      ( c_List_Olist_ONil(X13) = X65
      | c_List_Oappend(X63,X65,X13) != X63 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__self__conv_0) ).

fof(f1259,plain,
    spl0_129,
    inference(avatar_split_clause,[],[f484,f1257]) ).

fof(f1257,plain,
    ( spl0_129
  <=> ! [X44,X41,X40,X13,X42,X43] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OVoid,X13) = X40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f484,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OVoid,X13) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I22_J_0) ).

fof(f1255,plain,
    ( spl0_128
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1112,f1064,f860,f1253]) ).

fof(f1253,plain,
    ( spl0_128
  <=> ! [X2,X0,X1,X3] : c_in(c_Type_Oty_ONT,hAPP(c_Conform_Oconf(X0,X1,X2),c_Value_Oval_ONull),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1064,plain,
    ( spl0_89
  <=> ! [X13,X0,X6] : hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),c_Type_Oty_ONT)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1112,plain,
    ( ! [X2,X3,X0,X1] : c_in(c_Type_Oty_ONT,hAPP(c_Conform_Oconf(X0,X1,X2),c_Value_Oval_ONull),X3)
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(resolution,[],[f1065,f861]) ).

fof(f1065,plain,
    ( ! [X0,X6,X13] : hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),c_Type_Oty_ONT))
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1251,plain,
    spl0_127,
    inference(avatar_split_clause,[],[f480,f1249]) ).

fof(f1249,plain,
    ( spl0_127
  <=> ! [X74,X33,X13,X14,X12,X73] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f480,axiom,
    ! [X73,X14,X12,X13,X33,X74] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).

fof(f1247,plain,
    spl0_126,
    inference(avatar_split_clause,[],[f471,f1245]) ).

fof(f1245,plain,
    ( spl0_126
  <=> ! [X44,X41,X40,X13,X42,X43] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OUnit,X13) = X40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f471,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Value_Oval_Oval__case(X40,X41,X42,X43,X44,c_Value_Oval_OUnit,X13) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I24_J_0) ).

fof(f1243,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f469,f1241]) ).

fof(f1241,plain,
    ( spl0_125
  <=> ! [X13,X59,X62,X63] :
        ( c_List_Odistinct(X63,X59)
        | ~ c_List_Odistinct(c_List_Omap(X62,X63,X59,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f469,axiom,
    ! [X59,X62,X63,X13] :
      ( c_List_Odistinct(X63,X59)
      | ~ c_List_Odistinct(c_List_Omap(X62,X63,X59,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__map_0) ).

fof(f1239,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f468,f1237]) ).

fof(f1237,plain,
    ( spl0_124
  <=> ! [X13,X77,X59] : c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(X59),tc_Option_Ooption(X59),X13),X77,X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f468,axiom,
    ! [X59,X77,X13] : c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(X59),tc_Option_Ooption(X59),X13),X77,X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__empty_0) ).

fof(f1235,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f465,f1233]) ).

fof(f465,axiom,
    ! [X78,X57,X62,X24,X13] : hAPP(c_Fun_Ofun__upd(X62,X24,X57,X13,X78),X24) = X57,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).

fof(f1231,plain,
    spl0_122,
    inference(avatar_split_clause,[],[f462,f1229]) ).

fof(f462,axiom,
    ! [X59,X62,X24,X13] : c_Fun_Ofun__upd(X62,X24,hAPP(X62,X24),X59,X13) = X62,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).

fof(f1227,plain,
    spl0_121,
    inference(avatar_split_clause,[],[f405,f1225]) ).

fof(f1225,plain,
    ( spl0_121
  <=> ! [X41,X42,X13,X44,X40,X43] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OBoolean,X13) = X41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f405,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OBoolean,X13) = X41,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I23_J_0) ).

fof(f1223,plain,
    spl0_120,
    inference(avatar_split_clause,[],[f399,f1221]) ).

fof(f1221,plain,
    ( spl0_120
  <=> ! [X33,X13,X29,X27,X28,X26] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_Onew(X33,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f399,axiom,
    ! [X28,X29,X26,X27,X13,X33] : c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) != c_Expr_Oexp_Onew(X33,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I42_J_0) ).

fof(f1219,plain,
    spl0_119,
    inference(avatar_split_clause,[],[f395,f1217]) ).

fof(f1217,plain,
    ( spl0_119
  <=> ! [X74,X33,X13,X29,X73,X26] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f395,axiom,
    ! [X73,X29,X26,X13,X33,X74] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OFAss(X26,X73,X74,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).

fof(f1215,plain,
    spl0_118,
    inference(avatar_split_clause,[],[f392,f1213]) ).

fof(f1213,plain,
    ( spl0_118
  <=> ! [X13,X27,X33] :
        ( X27 = X33
        | c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_Onew(X27,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f392,axiom,
    ! [X27,X13,X33] :
      ( X27 = X33
      | c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_Onew(X27,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).

fof(f1211,plain,
    ( spl0_117
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f945,f892,f860,f1209]) ).

fof(f1209,plain,
    ( spl0_117
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ hBOOL(X0)
        | c_in(X3,c_COMBK(X0,X1,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f892,plain,
    ( spl0_48
  <=> ! [X59,X13,X6,X79] : hAPP(c_COMBK(X6,X13,X59),X79) = X6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f945,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ hBOOL(X0)
        | c_in(X3,c_COMBK(X0,X1,X2),X4) )
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(superposition,[],[f861,f893]) ).

