TSTP Solution File: SWV772-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV772-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 May 21 06:35:49 EDT 2024

% Result   : Unsatisfiable 2.25s 0.68s
% Output   : Refutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  849
% Syntax   : Number of formulae    : 1611 ( 463 unt;   0 def)
%            Number of atoms       : 3813 ( 685 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 3779 (1577   ~;1713   |;   0   &)
%                                         ( 489 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :  503 ( 501 usr; 490 prp; 0-3 aty)
%            Number of functors    :   63 (  63 usr;  10 con; 0-5 aty)
%            Number of variables   : 3198 (3198   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7379,plain,
    $false,
    inference(avatar_sat_refutation,[],[f468,f473,f478,f483,f488,f493,f498,f503,f507,f512,f516,f520,f525,f531,f535,f539,f543,f547,f551,f555,f559,f563,f567,f571,f575,f579,f583,f587,f591,f595,f599,f610,f614,f618,f622,f626,f630,f634,f638,f642,f646,f650,f654,f658,f662,f666,f670,f674,f678,f690,f694,f698,f702,f706,f710,f714,f718,f722,f726,f730,f734,f738,f742,f746,f750,f754,f758,f762,f766,f794,f798,f802,f806,f810,f814,f818,f823,f827,f831,f835,f839,f843,f847,f851,f855,f859,f863,f868,f872,f876,f889,f907,f911,f915,f919,f923,f927,f931,f935,f939,f943,f947,f951,f955,f959,f963,f967,f971,f975,f980,f984,f988,f992,f996,f1000,f1004,f1008,f1012,f1016,f1020,f1024,f1034,f1051,f1069,f1073,f1077,f1081,f1085,f1089,f1093,f1097,f1101,f1105,f1109,f1113,f1117,f1149,f1153,f1157,f1161,f1165,f1169,f1173,f1177,f1181,f1185,f1189,f1193,f1197,f1202,f1206,f1211,f1215,f1219,f1223,f1227,f1231,f1235,f1239,f1243,f1247,f1326,f1330,f1334,f1338,f1342,f1346,f1350,f1354,f1358,f1362,f1366,f1370,f1374,f1378,f1384,f1388,f1392,f1396,f1400,f1404,f1408,f1412,f1416,f1420,f1427,f1431,f1574,f1629,f1633,f1637,f1641,f1645,f1649,f1653,f1657,f1661,f1665,f1669,f1673,f1677,f1681,f1685,f1689,f1693,f1697,f1701,f1705,f1709,f1713,f1717,f1721,f1725,f1734,f1738,f1742,f1746,f1750,f1754,f1758,f1779,f1956,f1997,f2001,f2005,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2078,f2082,f2086,f2090,f2097,f2101,f2105,f2109,f2305,f2527,f2531,f2535,f2539,f2543,f2547,f2551,f2555,f2559,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2609,f2613,f2680,f2782,f2786,f2790,f2794,f2798,f2802,f2806,f2815,f2819,f2823,f2827,f2831,f2904,f3050,f3054,f3058,f3064,f3068,f3072,f3076,f3080,f3084,f3088,f3092,f3096,f3100,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3296,f3430,f3434,f3438,f3444,f3448,f3452,f3456,f3460,f3464,f3468,f3472,f3476,f3480,f3484,f3488,f3492,f3496,f3500,f3580,f3800,f3830,f3834,f3838,f3842,f3846,f3850,f3854,f4019,f4023,f4027,f4031,f4035,f4050,f4054,f4058,f4062,f4066,f4070,f4074,f4331,f4335,f4339,f4343,f4347,f4409,f4413,f4417,f4421,f4425,f4499,f4503,f4507,f4511,f4515,f4519,f4523,f4527,f4531,f4535,f4539,f4543,f4547,f4783,f4797,f4801,f4805,f4888,f4892,f4896,f4908,f4912,f4916,f4920,f4924,f5088,f5161,f5176,f5199,f5203,f5248,f5293,f5297,f5374,f5400,f5404,f5408,f5412,f5454,f5458,f5462,f5466,f5470,f5474,f5478,f5535,f5539,f5543,f5547,f5600,f5697,f5701,f5705,f5709,f5713,f5717,f5721,f5725,f5729,f5733,f5737,f5741,f5745,f5749,f5753,f5757,f5766,f5770,f5774,f5778,f5782,f5786,f5798,f5810,f5823,f5906,f6145,f6149,f6153,f6157,f6161,f6165,f6169,f6173,f6177,f6181,f6185,f6189,f6193,f6197,f6201,f6205,f6605,f6609,f6613,f6617,f6621,f6625,f6629,f6634,f6638,f6642,f6646,f6650,f6654,f6658,f6662,f6666,f6670,f6674,f6678,f6682,f6686,f6690,f6694,f6698,f6702,f6718,f6730,f6739,f6743,f6747,f6751,f6755,f6759,f6763,f6767,f6771,f6775,f6786,f7150,f7378]) ).

fof(f7378,plain,
    ( ~ spl0_272
    | spl0_489 ),
    inference(avatar_contradiction_clause,[],[f7377]) ).

fof(f7377,plain,
    ( $false
    | ~ spl0_272
    | spl0_489 ),
    inference(trivial_inequality_removal,[],[f7376]) ).

fof(f7376,plain,
    ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
    | ~ spl0_272
    | spl0_489 ),
    inference(superposition,[],[f7149,f2608]) ).

fof(f2608,plain,
    ( ! [X2,X21,X3,X4] : c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X4,X2),X3,tc_Event_Oevent))
    | ~ spl0_272 ),
    inference(avatar_component_clause,[],[f2607]) ).

fof(f2607,plain,
    ( spl0_272
  <=> ! [X4,X21,X3,X2] : c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X4,X2),X3,tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f7149,plain,
    ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))
    | spl0_489 ),
    inference(avatar_component_clause,[],[f7147]) ).

fof(f7147,plain,
    ( spl0_489
  <=> c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f7150,plain,
    ( ~ spl0_489
    | spl0_14
    | ~ spl0_470 ),
    inference(avatar_split_clause,[],[f7132,f6680,f528,f7147]) ).

fof(f528,plain,
    ( spl0_14
  <=> c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orotate1(c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f6680,plain,
    ( spl0_470
  <=> ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0) = c_List_Orotate1(c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f7132,plain,
    ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))
    | spl0_14
    | ~ spl0_470 ),
    inference(superposition,[],[f530,f6681]) ).

fof(f6681,plain,
    ( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0) = c_List_Orotate1(c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0),X0)
    | ~ spl0_470 ),
    inference(avatar_component_clause,[],[f6680]) ).

fof(f530,plain,
    ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orotate1(c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f6786,plain,
    ( spl0_488
    | ~ spl0_48
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f4293,f4072,f672,f6784]) ).

fof(f6784,plain,
    ( spl0_488
  <=> ! [X0,X3,X2,X1] : c_List_Olist_ONil(X2) != c_List_Oappend(c_List_Oreplicate(X1,X0,X2),c_List_Olist_OCons(X0,X3,X2),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f672,plain,
    ( spl0_48
  <=> ! [X0,X11,X35] : c_List_Olist_ONil(X11) != c_List_Olist_OCons(X0,X35,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f4072,plain,
    ( spl0_348
  <=> ! [X10,X11,X0,X29] : c_List_Oappend(c_List_Oreplicate(X29,X0,X11),c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Oappend(c_List_Oreplicate(X29,X0,X11),X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f4293,plain,
    ( ! [X2,X3,X0,X1] : c_List_Olist_ONil(X2) != c_List_Oappend(c_List_Oreplicate(X1,X0,X2),c_List_Olist_OCons(X0,X3,X2),X2)
    | ~ spl0_48
    | ~ spl0_348 ),
    inference(superposition,[],[f673,f4073]) ).

fof(f4073,plain,
    ( ! [X10,X29,X0,X11] : c_List_Oappend(c_List_Oreplicate(X29,X0,X11),c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Oappend(c_List_Oreplicate(X29,X0,X11),X10,X11),X11)
    | ~ spl0_348 ),
    inference(avatar_component_clause,[],[f4072]) ).

fof(f673,plain,
    ( ! [X0,X11,X35] : c_List_Olist_ONil(X11) != c_List_Olist_OCons(X0,X35,X11)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f6775,plain,
    ( spl0_487
    | ~ spl0_48
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f4237,f4064,f672,f6773]) ).

fof(f6773,plain,
    ( spl0_487
  <=> ! [X4,X0,X3,X2,X1] : c_List_Olist_ONil(X4) != c_List_Osplice(c_List_Olist_OCons(X0,X2,X4),c_List_Olist_OCons(X1,X3,X4),X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f4064,plain,
    ( spl0_346
  <=> ! [X10,X11,X0,X16,X1] : c_List_Osplice(c_List_Olist_OCons(X0,X10,X11),c_List_Olist_OCons(X1,X16,X11),X11) = c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Osplice(X10,X16,X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f4237,plain,
    ( ! [X2,X3,X0,X1,X4] : c_List_Olist_ONil(X4) != c_List_Osplice(c_List_Olist_OCons(X0,X2,X4),c_List_Olist_OCons(X1,X3,X4),X4)
    | ~ spl0_48
    | ~ spl0_346 ),
    inference(superposition,[],[f673,f4065]) ).

fof(f4065,plain,
    ( ! [X10,X0,X11,X1,X16] : c_List_Osplice(c_List_Olist_OCons(X0,X10,X11),c_List_Olist_OCons(X1,X16,X11),X11) = c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Osplice(X10,X16,X11),X11),X11)
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f4064]) ).

fof(f6771,plain,
    ( spl0_486
    | ~ spl0_46
    | ~ spl0_83
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f3796,f3494,f845,f664,f6769]) ).

fof(f6769,plain,
    ( spl0_486
  <=> ! [X0,X3,X2,X1] : hAPP(X0,X3) = c_List_Oconcat__map(X0,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f664,plain,
    ( spl0_46
  <=> ! [X11,X10] : c_List_Oappend(X10,c_List_Olist_ONil(X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f845,plain,
    ( spl0_83
  <=> ! [X11,X14,X15] : c_List_Olist_ONil(X11) = c_List_Oconcat__map(X15,c_List_Olist_ONil(X14),X14,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3494,plain,
    ( spl0_326
  <=> ! [X11,X14,X0,X10,X15] : c_List_Oconcat__map(X15,c_List_Olist_OCons(X0,X10,X14),X14,X11) = c_List_Oappend(hAPP(X15,X0),c_List_Oconcat__map(X15,X10,X14,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f3796,plain,
    ( ! [X2,X3,X0,X1] : hAPP(X0,X3) = c_List_Oconcat__map(X0,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1,X2)
    | ~ spl0_46
    | ~ spl0_83
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f3776,f665]) ).

fof(f665,plain,
    ( ! [X10,X11] : c_List_Oappend(X10,c_List_Olist_ONil(X11),X11) = X10
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f3776,plain,
    ( ! [X2,X3,X0,X1] : c_List_Oconcat__map(X0,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1,X2) = c_List_Oappend(hAPP(X0,X3),c_List_Olist_ONil(X2),X2)
    | ~ spl0_83
    | ~ spl0_326 ),
    inference(superposition,[],[f3495,f846]) ).

fof(f846,plain,
    ( ! [X11,X14,X15] : c_List_Olist_ONil(X11) = c_List_Oconcat__map(X15,c_List_Olist_ONil(X14),X14,X11)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f3495,plain,
    ( ! [X10,X0,X11,X14,X15] : c_List_Oconcat__map(X15,c_List_Olist_OCons(X0,X10,X14),X14,X11) = c_List_Oappend(hAPP(X15,X0),c_List_Oconcat__map(X15,X10,X14,X11),X11)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f3494]) ).

fof(f6767,plain,
    ( spl0_485
    | ~ spl0_117
    | ~ spl0_152
    | ~ spl0_245
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f3676,f3470,f2084,f1209,f1006,f6765]) ).

fof(f6765,plain,
    ( spl0_485
  <=> ! [X2,X0,X3] :
        ( ~ c_in(X3,c_List_Oset(c_List_Olist_ONil(X2),X2),X2)
        | c_in(X3,c_List_Oset(X0,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f1006,plain,
    ( spl0_117
  <=> ! [X0,X11] : c_List_Olist_ONil(X11) = c_List_Obutlast(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1209,plain,
    ( spl0_152
  <=> ! [X0,X11,X10] : c_List_Obutlast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2084,plain,
    ( spl0_245
  <=> ! [X0,X14,X10] : c_List_Orotate1(c_List_Olist_OCons(X0,X10,X14),X14) = c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X14),X14),X14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f3470,plain,
    ( spl0_320
  <=> ! [X10,X11,X0,X16] :
        ( ~ c_in(X0,c_List_Oset(c_List_Obutlast(X16,X11),X11),X11)
        | c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f3676,plain,
    ( ! [X2,X3,X0] :
        ( ~ c_in(X3,c_List_Oset(c_List_Olist_ONil(X2),X2),X2)
        | c_in(X3,c_List_Oset(X0,X2),X2) )
    | ~ spl0_117
    | ~ spl0_152
    | ~ spl0_245
    | ~ spl0_320 ),
    inference(forward_demodulation,[],[f3675,f1007]) ).

fof(f1007,plain,
    ( ! [X0,X11] : c_List_Olist_ONil(X11) = c_List_Obutlast(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f3675,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X3,c_List_Oset(X0,X2),X2)
        | ~ c_in(X3,c_List_Oset(c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),X2),X2) )
    | ~ spl0_152
    | ~ spl0_245
    | ~ spl0_320 ),
    inference(forward_demodulation,[],[f3663,f1210]) ).

fof(f1210,plain,
    ( ! [X10,X0,X11] : c_List_Obutlast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X10
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f3663,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X3,c_List_Oset(c_List_Obutlast(c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2),X2),X2),X2)
        | ~ c_in(X3,c_List_Oset(c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),X2),X2) )
    | ~ spl0_245
    | ~ spl0_320 ),
    inference(superposition,[],[f3471,f2085]) ).

fof(f2085,plain,
    ( ! [X10,X0,X14] : c_List_Orotate1(c_List_Olist_OCons(X0,X10,X14),X14) = c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X14),X14),X14)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f2084]) ).

fof(f3471,plain,
    ( ! [X10,X0,X11,X16] :
        ( c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11),X11),X11)
        | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X16,X11),X11),X11) )
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f3470]) ).

fof(f6763,plain,
    ( spl0_484
    | ~ spl0_19
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f3522,f3436,f549,f6761]) ).

fof(f6761,plain,
    ( spl0_484
  <=> ! [X2,X0,X1] :
        ( ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X0,X1,X2),X1,tc_fun(X2,tc_bool))
        | ~ c_in(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f549,plain,
    ( spl0_19
  <=> ! [X0,X11] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f3436,plain,
    ( spl0_312
  <=> ! [X4,X11,X0,X21] :
        ( ~ c_in(X0,X4,X11)
        | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f3522,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X0,X1,X2),X1,tc_fun(X2,tc_bool))
        | ~ c_in(X0,X1,X2) )
    | ~ spl0_19
    | ~ spl0_312 ),
    inference(resolution,[],[f3437,f550]) ).

fof(f550,plain,
    ( ! [X0,X11] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_fun(X11,tc_bool))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f3437,plain,
    ( ! [X21,X0,X11,X4] :
        ( c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool))
        | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_in(X0,X4,X11) )
    | ~ spl0_312 ),
    inference(avatar_component_clause,[],[f3436]) ).

fof(f6759,plain,
    ( spl0_483
    | ~ spl0_34
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f3343,f3119,f616,f6757]) ).

fof(f6757,plain,
    ( spl0_483
  <=> ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f616,plain,
    ( spl0_34
  <=> ! [X6] : c_lessequals(X6,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3119,plain,
    ( spl0_305
  <=> ! [X28,X4,X11,X21] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X4,X28,tc_fun(X11,tc_bool))
        | c_lessequals(X21,X28,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f3343,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_34
    | ~ spl0_305 ),
    inference(resolution,[],[f3120,f617]) ).

fof(f617,plain,
    ( ! [X6] : c_lessequals(X6,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f3120,plain,
    ( ! [X21,X28,X11,X4] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X4,X28,tc_fun(X11,tc_bool))
        | c_lessequals(X21,X28,tc_fun(X11,tc_bool)) )
    | ~ spl0_305 ),
    inference(avatar_component_clause,[],[f3119]) ).

fof(f6755,plain,
    ( spl0_482
    | ~ spl0_43
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f3342,f3119,f652,f6753]) ).

fof(f6753,plain,
    ( spl0_482
  <=> ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f652,plain,
    ( spl0_43
  <=> ! [X6] : c_lessequals(X6,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f3342,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_43
    | ~ spl0_305 ),
    inference(resolution,[],[f3120,f653]) ).

fof(f653,plain,
    ( ! [X6] : c_lessequals(X6,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f6751,plain,
    ( spl0_481
    | ~ spl0_32
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f3339,f3119,f608,f6749]) ).

fof(f6749,plain,
    ( spl0_481
  <=> ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f608,plain,
    ( spl0_32
  <=> ! [X6] : c_lessequals(X6,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3339,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_32
    | ~ spl0_305 ),
    inference(resolution,[],[f3120,f609]) ).

fof(f609,plain,
    ( ! [X6] : c_lessequals(X6,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f6747,plain,
    ( spl0_480
    | ~ spl0_90
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f3322,f3111,f874,f6745]) ).

fof(f6745,plain,
    ( spl0_480
  <=> ! [X2,X0,X1] :
        ( c_lessequals(X0,X1,X2)
        | ~ class_Orderings_Olinorder(X2)
        | ~ c_in(X1,c_List_Oset(c_List_Olist_ONil(X2),X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f874,plain,
    ( spl0_90
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3111,plain,
    ( spl0_303
  <=> ! [X35,X11,X0,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_lessequals(X0,X35,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
        | ~ c_in(X35,c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f3322,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(X0,X1,X2)
        | ~ class_Orderings_Olinorder(X2)
        | ~ c_in(X1,c_List_Oset(c_List_Olist_ONil(X2),X2),X2) )
    | ~ spl0_90
    | ~ spl0_303 ),
    inference(duplicate_literal_removal,[],[f3318]) ).

fof(f3318,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(X0,X1,X2)
        | ~ class_Orderings_Olinorder(X2)
        | ~ c_in(X1,c_List_Oset(c_List_Olist_ONil(X2),X2),X2)
        | ~ class_Orderings_Olinorder(X2) )
    | ~ spl0_90
    | ~ spl0_303 ),
    inference(resolution,[],[f3112,f875]) ).

fof(f875,plain,
    ( ! [X0,X11] :
        ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11)
        | ~ class_Orderings_Olinorder(X11) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f3112,plain,
    ( ! [X10,X0,X11,X35] :
        ( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
        | c_lessequals(X0,X35,X11)
        | ~ class_Orderings_Olinorder(X11)
        | ~ c_in(X35,c_List_Oset(X10,X11),X11) )
    | ~ spl0_303 ),
    inference(avatar_component_clause,[],[f3111]) ).

fof(f6743,plain,
    ( spl0_479
    | ~ spl0_48
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3179,f3056,f672,f6741]) ).

fof(f6741,plain,
    ( spl0_479
  <=> ! [X0,X3,X2,X1] :
        ( c_List_Olist_ONil(X3) != c_List_Oremove1(X1,c_List_Olist_OCons(X0,X2,X3),X3)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f3056,plain,
    ( spl0_290
  <=> ! [X11,X0,X10,X1] :
        ( X0 = X1
        | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X10,X11),X11) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f3179,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_List_Olist_ONil(X3) != c_List_Oremove1(X1,c_List_Olist_OCons(X0,X2,X3),X3)
        | X0 = X1 )
    | ~ spl0_48
    | ~ spl0_290 ),
    inference(superposition,[],[f673,f3057]) ).

fof(f3057,plain,
    ( ! [X10,X0,X11,X1] :
        ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X10,X11),X11) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X10,X11),X11)
        | X0 = X1 )
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f3056]) ).

fof(f6739,plain,
    ( spl0_478
    | ~ spl0_78
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f3022,f2829,f825,f6737]) ).

fof(f6737,plain,
    ( spl0_478
  <=> ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Olist_OCons(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f825,plain,
    ( spl0_78
  <=> ! [X16,X11,X10] :
        ( c_List_Odistinct(X10,X11)
        | ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2829,plain,
    ( spl0_286
  <=> ! [X0,X11,X10] : c_List_Orev(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Oappend(c_List_Orev(X10,X11),c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f3022,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Olist_OCons(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X0,X1),X1) )
    | ~ spl0_78
    | ~ spl0_286 ),
    inference(superposition,[],[f826,f2830]) ).

fof(f2830,plain,
    ( ! [X10,X0,X11] : c_List_Orev(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Oappend(c_List_Orev(X10,X11),c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f2829]) ).

fof(f826,plain,
    ( ! [X10,X11,X16] :
        ( ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11)
        | c_List_Odistinct(X10,X11) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f6730,plain,
    ( spl0_477
    | ~ spl0_48
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f2931,f2817,f672,f6728]) ).

fof(f6728,plain,
    ( spl0_477
  <=> ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
        | c_List_Olist_ONil(X2) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f2817,plain,
    ( spl0_283
  <=> ! [X0,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Obutlast(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Obutlast(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f2931,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
        | c_List_Olist_ONil(X2) = X1 )
    | ~ spl0_48
    | ~ spl0_283 ),
    inference(superposition,[],[f673,f2818]) ).

fof(f2818,plain,
    ( ! [X10,X0,X11] :
        ( c_List_Obutlast(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Obutlast(X10,X11),X11)
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f2817]) ).

fof(f6718,plain,
    ( spl0_476
    | ~ spl0_7
    | ~ spl0_84
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2739,f2594,f849,f495,f6716]) ).

fof(f6716,plain,
    ( spl0_476
  <=> ! [X0,X1] : c_lessequals(hAPP(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),X0),hAPP(c_Event_Oused(X1),X0),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f495,plain,
    ( spl0_7
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f849,plain,
    ( spl0_84
  <=> ! [X3] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2594,plain,
    ( spl0_269
  <=> ! [X11,X14,X0,X15,X26] :
        ( ~ class_HOL_Oord(X14)
        | ~ c_lessequals(X15,X26,tc_fun(X11,X14))
        | c_lessequals(hAPP(X15,X0),hAPP(X26,X0),X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f2739,plain,
    ( ! [X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),X0),hAPP(c_Event_Oused(X1),X0),tc_bool) )
    | ~ spl0_84
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f850]) ).

fof(f850,plain,
    ( ! [X3] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f2595,plain,
    ( ! [X0,X11,X26,X14,X15] :
        ( ~ c_lessequals(X15,X26,tc_fun(X11,X14))
        | ~ class_HOL_Oord(X14)
        | c_lessequals(hAPP(X15,X0),hAPP(X26,X0),X14) )
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f2594]) ).

fof(f6702,plain,
    ( spl0_475
    | ~ spl0_7
    | ~ spl0_85
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2735,f2594,f853,f495,f6700]) ).

fof(f6700,plain,
    ( spl0_475
  <=> ! [X0,X3,X2,X1] : c_lessequals(hAPP(X0,X1),hAPP(c_Set_Oinsert(X2,X0,X3),X1),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f853,plain,
    ( spl0_85
  <=> ! [X4,X11,X9] : c_lessequals(X4,c_Set_Oinsert(X9,X4,X11),tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2735,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(X0,X1),hAPP(c_Set_Oinsert(X2,X0,X3),X1),tc_bool) )
    | ~ spl0_85
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f854]) ).

fof(f854,plain,
    ( ! [X11,X9,X4] : c_lessequals(X4,c_Set_Oinsert(X9,X4,X11),tc_fun(X11,tc_bool))
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f6698,plain,
    ( spl0_474
    | ~ spl0_150
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2474,f2103,f1200,f6696]) ).

fof(f6696,plain,
    ( spl0_474
  <=> ! [X0,X3,X2,X1] : c_List_Olast(c_List_Orotate1(c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3),X3) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f1200,plain,
    ( spl0_150
  <=> ! [X0,X11,X10] : c_List_Olast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2103,plain,
    ( spl0_249
  <=> ! [X35,X11,X0,X45] : c_List_Oappend(c_List_Olist_OCons(X0,X35,X11),X45,X11) = c_List_Olist_OCons(X0,c_List_Oappend(X35,X45,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2474,plain,
    ( ! [X2,X3,X0,X1] : c_List_Olast(c_List_Orotate1(c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3),X3) = X0
    | ~ spl0_150
    | ~ spl0_249 ),
    inference(superposition,[],[f1201,f2104]) ).

fof(f2104,plain,
    ( ! [X0,X11,X45,X35] : c_List_Oappend(c_List_Olist_OCons(X0,X35,X11),X45,X11) = c_List_Olist_OCons(X0,c_List_Oappend(X35,X45,X11),X11)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f2103]) ).

fof(f1201,plain,
    ( ! [X10,X0,X11] : c_List_Olast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X0
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f6694,plain,
    ( spl0_473
    | ~ spl0_47
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2463,f2103,f668,f6692]) ).

fof(f6692,plain,
    ( spl0_473
  <=> ! [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_473])]) ).

fof(f668,plain,
    ( spl0_47
  <=> ! [X0,X11] : c_List_Oappend(c_List_Olist_ONil(X11),X0,X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2463,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_47
    | ~ spl0_249 ),
    inference(superposition,[],[f2104,f669]) ).

fof(f669,plain,
    ( ! [X0,X11] : c_List_Oappend(c_List_Olist_ONil(X11),X0,X11) = X0
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f6690,plain,
    ( spl0_472
    | ~ spl0_133
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2371,f2084,f1103,f6688]) ).

fof(f6688,plain,
    ( spl0_472
  <=> ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2)
        | c_List_Olist_ONil(X2) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f1103,plain,
    ( spl0_133
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2371,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2)
        | c_List_Olist_ONil(X2) = X0 )
    | ~ spl0_133
    | ~ spl0_245 ),
    inference(superposition,[],[f1104,f2085]) ).

fof(f1104,plain,
    ( ! [X10,X11,X16] :
        ( c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11)
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f6686,plain,
    ( spl0_471
    | ~ spl0_128
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2370,f2084,f1083,f6684]) ).

fof(f6684,plain,
    ( spl0_471
  <=> ! [X2,X0,X1] :
        ( ~ c_List_Olinorder__class_Osorted(c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2),X2)
        | c_List_Olinorder__class_Osorted(X0,X2)
        | ~ class_Orderings_Olinorder(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f1083,plain,
    ( spl0_128
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2370,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_List_Olinorder__class_Osorted(c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2),X2)
        | c_List_Olinorder__class_Osorted(X0,X2)
        | ~ class_Orderings_Olinorder(X2) )
    | ~ spl0_128
    | ~ spl0_245 ),
    inference(superposition,[],[f1084,f2085]) ).

fof(f1084,plain,
    ( ! [X10,X11,X16] :
        ( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
        | c_List_Olinorder__class_Osorted(X10,X11)
        | ~ class_Orderings_Olinorder(X11) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f6682,plain,
    ( spl0_470
    | ~ spl0_47
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2363,f2084,f668,f6680]) ).

fof(f2363,plain,
    ( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0) = c_List_Orotate1(c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0),X0)
    | ~ spl0_47
    | ~ spl0_245 ),
    inference(superposition,[],[f2085,f669]) ).

fof(f6678,plain,
    ( spl0_469
    | ~ spl0_364
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f6552,f5246,f4517,f6676]) ).

fof(f6676,plain,
    ( spl0_469
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f4517,plain,
    ( spl0_364
  <=> ! [X2,X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f5246,plain,
    ( spl0_389
  <=> ! [X0] : c_Message_Oanalz(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f6552,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),X0)
    | ~ spl0_364
    | ~ spl0_389 ),
    inference(superposition,[],[f4518,f5247]) ).

fof(f5247,plain,
    ( ! [X0] : c_Message_Oanalz(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)
    | ~ spl0_389 ),
    inference(avatar_component_clause,[],[f5246]) ).

