TSTP Solution File: NUM556+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 08:37:59 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 226
% Syntax : Number of formulae : 2069 ( 139 unt; 0 def)
% Number of atoms : 7047 (1270 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 8485 (3507 ~;4130 |; 527 &)
% ( 201 <=>; 120 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 154 ( 152 usr; 140 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-3 aty)
% Number of variables : 1493 (1428 !; 65 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4239,plain,
$false,
inference(avatar_sat_refutation,[],[f458,f471,f495,f571,f620,f629,f646,f697,f716,f721,f747,f767,f769,f771,f780,f829,f838,f847,f862,f877,f886,f895,f913,f927,f943,f965,f976,f1046,f1050,f1053,f1080,f1159,f1169,f1197,f1210,f1216,f1237,f1239,f1324,f1327,f1345,f1355,f1358,f1363,f1391,f1394,f1449,f1452,f1654,f1712,f1715,f1724,f1727,f1830,f1844,f1858,f1860,f1905,f1909,f1919,f1923,f1933,f1938,f1947,f1955,f1965,f1969,f1979,f1983,f2005,f2014,f2094,f2150,f2161,f2192,f2241,f2414,f2478,f2507,f2540,f2549,f2558,f2567,f2589,f2657,f2663,f2667,f2678,f2731,f2743,f2887,f2932,f2937,f2970,f2975,f3110,f3115,f3124,f3129,f3171,f3176,f3185,f3190,f3213,f3218,f3227,f3232,f3492,f3557,f3755,f3775,f3779,f3782,f3784,f3788,f3804,f3818,f3822,f3825,f3827,f3831,f4054,f4065,f4184,f4206,f4212,f4226,f4234]) ).
fof(f4234,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_16
| ~ spl22_88 ),
inference(avatar_contradiction_clause,[],[f4233]) ).
fof(f4233,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16
| ~ spl22_88 ),
inference(subsumption_resolution,[],[f4229,f4198]) ).
fof(f4198,plain,
( ~ aElementOf0(sK6,xS)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189,f4190,f4191,f4192,f4193,f4194,f4195,f4196,f250,f4197,f249]) ).
fof(f249,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK6,xS) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK6,xS)
& aElementOf0(sK6,xP) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f83,f178]) ).
fof(f178,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK6,xS)
& aElementOf0(sK6,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,negated_conjecture,
~ ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f4197,plain,
( ~ aSubsetOf0(xP,xS)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189,f4190,f4191,f4192,f4193,f4194,f4195,f4196,f250]) ).
fof(f250,plain,
( xk != sbrdtbr0(xP)
| ~ aSubsetOf0(xP,xS) ),
inference(cnf_transformation,[],[f179]) ).
fof(f4196,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xx = sK10(xP)
| aElementOf0(sK10(xP),xQ)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189,f4190,f4191,f4192,f4193,f4194,f4195]) ).
fof(f4195,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| xx = sK10(xP)
| aElementOf0(sK10(xP),xQ) ),
inference(subsumption_resolution,[],[f3383,f273]) ).
fof(f3383,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| xx = sK10(xP)
| aElementOf0(sK10(xP),xQ) ),
inference(resolution,[],[f284,f897]) ).
fof(f4194,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElement0(sK10(xP))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189,f4190,f4191,f4192,f4193]) ).
fof(f4193,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| aElement0(sK10(xP)) ),
inference(subsumption_resolution,[],[f3384,f273]) ).
fof(f3384,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| aElement0(sK10(xP)) ),
inference(resolution,[],[f284,f274]) ).
fof(f4192,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| xx = sK9(xP)
| aElementOf0(sK9(xP),xQ)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189,f4190,f4191]) ).
fof(f4191,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xP)
| xx = sK9(xP)
| aElementOf0(sK9(xP),xQ) ),
inference(subsumption_resolution,[],[f3655,f273]) ).
fof(f3655,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| xx = sK9(xP)
| aElementOf0(sK9(xP),xQ) ),
inference(resolution,[],[f292,f897]) ).
fof(f4190,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| aElement0(sK9(xP))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187,f4188,f4189]) ).
fof(f4189,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xP)
| aElement0(sK9(xP)) ),
inference(subsumption_resolution,[],[f3656,f273]) ).
fof(f3656,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| aElement0(sK9(xP)) ),
inference(resolution,[],[f292,f274]) ).
fof(f4188,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xx = sK8(xP)
| aElementOf0(sK8(xP),xQ)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185,f4186,f4187]) ).
fof(f4187,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| xx = sK8(xP)
| aElementOf0(sK8(xP),xQ) ),
inference(subsumption_resolution,[],[f3888,f273]) ).
fof(f3888,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| xx = sK8(xP)
| aElementOf0(sK8(xP),xQ) ),
inference(resolution,[],[f301,f897]) ).
fof(f4186,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElement0(sK8(xP))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f452,f496,f497,f457,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f688,f679,f318,f319,f707,f320,f344,f722,f723,f715,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f844,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1608,f1611,f1573,f1620,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1619,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f2856,f2896,f2859,f2909,f2895,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2991,f3031,f3033,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f3030,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f301,f3849,f3850,f3851,f3853,f3897,f3898,f3899,f3896,f3895,f3902,f3903,f3904,f3905,f3906,f3907,f3908,f3909,f3910,f3911,f3912,f3913,f3914,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f3926,f3927,f3928,f3930,f3932,f3607,f3241,f1259,f3962,f1329,f3964,f3968,f302,f4004,f4005,f4006,f4008,f4013,f4014,f4015,f330,f4130,f4131,f4136,f4138,f4088,f4129,f4143,f4128,f4147,f4127,f4148,f4126,f4149,f4125,f4124,f4146,f4159,f4161,f4164,f4165,f4166,f4167,f4168,f4169,f4170,f4171,f4172,f4177,f4178,f4181,f4182,f4185]) ).
fof(f4185,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| aElement0(sK8(xP)) ),
inference(subsumption_resolution,[],[f3889,f273]) ).
fof(f3889,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(xP)
| ~ aSet0(xP)
| aElement0(sK8(xP)) ),
inference(resolution,[],[f301,f274]) ).
fof(f4182,plain,
( xk = sbrdtbr0(xP)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4143,f4146]) ).
fof(f4181,plain,
xk != sbrdtbr0(sdtmndt0(xQ,xy)),
inference(subsumption_resolution,[],[f4180,f254]) ).
fof(f4180,plain,
( xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(inner_rewriting,[],[f4159]) ).
fof(f4178,plain,
! [X0] :
( ~ sP0(xk,X0)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),X0) ),
inference(superposition,[],[f2250,f4146]) ).
fof(f4177,plain,
! [X0] :
( sdtlseqdt0(xk,X0)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),slbdtrb0(X0))
| ~ sP1(X0) ),
inference(superposition,[],[f782,f4146]) ).
fof(f4172,plain,
( aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),slbdtrb0(xk))
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f446,f4146]) ).
fof(f4171,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xk)
| sdtlseqdt0(X0,sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f417,f4146]) ).
fof(f4170,plain,
! [X0] :
( ~ sdtlseqdt0(xk,szszuzczcdt0(X0))
| sdtlseqdt0(sbrdtbr0(sdtmndt0(xQ,xy)),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f417,f4146]) ).
fof(f4169,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xk)
| ~ sdtlseqdt0(X0,sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f416,f4146]) ).
fof(f4168,plain,
! [X0] :
( sdtlseqdt0(xk,szszuzczcdt0(X0))
| ~ sdtlseqdt0(sbrdtbr0(sdtmndt0(xQ,xy)),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f416,f4146]) ).
fof(f4167,plain,
! [X0] :
( szszuzczcdt0(X0) != xk
| sbrdtbr0(sdtmndt0(xQ,xy)) = X0
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f414,f4146]) ).
fof(f4166,plain,
! [X0] :
( szszuzczcdt0(X0) != xk
| sbrdtbr0(sdtmndt0(xQ,xy)) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f414,f4146]) ).
fof(f4165,plain,
! [X0] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(X0,sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f413,f4146]) ).
fof(f4164,plain,
! [X0,X1] :
( ~ sdtlseqdt0(xk,X0)
| aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0)
| ~ sP0(X0,X1) ),
inference(superposition,[],[f351,f4146]) ).
fof(f4161,plain,
( sdtlseqdt0(sbrdtbr0(sdtmndt0(xQ,xy)),xk)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f340,f4146]) ).
fof(f4159,plain,
( xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aElementOf0(sbrdtbr0(sdtmndt0(xQ,xy)),szNzAzT0) ),
inference(superposition,[],[f338,f4146]) ).
fof(f4146,plain,
xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
inference(forward_demodulation,[],[f4145,f259]) ).
fof(f4145,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
inference(subsumption_resolution,[],[f4144,f257]) ).
fof(f4144,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aSet0(xQ) ),
inference(subsumption_resolution,[],[f4095,f258]) ).
fof(f4095,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(resolution,[],[f330,f256]) ).
fof(f4124,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK17(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f4116]) ).
fof(f4116,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK17(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f330,f375]) ).
fof(f4125,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK11(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ),
inference(duplicate_literal_removal,[],[f4104]) ).
fof(f4104,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK11(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(resolution,[],[f330,f333]) ).
fof(f4149,plain,
! [X0] :
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK10(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk ),
inference(inner_rewriting,[],[f4126]) ).
fof(f4126,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK10(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk ),
inference(duplicate_literal_removal,[],[f4103]) ).
fof(f4103,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK10(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0) ),
inference(resolution,[],[f330,f284]) ).
fof(f4148,plain,
! [X0] :
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK9(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk ),
inference(inner_rewriting,[],[f4127]) ).
fof(f4127,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK9(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk ),
inference(duplicate_literal_removal,[],[f4101]) ).
fof(f4101,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK9(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0) ),
inference(resolution,[],[f330,f292]) ).
fof(f4147,plain,
! [X0] :
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK8(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk ),
inference(inner_rewriting,[],[f4128]) ).
fof(f4128,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK8(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk ),
inference(duplicate_literal_removal,[],[f4100]) ).
fof(f4100,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK8(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0) ),
inference(resolution,[],[f330,f301]) ).
fof(f4143,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4142,f2859]) ).
fof(f4142,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ spl22_2
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f4141,f273]) ).
fof(f4141,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ aSet0(xP)
| ~ spl22_2
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f4092,f715]) ).
fof(f4092,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ isFinite0(xP)
| ~ aSet0(xP)
| ~ spl22_2 ),
inference(resolution,[],[f330,f457]) ).
fof(f4129,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f4089]) ).
fof(f4089,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f330,f432]) ).
fof(f4088,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f330,f434]) ).
fof(f4138,plain,
( ! [X0] :
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,X0)))
| ~ aElementOf0(X0,xQ)
| xy = X0 )
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f4137,f273]) ).