fof(f893,plain,
    ( ! [X59,X6,X79,X13] : hAPP(c_COMBK(X6,X13,X59),X79) = X6
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f1207,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f369,f1205]) ).

fof(f1205,plain,
    ( spl0_116
  <=> ! [X33,X13,X14,X12,X28,X68] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f369,axiom,
    ! [X28,X68,X14,X12,X13,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I59_J_0) ).

fof(f1203,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f367,f1201]) ).

fof(f1201,plain,
    ( spl0_115
  <=> ! [X44,X41,X42,X13,X40,X43] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OInteger,X13) = X42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f367,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_OInteger,X13) = X42,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I3_J_0) ).

fof(f1199,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f361,f1197]) ).

fof(f1197,plain,
    ( spl0_114
  <=> ! [X13,X65,X63] :
        ( X63 = X65
        | ~ c_List_Olist__all2(c_fequal(X13),X63,X65,X13,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f361,axiom,
    ! [X65,X63,X13] :
      ( X63 = X65
      | ~ c_List_Olist__all2(c_fequal(X13),X63,X65,X13,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).

fof(f1195,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f350,f1193]) ).

fof(f1193,plain,
    ( spl0_113
  <=> ! [X33,X13,X12,X29,X67,X26] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f350,axiom,
    ! [X29,X26,X12,X67,X13,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).

fof(f1191,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f337,f1189]) ).

fof(f1189,plain,
    ( spl0_112
  <=> ! [X44,X41,X42,X13,X40,X43] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_ONT,X13) = X43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f337,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__rec(X40,X41,X42,X43,X44,c_Type_Oty_ONT,X13) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I4_J_0) ).

fof(f1187,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f317,f1185]) ).

fof(f1185,plain,
    ( spl0_111
  <=> ! [X13,X21,X22,X29,X67,X26] : c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f317,axiom,
    ! [X21,X29,X26,X22,X67,X13] : c_Expr_Oexp_OSeq(X21,X22,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).

fof(f1183,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f291,f1181]) ).

fof(f291,axiom,
    ! [X28,X11,X13] :
      ( X11 = X28
      | c_Option_Ooption_OSome(X28,X13) != c_Option_Ooption_OSome(X11,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Oinject_0) ).

fof(f1179,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f289,f1177]) ).

fof(f1177,plain,
    ( spl0_109
  <=> ! [X11,X34,X13,X12,X29,X26] : c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f289,axiom,
    ! [X29,X11,X26,X34,X12,X13] : c_Expr_Oexp_OBlock(X11,X34,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I196_J_0) ).

fof(f1175,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f278,f1173]) ).

fof(f1173,plain,
    ( spl0_108
  <=> ! [X15,X13,X12,X29,X16,X26] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f278,axiom,
    ! [X29,X26,X16,X15,X12,X13] : c_Expr_Oexp_OFAcc(X12,X15,X16,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).

fof(f1171,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f275,f1169]) ).

fof(f1169,plain,
    ( spl0_107
  <=> ! [X11,X13,X14,X12,X28,X68] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f275,axiom,
    ! [X28,X11,X68,X14,X12,X13] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I142_J_0) ).

fof(f1166,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f263,f1164]) ).

fof(f1164,plain,
    ( spl0_106
  <=> ! [X41,X42,X13,X44,X40,X43] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_ONull,X13) = X41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f263,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_ONull,X13) = X41,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Orecs_I2_J_0) ).

fof(f1162,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f248,f1160]) ).

fof(f1160,plain,
    ( spl0_105
  <=> ! [X37,X13,X29,X67,X26] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f248,axiom,
    ! [X29,X37,X26,X67,X13] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).

fof(f1158,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f238,f1156]) ).

fof(f1156,plain,
    ( spl0_104
  <=> ! [X74,X33,X13,X14,X12,X73] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f238,axiom,
    ! [X73,X14,X12,X13,X33,X74] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).

fof(f1154,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f236,f1152]) ).

fof(f1152,plain,
    ( spl0_103
  <=> ! [X74,X11,X13,X14,X12,X73] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f236,axiom,
    ! [X73,X11,X14,X12,X13,X74] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I140_J_0) ).

fof(f1150,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f216,f1148]) ).

fof(f1148,plain,
    ( spl0_102
  <=> ! [X44,X41,X40,X13,X42,X43] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OUnit,X13) = X40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f216,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Value_Oval_Oval__rec(X40,X41,X42,X43,X44,c_Value_Oval_OUnit,X13) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Orecs_I1_J_0) ).

fof(f1146,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f212,f1144]) ).

fof(f1144,plain,
    ( spl0_101
  <=> ! [X74,X11,X13,X14,X12,X73] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f212,axiom,
    ! [X73,X11,X14,X12,X13,X74] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).

fof(f1142,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f199,f1140]) ).

fof(f1140,plain,
    ( spl0_100
  <=> ! [X15,X13,X12,X29,X16,X26] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f199,axiom,
    ! [X29,X26,X16,X15,X12,X13] : c_Expr_Oexp_OCall(X12,X15,X16,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I186_J_0) ).

fof(f1138,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f187,f1136]) ).