fof(f4518,plain,
    ( ! [X2,X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2)
    | ~ spl0_364 ),
    inference(avatar_component_clause,[],[f4517]) ).

fof(f6674,plain,
    ( spl0_468
    | ~ spl0_2
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f2362,f2080,f470,f6672]) ).

fof(f6672,plain,
    ( spl0_468
  <=> ! [X2,X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_ONil(X2),X2,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f470,plain,
    ( spl0_2
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2080,plain,
    ( spl0_244
  <=> ! [X0,X11,X14,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_ONil(X11),X11,X14) = c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f2362,plain,
    ( ! [X2,X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_ONil(X2),X2,tc_nat)
    | ~ spl0_2
    | ~ spl0_244 ),
    inference(resolution,[],[f2081,f472]) ).

fof(f472,plain,
    ( class_Orderings_Olinorder(tc_nat)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2081,plain,
    ( ! [X0,X11,X14,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_ONil(X11),X11,X14) = c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) )
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f2080]) ).

fof(f6670,plain,
    ( spl0_467
    | ~ spl0_51
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2353,f2072,f692,f6668]) ).

fof(f6668,plain,
    ( spl0_467
  <=> ! [X0] :
        ( c_Message_Oparts(X0) = c_Message_Oanalz(X0)
        | ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f692,plain,
    ( spl0_51
  <=> ! [X6] : c_lessequals(c_Message_Oanalz(X6),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2072,plain,
    ( spl0_242
  <=> ! [X4,X21,X11] :
        ( X4 = X21
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X4,X21,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f2353,plain,
    ( ! [X0] :
        ( c_Message_Oparts(X0) = c_Message_Oanalz(X0)
        | ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_51
    | ~ spl0_242 ),
    inference(resolution,[],[f2073,f693]) ).

fof(f693,plain,
    ( ! [X6] : c_lessequals(c_Message_Oanalz(X6),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f2073,plain,
    ( ! [X21,X11,X4] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | X4 = X21
        | ~ c_lessequals(X4,X21,tc_fun(X11,tc_bool)) )
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f2072]) ).

fof(f6666,plain,
    ( spl0_466
    | ~ spl0_213
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f2306,f2064,f1723,f6664]) ).

fof(f6664,plain,
    ( spl0_466
  <=> ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f1723,plain,
    ( spl0_213
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f2064,plain,
    ( spl0_240
  <=> ! [X6,X5] :
        ( c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f2306,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_213
    | ~ spl0_240 ),
    inference(resolution,[],[f2065,f1724]) ).

fof(f1724,plain,
    ( ! [X6,X5] :
        ( c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1723]) ).

fof(f2065,plain,
    ( ! [X6,X5] :
        ( ~ c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f2064]) ).

fof(f6662,plain,
    ( spl0_465
    | ~ spl0_78
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f2227,f2036,f825,f6660]) ).

fof(f6660,plain,
    ( spl0_465
  <=> ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Oappend(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f2036,plain,
    ( spl0_233
  <=> ! [X16,X11,X10] : c_List_Orev(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Orev(X16,X11),c_List_Orev(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f2227,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Oappend(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X0,X1),X1) )
    | ~ spl0_78
    | ~ spl0_233 ),
    inference(superposition,[],[f826,f2037]) ).

fof(f2037,plain,
    ( ! [X10,X11,X16] : c_List_Orev(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Orev(X16,X11),c_List_Orev(X10,X11),X11)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f2036]) ).

fof(f6658,plain,
    ( spl0_464
    | ~ spl0_76
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f2226,f2036,f816,f6656]) ).

fof(f6656,plain,
    ( spl0_464
  <=> ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Oappend(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X2,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f816,plain,
    ( spl0_76
  <=> ! [X16,X11,X10] :
        ( c_List_Odistinct(X16,X11)
        | ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2226,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orev(c_List_Oappend(X2,X0,X1),X1),X1)
        | c_List_Odistinct(c_List_Orev(X2,X1),X1) )
    | ~ spl0_76
    | ~ spl0_233 ),
    inference(superposition,[],[f817,f2037]) ).

fof(f817,plain,
    ( ! [X10,X11,X16] :
        ( ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11)
        | c_List_Odistinct(X16,X11) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f6654,plain,
    ( spl0_463
    | ~ spl0_51
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2178,f2012,f692,f6652]) ).

fof(f6652,plain,
    ( spl0_463
  <=> ! [X0] :
        ( c_Message_Oparts(X0) = c_Message_Oanalz(X0)
        | c_HOL_Oord__class_Oless(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f2012,plain,
    ( spl0_227
  <=> ! [X4,X21,X11] :
        ( X4 = X21
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f2178,plain,
    ( ! [X0] :
        ( c_Message_Oparts(X0) = c_Message_Oanalz(X0)
        | c_HOL_Oord__class_Oless(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_51
    | ~ spl0_227 ),
    inference(resolution,[],[f2013,f693]) ).

fof(f2013,plain,
    ( ! [X21,X11,X4] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | X4 = X21
        | c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool)) )
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f2012]) ).

fof(f6650,plain,
    ( spl0_462
    | ~ spl0_197
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2137,f2003,f1659,f6648]) ).

fof(f6648,plain,
    ( spl0_462
  <=> ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f1659,plain,
    ( spl0_197
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f2003,plain,
    ( spl0_225
  <=> ! [X6,X5] :
        ( c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f2137,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_197
    | ~ spl0_225 ),
    inference(resolution,[],[f2004,f1660]) ).

fof(f1660,plain,
    ( ! [X6,X5] :
        ( c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1659]) ).

fof(f2004,plain,
    ( ! [X6,X5] :
        ( ~ c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f2003]) ).

fof(f6646,plain,
    ( spl0_461
    | ~ spl0_189
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f2110,f1995,f1627,f6644]) ).

fof(f6644,plain,
    ( spl0_461
  <=> ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f1627,plain,
    ( spl0_189
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1995,plain,
    ( spl0_223
  <=> ! [X6,X5] :
        ( c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f2110,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_189
    | ~ spl0_223 ),
    inference(resolution,[],[f1996,f1628]) ).

fof(f1628,plain,
    ( ! [X6,X5] :
        ( c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f1996,plain,
    ( ! [X6,X5] :
        ( ~ c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1995]) ).

fof(f6642,plain,
    ( spl0_460
    | ~ spl0_136
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1935,f1719,f1115,f6640]) ).

fof(f6640,plain,
    ( spl0_460
  <=> ! [X2,X0,X1] :
        ( hBOOL(hAPP(c_Event_Oknows(X0,X1),X2))
        | ~ hBOOL(hAPP(c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f1115,plain,
    ( spl0_136
  <=> ! [X21,X3] : c_lessequals(c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X21,X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1719,plain,
    ( spl0_212
  <=> ! [X11,X13,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X0))
        | hBOOL(hAPP(X13,X0))
        | ~ c_lessequals(X12,X13,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1935,plain,
    ( ! [X2,X0,X1] :
        ( hBOOL(hAPP(c_Event_Oknows(X0,X1),X2))
        | ~ hBOOL(hAPP(c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),X2)) )
    | ~ spl0_136
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f1116]) ).

fof(f1116,plain,
    ( ! [X21,X3] : c_lessequals(c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X21,X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1720,plain,
    ( ! [X0,X11,X12,X13] :
        ( ~ c_lessequals(X12,X13,tc_fun(X11,tc_bool))
        | hBOOL(hAPP(X13,X0))
        | ~ hBOOL(hAPP(X12,X0)) )
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f1719]) ).

fof(f6638,plain,
    ( spl0_459
    | ~ spl0_136
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1913,f1715,f1115,f6636]) ).

fof(f6636,plain,
    ( spl0_459
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f1715,plain,
    ( spl0_211
  <=> ! [X4,X11,X8,X21] :
        ( ~ c_in(X8,X21,X11)
        | c_in(X8,X4,X11)
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f1913,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
    | ~ spl0_136
    | ~ spl0_211 ),
    inference(resolution,[],[f1716,f1116]) ).

fof(f1716,plain,
    ( ! [X21,X11,X8,X4] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_in(X8,X4,X11)
        | ~ c_in(X8,X21,X11) )
    | ~ spl0_211 ),
    inference(avatar_component_clause,[],[f1715]) ).

fof(f6634,plain,
    ( spl0_458
    | ~ spl0_329
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f6547,f5246,f3798,f6631]) ).

fof(f6631,plain,
    ( spl0_458
  <=> hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f3798,plain,
    ( spl0_329
  <=> ! [X0,X1] : hBOOL(hAPP(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f6547,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),c_Message_Oagent_OSpy))
    | ~ spl0_329
    | ~ spl0_389 ),
    inference(superposition,[],[f3799,f5247]) ).

fof(f3799,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_329 ),
    inference(avatar_component_clause,[],[f3798]) ).

fof(f6629,plain,
    ( spl0_457
    | ~ spl0_68
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1554,f1390,f760,f6627]) ).

fof(f6627,plain,
    ( spl0_457
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f760,plain,
    ( spl0_68
  <=> ! [X0,X11,X46] :
        ( ~ c_in(X0,X46,X11)
        | hBOOL(hAPP(X46,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1390,plain,
    ( spl0_178
  <=> ! [X9,X5,X8] :
        ( ~ c_in(X8,c_Message_Oanalz(X5),tc_Message_Omsg)
        | c_in(X8,c_Message_Oanalz(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1554,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),X0)) )
    | ~ spl0_68
    | ~ spl0_178 ),
    inference(resolution,[],[f1391,f761]) ).

fof(f761,plain,
    ( ! [X0,X46,X11] :
        ( ~ c_in(X0,X46,X11)
        | hBOOL(hAPP(X46,X0)) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1391,plain,
    ( ! [X8,X9,X5] :
        ( c_in(X8,c_Message_Oanalz(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Oanalz(X5),tc_Message_Omsg) )
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f6625,plain,
    ( spl0_456
    | ~ spl0_92
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1552,f1390,f905,f6623]) ).

fof(f6623,plain,
    ( spl0_456
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f905,plain,
    ( spl0_92
  <=> ! [X6,X8] :
        ( ~ c_in(X8,c_Message_Oanalz(X6),tc_Message_Omsg)
        | c_in(X8,c_Message_Oparts(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1552,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_92
    | ~ spl0_178 ),
    inference(resolution,[],[f1391,f906]) ).

fof(f906,plain,
    ( ! [X8,X6] :
        ( ~ c_in(X8,c_Message_Oanalz(X6),tc_Message_Omsg)
        | c_in(X8,c_Message_Oparts(X6),tc_Message_Omsg) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f6621,plain,
    ( spl0_455
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1486,f1364,f648,f6619]) ).

fof(f6619,plain,
    ( spl0_455
  <=> ! [X2,X0,X1] : c_List_Ofilter(X0,X1,X2) = c_List_Orev(c_List_Ofilter(X0,c_List_Orev(X1,X2),X2),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f648,plain,
    ( spl0_42
  <=> ! [X11,X10] : c_List_Orev(c_List_Orev(X10,X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1364,plain,
    ( spl0_172
  <=> ! [X12,X11,X10] : c_List_Orev(c_List_Ofilter(X12,X10,X11),X11) = c_List_Ofilter(X12,c_List_Orev(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1486,plain,
    ( ! [X2,X0,X1] : c_List_Ofilter(X0,X1,X2) = c_List_Orev(c_List_Ofilter(X0,c_List_Orev(X1,X2),X2),X2)
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(superposition,[],[f649,f1365]) ).

fof(f1365,plain,
    ( ! [X10,X11,X12] : c_List_Orev(c_List_Ofilter(X12,X10,X11),X11) = c_List_Ofilter(X12,c_List_Orev(X10,X11),X11)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f649,plain,
    ( ! [X10,X11] : c_List_Orev(c_List_Orev(X10,X11),X11) = X10
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f6617,plain,
    ( spl0_454
    | ~ spl0_142
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1476,f1356,f1167,f6615]) ).

fof(f6615,plain,
    ( spl0_454
  <=> ! [X0,X3,X2,X1] : c_in(X0,c_Event_Oused(c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X0),X3,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f1167,plain,
    ( spl0_142
  <=> ! [X35,X11,X0,X36] : c_in(X0,c_List_Oset(c_List_Oappend(X35,c_List_Olist_OCons(X0,X36,X11),X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1356,plain,
    ( spl0_170
  <=> ! [X2,X21,X3] :
        ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1476,plain,
    ( ! [X2,X3,X0,X1] : c_in(X0,c_Event_Oused(c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X0),X3,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
    | ~ spl0_142
    | ~ spl0_170 ),
    inference(resolution,[],[f1357,f1168]) ).

fof(f1168,plain,
    ( ! [X0,X36,X11,X35] : c_in(X0,c_List_Oset(c_List_Oappend(X35,c_List_Olist_OCons(X0,X36,X11),X11),X11),X11)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1357,plain,
    ( ! [X2,X21,X3] :
        ( ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
        | c_in(X2,c_Event_Oused(X3),tc_Message_Omsg) )
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f6613,plain,
    ( spl0_453
    | ~ spl0_68
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1437,f1328,f760,f6611]) ).

fof(f6611,plain,
    ( spl0_453
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f1328,plain,
    ( spl0_163
  <=> ! [X9,X5,X8] :
        ( ~ c_in(X8,c_Message_Oparts(X5),tc_Message_Omsg)
        | c_in(X8,c_Message_Oparts(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1437,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),X0)) )
    | ~ spl0_68
    | ~ spl0_163 ),
    inference(resolution,[],[f1329,f761]) ).

fof(f1329,plain,
    ( ! [X8,X9,X5] :
        ( c_in(X8,c_Message_Oparts(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Oparts(X5),tc_Message_Omsg) )
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f6609,plain,
    ( spl0_452
    | ~ spl0_119
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1265,f1163,f1014,f6607]) ).

fof(f6607,plain,
    ( spl0_452
  <=> ! [X2,X0,X1] :
        ( c_List_OtakeWhile(X0,X1,X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OdropWhile(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f1014,plain,
    ( spl0_119
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Oappend(X10,X16,X11) != X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1163,plain,
    ( spl0_141
  <=> ! [X12,X11,X10] : c_List_Oappend(c_List_OtakeWhile(X12,X10,X11),c_List_OdropWhile(X12,X10,X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1265,plain,
    ( ! [X2,X0,X1] :
        ( c_List_OtakeWhile(X0,X1,X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OdropWhile(X0,X1,X2) )
    | ~ spl0_119
    | ~ spl0_141 ),
    inference(superposition,[],[f1015,f1164]) ).

fof(f1164,plain,
    ( ! [X10,X11,X12] : c_List_Oappend(c_List_OtakeWhile(X12,X10,X11),c_List_OdropWhile(X12,X10,X11),X11) = X10
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1015,plain,
    ( ! [X10,X11,X16] :
        ( c_List_Oappend(X10,X16,X11) != X10
        | c_List_Olist_ONil(X11) = X16 )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f6605,plain,
    ( spl0_451
    | ~ spl0_118
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1264,f1163,f1010,f6603]) ).

fof(f6603,plain,
    ( spl0_451
  <=> ! [X2,X0,X1] :
        ( c_List_OdropWhile(X0,X1,X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OtakeWhile(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f1010,plain,
    ( spl0_118
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Oappend(X10,X16,X11) != X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1264,plain,
    ( ! [X2,X0,X1] :
        ( c_List_OdropWhile(X0,X1,X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OtakeWhile(X0,X1,X2) )
    | ~ spl0_118
    | ~ spl0_141 ),
    inference(superposition,[],[f1011,f1164]) ).

fof(f1011,plain,
    ( ! [X10,X11,X16] :
        ( c_List_Oappend(X10,X16,X11) != X16
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f6205,plain,
    ( spl0_450
    | ~ spl0_78
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f3396,f3127,f825,f6203]) ).

fof(f6203,plain,
    ( spl0_450
  <=> ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Odistinct(c_List_Obutlast(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f3127,plain,
    ( spl0_307
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Oappend(c_List_Obutlast(X10,X11),c_List_Olist_OCons(c_List_Olast(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f3396,plain,
    ( ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Odistinct(c_List_Obutlast(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 )
    | ~ spl0_78
    | ~ spl0_307 ),
    inference(superposition,[],[f826,f3128]) ).

fof(f3128,plain,
    ( ! [X10,X11] :
        ( c_List_Oappend(c_List_Obutlast(X10,X11),c_List_Olist_OCons(c_List_Olast(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f3127]) ).

fof(f6201,plain,
    ( spl0_449
    | ~ spl0_78
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f3367,f3123,f825,f6199]) ).

fof(f6199,plain,
    ( spl0_449
  <=> ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Odistinct(c_List_Osko__List__Xrev__cases__1__1(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f3123,plain,
    ( spl0_306
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Oappend(c_List_Osko__List__Xrev__cases__1__1(X10,X11),c_List_Olist_OCons(c_List_Osko__List__Xrev__cases__1__2(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f3367,plain,
    ( ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Odistinct(c_List_Osko__List__Xrev__cases__1__1(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 )
    | ~ spl0_78
    | ~ spl0_306 ),
    inference(superposition,[],[f826,f3124]) ).

fof(f3124,plain,
    ( ! [X10,X11] :
        ( c_List_Oappend(c_List_Osko__List__Xrev__cases__1__1(X10,X11),c_List_Olist_OCons(c_List_Osko__List__Xrev__cases__1__2(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_306 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f6197,plain,
    ( spl0_448
    | ~ spl0_142
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f3364,f3123,f1167,f6195]) ).

fof(f6195,plain,
    ( spl0_448
  <=> ! [X0,X1] :
        ( c_in(c_List_Osko__List__Xrev__cases__1__2(X0,X1),c_List_Oset(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f3364,plain,
    ( ! [X0,X1] :
        ( c_in(c_List_Osko__List__Xrev__cases__1__2(X0,X1),c_List_Oset(X0,X1),X1)
        | c_List_Olist_ONil(X1) = X0 )
    | ~ spl0_142
    | ~ spl0_306 ),
    inference(superposition,[],[f1168,f3124]) ).

fof(f6193,plain,
    ( spl0_447
    | ~ spl0_28
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2465,f2103,f585,f6191]) ).

fof(f6191,plain,
    ( spl0_447
  <=> ! [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_447])]) ).

fof(f585,plain,
    ( spl0_28
  <=> ! [X0,X11,X49] : c_List_Olist_OCons(X0,X49,X11) != X49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2465,plain,
    ( ! [X2,X3,X0,X1] : c_List_Oappend(X1,X2,X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3)
    | ~ spl0_28
    | ~ spl0_249 ),
    inference(superposition,[],[f586,f2104]) ).

fof(f586,plain,
    ( ! [X0,X49,X11] : c_List_Olist_OCons(X0,X49,X11) != X49
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f6189,plain,
    ( spl0_446
    | ~ spl0_76
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f2397,f2095,f816,f6187]) ).

fof(f6187,plain,
    ( spl0_446
  <=> ! [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_446])]) ).

fof(f2095,plain,
    ( spl0_247
  <=> ! [X11,X51,X0,X10] : c_List_Oappend(X10,c_List_Oappend(X0,X51,X11),X11) = c_List_Oappend(c_List_Oappend(X10,X0,X11),X51,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f2397,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_76
    | ~ spl0_247 ),
    inference(superposition,[],[f817,f2096]) ).

fof(f2096,plain,
    ( ! [X51,X10,X0,X11] : c_List_Oappend(X10,c_List_Oappend(X0,X51,X11),X11) = c_List_Oappend(c_List_Oappend(X10,X0,X11),X51,X11)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f2095]) ).

fof(f6185,plain,
    ( spl0_445
    | ~ spl0_85
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2280,f2052,f853,f6183]) ).

fof(f6183,plain,
    ( spl0_445
  <=> ! [X0,X3,X2,X1] : c_lessequals(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,X3),X3),tc_fun(X3,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f2052,plain,
    ( spl0_237
  <=> ! [X4,X21,X11,X0] :
        ( c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f2280,plain,
    ( ! [X2,X3,X0,X1] : c_lessequals(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,X3),X3),tc_fun(X3,tc_bool))
    | ~ spl0_85
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f854]) ).

fof(f2053,plain,
    ( ! [X21,X0,X11,X4] :
        ( ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool))
        | c_lessequals(X21,X4,tc_fun(X11,tc_bool)) )
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f2052]) ).

fof(f6181,plain,
    ( spl0_444
    | ~ spl0_93
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1930,f1719,f909,f6179]) ).

fof(f6179,plain,
    ( spl0_444
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Event_Oused(X0),X1))
        | ~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f909,plain,
    ( spl0_93
  <=> ! [X3] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1930,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Event_Oused(X0),X1))
        | ~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1)) )
    | ~ spl0_93
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f910]) ).

fof(f910,plain,
    ( ! [X3] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f6177,plain,
    ( spl0_443
    | ~ spl0_68
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1284,f1183,f760,f6175]) ).

fof(f6175,plain,
    ( spl0_443
  <=> ! [X0,X1] :
        ( c_List_Olist_ONil(X0) = X1
        | hBOOL(hAPP(c_List_Oset(X1,X0),c_List_Olast(X1,X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f1183,plain,
    ( spl0_146
  <=> ! [X11,X43] :
        ( c_List_Olist_ONil(X11) = X43
        | c_in(c_List_Olast(X43,X11),c_List_Oset(X43,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1284,plain,
    ( ! [X0,X1] :
        ( c_List_Olist_ONil(X0) = X1
        | hBOOL(hAPP(c_List_Oset(X1,X0),c_List_Olast(X1,X0))) )
    | ~ spl0_68
    | ~ spl0_146 ),
    inference(resolution,[],[f1184,f761]) ).

fof(f1184,plain,
    ( ! [X11,X43] :
        ( c_in(c_List_Olast(X43,X11),c_List_Oset(X43,X11),X11)
        | c_List_Olist_ONil(X11) = X43 )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f6173,plain,
    ( spl0_442
    | ~ spl0_69
    | ~ spl0_434 ),
    inference(avatar_split_clause,[],[f6090,f5904,f764,f6171]) ).

fof(f6171,plain,
    ( spl0_442
  <=> ! [X2,X0,X1] : c_in(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f764,plain,
    ( spl0_69
  <=> ! [X0,X11,X46] :
        ( ~ hBOOL(hAPP(X46,X0))
        | c_in(X0,X46,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f5904,plain,
    ( spl0_434
  <=> ! [X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Event_Obad,X0),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f6090,plain,
    ( ! [X2,X0,X1] : c_in(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,X1),X2)
    | ~ spl0_69
    | ~ spl0_434 ),
    inference(resolution,[],[f5905,f765]) ).

fof(f765,plain,
    ( ! [X46,X0,X11] :
        ( ~ hBOOL(hAPP(X46,X0))
        | c_in(X0,X46,X11) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f5905,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Event_Obad,X0),c_Message_Oagent_OSpy))
    | ~ spl0_434 ),
    inference(avatar_component_clause,[],[f5904]) ).

fof(f6169,plain,
    ( spl0_441
    | ~ spl0_68
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1277,f1179,f760,f6167]) ).

fof(f6167,plain,
    ( spl0_441
  <=> ! [X0,X1] :
        ( c_List_Olist_ONil(X0) = X1
        | hBOOL(hAPP(c_List_Oset(X1,X0),c_List_Ohd(X1,X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f1179,plain,
    ( spl0_145
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_in(c_List_Ohd(X10,X11),c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1277,plain,
    ( ! [X0,X1] :
        ( c_List_Olist_ONil(X0) = X1
        | hBOOL(hAPP(c_List_Oset(X1,X0),c_List_Ohd(X1,X0))) )
    | ~ spl0_68
    | ~ spl0_145 ),
    inference(resolution,[],[f1180,f761]) ).

fof(f1180,plain,
    ( ! [X10,X11] :
        ( c_in(c_List_Ohd(X10,X11),c_List_Oset(X10,X11),X11)
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f6165,plain,
    ( spl0_440
    | ~ spl0_68
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1273,f1167,f760,f6163]) ).

fof(f6163,plain,
    ( spl0_440
  <=> ! [X2,X0,X1,X3] : hBOOL(hAPP(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f1273,plain,
    ( ! [X2,X3,X0,X1] : hBOOL(hAPP(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),X1))
    | ~ spl0_68
    | ~ spl0_142 ),
    inference(resolution,[],[f1168,f761]) ).

fof(f6161,plain,
    ( spl0_439
    | ~ spl0_88
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1041,f969,f866,f6159]) ).

fof(f6159,plain,
    ( spl0_439
  <=> ! [X0,X1] :
        ( c_Message_Oanalz(X1) = c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f866,plain,
    ( spl0_88
  <=> ! [X6,X2] :
        ( ~ c_in(X2,X6,tc_Message_Omsg)
        | c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f969,plain,
    ( spl0_108
  <=> ! [X9,X21,X11] :
        ( ~ c_in(X9,X21,X11)
        | c_Set_Oinsert(X9,X21,X11) = X21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1041,plain,
    ( ! [X0,X1] :
        ( c_Message_Oanalz(X1) = c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) )
    | ~ spl0_88
    | ~ spl0_108 ),
    inference(resolution,[],[f970,f867]) ).

fof(f867,plain,
    ( ! [X2,X6] :
        ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
        | ~ c_in(X2,X6,tc_Message_Omsg) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f970,plain,
    ( ! [X21,X11,X9] :
        ( ~ c_in(X9,X21,X11)
        | c_Set_Oinsert(X9,X21,X11) = X21 )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f6157,plain,
    ( spl0_438
    | ~ spl0_71
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1040,f969,f796,f6155]) ).

fof(f6155,plain,
    ( spl0_438
  <=> ! [X0,X1] :
        ( c_Message_Osynth(X1) = c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f796,plain,
    ( spl0_71
  <=> ! [X6,X2] :
        ( ~ c_in(X2,X6,tc_Message_Omsg)
        | c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1040,plain,
    ( ! [X0,X1] :
        ( c_Message_Osynth(X1) = c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) )
    | ~ spl0_71
    | ~ spl0_108 ),
    inference(resolution,[],[f970,f797]) ).

fof(f797,plain,
    ( ! [X2,X6] :
        ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
        | ~ c_in(X2,X6,tc_Message_Omsg) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f6153,plain,
    ( spl0_437
    | ~ spl0_70
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1039,f969,f792,f6151]) ).

fof(f6151,plain,
    ( spl0_437
  <=> ! [X0,X1] :
        ( c_Message_Oparts(X1) = c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f792,plain,
    ( spl0_70
  <=> ! [X6,X2] :
        ( ~ c_in(X2,X6,tc_Message_Omsg)
        | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1039,plain,
    ( ! [X0,X1] :
        ( c_Message_Oparts(X1) = c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) )
    | ~ spl0_70
    | ~ spl0_108 ),
    inference(resolution,[],[f970,f793]) ).

fof(f793,plain,
    ( ! [X2,X6] :
        ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
        | ~ c_in(X2,X6,tc_Message_Omsg) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f6149,plain,
    ( spl0_436
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f786,f732,f708,f6147]) ).

fof(f6147,plain,
    ( spl0_436
  <=> ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Orotate1(X0,X1) = c_List_Oremdups(c_List_Orotate1(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f708,plain,
    ( spl0_55
  <=> ! [X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Oremdups(X10,X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f732,plain,
    ( spl0_61
  <=> ! [X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_Orotate1(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f786,plain,
    ( ! [X0,X1] :
        ( ~ c_List_Odistinct(X0,X1)
        | c_List_Orotate1(X0,X1) = c_List_Oremdups(c_List_Orotate1(X0,X1),X1) )
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(resolution,[],[f733,f709]) ).

fof(f709,plain,
    ( ! [X10,X11] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Oremdups(X10,X11) = X10 )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f733,plain,
    ( ! [X10,X11] :
        ( c_List_Odistinct(c_List_Orotate1(X10,X11),X11)
        | ~ c_List_Odistinct(X10,X11) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f6145,plain,
    ( spl0_435
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f783,f708,f696,f6143]) ).