fof(f4137,plain,
( ! [X0] :
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,X0)))
| ~ aSet0(xP)
| ~ aElementOf0(X0,xQ)
| xy = X0 )
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f4081,f715]) ).
fof(f4081,plain,
! [X0] :
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,X0)))
| ~ isFinite0(xP)
| ~ aSet0(xP)
| ~ aElementOf0(X0,xQ)
| xy = X0 ),
inference(resolution,[],[f330,f2164]) ).
fof(f4136,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f4071,f3590]) ).
fof(f4071,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f330,f446]) ).
fof(f4131,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtpldt0(X0,X1),X1)))
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f4068,f439]) ).
fof(f4068,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtpldt0(X0,X1),X1)))
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f330,f842]) ).
fof(f4130,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f4067]) ).
fof(f4067,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f330,f376]) ).
fof(f330,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f4015,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aElementOf0(sK8(sK11(slbdtsldtrb0(xS,xk),X0)),xS)
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f4012,f279]) ).
fof(f4012,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aElementOf0(sK8(sK11(slbdtsldtrb0(xS,xk),X0)),xS)
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f302,f334]) ).
fof(f4014,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f4011,f279]) ).
fof(f4011,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f302,f327]) ).
fof(f4013,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0) ),
inference(subsumption_resolution,[],[f4010,f279]) ).
fof(f4010,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f302,f328]) ).
fof(f4008,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f302,f282]) ).
fof(f4006,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| aElement0(X0) ),
inference(resolution,[],[f302,f671]) ).
fof(f4005,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f302,f668]) ).
fof(f4004,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK8(X0),xS)
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f302,f281]) ).
fof(f302,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK8(X1),xS)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& aElementOf0(sK7,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK8(X1),xS)
& aElementOf0(sK8(X1),X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ( ~ aElementOf0(sK9(X5),xT)
& aElementOf0(sK9(X5),X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ( ~ aElementOf0(sK10(X8),xS)
& aElementOf0(sK10(X8),X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f182,f186,f185,f184,f183]) ).
fof(f183,plain,
( ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK7,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK8(X1),xS)
& aElementOf0(sK8(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X5] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
=> ( ~ aElementOf0(sK9(X5),xT)
& aElementOf0(sK9(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X8] :
( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
=> ( ~ aElementOf0(sK10(X8),xS)
& aElementOf0(sK10(X8),X8) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xS,xk))
=> aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& ! [X5] :
( ( ( xk = sbrdtbr0(X5)
& ( aSubsetOf0(X5,xT)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,xT) )
& aSet0(X5) ) ) )
=> aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
=> ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,xT) )
& aSet0(X5) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( ( xk = sbrdtbr0(X8)
& ( aSubsetOf0(X8,xS)
| ( ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,xS) )
& aSet0(X8) ) ) )
=> aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
=> ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,X8)
=> aElementOf0(X10,xS) )
& aSet0(X8) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xT)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f3968,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xS)
| aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xT) ),
inference(superposition,[],[f1329,f986]) ).
fof(f3964,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xS)
| aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xT) ),
inference(superposition,[],[f1329,f982]) ).
fof(f1329,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f286,f668]) ).
fof(f3962,plain,
! [X0] :
( ~ aSubsetOf0(sK7,X0)
| aElementOf0(sK7,slbdtsldtrb0(X0,xk))
| ~ sP5(X0,xk) ),
inference(resolution,[],[f1259,f443]) ).
fof(f1259,plain,
! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(sK7,X0)
| aElementOf0(sK7,X1) ),
inference(superposition,[],[f444,f540]) ).
fof(f3241,plain,
! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f3237,f313]) ).
fof(f3237,plain,
! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f419,f314]) ).
fof(f3607,plain,
! [X0] :
( aSet0(slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f3487,f367]) ).
fof(f3932,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3931,f603]) ).
fof(f3931,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3893,f599]) ).
fof(f3893,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(resolution,[],[f301,f952]) ).
fof(f3930,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3929,f603]) ).
fof(f3929,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3892,f599]) ).
fof(f3892,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK8(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(resolution,[],[f301,f1094]) ).
fof(f3928,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSet0(sK8(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3884,f287]) ).
fof(f3884,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK8(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f301,f288]) ).
fof(f3927,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xT,xk)),xT) ),
inference(subsumption_resolution,[],[f3883,f287]) ).
fof(f3883,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f301,f290]) ).
fof(f3926,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK8(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3882,f287]) ).
fof(f3882,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK8(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f301,f291]) ).
fof(f3925,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK8(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f3881,f287]) ).
fof(f3881,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK8(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(resolution,[],[f301,f289]) ).
fof(f3924,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSet0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3880,f279]) ).
fof(f3880,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f301,f280]) ).
fof(f3923,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f3879,f279]) ).
fof(f3879,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f301,f282]) ).
fof(f3922,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3878,f279]) ).
fof(f3878,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f301,f283]) ).
fof(f3921,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aElement0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3877,f279]) ).
fof(f3877,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aElement0(sK8(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f301,f671]) ).
fof(f3920,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xS,xk)),xT) ),
inference(subsumption_resolution,[],[f3876,f279]) ).
fof(f3876,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK8(slbdtsldtrb0(xS,xk)),xT) ),
inference(resolution,[],[f301,f668]) ).
fof(f3919,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK8(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f3875,f279]) ).
fof(f3875,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK8(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(resolution,[],[f301,f281]) ).
fof(f3914,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xS,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| aElementOf0(sK8(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f3873,f479]) ).
fof(f3873,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xS,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| ~ aSet0(slbdtrb0(X0))
| aElementOf0(sK8(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f301,f555]) ).
fof(f3913,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| aSet0(slbdtrb0(sK8(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3872,f315]) ).
fof(f3872,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(slbdtrb0(sK8(szNzAzT0))) ),
inference(resolution,[],[f301,f3487]) ).
fof(f3912,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK8(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK8(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3871,f315]) ).
fof(f3871,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK8(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK8(szNzAzT0)))) ),
inference(resolution,[],[f301,f1103]) ).
fof(f3911,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK8(szNzAzT0)
| aElement0(sK12(sK8(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3870,f315]) ).
fof(f3870,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK8(szNzAzT0)
| aElement0(sK12(sK8(szNzAzT0))) ),
inference(resolution,[],[f301,f727]) ).
fof(f3910,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(sK8(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3869,f315]) ).
fof(f3869,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(sK8(szNzAzT0)) ),
inference(resolution,[],[f301,f656]) ).
fof(f3909,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK8(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK8(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3868,f315]) ).
fof(f3868,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK8(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK8(szNzAzT0)))) ),
inference(resolution,[],[f301,f526]) ).
fof(f3908,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(szszuzczcdt0(sK8(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3867,f315]) ).
fof(f3867,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK8(szNzAzT0))) ),
inference(resolution,[],[f301,f507]) ).
fof(f3907,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sP1(sK8(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3866,f315]) ).
fof(f3866,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP1(sK8(szNzAzT0)) ),
inference(resolution,[],[f301,f355]) ).
fof(f3906,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK8(szNzAzT0)
| sK8(szNzAzT0) = szszuzczcdt0(sK12(sK8(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3865,f315]) ).
fof(f3865,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK8(szNzAzT0)
| sK8(szNzAzT0) = szszuzczcdt0(sK12(sK8(szNzAzT0))) ),
inference(resolution,[],[f301,f345]) ).
fof(f3905,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sK8(szNzAzT0) = sbrdtbr0(slbdtrb0(sK8(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3864,f315]) ).
fof(f3864,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK8(szNzAzT0) = sbrdtbr0(slbdtrb0(sK8(szNzAzT0))) ),
inference(resolution,[],[f301,f341]) ).
fof(f3904,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElement0(sK8(sdtmndt0(xQ,xy))) ),
inference(subsumption_resolution,[],[f3863,f268]) ).
fof(f3863,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElement0(sK8(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f301,f269]) ).
fof(f3903,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK8(sdtmndt0(xQ,xy)),xQ) ),
inference(subsumption_resolution,[],[f3862,f268]) ).
fof(f3862,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK8(sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f301,f270]) ).
fof(f3902,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK8(sdtmndt0(xQ,xy)),xP) ),
inference(subsumption_resolution,[],[f3861,f268]) ).
fof(f3861,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK8(sdtmndt0(xQ,xy)),xP) ),
inference(resolution,[],[f301,f652]) ).
fof(f3895,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK8(X0)) ),
inference(duplicate_literal_removal,[],[f3859]) ).
fof(f3859,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK8(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f301,f327]) ).
fof(f3896,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK8(X0)),sK8(X0)) = X0 ),
inference(duplicate_literal_removal,[],[f3858]) ).
fof(f3858,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK8(X0)),sK8(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f301,f328]) ).
fof(f3899,plain,
! [X0] :
( aElementOf0(sK8(sK11(slbdtsldtrb0(xS,xk),X0)),sK11(slbdtsldtrb0(xS,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3857,f279]) ).
fof(f3857,plain,
! [X0] :
( aElementOf0(sK8(sK11(slbdtsldtrb0(xS,xk),X0)),sK11(slbdtsldtrb0(xS,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f301,f334]) ).
fof(f3898,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f3856,f279]) ).
fof(f3856,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f301,f327]) ).
fof(f3897,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0) ),
inference(subsumption_resolution,[],[f3855,f279]) ).
fof(f3855,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f301,f328]) ).
fof(f3853,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f301,f282]) ).
fof(f3851,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0) ),
inference(resolution,[],[f301,f671]) ).
fof(f3850,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f301,f668]) ).
fof(f3849,plain,
! [X0,X1] :
( aElementOf0(sK8(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f301,f281]) ).
fof(f301,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(X1),X1)
| sbrdtbr0(X1) != xk
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f3705,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(sK7),xS) ),
inference(subsumption_resolution,[],[f3704,f485]) ).
fof(f3704,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| ~ aSet0(sK7)
| aElementOf0(sK9(sK7),xS) ),
inference(subsumption_resolution,[],[f3658,f540]) ).
fof(f3658,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sK7)
| ~ aSet0(sK7)
| aElementOf0(sK9(sK7),xS) ),
inference(resolution,[],[f292,f949]) ).
fof(f3765,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aElementOf0(sK9(sK11(slbdtsldtrb0(xT,xk),X0)),xT)
| ~ aSet0(sK11(slbdtsldtrb0(xT,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3762,f287]) ).
fof(f3762,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aElementOf0(sK9(sK11(slbdtsldtrb0(xT,xk),X0)),xT)
| ~ aSet0(sK11(slbdtsldtrb0(xT,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f293,f334]) ).
fof(f3764,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f3761,f287]) ).
fof(f3761,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f293,f327]) ).
fof(f3763,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0) ),
inference(subsumption_resolution,[],[f3760,f287]) ).
fof(f3760,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f293,f328]) ).
fof(f3758,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f293,f290]) ).
fof(f3756,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK9(X0),xT)
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(resolution,[],[f293,f289]) ).