fof(f1136,plain,
    ( spl0_99
  <=> ! [X44,X41,X42,X13,X40,X43] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_ONT,X13) = X43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f187,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_ONT,X13) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I25_J_0) ).

fof(f1134,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f184,f1132]) ).

fof(f1132,plain,
    ( spl0_98
  <=> ! [X44,X41,X42,X13,X40,X43] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OInteger,X13) = X42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f184,axiom,
    ! [X40,X41,X44,X42,X43,X13] : c_Type_Oty_Oty__case(X40,X41,X42,X43,X44,c_Type_Oty_OInteger,X13) = X42,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I24_J_0) ).

fof(f1130,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f93,f1128]) ).

fof(f1128,plain,
    ( spl0_97
  <=> ! [X13,X12,X29,X27,X28,X26] : c_Expr_Oexp_Othrow(X12,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f93,axiom,
    ! [X28,X29,X26,X27,X12,X13] : c_Expr_Oexp_Othrow(X12,X13) != c_Expr_Oexp_OTryCatch(X26,X27,X28,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).

fof(f1126,plain,
    ( spl0_96
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f950,f940,f860,f1124]) ).

fof(f950,plain,
    ( ! [X2,X3,X0,X1] : c_in(X0,hAPP(c_TypeRel_Owiden(X1,X2),X0),X3)
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(resolution,[],[f941,f861]) ).

fof(f1122,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f29,f1120]) ).

fof(f1120,plain,
    ( spl0_95
  <=> ! [X15,X13,X21,X14,X16,X22] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f29,axiom,
    ! [X21,X16,X14,X15,X22,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OFAss(X21,X15,X16,X22,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).

fof(f1118,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f4,f1116]) ).

fof(f1116,plain,
    ( spl0_94
  <=> ! [X13,X12,X14] :
        ( X12 = X14
        | c_Expr_Oexp_Othrow(X12,X13) != c_Expr_Oexp_Othrow(X14,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f4,axiom,
    ! [X14,X12,X13] :
      ( X12 = X14
      | c_Expr_Oexp_Othrow(X12,X13) != c_Expr_Oexp_Othrow(X14,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).

fof(f1083,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f643,f1081]) ).

fof(f643,axiom,
    ! [X6,X7,X13] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),c_Type_Oty_ONT),c_Type_Oty_OClass(X7))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__Class_2) ).

fof(f1079,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f635,f1076]) ).

fof(f635,axiom,
    c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__vs_0) ).

fof(f1074,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f575,f1072]) ).

fof(f1072,plain,
    ( spl0_91
  <=> ! [X13,X24,X63] :
        ( c_List_Odistinct(X63,X13)
        | ~ c_List_Odistinct(c_List_Olist_OCons(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f575,axiom,
    ! [X63,X24,X13] :
      ( c_List_Odistinct(X63,X13)
      | ~ c_List_Odistinct(c_List_Olist_OCons(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).

fof(f1070,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f564,f1068]) ).

fof(f1068,plain,
    ( spl0_90
  <=> ! [X13,X24,X63] : c_List_Oremove1(X24,c_List_Olist_OCons(X24,X63,X13),X13) = X63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f564,axiom,
    ! [X63,X24,X13] : c_List_Oremove1(X24,c_List_Olist_OCons(X24,X63,X13),X13) = X63,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_0) ).

fof(f1066,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f546,f1064]) ).

fof(f546,axiom,
    ! [X0,X6,X13] : hBOOL(hAPP(hAPP(c_Conform_Oconf(X6,X0,X13),c_Value_Oval_ONull),c_Type_Oty_ONT)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__NT_1) ).

fof(f1062,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f545,f1060]) ).

fof(f1060,plain,
    ( spl0_88
  <=> ! [X37,X13,X29,X26] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f545,axiom,
    ! [X29,X37,X26,X13] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).

fof(f1058,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f504,f1056]) ).

fof(f1056,plain,
    ( spl0_87
  <=> ! [X33,X13,X12,X29,X26] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f504,axiom,
    ! [X29,X26,X12,X13,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).

fof(f1054,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f442,f1052]) ).

fof(f1052,plain,
    ( spl0_86
  <=> ! [X13,X6,X63] :
        ( ~ c_List_Odistinct(X63,X13)
        | c_List_Odistinct(c_List_OtakeWhile(X6,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f442,axiom,
    ! [X6,X63,X13] :
      ( ~ c_List_Odistinct(X63,X13)
      | c_List_Odistinct(c_List_OtakeWhile(X6,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__takeWhile_0) ).

fof(f1050,plain,
    ( spl0_85
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f943,f860,f848,f1048]) ).

fof(f848,plain,
    ( spl0_38
  <=> ! [X13,X24] : hBOOL(hAPP(hAPP(c_fequal(X13),X24),X24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f943,plain,
    ( ! [X2,X0,X1] : c_in(X0,hAPP(c_fequal(X1),X0),X2)
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(resolution,[],[f861,f849]) ).

fof(f849,plain,
    ( ! [X24,X13] : hBOOL(hAPP(hAPP(c_fequal(X13),X24),X24))
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1046,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f436,f1044]) ).

fof(f1044,plain,
    ( spl0_84
  <=> ! [X13,X24] :
        ( ~ class_Orderings_Olinorder(X13)
        | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f436,axiom,
    ! [X24,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X24,c_List_Olist_ONil(X13),X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).

