TSTP Solution File: GRP624+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 06:09:42 EDT 2024
% Result : Theorem 1.42s 0.56s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 669
% Syntax : Number of formulae : 2272 ( 182 unt; 0 def)
% Number of atoms : 11292 ( 560 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 15957 (6937 ~;8061 |; 291 &)
% ( 586 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 601 ( 599 usr; 579 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 17 con; 0-6 aty)
% Number of variables : 3222 (3150 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4639,plain,
$false,
inference(avatar_sat_refutation,[],[f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f519,f524,f528,f532,f536,f540,f544,f548,f552,f566,f570,f574,f578,f588,f592,f596,f600,f604,f608,f612,f616,f620,f624,f629,f635,f639,f643,f648,f652,f656,f660,f664,f673,f683,f687,f691,f695,f699,f709,f716,f722,f726,f730,f747,f752,f762,f766,f770,f775,f779,f784,f790,f794,f798,f802,f816,f820,f836,f840,f848,f852,f856,f865,f882,f886,f894,f898,f902,f914,f918,f924,f932,f937,f941,f951,f959,f970,f980,f984,f996,f1000,f1007,f1024,f1030,f1035,f1040,f1049,f1056,f1060,f1064,f1068,f1072,f1081,f1085,f1089,f1093,f1097,f1101,f1105,f1109,f1117,f1130,f1136,f1143,f1152,f1160,f1172,f1178,f1183,f1189,f1194,f1199,f1205,f1210,f1216,f1221,f1227,f1262,f1266,f1272,f1276,f1280,f1284,f1289,f1305,f1314,f1319,f1328,f1337,f1346,f1355,f1362,f1366,f1370,f1374,f1378,f1382,f1399,f1403,f1407,f1411,f1430,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1479,f1495,f1502,f1506,f1512,f1518,f1527,f1531,f1537,f1541,f1546,f1550,f1554,f1558,f1563,f1573,f1577,f1581,f1590,f1594,f1599,f1605,f1609,f1615,f1619,f1624,f1634,f1639,f1643,f1658,f1662,f1666,f1679,f1683,f1696,f1700,f1704,f1711,f1717,f1723,f1730,f1736,f1741,f1745,f1765,f1769,f1774,f1782,f1786,f1806,f1812,f1816,f1820,f1824,f1828,f1864,f1871,f1875,f1879,f1887,f1893,f1899,f1908,f1914,f1920,f1933,f1937,f1941,f1946,f1957,f1962,f1966,f1974,f1983,f1992,f1997,f2003,f2009,f2013,f2017,f2022,f2028,f2033,f2037,f2041,f2048,f2052,f2064,f2068,f2072,f2093,f2100,f2111,f2122,f2123,f2128,f2132,f2136,f2140,f2152,f2157,f2161,f2165,f2169,f2173,f2177,f2190,f2211,f2225,f2229,f2233,f2243,f2247,f2269,f2273,f2280,f2284,f2288,f2292,f2296,f2300,f2304,f2320,f2324,f2328,f2332,f2336,f2356,f2366,f2370,f2376,f2380,f2384,f2385,f2398,f2405,f2418,f2423,f2427,f2431,f2435,f2439,f2459,f2464,f2470,f2474,f2478,f2482,f2500,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2536,f2540,f2544,f2548,f2552,f2581,f2609,f2616,f2620,f2624,f2631,f2666,f2672,f2678,f2683,f2687,f2719,f2738,f2757,f2764,f2773,f2780,f2785,f2789,f2793,f2797,f2801,f2805,f2824,f2829,f2833,f2847,f2851,f2856,f2862,f2874,f2893,f2901,f2905,f2909,f2913,f2917,f2944,f2948,f2949,f2967,f2975,f2981,f2989,f2992,f2997,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3026,f3046,f3052,f3059,f3063,f3067,f3071,f3075,f3079,f3083,f3087,f3088,f3095,f3096,f3116,f3124,f3128,f3132,f3136,f3140,f3144,f3145,f3151,f3155,f3159,f3163,f3167,f3171,f3175,f3179,f3183,f3184,f3189,f3192,f3212,f3221,f3228,f3232,f3240,f3244,f3261,f3265,f3269,f3273,f3285,f3290,f3310,f3314,f3322,f3326,f3334,f3340,f3344,f3348,f3361,f3371,f3379,f3388,f3396,f3400,f3404,f3408,f3416,f3431,f3444,f3455,f3468,f3477,f3491,f3497,f3512,f3535,f3552,f3568,f3590,f3594,f3625,f3656,f3664,f3668,f3703,f3708,f3740,f3744,f3764,f3768,f3773,f3778,f3798,f3821,f3825,f3829,f3833,f3845,f3850,f3855,f3864,f3868,f3872,f3876,f3925,f3930,f3953,f3972,f3977,f3982,f3987,f4000,f4008,f4021,f4028,f4035,f4040,f4044,f4048,f4061,f4074,f4078,f4082,f4087,f4097,f4101,f4139,f4148,f4156,f4160,f4164,f4168,f4172,f4176,f4185,f4195,f4199,f4203,f4207,f4211,f4238,f4245,f4249,f4264,f4279,f4283,f4287,f4291,f4295,f4299,f4303,f4307,f4311,f4315,f4319,f4323,f4376,f4396,f4400,f4404,f4414,f4415,f4434,f4448,f4464,f4480,f4484,f4489,f4493,f4497,f4501,f4557,f4562,f4566,f4570,f4601,f4629,f4633,f4637,f4638]) ).
fof(f4638,plain,
( spl26_535
| ~ spl26_139
| ~ spl26_263
| ~ spl26_474
| ~ spl26_562
| ~ spl26_564 ),
inference(avatar_split_clause,[],[f4474,f4462,f4432,f3532,f1989,f1127,f4182]) ).
fof(f4182,plain,
( spl26_535
<=> k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k5_relat_1(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_535])]) ).
fof(f1127,plain,
( spl26_139
<=> m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_139])]) ).
fof(f1989,plain,
( spl26_263
<=> m1_subset_1(sK1,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_263])]) ).
fof(f3532,plain,
( spl26_474
<=> k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k5_relat_1(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_474])]) ).
fof(f4432,plain,
( spl26_562
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_562])]) ).
fof(f4462,plain,
( spl26_564
<=> ! [X0] :
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_564])]) ).
fof(f4474,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k5_relat_1(sK2,sK1)
| ~ spl26_139
| ~ spl26_263
| ~ spl26_474
| ~ spl26_562
| ~ spl26_564 ),
inference(forward_demodulation,[],[f4473,f3534]) ).
fof(f3534,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k5_relat_1(sK2,sK1)
| ~ spl26_474 ),
inference(avatar_component_clause,[],[f3532]) ).
fof(f4473,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
| ~ spl26_139
| ~ spl26_263
| ~ spl26_562
| ~ spl26_564 ),
inference(forward_demodulation,[],[f4465,f4438]) ).
fof(f4438,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2)
| ~ spl26_263
| ~ spl26_562 ),
inference(resolution,[],[f4433,f1991]) ).
fof(f1991,plain,
( m1_subset_1(sK1,k1_autgroup(sK0))
| ~ spl26_263 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f4433,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2) )
| ~ spl26_562 ),
inference(avatar_component_clause,[],[f4432]) ).
fof(f4465,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2)
| ~ spl26_139
| ~ spl26_564 ),
inference(resolution,[],[f4463,f1129]) ).
fof(f1129,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ spl26_139 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f4463,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) )
| ~ spl26_564 ),
inference(avatar_component_clause,[],[f4462]) ).
fof(f4637,plain,
( spl26_578
| ~ spl26_293
| ~ spl26_311 ),
inference(avatar_split_clause,[],[f2347,f2318,f2167,f4635]) ).
fof(f4635,plain,
( spl26_578
<=> ! [X0,X3,X2,X1] :
( ~ m1_fraenkel(sK9(X0,X1),X2,X3)
| v1_xboole_0(sK9(X0,X1))
| v1_xboole_0(X3)
| m1_subset_1(sK12(X2,X3,sK9(X0,X1)),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_578])]) ).
fof(f2167,plain,
( spl26_293
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_293])]) ).
fof(f2318,plain,
( spl26_311
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| r2_hidden(sK12(X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_311])]) ).
fof(f2347,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK9(X0,X1),X2,X3)
| v1_xboole_0(sK9(X0,X1))
| v1_xboole_0(X3)
| m1_subset_1(sK12(X2,X3,sK9(X0,X1)),k2_zfmisc_1(X0,X1)) )
| ~ spl26_293
| ~ spl26_311 ),
inference(resolution,[],[f2319,f2168]) ).
fof(f2168,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_293 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2319,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X2,X0,X1),X1)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_311 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f4633,plain,
( spl26_577
| ~ spl26_292
| ~ spl26_311 ),
inference(avatar_split_clause,[],[f2345,f2318,f2163,f4631]) ).
fof(f4631,plain,
( spl26_577
<=> ! [X0,X3,X2,X1] :
( ~ m1_fraenkel(sK8(X0,X1),X2,X3)
| v1_xboole_0(sK8(X0,X1))
| v1_xboole_0(X3)
| m1_subset_1(sK12(X2,X3,sK8(X0,X1)),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_577])]) ).
fof(f2163,plain,
( spl26_292
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_292])]) ).
fof(f2345,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK8(X0,X1),X2,X3)
| v1_xboole_0(sK8(X0,X1))
| v1_xboole_0(X3)
| m1_subset_1(sK12(X2,X3,sK8(X0,X1)),k2_zfmisc_1(X0,X1)) )
| ~ spl26_292
| ~ spl26_311 ),
inference(resolution,[],[f2319,f2164]) ).
fof(f2164,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_292 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f4629,plain,
( spl26_576
| ~ spl26_177
| ~ spl26_311 ),
inference(avatar_split_clause,[],[f2342,f2318,f1401,f4627]) ).
fof(f4627,plain,
( spl26_576
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(sK3(X0),X1,X2)
| v1_xboole_0(sK3(X0))
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,sK3(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_576])]) ).
fof(f1401,plain,
( spl26_177
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_177])]) ).
fof(f2342,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(sK3(X0),X1,X2)
| v1_xboole_0(sK3(X0))
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,sK3(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl26_177
| ~ spl26_311 ),
inference(resolution,[],[f2319,f1402]) ).
fof(f1402,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl26_177 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f4601,plain,
( spl26_575
| ~ spl26_131
| ~ spl26_324 ),
inference(avatar_split_clause,[],[f2441,f2416,f1079,f4599]) ).
fof(f4599,plain,
( spl26_575
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| m1_subset_1(sK6(sK12(X1,X2,k1_zfmisc_1(X0))),X0)
| v1_xboole_0(X2)
| v1_xboole_0(sK12(X1,X2,k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_575])]) ).
fof(f1079,plain,
( spl26_131
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_131])]) ).
fof(f2416,plain,
( spl26_324
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_324])]) ).
fof(f2441,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| m1_subset_1(sK6(sK12(X1,X2,k1_zfmisc_1(X0))),X0)
| v1_xboole_0(X2)
| v1_xboole_0(sK12(X1,X2,k1_zfmisc_1(X0))) )
| ~ spl26_131
| ~ spl26_324 ),
inference(resolution,[],[f2417,f1080]) ).
fof(f1080,plain,
( ! [X0] :
( r2_hidden(sK6(X0),X0)
| v1_xboole_0(X0) )
| ~ spl26_131 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f2417,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1)))
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| v1_xboole_0(X0) )
| ~ spl26_324 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f4570,plain,
( spl26_574
| ~ spl26_68
| ~ spl26_329 ),
inference(avatar_split_clause,[],[f2452,f2437,f662,f4568]) ).
fof(f4568,plain,
( spl26_574
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_574])]) ).
fof(f662,plain,
( spl26_68
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_68])]) ).
fof(f2437,plain,
( spl26_329
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_329])]) ).
fof(f2452,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl26_68
| ~ spl26_329 ),
inference(resolution,[],[f2438,f663]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl26_68 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f2438,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_329 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f4566,plain,
( spl26_573
| ~ spl26_131
| ~ spl26_326 ),
inference(avatar_split_clause,[],[f2444,f2425,f1079,f4564]) ).
fof(f4564,plain,
( spl26_573
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| m1_subset_1(sK6(sK12(X2,X0,X1)),k2_zfmisc_1(X2,X0))
| v1_xboole_0(sK12(X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_573])]) ).
fof(f2425,plain,
( spl26_326
<=> ! [X0,X3,X2,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X3,sK12(X1,X2,X0))
| m1_subset_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_326])]) ).
fof(f2444,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| m1_subset_1(sK6(sK12(X2,X0,X1)),k2_zfmisc_1(X2,X0))
| v1_xboole_0(sK12(X2,X0,X1)) )
| ~ spl26_131
| ~ spl26_326 ),
inference(resolution,[],[f2426,f1080]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X1,X2,X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2)
| m1_subset_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl26_326 ),
inference(avatar_component_clause,[],[f2425]) ).
fof(f4562,plain,
( spl26_572
| ~ spl26_153
| ~ spl26_322
| ~ spl26_475
| ~ spl26_504
| ~ spl26_563 ),
inference(avatar_split_clause,[],[f4460,f4446,f3923,f3549,f2395,f1218,f4559]) ).
fof(f4559,plain,
( spl26_572
<=> k5_relat_1(sK1,sK2) = k1_binop_1(k2_autgroup(sK0),sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_572])]) ).
fof(f1218,plain,
( spl26_153
<=> m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_153])]) ).
fof(f2395,plain,
( spl26_322
<=> m1_subset_1(sK2,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_322])]) ).
fof(f3549,plain,
( spl26_475
<=> k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK2) = k5_relat_1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_475])]) ).
fof(f3923,plain,
( spl26_504
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k1_binop_1(k2_autgroup(sK0),X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_504])]) ).
fof(f4446,plain,
( spl26_563
<=> ! [X0] :
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_563])]) ).
fof(f4460,plain,
( k5_relat_1(sK1,sK2) = k1_binop_1(k2_autgroup(sK0),sK2,sK1)
| ~ spl26_153
| ~ spl26_322
| ~ spl26_475
| ~ spl26_504
| ~ spl26_563 ),
inference(forward_demodulation,[],[f4459,f3551]) ).
fof(f3551,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK2) = k5_relat_1(sK1,sK2)
| ~ spl26_475 ),
inference(avatar_component_clause,[],[f3549]) ).
fof(f4459,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK2) = k1_binop_1(k2_autgroup(sK0),sK2,sK1)
| ~ spl26_153
| ~ spl26_322
| ~ spl26_504
| ~ spl26_563 ),
inference(forward_demodulation,[],[f4450,f4425]) ).
fof(f4425,plain,
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK2,sK1) = k1_binop_1(k2_autgroup(sK0),sK2,sK1)
| ~ spl26_322
| ~ spl26_504 ),
inference(resolution,[],[f3924,f2397]) ).
fof(f2397,plain,
( m1_subset_1(sK2,k1_autgroup(sK0))
| ~ spl26_322 ),
inference(avatar_component_clause,[],[f2395]) ).
fof(f3924,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k1_binop_1(k2_autgroup(sK0),X0,sK1) )
| ~ spl26_504 ),
inference(avatar_component_clause,[],[f3923]) ).
fof(f4450,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK2) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK2,sK1)
| ~ spl26_153
| ~ spl26_563 ),
inference(resolution,[],[f4447,f1220]) ).
fof(f1220,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ spl26_153 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f4447,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,X0) )
| ~ spl26_563 ),
inference(avatar_component_clause,[],[f4446]) ).
fof(f4557,plain,
( spl26_571
| ~ spl26_160
| ~ spl26_311 ),
inference(avatar_split_clause,[],[f2343,f2318,f1282,f4555]) ).
fof(f4555,plain,
( spl26_571
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(sK6(k1_zfmisc_1(X0)),X1,X2)
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,sK6(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_571])]) ).
fof(f1282,plain,
( spl26_160
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_160])]) ).
fof(f2343,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(sK6(k1_zfmisc_1(X0)),X1,X2)
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,sK6(k1_zfmisc_1(X0))),X0) )
| ~ spl26_160
| ~ spl26_311 ),
inference(resolution,[],[f2319,f1283]) ).
fof(f1283,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl26_160 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f4501,plain,
( spl26_570
| ~ spl26_137
| ~ spl26_348 ),
inference(avatar_split_clause,[],[f2604,f2550,f1103,f4499]) ).
fof(f4499,plain,
( spl26_570
<=> ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_570])]) ).
fof(f1103,plain,
( spl26_137
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_137])]) ).
fof(f2550,plain,
( spl26_348
<=> ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_348])]) ).
fof(f2604,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(X1) )
| ~ spl26_137
| ~ spl26_348 ),
inference(resolution,[],[f2551,f1104]) ).
fof(f1104,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl26_137 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f2551,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_348 ),
inference(avatar_component_clause,[],[f2550]) ).
fof(f4497,plain,
( spl26_569
| ~ spl26_137
| ~ spl26_347 ),
inference(avatar_split_clause,[],[f2600,f2546,f1103,f4495]) ).
fof(f4495,plain,
( spl26_569
<=> ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_569])]) ).
fof(f2546,plain,
( spl26_347
<=> ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_347])]) ).
fof(f2600,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(X1) )
| ~ spl26_137
| ~ spl26_347 ),
inference(resolution,[],[f2547,f1104]) ).
fof(f2547,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_347 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f4493,plain,
( spl26_568
| ~ spl26_39
| ~ spl26_334 ),
inference(avatar_split_clause,[],[f2496,f2476,f526,f4491]) ).
fof(f4491,plain,
( spl26_568
<=> ! [X0] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_funct_1(k2_autgroup(X0))
| l1_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_568])]) ).
fof(f526,plain,
( spl26_39
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f2476,plain,
( spl26_334
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_334])]) ).
fof(f2496,plain,
( ! [X0] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_funct_1(k2_autgroup(X0))
| l1_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0))) )
| ~ spl26_39
| ~ spl26_334 ),
inference(resolution,[],[f2477,f527]) ).
fof(f527,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl26_39 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f2477,plain,
( ! [X0] :
( l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_334 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f4489,plain,
( spl26_567
| ~ spl26_139
| ~ spl26_263
| ~ spl26_473
| ~ spl26_504
| ~ spl26_563 ),
inference(avatar_split_clause,[],[f4458,f4446,f3923,f3509,f1989,f1127,f4486]) ).
fof(f4486,plain,
( spl26_567
<=> k5_relat_1(sK1,sK1) = k1_binop_1(k2_autgroup(sK0),sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_567])]) ).
fof(f3509,plain,
( spl26_473
<=> k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK1) = k5_relat_1(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_473])]) ).
fof(f4458,plain,
( k5_relat_1(sK1,sK1) = k1_binop_1(k2_autgroup(sK0),sK1,sK1)
| ~ spl26_139
| ~ spl26_263
| ~ spl26_473
| ~ spl26_504
| ~ spl26_563 ),
inference(forward_demodulation,[],[f4457,f3511]) ).
fof(f3511,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK1) = k5_relat_1(sK1,sK1)
| ~ spl26_473 ),
inference(avatar_component_clause,[],[f3509]) ).
fof(f4457,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK1) = k1_binop_1(k2_autgroup(sK0),sK1,sK1)
| ~ spl26_139
| ~ spl26_263
| ~ spl26_504
| ~ spl26_563 ),
inference(forward_demodulation,[],[f4449,f4424]) ).
fof(f4424,plain,
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK1) = k1_binop_1(k2_autgroup(sK0),sK1,sK1)
| ~ spl26_263
| ~ spl26_504 ),
inference(resolution,[],[f3924,f1991]) ).
fof(f4449,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK1) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK1)
| ~ spl26_139
| ~ spl26_563 ),
inference(resolution,[],[f4447,f1129]) ).
fof(f4484,plain,
( spl26_566
| ~ spl26_179
| ~ spl26_299 ),
inference(avatar_split_clause,[],[f2255,f2231,f1409,f4482]) ).
fof(f4482,plain,
( spl26_566
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK12(X1,X2,sK7(X3,X0)),X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(sK7(X3,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_566])]) ).
fof(f1409,plain,
( spl26_179
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_179])]) ).
fof(f2231,plain,
( spl26_299
<=> ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK7(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_299])]) ).
fof(f2255,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK12(X1,X2,sK7(X3,X0)),X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(sK7(X3,X0),X1,X2) )
| ~ spl26_179
| ~ spl26_299 ),
inference(resolution,[],[f2232,f1410]) ).
fof(f1410,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(X1,X2,X0),X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl26_179 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f2232,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| m2_relset_1(X0,X1,X2) )
| ~ spl26_299 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f4480,plain,
( spl26_565
| ~ spl26_179
| ~ spl26_297 ),
inference(avatar_split_clause,[],[f2251,f2223,f1409,f4478]) ).
fof(f4478,plain,
( spl26_565
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK12(X1,X2,sK7(X3,X0)),X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(sK7(X3,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_565])]) ).
fof(f2223,plain,
( spl26_297
<=> ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK7(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_297])]) ).
fof(f2251,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK12(X1,X2,sK7(X3,X0)),X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(sK7(X3,X0),X1,X2) )
| ~ spl26_179
| ~ spl26_297 ),
inference(resolution,[],[f2224,f1410]) ).
fof(f2224,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| v1_funct_2(X0,X1,X2) )
| ~ spl26_297 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f4464,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_503
| spl26_564
| ~ spl26_153
| ~ spl26_396 ),
inference(avatar_split_clause,[],[f2956,f2946,f1218,f4462,f3919,f357,f352,f347,f342,f337]) ).
fof(f337,plain,
( spl26_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f342,plain,
( spl26_2
<=> v1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f347,plain,
( spl26_3
<=> v3_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f352,plain,
( spl26_4
<=> v4_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f357,plain,
( spl26_5
<=> l1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f3919,plain,
( spl26_503
<=> v1_funct_1(k2_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_503])]) ).
fof(f2946,plain,
( spl26_396
<=> ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X0)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_396])]) ).
fof(f2956,plain,
( ! [X0] :
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_funct_1(k2_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl26_153
| ~ spl26_396 ),
inference(resolution,[],[f2947,f1220]) ).
fof(f2947,plain,
( ! [X2,X0,X1] :
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X0)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_396 ),
inference(avatar_component_clause,[],[f2946]) ).
fof(f4448,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_503
| spl26_563
| ~ spl26_139
| ~ spl26_396 ),
inference(avatar_split_clause,[],[f2955,f2946,f1127,f4446,f3919,f357,f352,f347,f342,f337]) ).
fof(f2955,plain,
( ! [X0] :
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_funct_1(k2_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl26_139
| ~ spl26_396 ),
inference(resolution,[],[f2947,f1129]) ).
fof(f4434,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| spl26_331
| ~ spl26_503
| spl26_562
| ~ spl26_322
| ~ spl26_387 ),
inference(avatar_split_clause,[],[f2865,f2860,f2395,f4432,f3919,f2461,f357,f352,f347,f342,f337]) ).
fof(f2461,plain,
( spl26_331
<=> v1_xboole_0(k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_331])]) ).
fof(f2860,plain,
( spl26_387
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k1_binop_1(k2_autgroup(X1),X0,X2)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_387])]) ).
fof(f2865,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ v1_funct_1(k2_autgroup(sK0))
| v1_xboole_0(k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl26_322
| ~ spl26_387 ),
inference(resolution,[],[f2861,f2397]) ).
fof(f2861,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k1_binop_1(k2_autgroup(X1),X0,X2)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_387 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f4415,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_85
| spl26_503 ),
inference(avatar_split_clause,[],[f3926,f3919,f773,f357,f352,f347,f342,f337]) ).
fof(f773,plain,
( spl26_85
<=> ! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_85])]) ).
fof(f3926,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl26_85
| spl26_503 ),
inference(resolution,[],[f3921,f774]) ).
fof(f774,plain,
( ! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_85 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f3921,plain,
( ~ v1_funct_1(k2_autgroup(sK0))
| spl26_503 ),
inference(avatar_component_clause,[],[f3919]) ).
fof(f4414,plain,
( spl26_561
| ~ spl26_189
| ~ spl26_291 ),
inference(avatar_split_clause,[],[f2187,f2159,f1500,f4412]) ).
fof(f4412,plain,
( spl26_561
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_561])]) ).
fof(f1500,plain,
( spl26_189
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_189])]) ).
fof(f2159,plain,
( spl26_291
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_291])]) ).
fof(f2187,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl26_189
| ~ spl26_291 ),
inference(resolution,[],[f2160,f1501]) ).
fof(f1501,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl26_189 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f2160,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl26_291 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f4404,plain,
( spl26_560
| ~ spl26_307
| ~ spl26_352 ),
inference(avatar_split_clause,[],[f2635,f2618,f2290,f4402]) ).
fof(f4402,plain,
( spl26_560
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK12(X1,X0,X2))
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_560])]) ).
fof(f2290,plain,
( spl26_307
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK12(X1,X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_307])]) ).
fof(f2618,plain,
( spl26_352
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_352])]) ).
fof(f2635,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK12(X1,X0,X2))
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X1) )
| ~ spl26_307
| ~ spl26_352 ),
inference(duplicate_literal_removal,[],[f2634]) ).
fof(f2634,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK12(X1,X0,X2))
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_fraenkel(X2,X1,X0) )
| ~ spl26_307
| ~ spl26_352 ),
inference(resolution,[],[f2619,f2291]) ).
fof(f2291,plain,
( ! [X2,X0,X1] :
( m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl26_307 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2619,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X1) )
| ~ spl26_352 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f4400,plain,
( spl26_559
| ~ spl26_307
| ~ spl26_351 ),
inference(avatar_split_clause,[],[f2633,f2614,f2290,f4398]) ).
fof(f4398,plain,
( spl26_559
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_partfun1(sK12(X1,X0,X2),X1,X0)
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_559])]) ).
fof(f2614,plain,
( spl26_351
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK12(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_351])]) ).
fof(f2633,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_partfun1(sK12(X1,X0,X2),X1,X0)
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0) )
| ~ spl26_307
| ~ spl26_351 ),
inference(duplicate_literal_removal,[],[f2632]) ).
fof(f2632,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_partfun1(sK12(X1,X0,X2),X1,X0)
| ~ v1_funct_1(sK12(X1,X0,X2))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X0)
| ~ m1_fraenkel(X2,X1,X0) )
| ~ spl26_307
| ~ spl26_351 ),
inference(resolution,[],[f2615,f2291]) ).
fof(f2615,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK12(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl26_351 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f4396,plain,
( spl26_558
| ~ spl26_130
| ~ spl26_329 ),
inference(avatar_split_clause,[],[f2451,f2437,f1070,f4394]) ).
fof(f4394,plain,
( spl26_558
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_558])]) ).
fof(f1070,plain,
( spl26_130
<=> ! [X0] :
( sK16 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_130])]) ).
fof(f2451,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = sK16 )
| ~ spl26_130
| ~ spl26_329 ),
inference(resolution,[],[f2438,f1071]) ).
fof(f1071,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK16 = X0 )
| ~ spl26_130 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f4376,plain,
( spl26_557
| ~ spl26_50
| ~ spl26_469 ),
inference(avatar_split_clause,[],[f3470,f3466,f586,f4374]) ).
fof(f4374,plain,
( spl26_557
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_557])]) ).
fof(f586,plain,
( spl26_50
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_50])]) ).
fof(f3466,plain,
( spl26_469
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_469])]) ).
fof(f3470,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),X0) )
| ~ spl26_50
| ~ spl26_469 ),
inference(resolution,[],[f3467,f587]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f3467,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ r2_hidden(X0,sK2) )
| ~ spl26_469 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f4323,plain,
( spl26_556
| ~ spl26_128
| ~ spl26_336 ),
inference(avatar_split_clause,[],[f2504,f2498,f1062,f4321]) ).
fof(f4321,plain,
( spl26_556
<=> ! [X2,X0,X1] :
( k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_556])]) ).
fof(f1062,plain,
( spl26_128
<=> ! [X0] :
( v1_relat_1(sK6(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_128])]) ).
fof(f2498,plain,
( spl26_336
<=> ! [X2,X0,X1] :
( ~ v1_fraenkel(X0)
| k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_336])]) ).
fof(f2504,plain,
( ! [X2,X0,X1] :
( k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_fraenkel(X0) )
| ~ spl26_128
| ~ spl26_336 ),
inference(duplicate_literal_removal,[],[f2501]) ).
fof(f2501,plain,
( ! [X2,X0,X1] :
( k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_fraenkel(X0)
| ~ v1_fraenkel(X0) )
| ~ spl26_128
| ~ spl26_336 ),
inference(resolution,[],[f2499,f1063]) ).
fof(f1063,plain,
( ! [X0] :
( v1_relat_1(sK6(X0))
| ~ v1_fraenkel(X0) )
| ~ spl26_128 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f2499,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(sK6(X0))
| k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_fraenkel(X0) )
| ~ spl26_336 ),
inference(avatar_component_clause,[],[f2498]) ).
fof(f4319,plain,
( spl26_555
| ~ spl26_41
| ~ spl26_333 ),
inference(avatar_split_clause,[],[f2492,f2472,f534,f4317]) ).
fof(f4317,plain,
( spl26_555
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(sK6(k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_555])]) ).
fof(f534,plain,
( spl26_41
<=> ! [X0] : m1_subset_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f2472,plain,
( spl26_333
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_333])]) ).
fof(f2492,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(sK6(k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_41
| ~ spl26_333 ),
inference(resolution,[],[f2473,f535]) ).
fof(f535,plain,
( ! [X0] : m1_subset_1(sK6(X0),X0)
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f2473,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_333 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f4315,plain,
( spl26_554
| ~ spl26_50
| ~ spl26_468 ),
inference(avatar_split_clause,[],[f3461,f3442,f586,f4313]) ).
fof(f4313,plain,
( spl26_554
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_554])]) ).
fof(f3442,plain,
( spl26_468
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_468])]) ).
fof(f3461,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),X0) )
| ~ spl26_50
| ~ spl26_468 ),
inference(resolution,[],[f3443,f587]) ).
fof(f3443,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ r2_hidden(X0,sK1) )
| ~ spl26_468 ),
inference(avatar_component_clause,[],[f3442]) ).
fof(f4311,plain,
( spl26_553
| ~ spl26_41
| ~ spl26_332 ),
inference(avatar_split_clause,[],[f2486,f2468,f534,f4309]) ).
fof(f4309,plain,
( spl26_553
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(sK6(k4_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_553])]) ).
fof(f2468,plain,
( spl26_332
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_332])]) ).
fof(f2486,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(sK6(k4_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_41
| ~ spl26_332 ),
inference(resolution,[],[f2469,f535]) ).
fof(f2469,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_332 ),
inference(avatar_component_clause,[],[f2468]) ).
fof(f4307,plain,
( spl26_552
| ~ spl26_40
| ~ spl26_329 ),
inference(avatar_split_clause,[],[f2454,f2437,f530,f4305]) ).
fof(f4305,plain,
( spl26_552
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| v1_funct_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_552])]) ).
fof(f530,plain,
( spl26_40
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).
fof(f2454,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| v1_funct_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ spl26_40
| ~ spl26_329 ),
inference(resolution,[],[f2438,f531]) ).
fof(f531,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl26_40 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f4303,plain,
( spl26_551
| ~ spl26_66
| ~ spl26_328 ),
inference(avatar_split_clause,[],[f2448,f2433,f654,f4301]) ).
fof(f4301,plain,
( spl26_551
<=> ! [X0,X3,X2,X1] : k1_binop_1(sK11(X2,X3),X0,X1) = k1_funct_1(sK11(X2,X3),k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_551])]) ).
fof(f654,plain,
( spl26_66
<=> ! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_66])]) ).
fof(f2433,plain,
( spl26_328
<=> ! [X0,X3,X2,X1] : k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_328])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK11(X2,X3),X0,X1) = k1_funct_1(sK11(X2,X3),k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_328 ),
inference(superposition,[],[f2434,f655]) ).
fof(f655,plain,
( ! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0)
| ~ spl26_66 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f2434,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ spl26_328 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f4299,plain,
( spl26_550
| ~ spl26_66
| ~ spl26_327 ),
inference(avatar_split_clause,[],[f2446,f2429,f654,f4297]) ).
fof(f4297,plain,
( spl26_550
<=> ! [X0,X3,X2,X1] : k1_binop_1(sK10(X2,X3),X0,X1) = k1_funct_1(sK10(X2,X3),k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_550])]) ).
fof(f2429,plain,
( spl26_327
<=> ! [X0,X3,X2,X1] : k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_327])]) ).
fof(f2446,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK10(X2,X3),X0,X1) = k1_funct_1(sK10(X2,X3),k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_327 ),
inference(superposition,[],[f2430,f655]) ).
fof(f2430,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ spl26_327 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f4295,plain,
( spl26_549
| ~ spl26_61
| ~ spl26_319 ),
inference(avatar_split_clause,[],[f2408,f2374,f633,f4293]) ).
fof(f4293,plain,
( spl26_549
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_549])]) ).
fof(f633,plain,
( spl26_61
<=> ! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_61])]) ).
fof(f2374,plain,
( spl26_319
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_319])]) ).
fof(f2408,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) )
| ~ spl26_61
| ~ spl26_319 ),
inference(resolution,[],[f2375,f634]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_relat_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl26_61 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f2375,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1) )
| ~ spl26_319 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f4291,plain,
( spl26_548
| ~ spl26_62
| ~ spl26_319 ),
inference(avatar_split_clause,[],[f2407,f2374,f637,f4289]) ).
fof(f4289,plain,
( spl26_548
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_548])]) ).
fof(f637,plain,
( spl26_62
<=> ! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_62])]) ).
fof(f2407,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) )
| ~ spl26_62
| ~ spl26_319 ),
inference(resolution,[],[f2375,f638]) ).