fof(f293,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aElementOf0(sK9(X5),xT)
| ~ aSet0(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f3697,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| aElement0(sK9(xQ)) ),
inference(subsumption_resolution,[],[f3696,f257]) ).
fof(f3696,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ aSet0(xQ)
| aElement0(sK9(xQ)) ),
inference(subsumption_resolution,[],[f3652,f259]) ).
fof(f3652,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xQ)
| ~ aSet0(xQ)
| aElement0(sK9(xQ)) ),
inference(resolution,[],[f292,f1632]) ).
fof(f3593,plain,
! [X0] :
( aSet0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f3487,f326]) ).
fof(f3590,plain,
! [X0] :
( aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f3487,f342]) ).
fof(f3709,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3708,f603]) ).
fof(f3708,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3660,f599]) ).
fof(f3660,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(resolution,[],[f292,f952]) ).
fof(f3707,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3706,f603]) ).
fof(f3706,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3659,f599]) ).
fof(f3659,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK9(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(resolution,[],[f292,f1094]) ).
fof(f3703,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(sK7),xT) ),
inference(subsumption_resolution,[],[f3702,f485]) ).
fof(f3702,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| ~ aSet0(sK7)
| aElementOf0(sK9(sK7),xT) ),
inference(subsumption_resolution,[],[f3657,f540]) ).
fof(f3657,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sK7)
| ~ aSet0(sK7)
| aElementOf0(sK9(sK7),xT) ),
inference(resolution,[],[f292,f1093]) ).
fof(f3701,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(xQ),xS) ),
inference(subsumption_resolution,[],[f3700,f257]) ).
fof(f3700,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ aSet0(xQ)
| aElementOf0(sK9(xQ),xS) ),
inference(subsumption_resolution,[],[f3654,f259]) ).
fof(f3654,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xQ)
| ~ aSet0(xQ)
| aElementOf0(sK9(xQ),xS) ),
inference(resolution,[],[f292,f261]) ).
fof(f3699,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(xQ),xT) ),
inference(subsumption_resolution,[],[f3698,f257]) ).
fof(f3698,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ aSet0(xQ)
| aElementOf0(sK9(xQ),xT) ),
inference(subsumption_resolution,[],[f3653,f259]) ).
fof(f3653,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(xQ)
| ~ aSet0(xQ)
| aElementOf0(sK9(xQ),xT) ),
inference(resolution,[],[f292,f1092]) ).
fof(f3695,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSet0(sK9(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3651,f287]) ).
fof(f3651,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK9(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f292,f288]) ).
fof(f3694,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xT,xk)),xT) ),
inference(subsumption_resolution,[],[f3650,f287]) ).
fof(f3650,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f292,f290]) ).
fof(f3693,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK9(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3649,f287]) ).
fof(f3649,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK9(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f292,f291]) ).
fof(f3692,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK9(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f3648,f287]) ).
fof(f3648,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK9(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(resolution,[],[f292,f289]) ).
fof(f3691,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSet0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3647,f279]) ).
fof(f3647,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f292,f280]) ).
fof(f3690,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f3646,f279]) ).
fof(f3646,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f292,f282]) ).
fof(f3689,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3645,f279]) ).
fof(f3645,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f292,f283]) ).
fof(f3688,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aElement0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3644,f279]) ).
fof(f3644,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aElement0(sK9(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f292,f671]) ).
fof(f3687,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xS,xk)),xT) ),
inference(subsumption_resolution,[],[f3643,f279]) ).
fof(f3643,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK9(slbdtsldtrb0(xS,xk)),xT) ),
inference(resolution,[],[f292,f668]) ).
fof(f3686,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK9(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f3642,f279]) ).
fof(f3642,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK9(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(resolution,[],[f292,f281]) ).
fof(f3681,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xT,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| aElementOf0(sK9(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f3640,f479]) ).
fof(f3640,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xT,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| ~ aSet0(slbdtrb0(X0))
| aElementOf0(sK9(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f292,f555]) ).
fof(f3680,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| aSet0(slbdtrb0(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3639,f315]) ).
fof(f3639,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(slbdtrb0(sK9(szNzAzT0))) ),
inference(resolution,[],[f292,f3487]) ).
fof(f3679,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK9(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK9(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3638,f315]) ).
fof(f3638,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK9(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK9(szNzAzT0)))) ),
inference(resolution,[],[f292,f1103]) ).
fof(f3678,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK9(szNzAzT0)
| aElement0(sK12(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3637,f315]) ).
fof(f3637,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK9(szNzAzT0)
| aElement0(sK12(sK9(szNzAzT0))) ),
inference(resolution,[],[f292,f727]) ).
fof(f3677,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(sK9(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3636,f315]) ).
fof(f3636,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(sK9(szNzAzT0)) ),
inference(resolution,[],[f292,f656]) ).
fof(f3676,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK9(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK9(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3635,f315]) ).
fof(f3635,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK9(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK9(szNzAzT0)))) ),
inference(resolution,[],[f292,f526]) ).
fof(f3675,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(szszuzczcdt0(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3634,f315]) ).
fof(f3634,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK9(szNzAzT0))) ),
inference(resolution,[],[f292,f507]) ).
fof(f3674,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| sP1(sK9(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3633,f315]) ).
fof(f3633,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP1(sK9(szNzAzT0)) ),
inference(resolution,[],[f292,f355]) ).
fof(f3673,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK9(szNzAzT0)
| sK9(szNzAzT0) = szszuzczcdt0(sK12(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3632,f315]) ).
fof(f3632,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK9(szNzAzT0)
| sK9(szNzAzT0) = szszuzczcdt0(sK12(sK9(szNzAzT0))) ),
inference(resolution,[],[f292,f345]) ).
fof(f3672,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| sK9(szNzAzT0) = sbrdtbr0(slbdtrb0(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3631,f315]) ).
fof(f3631,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK9(szNzAzT0) = sbrdtbr0(slbdtrb0(sK9(szNzAzT0))) ),
inference(resolution,[],[f292,f341]) ).
fof(f3671,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElement0(sK9(sdtmndt0(xQ,xy))) ),
inference(subsumption_resolution,[],[f3630,f268]) ).
fof(f3630,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElement0(sK9(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f292,f269]) ).
fof(f3670,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK9(sdtmndt0(xQ,xy)),xQ) ),
inference(subsumption_resolution,[],[f3629,f268]) ).
fof(f3629,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK9(sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f292,f270]) ).
fof(f3669,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK9(sdtmndt0(xQ,xy)),xP) ),
inference(subsumption_resolution,[],[f3628,f268]) ).
fof(f3628,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK9(sdtmndt0(xQ,xy)),xP) ),
inference(resolution,[],[f292,f652]) ).
fof(f3662,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK9(X0)) ),
inference(duplicate_literal_removal,[],[f3626]) ).
fof(f3626,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK9(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f292,f327]) ).
fof(f3663,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK9(X0)),sK9(X0)) = X0 ),
inference(duplicate_literal_removal,[],[f3625]) ).
fof(f3625,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK9(X0)),sK9(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f292,f328]) ).
fof(f3666,plain,
! [X0] :
( aElementOf0(sK9(sK11(slbdtsldtrb0(xT,xk),X0)),sK11(slbdtsldtrb0(xT,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xT,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3624,f287]) ).
fof(f3624,plain,
! [X0] :
( aElementOf0(sK9(sK11(slbdtsldtrb0(xT,xk),X0)),sK11(slbdtsldtrb0(xT,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xT,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f292,f334]) ).
fof(f3665,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f3623,f287]) ).
fof(f3623,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f292,f327]) ).
fof(f3664,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0) ),
inference(subsumption_resolution,[],[f3622,f287]) ).
fof(f3622,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f292,f328]) ).
fof(f3620,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f292,f290]) ).
fof(f3618,plain,
! [X0,X1] :
( aElementOf0(sK9(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(resolution,[],[f292,f289]) ).
fof(f292,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(X5),X5)
| xk != sbrdtbr0(X5)
| ~ aSet0(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f3599,plain,
! [X0] :
( aSet0(slbdtrb0(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f3487,f344]) ).
fof(f3612,plain,
! [X0] :
( aSet0(slbdtrb0(sK11(X0,szNzAzT0)))
| aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3598,f315]) ).
fof(f3598,plain,
! [X0] :
( aSet0(slbdtrb0(sK11(X0,szNzAzT0)))
| aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0) ),
inference(resolution,[],[f3487,f333]) ).
fof(f3611,plain,
( aSet0(slbdtrb0(sK10(szNzAzT0)))
| aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0) ),
inference(subsumption_resolution,[],[f3597,f315]) ).
fof(f3597,plain,
( aSet0(slbdtrb0(sK10(szNzAzT0)))
| aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f3487,f284]) ).
fof(f3609,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f3588,f315]) ).
fof(f3588,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0) ),
inference(resolution,[],[f3487,f376]) ).
fof(f3487,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f293,f292,f285,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486]) ).
fof(f3535,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aElementOf0(sK10(sK11(slbdtsldtrb0(xS,xk),X0)),xS)
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3532,f279]) ).
fof(f3532,plain,
! [X0] :
( xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aElementOf0(sK10(sK11(slbdtsldtrb0(xS,xk),X0)),xS)
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f285,f334]) ).
fof(f3534,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f3531,f279]) ).
fof(f3531,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f285,f327]) ).
fof(f3533,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0) ),
inference(subsumption_resolution,[],[f3530,f279]) ).
fof(f3530,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f285,f328]) ).
fof(f3528,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f285,f282]) ).
fof(f3526,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| aElement0(X0) ),
inference(resolution,[],[f285,f671]) ).
fof(f3525,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f285,f668]) ).
fof(f3524,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK10(X0),xS)
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f285,f281]) ).
fof(f285,plain,
! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ~ aElementOf0(sK10(X8),xS)
| ~ aSet0(X8) ),
inference(cnf_transformation,[],[f187]) ).
fof(f3486,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(subsumption_resolution,[],[f3479,f436]) ).
fof(f3479,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slcrc0) ),
inference(resolution,[],[f3199,f331]) ).
fof(f3485,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X0)) ),
inference(subsumption_resolution,[],[f3484,f436]) ).
fof(f3484,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X0))
| ~ aSet0(slcrc0) ),
inference(subsumption_resolution,[],[f3477,f435]) ).
fof(f3477,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X0))
| aElementOf0(X1,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[],[f3199,f332]) ).
fof(f3483,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtrb0(X0) ),
inference(subsumption_resolution,[],[f3482,f3198]) ).
fof(f3482,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtrb0(X0)
| ~ aSubsetOf0(slcrc0,slbdtrb0(X0)) ),
inference(subsumption_resolution,[],[f3476,f436]) ).
fof(f3476,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtrb0(X0)
| ~ aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aSet0(slcrc0) ),
inference(resolution,[],[f3199,f2480]) ).