fof(f6143,plain,
    ( spl0_435
  <=> ! [X0,X1] :
        ( c_List_Orev(X0,X1) = c_List_Oremdups(c_List_Orev(X0,X1),X1)
        | ~ c_List_Odistinct(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f696,plain,
    ( spl0_52
  <=> ! [X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_Orev(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f783,plain,
    ( ! [X0,X1] :
        ( c_List_Orev(X0,X1) = c_List_Oremdups(c_List_Orev(X0,X1),X1)
        | ~ c_List_Odistinct(X0,X1) )
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(resolution,[],[f709,f697]) ).

fof(f697,plain,
    ( ! [X10,X11] :
        ( c_List_Odistinct(c_List_Orev(X10,X11),X11)
        | ~ c_List_Odistinct(X10,X11) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f5906,plain,
    ( spl0_434
    | ~ spl0_123
    | ~ spl0_405 ),
    inference(avatar_split_clause,[],[f5678,f5537,f1049,f5904]) ).

fof(f1049,plain,
    ( spl0_123
  <=> ! [X0] : c_Event_Obad = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f5537,plain,
    ( spl0_405
  <=> ! [X2,X0,X1,X3] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f5678,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Event_Obad,X0),c_Message_Oagent_OSpy))
    | ~ spl0_123
    | ~ spl0_405 ),
    inference(superposition,[],[f5538,f1050]) ).

fof(f1050,plain,
    ( ! [X0] : c_Event_Obad = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,X0)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f5538,plain,
    ( ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X0))
    | ~ spl0_405 ),
    inference(avatar_component_clause,[],[f5537]) ).

fof(f5823,plain,
    ( spl0_433
    | ~ spl0_58
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f2898,f2796,f720,f5821]) ).

fof(f5821,plain,
    ( spl0_433
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X2,c_List_Oset(c_List_Olist_ONil(X1),X1),X1)
        | ~ hBOOL(hAPP(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f720,plain,
    ( spl0_58
  <=> ! [X12,X11] : c_List_Olist_ONil(X11) = c_List_Ofilter(X12,c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2796,plain,
    ( spl0_279
  <=> ! [X10,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X0))
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Ofilter(X12,X10,X11) != c_List_Olist_ONil(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f2898,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X2,c_List_Oset(c_List_Olist_ONil(X1),X1),X1)
        | ~ hBOOL(hAPP(X0,X2)) )
    | ~ spl0_58
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f2896]) ).

fof(f2896,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X1) != c_List_Olist_ONil(X1)
        | ~ c_in(X2,c_List_Oset(c_List_Olist_ONil(X1),X1),X1)
        | ~ hBOOL(hAPP(X0,X2)) )
    | ~ spl0_58
    | ~ spl0_279 ),
    inference(superposition,[],[f2797,f721]) ).

fof(f721,plain,
    ( ! [X11,X12] : c_List_Olist_ONil(X11) = c_List_Ofilter(X12,c_List_Olist_ONil(X11),X11)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2797,plain,
    ( ! [X10,X0,X11,X12] :
        ( c_List_Ofilter(X12,X10,X11) != c_List_Olist_ONil(X11)
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ hBOOL(hAPP(X12,X0)) )
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f2796]) ).

fof(f5810,plain,
    ( spl0_432
    | ~ spl0_7
    | ~ spl0_34
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2738,f2594,f616,f495,f5808]) ).

fof(f5808,plain,
    ( spl0_432
  <=> ! [X0,X1] : c_lessequals(hAPP(X0,X1),hAPP(c_Message_Osynth(X0),X1),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f2738,plain,
    ( ! [X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(X0,X1),hAPP(c_Message_Osynth(X0),X1),tc_bool) )
    | ~ spl0_34
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f617]) ).

fof(f5798,plain,
    ( spl0_431
    | ~ spl0_7
    | ~ spl0_43
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2737,f2594,f652,f495,f5796]) ).

fof(f5796,plain,
    ( spl0_431
  <=> ! [X0,X1] : c_lessequals(hAPP(X0,X1),hAPP(c_Message_Oanalz(X0),X1),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f2737,plain,
    ( ! [X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(X0,X1),hAPP(c_Message_Oanalz(X0),X1),tc_bool) )
    | ~ spl0_43
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f653]) ).

fof(f5786,plain,
    ( spl0_430
    | ~ spl0_7
    | ~ spl0_32
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2734,f2594,f608,f495,f5784]) ).

fof(f5784,plain,
    ( spl0_430
  <=> ! [X0,X1] : c_lessequals(hAPP(X0,X1),hAPP(c_Message_Oparts(X0),X1),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f2734,plain,
    ( ! [X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(X0,X1),hAPP(c_Message_Oparts(X0),X1),tc_bool) )
    | ~ spl0_32
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f609]) ).

fof(f5782,plain,
    ( spl0_429
    | ~ spl0_67
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2468,f2103,f756,f5780]) ).

fof(f5780,plain,
    ( spl0_429
  <=> ! [X0,X3,X2,X1] : c_List_Ohd(c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f756,plain,
    ( spl0_67
  <=> ! [X0,X11,X10] : c_List_Ohd(c_List_Olist_OCons(X0,X10,X11),X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2468,plain,
    ( ! [X2,X3,X0,X1] : c_List_Ohd(c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),X3) = X0
    | ~ spl0_67
    | ~ spl0_249 ),
    inference(superposition,[],[f757,f2104]) ).

fof(f757,plain,
    ( ! [X10,X0,X11] : c_List_Ohd(c_List_Olist_OCons(X0,X10,X11),X11) = X0
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f5778,plain,
    ( spl0_428
    | ~ spl0_78
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2366,f2084,f825,f5776]) ).

fof(f5776,plain,
    ( spl0_428
  <=> ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2),X2)
        | c_List_Odistinct(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f2366,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_List_Odistinct(c_List_Orotate1(c_List_Olist_OCons(X1,X0,X2),X2),X2)
        | c_List_Odistinct(X0,X2) )
    | ~ spl0_78
    | ~ spl0_245 ),
    inference(superposition,[],[f826,f2085]) ).

fof(f5774,plain,
    ( spl0_427
    | ~ spl0_34
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2345,f2072,f616,f5772]) ).

fof(f5772,plain,
    ( spl0_427
  <=> ! [X0] :
        ( c_Message_Osynth(X0) = X0
        | ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f2345,plain,
    ( ! [X0] :
        ( c_Message_Osynth(X0) = X0
        | ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_34
    | ~ spl0_242 ),
    inference(resolution,[],[f2073,f617]) ).

fof(f5770,plain,
    ( spl0_426
    | ~ spl0_43
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2344,f2072,f652,f5768]) ).

fof(f5768,plain,
    ( spl0_426
  <=> ! [X0] :
        ( c_Message_Oanalz(X0) = X0
        | ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f2344,plain,
    ( ! [X0] :
        ( c_Message_Oanalz(X0) = X0
        | ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_43
    | ~ spl0_242 ),
    inference(resolution,[],[f2073,f653]) ).

fof(f5766,plain,
    ( spl0_425
    | ~ spl0_32
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2341,f2072,f608,f5764]) ).

fof(f5764,plain,
    ( spl0_425
  <=> ! [X0] :
        ( c_Message_Oparts(X0) = X0
        | ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f2341,plain,
    ( ! [X0] :
        ( c_Message_Oparts(X0) = X0
        | ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_32
    | ~ spl0_242 ),
    inference(resolution,[],[f2073,f609]) ).

fof(f5757,plain,
    ( spl0_424
    | ~ spl0_215
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2271,f2052,f1736,f5755]) ).

fof(f5755,plain,
    ( spl0_424
  <=> ! [X0,X1] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f1736,plain,
    ( spl0_215
  <=> ! [X6,X2] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f2271,plain,
    ( ! [X0,X1] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_215
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f1737]) ).

fof(f1737,plain,
    ( ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f5753,plain,
    ( spl0_423
    | ~ spl0_207
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2270,f2052,f1699,f5751]) ).

fof(f5751,plain,
    ( spl0_423
  <=> ! [X0,X1] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f1699,plain,
    ( spl0_207
  <=> ! [X6,X2] : c_lessequals(c_Set_Oinsert(X2,c_Message_Osynth(X6),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f2270,plain,
    ( ! [X0,X1] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_207
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f1700]) ).

fof(f1700,plain,
    ( ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Osynth(X6),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f5749,plain,
    ( spl0_422
    | ~ spl0_190
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2269,f2052,f1631,f5747]) ).

fof(f5747,plain,
    ( spl0_422
  <=> ! [X0,X1] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f1631,plain,
    ( spl0_190
  <=> ! [X6,X2] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oparts(X6),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f2269,plain,
    ( ! [X0,X1] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_190
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f1632]) ).

fof(f1632,plain,
    ( ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oparts(X6),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1631]) ).

fof(f5745,plain,
    ( spl0_421
    | ~ spl0_34
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2170,f2012,f616,f5743]) ).

fof(f5743,plain,
    ( spl0_421
  <=> ! [X0] :
        ( c_Message_Osynth(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f2170,plain,
    ( ! [X0] :
        ( c_Message_Osynth(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_34
    | ~ spl0_227 ),
    inference(resolution,[],[f2013,f617]) ).

fof(f5741,plain,
    ( spl0_420
    | ~ spl0_43
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2169,f2012,f652,f5739]) ).

fof(f5739,plain,
    ( spl0_420
  <=> ! [X0] :
        ( c_Message_Oanalz(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f2169,plain,
    ( ! [X0] :
        ( c_Message_Oanalz(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_43
    | ~ spl0_227 ),
    inference(resolution,[],[f2013,f653]) ).

fof(f5737,plain,
    ( spl0_419
    | ~ spl0_32
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2167,f2012,f608,f5735]) ).

fof(f5735,plain,
    ( spl0_419
  <=> ! [X0] :
        ( c_Message_Oparts(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f2167,plain,
    ( ! [X0] :
        ( c_Message_Oparts(X0) = X0
        | c_HOL_Oord__class_Oless(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) )
    | ~ spl0_32
    | ~ spl0_227 ),
    inference(resolution,[],[f2013,f609]) ).

fof(f5733,plain,
    ( spl0_418
    | ~ spl0_84
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1929,f1719,f849,f5731]) ).

fof(f5731,plain,
    ( spl0_418
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Event_Oused(X0),X1))
        | ~ hBOOL(hAPP(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f1929,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Event_Oused(X0),X1))
        | ~ hBOOL(hAPP(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),X1)) )
    | ~ spl0_84
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f850]) ).

fof(f5729,plain,
    ( spl0_417
    | ~ spl0_84
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1907,f1715,f849,f5727]) ).

fof(f5727,plain,
    ( spl0_417
  <=> ! [X0,X1] :
        ( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f1907,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
    | ~ spl0_84
    | ~ spl0_211 ),
    inference(resolution,[],[f1716,f850]) ).

fof(f5725,plain,
    ( spl0_416
    | ~ spl0_63
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1551,f1386,f740,f5723]) ).

fof(f5723,plain,
    ( spl0_416
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X2,c_List_Oset(c_List_Olist_ONil(X1),X1),X1)
        | hBOOL(hAPP(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f740,plain,
    ( spl0_63
  <=> ! [X12,X11] : c_List_Olist_ONil(X11) = c_List_OtakeWhile(X12,c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1386,plain,
    ( spl0_177
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X12,X10,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1551,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X2,c_List_Oset(c_List_Olist_ONil(X1),X1),X1)
        | hBOOL(hAPP(X0,X2)) )
    | ~ spl0_63
    | ~ spl0_177 ),
    inference(superposition,[],[f1387,f741]) ).

fof(f741,plain,
    ( ! [X11,X12] : c_List_Olist_ONil(X11) = c_List_OtakeWhile(X12,c_List_Olist_ONil(X11),X11)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1387,plain,
    ( ! [X10,X0,X11,X12] :
        ( ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X12,X10,X11),X11),X11)
        | hBOOL(hAPP(X12,X0)) )
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f5721,plain,
    ( spl0_415
    | ~ spl0_134
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1269,f1163,f1107,f5719]) ).

fof(f5719,plain,
    ( spl0_415
  <=> ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OdropWhile(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f1107,plain,
    ( spl0_134
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1269,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OdropWhile(X0,X1,X2) )
    | ~ spl0_134
    | ~ spl0_141 ),
    inference(superposition,[],[f1108,f1164]) ).

fof(f1108,plain,
    ( ! [X10,X11,X16] :
        ( c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11)
        | c_List_Olist_ONil(X11) = X16 )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f5717,plain,
    ( spl0_414
    | ~ spl0_364
    | ~ spl0_384 ),
    inference(avatar_split_clause,[],[f5518,f5086,f4517,f5715]) ).

fof(f5715,plain,
    ( spl0_414
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f5086,plain,
    ( spl0_384
  <=> ! [X0] : c_Message_Oparts(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f5518,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),X0)
    | ~ spl0_364
    | ~ spl0_384 ),
    inference(superposition,[],[f4518,f5087]) ).

fof(f5087,plain,
    ( ! [X0] : c_Message_Oparts(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)
    | ~ spl0_384 ),
    inference(avatar_component_clause,[],[f5086]) ).

fof(f5713,plain,
    ( spl0_413
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1268,f1163,f1103,f5711]) ).

fof(f5711,plain,
    ( spl0_413
  <=> ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OtakeWhile(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f1268,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Olist_ONil(X2) != X1
        | c_List_Olist_ONil(X2) = c_List_OtakeWhile(X0,X1,X2) )
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(superposition,[],[f1104,f1164]) ).

fof(f5709,plain,
    ( spl0_412
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1251,f1151,f792,f5707]) ).

fof(f5707,plain,
    ( spl0_412
  <=> ! [X0,X1] :
        ( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f1151,plain,
    ( spl0_138
  <=> ! [X8,X3] :
        ( c_in(X8,c_Event_Oused(X3),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1251,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(resolution,[],[f1152,f793]) ).

fof(f1152,plain,
    ( ! [X3,X8] :
        ( ~ c_in(X8,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | c_in(X8,c_Event_Oused(X3),tc_Message_Omsg) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f5705,plain,
    ( spl0_411
    | ~ spl0_70
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1248,f1147,f792,f5703]) ).

fof(f5703,plain,
    ( spl0_411
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f1147,plain,
    ( spl0_137
  <=> ! [X6,X2,X7] :
        ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1248,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg) )
    | ~ spl0_70
    | ~ spl0_137 ),
    inference(resolution,[],[f1148,f793]) ).

fof(f1148,plain,
    ( ! [X2,X6,X7] :
        ( ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X6),tc_Message_Omsg)
        | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f5701,plain,
    ( spl0_410
    | ~ spl0_69
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1144,f1111,f764,f5699]) ).

fof(f5699,plain,
    ( spl0_410
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ hBOOL(hAPP(X0,X1))
        | c_in(X1,c_Set_Oinsert(X2,X0,X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f1111,plain,
    ( spl0_135
  <=> ! [X11,X0,X21,X1] :
        ( ~ hBOOL(hAPP(X21,X0))
        | hBOOL(hAPP(c_Set_Oinsert(X1,X21,X11),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1144,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ hBOOL(hAPP(X0,X1))
        | c_in(X1,c_Set_Oinsert(X2,X0,X3),X4) )
    | ~ spl0_69
    | ~ spl0_135 ),
    inference(resolution,[],[f1112,f765]) ).

fof(f1112,plain,
    ( ! [X21,X0,X11,X1] :
        ( hBOOL(hAPP(c_Set_Oinsert(X1,X21,X11),X0))
        | ~ hBOOL(hAPP(X21,X0)) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f5697,plain,
    ( spl0_409
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1126,f1087,f760,f5695]) ).

fof(f5695,plain,
    ( spl0_409
  <=> ! [X2,X0,X1,X3] :
        ( ~ c_in(X0,X1,X2)
        | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f1087,plain,
    ( spl0_129
  <=> ! [X4,X11,X9,X33] :
        ( ~ c_in(X9,X4,X11)
        | c_in(X9,c_Set_Oinsert(X33,X4,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1126,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(X0,X1,X2)
        | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X2),X0)) )
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(resolution,[],[f1088,f761]) ).

fof(f1088,plain,
    ( ! [X11,X9,X4,X33] :
        ( c_in(X9,c_Set_Oinsert(X33,X4,X11),X11)
        | ~ c_in(X9,X4,X11) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f5600,plain,
    ( spl0_408
    | ~ spl0_329
    | ~ spl0_384 ),
    inference(avatar_split_clause,[],[f5513,f5086,f3798,f5597]) ).

fof(f5597,plain,
    ( spl0_408
  <=> hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f5513,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),c_Message_Oagent_OSpy))
    | ~ spl0_329
    | ~ spl0_384 ),
    inference(superposition,[],[f3799,f5087]) ).

fof(f5547,plain,
    ( spl0_407
    | ~ spl0_7
    | ~ spl0_24
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2727,f2594,f569,f495,f5545]) ).

fof(f5545,plain,
    ( spl0_407
  <=> ! [X0,X1] : c_lessequals(hAPP(X0,X1),hAPP(X0,X1),tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f569,plain,
    ( spl0_24
  <=> ! [X21,X11] : c_lessequals(X21,X21,tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2727,plain,
    ( ! [X0,X1] :
        ( ~ class_HOL_Oord(tc_bool)
        | c_lessequals(hAPP(X0,X1),hAPP(X0,X1),tc_bool) )
    | ~ spl0_24
    | ~ spl0_269 ),
    inference(resolution,[],[f2595,f570]) ).

fof(f570,plain,
    ( ! [X21,X11] : c_lessequals(X21,X21,tc_fun(X11,tc_bool))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f5543,plain,
    ( spl0_406
    | ~ spl0_48
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2466,f2103,f672,f5541]) ).

fof(f5541,plain,
    ( spl0_406
  <=> ! [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_406])]) ).

fof(f2466,plain,
    ( ! [X2,X3,X0,X1] : c_List_Olist_ONil(X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3)
    | ~ spl0_48
    | ~ spl0_249 ),
    inference(superposition,[],[f673,f2104]) ).

fof(f5539,plain,
    ( spl0_405
    | ~ spl0_45
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f2425,f2099,f660,f5537]) ).

fof(f660,plain,
    ( spl0_45
  <=> ! [X0,X11,X21] : hBOOL(hAPP(c_Set_Oinsert(X0,X21,X11),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2099,plain,
    ( spl0_248
  <=> ! [X11,X0,X21,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X21,X11),X11) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X21,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f2425,plain,
    ( ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X0))
    | ~ spl0_45
    | ~ spl0_248 ),
    inference(superposition,[],[f661,f2100]) ).

fof(f2100,plain,
    ( ! [X21,X0,X11,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X21,X11),X11) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X21,X11),X11)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f2099]) ).

fof(f661,plain,
    ( ! [X21,X0,X11] : hBOOL(hAPP(c_Set_Oinsert(X0,X21,X11),X0))
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f5535,plain,
    ( spl0_404
    | ~ spl0_34
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2282,f2052,f616,f5533]) ).

fof(f5533,plain,
    ( spl0_404
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f2282,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_34
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f617]) ).

fof(f5478,plain,
    ( spl0_403
    | ~ spl0_43
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2281,f2052,f652,f5476]) ).

fof(f5476,plain,
    ( spl0_403
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f2281,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_43
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f653]) ).

fof(f5474,plain,
    ( spl0_402
    | ~ spl0_32
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2279,f2052,f608,f5472]) ).

fof(f5472,plain,
    ( spl0_402
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f2279,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ spl0_32
    | ~ spl0_237 ),
    inference(resolution,[],[f2053,f609]) ).

fof(f5470,plain,
    ( spl0_401
    | ~ spl0_51
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1934,f1719,f692,f5468]) ).

fof(f5468,plain,
    ( spl0_401
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oparts(X0),X1))
        | ~ hBOOL(hAPP(c_Message_Oanalz(X0),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f1934,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oparts(X0),X1))
        | ~ hBOOL(hAPP(c_Message_Oanalz(X0),X1)) )
    | ~ spl0_51
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f693]) ).

fof(f5466,plain,
    ( spl0_400
    | ~ spl0_46
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1316,f1245,f664,f5464]) ).

fof(f5464,plain,
    ( spl0_400
  <=> ! [X2,X0,X1] :
        ( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f1245,plain,
    ( spl0_161
  <=> ! [X10,X11,X16,X45] :
        ( X16 = X45
        | c_List_Oappend(X16,X10,X11) != c_List_Oappend(X45,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1316,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
        | X0 = X2 )
    | ~ spl0_46
    | ~ spl0_161 ),
    inference(superposition,[],[f1246,f665]) ).

fof(f1246,plain,
    ( ! [X10,X11,X16,X45] :
        ( c_List_Oappend(X16,X10,X11) != c_List_Oappend(X45,X10,X11)
        | X16 = X45 )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1245]) ).

fof(f5462,plain,
    ( spl0_399
    | ~ spl0_47
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1310,f1241,f668,f5460]) ).

fof(f5460,plain,
    ( spl0_399
  <=> ! [X2,X0,X1] :
        ( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f1241,plain,
    ( spl0_160
  <=> ! [X10,X11,X16,X45] :
        ( X16 = X45
        | c_List_Oappend(X10,X16,X11) != c_List_Oappend(X10,X45,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1310,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
        | X1 = X2 )
    | ~ spl0_47
    | ~ spl0_160 ),
    inference(superposition,[],[f1242,f669]) ).

fof(f1242,plain,
    ( ! [X10,X11,X16,X45] :
        ( c_List_Oappend(X10,X16,X11) != c_List_Oappend(X10,X45,X11)
        | X16 = X45 )
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f5458,plain,
    ( spl0_398
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1056,f998,f648,f5456]) ).

fof(f5456,plain,
    ( spl0_398
  <=> ! [X2,X0,X1] :
        ( c_List_Orev(X2,X1) != X0
        | c_List_Orev(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f998,plain,
    ( spl0_115
  <=> ! [X16,X11,X10] :
        ( X10 = X16
        | c_List_Orev(X10,X11) != c_List_Orev(X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1056,plain,
    ( ! [X2,X0,X1] :
        ( c_List_Orev(X2,X1) != X0
        | c_List_Orev(X0,X1) = X2 )
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(superposition,[],[f999,f649]) ).

fof(f999,plain,
    ( ! [X10,X11,X16] :
        ( c_List_Orev(X10,X11) != c_List_Orev(X16,X11)
        | X10 = X16 )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f5454,plain,
    ( spl0_397
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1045,f973,f648,f5452]) ).

fof(f5452,plain,
    ( spl0_397
  <=> ! [X0,X1] :
        ( c_List_Olist_ONil(X1) != X0
        | c_List_Orev(X0,X1) = c_List_Olist_ONil(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f973,plain,
    ( spl0_109
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Orev(X10,X11) != c_List_Olist_ONil(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1045,plain,
    ( ! [X0,X1] :
        ( c_List_Olist_ONil(X1) != X0
        | c_List_Orev(X0,X1) = c_List_Olist_ONil(X1) )
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(superposition,[],[f974,f649]) ).

fof(f974,plain,
    ( ! [X10,X11] :
        ( c_List_Orev(X10,X11) != c_List_Olist_ONil(X11)
        | c_List_Olist_ONil(X11) = X10 )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f5412,plain,
    ( spl0_396
    | ~ spl0_108
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f3439,f3294,f969,f5410]) ).

fof(f5410,plain,
    ( spl0_396
  <=> ! [X0] : c_Message_Osynth(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f3294,plain,
    ( spl0_309
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f3439,plain,
    ( ! [X0] : c_Message_Osynth(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0)
    | ~ spl0_108
    | ~ spl0_309 ),
    inference(resolution,[],[f3295,f970]) ).

fof(f3295,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0)
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f3294]) ).

fof(f5408,plain,
    ( spl0_395
    | ~ spl0_34
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1928,f1719,f616,f5406]) ).

fof(f5406,plain,
    ( spl0_395
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Osynth(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f1928,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Osynth(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) )
    | ~ spl0_34
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f617]) ).

fof(f5404,plain,
    ( spl0_394
    | ~ spl0_43
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1927,f1719,f652,f5402]) ).

fof(f5402,plain,
    ( spl0_394
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oanalz(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f1927,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oanalz(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) )
    | ~ spl0_43
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f653]) ).

fof(f5400,plain,
    ( spl0_393
    | ~ spl0_32
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1925,f1719,f608,f5398]) ).

fof(f5398,plain,
    ( spl0_393
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oparts(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f1925,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(c_Message_Oparts(X0),X1))
        | ~ hBOOL(hAPP(X0,X1)) )
    | ~ spl0_32
    | ~ spl0_212 ),
    inference(resolution,[],[f1720,f609]) ).

fof(f5374,plain,
    spl0_392,
    inference(avatar_split_clause,[],[f454,f5372]) ).

fof(f5372,plain,
    ( spl0_392
  <=> ! [X2,X21,X3] :
        ( c_Message_Oagent_OSpy = X21
        | c_in(X2,c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
        | ~ c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
        | c_in(c_Event_Oevent_OGets(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
        | c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
        | c_in(c_Event_Oevent_OSays(X21,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X21,X2,X3),X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f454,plain,
    ! [X2,X21,X3] :
      ( c_Message_Oagent_OSpy = X21
      | c_in(X2,c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | ~ c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OGets(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X21,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X21,X2,X3),X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(definition_unfolding,[],[f236,f375]) ).

fof(f375,axiom,
    ! [X21] : c_Event_OinitState(X21) = c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).

fof(f236,axiom,
    ! [X2,X21,X3] :
      ( c_Message_Oagent_OSpy = X21
      | c_in(X2,c_Event_OinitState(X21),tc_Message_Omsg)
      | ~ c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OGets(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X21,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X21,X2,X3),X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).

fof(f5297,plain,
    spl0_391,
    inference(avatar_split_clause,[],[f334,f5295]) ).

fof(f5295,plain,
    ( spl0_391
  <=> ! [X35,X11,X0,X12,X36] :
        ( ~ hBOOL(hAPP(X12,X35))
        | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11),c_List_Oset(X36,X11),X11)
        | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f334,axiom,
    ! [X0,X36,X11,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11),c_List_Oset(X36,X11),X11)
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_3) ).

fof(f5293,plain,
    spl0_390,
    inference(avatar_split_clause,[],[f284,f5291]) ).

fof(f5291,plain,
    ( spl0_390
  <=> ! [X35,X36,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X35))
        | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11),c_List_Oset(X0,X11),X11)
        | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f284,axiom,
    ! [X0,X11,X36,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11),c_List_Oset(X0,X11),X11)
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_3) ).

fof(f5248,plain,
    ( spl0_389
    | ~ spl0_108
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f2760,f2678,f969,f5246]) ).

fof(f2678,plain,
    ( spl0_274
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f2760,plain,
    ( ! [X0] : c_Message_Oanalz(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)
    | ~ spl0_108
    | ~ spl0_274 ),
    inference(resolution,[],[f2679,f970]) ).

fof(f2679,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f2678]) ).

fof(f5203,plain,
    spl0_388,
    inference(avatar_split_clause,[],[f317,f5201]) ).

fof(f5201,plain,
    ( spl0_388
  <=> ! [X35,X36,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X35))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11)))
        | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f317,axiom,
    ! [X0,X11,X36,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11)))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_5) ).

fof(f5199,plain,
    spl0_387,
    inference(avatar_split_clause,[],[f272,f5197]) ).

fof(f5197,plain,
    ( spl0_387
  <=> ! [X35,X11,X0,X12,X36] :
        ( ~ hBOOL(hAPP(X12,X35))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11)))
        | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f272,axiom,
    ! [X0,X36,X11,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11)))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_5) ).

fof(f5176,plain,
    spl0_386,
    inference(avatar_split_clause,[],[f294,f5174]) ).