fof(f638,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl26_62 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4287,plain,
( spl26_547
| ~ spl26_290
| ~ spl26_299 ),
inference(avatar_split_clause,[],[f2254,f2231,f2155,f4285]) ).
fof(f4285,plain,
( spl26_547
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK6(sK6(k1_zfmisc_1(sK7(X1,X0)))),X1,X0)
| v1_xboole_0(sK6(k1_zfmisc_1(sK7(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_547])]) ).
fof(f2155,plain,
( spl26_290
<=> ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_290])]) ).
fof(f2254,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK6(sK6(k1_zfmisc_1(sK7(X1,X0)))),X1,X0)
| v1_xboole_0(sK6(k1_zfmisc_1(sK7(X1,X0)))) )
| ~ spl26_290
| ~ spl26_299 ),
inference(resolution,[],[f2232,f2156]) ).
fof(f2156,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl26_290 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f4283,plain,
( spl26_546
| ~ spl26_290
| ~ spl26_297 ),
inference(avatar_split_clause,[],[f2250,f2223,f2155,f4281]) ).
fof(f4281,plain,
( spl26_546
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK6(sK6(k1_zfmisc_1(sK7(X1,X0)))),X1,X0)
| v1_xboole_0(sK6(k1_zfmisc_1(sK7(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_546])]) ).
fof(f2250,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK6(sK6(k1_zfmisc_1(sK7(X1,X0)))),X1,X0)
| v1_xboole_0(sK6(k1_zfmisc_1(sK7(X1,X0)))) )
| ~ spl26_290
| ~ spl26_297 ),
inference(resolution,[],[f2224,f2156]) ).
fof(f4279,plain,
( spl26_545
| ~ spl26_195
| ~ spl26_271 ),
inference(avatar_split_clause,[],[f2044,f2031,f1535,f4277]) ).
fof(f4277,plain,
( spl26_545
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_545])]) ).
fof(f1535,plain,
( spl26_195
<=> ! [X2,X0,X1] :
( k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_195])]) ).
fof(f2031,plain,
( spl26_271
<=> ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_271])]) ).
fof(f2044,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2))) )
| ~ spl26_195
| ~ spl26_271 ),
inference(duplicate_literal_removal,[],[f2043]) ).
fof(f2043,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ l1_group_1(X0) )
| ~ spl26_195
| ~ spl26_271 ),
inference(resolution,[],[f2032,f1536]) ).
fof(f1536,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(u1_group_1(X0))
| k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ l1_group_1(X0) )
| ~ spl26_195 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f2032,plain,
( ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_271 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f4264,plain,
( spl26_544
| ~ spl26_73
| ~ spl26_465 ),
inference(avatar_split_clause,[],[f3412,f3406,f693,f4262]) ).
fof(f4262,plain,
( spl26_544
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_544])]) ).
fof(f693,plain,
( spl26_73
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_73])]) ).
fof(f3406,plain,
( spl26_465
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_465])]) ).
fof(f3412,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl26_73
| ~ spl26_465 ),
inference(resolution,[],[f3407,f694]) ).
fof(f694,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl26_73 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f3407,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) )
| ~ spl26_465 ),
inference(avatar_component_clause,[],[f3406]) ).
fof(f4249,plain,
( spl26_543
| ~ spl26_109
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2113,f2109,f935,f4247]) ).
fof(f4247,plain,
( spl26_543
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK2) = k5_relat_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK2)
| ~ m1_relset_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),X0,u1_struct_0(sK0))
| ~ m1_relset_1(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_543])]) ).
fof(f935,plain,
( spl26_109
<=> ! [X4,X0,X3,X2,X1] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_109])]) ).
fof(f2109,plain,
( spl26_284
<=> ! [X0,X1] :
( k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_284])]) ).
fof(f2113,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK2) = k5_relat_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK2)
| ~ m1_relset_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),X0,u1_struct_0(sK0))
| ~ m1_relset_1(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_109
| ~ spl26_284 ),
inference(resolution,[],[f2110,f936]) ).
fof(f936,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_109 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f2110,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK2) = k5_relat_1(X1,sK2)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0)) )
| ~ spl26_284 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f4245,plain,
( spl26_542
| ~ spl26_109
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2102,f2098,f935,f4243]) ).
fof(f4243,plain,
( spl26_542
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK1) = k5_relat_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK1)
| ~ m1_relset_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),X0,u1_struct_0(sK0))
| ~ m1_relset_1(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_542])]) ).
fof(f2098,plain,
( spl26_283
<=> ! [X0,X1] :
( k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1) = k5_relat_1(X1,sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_283])]) ).
fof(f2102,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK1) = k5_relat_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),sK1)
| ~ m1_relset_1(k7_funct_2(X0,X1,u1_struct_0(sK0),X2,X3),X0,u1_struct_0(sK0))
| ~ m1_relset_1(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X3,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_109
| ~ spl26_283 ),
inference(resolution,[],[f2099,f936]) ).
fof(f2099,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1) = k5_relat_1(X1,sK1)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0)) )
| ~ spl26_283 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f4238,plain,
( spl26_541
| ~ spl26_70
| ~ spl26_306 ),
inference(avatar_split_clause,[],[f2307,f2286,f681,f4236]) ).
fof(f4236,plain,
( spl26_541
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK6(sK3(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_541])]) ).
fof(f681,plain,
( spl26_70
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_70])]) ).
fof(f2286,plain,
( spl26_306
<=> ! [X0] :
( m1_subset_1(sK6(sK3(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_306])]) ).
fof(f2307,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK6(sK3(X0)),u1_struct_0(X0)) )
| ~ spl26_70
| ~ spl26_306 ),
inference(resolution,[],[f2287,f682]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl26_70 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2287,plain,
( ! [X0] :
( m1_subset_1(sK6(sK3(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl26_306 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f4211,plain,
( spl26_540
| ~ spl26_131
| ~ spl26_321 ),
inference(avatar_split_clause,[],[f2413,f2382,f1079,f4209]) ).
fof(f4209,plain,
( spl26_540
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(sK12(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_540])]) ).
fof(f2382,plain,
( spl26_321
<=> ! [X2,X0,X1,X3] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,sK12(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_321])]) ).
fof(f2413,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(sK12(X1,X0,X2)) )
| ~ spl26_131
| ~ spl26_321 ),
inference(resolution,[],[f2383,f1080]) ).
fof(f2383,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X1,X2,X0))
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl26_321 ),
inference(avatar_component_clause,[],[f2382]) ).
fof(f4207,plain,
( spl26_539
| ~ spl26_131
| ~ spl26_320 ),
inference(avatar_split_clause,[],[f2410,f2378,f1079,f4205]) ).
fof(f4205,plain,
( spl26_539
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| ~ v1_xboole_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(sK12(X1,X2,k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_539])]) ).
fof(f2378,plain,
( spl26_320
<=> ! [X2,X0,X1,X3] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_320])]) ).
fof(f2410,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| ~ v1_xboole_0(X0)
| v1_xboole_0(X2)
| v1_xboole_0(sK12(X1,X2,k1_zfmisc_1(X0))) )
| ~ spl26_131
| ~ spl26_320 ),
inference(resolution,[],[f2379,f1080]) ).
fof(f2379,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1)))
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_320 ),
inference(avatar_component_clause,[],[f2378]) ).
fof(f4203,plain,
( spl26_538
| ~ spl26_289
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2185,f2155,f2138,f4201]) ).
fof(f4201,plain,
( spl26_538
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(sK7(X0,X1))))
| v1_xboole_0(X1)
| v1_funct_1(sK6(sK6(k1_zfmisc_1(sK7(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_538])]) ).
fof(f2138,plain,
( spl26_289
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_289])]) ).
fof(f2185,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(sK7(X0,X1))))
| v1_xboole_0(X1)
| v1_funct_1(sK6(sK6(k1_zfmisc_1(sK7(X0,X1))))) )
| ~ spl26_289
| ~ spl26_290 ),
inference(resolution,[],[f2156,f2139]) ).
fof(f2139,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) )
| ~ spl26_289 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f4199,plain,
( spl26_537
| ~ spl26_79
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2183,f2155,f728,f4197]) ).
fof(f4197,plain,
( spl26_537
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_537])]) ).
fof(f728,plain,
( spl26_79
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_79])]) ).
fof(f2183,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl26_79
| ~ spl26_290 ),
inference(resolution,[],[f2156,f729]) ).
fof(f729,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl26_79 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f4195,plain,
( spl26_536
| ~ spl26_72
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2182,f2155,f689,f4193]) ).
fof(f4193,plain,
( spl26_536
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_536])]) ).
fof(f689,plain,
( spl26_72
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_72])]) ).
fof(f2182,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) )
| ~ spl26_72
| ~ spl26_290 ),
inference(resolution,[],[f2156,f690]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl26_72 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f4185,plain,
( ~ spl26_535
| spl26_38
| ~ spl26_474 ),
inference(avatar_split_clause,[],[f3536,f3532,f521,f4182]) ).
fof(f521,plain,
( spl26_38
<=> k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f3536,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k5_relat_1(sK2,sK1)
| spl26_38
| ~ spl26_474 ),
inference(superposition,[],[f523,f3534]) ).
fof(f523,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
| spl26_38 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f4176,plain,
( spl26_534
| ~ spl26_39
| ~ spl26_314 ),
inference(avatar_split_clause,[],[f2358,f2330,f526,f4174]) ).
fof(f4174,plain,
( spl26_534
<=> ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| l1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_534])]) ).
fof(f2330,plain,
( spl26_314
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_314])]) ).
fof(f2358,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| l1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl26_39
| ~ spl26_314 ),
inference(resolution,[],[f2331,f527]) ).
fof(f2331,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_314 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f4172,plain,
( spl26_533
| ~ spl26_50
| ~ spl26_311 ),
inference(avatar_split_clause,[],[f2338,f2318,f586,f4170]) ).
fof(f4170,plain,
( spl26_533
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,sK12(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_533])]) ).
fof(f2338,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,sK12(X1,X2,X0)) )
| ~ spl26_50
| ~ spl26_311 ),
inference(resolution,[],[f2319,f587]) ).
fof(f4168,plain,
( spl26_532
| ~ spl26_61
| ~ spl26_306 ),
inference(avatar_split_clause,[],[f2309,f2286,f633,f4166]) ).
fof(f4166,plain,
( spl26_532
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_relat_1(sK6(sK3(X0)))
| ~ v1_fraenkel(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_532])]) ).
fof(f2309,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_relat_1(sK6(sK3(X0)))
| ~ v1_fraenkel(u1_struct_0(X0)) )
| ~ spl26_61
| ~ spl26_306 ),
inference(resolution,[],[f2287,f634]) ).
fof(f4164,plain,
( spl26_531
| ~ spl26_62
| ~ spl26_306 ),
inference(avatar_split_clause,[],[f2308,f2286,f637,f4162]) ).
fof(f4162,plain,
( spl26_531
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_funct_1(sK6(sK3(X0)))
| ~ v1_fraenkel(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_531])]) ).
fof(f2308,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0))
| v1_funct_1(sK6(sK3(X0)))
| ~ v1_fraenkel(u1_struct_0(X0)) )
| ~ spl26_62
| ~ spl26_306 ),
inference(resolution,[],[f2287,f638]) ).
fof(f4160,plain,
( spl26_530
| ~ spl26_169
| ~ spl26_291 ),
inference(avatar_split_clause,[],[f2186,f2159,f1353,f4158]) ).
fof(f4158,plain,
( spl26_530
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_530])]) ).
fof(f1353,plain,
( spl26_169
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_169])]) ).
fof(f2186,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl26_169
| ~ spl26_291 ),
inference(resolution,[],[f2160,f1354]) ).
fof(f1354,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl26_169 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f4156,plain,
( spl26_529
| ~ spl26_76
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2184,f2155,f714,f4154]) ).
fof(f4154,plain,
( spl26_529
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_529])]) ).
fof(f714,plain,
( spl26_76
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_76])]) ).
fof(f2184,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl26_76
| ~ spl26_290 ),
inference(resolution,[],[f2156,f715]) ).
fof(f715,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl26_76 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f4148,plain,
( spl26_253
| ~ spl26_279
| spl26_528
| ~ spl26_281
| ~ spl26_111
| ~ spl26_280 ),
inference(avatar_split_clause,[],[f2201,f2083,f949,f2087,f4146,f2079,f1930]) ).
fof(f1930,plain,
( spl26_253
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_253])]) ).
fof(f2079,plain,
( spl26_279
<=> v1_funct_1(u1_group_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_279])]) ).
fof(f4146,plain,
( spl26_528
<=> ! [X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),X1,u1_group_1(sK0)) = k5_relat_1(X1,u1_group_1(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ m1_relset_1(X1,X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_528])]) ).
fof(f2087,plain,
( spl26_281
<=> m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_281])]) ).
fof(f949,plain,
( spl26_111
<=> ! [X4,X0,X3,X2,X1] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_111])]) ).
fof(f2083,plain,
( spl26_280
<=> v1_funct_2(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_280])]) ).
fof(f2201,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| k7_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),X1,u1_group_1(sK0)) = k5_relat_1(X1,u1_group_1(sK0))
| ~ v1_funct_1(u1_group_1(sK0))
| ~ m1_relset_1(X1,X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ v1_funct_2(X1,X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ v1_funct_1(X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_111
| ~ spl26_280 ),
inference(resolution,[],[f2084,f950]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_111 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f2084,plain,
( v1_funct_2(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_280 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f4139,plain,
( spl26_527
| ~ spl26_251
| ~ spl26_391 ),
inference(avatar_split_clause,[],[f2925,f2903,f1918,f4137]) ).
fof(f4137,plain,
( spl26_527
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),k1_zfmisc_1(k4_autgroup(sK0)))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),k1_zfmisc_1(k4_autgroup(sK0)))
| ~ v1_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X4,X2)
| v1_xboole_0(k2_binop_1(X1,X2,k1_zfmisc_1(k4_autgroup(sK0)),X0,X3,X4))
| v1_funct_1(sK6(k2_binop_1(X1,X2,k1_zfmisc_1(k4_autgroup(sK0)),X0,X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_527])]) ).
fof(f1918,plain,
( spl26_251
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_251])]) ).
fof(f2903,plain,
( spl26_391
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK6(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)),X4)
| ~ m1_subset_1(X5,X3)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_391])]) ).
fof(f2925,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),k1_zfmisc_1(k4_autgroup(sK0)))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),k1_zfmisc_1(k4_autgroup(sK0)))
| ~ v1_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X4,X2)
| v1_xboole_0(k2_binop_1(X1,X2,k1_zfmisc_1(k4_autgroup(sK0)),X0,X3,X4))
| v1_funct_1(sK6(k2_binop_1(X1,X2,k1_zfmisc_1(k4_autgroup(sK0)),X0,X3,X4))) )
| ~ spl26_251
| ~ spl26_391 ),
inference(resolution,[],[f2904,f1919]) ).
fof(f1919,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_funct_1(X0) )
| ~ spl26_251 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f2904,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK6(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)),X4)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X5,X3)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)) )
| ~ spl26_391 ),
inference(avatar_component_clause,[],[f2903]) ).
fof(f4101,plain,
( spl26_526
| ~ spl26_131
| ~ spl26_295 ),
inference(avatar_split_clause,[],[f2221,f2175,f1079,f4099]) ).
fof(f4099,plain,
( spl26_526
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_526])]) ).
fof(f2175,plain,
( spl26_295
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_295])]) ).
fof(f2221,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl26_131
| ~ spl26_295 ),
inference(resolution,[],[f2176,f1080]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_295 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f4097,plain,
( spl26_525
| ~ spl26_131
| ~ spl26_294 ),
inference(avatar_split_clause,[],[f2219,f2171,f1079,f4095]) ).
fof(f4095,plain,
( spl26_525
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_525])]) ).
fof(f2171,plain,
( spl26_294
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_294])]) ).
fof(f2219,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl26_131
| ~ spl26_294 ),
inference(resolution,[],[f2172,f1080]) ).
fof(f2172,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_294 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f4087,plain,
( spl26_524
| ~ spl26_130
| ~ spl26_461 ),
inference(avatar_split_clause,[],[f4064,f3385,f1070,f4084]) ).
fof(f4084,plain,
( spl26_524
<=> sK16 = sK6(k1_zfmisc_1(k4_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_524])]) ).
fof(f3385,plain,
( spl26_461
<=> v1_xboole_0(sK6(k1_zfmisc_1(k4_autgroup(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_461])]) ).
fof(f4064,plain,
( sK16 = sK6(k1_zfmisc_1(k4_autgroup(sK0)))
| ~ spl26_130
| ~ spl26_461 ),
inference(resolution,[],[f3387,f1071]) ).
fof(f3387,plain,
( v1_xboole_0(sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| ~ spl26_461 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f4082,plain,
( spl26_523
| ~ spl26_131
| ~ spl26_293 ),
inference(avatar_split_clause,[],[f2217,f2167,f1079,f4080]) ).
fof(f4080,plain,
( spl26_523
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_523])]) ).
fof(f2217,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl26_131
| ~ spl26_293 ),
inference(resolution,[],[f2168,f1080]) ).
fof(f4078,plain,
( spl26_522
| ~ spl26_131
| ~ spl26_292 ),
inference(avatar_split_clause,[],[f2189,f2163,f1079,f4076]) ).
fof(f4076,plain,
( spl26_522
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_522])]) ).
fof(f2189,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) )
| ~ spl26_131
| ~ spl26_292 ),
inference(resolution,[],[f2164,f1080]) ).
fof(f4074,plain,
( spl26_521
| ~ spl26_70
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2178,f2155,f681,f4072]) ).
fof(f4072,plain,
( spl26_521
<=> ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_521])]) ).
fof(f2178,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) )
| ~ spl26_70
| ~ spl26_290 ),
inference(resolution,[],[f2156,f682]) ).
fof(f4061,plain,
( spl26_461
| spl26_520
| ~ spl26_251
| ~ spl26_388 ),
inference(avatar_split_clause,[],[f2880,f2872,f1918,f4059,f3385]) ).
fof(f4059,plain,
( spl26_520
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| v1_funct_1(k2_binop_1(X1,X2,sK6(k1_zfmisc_1(k4_autgroup(sK0))),X0,X4,X3))
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),sK6(k1_zfmisc_1(k4_autgroup(sK0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_520])]) ).
fof(f2872,plain,
( spl26_388
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(sK6(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,X3)
| m1_subset_1(k2_binop_1(X1,X3,sK6(k1_zfmisc_1(X4)),X2,X0,X5),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_388])]) ).
fof(f2880,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| ~ v1_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| ~ m1_subset_1(X3,X2)
| ~ m1_subset_1(X4,X1)
| v1_funct_1(k2_binop_1(X1,X2,sK6(k1_zfmisc_1(k4_autgroup(sK0))),X0,X4,X3)) )
| ~ spl26_251
| ~ spl26_388 ),
inference(resolution,[],[f2873,f1919]) ).
fof(f2873,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(k2_binop_1(X1,X3,sK6(k1_zfmisc_1(X4)),X2,X0,X5),X4)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(sK6(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X0,X1) )
| ~ spl26_388 ),
inference(avatar_component_clause,[],[f2872]) ).
fof(f4048,plain,
( spl26_519
| ~ spl26_39
| ~ spl26_301 ),
inference(avatar_split_clause,[],[f2261,f2245,f526,f4046]) ).
fof(f4046,plain,
( spl26_519
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| l1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_519])]) ).
fof(f2245,plain,
( spl26_301
<=> ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_301])]) ).
fof(f2261,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| l1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) )
| ~ spl26_39
| ~ spl26_301 ),
inference(resolution,[],[f2246,f527]) ).
fof(f2246,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_301 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f4044,plain,
( spl26_518
| ~ spl26_61
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2180,f2155,f633,f4042]) ).
fof(f4042,plain,
( spl26_518
<=> ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_518])]) ).
fof(f2180,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) )
| ~ spl26_61
| ~ spl26_290 ),
inference(resolution,[],[f2156,f634]) ).
fof(f4040,plain,
( spl26_517
| ~ spl26_62
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2179,f2155,f637,f4038]) ).
fof(f4038,plain,
( spl26_517
<=> ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_funct_1(sK6(sK6(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_517])]) ).
fof(f2179,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_funct_1(sK6(sK6(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) )
| ~ spl26_62
| ~ spl26_290 ),
inference(resolution,[],[f2156,f638]) ).
fof(f4035,plain,
( spl26_119
| ~ spl26_279
| ~ spl26_281
| spl26_516
| ~ spl26_280
| ~ spl26_359 ),
inference(avatar_split_clause,[],[f2696,f2685,f2083,f4033,f2087,f2079,f1013]) ).
fof(f1013,plain,
( spl26_119
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_119])]) ).
fof(f4033,plain,
( spl26_516
<=> ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),X0,u1_group_1(sK0),sK11(u1_struct_0(sK0),X0)) = k5_relat_1(u1_group_1(sK0),sK11(u1_struct_0(sK0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_516])]) ).
fof(f2685,plain,
( spl26_359
<=> ! [X0,X3,X2,X1] :
( k7_funct_2(X0,X1,X2,X3,sK11(X1,X2)) = k5_relat_1(X3,sK11(X1,X2))
| ~ v1_funct_1(sK11(X1,X2))
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_359])]) ).
fof(f2696,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),X0,u1_group_1(sK0),sK11(u1_struct_0(sK0),X0)) = k5_relat_1(u1_group_1(sK0),sK11(u1_struct_0(sK0),X0))
| ~ v1_funct_1(u1_group_1(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_280
| ~ spl26_359 ),
inference(resolution,[],[f2686,f2084]) ).
fof(f2686,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(sK11(X1,X2))
| ~ m1_relset_1(X3,X0,X1)
| k7_funct_2(X0,X1,X2,X3,sK11(X1,X2)) = k5_relat_1(X3,sK11(X1,X2))
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_359 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f4028,plain,
( spl26_119
| spl26_515
| ~ spl26_180
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2118,f2109,f1428,f4026,f1013]) ).
fof(f4026,plain,
( spl26_515
<=> ! [X0,X1] :
( ~ v1_funct_1(sK12(X0,u1_struct_0(sK0),X1))
| ~ m1_fraenkel(X1,X0,u1_struct_0(sK0))
| ~ m1_relset_1(sK12(X0,u1_struct_0(sK0),X1),X0,u1_struct_0(sK0))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK12(X0,u1_struct_0(sK0),X1),sK2) = k5_relat_1(sK12(X0,u1_struct_0(sK0),X1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_515])]) ).
fof(f1428,plain,
( spl26_180
<=> ! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_180])]) ).
fof(f2118,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK12(X0,u1_struct_0(sK0),X1))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK12(X0,u1_struct_0(sK0),X1),sK2) = k5_relat_1(sK12(X0,u1_struct_0(sK0),X1),sK2)
| ~ m1_relset_1(sK12(X0,u1_struct_0(sK0),X1),X0,u1_struct_0(sK0))
| ~ m1_fraenkel(X1,X0,u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_180
| ~ spl26_284 ),
inference(resolution,[],[f2110,f1429]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_180 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f4021,plain,
( spl26_119
| spl26_514
| ~ spl26_180
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2107,f2098,f1428,f4019,f1013]) ).
fof(f4019,plain,
( spl26_514
<=> ! [X0,X1] :
( ~ v1_funct_1(sK12(X0,u1_struct_0(sK0),X1))
| ~ m1_fraenkel(X1,X0,u1_struct_0(sK0))
| ~ m1_relset_1(sK12(X0,u1_struct_0(sK0),X1),X0,u1_struct_0(sK0))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK12(X0,u1_struct_0(sK0),X1),sK1) = k5_relat_1(sK12(X0,u1_struct_0(sK0),X1),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_514])]) ).
fof(f2107,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK12(X0,u1_struct_0(sK0),X1))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK12(X0,u1_struct_0(sK0),X1),sK1) = k5_relat_1(sK12(X0,u1_struct_0(sK0),X1),sK1)
| ~ m1_relset_1(sK12(X0,u1_struct_0(sK0),X1),X0,u1_struct_0(sK0))
| ~ m1_fraenkel(X1,X0,u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_180
| ~ spl26_283 ),
inference(resolution,[],[f2099,f1429]) ).
fof(f4008,plain,
( spl26_119
| ~ spl26_279
| ~ spl26_281
| spl26_513
| ~ spl26_113
| ~ spl26_280 ),
inference(avatar_split_clause,[],[f2204,f2083,f968,f4006,f2087,f2079,f1013]) ).
fof(f4006,plain,
( spl26_513
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),X1,X0) = k1_binop_1(u1_group_1(sK0),X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_513])]) ).
fof(f968,plain,
( spl26_113
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_113])]) ).
fof(f2204,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),X1,X0) = k1_binop_1(u1_group_1(sK0),X1,X0)
| ~ v1_funct_1(u1_group_1(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_113
| ~ spl26_280 ),
inference(duplicate_literal_removal,[],[f2198]) ).
fof(f2198,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),X1,X0) = k1_binop_1(u1_group_1(sK0),X1,X0)
| ~ v1_funct_1(u1_group_1(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_113
| ~ spl26_280 ),
inference(resolution,[],[f2084,f969]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_113 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f4000,plain,
( ~ spl26_512
| ~ spl26_261
| ~ spl26_41
| ~ spl26_499 ),
inference(avatar_split_clause,[],[f3946,f3862,f534,f1980,f3997]) ).
fof(f3997,plain,
( spl26_512
<=> v1_xboole_0(sK6(k4_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_512])]) ).
fof(f1980,plain,
( spl26_261
<=> v1_funct_1(sK6(k4_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_261])]) ).
fof(f3862,plain,
( spl26_499
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_499])]) ).
fof(f3946,plain,
( ~ v1_funct_1(sK6(k4_autgroup(sK0)))
| ~ v1_xboole_0(sK6(k4_autgroup(sK0)))
| ~ spl26_41
| ~ spl26_499 ),
inference(resolution,[],[f3863,f535]) ).
fof(f3863,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) )
| ~ spl26_499 ),
inference(avatar_component_clause,[],[f3862]) ).
fof(f3987,plain,
( spl26_511
| ~ spl26_74
| ~ spl26_370 ),
inference(avatar_split_clause,[],[f3185,f2751,f697,f3984]) ).
fof(f3984,plain,
( spl26_511
<=> m2_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_511])]) ).
fof(f697,plain,
( spl26_74
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_74])]) ).
fof(f2751,plain,
( spl26_370
<=> m1_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_370])]) ).
fof(f3185,plain,
( m2_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ spl26_74
| ~ spl26_370 ),
inference(resolution,[],[f2752,f698]) ).
fof(f698,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl26_74 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f2752,plain,
( m1_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ spl26_370 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f3982,plain,
( spl26_510
| ~ spl26_74
| ~ spl26_366 ),
inference(avatar_split_clause,[],[f3089,f2732,f697,f3979]) ).
fof(f3979,plain,
( spl26_510
<=> m2_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_510])]) ).
fof(f2732,plain,
( spl26_366
<=> m1_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_366])]) ).
fof(f3089,plain,
( m2_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ spl26_74
| ~ spl26_366 ),
inference(resolution,[],[f2733,f698]) ).
fof(f2733,plain,
( m1_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ spl26_366 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f3977,plain,
( spl26_509
| ~ spl26_74
| ~ spl26_362 ),
inference(avatar_split_clause,[],[f2993,f2713,f697,f3974]) ).
fof(f3974,plain,
( spl26_509
<=> m2_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_509])]) ).
fof(f2713,plain,
( spl26_362
<=> m1_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_362])]) ).
fof(f2993,plain,
( m2_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ spl26_74
| ~ spl26_362 ),
inference(resolution,[],[f2714,f698]) ).
fof(f2714,plain,
( m1_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ spl26_362 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f3972,plain,
( ~ spl26_25
| spl26_507
| ~ spl26_368
| ~ spl26_508
| ~ spl26_168
| ~ spl26_315 ),
inference(avatar_split_clause,[],[f2362,f2334,f1343,f3969,f2743,f3965,f457]) ).
fof(f457,plain,
( spl26_25
<=> l1_group_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).
fof(f3965,plain,
( spl26_507
<=> v1_xboole_0(u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_507])]) ).
fof(f2743,plain,
( spl26_368
<=> v1_funct_1(u1_group_1(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_368])]) ).
fof(f3969,plain,
( spl26_508
<=> v3_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_508])]) ).
fof(f1343,plain,
( spl26_168
<=> sK21 = g1_group_1(u1_struct_0(sK21),u1_group_1(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_168])]) ).
fof(f2334,plain,
( spl26_315
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_315])]) ).
fof(f2362,plain,
( ~ v3_struct_0(sK21)
| ~ v1_funct_1(u1_group_1(sK21))
| v1_xboole_0(u1_struct_0(sK21))
| ~ l1_group_1(sK21)
| ~ spl26_168
| ~ spl26_315 ),
inference(superposition,[],[f2335,f1345]) ).
fof(f1345,plain,
( sK21 = g1_group_1(u1_struct_0(sK21),u1_group_1(sK21))
| ~ spl26_168 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f2335,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_315 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f3953,plain,
( spl26_119
| spl26_506
| ~ spl26_111
| ~ spl26_259 ),
inference(avatar_split_clause,[],[f1967,f1964,f949,f3951,f1013]) ).
fof(f3951,plain,
( spl26_506
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_0(sK0))
| ~ m1_relset_1(X2,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X2,X0) = k5_relat_1(X2,X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_506])]) ).
fof(f1964,plain,
( spl26_259
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_259])]) ).
fof(f1967,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X2,X0) = k5_relat_1(X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X2,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_111
| ~ spl26_259 ),
inference(resolution,[],[f1965,f950]) ).
fof(f1965,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_259 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f3930,plain,
( spl26_119
| spl26_505
| ~ spl26_259
| ~ spl26_359 ),
inference(avatar_split_clause,[],[f2690,f2685,f1964,f3928,f1013]) ).
fof(f3928,plain,
( spl26_505
<=> ! [X0,X1] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| ~ m1_subset_1(X1,k4_autgroup(sK0))
| ~ v1_funct_1(X1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,X1,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(X1,sK11(u1_struct_0(sK0),X0))
| ~ m1_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_505])]) ).
fof(f2690,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| ~ m1_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,X1,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(X1,sK11(u1_struct_0(sK0),X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X1,k4_autgroup(sK0)) )
| ~ spl26_259
| ~ spl26_359 ),
inference(resolution,[],[f2686,f1965]) ).
fof(f3925,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| spl26_331
| ~ spl26_503
| spl26_504
| ~ spl26_263
| ~ spl26_387 ),
inference(avatar_split_clause,[],[f2864,f2860,f1989,f3923,f3919,f2461,f357,f352,f347,f342,f337]) ).
fof(f2864,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK1) = k1_binop_1(k2_autgroup(sK0),X0,sK1)
| ~ v1_funct_1(k2_autgroup(sK0))
| v1_xboole_0(k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl26_263
| ~ spl26_387 ),
inference(resolution,[],[f2861,f1991]) ).
fof(f3876,plain,
( spl26_502
| ~ spl26_41
| ~ spl26_299 ),
inference(avatar_split_clause,[],[f2253,f2231,f534,f3874]) ).
fof(f3874,plain,
( spl26_502
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK6(sK7(X1,X0)),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_502])]) ).
fof(f2253,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| m2_relset_1(sK6(sK7(X1,X0)),X1,X0) )
| ~ spl26_41
| ~ spl26_299 ),
inference(resolution,[],[f2232,f535]) ).
fof(f3872,plain,
( spl26_501
| ~ spl26_41
| ~ spl26_297 ),
inference(avatar_split_clause,[],[f2249,f2223,f534,f3870]) ).
fof(f3870,plain,
( spl26_501
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK6(sK7(X1,X0)),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_501])]) ).
fof(f2249,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_2(sK6(sK7(X1,X0)),X1,X0) )
| ~ spl26_41
| ~ spl26_297 ),
inference(resolution,[],[f2224,f535]) ).
fof(f3868,plain,
( spl26_500
| ~ spl26_68
| ~ spl26_277 ),
inference(avatar_split_clause,[],[f2074,f2066,f662,f3866]) ).
fof(f3866,plain,
( spl26_500
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_500])]) ).
fof(f2066,plain,
( spl26_277
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_277])]) ).
fof(f2074,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl26_68
| ~ spl26_277 ),
inference(resolution,[],[f2067,f663]) ).
fof(f2067,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl26_277 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f3864,plain,
( spl26_499
| ~ spl26_316
| ~ spl26_470 ),
inference(avatar_split_clause,[],[f3487,f3475,f2354,f3862]) ).
fof(f2354,plain,
( spl26_316
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_316])]) ).
fof(f3475,plain,
( spl26_470
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_470])]) ).
fof(f3487,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) )
| ~ spl26_316
| ~ spl26_470 ),
inference(duplicate_literal_removal,[],[f3480]) ).
fof(f3480,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_316
| ~ spl26_470 ),
inference(resolution,[],[f3476,f2355]) ).
fof(f2355,plain,
( ! [X0] :
( m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_316 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f3476,plain,
( ! [X0] :
( ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) )
| ~ spl26_470 ),
inference(avatar_component_clause,[],[f3475]) ).
fof(f3855,plain,
( spl26_498
| ~ spl26_112
| ~ spl26_251 ),
inference(avatar_split_clause,[],[f1921,f1918,f957,f3853]) ).
fof(f3853,plain,
( spl26_498
<=> ! [X4,X0,X3,X2,X1] :
( v1_funct_1(k2_binop_1(X0,X1,k4_autgroup(sK0),X2,X3,X4))
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X1),k4_autgroup(sK0))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X1),k4_autgroup(sK0))
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_498])]) ).
fof(f957,plain,
( spl26_112
<=> ! [X3,X4,X0,X5,X2,X1] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_112])]) ).