fof(f1042,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f430,f1040]) ).

fof(f430,axiom,
    ! [X59,X62,X13] : c_List_Olist_ONil(X13) = c_List_Omap(X62,c_List_Olist_ONil(X59),X59,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).

fof(f1038,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f418,f1036]) ).

fof(f1036,plain,
    ( spl0_82
  <=> ! [X41,X40,X13,X59] : c_List_Olist_Olist__case(X40,X41,c_List_Olist_ONil(X59),X13,X59) = X40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f418,axiom,
    ! [X40,X41,X59,X13] : c_List_Olist_Olist__case(X40,X41,c_List_Olist_ONil(X59),X13,X59) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I4_J_0) ).

fof(f1034,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f412,f1032]) ).

fof(f1032,plain,
    ( spl0_81
  <=> ! [X13,X14,X33,X28,X68] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f412,axiom,
    ! [X28,X68,X14,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OBlock(X28,X68,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I33_J_0) ).

fof(f1030,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f408,f1028]) ).

fof(f1028,plain,
    ( spl0_80
  <=> ! [X59,X13,X56,X76] : c_Map_Omap__upds(X56,c_List_Olist_ONil(X13),X76,X13,X59) = X56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f408,axiom,
    ! [X59,X56,X76,X13] : c_Map_Omap__upds(X56,c_List_Olist_ONil(X13),X76,X13,X59) = X56,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upds__Nil1_0) ).

fof(f1026,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f407,f1024]) ).

fof(f1024,plain,
    ( spl0_79
  <=> ! [X59,X13,X75,X56] : c_Map_Omap__upds(X56,X75,c_List_Olist_ONil(X59),X13,X59) = X56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f407,axiom,
    ! [X59,X56,X13,X75] : c_Map_Omap__upds(X56,X75,c_List_Olist_ONil(X59),X13,X59) = X56,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upds__Nil2_0) ).

fof(f1022,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f404,f1020]) ).

fof(f1020,plain,
    ( spl0_78
  <=> ! [X74,X13,X14,X33,X73] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f404,axiom,
    ! [X73,X14,X13,X33,X74] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OFAcc(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).

fof(f1018,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f403,f1016]) ).

fof(f1016,plain,
    ( spl0_77
  <=> ! [X74,X13,X14,X33,X73] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f403,axiom,
    ! [X73,X14,X13,X33,X74] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCall(X14,X73,X74,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I30_J_0) ).

fof(f1014,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f390,f1012]) ).

fof(f1012,plain,
    ( spl0_76
  <=> ! [X33,X13,X29,X67,X26] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f390,axiom,
    ! [X29,X26,X67,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCond(X26,X29,X67,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I37_J_0) ).

fof(f1010,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f389,f1008]) ).

fof(f1008,plain,
    ( spl0_75
  <=> ! [X37,X13,X14,X28] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OLAss(X28,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f389,axiom,
    ! [X28,X37,X14,X13] : hAPP(c_Expr_Oexp_OVal(X13),X37) != c_Expr_Oexp_OLAss(X28,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).

fof(f1006,plain,
    ( spl0_74
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f853,f820,f1004]) ).

fof(f1004,plain,
    ( spl0_74
  <=> ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) = c_Objects_Otypeof__h(X1,c_Value_Oval_OUnit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f853,plain,
    ( ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) = c_Objects_Otypeof__h(X1,c_Value_Oval_OUnit)
    | ~ spl0_31 ),
    inference(superposition,[],[f821,f821]) ).

fof(f1002,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f381,f1000]) ).

fof(f1000,plain,
    ( spl0_73
  <=> ! [X98,X0,X1] :
        ( ~ c_Objects_Ohext(X0,X1)
        | ~ c_Objects_Ohext(X1,X98)
        | c_Objects_Ohext(X0,X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f381,axiom,
    ! [X0,X1,X98] :
      ( ~ c_Objects_Ohext(X0,X1)
      | ~ c_Objects_Ohext(X1,X98)
      | c_Objects_Ohext(X0,X98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__trans_0) ).

fof(f998,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f322,f996]) ).

fof(f996,plain,
    ( spl0_72
  <=> ! [X13,X24,X63] :
        ( ~ c_List_Odistinct(X63,X13)
        | c_List_Odistinct(c_List_Oremove1(X24,X63,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f322,axiom,
    ! [X63,X24,X13] :
      ( ~ c_List_Odistinct(X63,X13)
      | c_List_Odistinct(c_List_Oremove1(X24,X63,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remove1_0) ).

fof(f994,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f316,f992]) ).

fof(f992,plain,
    ( spl0_71
  <=> ! [X11,X13,X12,X29,X26] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f316,axiom,
    ! [X29,X11,X26,X12,X13] : c_Expr_Oexp_OLAss(X11,X12,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).

fof(f990,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f308,f988]) ).

fof(f988,plain,
    ( spl0_70
  <=> ! [X13,X12,X88,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != hAPP(c_Expr_Oexp_OVal(X13),X88) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f308,axiom,
    ! [X88,X12,X13,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != hAPP(c_Expr_Oexp_OVal(X13),X88),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).

fof(f986,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f226,f984]) ).