fof(f5174,plain,
    ( spl0_386
  <=> ! [X15,X11,X0,X14,X16,X1] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_lessequals(hAPP(X15,X0),hAPP(X15,X1),X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_OCons(X1,X16,X11),X11,X14) = c_List_Olist_OCons(X1,c_List_Olinorder__class_Oinsort__key(X15,X0,X16,X11,X14),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f294,axiom,
    ! [X0,X11,X1,X16,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_lessequals(hAPP(X15,X0),hAPP(X15,X1),X14)
      | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_OCons(X1,X16,X11),X11,X14) = c_List_Olist_OCons(X1,c_List_Olinorder__class_Oinsort__key(X15,X0,X16,X11,X14),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insort__key_Osimps_I2_J_1) ).

fof(f5161,plain,
    spl0_385,
    inference(avatar_split_clause,[],[f262,f5159]) ).

fof(f5159,plain,
    ( spl0_385
  <=> ! [X15,X11,X0,X14,X16,X1] :
        ( ~ class_Orderings_Olinorder(X14)
        | ~ c_lessequals(hAPP(X15,X0),hAPP(X15,X1),X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_OCons(X1,X16,X11),X11,X14) = c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f262,axiom,
    ! [X0,X11,X1,X16,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | ~ c_lessequals(hAPP(X15,X0),hAPP(X15,X1),X14)
      | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_OCons(X1,X16,X11),X11,X14) = c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insort__key_Osimps_I2_J_0) ).

fof(f5088,plain,
    ( spl0_384
    | ~ spl0_108
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f2092,f2048,f969,f5086]) ).

fof(f2048,plain,
    ( spl0_236
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2092,plain,
    ( ! [X0] : c_Message_Oparts(c_Event_Obad) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)
    | ~ spl0_108
    | ~ spl0_236 ),
    inference(resolution,[],[f2049,f970]) ).

fof(f2049,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f2048]) ).

fof(f4924,plain,
    spl0_383,
    inference(avatar_split_clause,[],[f365,f4922]) ).

fof(f4922,plain,
    ( spl0_383
  <=> ! [X16,X11,X0,X10,X45] :
        ( c_List_Olist_OCons(X0,X10,X11) = X45
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f365,axiom,
    ! [X10,X0,X11,X45,X16] :
      ( c_List_Olist_OCons(X0,X10,X11) = X45
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_3) ).

fof(f4920,plain,
    spl0_382,
    inference(avatar_split_clause,[],[f364,f4918]) ).

fof(f4918,plain,
    ( spl0_382
  <=> ! [X16,X11,X0,X10,X45] :
        ( c_List_Olist_OCons(X0,X10,X11) = X45
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f364,axiom,
    ! [X10,X0,X11,X45,X16] :
      ( c_List_Olist_OCons(X0,X10,X11) = X45
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_2) ).

fof(f4916,plain,
    spl0_381,
    inference(avatar_split_clause,[],[f359,f4914]) ).

fof(f4914,plain,
    ( spl0_381
  <=> ! [X16,X11,X0,X10,X45] :
        ( c_List_Olist_OCons(X0,X10,X11) = X45
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Olist_OCons(X0,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f359,axiom,
    ! [X10,X0,X11,X45,X16] :
      ( c_List_Olist_OCons(X0,X10,X11) = X45
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Olist_OCons(X0,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_2) ).

fof(f4912,plain,
    spl0_380,
    inference(avatar_split_clause,[],[f358,f4910]) ).

fof(f4910,plain,
    ( spl0_380
  <=> ! [X16,X11,X0,X10,X45] :
        ( c_List_Olist_OCons(X0,X10,X11) = X45
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f358,axiom,
    ! [X10,X0,X11,X45,X16] :
      ( c_List_Olist_OCons(X0,X10,X11) = X45
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_3) ).

fof(f4908,plain,
    spl0_379,
    inference(avatar_split_clause,[],[f314,f4906]) ).

fof(f4906,plain,
    ( spl0_379
  <=> ! [X35,X11,X0,X12,X36] :
        ( ~ hBOOL(hAPP(X12,X35))
        | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11),c_List_Oset(X36,X11),X11)
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f314,axiom,
    ! [X0,X36,X11,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11),c_List_Oset(X36,X11),X11)
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_4) ).

fof(f4896,plain,
    spl0_378,
    inference(avatar_split_clause,[],[f295,f4894]) ).

fof(f4894,plain,
    ( spl0_378
  <=> ! [X10,X11,X0,X16] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Osplice(c_List_Olist_OCons(X0,X10,X11),X16,X11) = c_List_Olist_OCons(X0,c_List_Olist_OCons(c_List_Ohd(X16,X11),c_List_Osplice(X10,c_List_Otl(X16,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f295,axiom,
    ! [X10,X0,X11,X16] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Osplice(c_List_Olist_OCons(X0,X10,X11),X16,X11) = c_List_Olist_OCons(X0,c_List_Olist_OCons(c_List_Ohd(X16,X11),c_List_Osplice(X10,c_List_Otl(X16,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_splice_Osimps_I2_J_1) ).

fof(f4892,plain,
    spl0_377,
    inference(avatar_split_clause,[],[f269,f4890]) ).

fof(f4890,plain,
    ( spl0_377
  <=> ! [X35,X36,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X35))
        | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11),c_List_Oset(X0,X11),X11)
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f269,axiom,
    ! [X0,X11,X36,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11),c_List_Oset(X0,X11),X11)
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_4) ).

fof(f4888,plain,
    spl0_376,
    inference(avatar_split_clause,[],[f208,f4886]) ).

fof(f4886,plain,
    ( spl0_376
  <=> ! [X10,X11,X14,X9,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X9,X10,X11,X14) = c_List_Olist_OCons(X9,X10,X11)
        | ~ c_lessequals(hAPP(X15,X9),hAPP(X15,c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1(X9,X15,X10,X11,X14)),X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f208,axiom,
    ! [X10,X11,X9,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_List_Olinorder__class_Oinsort__key(X15,X9,X10,X11,X14) = c_List_Olist_OCons(X9,X10,X11)
      | ~ c_lessequals(hAPP(X15,X9),hAPP(X15,c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1(X9,X15,X10,X11,X14)),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insort__is__Cons_1) ).

fof(f4805,plain,
    spl0_375,
    inference(avatar_split_clause,[],[f231,f4803]) ).

fof(f4803,plain,
    ( spl0_375
  <=> ! [X4,X11,X0,X21] :
        ( c_in(X0,X21,X11)
        | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f231,axiom,
    ! [X21,X0,X11,X4] :
      ( c_in(X0,X21,X11)
      | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).

fof(f4801,plain,
    spl0_374,
    inference(avatar_split_clause,[],[f219,f4799]) ).

fof(f4799,plain,
    ( spl0_374
  <=> ! [X10,X11,X0,X12,X16] :
        ( hBOOL(hAPP(X12,X0))
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_OdropWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_OdropWhile(X12,X10,X11),X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f219,axiom,
    ! [X10,X0,X11,X16,X12] :
      ( hBOOL(hAPP(X12,X0))
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_OdropWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_OdropWhile(X12,X10,X11),X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__append1_0) ).

fof(f4797,plain,
    spl0_373,
    inference(avatar_split_clause,[],[f34,f4795]) ).

fof(f4795,plain,
    ( spl0_373
  <=> ! [X11,X13,X0,X12] :
        ( hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
        | hBOOL(hAPP(X13,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
        | c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f34,axiom,
    ! [X0,X11,X12,X13] :
      ( hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
      | hBOOL(hAPP(X13,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
      | c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_1) ).

fof(f4783,plain,
    spl0_372,
    inference(avatar_split_clause,[],[f33,f4781]) ).

fof(f4781,plain,
    ( spl0_372
  <=> ! [X11,X13,X0,X12] :
        ( ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
        | ~ hBOOL(hAPP(X13,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
        | c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f33,axiom,
    ! [X0,X11,X12,X13] :
      ( ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
      | ~ hBOOL(hAPP(X13,c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11)))
      | c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_2) ).

fof(f4547,plain,
    spl0_371,
    inference(avatar_split_clause,[],[f381,f4545]) ).

fof(f4545,plain,
    ( spl0_371
  <=> ! [X10,X11,X0,X16,X45] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f381,axiom,
    ! [X10,X0,X11,X16,X45] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_0) ).

fof(f4543,plain,
    spl0_370,
    inference(avatar_split_clause,[],[f380,f4541]) ).

fof(f4541,plain,
    ( spl0_370
  <=> ! [X10,X11,X0,X16,X45] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f380,axiom,
    ! [X10,X0,X11,X16,X45] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_1) ).

fof(f4539,plain,
    spl0_369,
    inference(avatar_split_clause,[],[f377,f4537]) ).

fof(f4537,plain,
    ( spl0_369
  <=> ! [X10,X11,X0,X16,X45] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Olist_OCons(X0,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f377,axiom,
    ! [X10,X0,X11,X16,X45] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Olist_OCons(X0,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X10,X16,X45,X11),X11) = X16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_0) ).

fof(f4535,plain,
    spl0_368,
    inference(avatar_split_clause,[],[f376,f4533]) ).

fof(f4533,plain,
    ( spl0_368
  <=> ! [X10,X11,X0,X16,X45] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
        | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f376,axiom,
    ! [X10,X0,X11,X16,X45] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Oappend(X16,X45,X11)
      | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X10,X16,X45,X11),X45,X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_1) ).

fof(f4531,plain,
    spl0_367,
    inference(avatar_split_clause,[],[f363,f4529]) ).

fof(f4529,plain,
    ( spl0_367
  <=> ! [X35,X11,X0,X12,X36] :
        ( ~ hBOOL(hAPP(X12,X35))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11)))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f363,axiom,
    ! [X0,X36,X11,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,X36,X11)))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_6) ).

fof(f4527,plain,
    spl0_366,
    inference(avatar_split_clause,[],[f361,f4525]) ).

fof(f4525,plain,
    ( spl0_366
  <=> ! [X35,X36,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X35))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11)))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f361,axiom,
    ! [X0,X11,X36,X35,X12] :
      ( ~ hBOOL(hAPP(X12,X35))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,X0,X11)))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X12,c_List_Oappend(X0,c_List_Olist_OCons(X35,X36,X11),X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_6) ).

fof(f4523,plain,
    spl0_365,
    inference(avatar_split_clause,[],[f270,f4521]) ).

fof(f4521,plain,
    ( spl0_365
  <=> ! [X35,X10,X11,X0,X16] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_lessequals(X0,X35,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ c_in(X35,c_List_Oset(X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f270,axiom,
    ! [X10,X0,X11,X16,X35] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_lessequals(X0,X35,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | ~ c_in(X35,c_List_Oset(X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_2) ).

fof(f4519,plain,
    ( spl0_364
    | ~ spl0_69
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f4150,f3798,f764,f4517]) ).

fof(f4150,plain,
    ( ! [X2,X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2)
    | ~ spl0_69
    | ~ spl0_329 ),
    inference(resolution,[],[f3799,f765]) ).

fof(f4515,plain,
    spl0_363,
    inference(avatar_split_clause,[],[f223,f4513]) ).

fof(f4513,plain,
    ( spl0_363
  <=> ! [X19,X11,X0,X10,X21] :
        ( ~ c_in(X0,X21,X11)
        | ~ c_lessequals(c_List_Oset(X10,X11),X21,tc_fun(X11,tc_bool))
        | c_lessequals(c_List_Oset(c_List_Olist__update(X10,X19,X0,X11),X11),X21,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f223,axiom,
    ! [X21,X10,X0,X11,X19] :
      ( ~ c_in(X0,X21,X11)
      | ~ c_lessequals(c_List_Oset(X10,X11),X21,tc_fun(X11,tc_bool))
      | c_lessequals(c_List_Oset(c_List_Olist__update(X10,X19,X0,X11),X11),X21,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__update__subsetI_0) ).

fof(f4511,plain,
    spl0_362,
    inference(avatar_split_clause,[],[f201,f4509]) ).

fof(f4509,plain,
    ( spl0_362
  <=> ! [X10,X11,X12,X16] :
        ( c_in(c_List_Osko__List__XtakeWhile__append2__1__1(X12,X10,X11),c_List_Oset(X10,X11),X11)
        | c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_OtakeWhile(X12,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f201,axiom,
    ! [X10,X11,X16,X12] :
      ( c_in(c_List_Osko__List__XtakeWhile__append2__1__1(X12,X10,X11),c_List_Oset(X10,X11),X11)
      | c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_OtakeWhile(X12,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__append2_0) ).

fof(f4507,plain,
    spl0_361,
    inference(avatar_split_clause,[],[f200,f4505]) ).

fof(f4505,plain,
    ( spl0_361
  <=> ! [X10,X11,X14,X9,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_List_Olinorder__class_Oinsort__key(X15,X9,X10,X11,X14) = c_List_Olist_OCons(X9,X10,X11)
        | c_in(c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1(X9,X15,X10,X11,X14),c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f200,axiom,
    ! [X10,X11,X9,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_List_Olinorder__class_Oinsort__key(X15,X9,X10,X11,X14) = c_List_Olist_OCons(X9,X10,X11)
      | c_in(c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1(X9,X15,X10,X11,X14),c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insort__is__Cons_0) ).

fof(f4503,plain,
    spl0_360,
    inference(avatar_split_clause,[],[f155,f4501]) ).

fof(f4501,plain,
    ( spl0_360
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(X16,X11)
        | ~ c_List_Odistinct(X16,X11)
        | ~ c_List_Odistinct(X10,X11)
        | X10 = X16
        | c_List_Oset(X10,X11) != c_List_Oset(X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f155,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(X16,X11)
      | ~ c_List_Odistinct(X16,X11)
      | ~ c_List_Odistinct(X10,X11)
      | X10 = X16
      | c_List_Oset(X10,X11) != c_List_Oset(X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__distinct__set__unique_0) ).

fof(f4499,plain,
    spl0_359,
    inference(avatar_split_clause,[],[f141,f4497]) ).

fof(f4497,plain,
    ( spl0_359
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(X16,X11)
        | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
        | ~ c_lessequals(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1(X10,X16,X11),c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f141,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(X16,X11)
      | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
      | ~ c_lessequals(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1(X10,X16,X11),c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_5) ).

fof(f4425,plain,
    spl0_358,
    inference(avatar_split_clause,[],[f233,f4423]) ).

fof(f4423,plain,
    ( spl0_358
  <=> ! [X4,X11,X0,X21] :
        ( c_in(X0,X21,X11)
        | c_in(X0,X4,X11)
        | c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f233,axiom,
    ! [X21,X0,X11,X4] :
      ( c_in(X0,X21,X11)
      | c_in(X0,X4,X11)
      | c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).

fof(f4421,plain,
    ( spl0_357
    | ~ spl0_69
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f4040,f3578,f764,f4419]) ).

fof(f4419,plain,
    ( spl0_357
  <=> ! [X2,X0,X1] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f3578,plain,
    ( spl0_328
  <=> ! [X0,X1] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f4040,plain,
    ( ! [X2,X0,X1] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2)
    | ~ spl0_69
    | ~ spl0_328 ),
    inference(resolution,[],[f3579,f765]) ).

fof(f3579,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_328 ),
    inference(avatar_component_clause,[],[f3578]) ).

fof(f4417,plain,
    spl0_356,
    inference(avatar_split_clause,[],[f232,f4415]) ).

fof(f4415,plain,
    ( spl0_356
  <=> ! [X4,X11,X0,X21] :
        ( c_in(X0,X4,X11)
        | c_in(X0,X21,X11)
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f232,axiom,
    ! [X21,X0,X11,X4] :
      ( c_in(X0,X4,X11)
      | c_in(X0,X21,X11)
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).

fof(f4413,plain,
    spl0_355,
    inference(avatar_split_clause,[],[f203,f4411]) ).

fof(f4411,plain,
    ( spl0_355
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(X16,X11)
        | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
        | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1(X10,X16,X11),c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f203,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(X16,X11)
      | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
      | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1(X10,X16,X11),c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_3) ).

fof(f4409,plain,
    spl0_354,
    inference(avatar_split_clause,[],[f202,f4407]) ).

fof(f4407,plain,
    ( spl0_354
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(X16,X11)
        | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
        | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2(X10,X16,X11),c_List_Oset(X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f202,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(X16,X11)
      | c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11)
      | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2(X10,X16,X11),c_List_Oset(X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_4) ).

fof(f4347,plain,
    spl0_353,
    inference(avatar_split_clause,[],[f463,f4345]) ).

fof(f4345,plain,
    ( spl0_353
  <=> ! [X12,X11,X10] :
        ( ~ hBOOL(hAPP(X12,c_List_Orotate1(c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X12,X11),c_List_Osko__List__Xrev__induct__1__2(X12,X11),X11),X11)))
        | hBOOL(hAPP(X12,X10))
        | ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f463,plain,
    ! [X10,X11,X12] :
      ( ~ hBOOL(hAPP(X12,c_List_Orotate1(c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X12,X11),c_List_Osko__List__Xrev__induct__1__2(X12,X11),X11),X11)))
      | hBOOL(hAPP(X12,X10))
      | ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X11))) ),
    inference(forward_demodulation,[],[f339,f385]) ).

fof(f385,axiom,
    ! [X10,X0,X14] : c_List_Orotate1(c_List_Olist_OCons(X0,X10,X14),X14) = c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X14),X14),X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__simps_1) ).

fof(f339,axiom,
    ! [X10,X11,X12] :
      ( hBOOL(hAPP(X12,X10))
      | ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X11)))
      | ~ hBOOL(hAPP(X12,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X12,X11),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X12,X11),c_List_Olist_ONil(X11),X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__induct_1) ).

fof(f4343,plain,
    spl0_352,
    inference(avatar_split_clause,[],[f287,f4341]) ).

fof(f4341,plain,
    ( spl0_352
  <=> ! [X10,X11,X0,X12,X16] :
        ( hBOOL(hAPP(X12,X0))
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_OtakeWhile(X12,X10,X11) = c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f287,axiom,
    ! [X10,X0,X11,X16,X12] :
      ( hBOOL(hAPP(X12,X0))
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_OtakeWhile(X12,X10,X11) = c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__append1_0) ).

fof(f4339,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f158,f4337]) ).

fof(f4337,plain,
    ( spl0_351
  <=> ! [X10,X11,X12,X16] :
        ( ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__append2__1__1(X12,X10,X11)))
        | c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_OtakeWhile(X12,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f158,axiom,
    ! [X10,X11,X16,X12] :
      ( ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__append2__1__1(X12,X10,X11)))
      | c_List_OtakeWhile(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_OtakeWhile(X12,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__append2_1) ).

fof(f4335,plain,
    ( spl0_350
    | ~ spl0_69
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f3903,f3482,f764,f4333]) ).

fof(f4333,plain,
    ( spl0_350
  <=> ! [X2,X0,X1] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f3482,plain,
    ( spl0_323
  <=> ! [X0,X1] : hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f3903,plain,
    ( ! [X2,X0,X1] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2)
    | ~ spl0_69
    | ~ spl0_323 ),
    inference(resolution,[],[f3483,f765]) ).

fof(f3483,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_323 ),
    inference(avatar_component_clause,[],[f3482]) ).

fof(f4331,plain,
    spl0_349,
    inference(avatar_split_clause,[],[f120,f4329]) ).

fof(f4329,plain,
    ( spl0_349
  <=> ! [X31,X10,X11,X0,X30,X19] :
        ( X19 = X30
        | c_List_Olist__update(c_List_Olist__update(X10,X19,X0,X11),X30,X31,X11) = c_List_Olist__update(c_List_Olist__update(X10,X30,X31,X11),X19,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f120,axiom,
    ! [X31,X10,X0,X11,X19,X30] :
      ( X19 = X30
      | c_List_Olist__update(c_List_Olist__update(X10,X19,X0,X11),X30,X31,X11) = c_List_Olist__update(c_List_Olist__update(X10,X30,X31,X11),X19,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__swap_0) ).

fof(f4074,plain,
    spl0_348,
    inference(avatar_split_clause,[],[f357,f4072]) ).

fof(f357,axiom,
    ! [X10,X29,X0,X11] : c_List_Oappend(c_List_Oreplicate(X29,X0,X11),c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Oappend(c_List_Oreplicate(X29,X0,X11),X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__app__Cons__same_0) ).

fof(f4070,plain,
    spl0_347,
    inference(avatar_split_clause,[],[f315,f4068]) ).

fof(f4068,plain,
    ( spl0_347
  <=> ! [X11,X0,X45,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_lessequals(X0,X1,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X45,X11),X11)
        | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X45,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f315,axiom,
    ! [X0,X11,X1,X45] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_lessequals(X0,X1,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X45,X11),X11)
      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X45,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_2) ).

fof(f4066,plain,
    spl0_346,
    inference(avatar_split_clause,[],[f250,f4064]) ).

fof(f250,axiom,
    ! [X10,X0,X11,X1,X16] : c_List_Osplice(c_List_Olist_OCons(X0,X10,X11),c_List_Olist_OCons(X1,X16,X11),X11) = c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Osplice(X10,X16,X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_splice__Cons__Cons_0) ).

fof(f4062,plain,
    spl0_345,
    inference(avatar_split_clause,[],[f225,f4060]) ).

fof(f4060,plain,
    ( spl0_345
  <=> ! [X17,X11,X9,X43] :
        ( ~ c_in(X9,c_List_Oset(X17,X11),X11)
        | c_List_Olist__inter(c_List_Olist_OCons(X9,X43,X11),X17,X11) = c_List_Olist_OCons(X9,c_List_Olist__inter(X43,X17,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f225,axiom,
    ! [X11,X9,X17,X43] :
      ( ~ c_in(X9,c_List_Oset(X17,X11),X11)
      | c_List_Olist__inter(c_List_Olist_OCons(X9,X43,X11),X17,X11) = c_List_Olist_OCons(X9,c_List_Olist__inter(X43,X17,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_0) ).

fof(f4058,plain,
    spl0_344,
    inference(avatar_split_clause,[],[f220,f4056]) ).

fof(f4056,plain,
    ( spl0_344
  <=> ! [X10,X11,X0,X16] :
        ( c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Oremove1(X0,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_Oremove1(X0,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f220,axiom,
    ! [X10,X0,X11,X16] :
      ( c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Oremove1(X0,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_Oremove1(X0,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1__append_1) ).

fof(f4054,plain,
    spl0_343,
    inference(avatar_split_clause,[],[f218,f4052]) ).

fof(f4052,plain,
    ( spl0_343
  <=> ! [X10,X11,X0,X16] :
        ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Oremove1(X0,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Oremove1(X0,X10,X11),X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f218,axiom,
    ! [X10,X0,X11,X16] :
      ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Oremove1(X0,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Oremove1(X0,X10,X11),X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1__append_0) ).

fof(f4050,plain,
    spl0_342,
    inference(avatar_split_clause,[],[f212,f4048]) ).

fof(f4048,plain,
    ( spl0_342
  <=> ! [X6,X2] :
        ( ~ c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X6,X2),c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg),tc_Message_Omsg)
        | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f212,axiom,
    ! [X2,X6] :
      ( ~ c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X6,X2),c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg),tc_Message_Omsg)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_1) ).

fof(f4035,plain,
    spl0_341,
    inference(avatar_split_clause,[],[f211,f4033]) ).

fof(f4033,plain,
    ( spl0_341
  <=> ! [X6,X2] :
        ( c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X6,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f211,axiom,
    ! [X2,X6] :
      ( c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X6,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_0) ).

fof(f4031,plain,
    spl0_340,
    inference(avatar_split_clause,[],[f210,f4029]) ).

fof(f4029,plain,
    ( spl0_340
  <=> ! [X10,X11,X12,X16,X1] :
        ( c_List_OdropWhile(X12,X10,X11) != c_List_Olist_OCons(X1,X16,X11)
        | c_List_Oappend(c_List_OtakeWhile(X12,X10,X11),c_List_Olist_OCons(X1,X16,X11),X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f210,axiom,
    ! [X10,X11,X1,X16,X12] :
      ( c_List_OdropWhile(X12,X10,X11) != c_List_Olist_OCons(X1,X16,X11)
      | c_List_Oappend(c_List_OtakeWhile(X12,X10,X11),c_List_Olist_OCons(X1,X16,X11),X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_0) ).

fof(f4027,plain,
    spl0_339,
    inference(avatar_split_clause,[],[f207,f4025]) ).

fof(f4025,plain,
    ( spl0_339
  <=> ! [X6,X2,X7] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f207,axiom,
    ! [X2,X6,X7] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).

fof(f4023,plain,
    spl0_338,
    inference(avatar_split_clause,[],[f188,f4021]) ).

fof(f4021,plain,
    ( spl0_338
  <=> ! [X18,X11,X0,X29] : c_List_Oappend(c_List_Oreplicate(X29,X0,X11),c_List_Oreplicate(X18,X0,X11),X11) = c_List_Oappend(c_List_Oreplicate(X18,X0,X11),c_List_Oreplicate(X29,X0,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f188,axiom,
    ! [X29,X0,X11,X18] : c_List_Oappend(c_List_Oreplicate(X29,X0,X11),c_List_Oreplicate(X18,X0,X11),X11) = c_List_Oappend(c_List_Oreplicate(X18,X0,X11),c_List_Oreplicate(X29,X0,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__replicate__commute_0) ).

fof(f4019,plain,
    spl0_337,
    inference(avatar_split_clause,[],[f63,f4017]) ).

fof(f4017,plain,
    ( spl0_337
  <=> ! [X2,X21,X3] :
        ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
        | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X21),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f63,axiom,
    ! [X2,X21,X3] :
      ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X21),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).

fof(f3854,plain,
    spl0_336,
    inference(avatar_split_clause,[],[f398,f3852]) ).

fof(f3852,plain,
    ( spl0_336
  <=> ! [X10,X11,X0,X16,X1] :
        ( X10 = X16
        | c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) != c_List_Oappend(X16,c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f398,axiom,
    ! [X10,X0,X11,X1,X16] :
      ( X10 = X16
      | c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) != c_List_Oappend(X16,c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).

fof(f3850,plain,
    spl0_335,
    inference(avatar_split_clause,[],[f397,f3848]) ).

fof(f3848,plain,
    ( spl0_335
  <=> ! [X10,X11,X0,X16,X1] :
        ( X0 = X1
        | c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) != c_List_Oappend(X16,c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f397,axiom,
    ! [X10,X0,X11,X1,X16] :
      ( X0 = X1
      | c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) != c_List_Oappend(X16,c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).

fof(f3846,plain,
    spl0_334,
    inference(avatar_split_clause,[],[f383,f3844]) ).

fof(f3844,plain,
    ( spl0_334
  <=> ! [X10,X11,X16,X1] :
        ( c_List_Orev(X10,X11) != c_List_Olist_OCons(X1,X16,X11)
        | c_List_Oappend(c_List_Orev(X16,X11),c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f383,axiom,
    ! [X10,X11,X1,X16] :
      ( c_List_Orev(X10,X11) != c_List_Olist_OCons(X1,X16,X11)
      | c_List_Oappend(c_List_Orev(X16,X11),c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_0) ).

fof(f3842,plain,
    spl0_333,
    inference(avatar_split_clause,[],[f204,f3840]) ).

fof(f3840,plain,
    ( spl0_333
  <=> ! [X0,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
        | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(X0,X10,X11),c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f204,axiom,
    ! [X10,X0,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
      | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(X0,X10,X11),c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_2) ).

fof(f3838,plain,
    spl0_332,
    inference(avatar_split_clause,[],[f182,f3836]) ).

fof(f3836,plain,
    ( spl0_332
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Orotate1(X10,X11) = c_List_Oappend(c_List_Otl(X10,X11),c_List_Olist_OCons(c_List_Ohd(X10,X11),c_List_Olist_ONil(X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f182,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Orotate1(X10,X11) = c_List_Oappend(c_List_Otl(X10,X11),c_List_Olist_OCons(c_List_Ohd(X10,X11),c_List_Olist_ONil(X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate1__hd__tl_0) ).

fof(f3834,plain,
    spl0_331,
    inference(avatar_split_clause,[],[f166,f3832]) ).