fof(f1921,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_funct_1(k2_binop_1(X0,X1,k4_autgroup(sK0),X2,X3,X4))
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X1),k4_autgroup(sK0))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X1),k4_autgroup(sK0))
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_112
| ~ spl26_251 ),
inference(resolution,[],[f1919,f958]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_112 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f3850,plain,
( spl26_119
| ~ spl26_138
| ~ spl26_205
| spl26_497
| ~ spl26_146
| ~ spl26_359 ),
inference(avatar_split_clause,[],[f2698,f2685,f1180,f3848,f1587,f1114,f1013]) ).
fof(f1114,plain,
( spl26_138
<=> v1_funct_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_138])]) ).
fof(f1587,plain,
( spl26_205
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_205])]) ).
fof(f3848,plain,
( spl26_497
<=> ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,sK2,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(sK2,sK11(u1_struct_0(sK0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_497])]) ).
fof(f1180,plain,
( spl26_146
<=> v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_146])]) ).
fof(f2698,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,sK2,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(sK2,sK11(u1_struct_0(sK0),X0))
| ~ v1_funct_1(sK2)
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_146
| ~ spl26_359 ),
inference(resolution,[],[f2686,f1182]) ).
fof(f1182,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_146 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f3845,plain,
( spl26_119
| ~ spl26_121
| ~ spl26_201
| spl26_496
| ~ spl26_144
| ~ spl26_359 ),
inference(avatar_split_clause,[],[f2697,f2685,f1169,f3843,f1560,f1021,f1013]) ).
fof(f1021,plain,
( spl26_121
<=> v1_funct_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_121])]) ).
fof(f1560,plain,
( spl26_201
<=> m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_201])]) ).
fof(f3843,plain,
( spl26_496
<=> ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(sK1,sK11(u1_struct_0(sK0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_496])]) ).
fof(f1169,plain,
( spl26_144
<=> v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_144])]) ).
fof(f2697,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(u1_struct_0(sK0),X0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1,sK11(u1_struct_0(sK0),X0)) = k5_relat_1(sK1,sK11(u1_struct_0(sK0),X0))
| ~ v1_funct_1(sK1)
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_144
| ~ spl26_359 ),
inference(resolution,[],[f2686,f1171]) ).
fof(f1171,plain,
( v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_144 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f3833,plain,
( spl26_495
| ~ spl26_131
| ~ spl26_288 ),
inference(avatar_split_clause,[],[f2148,f2134,f1079,f3831]) ).
fof(f3831,plain,
( spl26_495
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_495])]) ).
fof(f2134,plain,
( spl26_288
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_288])]) ).
fof(f2148,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl26_131
| ~ spl26_288 ),
inference(resolution,[],[f2135,f1080]) ).
fof(f2135,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl26_288 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f3829,plain,
( spl26_494
| ~ spl26_131
| ~ spl26_287 ),
inference(avatar_split_clause,[],[f2146,f2130,f1079,f3827]) ).
fof(f3827,plain,
( spl26_494
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_494])]) ).
fof(f2130,plain,
( spl26_287
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_287])]) ).
fof(f2146,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl26_131
| ~ spl26_287 ),
inference(resolution,[],[f2131,f1080]) ).
fof(f2131,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl26_287 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f3825,plain,
( spl26_493
| ~ spl26_131
| ~ spl26_286 ),
inference(avatar_split_clause,[],[f2144,f2126,f1079,f3823]) ).
fof(f3823,plain,
( spl26_493
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_493])]) ).
fof(f2126,plain,
( spl26_286
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_286])]) ).
fof(f2144,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl26_131
| ~ spl26_286 ),
inference(resolution,[],[f2127,f1080]) ).
fof(f2127,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl26_286 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f3821,plain,
( spl26_492
| ~ spl26_131
| ~ spl26_285 ),
inference(avatar_split_clause,[],[f2142,f2120,f1079,f3819]) ).
fof(f3819,plain,
( spl26_492
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_492])]) ).
fof(f2120,plain,
( spl26_285
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_285])]) ).
fof(f2142,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) )
| ~ spl26_131
| ~ spl26_285 ),
inference(resolution,[],[f2121,f1080]) ).
fof(f2121,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK8(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl26_285 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f3798,plain,
( ~ spl26_281
| spl26_491
| ~ spl26_279
| ~ spl26_280
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2200,f2098,f2083,f2079,f3795,f2087]) ).
fof(f3795,plain,
( spl26_491
<=> k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),sK1) = k5_relat_1(u1_group_1(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_491])]) ).
fof(f2200,plain,
( ~ v1_funct_1(u1_group_1(sK0))
| k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),sK1) = k5_relat_1(u1_group_1(sK0),sK1)
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_280
| ~ spl26_283 ),
inference(resolution,[],[f2084,f2099]) ).
fof(f3778,plain,
( ~ spl26_281
| spl26_490
| ~ spl26_279
| ~ spl26_280
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2199,f2109,f2083,f2079,f3775,f2087]) ).
fof(f3775,plain,
( spl26_490
<=> k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),sK2) = k5_relat_1(u1_group_1(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_490])]) ).
fof(f2199,plain,
( ~ v1_funct_1(u1_group_1(sK0))
| k7_funct_2(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),u1_group_1(sK0),sK2) = k5_relat_1(u1_group_1(sK0),sK2)
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_280
| ~ spl26_284 ),
inference(resolution,[],[f2084,f2110]) ).
fof(f3773,plain,
( spl26_489
| ~ spl26_41
| ~ spl26_477 ),
inference(avatar_split_clause,[],[f3694,f3588,f534,f3770]) ).
fof(f3770,plain,
( spl26_489
<=> v1_relat_1(sK6(k1_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_489])]) ).
fof(f3588,plain,
( spl26_477
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_477])]) ).
fof(f3694,plain,
( v1_relat_1(sK6(k1_autgroup(sK0)))
| ~ spl26_41
| ~ spl26_477 ),
inference(resolution,[],[f3589,f535]) ).
fof(f3589,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_relat_1(X0) )
| ~ spl26_477 ),
inference(avatar_component_clause,[],[f3588]) ).
fof(f3768,plain,
( spl26_488
| ~ spl26_57
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2117,f2109,f614,f3766]) ).
fof(f3766,plain,
( spl26_488
<=> ! [X0] :
( ~ v1_funct_1(sK11(X0,u1_struct_0(sK0)))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK11(X0,u1_struct_0(sK0)),sK2) = k5_relat_1(sK11(X0,u1_struct_0(sK0)),sK2)
| ~ m1_relset_1(sK11(X0,u1_struct_0(sK0)),X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_488])]) ).
fof(f614,plain,
( spl26_57
<=> ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_57])]) ).
fof(f2117,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(X0,u1_struct_0(sK0)))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK11(X0,u1_struct_0(sK0)),sK2) = k5_relat_1(sK11(X0,u1_struct_0(sK0)),sK2)
| ~ m1_relset_1(sK11(X0,u1_struct_0(sK0)),X0,u1_struct_0(sK0)) )
| ~ spl26_57
| ~ spl26_284 ),
inference(resolution,[],[f2110,f615]) ).
fof(f615,plain,
( ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1)
| ~ spl26_57 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f3764,plain,
( spl26_487
| ~ spl26_57
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2106,f2098,f614,f3762]) ).
fof(f3762,plain,
( spl26_487
<=> ! [X0] :
( ~ v1_funct_1(sK11(X0,u1_struct_0(sK0)))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK11(X0,u1_struct_0(sK0)),sK1) = k5_relat_1(sK11(X0,u1_struct_0(sK0)),sK1)
| ~ m1_relset_1(sK11(X0,u1_struct_0(sK0)),X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_487])]) ).
fof(f2106,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(X0,u1_struct_0(sK0)))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),sK11(X0,u1_struct_0(sK0)),sK1) = k5_relat_1(sK11(X0,u1_struct_0(sK0)),sK1)
| ~ m1_relset_1(sK11(X0,u1_struct_0(sK0)),X0,u1_struct_0(sK0)) )
| ~ spl26_57
| ~ spl26_283 ),
inference(resolution,[],[f2099,f615]) ).
fof(f3744,plain,
( spl26_486
| ~ spl26_41
| ~ spl26_289 ),
inference(avatar_split_clause,[],[f2150,f2138,f534,f3742]) ).
fof(f3742,plain,
( spl26_486
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_1(sK6(sK7(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_486])]) ).
fof(f2150,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_1(sK6(sK7(X1,X0))) )
| ~ spl26_41
| ~ spl26_289 ),
inference(resolution,[],[f2139,f535]) ).
fof(f3740,plain,
( spl26_485
| ~ spl26_130
| ~ spl26_277 ),
inference(avatar_split_clause,[],[f2073,f2066,f1070,f3738]) ).
fof(f3738,plain,
( spl26_485
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK16 = sK6(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_485])]) ).
fof(f2073,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK16 = sK6(k1_zfmisc_1(X0)) )
| ~ spl26_130
| ~ spl26_277 ),
inference(resolution,[],[f2067,f1071]) ).
fof(f3708,plain,
( ~ spl26_457
| spl26_484
| ~ spl26_279
| ~ spl26_353 ),
inference(avatar_split_clause,[],[f2639,f2622,f2079,f3706,f3368]) ).
fof(f3368,plain,
( spl26_457
<=> v1_relat_1(u1_group_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_457])]) ).
fof(f3706,plain,
( spl26_484
<=> ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,u1_group_1(sK0)),X1,X2) = k1_funct_1(k5_relat_1(X0,u1_group_1(sK0)),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_484])]) ).
fof(f2622,plain,
( spl26_353
<=> ! [X0,X3,X2,X1] :
( k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_353])]) ).
fof(f2639,plain,
( ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,u1_group_1(sK0)),X1,X2) = k1_funct_1(k5_relat_1(X0,u1_group_1(sK0)),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(u1_group_1(sK0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_279
| ~ spl26_353 ),
inference(resolution,[],[f2623,f2080]) ).
fof(f2080,plain,
( v1_funct_1(u1_group_1(sK0))
| ~ spl26_279 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2623,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_353 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f3703,plain,
( spl26_119
| ~ spl26_281
| ~ spl26_279
| spl26_483
| ~ spl26_94
| ~ spl26_280 ),
inference(avatar_split_clause,[],[f2203,f2083,f834,f3700,f2079,f2087,f1013]) ).
fof(f3700,plain,
( spl26_483
<=> v1_partfun1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_483])]) ).
fof(f834,plain,
( spl26_94
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_94])]) ).
fof(f2203,plain,
( v1_partfun1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_group_1(sK0))
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_94
| ~ spl26_280 ),
inference(resolution,[],[f2084,f835]) ).
fof(f835,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_94 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f3668,plain,
( spl26_482
| ~ spl26_259
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2112,f2109,f1964,f3666]) ).
fof(f3666,plain,
( spl26_482
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sK2) = k5_relat_1(X0,sK2)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_482])]) ).
fof(f2112,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sK2) = k5_relat_1(X0,sK2)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_259
| ~ spl26_284 ),
inference(resolution,[],[f2110,f1965]) ).
fof(f3664,plain,
( spl26_481
| ~ spl26_259
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2101,f2098,f1964,f3662]) ).
fof(f3662,plain,
( spl26_481
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) = k5_relat_1(X0,sK1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_481])]) ).
fof(f2101,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) = k5_relat_1(X0,sK1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_259
| ~ spl26_283 ),
inference(resolution,[],[f2099,f1965]) ).
fof(f3656,plain,
( spl26_480
| ~ spl26_40
| ~ spl26_277 ),
inference(avatar_split_clause,[],[f2076,f2066,f530,f3654]) ).
fof(f3654,plain,
( spl26_480
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_480])]) ).
fof(f2076,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK6(k1_zfmisc_1(X0))) )
| ~ spl26_40
| ~ spl26_277 ),
inference(resolution,[],[f2067,f531]) ).
fof(f3625,plain,
( ~ spl26_165
| spl26_479
| ~ spl26_138
| ~ spl26_353 ),
inference(avatar_split_clause,[],[f2643,f2622,f1114,f3623,f1316]) ).
fof(f1316,plain,
( spl26_165
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_165])]) ).
fof(f3623,plain,
( spl26_479
<=> ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,sK2),X1,X2) = k1_funct_1(k5_relat_1(X0,sK2),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_479])]) ).
fof(f2643,plain,
( ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,sK2),X1,X2) = k1_funct_1(k5_relat_1(X0,sK2),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_138
| ~ spl26_353 ),
inference(resolution,[],[f2623,f1116]) ).
fof(f1116,plain,
( v1_funct_1(sK2)
| ~ spl26_138 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f3594,plain,
( ~ spl26_161
| spl26_478
| ~ spl26_121
| ~ spl26_353 ),
inference(avatar_split_clause,[],[f2642,f2622,f1021,f3592,f1286]) ).
fof(f1286,plain,
( spl26_161
<=> v1_relat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_161])]) ).
fof(f3592,plain,
( spl26_478
<=> ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,sK1),X1,X2) = k1_funct_1(k5_relat_1(X0,sK1),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_478])]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( k1_binop_1(k5_relat_1(X0,sK1),X1,X2) = k1_funct_1(k5_relat_1(X0,sK1),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_121
| ~ spl26_353 ),
inference(resolution,[],[f2623,f1023]) ).
fof(f1023,plain,
( v1_funct_1(sK1)
| ~ spl26_121 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f3590,plain,
( spl26_477
| ~ spl26_137
| ~ spl26_465 ),
inference(avatar_split_clause,[],[f3411,f3406,f1103,f3588]) ).
fof(f3411,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_relat_1(X0) )
| ~ spl26_137
| ~ spl26_465 ),
inference(resolution,[],[f3407,f1104]) ).
fof(f3568,plain,
( ~ spl26_205
| spl26_476
| ~ spl26_138
| ~ spl26_146
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2116,f2109,f1180,f1114,f3565,f1587]) ).
fof(f3565,plain,
( spl26_476
<=> k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK2) = k5_relat_1(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_476])]) ).
fof(f2116,plain,
( ~ v1_funct_1(sK2)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK2) = k5_relat_1(sK2,sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_146
| ~ spl26_284 ),
inference(resolution,[],[f2110,f1182]) ).
fof(f3552,plain,
( ~ spl26_201
| spl26_475
| ~ spl26_121
| ~ spl26_144
| ~ spl26_284 ),
inference(avatar_split_clause,[],[f2115,f2109,f1169,f1021,f3549,f1560]) ).
fof(f2115,plain,
( ~ v1_funct_1(sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK2) = k5_relat_1(sK1,sK2)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_144
| ~ spl26_284 ),
inference(resolution,[],[f2110,f1171]) ).
fof(f3535,plain,
( ~ spl26_205
| spl26_474
| ~ spl26_138
| ~ spl26_146
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2105,f2098,f1180,f1114,f3532,f1587]) ).
fof(f2105,plain,
( ~ v1_funct_1(sK2)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k5_relat_1(sK2,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_146
| ~ spl26_283 ),
inference(resolution,[],[f2099,f1182]) ).
fof(f3512,plain,
( ~ spl26_201
| spl26_473
| ~ spl26_121
| ~ spl26_144
| ~ spl26_283 ),
inference(avatar_split_clause,[],[f2104,f2098,f1169,f1021,f3509,f1560]) ).
fof(f2104,plain,
( ~ v1_funct_1(sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sK1) = k5_relat_1(sK1,sK1)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_144
| ~ spl26_283 ),
inference(resolution,[],[f2099,f1171]) ).
fof(f3497,plain,
( spl26_119
| spl26_472
| ~ spl26_94
| ~ spl26_259 ),
inference(avatar_split_clause,[],[f1969,f1964,f834,f3495,f1013]) ).
fof(f3495,plain,
( spl26_472
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| v1_partfun1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_472])]) ).
fof(f1969,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_partfun1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_94
| ~ spl26_259 ),
inference(resolution,[],[f1965,f835]) ).
fof(f3491,plain,
( ~ spl26_457
| spl26_471
| ~ spl26_99
| ~ spl26_279 ),
inference(avatar_split_clause,[],[f2124,f2079,f863,f3489,f3368]) ).
fof(f3489,plain,
( spl26_471
<=> ! [X0,X1] : k1_binop_1(u1_group_1(sK0),X0,X1) = k1_funct_1(u1_group_1(sK0),k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_471])]) ).
fof(f863,plain,
( spl26_99
<=> ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_99])]) ).
fof(f2124,plain,
( ! [X0,X1] :
( k1_binop_1(u1_group_1(sK0),X0,X1) = k1_funct_1(u1_group_1(sK0),k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(u1_group_1(sK0)) )
| ~ spl26_99
| ~ spl26_279 ),
inference(resolution,[],[f2080,f864]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(X0) )
| ~ spl26_99 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f3477,plain,
( spl26_119
| spl26_470
| ~ spl26_95
| ~ spl26_259 ),
inference(avatar_split_clause,[],[f1970,f1964,f838,f3475,f1013]) ).
fof(f838,plain,
( spl26_95
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_95])]) ).
fof(f1970,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_95
| ~ spl26_259 ),
inference(duplicate_literal_removal,[],[f1968]) ).
fof(f1968,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_95
| ~ spl26_259 ),
inference(resolution,[],[f1965,f839]) ).
fof(f839,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_95 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f3468,plain,
( spl26_253
| spl26_469
| ~ spl26_70
| ~ spl26_255 ),
inference(avatar_split_clause,[],[f1950,f1939,f681,f3466,f1930]) ).
fof(f1939,plain,
( spl26_255
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_255])]) ).
fof(f1950,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_70
| ~ spl26_255 ),
inference(resolution,[],[f1940,f682]) ).
fof(f1940,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ r2_hidden(X0,sK2) )
| ~ spl26_255 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f3455,plain,
( spl26_257
| ~ spl26_131
| ~ spl26_252 ),
inference(avatar_split_clause,[],[f3446,f1927,f1079,f1954]) ).
fof(f1954,plain,
( spl26_257
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_257])]) ).
fof(f1927,plain,
( spl26_252
<=> ! [X0] : ~ r2_hidden(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_252])]) ).
fof(f3446,plain,
( v1_xboole_0(sK1)
| ~ spl26_131
| ~ spl26_252 ),
inference(resolution,[],[f1928,f1080]) ).
fof(f1928,plain,
( ! [X0] : ~ r2_hidden(X0,sK1)
| ~ spl26_252 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f3444,plain,
( spl26_253
| spl26_468
| ~ spl26_70
| ~ spl26_254 ),
inference(avatar_split_clause,[],[f1947,f1935,f681,f3442,f1930]) ).
fof(f1935,plain,
( spl26_254
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_254])]) ).
fof(f1947,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_70
| ~ spl26_254 ),
inference(resolution,[],[f1936,f682]) ).
fof(f1936,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ r2_hidden(X0,sK1) )
| ~ spl26_254 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f3431,plain,
( spl26_467
| ~ spl26_176
| ~ spl26_260 ),
inference(avatar_split_clause,[],[f1975,f1972,f1397,f3429]) ).
fof(f3429,plain,
( spl26_467
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_467])]) ).
fof(f1397,plain,
( spl26_176
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_176])]) ).
fof(f1972,plain,
( spl26_260
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_260])]) ).
fof(f1975,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_176
| ~ spl26_260 ),
inference(resolution,[],[f1973,f1398]) ).
fof(f1398,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_176 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1973,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_260 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f3416,plain,
( spl26_119
| spl26_466
| ~ spl26_181
| ~ spl26_262 ),
inference(avatar_split_clause,[],[f2390,f1985,f1432,f3414,f1013]) ).
fof(f3414,plain,
( spl26_466
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_466])]) ).
fof(f1432,plain,
( spl26_181
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_181])]) ).
fof(f1985,plain,
( spl26_262
<=> m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_262])]) ).
fof(f2390,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) )
| ~ spl26_181
| ~ spl26_262 ),
inference(resolution,[],[f1986,f1433]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl26_181 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1986,plain,
( m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_262 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f3408,plain,
( spl26_119
| spl26_465
| ~ spl26_183
| ~ spl26_262 ),
inference(avatar_split_clause,[],[f2389,f1985,f1440,f3406,f1013]) ).
fof(f1440,plain,
( spl26_183
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_183])]) ).
fof(f2389,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) )
| ~ spl26_183
| ~ spl26_262 ),
inference(resolution,[],[f1986,f1441]) ).
fof(f1441,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl26_183 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f3404,plain,
( spl26_464
| ~ spl26_66
| ~ spl26_265 ),
inference(avatar_split_clause,[],[f2004,f2001,f654,f3402]) ).
fof(f3402,plain,
( spl26_464
<=> ! [X0,X1] : k1_binop_1(sK2,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_464])]) ).
fof(f2001,plain,
( spl26_265
<=> ! [X0,X1] : k1_binop_1(sK2,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_265])]) ).
fof(f2004,plain,
( ! [X0,X1] : k1_binop_1(sK2,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_265 ),
inference(superposition,[],[f2002,f655]) ).
fof(f2002,plain,
( ! [X0,X1] : k1_binop_1(sK2,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ spl26_265 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f3400,plain,
( spl26_463
| ~ spl26_66
| ~ spl26_264 ),
inference(avatar_split_clause,[],[f1998,f1995,f654,f3398]) ).
fof(f3398,plain,
( spl26_463
<=> ! [X0,X1] : k1_binop_1(sK1,X0,X1) = k1_funct_1(sK1,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_463])]) ).
fof(f1995,plain,
( spl26_264
<=> ! [X0,X1] : k1_binop_1(sK1,X0,X1) = k1_funct_1(sK1,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_264])]) ).
fof(f1998,plain,
( ! [X0,X1] : k1_binop_1(sK1,X0,X1) = k1_funct_1(sK1,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_264 ),
inference(superposition,[],[f1996,f655]) ).
fof(f1996,plain,
( ! [X0,X1] : k1_binop_1(sK1,X0,X1) = k1_funct_1(sK1,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ spl26_264 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f3396,plain,
( ~ spl26_5
| ~ spl26_279
| spl26_119
| ~ spl26_462
| spl26_253
| ~ spl26_329 ),
inference(avatar_split_clause,[],[f2450,f2437,f1930,f3393,f1013,f2079,f357]) ).
fof(f3393,plain,
( spl26_462
<=> v1_xboole_0(u1_group_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_462])]) ).
fof(f2450,plain,
( ~ v1_xboole_0(u1_group_1(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(u1_group_1(sK0))
| ~ l1_group_1(sK0)
| spl26_253
| ~ spl26_329 ),
inference(resolution,[],[f2438,f1932]) ).
fof(f1932,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| spl26_253 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f3388,plain,
( spl26_460
| spl26_461
| ~ spl26_251
| ~ spl26_290 ),
inference(avatar_split_clause,[],[f2181,f2155,f1918,f3385,f3381]) ).
fof(f3381,plain,
( spl26_460
<=> v1_funct_1(sK6(sK6(k1_zfmisc_1(k4_autgroup(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_460])]) ).
fof(f2181,plain,
( v1_xboole_0(sK6(k1_zfmisc_1(k4_autgroup(sK0))))
| v1_funct_1(sK6(sK6(k1_zfmisc_1(k4_autgroup(sK0)))))
| ~ spl26_251
| ~ spl26_290 ),
inference(resolution,[],[f2156,f1919]) ).
fof(f3379,plain,
( ~ spl26_458
| spl26_459
| ~ spl26_62
| ~ spl26_254 ),
inference(avatar_split_clause,[],[f1948,f1935,f637,f3377,f3373]) ).
fof(f3373,plain,
( spl26_458
<=> v1_fraenkel(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_458])]) ).
fof(f3377,plain,
( spl26_459
<=> ! [X0] :
( ~ r2_hidden(X0,sK1)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_459])]) ).
fof(f1948,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_62
| ~ spl26_254 ),
inference(resolution,[],[f1936,f638]) ).
fof(f3371,plain,
( spl26_457
| ~ spl26_137
| ~ spl26_456 ),
inference(avatar_split_clause,[],[f3365,f3358,f1103,f3368]) ).
fof(f3358,plain,
( spl26_456
<=> m2_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_456])]) ).
fof(f3365,plain,
( v1_relat_1(u1_group_1(sK0))
| ~ spl26_137
| ~ spl26_456 ),
inference(resolution,[],[f3360,f1104]) ).
fof(f3360,plain,
( m2_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_456 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f3361,plain,
( spl26_456
| ~ spl26_74
| ~ spl26_281 ),
inference(avatar_split_clause,[],[f2153,f2087,f697,f3358]) ).
fof(f2153,plain,
( m2_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_74
| ~ spl26_281 ),
inference(resolution,[],[f2088,f698]) ).
fof(f2088,plain,
( m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_281 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f3348,plain,
( spl26_455
| ~ spl26_110
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1854,f1826,f939,f3346]) ).
fof(f3346,plain,
( spl26_455
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_455])]) ).
fof(f939,plain,
( spl26_110
<=> ! [X4,X0,X3,X2,X1] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_110])]) ).
fof(f1826,plain,
( spl26_241
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_241])]) ).
fof(f1854,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_241 ),
inference(resolution,[],[f1827,f940]) ).
fof(f940,plain,
( ! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_110 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1827,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_241 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f3344,plain,
( spl26_454
| ~ spl26_110
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1846,f1822,f939,f3342]) ).
fof(f3342,plain,
( spl26_454
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_454])]) ).
fof(f1822,plain,
( spl26_240
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_240])]) ).
fof(f1846,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_240 ),
inference(resolution,[],[f1823,f940]) ).
fof(f1823,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_240 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f3340,plain,
( spl26_453
| ~ spl26_110
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1838,f1818,f939,f3338]) ).
fof(f3338,plain,
( spl26_453
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_453])]) ).
fof(f1818,plain,
( spl26_239
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_239])]) ).
fof(f1838,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_239 ),
inference(resolution,[],[f1819,f940]) ).
fof(f1819,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_239 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f3334,plain,
( spl26_452
| ~ spl26_110
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1830,f1814,f939,f3332]) ).
fof(f3332,plain,
( spl26_452
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_452])]) ).
fof(f1814,plain,
( spl26_238
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_238])]) ).
fof(f1830,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_238 ),
inference(resolution,[],[f1815,f940]) ).
fof(f1815,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_238 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f3326,plain,
( spl26_451
| ~ spl26_110
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1796,f1784,f939,f3324]) ).
fof(f3324,plain,
( spl26_451
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_451])]) ).
fof(f1784,plain,
( spl26_235
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_235])]) ).
fof(f1796,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_235 ),
inference(resolution,[],[f1785,f940]) ).
fof(f1785,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_235 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f3322,plain,
( spl26_450
| ~ spl26_110
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1788,f1780,f939,f3320]) ).
fof(f3320,plain,
( spl26_450
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_450])]) ).
fof(f1780,plain,
( spl26_234
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_234])]) ).
fof(f1788,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_234 ),
inference(resolution,[],[f1781,f940]) ).
fof(f1781,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_234 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f3314,plain,
( spl26_449
| ~ spl26_110
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1755,f1743,f939,f3312]) ).
fof(f3312,plain,
( spl26_449
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_449])]) ).
fof(f1743,plain,
( spl26_230
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_230])]) ).
fof(f1755,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_230 ),
inference(resolution,[],[f1744,f940]) ).
fof(f1744,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_230 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f3310,plain,
( spl26_448
| ~ spl26_110
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1747,f1739,f939,f3308]) ).
fof(f3308,plain,
( spl26_448
<=> ! [X0,X3,X2,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_448])]) ).
fof(f1739,plain,
( spl26_229
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_229])]) ).
fof(f1747,plain,
( ! [X2,X3,X0,X1] :
( k2_autgroup(X0) = k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)
| ~ v1_funct_2(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,k7_funct_2(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1,k1_autgroup(X0),X2,X3)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X3,X1,k1_autgroup(X0))
| ~ v1_funct_2(X3,X1,k1_autgroup(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_229 ),
inference(resolution,[],[f1740,f940]) ).
fof(f1740,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_229 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f3290,plain,
( spl26_447
| ~ spl26_41
| ~ spl26_437 ),
inference(avatar_split_clause,[],[f3251,f3219,f534,f3287]) ).
fof(f3287,plain,
( spl26_447
<=> v1_funct_1(sK6(k1_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_447])]) ).
fof(f3219,plain,
( spl26_437
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_437])]) ).
fof(f3251,plain,
( v1_funct_1(sK6(k1_autgroup(sK0)))
| ~ spl26_41
| ~ spl26_437 ),
inference(resolution,[],[f3220,f535]) ).
fof(f3220,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_funct_1(X0) )
| ~ spl26_437 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f3285,plain,
( spl26_446
| ~ spl26_220
| ~ spl26_225 ),
inference(avatar_split_clause,[],[f1718,f1715,f1681,f3283]) ).
fof(f3283,plain,
( spl26_446
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(k2_binop_1(X5,X6,k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7),X8,X9,X10),X4)
| ~ m1_subset_1(X7,X3)
| ~ m1_subset_1(X9,X5)
| ~ m1_relset_1(X8,k2_zfmisc_1(X5,X6),k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ v1_funct_2(X8,k2_zfmisc_1(X5,X6),k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ v1_funct_1(X8)
| v1_xboole_0(X6)
| v1_xboole_0(X5)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ m1_subset_1(X10,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_446])]) ).
fof(f1681,plain,
( spl26_220
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X5)
| r2_hidden(k2_binop_1(X3,X1,X5,X4,X2,X0),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_220])]) ).
fof(f1715,plain,
( spl26_225
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| m1_subset_1(X6,X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_225])]) ).
fof(f1718,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(k2_binop_1(X5,X6,k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7),X8,X9,X10),X4)
| ~ m1_subset_1(X7,X3)
| ~ m1_subset_1(X9,X5)
| ~ m1_relset_1(X8,k2_zfmisc_1(X5,X6),k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ v1_funct_2(X8,k2_zfmisc_1(X5,X6),k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ v1_funct_1(X8)
| v1_xboole_0(X6)
| v1_xboole_0(X5)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X7))
| ~ m1_subset_1(X10,X6) )
| ~ spl26_220
| ~ spl26_225 ),
inference(resolution,[],[f1716,f1682]) ).
fof(f1682,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k2_binop_1(X3,X1,X5,X4,X2,X0),X5)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X5)
| ~ m1_subset_1(X0,X1) )
| ~ spl26_220 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1716,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0))
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| m1_subset_1(X6,X5)
| ~ m1_subset_1(X0,X1) )
| ~ spl26_225 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f3273,plain,
( spl26_445
| ~ spl26_182
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1859,f1826,f1436,f3271]) ).
fof(f3271,plain,
( spl26_445
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_445])]) ).
fof(f1436,plain,
( spl26_182
<=> ! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_182])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_241 ),
inference(resolution,[],[f1827,f1437]) ).
fof(f1437,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_182 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f3269,plain,
( spl26_444
| ~ spl26_182
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1851,f1822,f1436,f3267]) ).
fof(f3267,plain,
( spl26_444
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_444])]) ).
fof(f1851,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_240 ),
inference(resolution,[],[f1823,f1437]) ).
fof(f3265,plain,
( spl26_443
| ~ spl26_182
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1843,f1818,f1436,f3263]) ).
fof(f3263,plain,
( spl26_443
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_443])]) ).
fof(f1843,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_239 ),
inference(resolution,[],[f1819,f1437]) ).
fof(f3261,plain,
( spl26_442
| ~ spl26_182
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1835,f1814,f1436,f3259]) ).
fof(f3259,plain,
( spl26_442
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_442])]) ).
fof(f1835,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_238 ),
inference(resolution,[],[f1815,f1437]) ).
fof(f3244,plain,
( spl26_441
| ~ spl26_182
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1801,f1784,f1436,f3242]) ).
fof(f3242,plain,
( spl26_441
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_441])]) ).
fof(f1801,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_235 ),
inference(resolution,[],[f1785,f1437]) ).
fof(f3240,plain,
( spl26_440
| ~ spl26_182
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1793,f1780,f1436,f3238]) ).
fof(f3238,plain,
( spl26_440
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_440])]) ).
fof(f1793,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_234 ),
inference(resolution,[],[f1781,f1437]) ).
fof(f3232,plain,
( spl26_439
| ~ spl26_182
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1760,f1743,f1436,f3230]) ).
fof(f3230,plain,
( spl26_439
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_439])]) ).
fof(f1760,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_230 ),
inference(resolution,[],[f1744,f1437]) ).
fof(f3228,plain,
( spl26_438
| ~ spl26_182
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1752,f1739,f1436,f3226]) ).
fof(f3226,plain,
( spl26_438
<=> ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_438])]) ).
fof(f1752,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)
| ~ v1_funct_2(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK12(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X1)))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_182
| ~ spl26_229 ),
inference(resolution,[],[f1740,f1437]) ).
fof(f3221,plain,
( spl26_119
| spl26_437
| ~ spl26_174
| ~ spl26_262 ),
inference(avatar_split_clause,[],[f2391,f1985,f1376,f3219,f1013]) ).
fof(f1376,plain,
( spl26_174
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_174])]) ).
fof(f2391,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_funct_1(X0) )
| ~ spl26_174
| ~ spl26_262 ),
inference(resolution,[],[f1986,f1377]) ).
fof(f1377,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl26_174 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f3212,plain,
( ~ spl26_368
| ~ spl26_369
| ~ spl26_370
| spl26_436
| ~ spl26_105
| ~ spl26_168 ),
inference(avatar_split_clause,[],[f1350,f1343,f912,f3210,f2751,f2747,f2743]) ).
fof(f2747,plain,
( spl26_369
<=> v1_funct_2(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_369])]) ).
fof(f3210,plain,
( spl26_436
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_struct_0(sK21) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_436])]) ).
fof(f912,plain,
( spl26_105
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_105])]) ).
fof(f1350,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u1_group_1(sK21)) )
| ~ spl26_105
| ~ spl26_168 ),
inference(superposition,[],[f913,f1345]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_105 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f3192,plain,
( ~ spl26_25
| ~ spl26_82
| spl26_369 ),
inference(avatar_split_clause,[],[f2759,f2747,f760,f457]) ).