fof(f984,plain,
    ( spl0_69
  <=> ! [X33,X13,X14,X12,X28] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f226,axiom,
    ! [X28,X14,X12,X13,X33] : c_Expr_Oexp_OCast(X33,X12,X13) != c_Expr_Oexp_OLAss(X28,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).

fof(f982,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f205,f980]) ).

fof(f980,plain,
    ( spl0_68
  <=> ! [X6,X2,X30,X10] : ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(c_Type_Othis,X2,tc_List_Olist(tc_String_Ochar)),X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f205,axiom,
    ! [X2,X10,X6,X30] : ~ c_WellType_OWT(X6,X30,c_Expr_Oexp_OLAss(c_Type_Othis,X2,tc_List_Olist(tc_String_Ochar)),X10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I1_J_4) ).

fof(f978,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f189,f976]) ).

fof(f976,plain,
    ( spl0_67
  <=> ! [X13,X65,X63] :
        ( c_List_Odistinct(X63,X13)
        | ~ c_List_Odistinct(c_List_Oappend(X63,X65,X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f189,axiom,
    ! [X65,X63,X13] :
      ( c_List_Odistinct(X63,X13)
      | ~ c_List_Odistinct(c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_0) ).

fof(f974,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f188,f972]) ).

fof(f188,axiom,
    ! [X65,X63,X13] :
      ( c_List_Odistinct(X65,X13)
      | ~ c_List_Odistinct(c_List_Oappend(X63,X65,X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_1) ).

fof(f970,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f85,f968]) ).

fof(f968,plain,
    ( spl0_65
  <=> ! [X55,X13,X21,X14,X22] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCond(X21,X22,X55,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f85,axiom,
    ! [X21,X55,X14,X22,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCond(X21,X22,X55,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).

fof(f966,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f32,f964]) ).

fof(f964,plain,
    ( spl0_64
  <=> ! [X13,X14,X12,X16,X15] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OFAcc(X12,X15,X16,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f32,axiom,
    ! [X16,X14,X15,X12,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OFAcc(X12,X15,X16,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).

fof(f962,plain,
    ( spl0_63
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f851,f816,f960]) ).

fof(f960,plain,
    ( spl0_63
  <=> ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) = c_Objects_Otypeof__h(X1,c_Value_Oval_ONull) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f851,plain,
    ( ! [X0,X1] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) = c_Objects_Otypeof__h(X1,c_Value_Oval_ONull)
    | ~ spl0_30 ),
    inference(superposition,[],[f817,f817]) ).

fof(f958,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f23,f956]) ).

fof(f956,plain,
    ( spl0_62
  <=> ! [X13,X14,X12,X16,X15] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCall(X12,X15,X16,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f23,axiom,
    ! [X16,X14,X15,X12,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCall(X12,X15,X16,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I193_J_0) ).

fof(f954,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f19,f952]) ).

fof(f952,plain,
    ( spl0_61
  <=> ! [X11,X34,X13,X14,X12] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OBlock(X11,X34,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f19,axiom,
    ! [X11,X14,X34,X12,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OBlock(X11,X34,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I203_J_0) ).

fof(f942,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f655,f940]) ).

fof(f655,axiom,
    ! [X10,X6,X13] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X6,X13),X10),X10)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f938,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f654,f936]) ).

fof(f654,axiom,
    ! [X27,X33] :
      ( X27 = X33
      | c_Type_Oty_OClass(X27) != c_Type_Oty_OClass(X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).

fof(f934,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f653,f932]) ).

fof(f932,plain,
    ( spl0_58
  <=> ! [X102,X103] :
        ( X102 = X103
        | c_Value_Oval_OAddr(X102) != c_Value_Oval_OAddr(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f653,axiom,
    ! [X102,X103] :
      ( X102 = X103
      | c_Value_Oval_OAddr(X102) != c_Value_Oval_OAddr(X103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I3_J_0) ).

fof(f930,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f617,f928]) ).

fof(f928,plain,
    ( spl0_57
  <=> ! [X13,X6,X63] : c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X63,X63,tc_Type_Oty,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f617,axiom,
    ! [X6,X63,X13] : c_List_Olist__all2(c_TypeRel_Owiden(X6,X13),X63,X63,tc_Type_Oty,tc_Type_Oty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__refl_0) ).

fof(f926,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f527,f924]) ).

fof(f924,plain,
    ( spl0_56
  <=> ! [X64,X91] :
        ( X64 = X91
        | c_Value_Oval_OIntg(X64) != c_Value_Oval_OIntg(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f527,axiom,
    ! [X91,X64] :
      ( X64 = X91
      | c_Value_Oval_OIntg(X64) != c_Value_Oval_OIntg(X91) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I2_J_0) ).

fof(f922,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f526,f920]) ).

fof(f920,plain,
    ( spl0_55
  <=> ! [X13,X59,X6] : c_List_Olist__all2(X6,c_List_Olist_ONil(X13),c_List_Olist_ONil(X59),X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f526,axiom,
    ! [X59,X6,X13] : c_List_Olist__all2(X6,c_List_Olist_ONil(X13),c_List_Olist_ONil(X59),X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil_1) ).

fof(f918,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f497,f916]) ).