fof(f3475,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtrb0(X0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f3199,f2523]) ).
fof(f3199,plain,
! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f3196,f313]) ).
fof(f3196,plain,
! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f418,f314]) ).
fof(f3422,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3421,f603]) ).
fof(f3421,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f3388,f599]) ).
fof(f3388,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(resolution,[],[f284,f952]) ).
fof(f3420,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3419,f603]) ).
fof(f3419,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f3387,f599]) ).
fof(f3387,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(sK10(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(resolution,[],[f284,f1094]) ).
fof(f3418,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSet0(sK10(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3379,f287]) ).
fof(f3379,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK10(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f284,f288]) ).
fof(f3417,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xT,xk)),xT) ),
inference(subsumption_resolution,[],[f3378,f287]) ).
fof(f3378,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f284,f290]) ).
fof(f3416,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK10(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f3377,f287]) ).
fof(f3377,plain,
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK10(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f284,f291]) ).
fof(f3415,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK10(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f3376,f287]) ).
fof(f3376,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,sK10(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ),
inference(resolution,[],[f284,f289]) ).
fof(f3414,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSet0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3375,f279]) ).
fof(f3375,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f284,f280]) ).
fof(f3413,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f3374,f279]) ).
fof(f3374,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f284,f282]) ).
fof(f3412,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3373,f279]) ).
fof(f3373,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f284,f283]) ).
fof(f3411,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aElement0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f3372,f279]) ).
fof(f3372,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aElement0(sK10(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f284,f671]) ).
fof(f3410,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xS,xk)),xT) ),
inference(subsumption_resolution,[],[f3371,f279]) ).
fof(f3371,plain,
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK10(slbdtsldtrb0(xS,xk)),xT) ),
inference(resolution,[],[f284,f668]) ).
fof(f3409,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK10(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f3370,f279]) ).
fof(f3370,plain,
! [X0] :
( aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X0,sK10(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(resolution,[],[f284,f281]) ).
fof(f3408,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xS,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| aElementOf0(sK10(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f3369,f479]) ).
fof(f3369,plain,
! [X0] :
( aElementOf0(slbdtrb0(X0),slbdtsldtrb0(xS,xk))
| sbrdtbr0(slbdtrb0(X0)) != xk
| ~ aSet0(slbdtrb0(X0))
| aElementOf0(sK10(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f284,f555]) ).
fof(f3407,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK10(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK10(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3368,f315]) ).
fof(f3368,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK10(szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK10(szNzAzT0)))) ),
inference(resolution,[],[f284,f1103]) ).
fof(f3406,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK10(szNzAzT0)
| aElement0(sK12(sK10(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3367,f315]) ).
fof(f3367,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK10(szNzAzT0)
| aElement0(sK12(sK10(szNzAzT0))) ),
inference(resolution,[],[f284,f727]) ).
fof(f3405,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(sK10(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3366,f315]) ).
fof(f3366,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(sK10(szNzAzT0)) ),
inference(resolution,[],[f284,f656]) ).
fof(f3404,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| szszuzczcdt0(sK10(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK10(szNzAzT0)))) ),
inference(subsumption_resolution,[],[f3365,f315]) ).
fof(f3365,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| szszuzczcdt0(sK10(szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK10(szNzAzT0)))) ),
inference(resolution,[],[f284,f526]) ).
fof(f3403,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| aElement0(szszuzczcdt0(sK10(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3364,f315]) ).
fof(f3364,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK10(szNzAzT0))) ),
inference(resolution,[],[f284,f507]) ).
fof(f3402,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sP1(sK10(szNzAzT0)) ),
inference(subsumption_resolution,[],[f3363,f315]) ).
fof(f3363,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP1(sK10(szNzAzT0)) ),
inference(resolution,[],[f284,f355]) ).
fof(f3401,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sz00 = sK10(szNzAzT0)
| sK10(szNzAzT0) = szszuzczcdt0(sK12(sK10(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3362,f315]) ).
fof(f3362,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK10(szNzAzT0)
| sK10(szNzAzT0) = szszuzczcdt0(sK12(sK10(szNzAzT0))) ),
inference(resolution,[],[f284,f345]) ).
fof(f3400,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| sK10(szNzAzT0) = sbrdtbr0(slbdtrb0(sK10(szNzAzT0))) ),
inference(subsumption_resolution,[],[f3361,f315]) ).
fof(f3361,plain,
( aElementOf0(szNzAzT0,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK10(szNzAzT0) = sbrdtbr0(slbdtrb0(sK10(szNzAzT0))) ),
inference(resolution,[],[f284,f341]) ).
fof(f3399,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElement0(sK10(sdtmndt0(xQ,xy))) ),
inference(subsumption_resolution,[],[f3360,f268]) ).
fof(f3360,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElement0(sK10(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f284,f269]) ).
fof(f3398,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK10(sdtmndt0(xQ,xy)),xQ) ),
inference(subsumption_resolution,[],[f3359,f268]) ).
fof(f3359,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK10(sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f284,f270]) ).
fof(f3397,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| aElementOf0(sK10(sdtmndt0(xQ,xy)),xP) ),
inference(subsumption_resolution,[],[f3358,f268]) ).
fof(f3358,plain,
( aElementOf0(sdtmndt0(xQ,xy),slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK10(sdtmndt0(xQ,xy)),xP) ),
inference(resolution,[],[f284,f652]) ).
fof(f3390,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK10(X0)) ),
inference(duplicate_literal_removal,[],[f3356]) ).
fof(f3356,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(sK10(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f284,f327]) ).
fof(f3391,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK10(X0)),sK10(X0)) = X0 ),
inference(duplicate_literal_removal,[],[f3355]) ).
fof(f3355,plain,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK10(X0)),sK10(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f284,f328]) ).
fof(f3394,plain,
! [X0] :
( aElementOf0(sK10(sK11(slbdtsldtrb0(xS,xk),X0)),sK11(slbdtsldtrb0(xS,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3354,f279]) ).
fof(f3354,plain,
! [X0] :
( aElementOf0(sK10(sK11(slbdtsldtrb0(xS,xk),X0)),sK11(slbdtsldtrb0(xS,xk),X0))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSet0(sK11(slbdtsldtrb0(xS,xk),X0))
| aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f284,f334]) ).
fof(f3393,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f3353,f279]) ).
fof(f3353,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f284,f327]) ).
fof(f3392,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0) ),
inference(subsumption_resolution,[],[f3352,f279]) ).
fof(f3352,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f284,f328]) ).
fof(f3350,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f284,f282]) ).
fof(f3348,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aElement0(X0) ),
inference(resolution,[],[f284,f671]) ).
fof(f3347,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f284,f668]) ).
fof(f3346,plain,
! [X0,X1] :
( aElementOf0(sK10(X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f284,f281]) ).
fof(f284,plain,
! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(X8),X8)
| xk != sbrdtbr0(X8)
| ~ aSet0(X8) ),
inference(cnf_transformation,[],[f187]) ).
fof(f3311,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(subsumption_resolution,[],[f3310,f1832]) ).
fof(f3310,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aElement0(sK15(slcrc0)) ),
inference(subsumption_resolution,[],[f3305,f449]) ).
fof(f3305,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aElement0(sK15(slcrc0)) ),
inference(superposition,[],[f318,f3004]) ).
fof(f3309,plain,
( sP3(sK15(slcrc0),sdtpldt0(slcrc0,sK15(slcrc0)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(subsumption_resolution,[],[f3303,f1832]) ).
fof(f3303,plain,
( sP3(sK15(slcrc0),sdtpldt0(slcrc0,sK15(slcrc0)),slcrc0)
| ~ aElement0(sK15(slcrc0))
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(superposition,[],[f441,f3004]) ).
fof(f3308,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(subsumption_resolution,[],[f3307,f1832]) ).
fof(f3307,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aElement0(sK15(slcrc0))
| ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(subsumption_resolution,[],[f3301,f312]) ).
fof(f3301,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK15(slcrc0)))
| ~ aElement0(sK15(slcrc0))
| ~ isCountable0(sdtpldt0(slcrc0,sK15(slcrc0))) ),
inference(superposition,[],[f704,f3004]) ).
fof(f3004,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK15(slcrc0)),sK15(slcrc0)),
inference(resolution,[],[f2820,f1832]) ).
fof(f3300,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(subsumption_resolution,[],[f3299,f508]) ).
fof(f3299,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00)) ),
inference(subsumption_resolution,[],[f3294,f449]) ).
fof(f3294,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00)) ),
inference(superposition,[],[f318,f2977]) ).
fof(f3298,plain,
( sP3(szszuzczcdt0(sz00),sdtpldt0(slcrc0,szszuzczcdt0(sz00)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(subsumption_resolution,[],[f3292,f508]) ).
fof(f3292,plain,
( sP3(szszuzczcdt0(sz00),sdtpldt0(slcrc0,szszuzczcdt0(sz00)),slcrc0)
| ~ aElement0(szszuzczcdt0(sz00))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(superposition,[],[f441,f2977]) ).
fof(f3297,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(subsumption_resolution,[],[f3296,f508]) ).
fof(f3296,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(subsumption_resolution,[],[f3290,f312]) ).
fof(f3290,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
inference(superposition,[],[f704,f2977]) ).
fof(f2977,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00)),
inference(resolution,[],[f2820,f508]) ).
fof(f3278,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(subsumption_resolution,[],[f3277,f736]) ).
fof(f3277,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aElement0(sK12(xk)) ),
inference(subsumption_resolution,[],[f3272,f449]) ).
fof(f3272,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aElement0(sK12(xk)) ),
inference(superposition,[],[f318,f3001]) ).
fof(f3276,plain,
( sP3(sK12(xk),sdtpldt0(slcrc0,sK12(xk)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(subsumption_resolution,[],[f3270,f736]) ).
fof(f3270,plain,
( sP3(sK12(xk),sdtpldt0(slcrc0,sK12(xk)),slcrc0)
| ~ aElement0(sK12(xk))
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(superposition,[],[f441,f3001]) ).
fof(f3275,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK12(xk)))
| ~ isCountable0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(subsumption_resolution,[],[f3274,f736]) ).
fof(f3274,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aElement0(sK12(xk))
| ~ isCountable0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(subsumption_resolution,[],[f3268,f312]) ).
fof(f3268,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK12(xk)))
| ~ aElement0(sK12(xk))
| ~ isCountable0(sdtpldt0(slcrc0,sK12(xk))) ),
inference(superposition,[],[f704,f3001]) ).
fof(f3001,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK12(xk)),sK12(xk)),
inference(resolution,[],[f2820,f736]) ).
fof(f3266,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(subsumption_resolution,[],[f3265,f510]) ).
fof(f3265,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aElement0(szszuzczcdt0(xk)) ),
inference(subsumption_resolution,[],[f3260,f449]) ).