fof(f760,plain,
( spl26_82
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_82])]) ).
fof(f2759,plain,
( ~ l1_group_1(sK21)
| ~ spl26_82
| spl26_369 ),
inference(resolution,[],[f2749,f761]) ).
fof(f761,plain,
( ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_82 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f2749,plain,
( ~ v1_funct_2(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl26_369 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f3189,plain,
( spl26_435
| ~ spl26_213
| ~ spl26_250 ),
inference(avatar_split_clause,[],[f1916,f1912,f1632,f3187]) ).
fof(f3187,plain,
( spl26_435
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X1,X3,X4,k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7))
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X7,X5,X4)
| ~ v1_funct_2(X7,X5,X4)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_435])]) ).
fof(f1632,plain,
( spl26_213
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_213])]) ).
fof(f1912,plain,
( spl26_250
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),k2_zfmisc_1(X3,X1),X5)
| k2_binop_1(X3,X1,X5,k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7))
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ m1_relset_1(X7,X4,X5)
| ~ v1_funct_2(X7,X4,X5)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_1(X6)
| v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_250])]) ).
fof(f1916,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X1,X3,X4,k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7))
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X7,X5,X4)
| ~ v1_funct_2(X7,X5,X4)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5) )
| ~ spl26_213
| ~ spl26_250 ),
inference(duplicate_literal_removal,[],[f1915]) ).
fof(f1915,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X1,X3,X4,k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7),X0,X2)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X1,X3),X5,X4,X6,X7))
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X7,X5,X4)
| ~ v1_funct_2(X7,X5,X4)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5)
| ~ v1_funct_2(X7,X5,X4)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X3),X5)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5)
| ~ m1_relset_1(X7,X5,X4) )
| ~ spl26_213
| ~ spl26_250 ),
inference(resolution,[],[f1913,f1633]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1913,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),k2_zfmisc_1(X3,X1),X5)
| ~ m1_subset_1(X2,X3)
| ~ m1_subset_1(X0,X1)
| k2_binop_1(X3,X1,X5,k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7))
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ m1_relset_1(X7,X4,X5)
| ~ v1_funct_2(X7,X4,X5)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_1(X6)
| v1_xboole_0(X4) )
| ~ spl26_250 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f3184,plain,
( ~ spl26_25
| ~ spl26_178
| spl26_370 ),
inference(avatar_split_clause,[],[f2760,f2751,f1405,f457]) ).
fof(f1405,plain,
( spl26_178
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_178])]) ).
fof(f2760,plain,
( ~ l1_group_1(sK21)
| ~ spl26_178
| spl26_370 ),
inference(resolution,[],[f2753,f1406]) ).
fof(f1406,plain,
( ! [X0] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_178 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f2753,plain,
( ~ m1_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl26_370 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f3183,plain,
( spl26_434
| ~ spl26_136
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1858,f1826,f1099,f3181]) ).
fof(f3181,plain,
( spl26_434
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_434])]) ).
fof(f1099,plain,
( spl26_136
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_136])]) ).
fof(f1858,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_241 ),
inference(resolution,[],[f1827,f1100]) ).
fof(f1100,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl26_136 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f3179,plain,
( spl26_433
| ~ spl26_135
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1857,f1826,f1095,f3177]) ).
fof(f3177,plain,
( spl26_433
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_433])]) ).
fof(f1095,plain,
( spl26_135
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_135])]) ).
fof(f1857,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_241 ),
inference(resolution,[],[f1827,f1096]) ).
fof(f1096,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl26_135 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f3175,plain,
( spl26_432
| ~ spl26_54
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1856,f1826,f602,f3173]) ).
fof(f3173,plain,
( spl26_432
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_432])]) ).
fof(f602,plain,
( spl26_54
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_54])]) ).
fof(f1856,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_241 ),
inference(resolution,[],[f1827,f603]) ).
fof(f603,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl26_54 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f3171,plain,
( spl26_431
| ~ spl26_134
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f1855,f1826,f1091,f3169]) ).
fof(f3169,plain,
( spl26_431
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_431])]) ).
fof(f1091,plain,
( spl26_134
<=> ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_134])]) ).
fof(f1855,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_241 ),
inference(resolution,[],[f1827,f1092]) ).
fof(f1092,plain,
( ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1)
| ~ spl26_134 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f3167,plain,
( spl26_430
| ~ spl26_136
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1850,f1822,f1099,f3165]) ).
fof(f3165,plain,
( spl26_430
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_430])]) ).
fof(f1850,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_240 ),
inference(resolution,[],[f1823,f1100]) ).
fof(f3163,plain,
( spl26_429
| ~ spl26_135
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1849,f1822,f1095,f3161]) ).
fof(f3161,plain,
( spl26_429
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_429])]) ).
fof(f1849,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_240 ),
inference(resolution,[],[f1823,f1096]) ).
fof(f3159,plain,
( spl26_428
| ~ spl26_54
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1848,f1822,f602,f3157]) ).
fof(f3157,plain,
( spl26_428
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_428])]) ).
fof(f1848,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_240 ),
inference(resolution,[],[f1823,f603]) ).
fof(f3155,plain,
( spl26_427
| ~ spl26_134
| ~ spl26_240 ),
inference(avatar_split_clause,[],[f1847,f1822,f1091,f3153]) ).
fof(f3153,plain,
( spl26_427
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_427])]) ).
fof(f1847,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_240 ),
inference(resolution,[],[f1823,f1092]) ).
fof(f3151,plain,
( spl26_426
| ~ spl26_136
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1842,f1818,f1099,f3149]) ).
fof(f3149,plain,
( spl26_426
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_426])]) ).
fof(f1842,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_239 ),
inference(resolution,[],[f1819,f1100]) ).
fof(f3145,plain,
( ~ spl26_25
| ~ spl26_47
| spl26_368 ),
inference(avatar_split_clause,[],[f2758,f2743,f568,f457]) ).
fof(f568,plain,
( spl26_47
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).
fof(f2758,plain,
( ~ l1_group_1(sK21)
| ~ spl26_47
| spl26_368 ),
inference(resolution,[],[f2745,f569]) ).
fof(f569,plain,
( ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_47 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f2745,plain,
( ~ v1_funct_1(u1_group_1(sK21))
| spl26_368 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f3144,plain,
( spl26_425
| ~ spl26_135
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1841,f1818,f1095,f3142]) ).
fof(f3142,plain,
( spl26_425
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_425])]) ).
fof(f1841,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_239 ),
inference(resolution,[],[f1819,f1096]) ).
fof(f3140,plain,
( spl26_424
| ~ spl26_54
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1840,f1818,f602,f3138]) ).
fof(f3138,plain,
( spl26_424
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_424])]) ).
fof(f1840,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_239 ),
inference(resolution,[],[f1819,f603]) ).
fof(f3136,plain,
( spl26_423
| ~ spl26_134
| ~ spl26_239 ),
inference(avatar_split_clause,[],[f1839,f1818,f1091,f3134]) ).
fof(f3134,plain,
( spl26_423
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_423])]) ).
fof(f1839,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_239 ),
inference(resolution,[],[f1819,f1092]) ).
fof(f3132,plain,
( spl26_422
| ~ spl26_136
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1834,f1814,f1099,f3130]) ).
fof(f3130,plain,
( spl26_422
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_422])]) ).
fof(f1834,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_238 ),
inference(resolution,[],[f1815,f1100]) ).
fof(f3128,plain,
( spl26_421
| ~ spl26_135
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1833,f1814,f1095,f3126]) ).
fof(f3126,plain,
( spl26_421
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_421])]) ).
fof(f1833,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_238 ),
inference(resolution,[],[f1815,f1096]) ).
fof(f3124,plain,
( spl26_420
| ~ spl26_54
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1832,f1814,f602,f3122]) ).
fof(f3122,plain,
( spl26_420
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_420])]) ).
fof(f1832,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_238 ),
inference(resolution,[],[f1815,f603]) ).
fof(f3116,plain,
( ~ spl26_364
| ~ spl26_365
| ~ spl26_366
| spl26_419
| ~ spl26_105
| ~ spl26_167 ),
inference(avatar_split_clause,[],[f1341,f1334,f912,f3114,f2732,f2728,f2724]) ).
fof(f2724,plain,
( spl26_364
<=> v1_funct_1(u1_group_1(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_364])]) ).
fof(f2728,plain,
( spl26_365
<=> v1_funct_2(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_365])]) ).
fof(f3114,plain,
( spl26_419
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_struct_0(sK20) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_419])]) ).
fof(f1334,plain,
( spl26_167
<=> sK20 = g1_group_1(u1_struct_0(sK20),u1_group_1(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_167])]) ).
fof(f1341,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_struct_0(sK20) = X0
| ~ m1_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ v1_funct_2(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ v1_funct_1(u1_group_1(sK20)) )
| ~ spl26_105
| ~ spl26_167 ),
inference(superposition,[],[f913,f1336]) ).
fof(f1336,plain,
( sK20 = g1_group_1(u1_struct_0(sK20),u1_group_1(sK20))
| ~ spl26_167 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f3096,plain,
( ~ spl26_20
| ~ spl26_82
| spl26_365 ),
inference(avatar_split_clause,[],[f2740,f2728,f760,f432]) ).
fof(f432,plain,
( spl26_20
<=> l1_group_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f2740,plain,
( ~ l1_group_1(sK20)
| ~ spl26_82
| spl26_365 ),
inference(resolution,[],[f2730,f761]) ).
fof(f2730,plain,
( ~ v1_funct_2(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| spl26_365 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f3095,plain,
( spl26_418
| ~ spl26_134
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f1831,f1814,f1091,f3093]) ).
fof(f3093,plain,
( spl26_418
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_418])]) ).
fof(f1831,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_238 ),
inference(resolution,[],[f1815,f1092]) ).
fof(f3088,plain,
( ~ spl26_20
| ~ spl26_178
| spl26_366 ),
inference(avatar_split_clause,[],[f2741,f2732,f1405,f432]) ).
fof(f2741,plain,
( ~ l1_group_1(sK20)
| ~ spl26_178
| spl26_366 ),
inference(resolution,[],[f2734,f1406]) ).
fof(f2734,plain,
( ~ m1_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| spl26_366 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f3087,plain,
( spl26_417
| ~ spl26_136
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1800,f1784,f1099,f3085]) ).
fof(f3085,plain,
( spl26_417
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_417])]) ).
fof(f1800,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_235 ),
inference(resolution,[],[f1785,f1100]) ).
fof(f3083,plain,
( spl26_416
| ~ spl26_135
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1799,f1784,f1095,f3081]) ).
fof(f3081,plain,
( spl26_416
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_416])]) ).
fof(f1799,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_235 ),
inference(resolution,[],[f1785,f1096]) ).
fof(f3079,plain,
( spl26_415
| ~ spl26_54
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1798,f1784,f602,f3077]) ).
fof(f3077,plain,
( spl26_415
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_415])]) ).
fof(f1798,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_235 ),
inference(resolution,[],[f1785,f603]) ).
fof(f3075,plain,
( spl26_414
| ~ spl26_134
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f1797,f1784,f1091,f3073]) ).
fof(f3073,plain,
( spl26_414
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_414])]) ).
fof(f1797,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_235 ),
inference(resolution,[],[f1785,f1092]) ).
fof(f3071,plain,
( spl26_413
| ~ spl26_136
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1792,f1780,f1099,f3069]) ).
fof(f3069,plain,
( spl26_413
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_413])]) ).
fof(f1792,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_234 ),
inference(resolution,[],[f1781,f1100]) ).
fof(f3067,plain,
( spl26_412
| ~ spl26_135
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1791,f1780,f1095,f3065]) ).
fof(f3065,plain,
( spl26_412
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_412])]) ).
fof(f1791,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_234 ),
inference(resolution,[],[f1781,f1096]) ).
fof(f3063,plain,
( spl26_411
| ~ spl26_54
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1790,f1780,f602,f3061]) ).
fof(f3061,plain,
( spl26_411
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_411])]) ).
fof(f1790,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_234 ),
inference(resolution,[],[f1781,f603]) ).
fof(f3059,plain,
( spl26_410
| ~ spl26_134
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f1789,f1780,f1091,f3057]) ).
fof(f3057,plain,
( spl26_410
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_410])]) ).
fof(f1789,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_234 ),
inference(resolution,[],[f1781,f1092]) ).
fof(f3052,plain,
( ~ spl26_20
| ~ spl26_47
| spl26_364 ),
inference(avatar_split_clause,[],[f2739,f2724,f568,f432]) ).
fof(f2739,plain,
( ~ l1_group_1(sK20)
| ~ spl26_47
| spl26_364 ),
inference(resolution,[],[f2726,f569]) ).
fof(f2726,plain,
( ~ v1_funct_1(u1_group_1(sK20))
| spl26_364 ),
inference(avatar_component_clause,[],[f2724]) ).
fof(f3046,plain,
( ~ spl26_360
| ~ spl26_361
| ~ spl26_362
| spl26_409
| ~ spl26_105
| ~ spl26_166 ),
inference(avatar_split_clause,[],[f1332,f1325,f912,f3044,f2713,f2709,f2705]) ).
fof(f2705,plain,
( spl26_360
<=> v1_funct_1(u1_group_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_360])]) ).
fof(f2709,plain,
( spl26_361
<=> v1_funct_2(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_361])]) ).
fof(f3044,plain,
( spl26_409
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_struct_0(sK19) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_409])]) ).
fof(f1325,plain,
( spl26_166
<=> sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_166])]) ).
fof(f1332,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_struct_0(sK19) = X0
| ~ m1_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ v1_funct_2(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ v1_funct_1(u1_group_1(sK19)) )
| ~ spl26_105
| ~ spl26_166 ),
inference(superposition,[],[f913,f1327]) ).
fof(f1327,plain,
( sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19))
| ~ spl26_166 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f3026,plain,
( ~ spl26_17
| ~ spl26_82
| spl26_361 ),
inference(avatar_split_clause,[],[f2721,f2709,f760,f417]) ).
fof(f417,plain,
( spl26_17
<=> l1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f2721,plain,
( ~ l1_group_1(sK19)
| ~ spl26_82
| spl26_361 ),
inference(resolution,[],[f2711,f761]) ).
fof(f2711,plain,
( ~ v1_funct_2(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| spl26_361 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f3025,plain,
( spl26_408
| ~ spl26_136
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1759,f1743,f1099,f3023]) ).
fof(f3023,plain,
( spl26_408
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_408])]) ).
fof(f1759,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_230 ),
inference(resolution,[],[f1744,f1100]) ).
fof(f3021,plain,
( spl26_407
| ~ spl26_135
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1758,f1743,f1095,f3019]) ).
fof(f3019,plain,
( spl26_407
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_407])]) ).
fof(f1758,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_230 ),
inference(resolution,[],[f1744,f1096]) ).
fof(f3017,plain,
( spl26_406
| ~ spl26_54
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1757,f1743,f602,f3015]) ).
fof(f3015,plain,
( spl26_406
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_406])]) ).
fof(f1757,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_230 ),
inference(resolution,[],[f1744,f603]) ).
fof(f3013,plain,
( spl26_405
| ~ spl26_134
| ~ spl26_230 ),
inference(avatar_split_clause,[],[f1756,f1743,f1091,f3011]) ).
fof(f3011,plain,
( spl26_405
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_405])]) ).
fof(f1756,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_230 ),
inference(resolution,[],[f1744,f1092]) ).
fof(f3009,plain,
( spl26_404
| ~ spl26_136
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1751,f1739,f1099,f3007]) ).
fof(f3007,plain,
( spl26_404
<=> ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_404])]) ).
fof(f1751,plain,
( ! [X0] :
( k2_autgroup(X0) = sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK11(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_136
| ~ spl26_229 ),
inference(resolution,[],[f1740,f1100]) ).
fof(f3005,plain,
( spl26_403
| ~ spl26_135
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1750,f1739,f1095,f3003]) ).
fof(f3003,plain,
( spl26_403
<=> ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_403])]) ).
fof(f1750,plain,
( ! [X0] :
( k2_autgroup(X0) = sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK10(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_135
| ~ spl26_229 ),
inference(resolution,[],[f1740,f1096]) ).
fof(f3001,plain,
( spl26_402
| ~ spl26_54
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1749,f1739,f602,f2999]) ).
fof(f2999,plain,
( spl26_402
<=> ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_402])]) ).
fof(f1749,plain,
( ! [X0] :
( k2_autgroup(X0) = sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK9(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_54
| ~ spl26_229 ),
inference(resolution,[],[f1740,f603]) ).
fof(f2997,plain,
( spl26_401
| ~ spl26_134
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1748,f1739,f1091,f2995]) ).
fof(f2995,plain,
( spl26_401
<=> ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_401])]) ).
fof(f1748,plain,
( ! [X0] :
( k2_autgroup(X0) = sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,sK8(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_134
| ~ spl26_229 ),
inference(resolution,[],[f1740,f1092]) ).
fof(f2992,plain,
( ~ spl26_17
| ~ spl26_178
| spl26_362 ),
inference(avatar_split_clause,[],[f2722,f2713,f1405,f417]) ).
fof(f2722,plain,
( ~ l1_group_1(sK19)
| ~ spl26_178
| spl26_362 ),
inference(resolution,[],[f2715,f1406]) ).
fof(f2715,plain,
( ~ m1_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| spl26_362 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f2989,plain,
( spl26_400
| ~ spl26_213
| ~ spl26_249 ),
inference(avatar_split_clause,[],[f1910,f1906,f1632,f2987]) ).
fof(f2987,plain,
( spl26_400
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k7_funct_2(X0,X1,X2,X3,k7_funct_2(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k7_funct_2(X1,X4,X2,X5,X6))
| ~ v1_funct_1(k7_funct_2(X1,X4,X2,X5,X6))
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X6,X4,X2)
| ~ v1_funct_2(X6,X4,X2)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X4)
| ~ v1_funct_2(X5,X1,X4)
| ~ v1_funct_1(X5)
| v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_400])]) ).
fof(f1906,plain,
( spl26_249
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| k7_funct_2(X5,X0,X2,X6,k7_funct_2(X0,X1,X2,X3,X4)) = k5_relat_1(X6,k7_funct_2(X0,X1,X2,X3,X4))
| ~ v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X6,X5,X0)
| ~ v1_funct_2(X6,X5,X0)
| ~ v1_funct_1(X6)
| v1_xboole_0(X0)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_249])]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k7_funct_2(X0,X1,X2,X3,k7_funct_2(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k7_funct_2(X1,X4,X2,X5,X6))
| ~ v1_funct_1(k7_funct_2(X1,X4,X2,X5,X6))
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X6,X4,X2)
| ~ v1_funct_2(X6,X4,X2)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X4)
| ~ v1_funct_2(X5,X1,X4)
| ~ v1_funct_1(X5)
| v1_xboole_0(X4) )
| ~ spl26_213
| ~ spl26_249 ),
inference(duplicate_literal_removal,[],[f1909]) ).
fof(f1909,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k7_funct_2(X0,X1,X2,X3,k7_funct_2(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k7_funct_2(X1,X4,X2,X5,X6))
| ~ v1_funct_1(k7_funct_2(X1,X4,X2,X5,X6))
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X6,X4,X2)
| ~ v1_funct_2(X6,X4,X2)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X4)
| ~ v1_funct_2(X5,X1,X4)
| ~ v1_funct_1(X5)
| v1_xboole_0(X4)
| ~ v1_funct_2(X6,X4,X2)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X4)
| ~ v1_funct_2(X5,X1,X4)
| ~ v1_funct_1(X5)
| v1_xboole_0(X4)
| ~ m1_relset_1(X6,X4,X2) )
| ~ spl26_213
| ~ spl26_249 ),
inference(resolution,[],[f1907,f1633]) ).
fof(f1907,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| k7_funct_2(X5,X0,X2,X6,k7_funct_2(X0,X1,X2,X3,X4)) = k5_relat_1(X6,k7_funct_2(X0,X1,X2,X3,X4))
| ~ v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X6,X5,X0)
| ~ v1_funct_2(X6,X5,X0)
| ~ v1_funct_1(X6)
| v1_xboole_0(X0)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_249 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f2981,plain,
( spl26_399
| ~ spl26_99
| ~ spl26_217 ),
inference(avatar_split_clause,[],[f1675,f1660,f863,f2979]) ).
fof(f2979,plain,
( spl26_399
<=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X5,X3)
| ~ v1_fraenkel(X4)
| k1_binop_1(k2_binop_1(X1,X3,X4,X2,X0,X5),X6,X7) = k1_funct_1(k2_binop_1(X1,X3,X4,X2,X0,X5),k2_tarski(k1_tarski(X6),k2_tarski(X6,X7)))
| ~ v1_relat_1(k2_binop_1(X1,X3,X4,X2,X0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_399])]) ).
fof(f1660,plain,
( spl26_217
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_funct_1(k2_binop_1(X3,X1,X5,X4,X2,X0))
| ~ v1_fraenkel(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_217])]) ).
fof(f1675,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X5,X3)
| ~ v1_fraenkel(X4)
| k1_binop_1(k2_binop_1(X1,X3,X4,X2,X0,X5),X6,X7) = k1_funct_1(k2_binop_1(X1,X3,X4,X2,X0,X5),k2_tarski(k1_tarski(X6),k2_tarski(X6,X7)))
| ~ v1_relat_1(k2_binop_1(X1,X3,X4,X2,X0,X5)) )
| ~ spl26_99
| ~ spl26_217 ),
inference(resolution,[],[f1661,f864]) ).
fof(f1661,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( v1_funct_1(k2_binop_1(X3,X1,X5,X4,X2,X0))
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(X0,X1)
| ~ v1_fraenkel(X5) )
| ~ spl26_217 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f2975,plain,
( spl26_398
| ~ spl26_113
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1465,f1428,f968,f2973]) ).
fof(f2973,plain,
( spl26_398
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X2),X3)
| v1_xboole_0(X3)
| ~ m1_subset_1(X4,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X2),X3,X0),k2_zfmisc_1(X1,X2),X3)
| k2_binop_1(X1,X2,X3,sK12(k2_zfmisc_1(X1,X2),X3,X0),X5,X4) = k1_binop_1(sK12(k2_zfmisc_1(X1,X2),X3,X0),X5,X4)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X2),X3,X0))
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_398])]) ).
fof(f1465,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X2),X3)
| v1_xboole_0(X3)
| ~ m1_subset_1(X4,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X2),X3,X0),k2_zfmisc_1(X1,X2),X3)
| k2_binop_1(X1,X2,X3,sK12(k2_zfmisc_1(X1,X2),X3,X0),X5,X4) = k1_binop_1(sK12(k2_zfmisc_1(X1,X2),X3,X0),X5,X4)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X2),X3,X0))
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl26_113
| ~ spl26_180 ),
inference(resolution,[],[f1429,f969]) ).
fof(f2967,plain,
( spl26_397
| ~ spl26_196
| ~ spl26_248 ),
inference(avatar_split_clause,[],[f1901,f1897,f1539,f2965]) ).
fof(f2965,plain,
( spl26_397
<=> ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1),X2,k2_autgroup(X1)) = k5_relat_1(X2,k2_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_397])]) ).
fof(f1539,plain,
( spl26_196
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_196])]) ).
fof(f1897,plain,
( spl26_248
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k7_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X2,k2_autgroup(X0)) = k5_relat_1(X2,k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_248])]) ).
fof(f1901,plain,
( ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1),X2,k2_autgroup(X1)) = k5_relat_1(X2,k2_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_196
| ~ spl26_248 ),
inference(duplicate_literal_removal,[],[f1900]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1),X2,k2_autgroup(X1)) = k5_relat_1(X2,k2_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1) )
| ~ spl26_196
| ~ spl26_248 ),
inference(resolution,[],[f1898,f1540]) ).
fof(f1540,plain,
( ! [X0] :
( m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1898,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k7_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X2,k2_autgroup(X0)) = k5_relat_1(X2,k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_248 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f2949,plain,
( ~ spl26_17
| ~ spl26_47
| spl26_360 ),
inference(avatar_split_clause,[],[f2720,f2705,f568,f417]) ).
fof(f2720,plain,
( ~ l1_group_1(sK19)
| ~ spl26_47
| spl26_360 ),
inference(resolution,[],[f2707,f569]) ).
fof(f2707,plain,
( ~ v1_funct_1(u1_group_1(sK19))
| spl26_360 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2948,plain,
( spl26_396
| ~ spl26_102
| ~ spl26_246 ),
inference(avatar_split_clause,[],[f1889,f1885,f892,f2946]) ).
fof(f892,plain,
( spl26_102
<=> ! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_102])]) ).
fof(f1885,plain,
( spl26_246
<=> ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2)
| ~ v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_246])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X0)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_102
| ~ spl26_246 ),
inference(duplicate_literal_removal,[],[f1888]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X0)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_102
| ~ spl26_246 ),
inference(resolution,[],[f1886,f893]) ).
fof(f893,plain,
( ! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_102 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1886,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_246 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f2944,plain,
( spl26_395
| ~ spl26_213
| ~ spl26_247 ),
inference(avatar_split_clause,[],[f1895,f1891,f1632,f2942]) ).
fof(f2942,plain,
( spl26_395
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_395])]) ).
fof(f1891,plain,
( spl26_247
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_247])]) ).
fof(f1895,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2) )
| ~ spl26_213
| ~ spl26_247 ),
inference(duplicate_literal_removal,[],[f1894]) ).
fof(f1894,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213
| ~ spl26_247 ),
inference(resolution,[],[f1892,f1633]) ).
fof(f1892,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2) )
| ~ spl26_247 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f2917,plain,
( spl26_394
| ~ spl26_213
| ~ spl26_245 ),
inference(avatar_split_clause,[],[f1883,f1877,f1632,f2915]) ).
fof(f2915,plain,
( spl26_394
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_394])]) ).
fof(f1877,plain,
( spl26_245
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_245])]) ).
fof(f1883,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_213
| ~ spl26_245 ),
inference(duplicate_literal_removal,[],[f1882]) ).
fof(f1882,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213
| ~ spl26_245 ),
inference(resolution,[],[f1878,f1633]) ).
fof(f1878,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_245 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f2913,plain,
( spl26_393
| ~ spl26_213
| ~ spl26_244 ),
inference(avatar_split_clause,[],[f1881,f1873,f1632,f2911]) ).
fof(f2911,plain,
( spl26_393
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_393])]) ).
fof(f1873,plain,
( spl26_244
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_244])]) ).
fof(f1881,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_213
| ~ spl26_244 ),
inference(duplicate_literal_removal,[],[f1880]) ).
fof(f1880,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213
| ~ spl26_244 ),
inference(resolution,[],[f1874,f1633]) ).
fof(f1874,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_244 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f2909,plain,
( spl26_392
| ~ spl26_178
| ~ spl26_242 ),
inference(avatar_split_clause,[],[f1866,f1862,f1405,f2907]) ).
fof(f2907,plain,
( spl26_392
<=> ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1),X2,u1_group_1(X1)) = k5_relat_1(X2,u1_group_1(X1))
| ~ v1_funct_1(u1_group_1(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_392])]) ).
fof(f1862,plain,
( spl26_242
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| k7_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),X2,u1_group_1(X0)) = k5_relat_1(X2,u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_242])]) ).
fof(f1866,plain,
( ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1),X2,u1_group_1(X1)) = k5_relat_1(X2,u1_group_1(X1))
| ~ v1_funct_1(u1_group_1(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_group_1(X1) )
| ~ spl26_178
| ~ spl26_242 ),
inference(duplicate_literal_removal,[],[f1865]) ).
fof(f1865,plain,
( ! [X2,X0,X1] :
( k7_funct_2(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1),X2,u1_group_1(X1)) = k5_relat_1(X2,u1_group_1(X1))
| ~ v1_funct_1(u1_group_1(X1))
| ~ m1_relset_1(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_2(X2,X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ l1_group_1(X1) )
| ~ spl26_178
| ~ spl26_242 ),
inference(resolution,[],[f1863,f1406]) ).
fof(f1863,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| k7_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),X2,u1_group_1(X0)) = k5_relat_1(X2,u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl26_242 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f2905,plain,
( spl26_391
| ~ spl26_131
| ~ spl26_225 ),
inference(avatar_split_clause,[],[f1719,f1715,f1079,f2903]) ).
fof(f1719,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK6(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)),X4)
| ~ m1_subset_1(X5,X3)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)) )
| ~ spl26_131
| ~ spl26_225 ),
inference(resolution,[],[f1716,f1080]) ).
fof(f2901,plain,
( spl26_390
| ~ spl26_111
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1459,f1428,f949,f2899]) ).
fof(f2899,plain,
( spl26_390
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| k7_funct_2(X3,X1,X2,X4,sK12(X1,X2,X0)) = k5_relat_1(X4,sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(X4,X3,X1)
| ~ v1_funct_2(X4,X3,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_390])]) ).
fof(f1459,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| k7_funct_2(X3,X1,X2,X4,sK12(X1,X2,X0)) = k5_relat_1(X4,sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(X4,X3,X1)
| ~ v1_funct_2(X4,X3,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1) )
| ~ spl26_111
| ~ spl26_180 ),
inference(resolution,[],[f1429,f950]) ).
fof(f2893,plain,
( spl26_389
| ~ spl26_177
| ~ spl26_220 ),
inference(avatar_split_clause,[],[f1691,f1681,f1401,f2891]) ).
fof(f2891,plain,
( spl26_389
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),sK3(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),sK3(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(sK3(X4))
| ~ m1_subset_1(X5,X3)
| m1_subset_1(k2_binop_1(X1,X3,sK3(X4),X2,X0,X5),u1_struct_0(X4))
| ~ l1_struct_0(X4)
| v3_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_389])]) ).
fof(f1691,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),sK3(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),sK3(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(sK3(X4))
| ~ m1_subset_1(X5,X3)
| m1_subset_1(k2_binop_1(X1,X3,sK3(X4),X2,X0,X5),u1_struct_0(X4))
| ~ l1_struct_0(X4)
| v3_struct_0(X4) )
| ~ spl26_177
| ~ spl26_220 ),
inference(resolution,[],[f1682,f1402]) ).
fof(f2874,plain,
( spl26_388
| ~ spl26_160
| ~ spl26_220 ),
inference(avatar_split_clause,[],[f1689,f1681,f1282,f2872]) ).
fof(f1689,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),sK6(k1_zfmisc_1(X4)))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(sK6(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,X3)
| m1_subset_1(k2_binop_1(X1,X3,sK6(k1_zfmisc_1(X4)),X2,X0,X5),X4) )
| ~ spl26_160
| ~ spl26_220 ),
inference(resolution,[],[f1682,f1283]) ).
fof(f2862,plain,
( spl26_387
| ~ spl26_196
| ~ spl26_236 ),
inference(avatar_split_clause,[],[f1808,f1804,f1539,f2860]) ).
fof(f1804,plain,
( spl26_236
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k1_binop_1(k2_autgroup(X1),X2,X0)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_236])]) ).
fof(f1808,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k1_binop_1(k2_autgroup(X1),X0,X2)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_196
| ~ spl26_236 ),
inference(duplicate_literal_removal,[],[f1807]) ).
fof(f1807,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X0,X2) = k1_binop_1(k2_autgroup(X1),X0,X2)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1) )
| ~ spl26_196
| ~ spl26_236 ),
inference(resolution,[],[f1805,f1540]) ).
fof(f1805,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k1_binop_1(k2_autgroup(X1),X2,X0)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_236 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f2856,plain,
( ~ spl26_386
| ~ spl26_50
| ~ spl26_375 ),
inference(avatar_split_clause,[],[f2819,f2782,f586,f2853]) ).
fof(f2853,plain,
( spl26_386
<=> r2_hidden(k1_autgroup(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_386])]) ).
fof(f2782,plain,
( spl26_375
<=> r2_hidden(sK2,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_375])]) ).
fof(f2819,plain,
( ~ r2_hidden(k1_autgroup(sK0),sK2)
| ~ spl26_50
| ~ spl26_375 ),
inference(resolution,[],[f2784,f587]) ).
fof(f2784,plain,
( r2_hidden(sK2,k1_autgroup(sK0))
| ~ spl26_375 ),
inference(avatar_component_clause,[],[f2782]) ).
fof(f2851,plain,
( spl26_385
| ~ spl26_213
| ~ spl26_232 ),
inference(avatar_split_clause,[],[f1778,f1767,f1632,f2849]) ).
fof(f2849,plain,
( spl26_385
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_385])]) ).
fof(f1767,plain,
( spl26_232
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_232])]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_213
| ~ spl26_232 ),
inference(duplicate_literal_removal,[],[f1777]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213
| ~ spl26_232 ),
inference(resolution,[],[f1768,f1633]) ).
fof(f1768,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_232 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f2847,plain,
( spl26_384
| ~ spl26_213
| ~ spl26_231 ),
inference(avatar_split_clause,[],[f1776,f1763,f1632,f2845]) ).
fof(f2845,plain,
( spl26_384
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_384])]) ).
fof(f1763,plain,
( spl26_231
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_231])]) ).
fof(f1776,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4) )
| ~ spl26_213
| ~ spl26_231 ),
inference(duplicate_literal_removal,[],[f1775]) ).
fof(f1775,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl26_213
| ~ spl26_231 ),
inference(resolution,[],[f1764,f1633]) ).
fof(f1764,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4) )
| ~ spl26_231 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f2833,plain,
( spl26_383
| ~ spl26_131
| ~ spl26_224 ),
inference(avatar_split_clause,[],[f1713,f1709,f1079,f2831]) ).
fof(f2831,plain,
( spl26_383
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X5,X3)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_383])]) ).
fof(f1709,plain,
( spl26_224
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_224])]) ).
fof(f1713,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X5,X3)
| v1_xboole_0(k2_binop_1(X1,X3,k1_zfmisc_1(X4),X2,X0,X5)) )
| ~ spl26_131
| ~ spl26_224 ),
inference(resolution,[],[f1710,f1080]) ).