fof(f916,plain,
    ( spl0_54
  <=> ! [X13,X6] : c_List_Olist_ONil(X13) = c_List_OtakeWhile(X6,c_List_Olist_ONil(X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f497,axiom,
    ! [X6,X13] : c_List_Olist_ONil(X13) = c_List_OtakeWhile(X6,c_List_Olist_ONil(X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).

fof(f914,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f496,f912]) ).

fof(f912,plain,
    ( spl0_53
  <=> ! [X13,X29,X33,X26] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OSeq(X26,X29,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f496,axiom,
    ! [X29,X26,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OSeq(X26,X29,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).

fof(f910,plain,
    ( spl0_52
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f854,f820,f804,f908]) ).

fof(f908,plain,
    ( spl0_52
  <=> ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Option_Ooption_ONone(tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f804,plain,
    ( spl0_27
  <=> ! [X13,X28] : c_Option_Ooption_ONone(X13) != c_Option_Ooption_OSome(X28,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f854,plain,
    ( ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) != c_Option_Ooption_ONone(tc_Type_Oty)
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(superposition,[],[f805,f821]) ).

fof(f805,plain,
    ( ! [X28,X13] : c_Option_Ooption_ONone(X13) != c_Option_Ooption_OSome(X28,X13)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f906,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f443,f904]) ).

fof(f904,plain,
    ( spl0_51
  <=> ! [X13,X28,X14,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OLAss(X28,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f443,axiom,
    ! [X28,X14,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OLAss(X28,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I25_J_0) ).

fof(f902,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f400,f900]) ).

fof(f900,plain,
    ( spl0_50
  <=> ! [X13,X24] : c_List_Olist_ONil(X13) = c_List_Oremove1(X24,c_List_Olist_ONil(X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f400,axiom,
    ! [X24,X13] : c_List_Olist_ONil(X13) = c_List_Oremove1(X24,c_List_Olist_ONil(X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I1_J_0) ).

fof(f898,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f269,f896]) ).

fof(f896,plain,
    ( spl0_49
  <=> ! [X13,X88,X33] : c_Expr_Oexp_Onew(X33,X13) != hAPP(c_Expr_Oexp_OVal(X13),X88) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f269,axiom,
    ! [X88,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != hAPP(c_Expr_Oexp_OVal(X13),X88),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I19_J_0) ).

fof(f894,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f242,f892]) ).

fof(f242,axiom,
    ! [X59,X6,X79,X13] : hAPP(c_COMBK(X6,X13,X59),X79) = X6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).

fof(f890,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f196,f888]) ).

fof(f888,plain,
    ( spl0_47
  <=> ! [X13,X27,X14,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCast(X27,X14,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f196,axiom,
    ! [X27,X14,X13,X33] : c_Expr_Oexp_Onew(X33,X13) != c_Expr_Oexp_OCast(X27,X14,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).

fof(f886,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f98,f884]) ).

fof(f884,plain,
    ( spl0_46
  <=> ! [X13,X12,X11,X14] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OLAss(X11,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f98,axiom,
    ! [X11,X14,X12,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OLAss(X11,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).

fof(f882,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f71,f880]) ).

fof(f880,plain,
    ( spl0_45
  <=> ! [X53,X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OIntg(X53)) = c_Option_Ooption_OSome(c_Type_Oty_OInteger,tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f71,axiom,
    ! [X0,X53] : c_Objects_Otypeof__h(X0,c_Value_Oval_OIntg(X53)) = c_Option_Ooption_OSome(c_Type_Oty_OInteger,tc_Type_Oty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typeof__h_Osimps_I4_J_0) ).

fof(f878,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f31,f876]) ).

fof(f876,plain,
    ( spl0_44
  <=> ! [X13,X37,X14] : c_Expr_Oexp_Othrow(X14,X13) != hAPP(c_Expr_Oexp_OVal(X13),X37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f31,axiom,
    ! [X37,X14,X13] : c_Expr_Oexp_Othrow(X14,X13) != hAPP(c_Expr_Oexp_OVal(X13),X37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).

fof(f874,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f20,f872]) ).

fof(f872,plain,
    ( spl0_43
  <=> ! [X13,X12,X14,X33] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCast(X33,X12,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f20,axiom,
    ! [X14,X12,X13,X33] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OCast(X33,X12,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).

fof(f870,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f11,f868]) ).

fof(f868,plain,
    ( spl0_42
  <=> ! [X13,X25,X24] :
        ( ~ c_in(X24,X25,X13)
        | hBOOL(hAPP(X25,X24)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f11,axiom,
    ! [X24,X25,X13] :
      ( ~ c_in(X24,X25,X13)
      | hBOOL(hAPP(X25,X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f866,plain,
    ( spl0_41
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f852,f816,f804,f864]) ).

fof(f864,plain,
    ( spl0_41
  <=> ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) != c_Option_Ooption_ONone(tc_Type_Oty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f852,plain,
    ( ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) != c_Option_Ooption_ONone(tc_Type_Oty)
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(superposition,[],[f805,f817]) ).

fof(f862,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f10,f860]) ).

fof(f10,axiom,
    ! [X24,X25,X13] :
      ( ~ hBOOL(hAPP(X25,X24))
      | c_in(X24,X25,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f858,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f8,f856]) ).

fof(f856,plain,
    ( spl0_39
  <=> ! [X13,X22,X21,X14] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OSeq(X21,X22,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f8,axiom,
    ! [X21,X14,X22,X13] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_OSeq(X21,X22,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).