fof(f3260,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aElement0(szszuzczcdt0(xk)) ),
inference(superposition,[],[f318,f2983]) ).
fof(f3264,plain,
( sP3(szszuzczcdt0(xk),sdtpldt0(slcrc0,szszuzczcdt0(xk)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(subsumption_resolution,[],[f3258,f510]) ).
fof(f3258,plain,
( sP3(szszuzczcdt0(xk),sdtpldt0(slcrc0,szszuzczcdt0(xk)),slcrc0)
| ~ aElement0(szszuzczcdt0(xk))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(superposition,[],[f441,f2983]) ).
fof(f3263,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(subsumption_resolution,[],[f3262,f510]) ).
fof(f3262,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aElement0(szszuzczcdt0(xk))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(subsumption_resolution,[],[f3256,f312]) ).
fof(f3256,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(xk)))
| ~ aElement0(szszuzczcdt0(xk))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(xk))) ),
inference(superposition,[],[f704,f2983]) ).
fof(f2983,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(xk)),szszuzczcdt0(xk)),
inference(resolution,[],[f2820,f510]) ).
fof(f3240,plain,
! [X0] :
( sdtlseqdt0(X0,sK15(slbdtrb0(X0)))
| ~ aElementOf0(sK15(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) ),
inference(subsumption_resolution,[],[f3234,f335]) ).
fof(f3234,plain,
! [X0] :
( sdtlseqdt0(X0,sK15(slbdtrb0(X0)))
| ~ aElementOf0(sK15(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) ),
inference(resolution,[],[f419,f368]) ).
fof(f419,plain,
! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f3098,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ isCountable0(sdtpldt0(slcrc0,sz00)) ),
inference(subsumption_resolution,[],[f3097,f478]) ).
fof(f3097,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00)
| ~ isCountable0(sdtpldt0(slcrc0,sz00)) ),
inference(subsumption_resolution,[],[f3091,f312]) ).
fof(f3091,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00)
| ~ isCountable0(sdtpldt0(slcrc0,sz00)) ),
inference(superposition,[],[f704,f2976]) ).
fof(f3087,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK7))
| ~ isCountable0(sdtpldt0(slcrc0,sK7)) ),
inference(subsumption_resolution,[],[f3086,f497]) ).
fof(f3086,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK7))
| ~ aElement0(sK7)
| ~ isCountable0(sdtpldt0(slcrc0,sK7)) ),
inference(subsumption_resolution,[],[f3080,f312]) ).
fof(f3080,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK7))
| ~ aElement0(sK7)
| ~ isCountable0(sdtpldt0(slcrc0,sK7)) ),
inference(superposition,[],[f704,f2994]) ).
fof(f3198,plain,
! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f3197,f337]) ).
fof(f3197,plain,
! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f3195,f313]) ).
fof(f3195,plain,
! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f418,f314]) ).
fof(f3194,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ),
inference(resolution,[],[f418,f331]) ).
fof(f3192,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) ),
inference(resolution,[],[f418,f332]) ).
fof(f3191,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) = slbdtrb0(X1)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ),
inference(resolution,[],[f418,f2480]) ).
fof(f418,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f3076,plain,
( ~ aSet0(sdtpldt0(slcrc0,xy))
| ~ isCountable0(sdtpldt0(slcrc0,xy)) ),
inference(subsumption_resolution,[],[f3075,f255]) ).
fof(f3075,plain,
( ~ aSet0(sdtpldt0(slcrc0,xy))
| ~ aElement0(xy)
| ~ isCountable0(sdtpldt0(slcrc0,xy)) ),
inference(subsumption_resolution,[],[f3069,f312]) ).
fof(f3069,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xy))
| ~ aElement0(xy)
| ~ isCountable0(sdtpldt0(slcrc0,xy)) ),
inference(superposition,[],[f704,f2993]) ).
fof(f3041,plain,
( ~ aSet0(sdtpldt0(slcrc0,xQ))
| ~ isCountable0(sdtpldt0(slcrc0,xQ)) ),
inference(subsumption_resolution,[],[f3040,f496]) ).
fof(f3040,plain,
( ~ aSet0(sdtpldt0(slcrc0,xQ))
| ~ aElement0(xQ)
| ~ isCountable0(sdtpldt0(slcrc0,xQ)) ),
inference(subsumption_resolution,[],[f3034,f312]) ).
fof(f3034,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xQ))
| ~ aElement0(xQ)
| ~ isCountable0(sdtpldt0(slcrc0,xQ)) ),
inference(superposition,[],[f704,f2992]) ).
fof(f3156,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(subsumption_resolution,[],[f3155,f505]) ).
fof(f3155,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ sP1(szszuzczcdt0(X1)) ),
inference(subsumption_resolution,[],[f3134,f555]) ).
fof(f3134,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ sP1(szszuzczcdt0(X1)) ),
inference(resolution,[],[f417,f782]) ).
fof(f417,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f3030,plain,
( ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f3029,f452]) ).
fof(f3029,plain,
( ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f3023,f312]) ).
fof(f3023,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(superposition,[],[f704,f2991]) ).
fof(f3019,plain,
( ~ aSet0(sdtpldt0(slcrc0,xk))
| ~ isCountable0(sdtpldt0(slcrc0,xk)) ),
inference(subsumption_resolution,[],[f3018,f460]) ).
fof(f3018,plain,
( ~ aSet0(sdtpldt0(slcrc0,xk))
| ~ aElement0(xk)
| ~ isCountable0(sdtpldt0(slcrc0,xk)) ),
inference(subsumption_resolution,[],[f3012,f312]) ).
fof(f3012,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xk))
| ~ aElement0(xk)
| ~ isCountable0(sdtpldt0(slcrc0,xk)) ),
inference(superposition,[],[f704,f2990]) ).
fof(f3101,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ aSet0(sdtpldt0(slcrc0,sz00)) ),
inference(subsumption_resolution,[],[f3100,f478]) ).
fof(f3100,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00) ),
inference(subsumption_resolution,[],[f3095,f449]) ).
fof(f3095,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00) ),
inference(superposition,[],[f318,f2976]) ).
fof(f3099,plain,
( sP3(sz00,sdtpldt0(slcrc0,sz00),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sz00)) ),
inference(subsumption_resolution,[],[f3093,f478]) ).
fof(f3093,plain,
( sP3(sz00,sdtpldt0(slcrc0,sz00),slcrc0)
| ~ aElement0(sz00)
| ~ aSet0(sdtpldt0(slcrc0,sz00)) ),
inference(superposition,[],[f441,f2976]) ).
fof(f2976,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00),
inference(resolution,[],[f2820,f478]) ).
fof(f3090,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK7))
| ~ aSet0(sdtpldt0(slcrc0,sK7)) ),
inference(subsumption_resolution,[],[f3089,f497]) ).
fof(f3089,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK7))
| ~ aSet0(sdtpldt0(slcrc0,sK7))
| ~ aElement0(sK7) ),
inference(subsumption_resolution,[],[f3084,f449]) ).
fof(f3084,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,sK7))
| ~ aSet0(sdtpldt0(slcrc0,sK7))
| ~ aElement0(sK7) ),
inference(superposition,[],[f318,f2994]) ).
fof(f3088,plain,
( sP3(sK7,sdtpldt0(slcrc0,sK7),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK7)) ),
inference(subsumption_resolution,[],[f3082,f497]) ).
fof(f3082,plain,
( sP3(sK7,sdtpldt0(slcrc0,sK7),slcrc0)
| ~ aElement0(sK7)
| ~ aSet0(sdtpldt0(slcrc0,sK7)) ),
inference(superposition,[],[f441,f2994]) ).
fof(f2994,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK7),sK7),
inference(resolution,[],[f2820,f497]) ).
fof(f3079,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xy))
| ~ aSet0(sdtpldt0(slcrc0,xy)) ),
inference(subsumption_resolution,[],[f3078,f255]) ).
fof(f3078,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xy))
| ~ aSet0(sdtpldt0(slcrc0,xy))
| ~ aElement0(xy) ),
inference(subsumption_resolution,[],[f3073,f449]) ).
fof(f3073,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,xy))
| ~ aSet0(sdtpldt0(slcrc0,xy))
| ~ aElement0(xy) ),
inference(superposition,[],[f318,f2993]) ).
fof(f3077,plain,
( sP3(xy,sdtpldt0(slcrc0,xy),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xy)) ),
inference(subsumption_resolution,[],[f3071,f255]) ).
fof(f3071,plain,
( sP3(xy,sdtpldt0(slcrc0,xy),slcrc0)
| ~ aElement0(xy)
| ~ aSet0(sdtpldt0(slcrc0,xy)) ),
inference(superposition,[],[f441,f2993]) ).
fof(f2993,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xy),xy),
inference(resolution,[],[f2820,f255]) ).
fof(f3062,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP0(szszuzczcdt0(X1),X2) ),
inference(duplicate_literal_removal,[],[f3045]) ).
fof(f3045,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(X1),X2) ),
inference(resolution,[],[f416,f351]) ).
fof(f416,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f3044,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xQ))
| ~ aSet0(sdtpldt0(slcrc0,xQ)) ),
inference(subsumption_resolution,[],[f3043,f496]) ).
fof(f3043,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xQ))
| ~ aSet0(sdtpldt0(slcrc0,xQ))
| ~ aElement0(xQ) ),
inference(subsumption_resolution,[],[f3038,f449]) ).
fof(f3038,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,xQ))
| ~ aSet0(sdtpldt0(slcrc0,xQ))
| ~ aElement0(xQ) ),
inference(superposition,[],[f318,f2992]) ).
fof(f3042,plain,
( sP3(xQ,sdtpldt0(slcrc0,xQ),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xQ)) ),
inference(subsumption_resolution,[],[f3036,f496]) ).
fof(f3036,plain,
( sP3(xQ,sdtpldt0(slcrc0,xQ),slcrc0)
| ~ aElement0(xQ)
| ~ aSet0(sdtpldt0(slcrc0,xQ)) ),
inference(superposition,[],[f441,f2992]) ).
fof(f2992,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xQ),xQ),
inference(resolution,[],[f2820,f496]) ).
fof(f3033,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f3032,f452]) ).
fof(f3032,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f3027,f449]) ).
fof(f3027,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,xx))
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ spl22_1 ),
inference(superposition,[],[f318,f2991]) ).
fof(f3031,plain,
( sP3(xx,sdtpldt0(slcrc0,xx),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f3025,f452]) ).
fof(f3025,plain,
( sP3(xx,sdtpldt0(slcrc0,xx),slcrc0)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ spl22_1 ),
inference(superposition,[],[f441,f2991]) ).
fof(f2991,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xx),xx)
| ~ spl22_1 ),
inference(resolution,[],[f2820,f452]) ).
fof(f3022,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xk))
| ~ aSet0(sdtpldt0(slcrc0,xk)) ),
inference(subsumption_resolution,[],[f3021,f460]) ).