fof(f1710,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0))
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X5)
| ~ m1_subset_1(X0,X1) )
| ~ spl26_224 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f2829,plain,
( spl26_382
| ~ spl26_89
| ~ spl26_216 ),
inference(avatar_split_clause,[],[f1672,f1656,f792,f2827]) ).
fof(f2827,plain,
( spl26_382
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_382])]) ).
fof(f792,plain,
( spl26_89
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_89])]) ).
fof(f1656,plain,
( spl26_216
<=> ! [X0] :
( m2_fraenkel(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_216])]) ).
fof(f1672,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_216 ),
inference(duplicate_literal_removal,[],[f1669]) ).
fof(f1669,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_216 ),
inference(resolution,[],[f1657,f793]) ).
fof(f793,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_89 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1657,plain,
( ! [X0] :
( m2_fraenkel(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_216 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f2824,plain,
( spl26_381
| ~ spl26_56
| ~ spl26_228 ),
inference(avatar_split_clause,[],[f1737,f1734,f610,f2822]) ).
fof(f2822,plain,
( spl26_381
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X1,X3,X4,sK11(k2_zfmisc_1(X1,X3),X4),X0,X2) = k1_binop_1(sK11(k2_zfmisc_1(X1,X3),X4),X0,X2)
| ~ v1_funct_1(sK11(k2_zfmisc_1(X1,X3),X4))
| v1_xboole_0(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_381])]) ).
fof(f610,plain,
( spl26_56
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_56])]) ).
fof(f1734,plain,
( spl26_228
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(sK11(k2_zfmisc_1(X3,X1),X4),k2_zfmisc_1(X3,X1),X4)
| k2_binop_1(X3,X1,X4,sK11(k2_zfmisc_1(X3,X1),X4),X2,X0) = k1_binop_1(sK11(k2_zfmisc_1(X3,X1),X4),X2,X0)
| ~ v1_funct_1(sK11(k2_zfmisc_1(X3,X1),X4))
| v1_xboole_0(X1)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_228])]) ).
fof(f1737,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X1,X3,X4,sK11(k2_zfmisc_1(X1,X3),X4),X0,X2) = k1_binop_1(sK11(k2_zfmisc_1(X1,X3),X4),X0,X2)
| ~ v1_funct_1(sK11(k2_zfmisc_1(X1,X3),X4))
| v1_xboole_0(X3)
| v1_xboole_0(X1) )
| ~ spl26_56
| ~ spl26_228 ),
inference(resolution,[],[f1735,f611]) ).
fof(f611,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl26_56 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f1735,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X3,X1),X4),k2_zfmisc_1(X3,X1),X4)
| ~ m1_subset_1(X2,X3)
| ~ m1_subset_1(X0,X1)
| k2_binop_1(X3,X1,X4,sK11(k2_zfmisc_1(X3,X1),X4),X2,X0) = k1_binop_1(sK11(k2_zfmisc_1(X3,X1),X4),X2,X0)
| ~ v1_funct_1(sK11(k2_zfmisc_1(X3,X1),X4))
| v1_xboole_0(X1)
| v1_xboole_0(X3) )
| ~ spl26_228 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f2805,plain,
( spl26_380
| ~ spl26_50
| ~ spl26_220 ),
inference(avatar_split_clause,[],[f1687,f1681,f586,f2803]) ).
fof(f2803,plain,
( spl26_380
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,X3)
| ~ r2_hidden(X4,k2_binop_1(X1,X3,X4,X2,X0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_380])]) ).
fof(f1687,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X3),X4)
| ~ v1_funct_1(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,X3)
| ~ r2_hidden(X4,k2_binop_1(X1,X3,X4,X2,X0,X5)) )
| ~ spl26_50
| ~ spl26_220 ),
inference(resolution,[],[f1682,f587]) ).
fof(f2801,plain,
( spl26_379
| ~ spl26_89
| ~ spl26_215 ),
inference(avatar_split_clause,[],[f1651,f1641,f792,f2799]) ).
fof(f2799,plain,
( spl26_379
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_379])]) ).
fof(f1641,plain,
( spl26_215
<=> ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_215])]) ).
fof(f1651,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_215 ),
inference(duplicate_literal_removal,[],[f1648]) ).
fof(f1648,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_215 ),
inference(resolution,[],[f1642,f793]) ).
fof(f1642,plain,
( ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl26_215 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f2797,plain,
( spl26_378
| ~ spl26_104
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1466,f1428,f900,f2795]) ).
fof(f2795,plain,
( spl26_378
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_378])]) ).
fof(f900,plain,
( spl26_104
<=> ! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_104])]) ).
fof(f1466,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl26_104
| ~ spl26_180 ),
inference(duplicate_literal_removal,[],[f1462]) ).
fof(f1462,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0))
| v1_xboole_0(X1) )
| ~ spl26_104
| ~ spl26_180 ),
inference(resolution,[],[f1429,f901]) ).
fof(f901,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl26_104 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f2793,plain,
( spl26_377
| ~ spl26_100
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1464,f1428,f880,f2791]) ).
fof(f2791,plain,
( spl26_377
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| v1_group_1(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_377])]) ).
fof(f880,plain,
( spl26_100
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_100])]) ).
fof(f1464,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| v1_group_1(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl26_100
| ~ spl26_180 ),
inference(resolution,[],[f1429,f881]) ).
fof(f881,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl26_100 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f2789,plain,
( spl26_376
| ~ spl26_101
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1463,f1428,f884,f2787]) ).
fof(f2787,plain,
( spl26_376
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| l1_group_1(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_376])]) ).
fof(f884,plain,
( spl26_101
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_101])]) ).
fof(f1463,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK12(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| l1_group_1(g1_group_1(X1,sK12(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl26_101
| ~ spl26_180 ),
inference(resolution,[],[f1429,f885]) ).
fof(f885,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl26_101 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2785,plain,
( spl26_375
| spl26_331
| ~ spl26_70
| ~ spl26_322 ),
inference(avatar_split_clause,[],[f2399,f2395,f681,f2461,f2782]) ).
fof(f2399,plain,
( v1_xboole_0(k1_autgroup(sK0))
| r2_hidden(sK2,k1_autgroup(sK0))
| ~ spl26_70
| ~ spl26_322 ),
inference(resolution,[],[f2397,f682]) ).
fof(f2780,plain,
( spl26_374
| ~ spl26_110
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1413,f1397,f939,f2778]) ).
fof(f2778,plain,
( spl26_374
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2_hidden(X0,k7_funct_2(X1,X2,X3,X4,X5))
| m1_subset_1(X0,k2_zfmisc_1(X1,X3))
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_374])]) ).
fof(f1413,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,k7_funct_2(X1,X2,X3,X4,X5))
| m1_subset_1(X0,k2_zfmisc_1(X1,X3))
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2) )
| ~ spl26_110
| ~ spl26_176 ),
inference(resolution,[],[f1398,f940]) ).
fof(f2773,plain,
( spl26_373
| ~ spl26_110
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1384,f1368,f939,f2771]) ).
fof(f2771,plain,
( spl26_373
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k7_funct_2(X0,X3,X1,X4,X5))
| ~ m1_relset_1(X5,X3,X1)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_373])]) ).
fof(f1368,plain,
( spl26_172
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_172])]) ).
fof(f1384,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k7_funct_2(X0,X3,X1,X4,X5))
| ~ m1_relset_1(X5,X3,X1)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| v1_xboole_0(X3) )
| ~ spl26_110
| ~ spl26_172 ),
inference(resolution,[],[f1369,f940]) ).
fof(f1369,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl26_172 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f2764,plain,
( spl26_372
| ~ spl26_178
| ~ spl26_227 ),
inference(avatar_split_clause,[],[f1732,f1728,f1405,f2762]) ).
fof(f2762,plain,
( spl26_372
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X0,X2) = k1_binop_1(u1_group_1(X1),X0,X2)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_372])]) ).
fof(f1728,plain,
( spl26_227
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X2,X0) = k1_binop_1(u1_group_1(X1),X2,X0)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_227])]) ).
fof(f1732,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X0,X2) = k1_binop_1(u1_group_1(X1),X0,X2)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) )
| ~ spl26_178
| ~ spl26_227 ),
inference(duplicate_literal_removal,[],[f1731]) ).
fof(f1731,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X0,X2) = k1_binop_1(u1_group_1(X1),X0,X2)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X1) )
| ~ spl26_178
| ~ spl26_227 ),
inference(resolution,[],[f1729,f1406]) ).
fof(f1729,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X2,X0) = k1_binop_1(u1_group_1(X1),X2,X0)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) )
| ~ spl26_227 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f2757,plain,
( ~ spl26_368
| ~ spl26_369
| ~ spl26_370
| spl26_371
| ~ spl26_106
| ~ spl26_168 ),
inference(avatar_split_clause,[],[f1348,f1343,f916,f2755,f2751,f2747,f2743]) ).
fof(f2755,plain,
( spl26_371
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_group_1(sK21) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_371])]) ).
fof(f916,plain,
( spl26_106
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_106])]) ).
fof(f1348,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_group_1(sK21) = X1
| ~ m1_relset_1(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u1_group_1(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u1_group_1(sK21)) )
| ~ spl26_106
| ~ spl26_168 ),
inference(superposition,[],[f917,f1345]) ).
fof(f917,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_106 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f2738,plain,
( ~ spl26_364
| ~ spl26_365
| ~ spl26_366
| spl26_367
| ~ spl26_106
| ~ spl26_167 ),
inference(avatar_split_clause,[],[f1339,f1334,f916,f2736,f2732,f2728,f2724]) ).
fof(f2736,plain,
( spl26_367
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_group_1(sK20) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_367])]) ).
fof(f1339,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_group_1(sK20) = X1
| ~ m1_relset_1(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ v1_funct_2(u1_group_1(sK20),k2_zfmisc_1(u1_struct_0(sK20),u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ v1_funct_1(u1_group_1(sK20)) )
| ~ spl26_106
| ~ spl26_167 ),
inference(superposition,[],[f917,f1336]) ).
fof(f2719,plain,
( ~ spl26_360
| ~ spl26_361
| ~ spl26_362
| spl26_363
| ~ spl26_106
| ~ spl26_166 ),
inference(avatar_split_clause,[],[f1330,f1325,f916,f2717,f2713,f2709,f2705]) ).
fof(f2717,plain,
( spl26_363
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_group_1(sK19) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_363])]) ).
fof(f1330,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_group_1(sK19) = X1
| ~ m1_relset_1(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ v1_funct_2(u1_group_1(sK19),k2_zfmisc_1(u1_struct_0(sK19),u1_struct_0(sK19)),u1_struct_0(sK19))
| ~ v1_funct_1(u1_group_1(sK19)) )
| ~ spl26_106
| ~ spl26_166 ),
inference(superposition,[],[f917,f1327]) ).
fof(f2687,plain,
( spl26_359
| ~ spl26_56
| ~ spl26_223 ),
inference(avatar_split_clause,[],[f1707,f1702,f610,f2685]) ).
fof(f1702,plain,
( spl26_223
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| k7_funct_2(X2,X0,X1,X3,sK11(X0,X1)) = k5_relat_1(X3,sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(X3,X2,X0)
| ~ v1_funct_2(X3,X2,X0)
| ~ v1_funct_1(X3)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_223])]) ).
fof(f1707,plain,
( ! [X2,X3,X0,X1] :
( k7_funct_2(X0,X1,X2,X3,sK11(X1,X2)) = k5_relat_1(X3,sK11(X1,X2))
| ~ v1_funct_1(sK11(X1,X2))
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_56
| ~ spl26_223 ),
inference(resolution,[],[f1703,f611]) ).
fof(f1703,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| k7_funct_2(X2,X0,X1,X3,sK11(X0,X1)) = k5_relat_1(X3,sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(X3,X2,X0)
| ~ v1_funct_2(X3,X2,X0)
| ~ v1_funct_1(X3)
| v1_xboole_0(X0) )
| ~ spl26_223 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f2683,plain,
( ~ spl26_358
| ~ spl26_50
| ~ spl26_349 ),
inference(avatar_split_clause,[],[f2626,f2578,f586,f2680]) ).
fof(f2680,plain,
( spl26_358
<=> r2_hidden(k1_autgroup(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_358])]) ).
fof(f2578,plain,
( spl26_349
<=> r2_hidden(sK1,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_349])]) ).
fof(f2626,plain,
( ~ r2_hidden(k1_autgroup(sK0),sK1)
| ~ spl26_50
| ~ spl26_349 ),
inference(resolution,[],[f2580,f587]) ).
fof(f2580,plain,
( r2_hidden(sK1,k1_autgroup(sK0))
| ~ spl26_349 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f2678,plain,
( spl26_357
| ~ spl26_99
| ~ spl26_175 ),
inference(avatar_split_clause,[],[f1395,f1380,f863,f2676]) ).
fof(f2676,plain,
( spl26_357
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| k1_binop_1(sK12(X2,X0,X1),X3,X4) = k1_funct_1(sK12(X2,X0,X1),k2_tarski(k1_tarski(X3),k2_tarski(X3,X4)))
| ~ v1_relat_1(sK12(X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_357])]) ).
fof(f1380,plain,
( spl26_175
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK12(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_175])]) ).
fof(f1395,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| k1_binop_1(sK12(X2,X0,X1),X3,X4) = k1_funct_1(sK12(X2,X0,X1),k2_tarski(k1_tarski(X3),k2_tarski(X3,X4)))
| ~ v1_relat_1(sK12(X2,X0,X1)) )
| ~ spl26_99
| ~ spl26_175 ),
inference(resolution,[],[f1381,f864]) ).
fof(f1381,plain,
( ! [X2,X0,X1] :
( v1_funct_1(sK12(X1,X2,X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl26_175 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f2672,plain,
( spl26_356
| ~ spl26_110
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1251,f1103,f939,f2670]) ).
fof(f2670,plain,
( spl26_356
<=> ! [X4,X0,X3,X2,X1] :
( v1_relat_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_356])]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_110
| ~ spl26_137 ),
inference(resolution,[],[f1104,f940]) ).
fof(f2666,plain,
( spl26_355
| ~ spl26_196
| ~ spl26_222 ),
inference(avatar_split_clause,[],[f1706,f1698,f1539,f2664]) ).
fof(f2664,plain,
( spl26_355
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_355])]) ).
fof(f1698,plain,
( spl26_222
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_222])]) ).
fof(f1706,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_196
| ~ spl26_222 ),
inference(duplicate_literal_removal,[],[f1705]) ).
fof(f1705,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196
| ~ spl26_222 ),
inference(resolution,[],[f1699,f1540]) ).
fof(f1699,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_222 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f2631,plain,
( spl26_354
| ~ spl26_196
| ~ spl26_219 ),
inference(avatar_split_clause,[],[f1685,f1677,f1539,f2629]) ).
fof(f2629,plain,
( spl26_354
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_354])]) ).
fof(f1677,plain,
( spl26_219
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_219])]) ).
fof(f1685,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl26_196
| ~ spl26_219 ),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1684,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196
| ~ spl26_219 ),
inference(resolution,[],[f1678,f1540]) ).
fof(f1678,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl26_219 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f2624,plain,
( spl26_353
| ~ spl26_71
| ~ spl26_210 ),
inference(avatar_split_clause,[],[f1626,f1613,f685,f2622]) ).
fof(f685,plain,
( spl26_71
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_71])]) ).
fof(f1613,plain,
( spl26_210
<=> ! [X0,X3,X2,X1] :
( k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_210])]) ).
fof(f1626,plain,
( ! [X2,X3,X0,X1] :
( k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_71
| ~ spl26_210 ),
inference(duplicate_literal_removal,[],[f1625]) ).
fof(f1625,plain,
( ! [X2,X3,X0,X1] :
( k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl26_71
| ~ spl26_210 ),
inference(resolution,[],[f1614,f686]) ).
fof(f686,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl26_71 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f1614,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(k5_relat_1(X0,X1))
| k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_210 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f2620,plain,
( spl26_352
| ~ spl26_95
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1468,f1428,f838,f2618]) ).
fof(f1468,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X1) )
| ~ spl26_95
| ~ spl26_180 ),
inference(duplicate_literal_removal,[],[f1460]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl26_95
| ~ spl26_180 ),
inference(resolution,[],[f1429,f839]) ).
fof(f2616,plain,
( spl26_351
| ~ spl26_94
| ~ spl26_180 ),
inference(avatar_split_clause,[],[f1467,f1428,f834,f2614]) ).
fof(f1467,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK12(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2) )
| ~ spl26_94
| ~ spl26_180 ),
inference(duplicate_literal_removal,[],[f1461]) ).
fof(f1461,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK12(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_94
| ~ spl26_180 ),
inference(resolution,[],[f1429,f835]) ).
fof(f2609,plain,
( spl26_350
| ~ spl26_103
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1412,f1397,f896,f2607]) ).
fof(f2607,plain,
( spl26_350
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k2_autgroup(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_350])]) ).
fof(f896,plain,
( spl26_103
<=> ! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_103])]) ).
fof(f1412,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k2_autgroup(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_103
| ~ spl26_176 ),
inference(resolution,[],[f1398,f897]) ).
fof(f897,plain,
( ! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_103 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f2581,plain,
( spl26_349
| spl26_331
| ~ spl26_70
| ~ spl26_263 ),
inference(avatar_split_clause,[],[f2386,f1989,f681,f2461,f2578]) ).
fof(f2386,plain,
( v1_xboole_0(k1_autgroup(sK0))
| r2_hidden(sK1,k1_autgroup(sK0))
| ~ spl26_70
| ~ spl26_263 ),
inference(resolution,[],[f1991,f682]) ).
fof(f2552,plain,
( spl26_348
| ~ spl26_97
| ~ spl26_183 ),
inference(avatar_split_clause,[],[f1491,f1440,f850,f2550]) ).
fof(f850,plain,
( spl26_97
<=> ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_97])]) ).
fof(f1491,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_97
| ~ spl26_183 ),
inference(resolution,[],[f1441,f851]) ).
fof(f851,plain,
( ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_97 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f2548,plain,
( spl26_347
| ~ spl26_96
| ~ spl26_183 ),
inference(avatar_split_clause,[],[f1489,f1440,f846,f2546]) ).
fof(f846,plain,
( spl26_96
<=> ! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_96])]) ).
fof(f1489,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_96
| ~ spl26_183 ),
inference(resolution,[],[f1441,f847]) ).
fof(f847,plain,
( ! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_96 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f2544,plain,
( spl26_346
| ~ spl26_97
| ~ spl26_181 ),
inference(avatar_split_clause,[],[f1472,f1432,f850,f2542]) ).
fof(f2542,plain,
( spl26_346
<=> ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_346])]) ).
fof(f1472,plain,
( ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_97
| ~ spl26_181 ),
inference(resolution,[],[f1433,f851]) ).
fof(f2540,plain,
( spl26_345
| ~ spl26_96
| ~ spl26_181 ),
inference(avatar_split_clause,[],[f1470,f1432,f846,f2538]) ).
fof(f2538,plain,
( spl26_345
<=> ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_345])]) ).
fof(f1470,plain,
( ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_96
| ~ spl26_181 ),
inference(resolution,[],[f1433,f847]) ).
fof(f2536,plain,
( spl26_344
| ~ spl26_103
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1383,f1368,f896,f2534]) ).
fof(f2534,plain,
( spl26_344
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ r2_hidden(X1,k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_344])]) ).
fof(f1383,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ r2_hidden(X1,k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_103
| ~ spl26_172 ),
inference(resolution,[],[f1369,f897]) ).
fof(f2532,plain,
( spl26_343
| ~ spl26_105
| ~ spl26_168 ),
inference(avatar_split_clause,[],[f1349,f1343,f912,f2530]) ).
fof(f2530,plain,
( spl26_343
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_343])]) ).
fof(f1349,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_105
| ~ spl26_168 ),
inference(superposition,[],[f913,f1345]) ).
fof(f2528,plain,
( spl26_342
| ~ spl26_106
| ~ spl26_168 ),
inference(avatar_split_clause,[],[f1347,f1343,f916,f2526]) ).
fof(f2526,plain,
( spl26_342
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_group_1(sK21) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_342])]) ).
fof(f1347,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK21
| u1_group_1(sK21) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_106
| ~ spl26_168 ),
inference(superposition,[],[f917,f1345]) ).
fof(f2524,plain,
( spl26_341
| ~ spl26_105
| ~ spl26_167 ),
inference(avatar_split_clause,[],[f1340,f1334,f912,f2522]) ).
fof(f2522,plain,
( spl26_341
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_struct_0(sK20) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_341])]) ).
fof(f1340,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_struct_0(sK20) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_105
| ~ spl26_167 ),
inference(superposition,[],[f913,f1336]) ).
fof(f2520,plain,
( spl26_340
| ~ spl26_106
| ~ spl26_167 ),
inference(avatar_split_clause,[],[f1338,f1334,f916,f2518]) ).
fof(f2518,plain,
( spl26_340
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_group_1(sK20) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_340])]) ).
fof(f1338,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK20
| u1_group_1(sK20) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_106
| ~ spl26_167 ),
inference(superposition,[],[f917,f1336]) ).
fof(f2516,plain,
( spl26_339
| ~ spl26_105
| ~ spl26_166 ),
inference(avatar_split_clause,[],[f1331,f1325,f912,f2514]) ).
fof(f2514,plain,
( spl26_339
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_struct_0(sK19) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_339])]) ).
fof(f1331,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_struct_0(sK19) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_105
| ~ spl26_166 ),
inference(superposition,[],[f913,f1327]) ).
fof(f2512,plain,
( spl26_338
| ~ spl26_106
| ~ spl26_166 ),
inference(avatar_split_clause,[],[f1329,f1325,f916,f2510]) ).
fof(f2510,plain,
( spl26_338
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_group_1(sK19) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_338])]) ).
fof(f1329,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK19
| u1_group_1(sK19) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_106
| ~ spl26_166 ),
inference(superposition,[],[f917,f1327]) ).
fof(f2508,plain,
( spl26_337
| ~ spl26_196
| ~ spl26_214 ),
inference(avatar_split_clause,[],[f1645,f1637,f1539,f2506]) ).
fof(f2506,plain,
( spl26_337
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_337])]) ).
fof(f1637,plain,
( spl26_214
<=> ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_214])]) ).
fof(f1645,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_196
| ~ spl26_214 ),
inference(duplicate_literal_removal,[],[f1644]) ).
fof(f1644,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196
| ~ spl26_214 ),
inference(resolution,[],[f1638,f1540]) ).
fof(f1638,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_214 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f2500,plain,
( spl26_336
| ~ spl26_99
| ~ spl26_129 ),
inference(avatar_split_clause,[],[f1073,f1066,f863,f2498]) ).
fof(f1066,plain,
( spl26_129
<=> ! [X0] :
( v1_funct_1(sK6(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_129])]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( ~ v1_fraenkel(X0)
| k1_binop_1(sK6(X0),X1,X2) = k1_funct_1(sK6(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(sK6(X0)) )
| ~ spl26_99
| ~ spl26_129 ),
inference(resolution,[],[f1067,f864]) ).
fof(f1067,plain,
( ! [X0] :
( v1_funct_1(sK6(X0))
| ~ v1_fraenkel(X0) )
| ~ spl26_129 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f2482,plain,
( spl26_335
| ~ spl26_196
| ~ spl26_212 ),
inference(avatar_split_clause,[],[f1630,f1622,f1539,f2480]) ).
fof(f2480,plain,
( spl26_335
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_335])]) ).
fof(f1622,plain,
( spl26_212
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_212])]) ).
fof(f1630,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_196
| ~ spl26_212 ),
inference(duplicate_literal_removal,[],[f1629]) ).
fof(f1629,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196
| ~ spl26_212 ),
inference(resolution,[],[f1623,f1540]) ).
fof(f1623,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_212 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f2478,plain,
( spl26_334
| ~ spl26_196
| ~ spl26_211 ),
inference(avatar_split_clause,[],[f1628,f1617,f1539,f2476]) ).
fof(f1617,plain,
( spl26_211
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_211])]) ).
fof(f1628,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_196
| ~ spl26_211 ),
inference(duplicate_literal_removal,[],[f1627]) ).
fof(f1627,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl26_196
| ~ spl26_211 ),
inference(resolution,[],[f1618,f1540]) ).
fof(f1618,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_211 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f2474,plain,
( spl26_333
| ~ spl26_97
| ~ spl26_174 ),
inference(avatar_split_clause,[],[f1393,f1376,f850,f2472]) ).
fof(f1393,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_97
| ~ spl26_174 ),
inference(resolution,[],[f1377,f851]) ).
fof(f2470,plain,
( spl26_332
| ~ spl26_96
| ~ spl26_174 ),
inference(avatar_split_clause,[],[f1391,f1376,f846,f2468]) ).
fof(f1391,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_96
| ~ spl26_174 ),
inference(resolution,[],[f1377,f847]) ).
fof(f2464,plain,
( ~ spl26_331
| ~ spl26_58
| ~ spl26_262 ),
inference(avatar_split_clause,[],[f2393,f1985,f618,f2461]) ).
fof(f618,plain,
( spl26_58
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_58])]) ).
fof(f2393,plain,
( ~ v1_xboole_0(k1_autgroup(sK0))
| ~ spl26_58
| ~ spl26_262 ),
inference(resolution,[],[f1986,f619]) ).
fof(f619,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) )
| ~ spl26_58 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f2459,plain,
( spl26_330
| ~ spl26_178
| ~ spl26_208 ),
inference(avatar_split_clause,[],[f1611,f1603,f1405,f2457]) ).
fof(f2457,plain,
( spl26_330
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_330])]) ).
fof(f1603,plain,
( spl26_208
<=> ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_208])]) ).
fof(f1611,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_208 ),
inference(duplicate_literal_removal,[],[f1610]) ).
fof(f1610,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_208 ),
inference(resolution,[],[f1604,f1406]) ).
fof(f1604,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_208 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f2439,plain,
( spl26_329
| ~ spl26_178
| ~ spl26_207 ),
inference(avatar_split_clause,[],[f1601,f1597,f1405,f2437]) ).
fof(f1597,plain,
( spl26_207
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_207])]) ).
fof(f1601,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_207 ),
inference(duplicate_literal_removal,[],[f1600]) ).
fof(f1600,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_207 ),
inference(resolution,[],[f1598,f1406]) ).
fof(f1598,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl26_207 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f2435,plain,
( spl26_328
| ~ spl26_44
| ~ spl26_198 ),
inference(avatar_split_clause,[],[f1565,f1548,f546,f2433]) ).
fof(f546,plain,
( spl26_44
<=> ! [X0,X1] : v1_relat_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f1548,plain,
( spl26_198
<=> ! [X0,X3,X2,X1] :
( k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_198])]) ).
fof(f1565,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ spl26_44
| ~ spl26_198 ),
inference(resolution,[],[f1549,f547]) ).
fof(f547,plain,
( ! [X0,X1] : v1_relat_1(sK11(X0,X1))
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(sK11(X0,X1))
| k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))) )
| ~ spl26_198 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f2431,plain,
( spl26_327
| ~ spl26_42
| ~ spl26_197 ),
inference(avatar_split_clause,[],[f1564,f1544,f538,f2429]) ).
fof(f538,plain,
( spl26_42
<=> ! [X0,X1] : v1_relat_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_42])]) ).
fof(f1544,plain,
( spl26_197
<=> ! [X0,X3,X2,X1] :
( k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_197])]) ).
fof(f1564,plain,
( ! [X2,X3,X0,X1] : k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ spl26_42
| ~ spl26_197 ),
inference(resolution,[],[f1545,f539]) ).
fof(f539,plain,
( ! [X0,X1] : v1_relat_1(sK10(X0,X1))
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(sK10(X0,X1))
| k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))) )
| ~ spl26_197 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f2427,plain,
( spl26_326
| ~ spl26_176
| ~ spl26_182 ),
inference(avatar_split_clause,[],[f1475,f1436,f1397,f2425]) ).
fof(f1475,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X3,sK12(X1,X2,X0))
| m1_subset_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl26_176
| ~ spl26_182 ),
inference(resolution,[],[f1437,f1398]) ).
fof(f2423,plain,
( spl26_325
| ~ spl26_59
| ~ spl26_262 ),
inference(avatar_split_clause,[],[f2392,f1985,f622,f2420]) ).
fof(f2420,plain,
( spl26_325
<=> v1_fraenkel(k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_325])]) ).
fof(f622,plain,
( spl26_59
<=> ! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_59])]) ).
fof(f2392,plain,
( v1_fraenkel(k1_autgroup(sK0))
| ~ spl26_59
| ~ spl26_262 ),
inference(resolution,[],[f1986,f623]) ).
fof(f623,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_fraenkel(X2) )
| ~ spl26_59 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f2418,plain,
( spl26_324
| ~ spl26_79
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f1425,f1409,f728,f2416]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1))) )
| ~ spl26_79
| ~ spl26_179 ),
inference(resolution,[],[f1410,f729]) ).
fof(f2405,plain,
( spl26_323
| ~ spl26_56
| ~ spl26_206 ),
inference(avatar_split_clause,[],[f1595,f1592,f610,f2403]) ).
fof(f2403,plain,
( spl26_323
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_323])]) ).
fof(f1592,plain,
( spl26_206
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_206])]) ).
fof(f1595,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl26_56
| ~ spl26_206 ),
inference(resolution,[],[f1593,f611]) ).
fof(f1593,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl26_206 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f2398,plain,
( spl26_119
| ~ spl26_262
| spl26_322
| ~ spl26_89
| ~ spl26_153 ),
inference(avatar_split_clause,[],[f1244,f1218,f792,f2395,f1985,f1013]) ).
fof(f1244,plain,
( m1_subset_1(sK2,k1_autgroup(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_89
| ~ spl26_153 ),
inference(resolution,[],[f1220,f793]) ).
fof(f2385,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_97
| spl26_262 ),
inference(avatar_split_clause,[],[f1993,f1985,f850,f357,f352,f347,f342,f337]) ).
fof(f1993,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl26_97
| spl26_262 ),
inference(resolution,[],[f1987,f851]) ).
fof(f1987,plain,
( ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_262 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f2384,plain,
( spl26_321
| ~ spl26_172
| ~ spl26_182 ),
inference(avatar_split_clause,[],[f1476,f1436,f1368,f2382]) ).
fof(f1476,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,sK12(X1,X2,X0)) )
| ~ spl26_172
| ~ spl26_182 ),
inference(resolution,[],[f1437,f1369]) ).
fof(f2380,plain,
( spl26_320
| ~ spl26_76
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f1426,f1409,f714,f2378]) ).
fof(f1426,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1))) )
| ~ spl26_76
| ~ spl26_179 ),
inference(resolution,[],[f1410,f715]) ).
fof(f2376,plain,
( spl26_319
| ~ spl26_83
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1414,f1397,f764,f2374]) ).
fof(f764,plain,
( spl26_83
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_83])]) ).
fof(f1414,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) )
| ~ spl26_83
| ~ spl26_176 ),
inference(resolution,[],[f1398,f765]) ).
fof(f765,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_83 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f2370,plain,
( spl26_318
| ~ spl26_50
| ~ spl26_189 ),
inference(avatar_split_clause,[],[f1522,f1500,f586,f2368]) ).
fof(f2368,plain,
( spl26_318
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_318])]) ).
fof(f1522,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl26_50
| ~ spl26_189 ),
inference(resolution,[],[f1501,f587]) ).
fof(f2366,plain,
( spl26_317
| ~ spl26_83
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1385,f1368,f764,f2364]) ).
fof(f2364,plain,
( spl26_317
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_317])]) ).
fof(f1385,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_83
| ~ spl26_172 ),
inference(resolution,[],[f1369,f765]) ).
fof(f2356,plain,
( spl26_316
| ~ spl26_73
| ~ spl26_260 ),
inference(avatar_split_clause,[],[f1978,f1972,f693,f2354]) ).
fof(f1978,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl26_73
| ~ spl26_260 ),
inference(resolution,[],[f1973,f694]) ).
fof(f2336,plain,
( spl26_315
| ~ spl26_178
| ~ spl26_204 ),
inference(avatar_split_clause,[],[f1585,f1579,f1405,f2334]) ).
fof(f1579,plain,
( spl26_204
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_204])]) ).
fof(f1585,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_204 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_204 ),
inference(resolution,[],[f1580,f1406]) ).
fof(f1580,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_204 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f2332,plain,
( spl26_314
| ~ spl26_56
| ~ spl26_203 ),
inference(avatar_split_clause,[],[f1583,f1575,f610,f2330]) ).
fof(f1575,plain,
( spl26_203
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_203])]) ).
fof(f1583,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_56
| ~ spl26_203 ),
inference(resolution,[],[f1576,f611]) ).
fof(f1576,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_203 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f2328,plain,
( spl26_313
| ~ spl26_56
| ~ spl26_202 ),
inference(avatar_split_clause,[],[f1582,f1571,f610,f2326]) ).
fof(f2326,plain,
( spl26_313
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_313])]) ).
fof(f1571,plain,
( spl26_202
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_202])]) ).
fof(f1582,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_56
| ~ spl26_202 ),
inference(resolution,[],[f1572,f611]) ).
fof(f1572,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_202 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f2324,plain,
( spl26_312
| ~ spl26_50
| ~ spl26_188 ),
inference(avatar_split_clause,[],[f1497,f1493,f586,f2322]) ).
fof(f2322,plain,
( spl26_312
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_312])]) ).
fof(f1493,plain,
( spl26_188
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_188])]) ).
fof(f1497,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK3(X0)) )
| ~ spl26_50
| ~ spl26_188 ),
inference(resolution,[],[f1494,f587]) ).
fof(f1494,plain,
( ! [X0] :
( r2_hidden(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl26_188 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f2320,plain,
( spl26_311
| ~ spl26_70
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f1421,f1409,f681,f2318]) ).