fof(f3832,plain,
    ( spl0_331
  <=> ! [X4,X11,X0,X21] :
        ( X4 = X21
        | c_in(X0,X21,X11)
        | c_in(X0,X4,X11)
        | c_Set_Oinsert(X0,X4,X11) != c_Set_Oinsert(X0,X21,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f166,axiom,
    ! [X21,X0,X11,X4] :
      ( X4 = X21
      | c_in(X0,X21,X11)
      | c_in(X0,X4,X11)
      | c_Set_Oinsert(X0,X4,X11) != c_Set_Oinsert(X0,X21,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).

fof(f3830,plain,
    spl0_330,
    inference(avatar_split_clause,[],[f95,f3828]) ).

fof(f3828,plain,
    ( spl0_330
  <=> ! [X11,X14,X15,X26] :
        ( ~ class_HOL_Oord(X14)
        | ~ c_lessequals(X15,X26,tc_fun(X11,X14))
        | c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
        | c_lessequals(X26,X15,tc_fun(X11,X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f95,axiom,
    ! [X11,X26,X14,X15] :
      ( ~ class_HOL_Oord(X14)
      | ~ c_lessequals(X15,X26,tc_fun(X11,X14))
      | c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
      | c_lessequals(X26,X15,tc_fun(X11,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_2) ).

fof(f3800,plain,
    ( spl0_329
    | ~ spl0_68
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f2808,f1683,f760,f3798]) ).

fof(f1683,plain,
    ( spl0_203
  <=> ! [X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f2808,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_68
    | ~ spl0_203 ),
    inference(resolution,[],[f1684,f761]) ).

fof(f1684,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f3580,plain,
    ( spl0_328
    | ~ spl0_68
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f2192,f1639,f760,f3578]) ).

fof(f1639,plain,
    ( spl0_192
  <=> ! [X0,X1] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f2192,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_68
    | ~ spl0_192 ),
    inference(resolution,[],[f1640,f761]) ).

fof(f1640,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f3500,plain,
    spl0_327,
    inference(avatar_split_clause,[],[f386,f3498]) ).

fof(f3498,plain,
    ( spl0_327
  <=> ! [X0,X11,X19] : c_List_Oappend(c_List_Oreplicate(X19,X0,X11),c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) = c_List_Olist_OCons(X0,c_List_Oreplicate(X19,X0,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f386,axiom,
    ! [X0,X11,X19] : c_List_Oappend(c_List_Oreplicate(X19,X0,X11),c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) = c_List_Olist_OCons(X0,c_List_Oreplicate(X19,X0,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__append__same_0) ).

fof(f3496,plain,
    spl0_326,
    inference(avatar_split_clause,[],[f362,f3494]) ).

fof(f362,axiom,
    ! [X10,X0,X11,X14,X15] : c_List_Oconcat__map(X15,c_List_Olist_OCons(X0,X10,X14),X14,X11) = c_List_Oappend(hAPP(X15,X0),c_List_Oconcat__map(X15,X10,X14,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_concat__map_Osimps_I2_J_0) ).

fof(f3492,plain,
    spl0_325,
    inference(avatar_split_clause,[],[f360,f3490]) ).

fof(f3490,plain,
    ( spl0_325
  <=> ! [X10,X11,X0,X12,X32] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_OtakeWhile(X12,X10,X11) = c_List_OtakeWhile(X12,c_List_Oappend(X10,c_List_Olist_OCons(X0,X32,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f360,axiom,
    ! [X10,X0,X11,X12,X32] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_OtakeWhile(X12,X10,X11) = c_List_OtakeWhile(X12,c_List_Oappend(X10,c_List_Olist_OCons(X0,X32,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__tail_0) ).

fof(f3488,plain,
    spl0_324,
    inference(avatar_split_clause,[],[f312,f3486]) ).

fof(f3486,plain,
    ( spl0_324
  <=> ! [X4,X11,X0,X21] :
        ( ~ c_in(X0,X4,X11)
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f312,axiom,
    ! [X21,X0,X11,X4] :
      ( ~ c_in(X0,X4,X11)
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).

fof(f3484,plain,
    ( spl0_323
    | ~ spl0_68
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1729,f1572,f760,f3482]) ).

fof(f1572,plain,
    ( spl0_188
  <=> ! [X0,X1] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1729,plain,
    ( ! [X0,X1] : hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0))
    | ~ spl0_68
    | ~ spl0_188 ),
    inference(resolution,[],[f1573,f761]) ).

fof(f1573,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f3480,plain,
    spl0_322,
    inference(avatar_split_clause,[],[f311,f3478]) ).

fof(f3478,plain,
    ( spl0_322
  <=> ! [X6,X2,X5] :
        ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
        | ~ c_lessequals(X6,X5,tc_fun(tc_Message_Omsg,tc_bool))
        | c_Message_Oanalz(X5) = c_Message_Oanalz(c_Set_Oinsert(X2,X5,tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f311,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_lessequals(X6,X5,tc_fun(tc_Message_Omsg,tc_bool))
      | c_Message_Oanalz(X5) = c_Message_Oanalz(c_Set_Oinsert(X2,X5,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).

fof(f3476,plain,
    spl0_321,
    inference(avatar_split_clause,[],[f265,f3474]) ).

fof(f3474,plain,
    ( spl0_321
  <=> ! [X4,X11,X0,X21] :
        ( c_in(X0,X21,X11)
        | c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f265,axiom,
    ! [X21,X0,X11,X4] :
      ( c_in(X0,X21,X11)
      | c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).

fof(f3472,plain,
    spl0_320,
    inference(avatar_split_clause,[],[f260,f3470]) ).

fof(f260,axiom,
    ! [X10,X0,X11,X16] :
      ( ~ c_in(X0,c_List_Oset(c_List_Obutlast(X16,X11),X11),X11)
      | c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__butlast__appendI_1) ).

fof(f3468,plain,
    spl0_319,
    inference(avatar_split_clause,[],[f259,f3466]) ).

fof(f3466,plain,
    ( spl0_319
  <=> ! [X10,X11,X0,X16] :
        ( ~ c_in(X0,c_List_Oset(c_List_Obutlast(X10,X11),X11),X11)
        | c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f259,axiom,
    ! [X10,X0,X11,X16] :
      ( ~ c_in(X0,c_List_Oset(c_List_Obutlast(X10,X11),X11),X11)
      | c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__butlast__appendI_0) ).

fof(f3464,plain,
    spl0_318,
    inference(avatar_split_clause,[],[f247,f3462]) ).

fof(f3462,plain,
    ( spl0_318
  <=> ! [X10,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X0))
        | c_List_OtakeWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_OtakeWhile(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f247,axiom,
    ! [X10,X0,X11,X12] :
      ( ~ hBOOL(hAPP(X12,X0))
      | c_List_OtakeWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_OtakeWhile(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_0) ).

fof(f3460,plain,
    spl0_317,
    inference(avatar_split_clause,[],[f234,f3458]) ).

fof(f3458,plain,
    ( spl0_317
  <=> ! [X2,X21,X3] :
        ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
        | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f234,axiom,
    ! [X2,X21,X3] :
      ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).

fof(f3456,plain,
    spl0_316,
    inference(avatar_split_clause,[],[f229,f3454]) ).

fof(f3454,plain,
    ( spl0_316
  <=> ! [X0,X11,X10] :
        ( c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Oremdups(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Oremdups(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f229,axiom,
    ! [X10,X0,X11] :
      ( c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Oremdups(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Oremdups(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_1) ).

fof(f3452,plain,
    spl0_315,
    inference(avatar_split_clause,[],[f215,f3450]) ).

fof(f3450,plain,
    ( spl0_315
  <=> ! [X11,X13,X0,X12] :
        ( c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11)
        | c_in(c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11),c_List_Oset(X0,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f215,axiom,
    ! [X0,X11,X12,X13] :
      ( c_List_OtakeWhile(X12,X0,X11) = c_List_OtakeWhile(X13,X0,X11)
      | c_in(c_List_Osko__List__XtakeWhile__cong__1__1(X12,X13,X0,X11),c_List_Oset(X0,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_0) ).

fof(f3448,plain,
    spl0_314,
    inference(avatar_split_clause,[],[f206,f3446]) ).

fof(f3446,plain,
    ( spl0_314
  <=> ! [X11,X0,X14,X10,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | ~ c_List_Odistinct(X10,X11)
        | c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f206,axiom,
    ! [X10,X0,X11,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | ~ c_List_Odistinct(X10,X11)
      | c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__insort_2) ).

fof(f3444,plain,
    spl0_313,
    inference(avatar_split_clause,[],[f195,f3442]) ).

fof(f3442,plain,
    ( spl0_313
  <=> ! [X8,X21,X3,X2] :
        ( ~ c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f195,axiom,
    ! [X2,X21,X3,X8] :
      ( ~ c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).

fof(f3438,plain,
    spl0_312,
    inference(avatar_split_clause,[],[f145,f3436]) ).

fof(f145,axiom,
    ! [X21,X0,X11,X4] :
      ( ~ c_in(X0,X4,X11)
      | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).

fof(f3434,plain,
    spl0_311,
    inference(avatar_split_clause,[],[f144,f3432]) ).

fof(f3432,plain,
    ( spl0_311
  <=> ! [X4,X11,X0,X21] :
        ( ~ c_in(X0,X4,X11)
        | c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f144,axiom,
    ! [X21,X0,X11,X4] :
      ( ~ c_in(X0,X4,X11)
      | c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X21,c_Set_Oinsert(X0,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).

fof(f3430,plain,
    spl0_310,
    inference(avatar_split_clause,[],[f43,f3428]) ).

fof(f3428,plain,
    ( spl0_310
  <=> ! [X10,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X0))
        | c_List_Ofilter(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Ofilter(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f43,axiom,
    ! [X10,X0,X11,X12] :
      ( ~ hBOOL(hAPP(X12,X0))
      | c_List_Ofilter(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Ofilter(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_0) ).

fof(f3296,plain,
    ( spl0_309
    | ~ spl0_69
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f3206,f3102,f764,f3294]) ).

fof(f3102,plain,
    ( spl0_301
  <=> hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f3206,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0)
    | ~ spl0_69
    | ~ spl0_301 ),
    inference(resolution,[],[f3104,f765]) ).

fof(f3104,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f3102]) ).

fof(f3133,plain,
    spl0_308,
    inference(avatar_split_clause,[],[f390,f3131]) ).

fof(f3131,plain,
    ( spl0_308
  <=> ! [X2,X21,X3] :
        ( c_Message_Oagent_OSpy = X21
        | c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg) = c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f390,axiom,
    ! [X2,X21,X3] :
      ( c_Message_Oagent_OSpy = X21
      | c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg) = c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).

fof(f3129,plain,
    spl0_307,
    inference(avatar_split_clause,[],[f341,f3127]) ).

fof(f341,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Oappend(c_List_Obutlast(X10,X11),c_List_Olist_OCons(c_List_Olast(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__butlast__last__id_0) ).

fof(f3125,plain,
    spl0_306,
    inference(avatar_split_clause,[],[f340,f3123]) ).

fof(f340,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Oappend(c_List_Osko__List__Xrev__cases__1__1(X10,X11),c_List_Olist_OCons(c_List_Osko__List__Xrev__cases__1__2(X10,X11),c_List_Olist_ONil(X11),X11),X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__cases_0) ).

fof(f3121,plain,
    spl0_305,
    inference(avatar_split_clause,[],[f326,f3119]) ).

fof(f326,axiom,
    ! [X21,X28,X11,X4] :
      ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X4,X28,tc_fun(X11,tc_bool))
      | c_lessequals(X21,X28,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).

fof(f3117,plain,
    spl0_304,
    inference(avatar_split_clause,[],[f279,f3115]) ).

fof(f3115,plain,
    ( spl0_304
  <=> ! [X6,X2,X34] :
        ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
        | c_in(X34,c_Message_Oanalz(X6),tc_Message_Omsg)
        | ~ c_in(X34,c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f279,axiom,
    ! [X2,X6,X34] :
      ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X34,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X34,c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).

fof(f3113,plain,
    spl0_303,
    inference(avatar_split_clause,[],[f256,f3111]) ).

fof(f256,axiom,
    ! [X10,X0,X11,X35] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_lessequals(X0,X35,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
      | ~ c_in(X35,c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_1) ).

fof(f3109,plain,
    spl0_302,
    inference(avatar_split_clause,[],[f246,f3107]) ).

fof(f3107,plain,
    ( spl0_302
  <=> ! [X44,X11,X9,X28] :
        ( ~ c_lessequals(X28,X44,tc_fun(X11,tc_bool))
        | c_lessequals(c_Set_Oinsert(X9,X28,X11),c_Set_Oinsert(X9,X44,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f246,axiom,
    ! [X28,X11,X44,X9] :
      ( ~ c_lessequals(X28,X44,tc_fun(X11,tc_bool))
      | c_lessequals(c_Set_Oinsert(X9,X28,X11),c_Set_Oinsert(X9,X44,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).

fof(f3105,plain,
    ( spl0_301
    | ~ spl0_68
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f3060,f2901,f760,f3102]) ).

fof(f2901,plain,
    ( spl0_287
  <=> c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f3060,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_68
    | ~ spl0_287 ),
    inference(resolution,[],[f2903,f761]) ).

fof(f2903,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f2901]) ).

fof(f3100,plain,
    spl0_300,
    inference(avatar_split_clause,[],[f226,f3098]) ).

fof(f3098,plain,
    ( spl0_300
  <=> ! [X17,X11,X9,X43] :
        ( c_in(X9,c_List_Oset(X17,X11),X11)
        | c_List_Olist__inter(c_List_Olist_OCons(X9,X43,X11),X17,X11) = c_List_Olist__inter(X43,X17,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f226,axiom,
    ! [X11,X9,X17,X43] :
      ( c_in(X9,c_List_Oset(X17,X11),X11)
      | c_List_Olist__inter(c_List_Olist_OCons(X9,X43,X11),X17,X11) = c_List_Olist__inter(X43,X17,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_1) ).

fof(f3096,plain,
    spl0_299,
    inference(avatar_split_clause,[],[f216,f3094]) ).

fof(f3094,plain,
    ( spl0_299
  <=> ! [X0,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
        | ~ c_lessequals(X0,c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f216,axiom,
    ! [X10,X0,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11)
      | ~ c_lessequals(X0,c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_3) ).

fof(f3092,plain,
    spl0_298,
    inference(avatar_split_clause,[],[f199,f3090]) ).

fof(f3090,plain,
    ( spl0_298
  <=> ! [X2,X4,X42] :
        ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X42)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X42))),tc_Message_Omsg)
        | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X4,X2),X42,tc_Event_Oevent)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f199,axiom,
    ! [X2,X4,X42] :
      ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X42)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X42))),tc_Message_Omsg)
      | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X4,X2),X42,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).

fof(f3088,plain,
    spl0_297,
    inference(avatar_split_clause,[],[f152,f3086]) ).

fof(f3086,plain,
    ( spl0_297
  <=> ! [X6,X2,X34] :
        ( ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_in(X34,c_Message_Osynth(X6),tc_Message_Omsg)
        | ~ c_in(X34,c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f152,axiom,
    ! [X2,X6,X34] :
      ( ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(X34,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X34,c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__cut_0) ).

fof(f3084,plain,
    spl0_296,
    inference(avatar_split_clause,[],[f149,f3082]) ).

fof(f3082,plain,
    ( spl0_296
  <=> ! [X33,X11,X10,X9] :
        ( X9 = X33
        | ~ c_in(X9,c_List_Oset(X10,X11),X11)
        | c_in(X9,c_List_Oset(c_List_Oremove1(X33,X10,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f149,axiom,
    ! [X10,X11,X9,X33] :
      ( X9 = X33
      | ~ c_in(X9,c_List_Oset(X10,X11),X11)
      | c_in(X9,c_List_Oset(c_List_Oremove1(X33,X10,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__remove1_1) ).

fof(f3080,plain,
    spl0_295,
    inference(avatar_split_clause,[],[f117,f3078]) ).

fof(f3078,plain,
    ( spl0_295
  <=> ! [X28,X4,X11,X21] :
        ( ~ c_HOL_Oord__class_Oless(X4,X28,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f117,axiom,
    ! [X21,X28,X11,X4] :
      ( ~ c_HOL_Oord__class_Oless(X4,X28,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).

fof(f3076,plain,
    spl0_294,
    inference(avatar_split_clause,[],[f116,f3074]) ).

fof(f3074,plain,
    ( spl0_294
  <=> ! [X28,X4,X11,X21] :
        ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_lessequals(X4,X28,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f116,axiom,
    ! [X21,X28,X11,X4] :
      ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X4,X28,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).

fof(f3072,plain,
    spl0_293,
    inference(avatar_split_clause,[],[f92,f3070]) ).

fof(f3070,plain,
    ( spl0_293
  <=> ! [X2,X21,X3] :
        ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
        | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f92,axiom,
    ! [X2,X21,X3] :
      ( ~ c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).

fof(f3068,plain,
    spl0_292,
    inference(avatar_split_clause,[],[f85,f3066]) ).

fof(f3066,plain,
    ( spl0_292
  <=> ! [X28,X4,X11,X21] :
        ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | ~ c_HOL_Oord__class_Oless(X4,X28,tc_fun(X11,tc_bool))
        | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f85,axiom,
    ! [X21,X28,X11,X4] :
      ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X4,X28,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,X28,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__trans_0) ).

fof(f3064,plain,
    spl0_291,
    inference(avatar_split_clause,[],[f62,f3062]) ).

fof(f3062,plain,
    ( spl0_291
  <=> ! [X10,X11,X12,X16] : c_List_Ofilter(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Ofilter(X12,X10,X11),c_List_Ofilter(X12,X16,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f62,axiom,
    ! [X10,X11,X16,X12] : c_List_Ofilter(X12,c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Ofilter(X12,X10,X11),c_List_Ofilter(X12,X16,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__append_0) ).

fof(f3058,plain,
    spl0_290,
    inference(avatar_split_clause,[],[f40,f3056]) ).

fof(f40,axiom,
    ! [X10,X0,X11,X1] :
      ( X0 = X1
      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X10,X11),X11) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_1) ).

fof(f3054,plain,
    spl0_289,
    inference(avatar_split_clause,[],[f32,f3052]) ).

fof(f3052,plain,
    ( spl0_289
  <=> ! [X6,X2,X7] :
        ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Osynth(X6),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f32,axiom,
    ! [X2,X6,X7] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).

fof(f3050,plain,
    spl0_288,
    inference(avatar_split_clause,[],[f5,f3048]) ).

fof(f3048,plain,
    ( spl0_288
  <=> ! [X6,X2,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f5,axiom,
    ! [X2,X6,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).

fof(f2904,plain,
    ( spl0_287
    | ~ spl0_123
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f2809,f1683,f1049,f2901]) ).

fof(f2809,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_123
    | ~ spl0_203 ),
    inference(superposition,[],[f1684,f1050]) ).

fof(f2831,plain,
    spl0_286,
    inference(avatar_split_clause,[],[f382,f2829]) ).

fof(f382,axiom,
    ! [X10,X0,X11] : c_List_Orev(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Oappend(c_List_Orev(X10,X11),c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_0) ).

fof(f2827,plain,
    spl0_285,
    inference(avatar_split_clause,[],[f370,f2825]) ).

fof(f2825,plain,
    ( spl0_285
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Otl(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Otl(X10,X11),X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f370,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Otl(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Otl(X10,X11),X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl__append2_0) ).

fof(f2823,plain,
    spl0_284,
    inference(avatar_split_clause,[],[f366,f2821]) ).

fof(f2821,plain,
    ( spl0_284
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_Obutlast(X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f366,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Obutlast(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(X10,c_List_Obutlast(X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__append_1) ).

fof(f2819,plain,
    spl0_283,
    inference(avatar_split_clause,[],[f346,f2817]) ).

fof(f346,axiom,
    ! [X10,X0,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Obutlast(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olist_OCons(X0,c_List_Obutlast(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_1) ).

fof(f2815,plain,
    spl0_282,
    inference(avatar_split_clause,[],[f307,f2813]) ).

fof(f2813,plain,
    ( spl0_282
  <=> ! [X11,X0,X14,X10,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11) = c_List_Oset(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f307,axiom,
    ! [X10,X0,X11,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11) = c_List_Oset(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__insort_0) ).

fof(f2806,plain,
    spl0_281,
    inference(avatar_split_clause,[],[f288,f2804]) ).

fof(f2804,plain,
    ( spl0_281
  <=> ! [X6,X2,X5] :
        ( ~ c_in(X2,c_Message_Oanalz(X5),tc_Message_Omsg)
        | c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
        | ~ c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f288,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(X2,c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__trans_0) ).

fof(f2802,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f222,f2800]) ).

fof(f2800,plain,
    ( spl0_280
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_OdropWhile(X12,X10,X11) != c_List_Olist_ONil(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f222,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_OdropWhile(X12,X10,X11) != c_List_Olist_ONil(X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__eq__Nil__conv_0) ).

fof(f2798,plain,
    spl0_279,
    inference(avatar_split_clause,[],[f221,f2796]) ).

fof(f221,axiom,
    ! [X10,X0,X11,X12] :
      ( ~ hBOOL(hAPP(X12,X0))
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Ofilter(X12,X10,X11) != c_List_Olist_ONil(X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__empty__conv_0) ).

fof(f2794,plain,
    spl0_278,
    inference(avatar_split_clause,[],[f217,f2792]) ).

fof(f2792,plain,
    ( spl0_278
  <=> ! [X11,X0,X10,X19] : c_lessequals(c_List_Oset(c_List_Olist__update(X10,X19,X0,X11),X11),c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11),tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f217,axiom,
    ! [X10,X0,X11,X19] : c_lessequals(c_List_Oset(c_List_Olist__update(X10,X19,X0,X11),X11),c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11),tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__update__subset__insert_0) ).

fof(f2790,plain,
    spl0_277,
    inference(avatar_split_clause,[],[f159,f2788]) ).

fof(f2788,plain,
    ( spl0_277
  <=> ! [X2,X21,X3] :
        ( c_Message_Oagent_OSpy = X21
        | c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OGets(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f159,axiom,
    ! [X2,X21,X3] :
      ( c_Message_Oagent_OSpy = X21
      | c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).

fof(f2786,plain,
    spl0_276,
    inference(avatar_split_clause,[],[f154,f2784]) ).

fof(f2784,plain,
    ( spl0_276
  <=> ! [X6,X2,X5] :
        ( ~ c_in(X2,c_Message_Osynth(X5),tc_Message_Omsg)
        | c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
        | ~ c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f154,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(X2,c_Message_Osynth(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).

fof(f2782,plain,
    spl0_275,
    inference(avatar_split_clause,[],[f20,f2780]) ).

fof(f2780,plain,
    ( spl0_275
  <=> ! [X6,X2,X5] :
        ( ~ c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
        | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
        | ~ c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f20,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).

fof(f2680,plain,
    ( spl0_274
    | ~ spl0_69
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f2605,f2561,f764,f2678]) ).

fof(f2561,plain,
    ( spl0_261
  <=> hBOOL(hAPP(c_Message_Oanalz(c_Event_Obad),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f2605,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)
    | ~ spl0_69
    | ~ spl0_261 ),
    inference(resolution,[],[f2563,f765]) ).

fof(f2563,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f2561]) ).

fof(f2613,plain,
    spl0_273,
    inference(avatar_split_clause,[],[f411,f2611]) ).

fof(f2611,plain,
    ( spl0_273
  <=> ! [X4,X21,X3,X2] : c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg) = c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X4,X2),X3,tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f411,axiom,
    ! [X2,X21,X3,X4] : c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg) = c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X4,X2),X3,tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).

fof(f2609,plain,
    spl0_272,
    inference(avatar_split_clause,[],[f401,f2607]) ).

fof(f401,axiom,
    ! [X2,X21,X3,X4] : c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X4,X2),X3,tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).

fof(f2604,plain,
    spl0_271,
    inference(avatar_split_clause,[],[f350,f2602]) ).

fof(f2602,plain,
    ( spl0_271
  <=> ! [X0,X11,X10] :
        ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) = X10
        | c_List_Orev(X10,X11) != c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f350,axiom,
    ! [X10,X0,X11] :
      ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) = X10
      | c_List_Orev(X10,X11) != c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).

fof(f2600,plain,
    spl0_270,
    inference(avatar_split_clause,[],[f333,f2598]) ).

fof(f2598,plain,
    ( spl0_270
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_OtakeWhile(X12,X10,X11) != X10
        | ~ c_in(X0,c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f333,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_OtakeWhile(X12,X10,X11) != X10
      | ~ c_in(X0,c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_0) ).

fof(f2596,plain,
    spl0_269,
    inference(avatar_split_clause,[],[f253,f2594]) ).

fof(f253,axiom,
    ! [X0,X11,X26,X14,X15] :
      ( ~ class_HOL_Oord(X14)
      | ~ c_lessequals(X15,X26,tc_fun(X11,X14))
      | c_lessequals(hAPP(X15,X0),hAPP(X26,X0),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).

fof(f2592,plain,
    spl0_268,
    inference(avatar_split_clause,[],[f235,f2590]) ).

fof(f2590,plain,
    ( spl0_268
  <=> ! [X2,X4,X21,X3] :
        ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f235,axiom,
    ! [X2,X21,X3,X4] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).

fof(f2588,plain,
    spl0_267,
    inference(avatar_split_clause,[],[f227,f2586]) ).

fof(f2586,plain,
    ( spl0_267
  <=> ! [X0,X11,X10] :
        ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Olength__unique(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olength__unique(X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f227,axiom,
    ! [X10,X0,X11] :
      ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Olength__unique(c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Olength__unique(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__unique_Osimps_I2_J_0) ).

fof(f2584,plain,
    spl0_266,
    inference(avatar_split_clause,[],[f224,f2582]) ).

fof(f2582,plain,
    ( spl0_266
  <=> ! [X0,X11,X10] :
        ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | c_List_Oremdups(X10,X11) = c_List_Oremdups(c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f224,axiom,
    ! [X10,X0,X11] :
      ( ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | c_List_Oremdups(X10,X11) = c_List_Oremdups(c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_0) ).

fof(f2580,plain,
    spl0_265,
    inference(avatar_split_clause,[],[f213,f2578]) ).

fof(f2578,plain,
    ( spl0_265
  <=> ! [X6,X2] :
        ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
        | c_Message_Osynth(c_Message_Oanalz(X6)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f213,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | c_Message_Osynth(c_Message_Oanalz(X6)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).

fof(f2576,plain,
    spl0_264,
    inference(avatar_split_clause,[],[f205,f2574]) ).

fof(f2574,plain,
    ( spl0_264
  <=> ! [X11,X0,X14,X10,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | ~ c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f205,axiom,
    ! [X10,X0,X11,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | ~ c_in(X0,c_List_Oset(X10,X11),X11)
      | ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__insort_0) ).

fof(f2572,plain,
    spl0_263,
    inference(avatar_split_clause,[],[f190,f2570]) ).

fof(f2570,plain,
    ( spl0_263
  <=> ! [X6,X2,X37] :
        ( c_Message_Oanalz(X6) != c_Message_Oanalz(X37)
        | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X37,tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f190,axiom,
    ! [X2,X37,X6] :
      ( c_Message_Oanalz(X6) != c_Message_Oanalz(X37)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X37,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).

fof(f2568,plain,
    spl0_262,
    inference(avatar_split_clause,[],[f163,f2566]) ).

fof(f2566,plain,
    ( spl0_262
  <=> ! [X12,X11,X10] :
        ( c_List_OdropWhile(X12,X10,X11) = c_List_Olist_ONil(X11)
        | ~ hBOOL(hAPP(X12,c_List_Ohd(c_List_OdropWhile(X12,X10,X11),X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f163,axiom,
    ! [X10,X11,X12] :
      ( c_List_OdropWhile(X12,X10,X11) = c_List_Olist_ONil(X11)
      | ~ hBOOL(hAPP(X12,c_List_Ohd(c_List_OdropWhile(X12,X10,X11),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__dropWhile_0) ).

fof(f2564,plain,
    ( spl0_261
    | ~ spl0_68
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f2496,f2302,f760,f2561]) ).

fof(f2302,plain,
    ( spl0_251
  <=> c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f2496,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_68
    | ~ spl0_251 ),
    inference(resolution,[],[f2304,f761]) ).