fof(f3021,plain,
( ~ isCountable0(sdtpldt0(slcrc0,xk))
| ~ aSet0(sdtpldt0(slcrc0,xk))
| ~ aElement0(xk) ),
inference(subsumption_resolution,[],[f3016,f449]) ).
fof(f3016,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,xk))
| ~ aSet0(sdtpldt0(slcrc0,xk))
| ~ aElement0(xk) ),
inference(superposition,[],[f318,f2990]) ).
fof(f3020,plain,
( sP3(xk,sdtpldt0(slcrc0,xk),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,xk)) ),
inference(subsumption_resolution,[],[f3014,f460]) ).
fof(f3014,plain,
( sP3(xk,sdtpldt0(slcrc0,xk),slcrc0)
| ~ aElement0(xk)
| ~ aSet0(sdtpldt0(slcrc0,xk)) ),
inference(superposition,[],[f441,f2990]) ).
fof(f2990,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xk),xk),
inference(resolution,[],[f2820,f460]) ).
fof(f3008,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK17(slbdtsldtrb0(xS,xk))),sK17(slbdtsldtrb0(xS,xk))),
inference(resolution,[],[f2820,f1477]) ).
fof(f3005,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK17(X0)),sK17(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(resolution,[],[f2820,f592]) ).
fof(f2998,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK12(szszuzczcdt0(X0))),sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f2820,f735]) ).
fof(f2997,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK11(X0,xQ)),sK11(X0,xQ))
| ~ aSet0(X0)
| aSubsetOf0(xQ,X0) ),
inference(resolution,[],[f2820,f1811]) ).
fof(f2996,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK11(X0,szNzAzT0)),sK11(X0,szNzAzT0))
| ~ aSet0(X0)
| aSubsetOf0(szNzAzT0,X0) ),
inference(resolution,[],[f2820,f1797]) ).
fof(f2995,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK11(X0,xP)),sK11(X0,xP))
| ~ aSet0(X0)
| aSubsetOf0(xP,X0) ),
inference(resolution,[],[f2820,f1815]) ).
fof(f2988,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f2820,f321]) ).
fof(f2986,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK15(X0))),szszuzczcdt0(sK15(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f2820,f573]) ).
fof(f2984,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK12(X0))),szszuzczcdt0(sK12(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f2820,f724]) ).
fof(f2981,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sbrdtbr0(X0))),szszuzczcdt0(sbrdtbr0(X0)))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f2820,f517]) ).
fof(f2978,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(szszuzczcdt0(X0))),szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f2820,f509]) ).
fof(f2820,plain,
! [X0] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0) ),
inference(subsumption_resolution,[],[f2764,f436]) ).
fof(f2764,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(resolution,[],[f376,f435]) ).
fof(f414,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f2895,plain,
( ~ aSet0(sdtpldt0(xQ,xx))
| ~ isCountable0(sdtpldt0(xQ,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2894,f452]) ).
fof(f2894,plain,
( ~ aSet0(sdtpldt0(xQ,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtpldt0(xQ,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2888,f258]) ).
fof(f2888,plain,
( ~ isFinite0(xQ)
| ~ aSet0(sdtpldt0(xQ,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtpldt0(xQ,xx))
| ~ spl22_1 ),
inference(superposition,[],[f704,f2856]) ).
fof(f2909,plain,
( sP3(xx,xP,sdtmndt0(xQ,xy))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2908,f273]) ).
fof(f2908,plain,
( sP3(xx,xP,sdtmndt0(xQ,xy))
| ~ aSet0(xP)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2904,f452]) ).
fof(f2904,plain,
( sP3(xx,xP,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(xP)
| ~ spl22_1 ),
inference(superposition,[],[f441,f2859]) ).
fof(f2859,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| ~ spl22_1 ),
inference(forward_demodulation,[],[f2858,f278]) ).
fof(f2858,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xx),xx)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2857,f452]) ).
fof(f2857,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xx),xx)
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f2803,f268]) ).
fof(f2803,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xx),xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(resolution,[],[f376,f306]) ).
fof(f2896,plain,
( sP3(xx,sdtpldt0(xQ,xx),xQ)
| ~ aSet0(sdtpldt0(xQ,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2890,f452]) ).
fof(f2890,plain,
( sP3(xx,sdtpldt0(xQ,xx),xQ)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xQ,xx))
| ~ spl22_1 ),
inference(superposition,[],[f441,f2856]) ).
fof(f2856,plain,
( xQ = sdtmndt0(sdtpldt0(xQ,xx),xx)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f2855,f452]) ).
fof(f2855,plain,
( xQ = sdtmndt0(sdtpldt0(xQ,xx),xx)
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f2802,f257]) ).
fof(f2802,plain,
( xQ = sdtmndt0(sdtpldt0(xQ,xx),xx)
| ~ aSet0(xQ)
| ~ aElement0(xx) ),
inference(resolution,[],[f376,f251]) ).
fof(f2868,plain,
! [X0] :
( slbdtrb0(X0) = sdtmndt0(sdtpldt0(slbdtrb0(X0),sK12(xk)),sK12(xk))
| sdtlseqdt0(xk,X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f2867,f479]) ).
fof(f2867,plain,
! [X0] :
( slbdtrb0(X0) = sdtmndt0(sdtpldt0(slbdtrb0(X0),sK12(xk)),sK12(xk))
| ~ aSet0(slbdtrb0(X0))
| sdtlseqdt0(xk,X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f2810,f736]) ).
fof(f2810,plain,
! [X0] :
( slbdtrb0(X0) = sdtmndt0(sdtpldt0(slbdtrb0(X0),sK12(xk)),sK12(xk))
| ~ aSet0(slbdtrb0(X0))
| ~ aElement0(sK12(xk))
| sdtlseqdt0(xk,X0)
| ~ sP1(X0) ),
inference(resolution,[],[f376,f1121]) ).
fof(f2816,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK11(X0,X1)),sK11(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK11(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ),
inference(duplicate_literal_removal,[],[f2808]) ).
fof(f2808,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK11(X0,X1)),sK11(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK11(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(resolution,[],[f376,f334]) ).
fof(f2850,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2849,f321]) ).
fof(f2849,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2798,f315]) ).
fof(f2798,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f376,f325]) ).
fof(f2847,plain,
! [X0] :
( sK17(slbdtsldtrb0(xS,xk)) = sdtmndt0(sdtpldt0(sK17(slbdtsldtrb0(xS,xk)),X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f2796,f603]) ).
fof(f2796,plain,
! [X0] :
( sK17(slbdtsldtrb0(xS,xk)) = sdtmndt0(sdtpldt0(sK17(slbdtsldtrb0(xS,xk)),X0),X0)
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(resolution,[],[f376,f952]) ).
fof(f2846,plain,
! [X0] :
( sK17(slbdtsldtrb0(xS,xk)) = sdtmndt0(sdtpldt0(sK17(slbdtsldtrb0(xS,xk)),X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2795,f603]) ).
fof(f2795,plain,
! [X0] :
( sK17(slbdtsldtrb0(xS,xk)) = sdtmndt0(sdtpldt0(sK17(slbdtsldtrb0(xS,xk)),X0),X0)
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(resolution,[],[f376,f1094]) ).
fof(f2845,plain,
! [X0] :
( sK7 = sdtmndt0(sdtpldt0(sK7,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f2794,f485]) ).
fof(f2794,plain,
! [X0] :
( sK7 = sdtmndt0(sdtpldt0(sK7,X0),X0)
| ~ aSet0(sK7)
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(resolution,[],[f376,f949]) ).
fof(f2844,plain,
! [X0] :
( sK7 = sdtmndt0(sdtpldt0(sK7,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2793,f485]) ).
fof(f2793,plain,
! [X0] :
( sK7 = sdtmndt0(sdtpldt0(sK7,X0),X0)
| ~ aSet0(sK7)
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(resolution,[],[f376,f1093]) ).
fof(f2843,plain,
! [X0] :
( xP = sdtmndt0(sdtpldt0(xP,X0),X0)
| ~ aElement0(X0)
| xx = X0
| aElementOf0(X0,xQ) ),
inference(subsumption_resolution,[],[f2791,f273]) ).
fof(f2791,plain,
! [X0] :
( xP = sdtmndt0(sdtpldt0(xP,X0),X0)
| ~ aSet0(xP)
| ~ aElement0(X0)
| xx = X0
| aElementOf0(X0,xQ) ),
inference(resolution,[],[f376,f897]) ).
fof(f2842,plain,
! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f2790,f257]) ).
fof(f2790,plain,
! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| ~ aSet0(xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xS) ),
inference(resolution,[],[f376,f261]) ).
fof(f2841,plain,
! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2789,f257]) ).
fof(f2789,plain,
! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| ~ aSet0(xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xT) ),
inference(resolution,[],[f376,f1092]) ).
fof(f2840,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aElement0(X0)
| aSet0(X0) ),
inference(subsumption_resolution,[],[f2787,f287]) ).
fof(f2787,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| aSet0(X0) ),
inference(resolution,[],[f376,f288]) ).
fof(f2839,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aElement0(X0)
| aSubsetOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2786,f287]) ).
fof(f2786,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f376,f290]) ).
fof(f2838,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk ),
inference(subsumption_resolution,[],[f2785,f287]) ).
fof(f2785,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk ),
inference(resolution,[],[f376,f291]) ).
fof(f2837,plain,
! [X0,X1] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(subsumption_resolution,[],[f2784,f287]) ).
fof(f2784,plain,
! [X0,X1] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(resolution,[],[f376,f289]) ).
fof(f2836,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aElement0(X0)
| aSet0(X0) ),
inference(subsumption_resolution,[],[f2783,f279]) ).
fof(f2783,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aSet0(X0) ),
inference(resolution,[],[f376,f280]) ).
fof(f2835,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aElement0(X0)
| aSubsetOf0(X0,xS) ),
inference(subsumption_resolution,[],[f2782,f279]) ).
fof(f2782,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f376,f282]) ).
fof(f2834,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk ),
inference(subsumption_resolution,[],[f2781,f279]) ).
fof(f2781,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk ),
inference(resolution,[],[f376,f283]) ).
fof(f2833,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aElement0(X0)
| aSubsetOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2779,f279]) ).
fof(f2779,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f376,f668]) ).
fof(f2832,plain,
! [X0,X1] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(subsumption_resolution,[],[f2778,f279]) ).
fof(f2778,plain,
! [X0,X1] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f376,f281]) ).
fof(f2831,plain,
! [X0,X1] :
( slbdtrb0(X0) = sdtmndt0(sdtpldt0(slbdtrb0(X0),X1),X1)
| ~ aElement0(X1)
| aElementOf0(X1,szNzAzT0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f2777,f479]) ).
fof(f2777,plain,
! [X0,X1] :
( slbdtrb0(X0) = sdtmndt0(sdtpldt0(slbdtrb0(X0),X1),X1)
| ~ aSet0(slbdtrb0(X0))
| ~ aElement0(X1)
| aElementOf0(X1,szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f376,f555]) ).