fof(f1421,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| r2_hidden(sK12(X2,X0,X1),X1) )
| ~ spl26_70
| ~ spl26_179 ),
inference(resolution,[],[f1410,f682]) ).
fof(f2304,plain,
( spl26_310
| ~ spl26_66
| ~ spl26_192 ),
inference(avatar_split_clause,[],[f1519,f1516,f654,f2302]) ).
fof(f2302,plain,
( spl26_310
<=> ! [X0,X1] : k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_310])]) ).
fof(f1516,plain,
( spl26_192
<=> ! [X0,X1] : k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_192])]) ).
fof(f1519,plain,
( ! [X0,X1] : k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_192 ),
inference(superposition,[],[f1517,f655]) ).
fof(f1517,plain,
( ! [X0,X1] : k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ spl26_192 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f2300,plain,
( spl26_309
| ~ spl26_66
| ~ spl26_191 ),
inference(avatar_split_clause,[],[f1513,f1510,f654,f2298]) ).
fof(f2298,plain,
( spl26_309
<=> ! [X0,X1] : k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_309])]) ).
fof(f1510,plain,
( spl26_191
<=> ! [X0,X1] : k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_191])]) ).
fof(f1513,plain,
( ! [X0,X1] : k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_191 ),
inference(superposition,[],[f1511,f655]) ).
fof(f1511,plain,
( ! [X0,X1] : k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ spl26_191 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f2296,plain,
( spl26_308
| ~ spl26_66
| ~ spl26_190 ),
inference(avatar_split_clause,[],[f1507,f1504,f654,f2294]) ).
fof(f2294,plain,
( spl26_308
<=> ! [X0,X1] : k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_308])]) ).
fof(f1504,plain,
( spl26_190
<=> ! [X0,X1] : k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_190])]) ).
fof(f1507,plain,
( ! [X0,X1] : k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X1,X0)))
| ~ spl26_66
| ~ spl26_190 ),
inference(superposition,[],[f1505,f655]) ).
fof(f1505,plain,
( ! [X0,X1] : k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ spl26_190 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f2292,plain,
( spl26_307
| ~ spl26_73
| ~ spl26_182 ),
inference(avatar_split_clause,[],[f1478,f1436,f693,f2290]) ).
fof(f1478,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK12(X1,X2,X0),X1,X2) )
| ~ spl26_73
| ~ spl26_182 ),
inference(resolution,[],[f1437,f694]) ).
fof(f2288,plain,
( spl26_306
| ~ spl26_131
| ~ spl26_177 ),
inference(avatar_split_clause,[],[f1419,f1401,f1079,f2286]) ).
fof(f1419,plain,
( ! [X0] :
( m1_subset_1(sK6(sK3(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl26_131
| ~ spl26_177 ),
inference(resolution,[],[f1402,f1080]) ).
fof(f2284,plain,
( spl26_305
| ~ spl26_103
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1250,f1103,f896,f2282]) ).
fof(f2282,plain,
( spl26_305
<=> ! [X0] :
( v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_305])]) ).
fof(f1250,plain,
( ! [X0] :
( v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_103
| ~ spl26_137 ),
inference(resolution,[],[f1104,f897]) ).
fof(f2280,plain,
( spl26_304
| ~ spl26_41
| ~ spl26_278 ),
inference(avatar_split_clause,[],[f2237,f2070,f534,f2277]) ).
fof(f2277,plain,
( spl26_304
<=> v1_relat_1(sK6(k4_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_304])]) ).
fof(f2070,plain,
( spl26_278
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_278])]) ).
fof(f2237,plain,
( v1_relat_1(sK6(k4_autgroup(sK0)))
| ~ spl26_41
| ~ spl26_278 ),
inference(resolution,[],[f2071,f535]) ).
fof(f2071,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_relat_1(X0) )
| ~ spl26_278 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2273,plain,
( spl26_303
| ~ spl26_56
| ~ spl26_194 ),
inference(avatar_split_clause,[],[f1533,f1529,f610,f2271]) ).
fof(f2271,plain,
( spl26_303
<=> ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_303])]) ).
fof(f1529,plain,
( spl26_194
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_194])]) ).
fof(f1533,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_56
| ~ spl26_194 ),
inference(resolution,[],[f1530,f611]) ).
fof(f1530,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_194 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f2269,plain,
( spl26_302
| ~ spl26_56
| ~ spl26_193 ),
inference(avatar_split_clause,[],[f1532,f1525,f610,f2267]) ).
fof(f2267,plain,
( spl26_302
<=> ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_302])]) ).
fof(f1525,plain,
( spl26_193
<=> ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_193])]) ).
fof(f1532,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_56
| ~ spl26_193 ),
inference(resolution,[],[f1526,f611]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_193 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f2247,plain,
( spl26_301
| ~ spl26_178
| ~ spl26_200 ),
inference(avatar_split_clause,[],[f1569,f1556,f1405,f2245]) ).
fof(f1556,plain,
( spl26_200
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_200])]) ).
fof(f1569,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_200 ),
inference(duplicate_literal_removal,[],[f1568]) ).
fof(f1568,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_200 ),
inference(resolution,[],[f1557,f1406]) ).
fof(f1557,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_200 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2243,plain,
( spl26_300
| ~ spl26_178
| ~ spl26_199 ),
inference(avatar_split_clause,[],[f1567,f1552,f1405,f2241]) ).
fof(f2241,plain,
( spl26_300
<=> ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_300])]) ).
fof(f1552,plain,
( spl26_199
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_199])]) ).
fof(f1567,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_199 ),
inference(duplicate_literal_removal,[],[f1566]) ).
fof(f1566,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl26_178
| ~ spl26_199 ),
inference(resolution,[],[f1553,f1406]) ).
fof(f1553,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_199 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f2233,plain,
( spl26_299
| ~ spl26_52
| ~ spl26_183 ),
inference(avatar_split_clause,[],[f1488,f1440,f594,f2231]) ).
fof(f594,plain,
( spl26_52
<=> ! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_52])]) ).
fof(f1488,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK7(X1,X2)) )
| ~ spl26_52
| ~ spl26_183 ),
inference(resolution,[],[f1441,f595]) ).
fof(f595,plain,
( ! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1)
| ~ spl26_52 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f2229,plain,
( spl26_298
| ~ spl26_137
| ~ spl26_182 ),
inference(avatar_split_clause,[],[f1477,f1436,f1103,f2227]) ).
fof(f2227,plain,
( spl26_298
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK12(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_298])]) ).
fof(f1477,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK12(X1,X2,X0)) )
| ~ spl26_137
| ~ spl26_182 ),
inference(resolution,[],[f1437,f1104]) ).
fof(f2225,plain,
( spl26_297
| ~ spl26_52
| ~ spl26_181 ),
inference(avatar_split_clause,[],[f1469,f1432,f594,f2223]) ).
fof(f1469,plain,
( ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK7(X1,X2)) )
| ~ spl26_52
| ~ spl26_181 ),
inference(resolution,[],[f1433,f595]) ).
fof(f2211,plain,
( ~ spl26_279
| ~ spl26_280
| ~ spl26_281
| spl26_296
| ~ spl26_105
| ~ spl26_118 ),
inference(avatar_split_clause,[],[f1011,f1004,f912,f2209,f2087,f2083,f2079]) ).
fof(f2209,plain,
( spl26_296
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_struct_0(sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_296])]) ).
fof(f1004,plain,
( spl26_118
<=> sK0 = g1_group_1(u1_struct_0(sK0),u1_group_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_118])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_group_1(sK0)) )
| ~ spl26_105
| ~ spl26_118 ),
inference(superposition,[],[f913,f1006]) ).
fof(f1006,plain,
( sK0 = g1_group_1(u1_struct_0(sK0),u1_group_1(sK0))
| ~ spl26_118 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f2190,plain,
( ~ spl26_5
| ~ spl26_82
| spl26_280 ),
inference(avatar_split_clause,[],[f2095,f2083,f760,f357]) ).
fof(f2095,plain,
( ~ l1_group_1(sK0)
| ~ spl26_82
| spl26_280 ),
inference(resolution,[],[f2085,f761]) ).
fof(f2085,plain,
( ~ v1_funct_2(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl26_280 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f2177,plain,
( spl26_295
| ~ spl26_136
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1418,f1397,f1099,f2175]) ).
fof(f1418,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_136
| ~ spl26_176 ),
inference(resolution,[],[f1398,f1100]) ).
fof(f2173,plain,
( spl26_294
| ~ spl26_135
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1417,f1397,f1095,f2171]) ).
fof(f1417,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_135
| ~ spl26_176 ),
inference(resolution,[],[f1398,f1096]) ).
fof(f2169,plain,
( spl26_293
| ~ spl26_54
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1416,f1397,f602,f2167]) ).
fof(f1416,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_54
| ~ spl26_176 ),
inference(resolution,[],[f1398,f603]) ).
fof(f2165,plain,
( spl26_292
| ~ spl26_134
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1415,f1397,f1091,f2163]) ).
fof(f1415,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_134
| ~ spl26_176 ),
inference(resolution,[],[f1398,f1092]) ).
fof(f2161,plain,
( spl26_291
| ~ spl26_50
| ~ spl26_169 ),
inference(avatar_split_clause,[],[f1357,f1353,f586,f2159]) ).
fof(f1357,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl26_50
| ~ spl26_169 ),
inference(resolution,[],[f1354,f587]) ).
fof(f2157,plain,
( spl26_290
| ~ spl26_131
| ~ spl26_160 ),
inference(avatar_split_clause,[],[f1301,f1282,f1079,f2155]) ).
fof(f1301,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl26_131
| ~ spl26_160 ),
inference(resolution,[],[f1283,f1080]) ).
fof(f2152,plain,
( ~ spl26_5
| ~ spl26_178
| spl26_281 ),
inference(avatar_split_clause,[],[f2096,f2087,f1405,f357]) ).
fof(f2096,plain,
( ~ l1_group_1(sK0)
| ~ spl26_178
| spl26_281 ),
inference(resolution,[],[f2089,f1406]) ).
fof(f2089,plain,
( ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl26_281 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2140,plain,
( spl26_289
| ~ spl26_52
| ~ spl26_174 ),
inference(avatar_split_clause,[],[f1390,f1376,f594,f2138]) ).
fof(f1390,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) )
| ~ spl26_52
| ~ spl26_174 ),
inference(resolution,[],[f1377,f595]) ).
fof(f2136,plain,
( spl26_288
| ~ spl26_136
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1389,f1368,f1099,f2134]) ).
fof(f1389,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) )
| ~ spl26_136
| ~ spl26_172 ),
inference(resolution,[],[f1369,f1100]) ).
fof(f2132,plain,
( spl26_287
| ~ spl26_135
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1388,f1368,f1095,f2130]) ).
fof(f1388,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl26_135
| ~ spl26_172 ),
inference(resolution,[],[f1369,f1096]) ).
fof(f2128,plain,
( spl26_286
| ~ spl26_54
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1387,f1368,f602,f2126]) ).
fof(f1387,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) )
| ~ spl26_54
| ~ spl26_172 ),
inference(resolution,[],[f1369,f603]) ).
fof(f2123,plain,
( ~ spl26_5
| ~ spl26_47
| spl26_279 ),
inference(avatar_split_clause,[],[f2094,f2079,f568,f357]) ).
fof(f2094,plain,
( ~ l1_group_1(sK0)
| ~ spl26_47
| spl26_279 ),
inference(resolution,[],[f2081,f569]) ).
fof(f2081,plain,
( ~ v1_funct_1(u1_group_1(sK0))
| spl26_279 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2122,plain,
( spl26_285
| ~ spl26_134
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1386,f1368,f1091,f2120]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK8(X0,X1)) )
| ~ spl26_134
| ~ spl26_172 ),
inference(resolution,[],[f1369,f1092]) ).
fof(f2111,plain,
( spl26_119
| ~ spl26_138
| spl26_284
| ~ spl26_205
| ~ spl26_111
| ~ spl26_146 ),
inference(avatar_split_clause,[],[f1235,f1180,f949,f1587,f2109,f1114,f1013]) ).
fof(f1235,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_111
| ~ spl26_146 ),
inference(resolution,[],[f1182,f950]) ).
fof(f2100,plain,
( spl26_119
| ~ spl26_121
| spl26_283
| ~ spl26_201
| ~ spl26_111
| ~ spl26_144 ),
inference(avatar_split_clause,[],[f1231,f1169,f949,f1560,f2098,f1021,f1013]) ).
fof(f1231,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| k7_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1) = k5_relat_1(X1,sK1)
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_2(X1,X0,u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl26_111
| ~ spl26_144 ),
inference(resolution,[],[f1171,f950]) ).
fof(f2093,plain,
( ~ spl26_279
| ~ spl26_280
| ~ spl26_281
| spl26_282
| ~ spl26_106
| ~ spl26_118 ),
inference(avatar_split_clause,[],[f1009,f1004,f916,f2091,f2087,f2083,f2079]) ).
fof(f2091,plain,
( spl26_282
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_group_1(sK0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_282])]) ).
fof(f1009,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_group_1(sK0) = X1
| ~ m1_relset_1(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_group_1(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_group_1(sK0)) )
| ~ spl26_106
| ~ spl26_118 ),
inference(superposition,[],[f917,f1006]) ).
fof(f2072,plain,
( spl26_278
| ~ spl26_137
| ~ spl26_260 ),
inference(avatar_split_clause,[],[f1977,f1972,f1103,f2070]) ).
fof(f1977,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_relat_1(X0) )
| ~ spl26_137
| ~ spl26_260 ),
inference(resolution,[],[f1973,f1104]) ).
fof(f2068,plain,
( spl26_277
| ~ spl26_131
| ~ spl26_156 ),
inference(avatar_split_clause,[],[f1268,f1264,f1079,f2066]) ).
fof(f1264,plain,
( spl26_156
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_156])]) ).
fof(f1268,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl26_131
| ~ spl26_156 ),
inference(resolution,[],[f1265,f1080]) ).
fof(f1265,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl26_156 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f2064,plain,
( spl26_276
| ~ spl26_50
| ~ spl26_131 ),
inference(avatar_split_clause,[],[f1107,f1079,f586,f2062]) ).
fof(f2062,plain,
( spl26_276
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_276])]) ).
fof(f1107,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) )
| ~ spl26_50
| ~ spl26_131 ),
inference(resolution,[],[f1080,f587]) ).
fof(f2052,plain,
( spl26_275
| ~ spl26_105
| ~ spl26_118 ),
inference(avatar_split_clause,[],[f1010,f1004,f912,f2050]) ).
fof(f2050,plain,
( spl26_275
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_275])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_105
| ~ spl26_118 ),
inference(superposition,[],[f913,f1006]) ).
fof(f2048,plain,
( spl26_274
| ~ spl26_106
| ~ spl26_118 ),
inference(avatar_split_clause,[],[f1008,f1004,f916,f2046]) ).
fof(f2046,plain,
( spl26_274
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_group_1(sK0) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_274])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK0
| u1_group_1(sK0) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_106
| ~ spl26_118 ),
inference(superposition,[],[f917,f1006]) ).
fof(f2041,plain,
( spl26_273
| ~ spl26_37
| ~ spl26_158 ),
inference(avatar_split_clause,[],[f1299,f1274,f517,f2039]) ).
fof(f2039,plain,
( spl26_273
<=> ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_273])]) ).
fof(f517,plain,
( spl26_37
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).
fof(f1274,plain,
( spl26_158
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_158])]) ).
fof(f1299,plain,
( ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl26_37
| ~ spl26_158 ),
inference(resolution,[],[f1275,f518]) ).
fof(f518,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl26_37 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f1275,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl26_158 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f2037,plain,
( spl26_272
| ~ spl26_37
| ~ spl26_157 ),
inference(avatar_split_clause,[],[f1298,f1270,f517,f2035]) ).
fof(f2035,plain,
( spl26_272
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_272])]) ).
fof(f1270,plain,
( spl26_157
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_157])]) ).
fof(f1298,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl26_37
| ~ spl26_157 ),
inference(resolution,[],[f1271,f518]) ).
fof(f1271,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl26_157 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f2033,plain,
( spl26_271
| ~ spl26_83
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1252,f1103,f764,f2031]) ).
fof(f1252,plain,
( ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_83
| ~ spl26_137 ),
inference(resolution,[],[f1104,f765]) ).
fof(f2028,plain,
( spl26_119
| ~ spl26_205
| ~ spl26_138
| spl26_270
| ~ spl26_94
| ~ spl26_146 ),
inference(avatar_split_clause,[],[f1237,f1180,f834,f2025,f1114,f1587,f1013]) ).
fof(f2025,plain,
( spl26_270
<=> v1_partfun1(sK2,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_270])]) ).
fof(f1237,plain,
( v1_partfun1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_94
| ~ spl26_146 ),
inference(resolution,[],[f1182,f835]) ).
fof(f2022,plain,
( spl26_119
| ~ spl26_201
| ~ spl26_121
| spl26_269
| ~ spl26_94
| ~ spl26_144 ),
inference(avatar_split_clause,[],[f1233,f1169,f834,f2019,f1021,f1560,f1013]) ).
fof(f2019,plain,
( spl26_269
<=> v1_partfun1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_269])]) ).
fof(f1233,plain,
( v1_partfun1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_94
| ~ spl26_144 ),
inference(resolution,[],[f1171,f835]) ).
fof(f2017,plain,
( spl26_268
| ~ spl26_37
| ~ spl26_155 ),
inference(avatar_split_clause,[],[f1267,f1260,f517,f2015]) ).
fof(f2015,plain,
( spl26_268
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_268])]) ).
fof(f1260,plain,
( spl26_155
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_155])]) ).
fof(f1267,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl26_37
| ~ spl26_155 ),
inference(resolution,[],[f1261,f518]) ).
fof(f1261,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl26_155 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f2013,plain,
( spl26_267
| ~ spl26_54
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1256,f1103,f602,f2011]) ).
fof(f2011,plain,
( spl26_267
<=> ! [X0,X1] : v1_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_267])]) ).
fof(f1256,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl26_54
| ~ spl26_137 ),
inference(resolution,[],[f1104,f603]) ).
fof(f2009,plain,
( spl26_266
| ~ spl26_134
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1255,f1103,f1091,f2007]) ).
fof(f2007,plain,
( spl26_266
<=> ! [X0,X1] : v1_relat_1(sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_266])]) ).
fof(f1255,plain,
( ! [X0,X1] : v1_relat_1(sK8(X0,X1))
| ~ spl26_134
| ~ spl26_137 ),
inference(resolution,[],[f1104,f1092]) ).
fof(f2003,plain,
( ~ spl26_165
| spl26_265
| ~ spl26_99
| ~ spl26_138 ),
inference(avatar_split_clause,[],[f1137,f1114,f863,f2001,f1316]) ).
fof(f1137,plain,
( ! [X0,X1] :
( k1_binop_1(sK2,X0,X1) = k1_funct_1(sK2,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK2) )
| ~ spl26_99
| ~ spl26_138 ),
inference(resolution,[],[f1116,f864]) ).
fof(f1997,plain,
( ~ spl26_161
| spl26_264
| ~ spl26_99
| ~ spl26_121 ),
inference(avatar_split_clause,[],[f1110,f1021,f863,f1995,f1286]) ).
fof(f1110,plain,
( ! [X0,X1] :
( k1_binop_1(sK1,X0,X1) = k1_funct_1(sK1,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK1) )
| ~ spl26_99
| ~ spl26_121 ),
inference(resolution,[],[f1023,f864]) ).
fof(f1992,plain,
( spl26_119
| ~ spl26_262
| spl26_263
| ~ spl26_89
| ~ spl26_139 ),
inference(avatar_split_clause,[],[f1146,f1127,f792,f1989,f1985,f1013]) ).
fof(f1146,plain,
( m1_subset_1(sK1,k1_autgroup(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_89
| ~ spl26_139 ),
inference(resolution,[],[f1129,f793]) ).
fof(f1983,plain,
( spl26_261
| ~ spl26_41
| ~ spl26_251 ),
inference(avatar_split_clause,[],[f1924,f1918,f534,f1980]) ).
fof(f1924,plain,
( v1_funct_1(sK6(k4_autgroup(sK0)))
| ~ spl26_41
| ~ spl26_251 ),
inference(resolution,[],[f1919,f535]) ).
fof(f1974,plain,
( spl26_119
| spl26_260
| ~ spl26_120
| ~ spl26_183 ),
inference(avatar_split_clause,[],[f1490,f1440,f1017,f1972,f1013]) ).
fof(f1017,plain,
( spl26_120
<=> m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_120])]) ).
fof(f1490,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_120
| ~ spl26_183 ),
inference(resolution,[],[f1441,f1018]) ).
fof(f1018,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_120 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1966,plain,
( spl26_119
| spl26_259
| ~ spl26_120
| ~ spl26_181 ),
inference(avatar_split_clause,[],[f1471,f1432,f1017,f1964,f1013]) ).
fof(f1471,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl26_120
| ~ spl26_181 ),
inference(resolution,[],[f1433,f1018]) ).
fof(f1962,plain,
( spl26_119
| ~ spl26_205
| ~ spl26_138
| ~ spl26_258
| ~ spl26_95
| ~ spl26_146 ),
inference(avatar_split_clause,[],[f1238,f1180,f838,f1959,f1114,f1587,f1013]) ).
fof(f1959,plain,
( spl26_258
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_258])]) ).
fof(f1238,plain,
( ~ v1_xboole_0(sK2)
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_95
| ~ spl26_146 ),
inference(duplicate_literal_removal,[],[f1236]) ).
fof(f1236,plain,
( ~ v1_xboole_0(sK2)
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_95
| ~ spl26_146 ),
inference(resolution,[],[f1182,f839]) ).
fof(f1957,plain,
( spl26_119
| ~ spl26_201
| ~ spl26_121
| ~ spl26_257
| ~ spl26_95
| ~ spl26_144 ),
inference(avatar_split_clause,[],[f1234,f1169,f838,f1954,f1021,f1560,f1013]) ).
fof(f1234,plain,
( ~ v1_xboole_0(sK1)
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_95
| ~ spl26_144 ),
inference(duplicate_literal_removal,[],[f1232]) ).
fof(f1232,plain,
( ~ v1_xboole_0(sK1)
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_95
| ~ spl26_144 ),
inference(resolution,[],[f1171,f839]) ).
fof(f1946,plain,
( ~ spl26_256
| ~ spl26_50
| ~ spl26_243 ),
inference(avatar_split_clause,[],[f1903,f1868,f586,f1943]) ).
fof(f1943,plain,
( spl26_256
<=> r2_hidden(k4_autgroup(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_256])]) ).
fof(f1868,plain,
( spl26_243
<=> r2_hidden(sK2,k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_243])]) ).
fof(f1903,plain,
( ~ r2_hidden(k4_autgroup(sK0),sK2)
| ~ spl26_50
| ~ spl26_243 ),
inference(resolution,[],[f1870,f587]) ).
fof(f1870,plain,
( r2_hidden(sK2,k4_autgroup(sK0))
| ~ spl26_243 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1941,plain,
( spl26_255
| ~ spl26_151
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1484,f1397,f1207,f1939]) ).
fof(f1207,plain,
( spl26_151
<=> m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_151])]) ).
fof(f1484,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_151
| ~ spl26_176 ),
inference(resolution,[],[f1209,f1398]) ).
fof(f1209,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_151 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1937,plain,
( spl26_254
| ~ spl26_149
| ~ spl26_176 ),
inference(avatar_split_clause,[],[f1480,f1397,f1196,f1935]) ).
fof(f1196,plain,
( spl26_149
<=> m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_149])]) ).
fof(f1480,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))) )
| ~ spl26_149
| ~ spl26_176 ),
inference(resolution,[],[f1198,f1398]) ).
fof(f1198,plain,
( m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_149 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1933,plain,
( spl26_252
| ~ spl26_253
| ~ spl26_149
| ~ spl26_172 ),
inference(avatar_split_clause,[],[f1481,f1368,f1196,f1930,f1927]) ).
fof(f1481,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ r2_hidden(X0,sK1) )
| ~ spl26_149
| ~ spl26_172 ),
inference(resolution,[],[f1198,f1369]) ).
fof(f1920,plain,
( spl26_119
| spl26_251
| ~ spl26_120
| ~ spl26_174 ),
inference(avatar_split_clause,[],[f1392,f1376,f1017,f1918,f1013]) ).
fof(f1392,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_funct_1(X0) )
| ~ spl26_120
| ~ spl26_174 ),
inference(resolution,[],[f1377,f1018]) ).
fof(f1914,plain,
( spl26_250
| ~ spl26_109
| ~ spl26_113 ),
inference(avatar_split_clause,[],[f972,f968,f935,f1912]) ).
fof(f972,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),k2_zfmisc_1(X3,X1),X5)
| k2_binop_1(X3,X1,X5,k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0) = k1_binop_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7),X2,X0)
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X3,X1),X4,X5,X6,X7))
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ m1_relset_1(X7,X4,X5)
| ~ v1_funct_2(X7,X4,X5)
| ~ v1_funct_1(X7)
| ~ m1_relset_1(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_1(X6)
| v1_xboole_0(X4) )
| ~ spl26_109
| ~ spl26_113 ),
inference(resolution,[],[f969,f936]) ).
fof(f1908,plain,
( spl26_249
| ~ spl26_109
| ~ spl26_111 ),
inference(avatar_split_clause,[],[f953,f949,f935,f1906]) ).
fof(f953,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| k7_funct_2(X5,X0,X2,X6,k7_funct_2(X0,X1,X2,X3,X4)) = k5_relat_1(X6,k7_funct_2(X0,X1,X2,X3,X4))
| ~ v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X6,X5,X0)
| ~ v1_funct_2(X6,X5,X0)
| ~ v1_funct_1(X6)
| v1_xboole_0(X0)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_109
| ~ spl26_111 ),
inference(resolution,[],[f950,f936]) ).
fof(f1899,plain,
( spl26_248
| ~ spl26_102
| ~ spl26_111 ),
inference(avatar_split_clause,[],[f952,f949,f892,f1897]) ).
fof(f952,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k7_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0),X2,k2_autgroup(X0)) = k5_relat_1(X2,k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_102
| ~ spl26_111 ),
inference(resolution,[],[f950,f893]) ).
fof(f1893,plain,
( spl26_247
| ~ spl26_104
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f944,f935,f900,f1891]) ).
fof(f944,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| ~ v3_struct_0(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0))
| v1_xboole_0(X2) )
| ~ spl26_104
| ~ spl26_109 ),
inference(resolution,[],[f936,f901]) ).
fof(f1887,plain,
( spl26_246
| ~ spl26_103
| ~ spl26_117 ),
inference(avatar_split_clause,[],[f1002,f998,f896,f1885]) ).
fof(f998,plain,
( spl26_117
<=> ! [X4,X5,X0] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_117])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2)
| ~ v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_103
| ~ spl26_117 ),
inference(duplicate_literal_removal,[],[f1001]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2)
| ~ v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_103
| ~ spl26_117 ),
inference(resolution,[],[f999,f897]) ).
fof(f999,plain,
( ! [X0,X4,X5] :
( ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_117 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1879,plain,
( spl26_245
| ~ spl26_100
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f946,f935,f880,f1877]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_100
| ~ spl26_109 ),
inference(resolution,[],[f936,f881]) ).
fof(f1875,plain,
( spl26_244
| ~ spl26_101
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f945,f935,f884,f1873]) ).
fof(f945,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0),k2_zfmisc_1(X2,X2),X2)
| l1_group_1(g1_group_1(X2,k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)))
| ~ v1_funct_1(k7_funct_2(k2_zfmisc_1(X2,X2),X1,X2,X3,X0)) )
| ~ spl26_101
| ~ spl26_109 ),
inference(resolution,[],[f936,f885]) ).
fof(f1871,plain,
( spl26_243
| spl26_147
| ~ spl26_70
| ~ spl26_143 ),
inference(avatar_split_clause,[],[f1228,f1157,f681,f1186,f1868]) ).
fof(f1186,plain,
( spl26_147
<=> v1_xboole_0(k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_147])]) ).
fof(f1157,plain,
( spl26_143
<=> m1_subset_1(sK2,k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_143])]) ).
fof(f1228,plain,
( v1_xboole_0(k4_autgroup(sK0))
| r2_hidden(sK2,k4_autgroup(sK0))
| ~ spl26_70
| ~ spl26_143 ),
inference(resolution,[],[f1159,f682]) ).
fof(f1159,plain,
( m1_subset_1(sK2,k4_autgroup(sK0))
| ~ spl26_143 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1864,plain,
( spl26_242
| ~ spl26_82
| ~ spl26_111 ),
inference(avatar_split_clause,[],[f954,f949,f760,f1862]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| k7_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),X2,u1_group_1(X0)) = k5_relat_1(X2,u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_2(X2,X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_111 ),
inference(resolution,[],[f950,f761]) ).
fof(f1828,plain,
( spl26_241
| ~ spl26_92
| ~ spl26_115 ),
inference(avatar_split_clause,[],[f990,f982,f814,f1826]) ).
fof(f814,plain,
( spl26_92
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_92])]) ).
fof(f982,plain,
( spl26_115
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_115])]) ).
fof(f990,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_92
| ~ spl26_115 ),
inference(resolution,[],[f983,f815]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_92 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f983,plain,
( ! [X0,X1] :
( m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_115 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1824,plain,
( spl26_240
| ~ spl26_93
| ~ spl26_115 ),
inference(avatar_split_clause,[],[f989,f982,f818,f1822]) ).
fof(f818,plain,
( spl26_93
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_93])]) ).
fof(f989,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_93
| ~ spl26_115 ),
inference(resolution,[],[f983,f819]) ).
fof(f819,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_93 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f1820,plain,
( spl26_239
| ~ spl26_92
| ~ spl26_114 ),
inference(avatar_split_clause,[],[f986,f978,f814,f1818]) ).
fof(f978,plain,
( spl26_114
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_114])]) ).
fof(f986,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_92
| ~ spl26_114 ),
inference(resolution,[],[f979,f815]) ).
fof(f979,plain,
( ! [X0,X1] :
( m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_114 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1816,plain,
( spl26_238
| ~ spl26_93
| ~ spl26_114 ),
inference(avatar_split_clause,[],[f985,f978,f818,f1814]) ).
fof(f985,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_93
| ~ spl26_114 ),
inference(resolution,[],[f979,f819]) ).
fof(f1812,plain,
( spl26_237
| ~ spl26_99
| ~ spl26_108 ),
inference(avatar_split_clause,[],[f933,f930,f863,f1810]) ).
fof(f1810,plain,
( spl26_237
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k1_binop_1(k7_funct_2(X4,X1,X2,X3,X0),X5,X6) = k1_funct_1(k7_funct_2(X4,X1,X2,X3,X0),k2_tarski(k1_tarski(X5),k2_tarski(X5,X6)))
| ~ v1_relat_1(k7_funct_2(X4,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_237])]) ).
fof(f930,plain,
( spl26_108
<=> ! [X4,X0,X3,X2,X1] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_108])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k1_binop_1(k7_funct_2(X4,X1,X2,X3,X0),X5,X6) = k1_funct_1(k7_funct_2(X4,X1,X2,X3,X0),k2_tarski(k1_tarski(X5),k2_tarski(X5,X6)))
| ~ v1_relat_1(k7_funct_2(X4,X1,X2,X3,X0)) )
| ~ spl26_99
| ~ spl26_108 ),
inference(resolution,[],[f931,f864]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) )
| ~ spl26_108 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1806,plain,
( spl26_236
| ~ spl26_102
| ~ spl26_113 ),
inference(avatar_split_clause,[],[f976,f968,f892,f1804]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k1_binop_1(k2_autgroup(X1),X2,X0)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_102
| ~ spl26_113 ),
inference(duplicate_literal_removal,[],[f971]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k1_binop_1(k2_autgroup(X1),X2,X0)
| ~ v1_funct_1(k2_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl26_102
| ~ spl26_113 ),
inference(resolution,[],[f969,f893]) ).
fof(f1786,plain,
( spl26_235
| ~ spl26_89
| ~ spl26_115 ),
inference(avatar_split_clause,[],[f991,f982,f792,f1784]) ).
fof(f991,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_115 ),
inference(resolution,[],[f983,f793]) ).
fof(f1782,plain,
( spl26_234
| ~ spl26_89
| ~ spl26_114 ),
inference(avatar_split_clause,[],[f987,f978,f792,f1780]) ).
fof(f987,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK4(X0,X1),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_114 ),
inference(resolution,[],[f979,f793]) ).
fof(f1774,plain,
( ~ spl26_233
| ~ spl26_50
| ~ spl26_221 ),
inference(avatar_split_clause,[],[f1725,f1693,f586,f1771]) ).
fof(f1771,plain,
( spl26_233
<=> r2_hidden(k4_autgroup(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_233])]) ).
fof(f1693,plain,
( spl26_221
<=> r2_hidden(sK1,k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_221])]) ).
fof(f1725,plain,
( ~ r2_hidden(k4_autgroup(sK0),sK1)
| ~ spl26_50
| ~ spl26_221 ),
inference(resolution,[],[f1695,f587]) ).
fof(f1695,plain,
( r2_hidden(sK1,k4_autgroup(sK0))
| ~ spl26_221 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1769,plain,
( spl26_232
| ~ spl26_94
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f943,f935,f834,f1767]) ).
fof(f943,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_partfun1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| v1_xboole_0(X2) )
| ~ spl26_94
| ~ spl26_109 ),
inference(resolution,[],[f936,f835]) ).
fof(f1765,plain,
( spl26_231
| ~ spl26_95
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f942,f935,f838,f1763]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k7_funct_2(X4,X1,X2,X3,X0))
| ~ v1_funct_1(k7_funct_2(X4,X1,X2,X3,X0))
| ~ m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4) )
| ~ spl26_95
| ~ spl26_109 ),
inference(resolution,[],[f936,f839]) ).