fof(f850,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f665,f848]) ).

fof(f665,axiom,
    ! [X24,X13] : hBOOL(hAPP(hAPP(c_fequal(X13),X24),X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f846,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f568,f844]) ).

fof(f568,axiom,
    ! [X47,X24,X13] : c_List_Olist_ONil(X13) != c_List_Olist_OCons(X24,X47,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).

fof(f842,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f536,f840]) ).

fof(f840,plain,
    ( spl0_36
  <=> ! [X13,X24] : c_List_Olist__all2(c_fequal(X13),X24,X24,X13,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f536,axiom,
    ! [X24,X13] : c_List_Olist__all2(c_fequal(X13),X24,X24,X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).

fof(f838,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f455,f836]) ).

fof(f455,axiom,
    ! [X63,X24,X13] : c_List_OListMem(X24,c_List_Olist_OCons(X24,X63,X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_elem_0) ).

fof(f834,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f194,f832]) ).

fof(f194,axiom,
    ! [X63,X13] : c_List_Oappend(X63,c_List_Olist_ONil(X13),X13) = X63,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil2_0) ).

fof(f830,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f193,f828]) ).

fof(f193,axiom,
    ! [X24,X13] : c_List_Oappend(c_List_Olist_ONil(X13),X24,X13) = X24,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

fof(f826,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f101,f824]) ).

fof(f824,plain,
    ( spl0_32
  <=> ! [X13,X14,X33] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_Onew(X33,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f101,axiom,
    ! [X14,X13,X33] : c_Expr_Oexp_Othrow(X14,X13) != c_Expr_Oexp_Onew(X33,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I41_J_0) ).

fof(f822,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f70,f820]) ).

fof(f70,axiom,
    ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typeof__h_Osimps_I1_J_0) ).

fof(f818,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f69,f816]) ).

fof(f69,axiom,
    ! [X0] : c_Objects_Otypeof__h(X0,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typeof__h_Osimps_I2_J_0) ).

fof(f814,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f657,f812]) ).

fof(f657,axiom,
    ! [X24,X60,X13] : c_List_Olist_OCons(X24,X60,X13) != X60,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f810,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f366,f808]) ).

fof(f808,plain,
    ( spl0_28
  <=> ! [X13] :
        ( ~ class_Orderings_Olinorder(X13)
        | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X13),X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f366,axiom,
    ! [X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X13),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).

fof(f806,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f359,f804]) ).

fof(f359,axiom,
    ! [X28,X13] : c_Option_Ooption_ONone(X13) != c_Option_Ooption_OSome(X28,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).

fof(f802,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f584,f800]) ).

fof(f800,plain,
    ( spl0_26
  <=> ! [X102,X64] : c_Value_Oval_OIntg(X64) != c_Value_Oval_OAddr(X102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f584,axiom,
    ! [X102,X64] : c_Value_Oval_OIntg(X64) != c_Value_Oval_OAddr(X102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I23_J_0) ).

fof(f798,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f582,f796]) ).

fof(f796,plain,
    ( spl0_25
  <=> ! [X11] : c_Value_Othe__Addr(c_Value_Oval_OAddr(X11)) = X11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f582,axiom,
    ! [X11] : c_Value_Othe__Addr(c_Value_Oval_OAddr(X11)) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__Addr_Osimps_0) ).

fof(f794,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f259,f792]) ).

fof(f792,plain,
    ( spl0_24
  <=> ! [X13,X59,X62] : c_Map_Omap__le(X62,X62,X13,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f259,axiom,
    ! [X59,X62,X13] : c_Map_Omap__le(X62,X62,X13,X59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__refl_0) ).

fof(f790,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f241,f788]) ).

fof(f788,plain,
    ( spl0_23
  <=> ! [X6,X13] : c_COMBI(X6,X13) = X6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f241,axiom,
    ! [X6,X13] : c_COMBI(X6,X13) = X6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

fof(f786,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f217,f784]) ).

fof(f784,plain,
    ( spl0_22
  <=> ! [X13,X6] : c_List_Olist__all(X6,c_List_Olist_ONil(X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f217,axiom,
    ! [X6,X13] : c_List_Olist__all(X6,c_List_Olist_ONil(X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I1_J_0) ).

fof(f782,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f603,f780]) ).

fof(f780,plain,
    ( spl0_21
  <=> ! [X27] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f603,axiom,
    ! [X27] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).

fof(f778,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f597,f776]) ).

fof(f776,plain,
    ( spl0_20
  <=> ! [X27] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f597,axiom,
    ! [X27] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).

fof(f774,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f596,f772]) ).

fof(f772,plain,
    ( spl0_19
  <=> ! [X27] : c_Type_Oty_ONT != c_Type_Oty_OClass(X27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f596,axiom,
    ! [X27] : c_Type_Oty_ONT != c_Type_Oty_OClass(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).

fof(f770,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f595,f768]) ).

fof(f768,plain,
    ( spl0_18
  <=> ! [X27] : c_Type_Oty_OVoid != c_Type_Oty_OClass(X27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f595,axiom,
    ! [X27] : c_Type_Oty_OVoid != c_Type_Oty_OClass(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).

fof(f766,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f589,f764]) ).