fof(f2830,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f2776,f315]) ).
fof(f2776,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0))) ),
inference(resolution,[],[f376,f1103]) ).
fof(f2829,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sz00 = X0
| aElement0(sK12(X0)) ),
inference(subsumption_resolution,[],[f2775,f315]) ).
fof(f2775,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| aElement0(sK12(X0)) ),
inference(resolution,[],[f376,f727]) ).
fof(f2828,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f2773,f315]) ).
fof(f2773,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(resolution,[],[f376,f526]) ).
fof(f2827,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f2772,f315]) ).
fof(f2772,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| aElement0(szszuzczcdt0(X0)) ),
inference(resolution,[],[f376,f507]) ).
fof(f2826,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sP1(X0) ),
inference(subsumption_resolution,[],[f2771,f315]) ).
fof(f2771,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP1(X0) ),
inference(resolution,[],[f376,f355]) ).
fof(f2825,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK12(X0)) = X0 ),
inference(subsumption_resolution,[],[f2770,f315]) ).
fof(f2770,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK12(X0)) = X0 ),
inference(resolution,[],[f376,f345]) ).
fof(f2824,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(subsumption_resolution,[],[f2769,f315]) ).
fof(f2769,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(resolution,[],[f376,f341]) ).
fof(f2823,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2817,f442]) ).
fof(f2817,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f2768]) ).
fof(f2768,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f376,f866]) ).
fof(f2822,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xQ) ),
inference(subsumption_resolution,[],[f2766,f268]) ).
fof(f2766,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xQ) ),
inference(resolution,[],[f376,f270]) ).
fof(f2821,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,xP) ),
inference(subsumption_resolution,[],[f2765,f268]) ).
fof(f2765,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xP) ),
inference(resolution,[],[f376,f652]) ).
fof(f2819,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ),
inference(duplicate_literal_removal,[],[f2762]) ).
fof(f2762,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f376,f328]) ).
fof(f376,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1121,plain,
! [X0] :
( ~ aElementOf0(sK12(xk),slbdtrb0(X0))
| sdtlseqdt0(xk,X0)
| ~ sP1(X0) ),
inference(superposition,[],[f782,f1106]) ).
fof(f2734,plain,
! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) ),
inference(resolution,[],[f359,f357]) ).
fof(f359,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f448,plain,
! [X2,X0,X1] :
( sK19(X0,X1,X2) != X0
| sP3(X0,X1,X2)
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f394]) ).
fof(f433,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f370]) ).
fof(f370,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK16(X0,X1))
& aElementOf0(sK16(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f214,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK16(X0,X1))
& aElementOf0(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f2523,plain,
! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f2511]) ).
fof(f2511,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f2480,f1788]) ).
fof(f1875,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),sK7) ),
inference(superposition,[],[f1688,f982]) ).
fof(f2582,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP0(X0,X2) ),
inference(duplicate_literal_removal,[],[f2573]) ).
fof(f2573,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sP0(X0,X2) ),
inference(resolution,[],[f413,f351]) ).
fof(f413,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f2529,plain,
( xT = sK7
| ~ aSubsetOf0(xT,sK7) ),
inference(subsumption_resolution,[],[f2520,f266]) ).
fof(f2520,plain,
( xT = sK7
| ~ aSubsetOf0(xT,sK7)
| ~ aSet0(xT) ),
inference(resolution,[],[f2480,f676]) ).
fof(f2527,plain,
( xT = xQ
| ~ aSubsetOf0(xT,xQ) ),
inference(subsumption_resolution,[],[f2517,f266]) ).
fof(f2517,plain,
( xT = xQ
| ~ aSubsetOf0(xT,xQ)
| ~ aSet0(xT) ),
inference(resolution,[],[f2480,f675]) ).
fof(f2528,plain,
( xS = sK7
| ~ aSubsetOf0(xS,sK7) ),
inference(subsumption_resolution,[],[f2519,f265]) ).
fof(f2519,plain,
( xS = sK7
| ~ aSubsetOf0(xS,sK7)
| ~ aSet0(xS) ),
inference(resolution,[],[f2480,f512]) ).
fof(f2526,plain,
( xS = xQ
| ~ aSubsetOf0(xS,xQ) ),
inference(subsumption_resolution,[],[f2516,f265]) ).
fof(f2516,plain,
( xS = xQ
| ~ aSubsetOf0(xS,xQ)
| ~ aSet0(xS) ),
inference(resolution,[],[f2480,f262]) ).
fof(f2531,plain,
( xT = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(xT,sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f2522,f266]) ).
fof(f2522,plain,
( xT = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(xT,sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(xT) ),
inference(resolution,[],[f2480,f679]) ).
fof(f2530,plain,
( xS = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(xS,sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f2521,f265]) ).
fof(f2521,plain,
( xS = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(xS,sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(xS) ),
inference(resolution,[],[f2480,f601]) ).
fof(f2525,plain,
( slbdtsldtrb0(xS,xk) = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f2515,f287]) ).
fof(f2515,plain,
( slbdtsldtrb0(xS,xk) = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f2480,f296]) ).
fof(f2510,plain,
! [X0] :
( slbdtrb0(sK15(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK15(X0)),X0)
| ~ aSet0(slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f2480,f368]) ).
fof(f2480,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f399,f331]) ).
fof(f2250,plain,
! [X0,X1] :
( ~ sP0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X1) ),
inference(subsumption_resolution,[],[f2242,f342]) ).
fof(f2242,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[],[f351,f336]) ).
fof(f2415,plain,
! [X0] :
( ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ sP5(X0,sz00) ),
inference(resolution,[],[f1249,f443]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sP4(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ),
inference(superposition,[],[f444,f476]) ).
fof(f2405,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(xQ,X0)
| xS = sdtpldt0(sdtmndt0(xS,sK11(X0,xQ)),sK11(X0,xQ)) ),
inference(subsumption_resolution,[],[f2402,f265]) ).
fof(f2402,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(xQ,X0)
| xS = sdtpldt0(sdtmndt0(xS,sK11(X0,xQ)),sK11(X0,xQ))
| ~ aSet0(xS) ),
inference(resolution,[],[f1813,f328]) ).
fof(f1813,plain,
! [X0] :
( aElementOf0(sK11(X0,xQ),xS)
| ~ aSet0(X0)
| aSubsetOf0(xQ,X0) ),
inference(subsumption_resolution,[],[f1778,f257]) ).
fof(f1778,plain,
! [X0] :
( aSubsetOf0(xQ,X0)
| ~ aSet0(xQ)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,xQ),xS) ),
inference(resolution,[],[f333,f261]) ).
fof(f2398,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f378,f438]) ).
fof(f378,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ( sK18(X0,X1,X2) != X0
& ~ aElementOf0(sK18(X0,X1,X2),X1) )
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) )
& ( ( ( sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1) )
& aElement0(sK18(X0,X1,X2)) )
| aElementOf0(sK18(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f224,f225]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK18(X0,X1,X2) != X0
& ~ aElementOf0(sK18(X0,X1,X2),X1) )
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) )
& ( ( ( sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1) )
& aElement0(sK18(X0,X1,X2)) )
| aElementOf0(sK18(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1811,plain,
! [X0] :
( aElement0(sK11(X0,xQ))
| ~ aSet0(X0)
| aSubsetOf0(xQ,X0) ),
inference(subsumption_resolution,[],[f1776,f257]) ).
fof(f1776,plain,
! [X0] :
( aSubsetOf0(xQ,X0)
| ~ aSet0(xQ)
| ~ aSet0(X0)
| aElement0(sK11(X0,xQ)) ),
inference(resolution,[],[f333,f1632]) ).
fof(f2252,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(szszuzczcdt0(X0)),X1) ),
inference(subsumption_resolution,[],[f2244,f342]) ).
fof(f2244,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[],[f351,f340]) ).
fof(f2251,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ sP0(X2,X1)
| ~ aElementOf0(X0,slbdtrb0(X2))
| ~ sP1(X2) ),
inference(subsumption_resolution,[],[f2243,f555]) ).
fof(f2243,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(X2,X1)
| ~ aElementOf0(X0,slbdtrb0(X2))
| ~ sP1(X2) ),
inference(resolution,[],[f351,f782]) ).
fof(f351,plain,
! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
& aElementOf0(sK13(X0,X1),szNzAzT0) )
| aElementOf0(sK13(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f202,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
& aElementOf0(sK13(X0,X1),szNzAzT0) )
| aElementOf0(sK13(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1797,plain,
! [X0] :
( aElement0(sK11(X0,szNzAzT0))
| ~ aSet0(X0)
| aSubsetOf0(szNzAzT0,X0) ),
inference(subsumption_resolution,[],[f1762,f315]) ).
fof(f1762,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| aElement0(sK11(X0,szNzAzT0)) ),
inference(resolution,[],[f333,f656]) ).
fof(f2183,plain,
! [X0] :
( ~ aElementOf0(sK11(xP,X0),xQ)
| xy = sK11(xP,X0)
| aSubsetOf0(X0,xP)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2181,f273]) ).
fof(f2181,plain,
! [X0] :
( ~ aElementOf0(sK11(xP,X0),xQ)
| xy = sK11(xP,X0)
| aSubsetOf0(X0,xP)
| ~ aSet0(X0)
| ~ aSet0(xP) ),
inference(resolution,[],[f2164,f334]) ).
fof(f2182,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| xy = X0
| xP = sdtpldt0(sdtmndt0(xP,X0),X0) ),
inference(subsumption_resolution,[],[f2177,f273]) ).
fof(f2177,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| xy = X0
| xP = sdtpldt0(sdtmndt0(xP,X0),X0)
| ~ aSet0(xP) ),
inference(resolution,[],[f2164,f328]) ).
fof(f2164,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aElementOf0(X0,xQ)
| xy = X0 ),
inference(resolution,[],[f2111,f652]) ).
fof(f2174,plain,
! [X0] :
( xy = sK11(sdtmndt0(xQ,xy),X0)
| ~ aElementOf0(sK11(sdtmndt0(xQ,xy),X0),xQ)
| aSubsetOf0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2172,f268]) ).
fof(f2172,plain,
! [X0] :
( xy = sK11(sdtmndt0(xQ,xy),X0)
| ~ aElementOf0(sK11(sdtmndt0(xQ,xy),X0),xQ)
| aSubsetOf0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(resolution,[],[f2111,f334]) ).
fof(f2173,plain,
! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0) ),
inference(subsumption_resolution,[],[f2168,f268]) ).
fof(f2168,plain,
! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(resolution,[],[f2111,f328]) ).
fof(f2111,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ) ),
inference(subsumption_resolution,[],[f272,f1632]) ).
fof(f1694,plain,
( sdtlseqdt0(szszuzczcdt0(xk),xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xQ) ),
inference(superposition,[],[f1686,f986]) ).