fof(f1745,plain,
( spl26_230
| ~ spl26_86
| ~ spl26_115 ),
inference(avatar_split_clause,[],[f992,f982,f777,f1743]) ).
fof(f777,plain,
( spl26_86
<=> ! [X0,X3,X2,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_86])]) ).
fof(f992,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK5(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_86
| ~ spl26_115 ),
inference(resolution,[],[f983,f778]) ).
fof(f778,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_86 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1741,plain,
( spl26_229
| ~ spl26_86
| ~ spl26_114 ),
inference(avatar_split_clause,[],[f988,f978,f777,f1739]) ).
fof(f988,plain,
( ! [X0,X1] :
( k2_autgroup(X0) = X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK4(X0,X1))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_86
| ~ spl26_114 ),
inference(resolution,[],[f979,f778]) ).
fof(f1736,plain,
( spl26_228
| ~ spl26_57
| ~ spl26_113 ),
inference(avatar_split_clause,[],[f974,f968,f614,f1734]) ).
fof(f974,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(sK11(k2_zfmisc_1(X3,X1),X4),k2_zfmisc_1(X3,X1),X4)
| k2_binop_1(X3,X1,X4,sK11(k2_zfmisc_1(X3,X1),X4),X2,X0) = k1_binop_1(sK11(k2_zfmisc_1(X3,X1),X4),X2,X0)
| ~ v1_funct_1(sK11(k2_zfmisc_1(X3,X1),X4))
| v1_xboole_0(X1)
| v1_xboole_0(X3) )
| ~ spl26_57
| ~ spl26_113 ),
inference(resolution,[],[f969,f615]) ).
fof(f1730,plain,
( spl26_227
| ~ spl26_82
| ~ spl26_113 ),
inference(avatar_split_clause,[],[f975,f968,f760,f1728]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X2,X0) = k1_binop_1(u1_group_1(X1),X2,X0)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) )
| ~ spl26_82
| ~ spl26_113 ),
inference(duplicate_literal_removal,[],[f973]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X2,X0) = k1_binop_1(u1_group_1(X1),X2,X0)
| ~ v1_funct_1(u1_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) )
| ~ spl26_82
| ~ spl26_113 ),
inference(resolution,[],[f969,f761]) ).
fof(f1723,plain,
( spl26_226
| ~ spl26_72
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f963,f957,f689,f1721]) ).
fof(f1721,plain,
( spl26_226
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,k1_zfmisc_1(k2_zfmisc_1(X5,X6)),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_226])]) ).
fof(f963,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,k1_zfmisc_1(k2_zfmisc_1(X5,X6)),X4,X2,X0)) )
| ~ spl26_72
| ~ spl26_112 ),
inference(resolution,[],[f958,f690]) ).
fof(f1717,plain,
( spl26_225
| ~ spl26_79
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f964,f957,f728,f1715]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| m1_subset_1(X6,X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) )
| ~ spl26_79
| ~ spl26_112 ),
inference(resolution,[],[f958,f729]) ).
fof(f1711,plain,
( spl26_224
| ~ spl26_76
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f965,f957,f714,f1709]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) )
| ~ spl26_76
| ~ spl26_112 ),
inference(resolution,[],[f958,f715]) ).
fof(f1704,plain,
( spl26_223
| ~ spl26_57
| ~ spl26_111 ),
inference(avatar_split_clause,[],[f955,f949,f614,f1702]) ).
fof(f955,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| k7_funct_2(X2,X0,X1,X3,sK11(X0,X1)) = k5_relat_1(X3,sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(X3,X2,X0)
| ~ v1_funct_2(X3,X2,X0)
| ~ v1_funct_1(X3)
| v1_xboole_0(X0) )
| ~ spl26_57
| ~ spl26_111 ),
inference(resolution,[],[f950,f615]) ).
fof(f1700,plain,
( spl26_222
| ~ spl26_94
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f906,f892,f834,f1698]) ).
fof(f906,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_94
| ~ spl26_102 ),
inference(resolution,[],[f893,f835]) ).
fof(f1696,plain,
( spl26_221
| spl26_147
| ~ spl26_70
| ~ spl26_142 ),
inference(avatar_split_clause,[],[f1153,f1149,f681,f1186,f1693]) ).
fof(f1149,plain,
( spl26_142
<=> m1_subset_1(sK1,k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_142])]) ).
fof(f1153,plain,
( v1_xboole_0(k4_autgroup(sK0))
| r2_hidden(sK1,k4_autgroup(sK0))
| ~ spl26_70
| ~ spl26_142 ),
inference(resolution,[],[f1151,f682]) ).
fof(f1151,plain,
( m1_subset_1(sK1,k4_autgroup(sK0))
| ~ spl26_142 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1683,plain,
( spl26_220
| ~ spl26_70
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f960,f957,f681,f1681]) ).
fof(f960,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X5)
| r2_hidden(k2_binop_1(X3,X1,X5,X4,X2,X0),X5) )
| ~ spl26_70
| ~ spl26_112 ),
inference(resolution,[],[f958,f682]) ).
fof(f1679,plain,
( spl26_219
| ~ spl26_95
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f905,f892,f838,f1677]) ).
fof(f905,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl26_95
| ~ spl26_102 ),
inference(resolution,[],[f893,f839]) ).
fof(f1666,plain,
( spl26_218
| ~ spl26_61
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f962,f957,f633,f1664]) ).
fof(f1664,plain,
( spl26_218
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,X5,X4,X2,X0))
| ~ v1_fraenkel(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_218])]) ).
fof(f962,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,X5,X4,X2,X0))
| ~ v1_fraenkel(X5) )
| ~ spl26_61
| ~ spl26_112 ),
inference(resolution,[],[f958,f634]) ).
fof(f1662,plain,
( spl26_217
| ~ spl26_62
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f961,f957,f637,f1660]) ).
fof(f961,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_funct_1(k2_binop_1(X3,X1,X5,X4,X2,X0))
| ~ v1_fraenkel(X5) )
| ~ spl26_62
| ~ spl26_112 ),
inference(resolution,[],[f958,f638]) ).
fof(f1658,plain,
( spl26_216
| ~ spl26_91
| ~ spl26_107 ),
inference(avatar_split_clause,[],[f928,f922,f800,f1656]) ).
fof(f800,plain,
( spl26_91
<=> ! [X2,X0,X1] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_91])]) ).
fof(f922,plain,
( spl26_107
<=> ! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_107])]) ).
fof(f928,plain,
( ! [X0] :
( m2_fraenkel(sK12(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl26_91
| ~ spl26_107 ),
inference(resolution,[],[f923,f801]) ).
fof(f801,plain,
( ! [X2,X0,X1] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_91 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_107 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f1643,plain,
( spl26_215
| ~ spl26_90
| ~ spl26_107 ),
inference(avatar_split_clause,[],[f927,f922,f796,f1641]) ).
fof(f796,plain,
( spl26_90
<=> ! [X0,X3,X2,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_90])]) ).
fof(f927,plain,
( ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl26_90
| ~ spl26_107 ),
inference(resolution,[],[f923,f797]) ).
fof(f797,plain,
( ! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_90 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1639,plain,
( spl26_214
| ~ spl26_102
| ~ spl26_104 ),
inference(avatar_split_clause,[],[f910,f900,f892,f1637]) ).
fof(f910,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_102
| ~ spl26_104 ),
inference(resolution,[],[f901,f893]) ).
fof(f1634,plain,
( spl26_213
| ~ spl26_73
| ~ spl26_110 ),
inference(avatar_split_clause,[],[f947,f939,f693,f1632]) ).
fof(f947,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_2(X3,X4,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| m1_relset_1(k7_funct_2(X4,X1,X2,X3,X0),X4,X2) )
| ~ spl26_73
| ~ spl26_110 ),
inference(resolution,[],[f940,f694]) ).
fof(f1624,plain,
( spl26_212
| ~ spl26_100
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f904,f892,f880,f1622]) ).
fof(f904,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_100
| ~ spl26_102 ),
inference(resolution,[],[f893,f881]) ).
fof(f1619,plain,
( spl26_211
| ~ spl26_101
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f903,f892,f884,f1617]) ).
fof(f903,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl26_101
| ~ spl26_102 ),
inference(resolution,[],[f893,f885]) ).
fof(f1615,plain,
( spl26_210
| ~ spl26_84
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f868,f863,f768,f1613]) ).
fof(f768,plain,
( spl26_84
<=> ! [X0,X1] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_84])]) ).
fof(f868,plain,
( ! [X2,X3,X0,X1] :
( k1_binop_1(k5_relat_1(X0,X1),X2,X3) = k1_funct_1(k5_relat_1(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_84
| ~ spl26_99 ),
inference(resolution,[],[f864,f769]) ).
fof(f769,plain,
( ! [X0,X1] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_84 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1609,plain,
( spl26_209
| ~ spl26_85
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f866,f863,f773,f1607]) ).
fof(f1607,plain,
( spl26_209
<=> ! [X2,X0,X1] :
( k1_binop_1(k2_autgroup(X0),X1,X2) = k1_funct_1(k2_autgroup(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_209])]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( k1_binop_1(k2_autgroup(X0),X1,X2) = k1_funct_1(k2_autgroup(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl26_85
| ~ spl26_99 ),
inference(resolution,[],[f864,f774]) ).
fof(f1605,plain,
( spl26_208
| ~ spl26_82
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f842,f834,f760,f1603]) ).
fof(f842,plain,
( ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_94 ),
inference(resolution,[],[f835,f761]) ).
fof(f1599,plain,
( spl26_207
| ~ spl26_82
| ~ spl26_95 ),
inference(avatar_split_clause,[],[f844,f838,f760,f1597]) ).
fof(f844,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_95 ),
inference(resolution,[],[f839,f761]) ).
fof(f1594,plain,
( spl26_206
| ~ spl26_57
| ~ spl26_104 ),
inference(avatar_split_clause,[],[f908,f900,f614,f1592]) ).
fof(f908,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl26_57
| ~ spl26_104 ),
inference(resolution,[],[f901,f615]) ).
fof(f1590,plain,
( spl26_205
| ~ spl26_73
| ~ spl26_151 ),
inference(avatar_split_clause,[],[f1240,f1207,f693,f1587]) ).
fof(f1240,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_73
| ~ spl26_151 ),
inference(resolution,[],[f1209,f694]) ).
fof(f1581,plain,
( spl26_204
| ~ spl26_82
| ~ spl26_104 ),
inference(avatar_split_clause,[],[f909,f900,f760,f1579]) ).
fof(f909,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_104 ),
inference(resolution,[],[f901,f761]) ).
fof(f1577,plain,
( spl26_203
| ~ spl26_57
| ~ spl26_101 ),
inference(avatar_split_clause,[],[f889,f884,f614,f1575]) ).
fof(f889,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_57
| ~ spl26_101 ),
inference(resolution,[],[f885,f615]) ).
fof(f1573,plain,
( spl26_202
| ~ spl26_57
| ~ spl26_100 ),
inference(avatar_split_clause,[],[f887,f880,f614,f1571]) ).
fof(f887,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl26_57
| ~ spl26_100 ),
inference(resolution,[],[f881,f615]) ).
fof(f1563,plain,
( spl26_201
| ~ spl26_73
| ~ spl26_149 ),
inference(avatar_split_clause,[],[f1239,f1196,f693,f1560]) ).
fof(f1239,plain,
( m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl26_73
| ~ spl26_149 ),
inference(resolution,[],[f1198,f694]) ).
fof(f1558,plain,
( spl26_200
| ~ spl26_82
| ~ spl26_101 ),
inference(avatar_split_clause,[],[f890,f884,f760,f1556]) ).
fof(f890,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_101 ),
inference(resolution,[],[f885,f761]) ).
fof(f1554,plain,
( spl26_199
| ~ spl26_82
| ~ spl26_100 ),
inference(avatar_split_clause,[],[f888,f880,f760,f1552]) ).
fof(f888,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_82
| ~ spl26_100 ),
inference(resolution,[],[f881,f761]) ).
fof(f1550,plain,
( spl26_198
| ~ spl26_45
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f870,f863,f550,f1548]) ).
fof(f550,plain,
( spl26_45
<=> ! [X0,X1] : v1_funct_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).
fof(f870,plain,
( ! [X2,X3,X0,X1] :
( k1_binop_1(sK11(X0,X1),X2,X3) = k1_funct_1(sK11(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(sK11(X0,X1)) )
| ~ spl26_45
| ~ spl26_99 ),
inference(resolution,[],[f864,f551]) ).
fof(f551,plain,
( ! [X0,X1] : v1_funct_1(sK11(X0,X1))
| ~ spl26_45 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f1546,plain,
( spl26_197
| ~ spl26_43
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f869,f863,f542,f1544]) ).
fof(f542,plain,
( spl26_43
<=> ! [X0,X1] : v1_funct_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).
fof(f869,plain,
( ! [X2,X3,X0,X1] :
( k1_binop_1(sK10(X0,X1),X2,X3) = k1_funct_1(sK10(X0,X1),k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))
| ~ v1_relat_1(sK10(X0,X1)) )
| ~ spl26_43
| ~ spl26_99 ),
inference(resolution,[],[f864,f543]) ).
fof(f543,plain,
( ! [X0,X1] : v1_funct_1(sK10(X0,X1))
| ~ spl26_43 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1541,plain,
( spl26_196
| ~ spl26_73
| ~ spl26_103 ),
inference(avatar_split_clause,[],[f907,f896,f693,f1539]) ).
fof(f907,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ spl26_73
| ~ spl26_103 ),
inference(resolution,[],[f897,f694]) ).
fof(f1537,plain,
( spl26_195
| ~ spl26_47
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f867,f863,f568,f1535]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( k1_binop_1(u1_group_1(X0),X1,X2) = k1_funct_1(u1_group_1(X0),k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl26_47
| ~ spl26_99 ),
inference(resolution,[],[f864,f569]) ).
fof(f1531,plain,
( spl26_194
| ~ spl26_57
| ~ spl26_95 ),
inference(avatar_split_clause,[],[f843,f838,f614,f1529]) ).
fof(f843,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_57
| ~ spl26_95 ),
inference(resolution,[],[f839,f615]) ).
fof(f1527,plain,
( spl26_193
| ~ spl26_57
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f841,f834,f614,f1525]) ).
fof(f841,plain,
( ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_57
| ~ spl26_94 ),
inference(resolution,[],[f835,f615]) ).
fof(f1518,plain,
( spl26_192
| ~ spl26_125
| ~ spl26_12
| ~ spl26_32
| ~ spl26_33
| ~ spl26_48
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f876,f863,f572,f497,f492,f392,f1046,f1516]) ).
fof(f1046,plain,
( spl26_125
<=> v1_relat_1(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_125])]) ).
fof(f392,plain,
( spl26_12
<=> v1_xboole_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f492,plain,
( spl26_32
<=> v1_funct_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f497,plain,
( spl26_33
<=> v1_xboole_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).
fof(f572,plain,
( spl26_48
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_48])]) ).
fof(f876,plain,
( ! [X0,X1] :
( ~ v1_relat_1(sK16)
| k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) )
| ~ spl26_12
| ~ spl26_32
| ~ spl26_33
| ~ spl26_48
| ~ spl26_99 ),
inference(forward_demodulation,[],[f875,f583]) ).
fof(f583,plain,
( sK16 = sK24
| ~ spl26_12
| ~ spl26_33
| ~ spl26_48 ),
inference(forward_demodulation,[],[f581,f580]) ).
fof(f580,plain,
( k1_xboole_0 = sK16
| ~ spl26_12
| ~ spl26_48 ),
inference(resolution,[],[f573,f394]) ).
fof(f394,plain,
( v1_xboole_0(sK16)
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f573,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl26_48 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f581,plain,
( k1_xboole_0 = sK24
| ~ spl26_33
| ~ spl26_48 ),
inference(resolution,[],[f573,f499]) ).
fof(f499,plain,
( v1_xboole_0(sK24)
| ~ spl26_33 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f875,plain,
( ! [X0,X1] :
( k1_binop_1(sK16,X0,X1) = k1_funct_1(sK16,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK24) )
| ~ spl26_12
| ~ spl26_32
| ~ spl26_33
| ~ spl26_48
| ~ spl26_99 ),
inference(forward_demodulation,[],[f873,f583]) ).
fof(f873,plain,
( ! [X0,X1] :
( k1_binop_1(sK24,X0,X1) = k1_funct_1(sK24,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK24) )
| ~ spl26_32
| ~ spl26_99 ),
inference(resolution,[],[f864,f494]) ).
fof(f494,plain,
( v1_funct_1(sK24)
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1512,plain,
( ~ spl26_29
| spl26_191
| ~ spl26_30
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f872,f863,f482,f1510,f477]) ).
fof(f477,plain,
( spl26_29
<=> v1_relat_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f482,plain,
( spl26_30
<=> v1_funct_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f872,plain,
( ! [X0,X1] :
( k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK23) )
| ~ spl26_30
| ~ spl26_99 ),
inference(resolution,[],[f864,f484]) ).
fof(f484,plain,
( v1_funct_1(sK23)
| ~ spl26_30 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f1506,plain,
( ~ spl26_27
| spl26_190
| ~ spl26_28
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f871,f863,f472,f1504,f467]) ).
fof(f467,plain,
( spl26_27
<=> v1_relat_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f472,plain,
( spl26_28
<=> v1_funct_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f871,plain,
( ! [X0,X1] :
( k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_relat_1(sK22) )
| ~ spl26_28
| ~ spl26_99 ),
inference(resolution,[],[f864,f474]) ).
fof(f474,plain,
( v1_funct_1(sK22)
| ~ spl26_28 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1502,plain,
( spl26_189
| ~ spl26_70
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f737,f724,f681,f1500]) ).
fof(f724,plain,
( spl26_78
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_78])]) ).
fof(f737,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl26_70
| ~ spl26_78 ),
inference(resolution,[],[f725,f682]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl26_78 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1495,plain,
( spl26_188
| ~ spl26_70
| ~ spl26_77 ),
inference(avatar_split_clause,[],[f732,f720,f681,f1493]) ).
fof(f720,plain,
( spl26_77
<=> ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_77])]) ).
fof(f732,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl26_70
| ~ spl26_77 ),
inference(resolution,[],[f721,f682]) ).
fof(f721,plain,
( ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl26_77 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1479,plain,
( spl26_1
| ~ spl26_46
| ~ spl26_63
| ~ spl26_119 ),
inference(avatar_split_clause,[],[f1118,f1013,f641,f563,f337]) ).
fof(f563,plain,
( spl26_46
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f641,plain,
( spl26_63
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_63])]) ).
fof(f1118,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl26_63
| ~ spl26_119 ),
inference(resolution,[],[f1015,f642]) ).
fof(f642,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl26_63 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1015,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_119 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1458,plain,
( spl26_187
| ~ spl26_58
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f861,f850,f618,f1456]) ).
fof(f1456,plain,
( spl26_187
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_187])]) ).
fof(f861,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) )
| ~ spl26_58
| ~ spl26_97 ),
inference(resolution,[],[f851,f619]) ).
fof(f1454,plain,
( spl26_186
| ~ spl26_59
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f860,f850,f622,f1452]) ).
fof(f1452,plain,
( spl26_186
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_186])]) ).
fof(f860,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) )
| ~ spl26_59
| ~ spl26_97 ),
inference(resolution,[],[f851,f623]) ).
fof(f1450,plain,
( spl26_185
| ~ spl26_58
| ~ spl26_96 ),
inference(avatar_split_clause,[],[f859,f846,f618,f1448]) ).
fof(f1448,plain,
( spl26_185
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_185])]) ).
fof(f859,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_autgroup(X0)) )
| ~ spl26_58
| ~ spl26_96 ),
inference(resolution,[],[f847,f619]) ).
fof(f1446,plain,
( spl26_184
| ~ spl26_59
| ~ spl26_96 ),
inference(avatar_split_clause,[],[f858,f846,f622,f1444]) ).
fof(f1444,plain,
( spl26_184
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k4_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_184])]) ).
fof(f858,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k4_autgroup(X0)) )
| ~ spl26_59
| ~ spl26_96 ),
inference(resolution,[],[f847,f623]) ).
fof(f1442,plain,
( spl26_183
| ~ spl26_90
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f832,f818,f796,f1440]) ).
fof(f832,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl26_90
| ~ spl26_93 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_90
| ~ spl26_93 ),
inference(resolution,[],[f819,f797]) ).
fof(f1438,plain,
( spl26_182
| ~ spl26_91
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f831,f818,f800,f1436]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_91
| ~ spl26_93 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_91
| ~ spl26_93 ),
inference(resolution,[],[f819,f801]) ).
fof(f1434,plain,
( spl26_181
| ~ spl26_90
| ~ spl26_92 ),
inference(avatar_split_clause,[],[f826,f814,f796,f1432]) ).
fof(f826,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl26_90
| ~ spl26_92 ),
inference(duplicate_literal_removal,[],[f823]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_90
| ~ spl26_92 ),
inference(resolution,[],[f815,f797]) ).
fof(f1430,plain,
( spl26_180
| ~ spl26_91
| ~ spl26_92 ),
inference(avatar_split_clause,[],[f825,f814,f800,f1428]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_91
| ~ spl26_92 ),
inference(duplicate_literal_removal,[],[f824]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl26_91
| ~ spl26_92 ),
inference(resolution,[],[f815,f801]) ).
fof(f1411,plain,
( spl26_179
| ~ spl26_89
| ~ spl26_91 ),
inference(avatar_split_clause,[],[f812,f800,f792,f1409]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,X0),X0) )
| ~ spl26_89
| ~ spl26_91 ),
inference(duplicate_literal_removal,[],[f809]) ).
fof(f809,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,X0),X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_89
| ~ spl26_91 ),
inference(resolution,[],[f801,f793]) ).
fof(f1407,plain,
( spl26_178
| ~ spl26_73
| ~ spl26_83 ),
inference(avatar_split_clause,[],[f771,f764,f693,f1405]) ).
fof(f771,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl26_73
| ~ spl26_83 ),
inference(resolution,[],[f765,f694]) ).
fof(f1403,plain,
( spl26_177
| ~ spl26_77
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f743,f728,f720,f1401]) ).
fof(f743,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl26_77
| ~ spl26_79 ),
inference(resolution,[],[f729,f721]) ).
fof(f1399,plain,
( spl26_176
| ~ spl26_78
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f742,f728,f724,f1397]) ).
fof(f742,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl26_78
| ~ spl26_79 ),
inference(resolution,[],[f729,f725]) ).
fof(f1382,plain,
( spl26_175
| ~ spl26_86
| ~ spl26_91 ),
inference(avatar_split_clause,[],[f811,f800,f777,f1380]) ).
fof(f811,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK12(X1,X2,X0)) )
| ~ spl26_86
| ~ spl26_91 ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK12(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl26_86
| ~ spl26_91 ),
inference(resolution,[],[f801,f778]) ).
fof(f1378,plain,
( spl26_174
| ~ spl26_86
| ~ spl26_90 ),
inference(avatar_split_clause,[],[f807,f796,f777,f1376]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl26_86
| ~ spl26_90 ),
inference(duplicate_literal_removal,[],[f806]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3) )
| ~ spl26_86
| ~ spl26_90 ),
inference(resolution,[],[f797,f778]) ).
fof(f1374,plain,
( spl26_173
| ~ spl26_62
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f738,f724,f637,f1372]) ).
fof(f1372,plain,
( spl26_173
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_173])]) ).
fof(f738,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl26_62
| ~ spl26_78 ),
inference(resolution,[],[f725,f638]) ).
fof(f1370,plain,
( spl26_172
| ~ spl26_76
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f736,f724,f714,f1368]) ).
fof(f736,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl26_76
| ~ spl26_78 ),
inference(resolution,[],[f725,f715]) ).
fof(f1366,plain,
( spl26_171
| ~ spl26_61
| ~ spl26_77 ),
inference(avatar_split_clause,[],[f734,f720,f633,f1364]) ).
fof(f1364,plain,
( spl26_171
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK3(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_171])]) ).
fof(f734,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK3(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl26_61
| ~ spl26_77 ),
inference(resolution,[],[f721,f634]) ).
fof(f1362,plain,
( spl26_170
| ~ spl26_62
| ~ spl26_77 ),
inference(avatar_split_clause,[],[f733,f720,f637,f1360]) ).
fof(f1360,plain,
( spl26_170
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK3(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_170])]) ).
fof(f733,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK3(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl26_62
| ~ spl26_77 ),
inference(resolution,[],[f721,f638]) ).
fof(f1355,plain,
( spl26_169
| ~ spl26_67
| ~ spl26_70 ),
inference(avatar_split_clause,[],[f701,f681,f658,f1353]) ).
fof(f658,plain,
( spl26_67
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_67])]) ).
fof(f701,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl26_67
| ~ spl26_70 ),
inference(resolution,[],[f682,f659]) ).
fof(f659,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl26_67 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f1346,plain,
( spl26_168
| ~ spl26_26
| ~ spl26_25
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f758,f745,f457,f462,f1343]) ).
fof(f462,plain,
( spl26_26
<=> v1_group_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f745,plain,
( spl26_80
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_80])]) ).
fof(f758,plain,
( ~ v1_group_1(sK21)
| sK21 = g1_group_1(u1_struct_0(sK21),u1_group_1(sK21))
| ~ spl26_25
| ~ spl26_80 ),
inference(resolution,[],[f746,f459]) ).
fof(f459,plain,
( l1_group_1(sK21)
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f746,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 )
| ~ spl26_80 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f1337,plain,
( spl26_167
| ~ spl26_22
| ~ spl26_20
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f757,f745,f432,f442,f1334]) ).
fof(f442,plain,
( spl26_22
<=> v1_group_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f757,plain,
( ~ v1_group_1(sK20)
| sK20 = g1_group_1(u1_struct_0(sK20),u1_group_1(sK20))
| ~ spl26_20
| ~ spl26_80 ),
inference(resolution,[],[f746,f434]) ).
fof(f434,plain,
( l1_group_1(sK20)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1328,plain,
( spl26_166
| ~ spl26_19
| ~ spl26_17
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f756,f745,f417,f427,f1325]) ).
fof(f427,plain,
( spl26_19
<=> v1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f756,plain,
( ~ v1_group_1(sK19)
| sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19))
| ~ spl26_17
| ~ spl26_80 ),
inference(resolution,[],[f746,f419]) ).
fof(f419,plain,
( l1_group_1(sK19)
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f1319,plain,
( spl26_165
| ~ spl26_137
| ~ spl26_151 ),
inference(avatar_split_clause,[],[f1254,f1207,f1103,f1316]) ).
fof(f1254,plain,
( v1_relat_1(sK2)
| ~ spl26_137
| ~ spl26_151 ),
inference(resolution,[],[f1104,f1209]) ).
fof(f1314,plain,
( spl26_163
| ~ spl26_164
| ~ spl26_11
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f755,f745,f387,f1311,f1307]) ).
fof(f1307,plain,
( spl26_163
<=> sK15 = g1_group_1(u1_struct_0(sK15),u1_group_1(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_163])]) ).
fof(f1311,plain,
( spl26_164
<=> v1_group_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_164])]) ).
fof(f387,plain,
( spl26_11
<=> l1_group_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f755,plain,
( ~ v1_group_1(sK15)
| sK15 = g1_group_1(u1_struct_0(sK15),u1_group_1(sK15))
| ~ spl26_11
| ~ spl26_80 ),
inference(resolution,[],[f746,f389]) ).
fof(f389,plain,
( l1_group_1(sK15)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1305,plain,
( spl26_162
| ~ spl26_67
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f741,f728,f658,f1303]) ).
fof(f1303,plain,
( spl26_162
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_162])]) ).
fof(f741,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl26_67
| ~ spl26_79 ),
inference(resolution,[],[f729,f659]) ).
fof(f1289,plain,
( spl26_161
| ~ spl26_137
| ~ spl26_149 ),
inference(avatar_split_clause,[],[f1253,f1196,f1103,f1286]) ).
fof(f1253,plain,
( v1_relat_1(sK1)
| ~ spl26_137
| ~ spl26_149 ),
inference(resolution,[],[f1104,f1198]) ).
fof(f1284,plain,
( spl26_160
| ~ spl26_41
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f740,f728,f534,f1282]) ).
fof(f740,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) )
| ~ spl26_41
| ~ spl26_79 ),
inference(resolution,[],[f729,f535]) ).
fof(f1280,plain,
( spl26_159
| ~ spl26_67
| ~ spl26_76 ),
inference(avatar_split_clause,[],[f718,f714,f658,f1278]) ).
fof(f1278,plain,
( spl26_159
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_159])]) ).
fof(f718,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl26_67
| ~ spl26_76 ),
inference(resolution,[],[f715,f659]) ).
fof(f1276,plain,
( spl26_158
| ~ spl26_61
| ~ spl26_67 ),
inference(avatar_split_clause,[],[f668,f658,f633,f1274]) ).
fof(f668,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl26_61
| ~ spl26_67 ),
inference(resolution,[],[f659,f634]) ).
fof(f1272,plain,
( spl26_157
| ~ spl26_62
| ~ spl26_67 ),
inference(avatar_split_clause,[],[f667,f658,f637,f1270]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl26_62
| ~ spl26_67 ),
inference(resolution,[],[f659,f638]) ).
fof(f1266,plain,
( spl26_156
| ~ spl26_41
| ~ spl26_76 ),
inference(avatar_split_clause,[],[f717,f714,f534,f1264]) ).
fof(f717,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) )
| ~ spl26_41
| ~ spl26_76 ),
inference(resolution,[],[f715,f535]) ).
fof(f1262,plain,
( spl26_155
| ~ spl26_67
| ~ spl26_72 ),
inference(avatar_split_clause,[],[f703,f689,f658,f1260]) ).
fof(f703,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_67
| ~ spl26_72 ),
inference(resolution,[],[f690,f659]) ).
fof(f1227,plain,
( spl26_154
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| ~ spl26_153 ),
inference(avatar_split_clause,[],[f1222,f1218,f1027,f1013,f572,f1224]) ).
fof(f1224,plain,
( spl26_154
<=> m2_fraenkel(sK2,sK16,sK16,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_154])]) ).
fof(f1027,plain,
( spl26_122
<=> k1_xboole_0 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_122])]) ).
fof(f1222,plain,
( m2_fraenkel(sK2,sK16,sK16,k1_autgroup(sK0))
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| ~ spl26_153 ),
inference(forward_demodulation,[],[f1220,f1161]) ).
fof(f1161,plain,
( u1_struct_0(sK0) = sK16
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122 ),
inference(forward_demodulation,[],[f1121,f1029]) ).
fof(f1029,plain,
( k1_xboole_0 = sK16
| ~ spl26_122 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1121,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ spl26_48
| ~ spl26_119 ),
inference(resolution,[],[f1015,f573]) ).
fof(f1221,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| spl26_153
| ~ spl26_7
| ~ spl26_107 ),
inference(avatar_split_clause,[],[f926,f922,f367,f1218,f357,f352,f347,f342,f337]) ).
fof(f367,plain,
( spl26_7
<=> m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f926,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl26_7
| ~ spl26_107 ),
inference(resolution,[],[f923,f369]) ).
fof(f369,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f1216,plain,
( ~ spl26_152
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_151 ),
inference(avatar_split_clause,[],[f1211,f1207,f1027,f1013,f572,f1213]) ).
fof(f1213,plain,
( spl26_152
<=> m2_relset_1(sK2,sK16,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_152])]) ).
fof(f1211,plain,
( ~ m2_relset_1(sK2,sK16,sK16)
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_151 ),
inference(forward_demodulation,[],[f1208,f1161]) ).
fof(f1208,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_151 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1210,plain,
( spl26_119
| ~ spl26_120
| spl26_151
| ~ spl26_7
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f828,f818,f367,f1207,f1017,f1013]) ).
fof(f828,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_7
| ~ spl26_93 ),
inference(resolution,[],[f819,f369]) ).
fof(f1205,plain,
( ~ spl26_150
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_149 ),
inference(avatar_split_clause,[],[f1200,f1196,f1027,f1013,f572,f1202]) ).
fof(f1202,plain,
( spl26_150
<=> m2_relset_1(sK1,sK16,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_150])]) ).
fof(f1200,plain,
( ~ m2_relset_1(sK1,sK16,sK16)
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_149 ),
inference(forward_demodulation,[],[f1197,f1161]) ).
fof(f1197,plain,
( ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_149 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1199,plain,
( spl26_119
| ~ spl26_120
| spl26_149
| ~ spl26_6
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f827,f818,f362,f1196,f1017,f1013]) ).
fof(f362,plain,
( spl26_6
<=> m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f827,plain,
( m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_6
| ~ spl26_93 ),
inference(resolution,[],[f819,f364]) ).
fof(f364,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1194,plain,
( ~ spl26_148
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_146 ),
inference(avatar_split_clause,[],[f1184,f1180,f1027,f1013,f572,f1191]) ).
fof(f1191,plain,
( spl26_148
<=> v1_funct_2(sK2,sK16,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_148])]) ).
fof(f1184,plain,
( ~ v1_funct_2(sK2,sK16,sK16)
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_146 ),
inference(forward_demodulation,[],[f1181,f1161]) ).
fof(f1181,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_146 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1189,plain,
( ~ spl26_147
| ~ spl26_58
| ~ spl26_120 ),
inference(avatar_split_clause,[],[f1112,f1017,f618,f1186]) ).
fof(f1112,plain,
( ~ v1_xboole_0(k4_autgroup(sK0))
| ~ spl26_58
| ~ spl26_120 ),
inference(resolution,[],[f1018,f619]) ).
fof(f1183,plain,
( spl26_119
| ~ spl26_120
| spl26_146
| ~ spl26_7
| ~ spl26_92 ),
inference(avatar_split_clause,[],[f822,f814,f367,f1180,f1017,f1013]) ).