fof(f2304,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f2302]) ).

fof(f2559,plain,
    spl0_260,
    inference(avatar_split_clause,[],[f162,f2557]) ).

fof(f2557,plain,
    ( spl0_260
  <=> ! [X2,X21,X3] :
        ( c_in(X21,c_Event_Obad,tc_Message_Oagent)
        | c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f162,axiom,
    ! [X2,X21,X3] :
      ( c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).

fof(f2555,plain,
    spl0_259,
    inference(avatar_split_clause,[],[f160,f2553]) ).

fof(f2553,plain,
    ( spl0_259
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Osynth(c_Message_Oanalz(X5)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f160,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Osynth(c_Message_Oanalz(X5)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).

fof(f2551,plain,
    spl0_258,
    inference(avatar_split_clause,[],[f146,f2549]) ).

fof(f2549,plain,
    ( spl0_258
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Ofilter(X12,X10,X11) != X10
        | ~ c_in(X0,c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f146,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Ofilter(X12,X10,X11) != X10
      | ~ c_in(X0,c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__id__conv_0) ).

fof(f2547,plain,
    spl0_257,
    inference(avatar_split_clause,[],[f109,f2545]) ).

fof(f2545,plain,
    ( spl0_257
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Ofilter(X12,X10,X11) = c_List_Oremove1(X0,c_List_Ofilter(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f109,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Ofilter(X12,X10,X11) = c_List_Oremove1(X0,c_List_Ofilter(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1__filter__not_0) ).

fof(f2543,plain,
    spl0_256,
    inference(avatar_split_clause,[],[f90,f2541]) ).

fof(f2541,plain,
    ( spl0_256
  <=> ! [X11,X0,X12,X29] :
        ( ~ hBOOL(hAPP(X12,X0))
        | c_List_Oreplicate(X29,X0,X11) = c_List_Ofilter(X12,c_List_Oreplicate(X29,X0,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f90,axiom,
    ! [X0,X29,X11,X12] :
      ( ~ hBOOL(hAPP(X12,X0))
      | c_List_Oreplicate(X29,X0,X11) = c_List_Ofilter(X12,c_List_Oreplicate(X29,X0,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__replicate_0) ).

fof(f2539,plain,
    spl0_255,
    inference(avatar_split_clause,[],[f64,f2537]) ).

fof(f2537,plain,
    ( spl0_255
  <=> ! [X2,X4,X21,X3] :
        ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f64,axiom,
    ! [X2,X21,X3,X4] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

fof(f2535,plain,
    spl0_254,
    inference(avatar_split_clause,[],[f39,f2533]) ).

fof(f2533,plain,
    ( spl0_254
  <=> ! [X10,X11,X0,X12] :
        ( ~ hBOOL(hAPP(X12,X0))
        | c_List_OdropWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_OdropWhile(X12,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f39,axiom,
    ! [X10,X0,X11,X12] :
      ( ~ hBOOL(hAPP(X12,X0))
      | c_List_OdropWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_OdropWhile(X12,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_0) ).

fof(f2531,plain,
    spl0_253,
    inference(avatar_split_clause,[],[f38,f2529]) ).

fof(f2529,plain,
    ( spl0_253
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Olist_OCons(X0,X10,X11) = c_List_OdropWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f38,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Olist_OCons(X0,X10,X11) = c_List_OdropWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_1) ).

fof(f2527,plain,
    spl0_252,
    inference(avatar_split_clause,[],[f37,f2525]) ).

fof(f2525,plain,
    ( spl0_252
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Ofilter(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Ofilter(X12,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f37,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Ofilter(X12,c_List_Olist_OCons(X0,X10,X11),X11) = c_List_Ofilter(X12,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_1) ).

fof(f2305,plain,
    ( spl0_251
    | ~ spl0_123
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f2193,f1639,f1049,f2302]) ).

fof(f2193,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_123
    | ~ spl0_192 ),
    inference(superposition,[],[f1640,f1050]) ).

fof(f2109,plain,
    spl0_250,
    inference(avatar_split_clause,[],[f456,f2107]) ).

fof(f2107,plain,
    ( spl0_250
  <=> ! [X16,X11,X1] : c_List_Olist_OCons(X1,X16,X11) = c_List_Orev(c_List_Orotate1(c_List_Olist_OCons(X1,c_List_Orev(X16,X11),X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f456,plain,
    ! [X11,X1,X16] : c_List_Olist_OCons(X1,X16,X11) = c_List_Orev(c_List_Orotate1(c_List_Olist_OCons(X1,c_List_Orev(X16,X11),X11),X11),X11),
    inference(forward_demodulation,[],[f384,f385]) ).

fof(f384,axiom,
    ! [X11,X1,X16] : c_List_Olist_OCons(X1,X16,X11) = c_List_Orev(c_List_Oappend(c_List_Orev(X16,X11),c_List_Olist_OCons(X1,c_List_Olist_ONil(X11),X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).

fof(f2105,plain,
    spl0_249,
    inference(avatar_split_clause,[],[f430,f2103]) ).

fof(f430,axiom,
    ! [X0,X11,X45,X35] : c_List_Oappend(c_List_Olist_OCons(X0,X35,X11),X45,X11) = c_List_Olist_OCons(X0,c_List_Oappend(X35,X45,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).

fof(f2101,plain,
    spl0_248,
    inference(avatar_split_clause,[],[f426,f2099]) ).

fof(f426,axiom,
    ! [X21,X0,X11,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X21,X11),X11) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X21,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).

fof(f2097,plain,
    spl0_247,
    inference(avatar_split_clause,[],[f392,f2095]) ).

fof(f392,axiom,
    ! [X51,X10,X0,X11] : c_List_Oappend(X10,c_List_Oappend(X0,X51,X11),X11) = c_List_Oappend(c_List_Oappend(X10,X0,X11),X51,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).

fof(f2090,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f387,f2088]) ).

fof(f2088,plain,
    ( spl0_246
  <=> ! [X2,X21,X3] : c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f387,axiom,
    ! [X2,X21,X3] : c_Event_Oknows(X21,c_List_Olist_OCons(c_Event_Oevent_ONotes(X21,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).

fof(f2086,plain,
    spl0_245,
    inference(avatar_split_clause,[],[f385,f2084]) ).

fof(f2082,plain,
    spl0_244,
    inference(avatar_split_clause,[],[f345,f2080]) ).

fof(f345,axiom,
    ! [X0,X11,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_List_Olinorder__class_Oinsort__key(X15,X0,c_List_Olist_ONil(X11),X11,X14) = c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insort__key_Osimps_I1_J_0) ).

fof(f2078,plain,
    spl0_243,
    inference(avatar_split_clause,[],[f308,f2076]) ).

fof(f2076,plain,
    ( spl0_243
  <=> ! [X11,X0,X45,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_lessequals(X0,X1,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X45,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f308,axiom,
    ! [X0,X11,X1,X45] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_lessequals(X0,X1,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X45,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_0) ).

fof(f2074,plain,
    spl0_242,
    inference(avatar_split_clause,[],[f297,f2072]) ).

fof(f297,axiom,
    ! [X21,X11,X4] :
      ( X4 = X21
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(X4,X21,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).

fof(f2070,plain,
    spl0_241,
    inference(avatar_split_clause,[],[f291,f2068]) ).

fof(f2068,plain,
    ( spl0_241
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f291,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).

fof(f2066,plain,
    spl0_240,
    inference(avatar_split_clause,[],[f290,f2064]) ).

fof(f290,axiom,
    ! [X6,X5] :
      ( c_lessequals(X5,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).

fof(f2062,plain,
    spl0_239,
    inference(avatar_split_clause,[],[f257,f2060]) ).

fof(f2060,plain,
    ( spl0_239
  <=> ! [X10,X11,X0,X12] :
        ( c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X12,X10,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f257,axiom,
    ! [X10,X0,X11,X12] :
      ( c_in(X0,c_List_Oset(X10,X11),X11)
      | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X12,X10,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__takeWhileD_0) ).

fof(f2058,plain,
    spl0_238,
    inference(avatar_split_clause,[],[f241,f2056]) ).

fof(f2056,plain,
    ( spl0_238
  <=> ! [X4,X11,X33,X21] :
        ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
        | c_lessequals(X21,c_Set_Oinsert(X33,X4,X11),tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f241,axiom,
    ! [X21,X11,X4,X33] :
      ( ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_lessequals(X21,c_Set_Oinsert(X33,X4,X11),tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

fof(f2054,plain,
    spl0_237,
    inference(avatar_split_clause,[],[f240,f2052]) ).

fof(f240,axiom,
    ! [X21,X0,X11,X4] :
      ( c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).

fof(f2050,plain,
    ( spl0_236
    | ~ spl0_69
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f2006,f1953,f764,f2048]) ).

fof(f1953,plain,
    ( spl0_222
  <=> hBOOL(hAPP(c_Message_Oparts(c_Event_Obad),c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f2006,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)
    | ~ spl0_69
    | ~ spl0_222 ),
    inference(resolution,[],[f1955,f765]) ).

fof(f1955,plain,
    ( hBOOL(hAPP(c_Message_Oparts(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1953]) ).

fof(f2046,plain,
    spl0_235,
    inference(avatar_split_clause,[],[f230,f2044]) ).

fof(f2044,plain,
    ( spl0_235
  <=> ! [X0,X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11)
        | c_in(X0,c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f230,axiom,
    ! [X10,X0,X11] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11)
      | c_in(X0,c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_2) ).

fof(f2042,plain,
    spl0_234,
    inference(avatar_split_clause,[],[f214,f2040]) ).

fof(f2040,plain,
    ( spl0_234
  <=> ! [X12,X11,X10] :
        ( c_List_OtakeWhile(X12,X10,X11) = X10
        | c_in(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X12,X10,X11),c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f214,axiom,
    ! [X10,X11,X12] :
      ( c_List_OtakeWhile(X12,X10,X11) = X10
      | c_in(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X12,X10,X11),c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_1) ).

fof(f2038,plain,
    spl0_233,
    inference(avatar_split_clause,[],[f189,f2036]) ).

fof(f189,axiom,
    ! [X10,X11,X16] : c_List_Orev(c_List_Oappend(X10,X16,X11),X11) = c_List_Oappend(c_List_Orev(X16,X11),c_List_Orev(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__append_0) ).

fof(f2034,plain,
    spl0_232,
    inference(avatar_split_clause,[],[f176,f2032]) ).

fof(f2032,plain,
    ( spl0_232
  <=> ! [X11,X12,X10] :
        ( hBOOL(hAPP(X12,X10))
        | ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X11)))
        | hBOOL(hAPP(X12,c_List_Osko__List__Xrev__induct__1__2(X12,X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f176,axiom,
    ! [X10,X11,X12] :
      ( hBOOL(hAPP(X12,X10))
      | ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X11)))
      | hBOOL(hAPP(X12,c_List_Osko__List__Xrev__induct__1__2(X12,X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__induct_0) ).

fof(f2030,plain,
    spl0_231,
    inference(avatar_split_clause,[],[f153,f2028]) ).

fof(f2028,plain,
    ( spl0_231
  <=> ! [X2,X4,X21,X3] :
        ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f153,axiom,
    ! [X2,X21,X3,X4] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).

fof(f2026,plain,
    spl0_230,
    inference(avatar_split_clause,[],[f147,f2024]) ).

fof(f2024,plain,
    ( spl0_230
  <=> ! [X11,X0,X10,X1] :
        ( c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X10,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f147,axiom,
    ! [X10,X0,X11,X1] :
      ( c_in(X0,c_List_Oset(X10,X11),X11)
      | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X10,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_notin__set__remove1_0) ).

fof(f2022,plain,
    spl0_229,
    inference(avatar_split_clause,[],[f142,f2020]) ).

fof(f2020,plain,
    ( spl0_229
  <=> ! [X4,X21,X3,X2] :
        ( c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f142,axiom,
    ! [X2,X21,X3,X4] :
      ( c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).

fof(f2018,plain,
    spl0_228,
    inference(avatar_split_clause,[],[f134,f2016]) ).

fof(f2016,plain,
    ( spl0_228
  <=> ! [X19,X11,X0,X10,X1] : c_List_Olist__update(c_List_Olist__update(X10,X19,X0,X11),X19,X1,X11) = c_List_Olist__update(X10,X19,X1,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f134,axiom,
    ! [X10,X0,X11,X1,X19] : c_List_Olist__update(c_List_Olist__update(X10,X19,X0,X11),X19,X1,X11) = c_List_Olist__update(X10,X19,X1,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__overwrite_0) ).

fof(f2014,plain,
    spl0_227,
    inference(avatar_split_clause,[],[f125,f2012]) ).

fof(f125,axiom,
    ! [X21,X11,X4] :
      ( X4 = X21
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool))
      | c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_2) ).

fof(f2010,plain,
    spl0_226,
    inference(avatar_split_clause,[],[f72,f2008]) ).

fof(f2008,plain,
    ( spl0_226
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f72,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).

fof(f2005,plain,
    spl0_225,
    inference(avatar_split_clause,[],[f71,f2003]) ).

fof(f71,axiom,
    ! [X6,X5] :
      ( c_lessequals(X5,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).

fof(f2001,plain,
    spl0_224,
    inference(avatar_split_clause,[],[f4,f1999]) ).

fof(f1999,plain,
    ( spl0_224
  <=> ! [X6,X5] :
        ( ~ c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
        | c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f4,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).

fof(f1997,plain,
    spl0_223,
    inference(avatar_split_clause,[],[f3,f1995]) ).

fof(f3,axiom,
    ! [X6,X5] :
      ( c_lessequals(X5,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).

fof(f1956,plain,
    ( spl0_222
    | ~ spl0_68
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1830,f1776,f760,f1953]) ).

fof(f1776,plain,
    ( spl0_221
  <=> c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f1830,plain,
    ( hBOOL(hAPP(c_Message_Oparts(c_Event_Obad),c_Message_Oagent_OSpy))
    | ~ spl0_68
    | ~ spl0_221 ),
    inference(resolution,[],[f1778,f761]) ).

fof(f1778,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f1779,plain,
    ( spl0_221
    | ~ spl0_123
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1730,f1572,f1049,f1776]) ).

fof(f1730,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),tc_Message_Omsg)
    | ~ spl0_123
    | ~ spl0_188 ),
    inference(superposition,[],[f1573,f1050]) ).

fof(f1758,plain,
    spl0_220,
    inference(avatar_split_clause,[],[f417,f1756]) ).

fof(f1756,plain,
    ( spl0_220
  <=> ! [X21,X11,X0,X1] :
        ( X0 = X1
        | hBOOL(hAPP(X21,X0))
        | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X21,X11),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f417,axiom,
    ! [X21,X0,X11,X1] :
      ( X0 = X1
      | hBOOL(hAPP(X21,X0))
      | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X21,X11),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f1754,plain,
    spl0_219,
    inference(avatar_split_clause,[],[f372,f1752]) ).

fof(f1752,plain,
    ( spl0_219
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Ohd(X10,X11) = c_List_Ohd(c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f372,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Ohd(X10,X11) = c_List_Ohd(c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__append_1) ).

fof(f1750,plain,
    spl0_218,
    inference(avatar_split_clause,[],[f369,f1748]) ).

fof(f1748,plain,
    ( spl0_218
  <=> ! [X16,X11,X10] :
        ( c_List_Olist_ONil(X11) = X16
        | c_List_Olast(c_List_Oappend(X10,X16,X11),X11) = c_List_Olast(X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f369,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olast(c_List_Oappend(X10,X16,X11),X11) = c_List_Olast(X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__append_1) ).

fof(f1746,plain,
    spl0_217,
    inference(avatar_split_clause,[],[f354,f1744]) ).

fof(f1744,plain,
    ( spl0_217
  <=> ! [X0,X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Olast(X10,X11) = c_List_Olast(c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f354,axiom,
    ! [X10,X0,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Olast(X10,X11) = c_List_Olast(c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Osimps_1) ).

fof(f1742,plain,
    spl0_216,
    inference(avatar_split_clause,[],[f351,f1740]) ).

fof(f1740,plain,
    ( spl0_216
  <=> ! [X10,X11,X0,X12] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Olist_ONil(X11) = c_List_OtakeWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f351,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Olist_ONil(X11) = c_List_OtakeWhile(X12,c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_1) ).

fof(f1738,plain,
    spl0_215,
    inference(avatar_split_clause,[],[f336,f1736]) ).

fof(f336,axiom,
    ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oanalz(X6),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).

fof(f1734,plain,
    spl0_214,
    inference(avatar_split_clause,[],[f332,f1732]) ).

fof(f1732,plain,
    ( spl0_214
  <=> ! [X0,X11,X10] :
        ( c_in(X0,c_List_Oset(X10,X11),X11)
        | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X10,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f332,axiom,
    ! [X10,X0,X11] :
      ( c_in(X0,c_List_Oset(X10,X11),X11)
      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X10,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__butlastD_0) ).

fof(f1725,plain,
    spl0_213,
    inference(avatar_split_clause,[],[f331,f1723]) ).

fof(f331,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Oanalz(X5),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).

fof(f1721,plain,
    spl0_212,
    inference(avatar_split_clause,[],[f327,f1719]) ).

fof(f327,axiom,
    ! [X0,X11,X12,X13] :
      ( ~ hBOOL(hAPP(X12,X0))
      | hBOOL(hAPP(X13,X0))
      | ~ c_lessequals(X12,X13,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).

fof(f1717,plain,
    spl0_211,
    inference(avatar_split_clause,[],[f321,f1715]) ).

fof(f321,axiom,
    ! [X21,X11,X8,X4] :
      ( ~ c_in(X8,X21,X11)
      | c_in(X8,X4,X11)
      | ~ c_lessequals(X21,X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).

fof(f1713,plain,
    spl0_210,
    inference(avatar_split_clause,[],[f319,f1711]) ).

fof(f1711,plain,
    ( spl0_210
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_lessequals(X0,X1,X11)
        | ~ c_lessequals(X1,X27,X11)
        | c_lessequals(X0,X27,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f319,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_lessequals(X0,X1,X11)
      | ~ c_lessequals(X1,X27,X11)
      | c_lessequals(X0,X27,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).

fof(f1709,plain,
    spl0_209,
    inference(avatar_split_clause,[],[f318,f1707]) ).

fof(f1707,plain,
    ( spl0_209
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_lessequals(X1,X0,X11)
        | ~ c_lessequals(X27,X1,X11)
        | c_lessequals(X27,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f318,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_lessequals(X1,X0,X11)
      | ~ c_lessequals(X27,X1,X11)
      | c_lessequals(X27,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).

fof(f1705,plain,
    spl0_208,
    inference(avatar_split_clause,[],[f243,f1703]) ).

fof(f1703,plain,
    ( spl0_208
  <=> ! [X33,X11,X9,X21] :
        ( X9 = X33
        | c_in(X9,X21,X11)
        | ~ c_in(X9,c_Set_Oinsert(X33,X21,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f243,axiom,
    ! [X21,X11,X9,X33] :
      ( X9 = X33
      | c_in(X9,X21,X11)
      | ~ c_in(X9,c_Set_Oinsert(X33,X21,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).

fof(f1701,plain,
    spl0_207,
    inference(avatar_split_clause,[],[f161,f1699]) ).

fof(f161,axiom,
    ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Osynth(X6),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__insert_0) ).

fof(f1697,plain,
    spl0_206,
    inference(avatar_split_clause,[],[f156,f1695]) ).

fof(f1695,plain,
    ( spl0_206
  <=> ! [X11,X0,X12,X29] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Olist_ONil(X11) = c_List_Ofilter(X12,c_List_Oreplicate(X29,X0,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f156,axiom,
    ! [X0,X11,X29,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Olist_ONil(X11) = c_List_Ofilter(X12,c_List_Oreplicate(X29,X0,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__replicate_1) ).

fof(f1693,plain,
    spl0_205,
    inference(avatar_split_clause,[],[f143,f1691]) ).

fof(f1691,plain,
    ( spl0_205
  <=> ! [X2,X21,X3] :
        ( c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f143,axiom,
    ! [X2,X21,X3] :
      ( c_in(X2,c_Event_Oknows(X21,X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).

fof(f1689,plain,
    spl0_204,
    inference(avatar_split_clause,[],[f119,f1687]) ).

fof(f1687,plain,
    ( spl0_204
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | ~ c_lessequals(X1,X27,X11)
        | c_HOL_Oord__class_Oless(X0,X27,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f119,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | ~ c_lessequals(X1,X27,X11)
      | c_HOL_Oord__class_Oless(X0,X27,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).

fof(f1685,plain,
    ( spl0_203
    | ~ spl0_34
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1569,f1398,f616,f1683]) ).

fof(f1398,plain,
    ( spl0_180
  <=> ! [X4,X11,X0,X21] :
        ( c_in(X0,X4,X11)
        | ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1569,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_34
    | ~ spl0_180 ),
    inference(resolution,[],[f1399,f617]) ).

fof(f1399,plain,
    ( ! [X21,X0,X11,X4] :
        ( ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool))
        | c_in(X0,X4,X11) )
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1681,plain,
    spl0_202,
    inference(avatar_split_clause,[],[f118,f1679]) ).

fof(f1679,plain,
    ( spl0_202
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X1,X27,X11)
        | ~ c_lessequals(X0,X1,X11)
        | c_HOL_Oord__class_Oless(X0,X27,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f118,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X1,X27,X11)
      | ~ c_lessequals(X0,X1,X11)
      | c_HOL_Oord__class_Oless(X0,X27,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).

fof(f1677,plain,
    spl0_201,
    inference(avatar_split_clause,[],[f115,f1675]) ).

fof(f1675,plain,
    ( spl0_201
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X27,X1,X11)
        | ~ c_lessequals(X1,X0,X11)
        | c_HOL_Oord__class_Oless(X27,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f115,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X27,X1,X11)
      | ~ c_lessequals(X1,X0,X11)
      | c_HOL_Oord__class_Oless(X27,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).

fof(f1673,plain,
    spl0_200,
    inference(avatar_split_clause,[],[f114,f1671]) ).

fof(f1671,plain,
    ( spl0_200
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
        | ~ c_lessequals(X27,X1,X11)
        | c_HOL_Oord__class_Oless(X27,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f114,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
      | ~ c_lessequals(X27,X1,X11)
      | c_HOL_Oord__class_Oless(X27,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).

fof(f1669,plain,
    spl0_199,
    inference(avatar_split_clause,[],[f105,f1667]) ).

fof(f1667,plain,
    ( spl0_199
  <=> ! [X11,X14,X15,X26] :
        ( ~ class_HOL_Oord(X14)
        | ~ c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
        | c_lessequals(X15,X26,tc_fun(X11,X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f105,axiom,
    ! [X11,X26,X14,X15] :
      ( ~ class_HOL_Oord(X14)
      | ~ c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
      | c_lessequals(X15,X26,tc_fun(X11,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_0) ).

fof(f1665,plain,
    spl0_198,
    inference(avatar_split_clause,[],[f93,f1663]) ).

fof(f1663,plain,
    ( spl0_198
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_lessequals(X0,X1,X11)
        | c_HOL_Oord__class_Oless(X0,X1,X11)
        | c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f93,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_lessequals(X0,X1,X11)
      | c_HOL_Oord__class_Oless(X0,X1,X11)
      | c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).

fof(f1661,plain,
    spl0_197,
    inference(avatar_split_clause,[],[f88,f1659]) ).

fof(f88,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Osynth(X5),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).

fof(f1657,plain,
    spl0_196,
    inference(avatar_split_clause,[],[f87,f1655]) ).

fof(f1655,plain,
    ( spl0_196
  <=> ! [X2,X4,X21,X3] :
        ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f87,axiom,
    ! [X2,X21,X3,X4] :
      ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X4,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).

fof(f1653,plain,
    spl0_195,
    inference(avatar_split_clause,[],[f86,f1651]) ).

fof(f1651,plain,
    ( spl0_195
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | ~ c_HOL_Oord__class_Oless(X1,X27,X11)
        | c_HOL_Oord__class_Oless(X0,X27,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f86,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | ~ c_HOL_Oord__class_Oless(X1,X27,X11)
      | c_HOL_Oord__class_Oless(X0,X27,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).

fof(f1649,plain,
    spl0_194,
    inference(avatar_split_clause,[],[f84,f1647]) ).

fof(f1647,plain,
    ( spl0_194
  <=> ! [X4,X11,X8,X21] :
        ( ~ c_in(X8,X21,X11)
        | c_in(X8,X4,X11)
        | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f84,axiom,
    ! [X21,X11,X8,X4] :
      ( ~ c_in(X8,X21,X11)
      | c_in(X8,X4,X11)
      | ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubsetD_0) ).

fof(f1645,plain,
    spl0_193,
    inference(avatar_split_clause,[],[f83,f1643]) ).

fof(f1643,plain,
    ( spl0_193
  <=> ! [X11,X0,X27,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
        | ~ c_HOL_Oord__class_Oless(X27,X1,X11)
        | c_HOL_Oord__class_Oless(X27,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f83,axiom,
    ! [X0,X11,X1,X27] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
      | ~ c_HOL_Oord__class_Oless(X27,X1,X11)
      | c_HOL_Oord__class_Oless(X27,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).

fof(f1641,plain,
    ( spl0_192
    | ~ spl0_43
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1568,f1398,f652,f1639]) ).

fof(f1568,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_43
    | ~ spl0_180 ),
    inference(resolution,[],[f1399,f653]) ).

fof(f1637,plain,
    spl0_191,
    inference(avatar_split_clause,[],[f74,f1635]) ).

fof(f1635,plain,
    ( spl0_191
  <=> ! [X11,X14,X15,X26] :
        ( ~ class_HOL_Oord(X14)
        | ~ c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
        | ~ c_lessequals(X26,X15,tc_fun(X11,X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f74,axiom,
    ! [X11,X26,X14,X15] :
      ( ~ class_HOL_Oord(X14)
      | ~ c_HOL_Oord__class_Oless(X15,X26,tc_fun(X11,X14))
      | ~ c_lessequals(X26,X15,tc_fun(X11,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).

fof(f1633,plain,
    spl0_190,
    inference(avatar_split_clause,[],[f22,f1631]) ).

fof(f22,axiom,
    ! [X2,X6] : c_lessequals(c_Set_Oinsert(X2,c_Message_Oparts(X6),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).

fof(f1629,plain,
    spl0_189,
    inference(avatar_split_clause,[],[f6,f1627]) ).

fof(f6,axiom,
    ! [X6,X5] :
      ( ~ c_lessequals(X5,X6,tc_fun(tc_Message_Omsg,tc_bool))
      | c_lessequals(c_Message_Oparts(X5),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).

fof(f1574,plain,
    ( spl0_188
    | ~ spl0_32
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1566,f1398,f608,f1572]) ).

fof(f1566,plain,
    ( ! [X0,X1] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_32
    | ~ spl0_180 ),
    inference(resolution,[],[f1399,f609]) ).

fof(f1431,plain,
    spl0_187,
    inference(avatar_split_clause,[],[f453,f1429]) ).

fof(f1429,plain,
    ( spl0_187
  <=> ! [X2,X4,X3] :
        ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f453,plain,
    ! [X2,X3,X4] :
      ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(definition_unfolding,[],[f2,f375]) ).

fof(f2,axiom,
    ! [X2,X3,X4] :
      ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__into__used_0) ).

fof(f1427,plain,
    spl0_186,
    inference(avatar_split_clause,[],[f374,f1425]) ).

fof(f1425,plain,
    ( spl0_186
  <=> ! [X50,X21,X3] : c_lessequals(c_Event_Oknows(X21,X3),c_Event_Oknows(X21,c_List_Olist_OCons(X50,X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f374,axiom,
    ! [X50,X21,X3] : c_lessequals(c_Event_Oknows(X21,X3),c_Event_Oknows(X21,c_List_Olist_OCons(X50,X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).

fof(f1420,plain,
    spl0_185,
    inference(avatar_split_clause,[],[f353,f1418]) ).