fof(f764,plain,
    ( spl0_17
  <=> ! [X102] : c_Value_Oval_ONull != c_Value_Oval_OAddr(X102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f589,axiom,
    ! [X102] : c_Value_Oval_ONull != c_Value_Oval_OAddr(X102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I16_J_0) ).

fof(f762,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f588,f760]) ).

fof(f760,plain,
    ( spl0_16
  <=> ! [X102] : c_Value_Oval_OUnit != c_Value_Oval_OAddr(X102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f588,axiom,
    ! [X102] : c_Value_Oval_OUnit != c_Value_Oval_OAddr(X102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I10_J_0) ).

fof(f758,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f487,f756]) ).

fof(f756,plain,
    ( spl0_15
  <=> ! [X91] : c_Value_Oval_OUnit != c_Value_Oval_OIntg(X91) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f487,axiom,
    ! [X91] : c_Value_Oval_OUnit != c_Value_Oval_OIntg(X91),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I9_J_0) ).

fof(f754,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f352,f752]) ).

fof(f752,plain,
    ( spl0_14
  <=> ! [X13] : c_List_Odistinct(c_List_Olist_ONil(X13),X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f352,axiom,
    ! [X13] : c_List_Odistinct(c_List_Olist_ONil(X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).

fof(f750,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f321,f748]) ).

fof(f748,plain,
    ( spl0_13
  <=> ! [X91] : c_Value_Oval_ONull != c_Value_Oval_OIntg(X91) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f321,axiom,
    ! [X91] : c_Value_Oval_ONull != c_Value_Oval_OIntg(X91),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I14_J_0) ).

fof(f746,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f607,f744]) ).

fof(f744,plain,
    ( spl0_12
  <=> ! [X24] : c_Type_Ois__refT(c_Type_Oty_OClass(X24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f607,axiom,
    ! [X24] : c_Type_Ois__refT(c_Type_Oty_OClass(X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_2) ).

fof(f742,plain,
    ~ spl0_11,
    inference(avatar_split_clause,[],[f522,f739]) ).

fof(f739,plain,
    ( spl0_11
  <=> c_Type_Oty_OInteger = c_Type_Oty_ONT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f522,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_ONT,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I17_J_0) ).

fof(f737,plain,
    ~ spl0_10,
    inference(avatar_split_clause,[],[f476,f734]) ).

fof(f734,plain,
    ( spl0_10
  <=> c_Type_Oty_OVoid = c_Type_Oty_OBoolean ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f476,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).

fof(f732,plain,
    ~ spl0_9,
    inference(avatar_split_clause,[],[f467,f729]) ).

fof(f729,plain,
    ( spl0_9
  <=> c_Value_Oval_ONull = c_Value_Oval_OUnit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f467,axiom,
    c_Value_Oval_ONull != c_Value_Oval_OUnit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_val_Osimps_I5_J_0) ).

fof(f727,plain,
    ~ spl0_8,
    inference(avatar_split_clause,[],[f397,f724]) ).

fof(f724,plain,
    ( spl0_8
  <=> c_Type_Oty_OInteger = c_Type_Oty_OBoolean ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f397,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I11_J_0) ).

fof(f722,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f393,f719]) ).

fof(f719,plain,
    ( spl0_7
  <=> c_Type_Oty_OInteger = c_Type_Oty_OVoid ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f393,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).

fof(f717,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f383,f715]) ).

fof(f715,plain,
    ( spl0_6
  <=> ! [X0] : c_Objects_Ohext(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f383,axiom,
    ! [X0] : c_Objects_Ohext(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__refl_0) ).

fof(f713,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f332,f710]) ).

fof(f332,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).

fof(f708,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f247,f705]) ).

fof(f705,plain,
    ( spl0_4
  <=> c_Type_Oty_ONT = c_Type_Oty_OBoolean ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f247,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).

fof(f703,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f664,f700]) ).

fof(f700,plain,
    ( spl0_3
  <=> class_Orderings_Olinorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f664,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).

fof(f698,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f663,f695]) ).

fof(f695,plain,
    ( spl0_2
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f663,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f693,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f419,f690]) ).

fof(f690,plain,
    ( spl0_1
  <=> c_Type_Ois__refT(c_Type_Oty_ONT) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f419,axiom,
    c_Type_Ois__refT(c_Type_Oty_ONT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV939-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 05:00:14 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (520)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (521)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.43  % (526)WARNING: value z3 for option sas not known
% 0.20/0.43  % (525)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.43  % (527)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.43  % (529)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.43  % (528)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.43  % (526)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.43  % (530)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 3.31/0.87  % (528)First to succeed.
% 3.31/0.88  % (528)Refutation found. Thanks to Tanya!
% 3.31/0.88  % SZS status Unsatisfiable for theBenchmark
% 3.31/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 3.31/0.89  % (528)------------------------------
% 3.31/0.89  % (528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.31/0.89  % (528)Termination reason: Refutation
% 3.31/0.89  
% 3.31/0.89  % (528)Memory used [KB]: 5941
% 3.31/0.89  % (528)Time elapsed: 0.451 s
% 3.31/0.89  % (528)Instructions burned: 1560 (million)
% 3.31/0.89  % (528)------------------------------
% 3.31/0.89  % (528)------------------------------
% 3.31/0.89  % (520)Success in time 0.529 s
%------------------------------------------------------------------------------