fof(f822,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_7
| ~ spl26_92 ),
inference(resolution,[],[f815,f369]) ).
fof(f1178,plain,
( ~ spl26_145
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_144 ),
inference(avatar_split_clause,[],[f1173,f1169,f1027,f1013,f572,f1175]) ).
fof(f1175,plain,
( spl26_145
<=> v1_funct_2(sK1,sK16,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_145])]) ).
fof(f1173,plain,
( ~ v1_funct_2(sK1,sK16,sK16)
| ~ spl26_48
| ~ spl26_119
| ~ spl26_122
| spl26_144 ),
inference(forward_demodulation,[],[f1170,f1161]) ).
fof(f1170,plain,
( ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_144 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1172,plain,
( spl26_119
| ~ spl26_120
| spl26_144
| ~ spl26_6
| ~ spl26_92 ),
inference(avatar_split_clause,[],[f821,f814,f362,f1169,f1017,f1013]) ).
fof(f821,plain,
( v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_6
| ~ spl26_92 ),
inference(resolution,[],[f815,f364]) ).
fof(f1160,plain,
( spl26_119
| ~ spl26_120
| spl26_143
| ~ spl26_7
| ~ spl26_89 ),
inference(avatar_split_clause,[],[f804,f792,f367,f1157,f1017,f1013]) ).
fof(f804,plain,
( m1_subset_1(sK2,k4_autgroup(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_7
| ~ spl26_89 ),
inference(resolution,[],[f793,f369]) ).
fof(f1152,plain,
( spl26_119
| ~ spl26_120
| spl26_142
| ~ spl26_6
| ~ spl26_89 ),
inference(avatar_split_clause,[],[f803,f792,f362,f1149,f1017,f1013]) ).
fof(f803,plain,
( m1_subset_1(sK1,k4_autgroup(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_6
| ~ spl26_89 ),
inference(resolution,[],[f793,f364]) ).
fof(f1143,plain,
( spl26_141
| ~ spl26_59
| ~ spl26_120 ),
inference(avatar_split_clause,[],[f1111,f1017,f622,f1140]) ).
fof(f1140,plain,
( spl26_141
<=> v1_fraenkel(k4_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_141])]) ).
fof(f1111,plain,
( v1_fraenkel(k4_autgroup(sK0))
| ~ spl26_59
| ~ spl26_120 ),
inference(resolution,[],[f1018,f623]) ).
fof(f1136,plain,
( spl26_140
| ~ spl26_119
| ~ spl26_130
| ~ spl26_139 ),
inference(avatar_split_clause,[],[f1131,f1127,f1070,f1013,f1133]) ).
fof(f1133,plain,
( spl26_140
<=> m2_fraenkel(sK1,sK16,sK16,k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_140])]) ).
fof(f1131,plain,
( m2_fraenkel(sK1,sK16,sK16,k1_autgroup(sK0))
| ~ spl26_119
| ~ spl26_130
| ~ spl26_139 ),
inference(forward_demodulation,[],[f1129,f1119]) ).
fof(f1119,plain,
( u1_struct_0(sK0) = sK16
| ~ spl26_119
| ~ spl26_130 ),
inference(resolution,[],[f1015,f1071]) ).
fof(f1130,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| spl26_139
| ~ spl26_6
| ~ spl26_107 ),
inference(avatar_split_clause,[],[f925,f922,f362,f1127,f357,f352,f347,f342,f337]) ).
fof(f925,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl26_6
| ~ spl26_107 ),
inference(resolution,[],[f923,f364]) ).
fof(f1117,plain,
( spl26_119
| ~ spl26_120
| spl26_138
| ~ spl26_7
| ~ spl26_86 ),
inference(avatar_split_clause,[],[f786,f777,f367,f1114,f1017,f1013]) ).
fof(f786,plain,
( v1_funct_1(sK2)
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_7
| ~ spl26_86 ),
inference(resolution,[],[f778,f369]) ).
fof(f1109,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_96
| spl26_120 ),
inference(avatar_split_clause,[],[f1025,f1017,f846,f357,f352,f347,f342,f337]) ).
fof(f1025,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl26_96
| spl26_120 ),
inference(resolution,[],[f1019,f847]) ).
fof(f1019,plain,
( ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_120 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1105,plain,
( spl26_137
| ~ spl26_72
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f735,f724,f689,f1103]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl26_72
| ~ spl26_78 ),
inference(resolution,[],[f725,f690]) ).
fof(f1101,plain,
( spl26_136
| ~ spl26_56
| ~ spl26_74 ),
inference(avatar_split_clause,[],[f712,f697,f610,f1099]) ).
fof(f712,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl26_56
| ~ spl26_74 ),
inference(resolution,[],[f698,f611]) ).
fof(f1097,plain,
( spl26_135
| ~ spl26_55
| ~ spl26_74 ),
inference(avatar_split_clause,[],[f711,f697,f606,f1095]) ).
fof(f606,plain,
( spl26_55
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_55])]) ).
fof(f711,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl26_55
| ~ spl26_74 ),
inference(resolution,[],[f698,f607]) ).
fof(f607,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl26_55 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1093,plain,
( spl26_134
| ~ spl26_53
| ~ spl26_74 ),
inference(avatar_split_clause,[],[f710,f697,f598,f1091]) ).
fof(f598,plain,
( spl26_53
<=> ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_53])]) ).
fof(f710,plain,
( ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1)
| ~ spl26_53
| ~ spl26_74 ),
inference(resolution,[],[f698,f599]) ).
fof(f599,plain,
( ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1)
| ~ spl26_53 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f1089,plain,
( spl26_133
| ~ spl26_54
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f704,f693,f602,f1087]) ).
fof(f1087,plain,
( spl26_133
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_133])]) ).
fof(f704,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl26_54
| ~ spl26_73 ),
inference(resolution,[],[f694,f603]) ).
fof(f1085,plain,
( spl26_132
| ~ spl26_41
| ~ spl26_72 ),
inference(avatar_split_clause,[],[f702,f689,f534,f1083]) ).
fof(f1083,plain,
( spl26_132
<=> ! [X0,X1] : v1_relat_1(sK6(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_132])]) ).
fof(f702,plain,
( ! [X0,X1] : v1_relat_1(sK6(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl26_41
| ~ spl26_72 ),
inference(resolution,[],[f690,f535]) ).
fof(f1081,plain,
( spl26_131
| ~ spl26_41
| ~ spl26_70 ),
inference(avatar_split_clause,[],[f700,f681,f534,f1079]) ).
fof(f700,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) )
| ~ spl26_41
| ~ spl26_70 ),
inference(resolution,[],[f682,f535]) ).
fof(f1072,plain,
( spl26_130
| ~ spl26_12
| ~ spl26_68 ),
inference(avatar_split_clause,[],[f675,f662,f392,f1070]) ).
fof(f675,plain,
( ! [X0] :
( sK16 = X0
| ~ v1_xboole_0(X0) )
| ~ spl26_12
| ~ spl26_68 ),
inference(resolution,[],[f663,f394]) ).
fof(f1068,plain,
( spl26_129
| ~ spl26_41
| ~ spl26_62 ),
inference(avatar_split_clause,[],[f666,f637,f534,f1066]) ).
fof(f666,plain,
( ! [X0] :
( v1_funct_1(sK6(X0))
| ~ v1_fraenkel(X0) )
| ~ spl26_41
| ~ spl26_62 ),
inference(resolution,[],[f638,f535]) ).
fof(f1064,plain,
( spl26_128
| ~ spl26_41
| ~ spl26_61 ),
inference(avatar_split_clause,[],[f665,f633,f534,f1062]) ).
fof(f665,plain,
( ! [X0] :
( v1_relat_1(sK6(X0))
| ~ v1_fraenkel(X0) )
| ~ spl26_41
| ~ spl26_61 ),
inference(resolution,[],[f634,f535]) ).
fof(f1060,plain,
( spl26_127
| ~ spl26_52
| ~ spl26_59 ),
inference(avatar_split_clause,[],[f631,f622,f594,f1058]) ).
fof(f1058,plain,
( spl26_127
<=> ! [X0,X1] : v1_fraenkel(sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_127])]) ).
fof(f631,plain,
( ! [X0,X1] : v1_fraenkel(sK7(X0,X1))
| ~ spl26_52
| ~ spl26_59 ),
inference(resolution,[],[f623,f595]) ).
fof(f1056,plain,
( spl26_126
| ~ spl26_52
| ~ spl26_58 ),
inference(avatar_split_clause,[],[f630,f618,f594,f1054]) ).
fof(f1054,plain,
( spl26_126
<=> ! [X0,X1] : ~ v1_xboole_0(sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_126])]) ).
fof(f630,plain,
( ! [X0,X1] : ~ v1_xboole_0(sK7(X0,X1))
| ~ spl26_52
| ~ spl26_58 ),
inference(resolution,[],[f619,f595]) ).
fof(f1049,plain,
( spl26_125
| ~ spl26_31
| ~ spl26_123 ),
inference(avatar_split_clause,[],[f1044,f1032,f487,f1046]) ).
fof(f487,plain,
( spl26_31
<=> v1_relat_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).
fof(f1032,plain,
( spl26_123
<=> sK16 = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_123])]) ).
fof(f1044,plain,
( v1_relat_1(sK16)
| ~ spl26_31
| ~ spl26_123 ),
inference(superposition,[],[f489,f1034]) ).
fof(f1034,plain,
( sK16 = sK24
| ~ spl26_123 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f489,plain,
( v1_relat_1(sK24)
| ~ spl26_31 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1040,plain,
( spl26_124
| ~ spl26_12
| ~ spl26_35
| ~ spl26_48 ),
inference(avatar_split_clause,[],[f584,f572,f507,f392,f1037]) ).
fof(f1037,plain,
( spl26_124
<=> sK16 = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_124])]) ).
fof(f507,plain,
( spl26_35
<=> v1_xboole_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).
fof(f584,plain,
( sK16 = sK25
| ~ spl26_12
| ~ spl26_35
| ~ spl26_48 ),
inference(forward_demodulation,[],[f582,f580]) ).
fof(f582,plain,
( k1_xboole_0 = sK25
| ~ spl26_35
| ~ spl26_48 ),
inference(resolution,[],[f573,f509]) ).
fof(f509,plain,
( v1_xboole_0(sK25)
| ~ spl26_35 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1035,plain,
( spl26_123
| ~ spl26_12
| ~ spl26_33
| ~ spl26_48 ),
inference(avatar_split_clause,[],[f583,f572,f497,f392,f1032]) ).
fof(f1030,plain,
( spl26_122
| ~ spl26_12
| ~ spl26_48 ),
inference(avatar_split_clause,[],[f580,f572,f392,f1027]) ).
fof(f1024,plain,
( spl26_119
| ~ spl26_120
| spl26_121
| ~ spl26_6
| ~ spl26_86 ),
inference(avatar_split_clause,[],[f785,f777,f362,f1021,f1017,f1013]) ).
fof(f785,plain,
( v1_funct_1(sK1)
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_6
| ~ spl26_86 ),
inference(resolution,[],[f778,f364]) ).
fof(f1007,plain,
( spl26_118
| ~ spl26_2
| ~ spl26_5
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f754,f745,f357,f342,f1004]) ).
fof(f754,plain,
( ~ v1_group_1(sK0)
| sK0 = g1_group_1(u1_struct_0(sK0),u1_group_1(sK0))
| ~ spl26_5
| ~ spl26_80 ),
inference(resolution,[],[f746,f359]) ).
fof(f359,plain,
( l1_group_1(sK0)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f1000,plain,
spl26_117,
inference(avatar_split_clause,[],[f335,f998]) ).
fof(f335,plain,
! [X0,X4,X5] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X4,X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_autgroup(X0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),sK5(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK5(X0,X1),sK4(X0,X1))
& m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f167,f169,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
=> ( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,sK4(X0,X1))
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,sK4(X0,X1))
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
=> ( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),sK5(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK5(X0,X1),sK4(X0,X1))
& m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ? [X2] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ? [X2] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( k2_autgroup(X0) = X1
<=> ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( k2_autgroup(X0) = X1
<=> ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(X1) )
=> ( k2_autgroup(X0) = X1
<=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_autgroup) ).
fof(f996,plain,
spl26_116,
inference(avatar_split_clause,[],[f244,f994]) ).
fof(f994,plain,
( spl26_116
<=> ! [X0,X1] :
( k2_autgroup(X0) = X1
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),sK5(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK5(X0,X1),sK4(X0,X1))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_116])]) ).
fof(f244,plain,
! [X0,X1] :
( k2_autgroup(X0) = X1
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK4(X0,X1),sK5(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK5(X0,X1),sK4(X0,X1))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f984,plain,
spl26_115,
inference(avatar_split_clause,[],[f243,f982]) ).
fof(f243,plain,
! [X0,X1] :
( k2_autgroup(X0) = X1
| m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f980,plain,
spl26_114,
inference(avatar_split_clause,[],[f242,f978]) ).
fof(f242,plain,
! [X0,X1] :
( k2_autgroup(X0) = X1
| m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f970,plain,
spl26_113,
inference(avatar_split_clause,[],[f305,f968]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f959,plain,
spl26_112,
inference(avatar_split_clause,[],[f304,f957]) ).
fof(f304,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_binop_1) ).
fof(f951,plain,
spl26_111,
inference(avatar_split_clause,[],[f300,f949]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f941,plain,
spl26_110,
inference(avatar_split_clause,[],[f303,f939]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f937,plain,
spl26_109,
inference(avatar_split_clause,[],[f302,f935]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f932,plain,
spl26_108,
inference(avatar_split_clause,[],[f301,f930]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f924,plain,
spl26_107,
inference(avatar_split_clause,[],[f240,f922]) ).
fof(f240,plain,
! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f918,plain,
spl26_106,
inference(avatar_split_clause,[],[f270,f916]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f914,plain,
spl26_105,
inference(avatar_split_clause,[],[f269,f912]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f902,plain,
spl26_104,
inference(avatar_split_clause,[],[f262,f900]) ).
fof(f262,plain,
! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_1) ).
fof(f898,plain,
spl26_103,
inference(avatar_split_clause,[],[f239,f896]) ).
fof(f239,plain,
! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f894,plain,
spl26_102,
inference(avatar_split_clause,[],[f238,f892]) ).
fof(f238,plain,
! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f886,plain,
spl26_101,
inference(avatar_split_clause,[],[f268,f884]) ).
fof(f268,plain,
! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f882,plain,
spl26_100,
inference(avatar_split_clause,[],[f267,f880]) ).
fof(f267,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f865,plain,
( spl26_99
| ~ spl26_66
| ~ spl26_98 ),
inference(avatar_split_clause,[],[f857,f854,f654,f863]) ).
fof(f854,plain,
( spl26_98
<=> ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_98])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_66
| ~ spl26_98 ),
inference(forward_demodulation,[],[f855,f655]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_98 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f856,plain,
spl26_98,
inference(avatar_split_clause,[],[f334,f854]) ).
fof(f334,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f245,f251]) ).
fof(f251,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f245,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_binop_1) ).
fof(f852,plain,
spl26_97,
inference(avatar_split_clause,[],[f236,f850]) ).
fof(f236,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f848,plain,
spl26_96,
inference(avatar_split_clause,[],[f235,f846]) ).
fof(f235,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f840,plain,
spl26_95,
inference(avatar_split_clause,[],[f259,f838]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f836,plain,
spl26_94,
inference(avatar_split_clause,[],[f253,f834]) ).
fof(f253,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f820,plain,
spl26_93,
inference(avatar_split_clause,[],[f292,f818]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f816,plain,
spl26_92,
inference(avatar_split_clause,[],[f291,f814]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f802,plain,
spl26_91,
inference(avatar_split_clause,[],[f295,f800]) ).
fof(f295,plain,
! [X2,X0,X1] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f148,f184]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
=> m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ? [X3] : m2_fraenkel(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_fraenkel) ).
fof(f798,plain,
spl26_90,
inference(avatar_split_clause,[],[f294,f796]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f794,plain,
spl26_89,
inference(avatar_split_clause,[],[f293,f792]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f790,plain,
spl26_88,
inference(avatar_split_clause,[],[f287,f788]) ).
fof(f788,plain,
( spl26_88
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_88])]) ).
fof(f287,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f784,plain,
( spl26_87
| ~ spl26_12
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f559,f530,f392,f781]) ).
fof(f781,plain,
( spl26_87
<=> v1_funct_1(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_87])]) ).
fof(f559,plain,
( v1_funct_1(sK16)
| ~ spl26_12
| ~ spl26_40 ),
inference(resolution,[],[f531,f394]) ).
fof(f779,plain,
spl26_86,
inference(avatar_split_clause,[],[f290,f777]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f775,plain,
spl26_85,
inference(avatar_split_clause,[],[f237,f773]) ).
fof(f237,plain,
! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f770,plain,
spl26_84,
inference(avatar_split_clause,[],[f266,f768]) ).
fof(f266,plain,
! [X0,X1] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f766,plain,
spl26_83,
inference(avatar_split_clause,[],[f227,f764]) ).
fof(f227,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f762,plain,
spl26_82,
inference(avatar_split_clause,[],[f226,f760]) ).
fof(f226,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f752,plain,
( spl26_81
| ~ spl26_8
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f558,f530,f372,f749]) ).
fof(f749,plain,
( spl26_81
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_81])]) ).
fof(f372,plain,
( spl26_8
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f558,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl26_8
| ~ spl26_40 ),
inference(resolution,[],[f531,f374]) ).
fof(f374,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f747,plain,
spl26_80,
inference(avatar_split_clause,[],[f228,f745]) ).
fof(f228,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f730,plain,
spl26_79,
inference(avatar_split_clause,[],[f296,f728]) ).
fof(f296,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f726,plain,
spl26_78,
inference(avatar_split_clause,[],[f288,f724]) ).
fof(f288,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f722,plain,
spl26_77,
inference(avatar_split_clause,[],[f233,f720]) ).
fof(f233,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f102,f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f716,plain,
spl26_76,
inference(avatar_split_clause,[],[f299,f714]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f709,plain,
( spl26_75
| ~ spl26_25
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f557,f526,f457,f706]) ).
fof(f706,plain,
( spl26_75
<=> l1_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_75])]) ).
fof(f557,plain,
( l1_struct_0(sK21)
| ~ spl26_25
| ~ spl26_39 ),
inference(resolution,[],[f527,f459]) ).
fof(f699,plain,
spl26_74,
inference(avatar_split_clause,[],[f298,f697]) ).
fof(f298,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f695,plain,
spl26_73,
inference(avatar_split_clause,[],[f297,f693]) ).
fof(f297,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f691,plain,
spl26_72,
inference(avatar_split_clause,[],[f289,f689]) ).
fof(f289,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f687,plain,
spl26_71,
inference(avatar_split_clause,[],[f264,f685]) ).
fof(f264,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f683,plain,
spl26_70,
inference(avatar_split_clause,[],[f257,f681]) ).
fof(f257,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f673,plain,
( spl26_69
| ~ spl26_20
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f556,f526,f432,f670]) ).
fof(f670,plain,
( spl26_69
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_69])]) ).
fof(f556,plain,
( l1_struct_0(sK20)
| ~ spl26_20
| ~ spl26_39 ),
inference(resolution,[],[f527,f434]) ).
fof(f664,plain,
spl26_68,
inference(avatar_split_clause,[],[f272,f662]) ).
fof(f272,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f660,plain,
spl26_67,
inference(avatar_split_clause,[],[f271,f658]) ).
fof(f271,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f75]) ).
fof(f75,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f656,plain,
spl26_66,
inference(avatar_split_clause,[],[f250,f654]) ).
fof(f250,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f652,plain,
spl26_65,
inference(avatar_split_clause,[],[f234,f650]) ).
fof(f650,plain,
( spl26_65
<=> ! [X0] :
( ~ v1_xboole_0(sK3(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_65])]) ).
fof(f234,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f648,plain,
( spl26_64
| ~ spl26_17
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f555,f526,f417,f645]) ).
fof(f645,plain,
( spl26_64
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_64])]) ).
fof(f555,plain,
( l1_struct_0(sK19)
| ~ spl26_17
| ~ spl26_39 ),
inference(resolution,[],[f527,f419]) ).
fof(f643,plain,
spl26_63,
inference(avatar_split_clause,[],[f232,f641]) ).
fof(f232,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f639,plain,
spl26_62,
inference(avatar_split_clause,[],[f223,f637]) ).
fof(f223,plain,
! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f635,plain,
spl26_61,
inference(avatar_split_clause,[],[f222,f633]) ).
fof(f222,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f629,plain,
( spl26_60
| ~ spl26_11
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f554,f526,f387,f626]) ).
fof(f626,plain,
( spl26_60
<=> l1_struct_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_60])]) ).
fof(f554,plain,
( l1_struct_0(sK15)
| ~ spl26_11
| ~ spl26_39 ),
inference(resolution,[],[f527,f389]) ).
fof(f624,plain,
spl26_59,
inference(avatar_split_clause,[],[f285,f622]) ).
fof(f285,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f620,plain,
spl26_58,
inference(avatar_split_clause,[],[f284,f618]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f616,plain,
spl26_57,
inference(avatar_split_clause,[],[f283,f614]) ).
fof(f283,plain,
! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f55,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f612,plain,
spl26_56,
inference(avatar_split_clause,[],[f280,f610]) ).
fof(f280,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f182]) ).
fof(f608,plain,
spl26_55,
inference(avatar_split_clause,[],[f277,f606]) ).
fof(f277,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f61,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f604,plain,
spl26_54,
inference(avatar_split_clause,[],[f276,f602]) ).
fof(f276,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f47,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f600,plain,
spl26_53,
inference(avatar_split_clause,[],[f275,f598]) ).
fof(f275,plain,
! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f44,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f596,plain,
spl26_52,
inference(avatar_split_clause,[],[f274,f594]) ).
fof(f274,plain,
! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f43,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X2] : m1_fraenkel(X2,X0,X1)
=> m1_fraenkel(sK7(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
! [X0,X1] :
? [X2] : m1_fraenkel(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_fraenkel) ).
fof(f592,plain,
spl26_51,
inference(avatar_split_clause,[],[f256,f590]) ).
fof(f590,plain,
( spl26_51
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_51])]) ).
fof(f256,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f588,plain,
spl26_50,
inference(avatar_split_clause,[],[f255,f586]) ).
fof(f255,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f578,plain,
spl26_49,
inference(avatar_split_clause,[],[f273,f576]) ).
fof(f576,plain,
( spl26_49
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_49])]) ).
fof(f273,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f574,plain,
spl26_48,
inference(avatar_split_clause,[],[f231,f572]) ).
fof(f231,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f570,plain,
spl26_47,
inference(avatar_split_clause,[],[f225,f568]) ).
fof(f225,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f566,plain,
( spl26_46
| ~ spl26_5
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f553,f526,f357,f563]) ).
fof(f553,plain,
( l1_struct_0(sK0)
| ~ spl26_5
| ~ spl26_39 ),
inference(resolution,[],[f527,f359]) ).
fof(f552,plain,
spl26_45,
inference(avatar_split_clause,[],[f282,f550]) ).
fof(f282,plain,
! [X0,X1] : v1_funct_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f182]) ).
fof(f548,plain,
spl26_44,
inference(avatar_split_clause,[],[f281,f546]) ).
fof(f281,plain,
! [X0,X1] : v1_relat_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f182]) ).
fof(f544,plain,
spl26_43,
inference(avatar_split_clause,[],[f279,f542]) ).
fof(f279,plain,
! [X0,X1] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f180]) ).
fof(f540,plain,
spl26_42,
inference(avatar_split_clause,[],[f278,f538]) ).
fof(f278,plain,
! [X0,X1] : v1_relat_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f180]) ).
fof(f536,plain,
spl26_41,
inference(avatar_split_clause,[],[f248,f534]) ).
fof(f248,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f45,f171]) ).
fof(f171,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f532,plain,
spl26_40,
inference(avatar_split_clause,[],[f230,f530]) ).
fof(f230,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f528,plain,
spl26_39,
inference(avatar_split_clause,[],[f224,f526]) ).
fof(f224,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f524,plain,
~ spl26_38,
inference(avatar_split_clause,[],[f220,f521]) ).
fof(f220,plain,
k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
& m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f89,f162,f161,f160]) ).
fof(f160,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),X1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),X1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),sK1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,sK1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),sK1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,sK1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
& m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_autgroup) ).
fof(f519,plain,
spl26_37,
inference(avatar_split_clause,[],[f249,f517]) ).
fof(f249,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f515,plain,
spl26_36,
inference(avatar_split_clause,[],[f333,f512]) ).
fof(f512,plain,
( spl26_36
<=> v1_funct_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).
fof(f333,plain,
v1_funct_1(sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( v1_funct_1(sK25)
& v1_xboole_0(sK25)
& v1_relat_1(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f59,f211]) ).
fof(f211,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK25)
& v1_xboole_0(sK25)
& v1_relat_1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f510,plain,
spl26_35,
inference(avatar_split_clause,[],[f332,f507]) ).
fof(f332,plain,
v1_xboole_0(sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f505,plain,
spl26_34,
inference(avatar_split_clause,[],[f331,f502]) ).
fof(f502,plain,
( spl26_34
<=> v1_relat_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).
fof(f331,plain,
v1_relat_1(sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f500,plain,
spl26_33,
inference(avatar_split_clause,[],[f330,f497]) ).
fof(f330,plain,
v1_xboole_0(sK24),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( v1_xboole_0(sK24)
& v1_funct_1(sK24)
& v1_relat_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f84,f209]) ).
fof(f209,plain,
( ? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_xboole_0(sK24)
& v1_funct_1(sK24)
& v1_relat_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f57,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(f495,plain,
spl26_32,
inference(avatar_split_clause,[],[f329,f492]) ).
fof(f329,plain,
v1_funct_1(sK24),
inference(cnf_transformation,[],[f210]) ).
fof(f490,plain,
spl26_31,
inference(avatar_split_clause,[],[f328,f487]) ).
fof(f328,plain,
v1_relat_1(sK24),
inference(cnf_transformation,[],[f210]) ).
fof(f485,plain,
spl26_30,
inference(avatar_split_clause,[],[f327,f482]) ).
fof(f327,plain,
v1_funct_1(sK23),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( v1_funct_1(sK23)
& v1_relat_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f85,f207]) ).
fof(f207,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK23)
& v1_relat_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f63]) ).
fof(f63,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f480,plain,
spl26_29,
inference(avatar_split_clause,[],[f326,f477]) ).
fof(f326,plain,
v1_relat_1(sK23),
inference(cnf_transformation,[],[f208]) ).
fof(f475,plain,
spl26_28,
inference(avatar_split_clause,[],[f325,f472]) ).
fof(f325,plain,
v1_funct_1(sK22),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( v1_funct_1(sK22)
& v1_relat_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f54,f205]) ).
fof(f205,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK22)
& v1_relat_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f54,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f470,plain,
spl26_27,
inference(avatar_split_clause,[],[f324,f467]) ).
fof(f324,plain,
v1_relat_1(sK22),
inference(cnf_transformation,[],[f206]) ).
fof(f465,plain,
spl26_26,
inference(avatar_split_clause,[],[f323,f462]) ).
fof(f323,plain,
v1_group_1(sK21),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( v1_group_1(sK21)
& l1_group_1(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f56,f203]) ).
fof(f203,plain,
( ? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK21)
& l1_group_1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_1) ).
fof(f460,plain,
spl26_25,
inference(avatar_split_clause,[],[f322,f457]) ).
fof(f322,plain,
l1_group_1(sK21),
inference(cnf_transformation,[],[f204]) ).
fof(f455,plain,
spl26_24,
inference(avatar_split_clause,[],[f321,f452]) ).
fof(f452,plain,
( spl26_24
<=> v4_group_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f321,plain,
v4_group_1(sK20),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( v4_group_1(sK20)
& v3_group_1(sK20)
& v1_group_1(sK20)
& ~ v3_struct_0(sK20)
& l1_group_1(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f87,f201]) ).
fof(f201,plain,
( ? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK20)
& v3_group_1(sK20)
& v1_group_1(sK20)
& ~ v3_struct_0(sK20)
& l1_group_1(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_group_1) ).
fof(f450,plain,
spl26_23,
inference(avatar_split_clause,[],[f320,f447]) ).
fof(f447,plain,
( spl26_23
<=> v3_group_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f320,plain,
v3_group_1(sK20),
inference(cnf_transformation,[],[f202]) ).
fof(f445,plain,
spl26_22,
inference(avatar_split_clause,[],[f319,f442]) ).
fof(f319,plain,
v1_group_1(sK20),
inference(cnf_transformation,[],[f202]) ).
fof(f440,plain,
~ spl26_21,
inference(avatar_split_clause,[],[f318,f437]) ).
fof(f437,plain,
( spl26_21
<=> v3_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f318,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f202]) ).
fof(f435,plain,
spl26_20,
inference(avatar_split_clause,[],[f317,f432]) ).
fof(f317,plain,
l1_group_1(sK20),
inference(cnf_transformation,[],[f202]) ).
fof(f430,plain,
spl26_19,
inference(avatar_split_clause,[],[f316,f427]) ).
fof(f316,plain,
v1_group_1(sK19),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( v1_group_1(sK19)
& ~ v3_struct_0(sK19)
& l1_group_1(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f60,f199]) ).
fof(f199,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK19)
& ~ v3_struct_0(sK19)
& l1_group_1(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f60,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_group_1) ).
fof(f425,plain,
~ spl26_18,
inference(avatar_split_clause,[],[f315,f422]) ).
fof(f422,plain,
( spl26_18
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f315,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f200]) ).
fof(f420,plain,
spl26_17,
inference(avatar_split_clause,[],[f314,f417]) ).
fof(f314,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f200]) ).
fof(f415,plain,
~ spl26_16,
inference(avatar_split_clause,[],[f313,f412]) ).
fof(f412,plain,
( spl26_16
<=> v3_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f313,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ~ v3_struct_0(sK18)
& l1_struct_0(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f65,f197]) ).
fof(f197,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK18)
& l1_struct_0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f65,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f410,plain,
spl26_15,
inference(avatar_split_clause,[],[f312,f407]) ).
fof(f407,plain,
( spl26_15
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f312,plain,
l1_struct_0(sK18),
inference(cnf_transformation,[],[f198]) ).
fof(f405,plain,
spl26_14,
inference(avatar_split_clause,[],[f311,f402]) ).
fof(f402,plain,
( spl26_14
<=> v1_fraenkel(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f311,plain,
v1_fraenkel(sK17),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( v1_fraenkel(sK17)
& ~ v1_xboole_0(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f53,f195]) ).
fof(f195,plain,
( ? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_fraenkel(sK17)
& ~ v1_xboole_0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_fraenkel) ).
fof(f400,plain,
~ spl26_13,
inference(avatar_split_clause,[],[f310,f397]) ).
fof(f397,plain,
( spl26_13
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f310,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f196]) ).
fof(f395,plain,
spl26_12,
inference(avatar_split_clause,[],[f309,f392]) ).
fof(f309,plain,
v1_xboole_0(sK16),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
v1_xboole_0(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f58,f193]) ).
fof(f193,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK16) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f390,plain,
spl26_11,
inference(avatar_split_clause,[],[f308,f387]) ).
fof(f308,plain,
l1_group_1(sK15),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
l1_group_1(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f41,f191]) ).
fof(f191,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK15) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f385,plain,
spl26_10,
inference(avatar_split_clause,[],[f307,f382]) ).
fof(f382,plain,
( spl26_10
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f307,plain,
l1_struct_0(sK14),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
l1_struct_0(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f42,f189]) ).
fof(f189,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK14) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f380,plain,
~ spl26_9,
inference(avatar_split_clause,[],[f306,f377]) ).
fof(f377,plain,
( spl26_9
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f306,plain,
~ v1_xboole_0(sK13),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
~ v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f62,f187]) ).
fof(f187,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f375,plain,
spl26_8,
inference(avatar_split_clause,[],[f221,f372]) ).
fof(f221,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f370,plain,
spl26_7,
inference(avatar_split_clause,[],[f219,f367]) ).
fof(f219,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f163]) ).
fof(f365,plain,
spl26_6,
inference(avatar_split_clause,[],[f218,f362]) ).
fof(f218,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f163]) ).
fof(f360,plain,
spl26_5,
inference(avatar_split_clause,[],[f217,f357]) ).
fof(f217,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f355,plain,
spl26_4,
inference(avatar_split_clause,[],[f216,f352]) ).
fof(f216,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f350,plain,
spl26_3,
inference(avatar_split_clause,[],[f215,f347]) ).
fof(f215,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f345,plain,
spl26_2,
inference(avatar_split_clause,[],[f214,f342]) ).
fof(f214,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f340,plain,
~ spl26_1,
inference(avatar_split_clause,[],[f213,f337]) ).
fof(f213,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:47:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (31409)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (31412)WARNING: value z3 for option sas not known
% 0.14/0.38 % (31411)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (31413)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (31410)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (31412)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)
% 0.14/0.38 % (31414)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)
% 0.14/0.38 % (31415)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)
% 0.21/0.38 % (31416)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)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.53 TRYING [4]
% 1.28/0.53 TRYING [3]
% 1.28/0.53 % (31414)First to succeed.
% 1.42/0.56 % (31414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31409"
% 1.42/0.56 % (31414)Refutation found. Thanks to Tanya!
% 1.42/0.56 % SZS status Theorem for theBenchmark
% 1.42/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.57 % (31414)------------------------------
% 1.42/0.57 % (31414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.42/0.57 % (31414)Termination reason: Refutation
% 1.42/0.57
% 1.42/0.57 % (31414)Memory used [KB]: 3829
% 1.42/0.57 % (31414)Time elapsed: 0.179 s
% 1.42/0.57 % (31414)Instructions burned: 372 (million)
% 1.42/0.57 % (31409)Success in time 0.19 s
%------------------------------------------------------------------------------