fof(f1418,plain,
    ( spl0_185
  <=> ! [X0,X11] : c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) = c_List_Orev(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f353,axiom,
    ! [X0,X11] : c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11) = c_List_Orev(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).

fof(f1416,plain,
    spl0_184,
    inference(avatar_split_clause,[],[f344,f1414]) ).

fof(f1414,plain,
    ( spl0_184
  <=> ! [X0,X11,X10] : c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11) = c_List_Oset(c_List_Olist_OCons(X0,X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f344,axiom,
    ! [X10,X0,X11] : c_Set_Oinsert(X0,c_List_Oset(X10,X11),X11) = c_List_Oset(c_List_Olist_OCons(X0,X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).

fof(f1412,plain,
    spl0_183,
    inference(avatar_split_clause,[],[f300,f1410]) ).

fof(f1410,plain,
    ( spl0_183
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | X0 = X1
        | ~ c_lessequals(X0,X1,X11)
        | ~ c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f300,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Oorder(X11)
      | X0 = X1
      | ~ c_lessequals(X0,X1,X11)
      | ~ c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).

fof(f1408,plain,
    spl0_182,
    inference(avatar_split_clause,[],[f286,f1406]) ).

fof(f1406,plain,
    ( spl0_182
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Ohd(c_List_Orev(X10,X11),X11) = c_List_Olast(X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f286,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Ohd(c_List_Orev(X10,X11),X11) = c_List_Olast(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__rev_0) ).

fof(f1404,plain,
    spl0_181,
    inference(avatar_split_clause,[],[f277,f1402]) ).

fof(f1402,plain,
    ( spl0_181
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Ohd(X10,X11) = c_List_Olast(c_List_Orev(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f277,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Ohd(X10,X11) = c_List_Olast(c_List_Orev(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__rev_0) ).

fof(f1400,plain,
    spl0_180,
    inference(avatar_split_clause,[],[f268,f1398]) ).

fof(f268,axiom,
    ! [X21,X0,X11,X4] :
      ( c_in(X0,X4,X11)
      | ~ c_lessequals(c_Set_Oinsert(X0,X21,X11),X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).

fof(f1396,plain,
    spl0_179,
    inference(avatar_split_clause,[],[f267,f1394]) ).

fof(f1394,plain,
    ( spl0_179
  <=> ! [X6,X2] :
        ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
        | c_Message_Oanalz(X6) = c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f267,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_Message_Oanalz(X6) = c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).

fof(f1392,plain,
    spl0_178,
    inference(avatar_split_clause,[],[f258,f1390]) ).

fof(f258,axiom,
    ! [X8,X9,X5] :
      ( ~ c_in(X8,c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X8,c_Message_Oanalz(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).

fof(f1388,plain,
    spl0_177,
    inference(avatar_split_clause,[],[f254,f1386]) ).

fof(f254,axiom,
    ! [X10,X0,X11,X12] :
      ( hBOOL(hAPP(X12,X0))
      | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X12,X10,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__takeWhileD_1) ).

fof(f1384,plain,
    spl0_176,
    inference(avatar_split_clause,[],[f151,f1382]) ).

fof(f1382,plain,
    ( spl0_176
  <=> ! [X12,X11,X10] : c_lessequals(c_List_Oset(c_List_Ofilter(X12,X10,X11),X11),c_List_Oset(X10,X11),tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f151,axiom,
    ! [X10,X11,X12] : c_lessequals(c_List_Oset(c_List_Ofilter(X12,X10,X11),X11),c_List_Oset(X10,X11),tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__is__subset_0) ).

fof(f1378,plain,
    spl0_175,
    inference(avatar_split_clause,[],[f150,f1376]) ).

fof(f1376,plain,
    ( spl0_175
  <=> ! [X0,X11,X10] : c_lessequals(c_List_Oset(c_List_Oremove1(X0,X10,X11),X11),c_List_Oset(X10,X11),tc_fun(X11,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f150,axiom,
    ! [X10,X0,X11] : c_lessequals(c_List_Oset(c_List_Oremove1(X0,X10,X11),X11),c_List_Oset(X10,X11),tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__remove1__subset_0) ).

fof(f1374,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f132,f1372]) ).

fof(f1372,plain,
    ( spl0_174
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | X0 = X1
        | ~ c_lessequals(X0,X1,X11)
        | c_HOL_Oord__class_Oless(X0,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f132,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | X0 = X1
      | ~ c_lessequals(X0,X1,X11)
      | c_HOL_Oord__class_Oless(X0,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).

fof(f1370,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f130,f1368]) ).

fof(f1368,plain,
    ( spl0_173
  <=> ! [X9,X11,X33] :
        ( ~ class_Orderings_Oorder(X11)
        | X9 = X33
        | ~ c_lessequals(X9,X33,X11)
        | c_HOL_Oord__class_Oless(X9,X33,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f130,axiom,
    ! [X11,X9,X33] :
      ( ~ class_Orderings_Oorder(X11)
      | X9 = X33
      | ~ c_lessequals(X9,X33,X11)
      | c_HOL_Oord__class_Oless(X9,X33,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).

fof(f1366,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f122,f1364]) ).

fof(f122,axiom,
    ! [X10,X11,X12] : c_List_Orev(c_List_Ofilter(X12,X10,X11),X11) = c_List_Ofilter(X12,c_List_Orev(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__filter_0) ).

fof(f1362,plain,
    spl0_171,
    inference(avatar_split_clause,[],[f111,f1360]) ).

fof(f1360,plain,
    ( spl0_171
  <=> ! [X12,X11,X10] :
        ( c_List_OtakeWhile(X12,X10,X11) = X10
        | ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X12,X10,X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f111,axiom,
    ! [X10,X11,X12] :
      ( c_List_OtakeWhile(X12,X10,X11) = X10
      | ~ hBOOL(hAPP(X12,c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X12,X10,X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_2) ).

fof(f1358,plain,
    spl0_170,
    inference(avatar_split_clause,[],[f108,f1356]) ).

fof(f108,axiom,
    ! [X2,X21,X3] :
      ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X21,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).

fof(f1354,plain,
    spl0_169,
    inference(avatar_split_clause,[],[f103,f1352]) ).

fof(f1352,plain,
    ( spl0_169
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | X0 = X1
        | c_HOL_Oord__class_Oless(X1,X0,X11)
        | c_HOL_Oord__class_Oless(X0,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f103,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | X0 = X1
      | c_HOL_Oord__class_Oless(X1,X0,X11)
      | c_HOL_Oord__class_Oless(X0,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).

fof(f1350,plain,
    spl0_168,
    inference(avatar_split_clause,[],[f82,f1348]) ).

fof(f1348,plain,
    ( spl0_168
  <=> ! [X12,X11,X10] : c_List_Oremdups(c_List_Ofilter(X12,X10,X11),X11) = c_List_Ofilter(X12,c_List_Oremdups(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f82,axiom,
    ! [X10,X11,X12] : c_List_Oremdups(c_List_Ofilter(X12,X10,X11),X11) = c_List_Ofilter(X12,c_List_Oremdups(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__filter_0) ).

fof(f1346,plain,
    spl0_167,
    inference(avatar_split_clause,[],[f44,f1344]) ).

fof(f1344,plain,
    ( spl0_167
  <=> ! [X10,X11,X0,X12,X16] :
        ( hBOOL(hAPP(X12,X0))
        | c_List_Olist_OCons(X0,X10,X11) != c_List_Ofilter(X12,X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f44,axiom,
    ! [X10,X0,X11,X16,X12] :
      ( hBOOL(hAPP(X12,X0))
      | c_List_Olist_OCons(X0,X10,X11) != c_List_Ofilter(X12,X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__filterD_2) ).

fof(f1342,plain,
    spl0_166,
    inference(avatar_split_clause,[],[f41,f1340]) ).

fof(f1340,plain,
    ( spl0_166
  <=> ! [X10,X11,X12,X16,X1] :
        ( ~ hBOOL(hAPP(X12,X1))
        | c_List_OdropWhile(X12,X10,X11) != c_List_Olist_OCons(X1,X16,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f41,axiom,
    ! [X10,X11,X1,X16,X12] :
      ( ~ hBOOL(hAPP(X12,X1))
      | c_List_OdropWhile(X12,X10,X11) != c_List_Olist_OCons(X1,X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_1) ).

fof(f1338,plain,
    ( spl0_165
    | ~ spl0_70
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1065,f1022,f792,f1336]) ).

fof(f1336,plain,
    ( spl0_165
  <=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1022,plain,
    ( spl0_121
  <=> ! [X4,X2,X7] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1065,plain,
    ( ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
    | ~ spl0_70
    | ~ spl0_121 ),
    inference(resolution,[],[f1023,f793]) ).

fof(f1023,plain,
    ( ! [X2,X7,X4] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1334,plain,
    spl0_164,
    inference(avatar_split_clause,[],[f35,f1332]) ).

fof(f1332,plain,
    ( spl0_164
  <=> ! [X11,X0,X14,X10,X15] :
        ( ~ class_Orderings_Olinorder(X14)
        | c_List_Odistinct(X10,X11)
        | ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f35,axiom,
    ! [X10,X0,X11,X14,X15] :
      ( ~ class_Orderings_Olinorder(X14)
      | c_List_Odistinct(X10,X11)
      | ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X15,X0,X10,X11,X14),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__insort_1) ).

fof(f1330,plain,
    spl0_163,
    inference(avatar_split_clause,[],[f19,f1328]) ).

fof(f19,axiom,
    ! [X8,X9,X5] :
      ( ~ c_in(X8,c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X8,c_Message_Oparts(c_Set_Oinsert(X9,X5,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).

fof(f1326,plain,
    spl0_162,
    inference(avatar_split_clause,[],[f18,f1324]) ).

fof(f1324,plain,
    ( spl0_162
  <=> ! [X6,X2] :
        ( ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
        | c_Message_Oparts(X6) = c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f18,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | c_Message_Oparts(X6) = c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).

fof(f1247,plain,
    spl0_161,
    inference(avatar_split_clause,[],[f425,f1245]) ).

fof(f425,axiom,
    ! [X10,X11,X16,X45] :
      ( X16 = X45
      | c_List_Oappend(X16,X10,X11) != c_List_Oappend(X45,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_0) ).

fof(f1243,plain,
    spl0_160,
    inference(avatar_split_clause,[],[f424,f1241]) ).

fof(f424,axiom,
    ! [X10,X11,X16,X45] :
      ( X16 = X45
      | c_List_Oappend(X10,X16,X11) != c_List_Oappend(X10,X45,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_0) ).

fof(f1239,plain,
    spl0_159,
    inference(avatar_split_clause,[],[f409,f1237]) ).

fof(f1237,plain,
    ( spl0_159
  <=> ! [X38,X57,X23,X58,X25,X39] :
        ( X23 = X25
        | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f409,axiom,
    ! [X38,X58,X39,X57,X25,X23] :
      ( X23 = X25
      | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).

fof(f1235,plain,
    spl0_158,
    inference(avatar_split_clause,[],[f408,f1233]) ).

fof(f1233,plain,
    ( spl0_158
  <=> ! [X38,X57,X23,X58,X25,X39] :
        ( X39 = X58
        | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f408,axiom,
    ! [X38,X58,X39,X57,X25,X23] :
      ( X39 = X58
      | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).

fof(f1231,plain,
    spl0_157,
    inference(avatar_split_clause,[],[f407,f1229]) ).

fof(f1229,plain,
    ( spl0_157
  <=> ! [X38,X57,X23,X58,X25,X39] :
        ( X38 = X57
        | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f407,axiom,
    ! [X38,X58,X39,X57,X25,X23] :
      ( X38 = X57
      | c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OSays(X57,X58,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).

fof(f1227,plain,
    spl0_156,
    inference(avatar_split_clause,[],[f400,f1225]) ).

fof(f1225,plain,
    ( spl0_156
  <=> ! [X55,X54,X11,X56,X9] :
        ( X9 = X55
        | c_List_Olist_OCons(X9,X54,X11) != c_List_Olist_OCons(X55,X56,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f400,axiom,
    ! [X11,X56,X54,X9,X55] :
      ( X9 = X55
      | c_List_Olist_OCons(X9,X54,X11) != c_List_Olist_OCons(X55,X56,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f1223,plain,
    spl0_155,
    inference(avatar_split_clause,[],[f399,f1221]) ).

fof(f1221,plain,
    ( spl0_155
  <=> ! [X55,X54,X11,X56,X9] :
        ( X54 = X56
        | c_List_Olist_OCons(X9,X54,X11) != c_List_Olist_OCons(X55,X56,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f399,axiom,
    ! [X11,X56,X54,X9,X55] :
      ( X54 = X56
      | c_List_Olist_OCons(X9,X54,X11) != c_List_Olist_OCons(X55,X56,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).

fof(f1219,plain,
    spl0_154,
    inference(avatar_split_clause,[],[f388,f1217]) ).

fof(f1217,plain,
    ( spl0_154
  <=> ! [X2,X21,X3] : c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f388,axiom,
    ! [X2,X21,X3] : c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).

fof(f1215,plain,
    ( spl0_153
    | ~ spl0_68
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f901,f866,f760,f1213]) ).

fof(f1213,plain,
    ( spl0_153
  <=> ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oanalz(X1),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f901,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oanalz(X1),X0)) )
    | ~ spl0_68
    | ~ spl0_88 ),
    inference(resolution,[],[f867,f761]) ).

fof(f1211,plain,
    ( spl0_152
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1207,f1204,f1209]) ).

fof(f1204,plain,
    ( spl0_151
  <=> ! [X0,X11,X10] : c_List_Obutlast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1207,plain,
    ( ! [X10,X0,X11] : c_List_Obutlast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X10
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f1205,f385]) ).

fof(f1205,plain,
    ( ! [X10,X0,X11] : c_List_Obutlast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X10
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1206,plain,
    spl0_151,
    inference(avatar_split_clause,[],[f379,f1204]) ).

fof(f379,axiom,
    ! [X10,X0,X11] : c_List_Obutlast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__snoc_0) ).

fof(f1202,plain,
    ( spl0_150
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1198,f1195,f1200]) ).

fof(f1195,plain,
    ( spl0_149
  <=> ! [X0,X11,X10] : c_List_Olast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1198,plain,
    ( ! [X10,X0,X11] : c_List_Olast(c_List_Orotate1(c_List_Olist_OCons(X0,X10,X11),X11),X11) = X0
    | ~ spl0_149 ),
    inference(forward_demodulation,[],[f1196,f385]) ).

fof(f1196,plain,
    ( ! [X10,X0,X11] : c_List_Olast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X0
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f1197,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f378,f1195]) ).

fof(f378,axiom,
    ! [X10,X0,X11] : c_List_Olast(c_List_Oappend(X10,c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),X11) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__snoc_0) ).

fof(f1193,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f305,f1191]) ).

fof(f1191,plain,
    ( spl0_148
  <=> ! [X11,X0,X29,X1] :
        ( X0 = X1
        | ~ c_in(X0,c_List_Oset(c_List_Oreplicate(X29,X1,X11),X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f305,axiom,
    ! [X0,X29,X11,X1] :
      ( X0 = X1
      | ~ c_in(X0,c_List_Oset(c_List_Oreplicate(X29,X1,X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__replicateD_0) ).

fof(f1189,plain,
    spl0_147,
    inference(avatar_split_clause,[],[f278,f1187]) ).

fof(f1187,plain,
    ( spl0_147
  <=> ! [X47,X11,X0,X29,X1] :
        ( X29 = X47
        | c_List_Oreplicate(X47,X0,X11) != c_List_Oreplicate(X29,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f278,axiom,
    ! [X29,X0,X11,X47,X1] :
      ( X29 = X47
      | c_List_Oreplicate(X47,X0,X11) != c_List_Oreplicate(X29,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__eq__replicate_0) ).

fof(f1185,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f276,f1183]) ).

fof(f276,axiom,
    ! [X11,X43] :
      ( c_List_Olist_ONil(X11) = X43
      | c_in(c_List_Olast(X43,X11),c_List_Oset(X43,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__in__set_0) ).

fof(f1181,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f255,f1179]) ).

fof(f255,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_in(c_List_Ohd(X10,X11),c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__in__set_0) ).

fof(f1177,plain,
    ( spl0_144
    | ~ spl0_68
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f880,f796,f760,f1175]) ).

fof(f1175,plain,
    ( spl0_144
  <=> ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Osynth(X1),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f880,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Osynth(X1),X0)) )
    | ~ spl0_68
    | ~ spl0_71 ),
    inference(resolution,[],[f797,f761]) ).

fof(f1173,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f228,f1171]) ).

fof(f1171,plain,
    ( spl0_143
  <=> ! [X0,X11,X10] :
        ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11)
        | ~ c_in(X0,c_List_Oset(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f228,axiom,
    ! [X10,X0,X11] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11)
      | ~ c_in(X0,c_List_Oset(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_0) ).

fof(f1169,plain,
    spl0_142,
    inference(avatar_split_clause,[],[f185,f1167]) ).

fof(f185,axiom,
    ! [X0,X36,X11,X35] : c_in(X0,c_List_Oset(c_List_Oappend(X35,c_List_Olist_OCons(X0,X36,X11),X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__conv__decomp_1) ).

fof(f1165,plain,
    spl0_141,
    inference(avatar_split_clause,[],[f157,f1163]) ).

fof(f157,axiom,
    ! [X10,X11,X12] : c_List_Oappend(c_List_OtakeWhile(X12,X10,X11),c_List_OdropWhile(X12,X10,X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__dropWhile__id_0) ).

fof(f1161,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f104,f1159]) ).

fof(f1159,plain,
    ( spl0_140
  <=> ! [X4,X21,X11] :
        ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
        | c_lessequals(X21,X4,tc_fun(X11,tc_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f104,axiom,
    ! [X21,X11,X4] :
      ( ~ c_HOL_Oord__class_Oless(X21,X4,tc_fun(X11,tc_bool))
      | c_lessequals(X21,X4,tc_fun(X11,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_0) ).

fof(f1157,plain,
    spl0_139,
    inference(avatar_split_clause,[],[f59,f1155]) ).

fof(f1155,plain,
    ( spl0_139
  <=> ! [X18,X11,X0,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Olist_ONil(X11) != c_List_Olist__update(X10,X18,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f59,axiom,
    ! [X10,X0,X11,X18] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Olist_ONil(X11) != c_List_Olist__update(X10,X18,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__nonempty_0) ).

fof(f1153,plain,
    spl0_138,
    inference(avatar_split_clause,[],[f23,f1151]) ).

fof(f23,axiom,
    ! [X3,X8] :
      ( c_in(X8,c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).

fof(f1149,plain,
    spl0_137,
    inference(avatar_split_clause,[],[f9,f1147]) ).

fof(f9,axiom,
    ! [X2,X6,X7] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

fof(f1117,plain,
    spl0_136,
    inference(avatar_split_clause,[],[f452,f1115]) ).

fof(f452,plain,
    ! [X21,X3] : c_lessequals(c_Event_Oknows(X21,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X21,X3),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(definition_unfolding,[],[f280,f375]) ).

fof(f280,axiom,
    ! [X21,X3] : c_lessequals(c_Event_OinitState(X21),c_Event_Oknows(X21,X3),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).

fof(f1113,plain,
    spl0_135,
    inference(avatar_split_clause,[],[f429,f1111]) ).

fof(f429,axiom,
    ! [X21,X0,X11,X1] :
      ( ~ hBOOL(hAPP(X21,X0))
      | hBOOL(hAPP(c_Set_Oinsert(X1,X21,X11),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f1109,plain,
    spl0_134,
    inference(avatar_split_clause,[],[f415,f1107]) ).

fof(f415,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).

fof(f1105,plain,
    spl0_133,
    inference(avatar_split_clause,[],[f414,f1103]) ).

fof(f414,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Olist_ONil(X11) != c_List_Oappend(X10,X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).

fof(f1101,plain,
    spl0_132,
    inference(avatar_split_clause,[],[f285,f1099]) ).

fof(f1099,plain,
    ( spl0_132
  <=> ! [X29,X0,X11] : c_List_Oreplicate(X29,X0,X11) = c_List_Orev(c_List_Oreplicate(X29,X0,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f285,axiom,
    ! [X29,X0,X11] : c_List_Oreplicate(X29,X0,X11) = c_List_Orev(c_List_Oreplicate(X29,X0,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__replicate_0) ).

fof(f1097,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f261,f1095]) ).

fof(f1095,plain,
    ( spl0_131
  <=> ! [X12,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f261,axiom,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__takeWhile_0) ).

fof(f1093,plain,
    spl0_130,
    inference(avatar_split_clause,[],[f248,f1091]) ).

fof(f1091,plain,
    ( spl0_130
  <=> ! [X0,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_List_Olinorder__class_Osorted(X10,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f248,axiom,
    ! [X10,X0,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).

fof(f1089,plain,
    spl0_129,
    inference(avatar_split_clause,[],[f244,f1087]) ).

fof(f244,axiom,
    ! [X11,X9,X4,X33] :
      ( ~ c_in(X9,X4,X11)
      | c_in(X9,c_Set_Oinsert(X33,X4,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).

fof(f1085,plain,
    spl0_128,
    inference(avatar_split_clause,[],[f187,f1083]) ).

fof(f187,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_List_Olinorder__class_Osorted(X10,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_0) ).

fof(f1081,plain,
    spl0_127,
    inference(avatar_split_clause,[],[f186,f1079]) ).

fof(f1079,plain,
    ( spl0_127
  <=> ! [X16,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_List_Olinorder__class_Osorted(X16,X11)
        | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f186,axiom,
    ! [X10,X11,X16] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_List_Olinorder__class_Osorted(X16,X11)
      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_1) ).

fof(f1077,plain,
    spl0_126,
    inference(avatar_split_clause,[],[f136,f1075]) ).

fof(f1075,plain,
    ( spl0_126
  <=> ! [X9,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | c_List_Olinorder__class_Osorted(c_List_Oremove1(X9,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f136,axiom,
    ! [X10,X11,X9] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | c_List_Olinorder__class_Osorted(c_List_Oremove1(X9,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__remove1_0) ).

fof(f1073,plain,
    ( spl0_125
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1060,f1002,f1071]) ).

fof(f1071,plain,
    ( spl0_125
  <=> ! [X0,X1] :
        ( c_lessequals(X0,X0,X1)
        | ~ class_Orderings_Olinorder(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1002,plain,
    ( spl0_116
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_lessequals(X0,X1,X11)
        | c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1060,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,X0,X1)
        | ~ class_Orderings_Olinorder(X1) )
    | ~ spl0_116 ),
    inference(factoring,[],[f1003]) ).

fof(f1003,plain,
    ( ! [X0,X11,X1] :
        ( c_lessequals(X1,X0,X11)
        | c_lessequals(X0,X1,X11)
        | ~ class_Orderings_Olinorder(X11) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1069,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f133,f1067]) ).

fof(f1067,plain,
    ( spl0_124
  <=> ! [X12,X11,X10] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X10,X11)
        | c_List_Olinorder__class_Osorted(c_List_OdropWhile(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f133,axiom,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X10,X11)
      | c_List_Olinorder__class_Osorted(c_List_OdropWhile(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__dropWhile_0) ).

fof(f1051,plain,
    ( spl0_123
    | ~ spl0_91
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1043,f969,f887,f1049]) ).

fof(f887,plain,
    ( spl0_91
  <=> ! [X0] : c_in(c_Message_Oagent_OSpy,c_Event_Obad,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1043,plain,
    ( ! [X0] : c_Event_Obad = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,X0)
    | ~ spl0_91
    | ~ spl0_108 ),
    inference(resolution,[],[f970,f888]) ).

fof(f888,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Event_Obad,X0)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1034,plain,
    ( spl0_122
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f877,f792,f760,f1032]) ).

fof(f1032,plain,
    ( spl0_122
  <=> ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oparts(X1),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f877,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | hBOOL(hAPP(c_Message_Oparts(X1),X0)) )
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(resolution,[],[f793,f761]) ).

fof(f1024,plain,
    spl0_121,
    inference(avatar_split_clause,[],[f451,f1022]) ).

fof(f451,plain,
    ! [X2,X7,X4] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(definition_unfolding,[],[f8,f375]) ).

fof(f8,axiom,
    ! [X2,X7,X4] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).

fof(f1020,plain,
    ( spl0_120
    | ~ spl0_12
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f782,f708,f518,f1018]) ).

fof(f1018,plain,
    ( spl0_120
  <=> ! [X0,X1] : c_List_Oremdups(X0,X1) = c_List_Oremdups(c_List_Oremdups(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f518,plain,
    ( spl0_12
  <=> ! [X11,X10] : c_List_Odistinct(c_List_Oremdups(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f782,plain,
    ( ! [X0,X1] : c_List_Oremdups(X0,X1) = c_List_Oremdups(c_List_Oremdups(X0,X1),X1)
    | ~ spl0_12
    | ~ spl0_55 ),
    inference(resolution,[],[f709,f519]) ).

fof(f519,plain,
    ( ! [X10,X11] : c_List_Odistinct(c_List_Oremdups(X10,X11),X11)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1016,plain,
    spl0_119,
    inference(avatar_split_clause,[],[f405,f1014]) ).

fof(f405,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X16
      | c_List_Oappend(X10,X16,X11) != X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_0) ).

fof(f1012,plain,
    spl0_118,
    inference(avatar_split_clause,[],[f403,f1010]) ).

fof(f403,axiom,
    ! [X10,X11,X16] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Oappend(X10,X16,X11) != X16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).

fof(f1008,plain,
    spl0_117,
    inference(avatar_split_clause,[],[f348,f1006]) ).

fof(f348,axiom,
    ! [X0,X11] : c_List_Olist_ONil(X11) = c_List_Obutlast(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_0) ).

fof(f1004,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f337,f1002]) ).

fof(f337,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_lessequals(X0,X1,X11)
      | c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

fof(f1000,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f309,f998]) ).

fof(f309,axiom,
    ! [X10,X11,X16] :
      ( X10 = X16
      | c_List_Orev(X10,X11) != c_List_Orev(X16,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).

fof(f996,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f304,f994]) ).

fof(f994,plain,
    ( spl0_114
  <=> ! [X48,X40,X23,X25] :
        ( X40 = X48
        | c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_ONotes(X48,X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f304,axiom,
    ! [X40,X48,X25,X23] :
      ( X40 = X48
      | c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_ONotes(X48,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).

fof(f992,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f303,f990]) ).

fof(f990,plain,
    ( spl0_113
  <=> ! [X40,X25,X48,X23] :
        ( X23 = X25
        | c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_ONotes(X48,X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f303,axiom,
    ! [X40,X48,X25,X23] :
      ( X23 = X25
      | c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_ONotes(X48,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).

fof(f988,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f293,f986]) ).

fof(f986,plain,
    ( spl0_112
  <=> ! [X48,X40,X23,X25] :
        ( X40 = X48
        | c_Event_Oevent_OGets(X40,X25) != c_Event_Oevent_OGets(X48,X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f293,axiom,
    ! [X40,X48,X25,X23] :
      ( X40 = X48
      | c_Event_Oevent_OGets(X40,X25) != c_Event_Oevent_OGets(X48,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).

fof(f984,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f292,f982]) ).

fof(f982,plain,
    ( spl0_111
  <=> ! [X40,X25,X48,X23] :
        ( X23 = X25
        | c_Event_Oevent_OGets(X40,X25) != c_Event_Oevent_OGets(X48,X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f292,axiom,
    ! [X40,X48,X25,X23] :
      ( X23 = X25
      | c_Event_Oevent_OGets(X40,X25) != c_Event_Oevent_OGets(X48,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).

fof(f980,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f177,f978]) ).

fof(f978,plain,
    ( spl0_110
  <=> ! [X11,X10] :
        ( c_List_Olist_ONil(X11) = X10
        | c_List_Olist_ONil(X11) != c_List_Orotate1(X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f177,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Olist_ONil(X11) != c_List_Orotate1(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate1__is__Nil__conv_0) ).

fof(f975,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f174,f973]) ).

fof(f174,axiom,
    ! [X10,X11] :
      ( c_List_Olist_ONil(X11) = X10
      | c_List_Orev(X10,X11) != c_List_Olist_ONil(X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).

fof(f971,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f167,f969]) ).

fof(f167,axiom,
    ! [X21,X11,X9] :
      ( ~ c_in(X9,X21,X11)
      | c_Set_Oinsert(X9,X21,X11) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f967,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f164,f965]) ).

fof(f965,plain,
    ( spl0_107
  <=> ! [X2,X21,X3] : c_Event_Oused(X3) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f164,axiom,
    ! [X2,X21,X3] : c_Event_Oused(X3) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X21,X2),X3,tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Gets_0) ).

fof(f963,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f139,f961]) ).

fof(f961,plain,
    ( spl0_106
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | ~ c_HOL_Oord__class_Oless(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f139,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | ~ c_HOL_Oord__class_Oless(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).

fof(f959,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f138,f957]) ).

fof(f957,plain,
    ( spl0_105
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f138,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_HOL_Oord__class_Oless(X1,X0,X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).

fof(f955,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f137,f953]) ).

fof(f953,plain,
    ( spl0_104
  <=> ! [X9,X11,X33] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X33,X9,X11)
        | ~ c_HOL_Oord__class_Oless(X9,X33,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f137,axiom,
    ! [X11,X9,X33] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X33,X9,X11)
      | ~ c_HOL_Oord__class_Oless(X9,X33,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).

fof(f951,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f121,f949]) ).

fof(f949,plain,
    ( spl0_103
  <=> ! [X32,X11] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_List_Olinorder__class_Osorted(X32,X11)
        | c_List_Olinorder__class_Osorted(c_List_Oremdups(X32,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f121,axiom,
    ! [X11,X32] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_List_Olinorder__class_Osorted(X32,X11)
      | c_List_Olinorder__class_Osorted(c_List_Oremdups(X32,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__remdups_0) ).

fof(f947,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f107,f945]) ).

fof(f945,plain,
    ( spl0_102
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | c_lessequals(X0,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f107,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | c_lessequals(X0,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).

fof(f943,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f106,f941]) ).

fof(f941,plain,
    ( spl0_101
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | c_lessequals(X0,X1,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f106,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | c_lessequals(X0,X1,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).

fof(f939,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f81,f937]) ).

fof(f937,plain,
    ( spl0_100
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_HOL_Oord__class_Oless(X0,X1,X11)
        | c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f81,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_HOL_Oord__class_Oless(X0,X1,X11)
      | c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).

fof(f935,plain,
    ( spl0_99
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f790,f764,f660,f933]) ).

fof(f933,plain,
    ( spl0_99
  <=> ! [X0,X3,X2,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f790,plain,
    ( ! [X2,X3,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(resolution,[],[f765,f661]) ).

fof(f931,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f78,f929]) ).

fof(f929,plain,
    ( spl0_98
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | ~ c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f78,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | ~ c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).

fof(f927,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f73,f925]) ).

fof(f925,plain,
    ( spl0_97
  <=> ! [X0,X11,X1] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
        | ~ c_lessequals(X1,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f73,axiom,
    ! [X0,X11,X1] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X1,X11)
      | ~ c_lessequals(X1,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

fof(f923,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f70,f921]) ).

fof(f921,plain,
    ( spl0_96
  <=> ! [X24,X23,X25,X22] :
        ( X22 = X24
        | c_Message_Omsg_OCrypt(X22,X23) != c_Message_Omsg_OCrypt(X24,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f70,axiom,
    ! [X24,X22,X25,X23] :
      ( X22 = X24
      | c_Message_Omsg_OCrypt(X22,X23) != c_Message_Omsg_OCrypt(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).

fof(f919,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f69,f917]) ).

fof(f917,plain,
    ( spl0_95
  <=> ! [X24,X25,X22,X23] :
        ( X23 = X25
        | c_Message_Omsg_OCrypt(X22,X23) != c_Message_Omsg_OCrypt(X24,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f69,axiom,
    ! [X24,X22,X25,X23] :
      ( X23 = X25
      | c_Message_Omsg_OCrypt(X22,X23) != c_Message_Omsg_OCrypt(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).

fof(f915,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f53,f913]) ).

fof(f913,plain,
    ( spl0_94
  <=> ! [X0,X11] :
        ( c_List_Olist_ONil(X11) = X0
        | c_List_Olist_ONil(X11) != c_List_Oremdups(X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f53,axiom,
    ! [X0,X11] :
      ( c_List_Olist_ONil(X11) = X0
      | c_List_Olist_ONil(X11) != c_List_Oremdups(X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_0) ).

fof(f911,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f24,f909]) ).

fof(f24,axiom,
    ! [X3] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).

fof(f907,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f16,f905]) ).

fof(f16,axiom,
    ! [X8,X6] :
      ( ~ c_in(X8,c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X8,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).

fof(f889,plain,
    ( spl0_91
    | ~ spl0_69
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f864,f820,f764,f887]) ).

fof(f820,plain,
    ( spl0_77
  <=> hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f864,plain,
    ( ! [X0] : c_in(c_Message_Oagent_OSpy,c_Event_Obad,X0)
    | ~ spl0_69
    | ~ spl0_77 ),
    inference(resolution,[],[f822,f765]) ).

fof(f822,plain,
    ( hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f876,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f356,f874]) ).

fof(f356,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).

fof(f872,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f347,f870]) ).

fof(f870,plain,
    ( spl0_89
  <=> ! [X0,X11] : c_List_Olast(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f347,axiom,
    ! [X0,X11] : c_List_Olast(c_List_Olist_OCons(X0,c_List_Olist_ONil(X11),X11),X11) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Osimps_0) ).

fof(f868,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f313,f866]) ).

fof(f313,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,X6,tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).

fof(f863,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f306,f861]) ).

fof(f861,plain,
    ( spl0_87
  <=> ! [X11,X10] : c_List_Oset(X10,X11) = c_List_Oset(c_List_Orotate1(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f306,axiom,
    ! [X10,X11] : c_List_Oset(X10,X11) = c_List_Oset(c_List_Orotate1(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rotate1_0) ).

fof(f859,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f296,f857]) ).

fof(f857,plain,
    ( spl0_86
  <=> ! [X11,X10] : c_List_Oset(X10,X11) = c_List_Oset(c_List_Orev(X10,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f296,axiom,
    ! [X10,X11] : c_List_Oset(X10,X11) = c_List_Oset(c_List_Orev(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev_0) ).

fof(f855,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f242,f853]) ).

fof(f242,axiom,
    ! [X11,X9,X4] : c_lessequals(X4,c_Set_Oinsert(X9,X4,X11),tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

fof(f851,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f237,f849]) ).

fof(f237,axiom,
    ! [X3] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).

fof(f847,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f175,f845]) ).

fof(f175,axiom,
    ! [X11,X14,X15] : c_List_Olist_ONil(X11) = c_List_Oconcat__map(X15,c_List_Olist_ONil(X14),X14,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_concat__map_Osimps_I1_J_0) ).

fof(f843,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f135,f841]) ).

fof(f841,plain,
    ( spl0_82
  <=> ! [X11,X10] : c_List_Oset(c_List_Oremdups(X10,X11),X11) = c_List_Oset(X10,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f135,axiom,
    ! [X10,X11] : c_List_Oset(c_List_Oremdups(X10,X11),X11) = c_List_Oset(X10,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__remdups_0) ).

fof(f839,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f91,f837]) ).

fof(f837,plain,
    ( spl0_81
  <=> ! [X0,X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_Oremove1(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f91,axiom,
    ! [X10,X0,X11] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_Oremove1(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remove1_0) ).

fof(f835,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f89,f833]) ).

fof(f833,plain,
    ( spl0_80
  <=> ! [X12,X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_OdropWhile(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f89,axiom,
    ! [X10,X11,X12] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_OdropWhile(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__dropWhile_0) ).

fof(f831,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f65,f829]) ).

fof(f829,plain,
    ( spl0_79
  <=> ! [X12,X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_Ofilter(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f65,axiom,
    ! [X10,X11,X12] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_Ofilter(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__filter_0) ).

fof(f827,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f61,f825]) ).

fof(f61,axiom,
    ! [X10,X11,X16] :
      ( c_List_Odistinct(X10,X11)
      | ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_0) ).

fof(f823,plain,
    ( spl0_77
    | ~ spl0_10
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f788,f760,f509,f820]) ).

fof(f509,plain,
    ( spl0_10
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f788,plain,
    ( hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))
    | ~ spl0_10
    | ~ spl0_68 ),
    inference(resolution,[],[f761,f511]) ).

fof(f511,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f818,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f60,f816]) ).

fof(f60,axiom,
    ! [X10,X11,X16] :
      ( c_List_Odistinct(X16,X11)
      | ~ c_List_Odistinct(c_List_Oappend(X10,X16,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_1) ).

fof(f814,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f57,f812]) ).

fof(f812,plain,
    ( spl0_75
  <=> ! [X20,X11,X19] : c_List_Olist_ONil(X11) = c_List_Olist__update(c_List_Olist_ONil(X11),X19,X20,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f57,axiom,
    ! [X11,X19,X20] : c_List_Olist_ONil(X11) = c_List_Olist__update(c_List_Olist_ONil(X11),X19,X20,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update_Osimps_I1_J_0) ).

fof(f810,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f46,f808]) ).

fof(f808,plain,
    ( spl0_74
  <=> ! [X0,X11,X10] :
        ( c_List_Odistinct(X10,X11)
        | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f46,axiom,
    ! [X10,X0,X11] :
      ( c_List_Odistinct(X10,X11)
      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).

fof(f806,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f45,f804]) ).

fof(f804,plain,
    ( spl0_73
  <=> ! [X0,X11,X10] : c_List_Oremove1(X0,c_List_Olist_OCons(X0,X10,X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f45,axiom,
    ! [X10,X0,X11] : c_List_Oremove1(X0,c_List_Olist_OCons(X0,X10,X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_0) ).

fof(f802,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f36,f800]) ).

fof(f800,plain,
    ( spl0_72
  <=> ! [X12,X11,X10] :
        ( ~ c_List_Odistinct(X10,X11)
        | c_List_Odistinct(c_List_OtakeWhile(X12,X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f36,axiom,
    ! [X10,X11,X12] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_OtakeWhile(X12,X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__takeWhile_0) ).

fof(f798,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f25,f796]) ).

fof(f25,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,X6,tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).

fof(f794,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f13,f792]) ).

fof(f13,axiom,
    ! [X2,X6] :
      ( ~ c_in(X2,X6,tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

fof(f766,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f274,f764]) ).

fof(f274,axiom,
    ! [X46,X0,X11] :
      ( ~ hBOOL(hAPP(X46,X0))
      | c_in(X0,X46,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f762,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f273,f760]) ).

fof(f273,axiom,
    ! [X0,X46,X11] :
      ( ~ c_in(X0,X46,X11)
      | hBOOL(hAPP(X46,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f758,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f252,f756]) ).

fof(f252,axiom,
    ! [X10,X0,X11] : c_List_Ohd(c_List_Olist_OCons(X0,X10,X11),X11) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd_Osimps_0) ).

fof(f754,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f251,f752]) ).

fof(f752,plain,
    ( spl0_66
  <=> ! [X0,X11,X10] : c_List_Otl(c_List_Olist_OCons(X0,X10,X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f251,axiom,
    ! [X10,X0,X11] : c_List_Otl(c_List_Olist_OCons(X0,X10,X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl_Osimps_I2_J_0) ).

fof(f750,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f192,f748]) ).

fof(f748,plain,
    ( spl0_65
  <=> ! [X38,X40,X23,X25,X39] : c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_ONotes(X40,X25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f192,axiom,
    ! [X40,X38,X39,X25,X23] : c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_ONotes(X40,X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).

fof(f746,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f191,f744]) ).

fof(f744,plain,
    ( spl0_64
  <=> ! [X38,X40,X23,X25,X39] : c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OGets(X40,X25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f191,axiom,
    ! [X40,X38,X39,X25,X23] : c_Event_Oevent_OSays(X38,X39,X23) != c_Event_Oevent_OGets(X40,X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).

fof(f742,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f170,f740]) ).

fof(f170,axiom,
    ! [X11,X12] : c_List_Olist_ONil(X11) = c_List_OtakeWhile(X12,c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).

fof(f738,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f68,f736]) ).

fof(f736,plain,
    ( spl0_62
  <=> ! [X2,X7] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f68,axiom,
    ! [X2,X7] : ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).

fof(f734,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f67,f732]) ).

fof(f67,axiom,
    ! [X10,X11] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_Orotate1(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct1__rotate_1) ).

fof(f730,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f66,f728]) ).

fof(f728,plain,
    ( spl0_60
  <=> ! [X11,X10] :
        ( c_List_Odistinct(X10,X11)
        | ~ c_List_Odistinct(c_List_Orotate1(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f66,axiom,
    ! [X10,X11] :
      ( c_List_Odistinct(X10,X11)
      | ~ c_List_Odistinct(c_List_Orotate1(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct1__rotate_0) ).

fof(f726,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f58,f724]) ).

fof(f724,plain,
    ( spl0_59
  <=> ! [X0,X11] : c_List_Olist_ONil(X11) = c_List_Oremove1(X0,c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f58,axiom,
    ! [X0,X11] : c_List_Olist_ONil(X11) = c_List_Oremove1(X0,c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I1_J_0) ).

fof(f722,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f54,f720]) ).

fof(f54,axiom,
    ! [X11,X12] : c_List_Olist_ONil(X11) = c_List_Ofilter(X12,c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I1_J_0) ).

fof(f718,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f52,f716]) ).

fof(f716,plain,
    ( spl0_57
  <=> ! [X12,X11] : c_List_Olist_ONil(X11) = c_List_OdropWhile(X12,c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f52,axiom,
    ! [X11,X12] : c_List_Olist_ONil(X11) = c_List_OdropWhile(X12,c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I1_J_0) ).

fof(f714,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f51,f712]) ).

fof(f712,plain,
    ( spl0_56
  <=> ! [X11,X17] : c_List_Olist_ONil(X11) = c_List_Olist__inter(c_List_Olist_ONil(X11),X17,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f51,axiom,
    ! [X11,X17] : c_List_Olist_ONil(X11) = c_List_Olist__inter(c_List_Olist_ONil(X11),X17,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__inter_Osimps_I1_J_0) ).

fof(f710,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f31,f708]) ).

fof(f31,axiom,
    ! [X10,X11] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Oremdups(X10,X11) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups__id_0) ).

fof(f706,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f30,f704]) ).

fof(f704,plain,
    ( spl0_54
  <=> ! [X11,X10] :
        ( c_List_Odistinct(X10,X11)
        | c_List_Oremdups(X10,X11) != X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f30,axiom,
    ! [X10,X11] :
      ( c_List_Odistinct(X10,X11)
      | c_List_Oremdups(X10,X11) != X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__id__iff__distinct_0) ).

fof(f702,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f28,f700]) ).

fof(f700,plain,
    ( spl0_53
  <=> ! [X11,X10] :
        ( c_List_Odistinct(X10,X11)
        | ~ c_List_Odistinct(c_List_Orev(X10,X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f28,axiom,
    ! [X10,X11] :
      ( c_List_Odistinct(X10,X11)
      | ~ c_List_Odistinct(c_List_Orev(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rev_0) ).

fof(f698,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f27,f696]) ).

fof(f27,axiom,
    ! [X10,X11] :
      ( ~ c_List_Odistinct(X10,X11)
      | c_List_Odistinct(c_List_Orev(X10,X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rev_1) ).

fof(f694,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f21,f692]) ).

fof(f21,axiom,
    ! [X6] : c_lessequals(c_Message_Oanalz(X6),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).

fof(f690,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f1,f688]) ).

fof(f688,plain,
    ( spl0_50
  <=> ! [X0,X1] :
        ( X0 = X1
        | c_Public_OshrK(X0) != c_Public_OshrK(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | c_Public_OshrK(X0) != c_Public_OshrK(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_0) ).

fof(f678,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f450,f676]) ).

fof(f676,plain,
    ( spl0_49
  <=> ! [X11,X34,X2] :
        ( X2 = X34
        | ~ c_fequal(X2,X34,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f450,axiom,
    ! [X2,X11,X34] :
      ( X2 = X34
      | ~ c_fequal(X2,X34,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(f674,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f432,f672]) ).

fof(f432,axiom,
    ! [X0,X11,X35] : c_List_Olist_ONil(X11) != c_List_Olist_OCons(X0,X35,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).

fof(f670,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f422,f668]) ).

fof(f422,axiom,
    ! [X0,X11] : c_List_Oappend(c_List_Olist_ONil(X11),X0,X11) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

fof(f666,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f421,f664]) ).

fof(f421,axiom,
    ! [X10,X11] : c_List_Oappend(X10,c_List_Olist_ONil(X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_1) ).

fof(f662,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f410,f660]) ).

fof(f410,axiom,
    ! [X21,X0,X11] : hBOOL(hAPP(c_Set_Oinsert(X0,X21,X11),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f658,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f316,f656]) ).

fof(f656,plain,
    ( spl0_44
  <=> ! [X40,X25,X48,X23] : c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_OGets(X48,X23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f316,axiom,
    ! [X40,X48,X25,X23] : c_Event_Oevent_ONotes(X40,X25) != c_Event_Oevent_OGets(X48,X23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).

fof(f654,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f289,f652]) ).

fof(f289,axiom,
    ! [X6] : c_lessequals(X6,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).

fof(f650,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f283,f648]) ).

fof(f283,axiom,
    ! [X10,X11] : c_List_Orev(c_List_Orev(X10,X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).

fof(f646,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f239,f644]) ).

fof(f644,plain,
    ( spl0_41
  <=> ! [X21,X11,X0] : c_in(X0,c_Set_Oinsert(X0,X21,X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f239,axiom,
    ! [X21,X0,X11] : c_in(X0,c_Set_Oinsert(X0,X21,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).

fof(f642,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f178,f640]) ).

fof(f640,plain,
    ( spl0_40
  <=> ! [X11] : c_List_Olist_ONil(X11) = c_List_Orotate1(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f178,axiom,
    ! [X11] : c_List_Olist_ONil(X11) = c_List_Orotate1(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__simps_0) ).

fof(f638,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f173,f636]) ).

fof(f636,plain,
    ( spl0_39
  <=> ! [X11] : c_List_Olist_ONil(X11) = c_List_Otl(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f173,axiom,
    ! [X11] : c_List_Olist_ONil(X11) = c_List_Otl(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl_Osimps_I1_J_0) ).

fof(f634,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f172,f632]) ).

fof(f632,plain,
    ( spl0_38
  <=> ! [X16,X11] : c_List_Osplice(c_List_Olist_ONil(X11),X16,X11) = X16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f172,axiom,
    ! [X11,X16] : c_List_Osplice(c_List_Olist_ONil(X11),X16,X11) = X16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_splice_Osimps_I1_J_0) ).

fof(f630,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f171,f628]) ).

fof(f628,plain,
    ( spl0_37
  <=> ! [X11,X10] : c_List_Osplice(X10,c_List_Olist_ONil(X11),X11) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f171,axiom,
    ! [X10,X11] : c_List_Osplice(X10,c_List_Olist_ONil(X11),X11) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_splice__Nil2_0) ).

fof(f626,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f169,f624]) ).

fof(f624,plain,
    ( spl0_36
  <=> ! [X11] : c_List_Olist_ONil(X11) = c_List_Obutlast(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f169,axiom,
    ! [X11] : c_List_Olist_ONil(X11) = c_List_Obutlast(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I1_J_0) ).

fof(f622,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f168,f620]) ).

fof(f620,plain,
    ( spl0_35
  <=> ! [X11] : c_List_Olist_ONil(X11) = c_List_Orev(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f168,axiom,
    ! [X11] : c_List_Olist_ONil(X11) = c_List_Orev(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).

fof(f618,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f113,f616]) ).

fof(f113,axiom,
    ! [X6] : c_lessequals(X6,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).

fof(f614,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f50,f612]) ).

fof(f612,plain,
    ( spl0_33
  <=> ! [X11] : c_List_Olist_ONil(X11) = c_List_Oremdups(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f50,axiom,
    ! [X11] : c_List_Olist_ONil(X11) = c_List_Oremdups(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_1) ).

fof(f610,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f10,f608]) ).

fof(f10,axiom,
    ! [X6] : c_lessequals(X6,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).

fof(f599,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f441,f597]) ).

fof(f597,plain,
    ( spl0_31
  <=> ! [X60,X59] :
        ( ~ class_HOL_Oord(X60)
        | class_HOL_Oord(tc_fun(X59,X60)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f441,axiom,
    ! [X59,X60] :
      ( ~ class_HOL_Oord(X60)
      | class_HOL_Oord(tc_fun(X59,X60)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

fof(f595,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f440,f593]) ).

fof(f593,plain,
    ( spl0_30
  <=> ! [X60,X59] :
        ( ~ class_Orderings_Oorder(X60)
        | class_Orderings_Oorder(tc_fun(X59,X60)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f440,axiom,
    ! [X59,X60] :
      ( ~ class_Orderings_Oorder(X60)
      | class_Orderings_Oorder(tc_fun(X59,X60)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f591,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f439,f589]) ).

fof(f589,plain,
    ( spl0_29
  <=> ! [X60,X59] :
        ( ~ class_Orderings_Opreorder(X60)
        | class_Orderings_Opreorder(tc_fun(X59,X60)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f439,axiom,
    ! [X59,X60] :
      ( ~ class_Orderings_Opreorder(X60)
      | class_Orderings_Opreorder(tc_fun(X59,X60)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f587,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f434,f585]) ).

fof(f434,axiom,
    ! [X0,X49,X11] : c_List_Olist_OCons(X0,X49,X11) != X49,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f583,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f335,f581]) ).

fof(f581,plain,
    ( spl0_27
  <=> ! [X6] : c_Message_Oanalz(X6) = c_Message_Oanalz(c_Message_Oanalz(X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f335,axiom,
    ! [X6] : c_Message_Oanalz(X6) = c_Message_Oanalz(c_Message_Oanalz(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).

fof(f579,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f329,f577]) ).

fof(f577,plain,
    ( spl0_26
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Opreorder(X11)
        | c_lessequals(X0,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f329,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_lessequals(X0,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

fof(f575,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f328,f573]) ).

fof(f573,plain,
    ( spl0_25
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Oorder(X11)
        | c_lessequals(X0,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f328,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_lessequals(X0,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

fof(f571,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f325,f569]) ).

fof(f325,axiom,
    ! [X21,X11] : c_lessequals(X21,X21,tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f567,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f179,f565]) ).

fof(f565,plain,
    ( spl0_23
  <=> ! [X11] :
        ( ~ class_Orderings_Olinorder(X11)
        | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X11),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f179,axiom,
    ! [X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X11),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).

fof(f563,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f98,f561]) ).

fof(f561,plain,
    ( spl0_22
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Opreorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f98,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

fof(f559,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f97,f557]) ).

fof(f557,plain,
    ( spl0_21
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Olinorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f97,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

fof(f555,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f96,f553]) ).

fof(f553,plain,
    ( spl0_20
  <=> ! [X0,X11] :
        ( ~ class_Orderings_Oorder(X11)
        | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f96,axiom,
    ! [X0,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X0,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).

fof(f551,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f94,f549]) ).

fof(f94,axiom,
    ! [X0,X11] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_fun(X11,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).

fof(f547,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f29,f545]) ).

fof(f545,plain,
    ( spl0_18
  <=> ! [X6] : c_Message_Osynth(X6) = c_Message_Osynth(c_Message_Osynth(X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f29,axiom,
    ! [X6] : c_Message_Osynth(X6) = c_Message_Osynth(c_Message_Osynth(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).

fof(f543,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f14,f541]) ).

fof(f541,plain,
    ( spl0_17
  <=> ! [X6] : c_Message_Oparts(X6) = c_Message_Oparts(c_Message_Oanalz(X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f14,axiom,
    ! [X6] : c_Message_Oparts(X6) = c_Message_Oparts(c_Message_Oanalz(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).

fof(f539,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f12,f537]) ).

fof(f537,plain,
    ( spl0_16
  <=> ! [X6] : c_Message_Oparts(X6) = c_Message_Oparts(c_Message_Oparts(X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f12,axiom,
    ! [X6] : c_Message_Oparts(X6) = c_Message_Oparts(c_Message_Oparts(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).

fof(f535,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f11,f533]) ).

fof(f533,plain,
    ( spl0_15
  <=> ! [X6] : c_Message_Oparts(X6) = c_Message_Oanalz(c_Message_Oparts(X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f11,axiom,
    ! [X6] : c_Message_Oparts(X6) = c_Message_Oanalz(c_Message_Oparts(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).

fof(f531,plain,
    ( ~ spl0_14
    | spl0_13 ),
    inference(avatar_split_clause,[],[f526,f522,f528]) ).

fof(f522,plain,
    ( spl0_13
  <=> c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f526,plain,
    ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orotate1(c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))
    | spl0_13 ),
    inference(forward_demodulation,[],[f524,f385]) ).

fof(f524,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ~ spl0_13,
    inference(avatar_split_clause,[],[f438,f522]) ).

fof(f438,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f520,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f112,f518]) ).

fof(f112,axiom,
    ! [X10,X11] : c_List_Odistinct(c_List_Oremdups(X10,X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).

fof(f516,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f449,f514]) ).

fof(f514,plain,
    ( spl0_11
  <=> ! [X0,X11] : c_fequal(X0,X0,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f449,axiom,
    ! [X0,X11] : c_fequal(X0,X0,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f512,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f110,f509]) ).

fof(f110,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).

fof(f507,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f49,f505]) ).

fof(f505,plain,
    ( spl0_9
  <=> ! [X11] : c_List_Odistinct(c_List_Olist_ONil(X11),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f49,axiom,
    ! [X11] : c_List_Odistinct(c_List_Olist_ONil(X11),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).

fof(f503,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f338,f500]) ).

fof(f500,plain,
    ( spl0_8
  <=> c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f338,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).

fof(f498,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f448,f495]) ).

fof(f448,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f493,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f447,f490]) ).

fof(f490,plain,
    ( spl0_6
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f447,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f488,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f446,f485]) ).

fof(f485,plain,
    ( spl0_5
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f446,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f483,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f445,f480]) ).

fof(f480,plain,
    ( spl0_4
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f445,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f478,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f444,f475]) ).

fof(f475,plain,
    ( spl0_3
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f444,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f473,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f443,f470]) ).

fof(f443,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f468,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f442,f465]) ).

fof(f465,plain,
    ( spl0_1
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f442,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWV772-1 : TPTP v8.2.0. Released v4.1.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 08:12:52 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (31118)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35  % (31121)WARNING: value z3 for option sas not known
% 0.17/0.35  % (31120)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35  % (31121)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)
% 0.17/0.35  % (31124)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)
% 0.17/0.35  % (31119)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35  % (31122)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35  % (31125)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)
% 0.17/0.35  % (31123)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)
% 0.17/0.40  TRYING [1]
% 0.17/0.41  TRYING [2]
% 0.17/0.50  TRYING [1]
% 0.17/0.51  TRYING [2]
% 0.17/0.53  TRYING [3]
% 1.83/0.60  TRYING [1]
% 1.83/0.63  TRYING [3]
% 2.17/0.64  TRYING [2]
% 2.25/0.65  % (31123)First to succeed.
% 2.25/0.68  % (31123)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31118"
% 2.25/0.68  % (31123)Refutation found. Thanks to Tanya!
% 2.25/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.25/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.25/0.69  % (31123)------------------------------
% 2.25/0.69  % (31123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.25/0.69  % (31123)Termination reason: Refutation
% 2.25/0.69  
% 2.25/0.69  % (31123)Memory used [KB]: 5416
% 2.25/0.69  % (31123)Time elapsed: 0.326 s
% 2.25/0.69  % (31123)Instructions burned: 604 (million)
% 2.25/0.69  % (31118)Success in time 0.355 s
%------------------------------------------------------------------------------