fof(f1692,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xQ) ),
inference(superposition,[],[f1686,f982]) ).
fof(f2057,plain,
( slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0)
| aElementOf0(szmzazxdt0(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f2048,f637]) ).
fof(f2048,plain,
( slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0)
| aElementOf0(szmzazxdt0(sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(resolution,[],[f432,f952]) ).
fof(f2056,plain,
( slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0)
| aElementOf0(szmzazxdt0(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f2047,f637]) ).
fof(f2047,plain,
( slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0)
| aElementOf0(szmzazxdt0(sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(resolution,[],[f432,f1094]) ).
fof(f2029,plain,
! [X0] :
( slcrc0 = slbdtrb0(X0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0)
| aElementOf0(szmzazxdt0(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f432,f555]) ).
fof(f2016,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f432,f327]) ).
fof(f2015,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f432,f328]) ).
fof(f432,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f363]) ).
fof(f363,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK14(X0,X1),X1)
& aElementOf0(sK14(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f207,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK14(X0,X1),X1)
& aElementOf0(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f1794,plain,
! [X0] :
( sP1(sK11(X0,szNzAzT0))
| ~ aSet0(X0)
| aSubsetOf0(szNzAzT0,X0) ),
inference(subsumption_resolution,[],[f1759,f315]) ).
fof(f1759,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP1(sK11(X0,szNzAzT0)) ),
inference(resolution,[],[f333,f355]) ).
fof(f1815,plain,
! [X0] :
( aElement0(sK11(X0,xP))
| ~ aSet0(X0)
| aSubsetOf0(xP,X0) ),
inference(subsumption_resolution,[],[f1780,f273]) ).
fof(f1780,plain,
! [X0] :
( aSubsetOf0(xP,X0)
| ~ aSet0(xP)
| ~ aSet0(X0)
| aElement0(sK11(X0,xP)) ),
inference(resolution,[],[f333,f274]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) = X2
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP4(X1,X0,X2) )
& ( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP4(X1,X0,X2) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1951,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f1948,f327]) ).
fof(f1948,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f379,f438]) ).
fof(f379,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1645,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00)) ),
inference(subsumption_resolution,[],[f1644,f478]) ).
fof(f1644,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00) ),
inference(subsumption_resolution,[],[f1640,f475]) ).
fof(f1640,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00) ),
inference(superposition,[],[f319,f1567]) ).
fof(f1619,plain,
( ~ aSet0(sdtmndt0(xP,xx))
| ~ isCountable0(sdtmndt0(xP,xx))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1618,f452]) ).
fof(f1618,plain,
( ~ aSet0(sdtmndt0(xP,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtmndt0(xP,xx))
| ~ spl22_2
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1612,f715]) ).
fof(f1612,plain,
( ~ isFinite0(xP)
| ~ aSet0(sdtmndt0(xP,xx))
| ~ aElement0(xx)
| ~ isCountable0(sdtmndt0(xP,xx))
| ~ spl22_2 ),
inference(superposition,[],[f686,f1573]) ).
fof(f356,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1601,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(subsumption_resolution,[],[f1600,f460]) ).
fof(f1600,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk))
| ~ aElement0(xk) ),
inference(subsumption_resolution,[],[f1596,f475]) ).
fof(f1596,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk))
| ~ aElement0(xk) ),
inference(superposition,[],[f319,f1571]) ).
fof(f1896,plain,
( isCountable0(xT)
| ~ isCountable0(sdtmndt0(xT,xy))
| ~ aSet0(sdtmndt0(xT,xy)) ),
inference(subsumption_resolution,[],[f1891,f255]) ).
fof(f1891,plain,
( isCountable0(xT)
| ~ isCountable0(sdtmndt0(xT,xy))
| ~ aSet0(sdtmndt0(xT,xy))
| ~ aElement0(xy) ),
inference(superposition,[],[f317,f1577]) ).
fof(f1893,plain,
( sP2(xy,sdtmndt0(xT,xy),xT)
| ~ aSet0(sdtmndt0(xT,xy)) ),
inference(subsumption_resolution,[],[f1889,f255]) ).
fof(f1889,plain,
( sP2(xy,sdtmndt0(xT,xy),xT)
| ~ aElement0(xy)
| ~ aSet0(sdtmndt0(xT,xy)) ),
inference(superposition,[],[f438,f1577]) ).
fof(f1577,plain,
xT = sdtpldt0(sdtmndt0(xT,xy),xy),
inference(subsumption_resolution,[],[f1544,f266]) ).
fof(f1544,plain,
( xT = sdtpldt0(sdtmndt0(xT,xy),xy)
| ~ aSet0(xT) ),
inference(resolution,[],[f328,f1125]) ).
fof(f1877,plain,
( sdtlseqdt0(szszuzczcdt0(xk),xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),sK7) ),
inference(superposition,[],[f1688,f986]) ).
fof(f1688,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK7) ),
inference(subsumption_resolution,[],[f1687,f485]) ).
fof(f1687,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK7)
| ~ aSet0(sK7) ),
inference(subsumption_resolution,[],[f1679,f547]) ).
fof(f1679,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK7)
| ~ isFinite0(sK7)
| ~ aSet0(sK7) ),
inference(superposition,[],[f329,f540]) ).
fof(f1873,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,xy))
| ~ aSet0(sdtmndt0(xS,xy)) ),
inference(subsumption_resolution,[],[f1868,f255]) ).
fof(f1868,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,xy))
| ~ aSet0(sdtmndt0(xS,xy))
| ~ aElement0(xy) ),
inference(superposition,[],[f317,f1576]) ).
fof(f1870,plain,
( sP2(xy,sdtmndt0(xS,xy),xS)
| ~ aSet0(sdtmndt0(xS,xy)) ),
inference(subsumption_resolution,[],[f1866,f255]) ).
fof(f1866,plain,
( sP2(xy,sdtmndt0(xS,xy),xS)
| ~ aElement0(xy)
| ~ aSet0(sdtmndt0(xS,xy)) ),
inference(superposition,[],[f438,f1576]) ).
fof(f1576,plain,
xS = sdtpldt0(sdtmndt0(xS,xy),xy),
inference(subsumption_resolution,[],[f1543,f265]) ).
fof(f1543,plain,
( xS = sdtpldt0(sdtmndt0(xS,xy),xy)
| ~ aSet0(xS) ),
inference(resolution,[],[f328,f472]) ).
fof(f1854,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSubsetOf0(sK11(slbdtsldtrb0(xS,xk),X0),xS) ),
inference(subsumption_resolution,[],[f1849,f279]) ).
fof(f1849,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xS,xk),X0))
| ~ aSubsetOf0(sK11(slbdtsldtrb0(xS,xk),X0),xS) ),
inference(resolution,[],[f334,f286]) ).
fof(f1853,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aElementOf0(sK11(slbdtsldtrb0(xT,xk),X0),slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f1848,f287]) ).
fof(f1848,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(sK11(slbdtsldtrb0(xT,xk),X0),slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f334,f295]) ).
fof(f1852,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aSubsetOf0(sK11(slbdtsldtrb0(xT,xk),X0),xT) ),
inference(subsumption_resolution,[],[f1847,f287]) ).
fof(f1847,plain,
! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(sK11(slbdtsldtrb0(xT,xk),X0))
| ~ aSubsetOf0(sK11(slbdtsldtrb0(xT,xk),X0),xT) ),
inference(resolution,[],[f334,f294]) ).
fof(f1851,plain,
! [X0] :
( aSubsetOf0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| xx = sK11(sdtmndt0(xQ,xy),X0)
| ~ aElementOf0(sK11(sdtmndt0(xQ,xy),X0),xP) ),
inference(subsumption_resolution,[],[f1846,f268]) ).
fof(f1846,plain,
! [X0] :
( aSubsetOf0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| xx = sK11(sdtmndt0(xQ,xy),X0)
| ~ aElementOf0(sK11(sdtmndt0(xQ,xy),X0),xP) ),
inference(resolution,[],[f334,f275]) ).
fof(f334,plain,
! [X0,X1] :
( ~ aElementOf0(sK11(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f194,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1731,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[],[f1682,f476]) ).
fof(f1832,plain,
aElement0(sK15(slcrc0)),
inference(subsumption_resolution,[],[f1831,f312]) ).
fof(f1831,plain,
( ~ isFinite0(slcrc0)
| aElement0(sK15(slcrc0)) ),
inference(subsumption_resolution,[],[f1825,f315]) ).
fof(f1825,plain,
( ~ aSet0(szNzAzT0)
| ~ isFinite0(slcrc0)
| aElement0(sK15(slcrc0)) ),
inference(resolution,[],[f1788,f576]) ).
fof(f1788,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1753,f436]) ).
fof(f1753,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(resolution,[],[f333,f435]) ).
fof(f1819,plain,
! [X0] :
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(subsumption_resolution,[],[f1784,f603]) ).
fof(f1784,plain,
! [X0] :
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK17(slbdtsldtrb0(xS,xk))),xS) ),
inference(resolution,[],[f333,f952]) ).
fof(f1818,plain,
! [X0] :
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(subsumption_resolution,[],[f1783,f603]) ).
fof(f1783,plain,
! [X0] :
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK17(slbdtsldtrb0(xS,xk))),xT) ),
inference(resolution,[],[f333,f1094]) ).
fof(f1817,plain,
! [X0] :
( aSubsetOf0(sK7,X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK7),xS) ),
inference(subsumption_resolution,[],[f1782,f485]) ).
fof(f1782,plain,
! [X0] :
( aSubsetOf0(sK7,X0)
| ~ aSet0(sK7)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK7),xS) ),
inference(resolution,[],[f333,f949]) ).
fof(f1816,plain,
! [X0] :
( aSubsetOf0(sK7,X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK7),xT) ),
inference(subsumption_resolution,[],[f1781,f485]) ).
fof(f1781,plain,
! [X0] :
( aSubsetOf0(sK7,X0)
| ~ aSet0(sK7)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sK7),xT) ),
inference(resolution,[],[f333,f1093]) ).
fof(f1814,plain,
! [X0] :
( aSubsetOf0(xP,X0)
| ~ aSet0(X0)
| xx = sK11(X0,xP)
| aElementOf0(sK11(X0,xP),xQ) ),
inference(subsumption_resolution,[],[f1779,f273]) ).
fof(f1779,plain,
! [X0] :
( aSubsetOf0(xP,X0)
| ~ aSet0(xP)
| ~ aSet0(X0)
| xx = sK11(X0,xP)
| aElementOf0(sK11(X0,xP),xQ) ),
inference(resolution,[],[f333,f897]) ).
fof(f1812,plain,
! [X0] :
( aSubsetOf0(xQ,X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,xQ),xT) ),
inference(subsumption_resolution,[],[f1777,f257]) ).
fof(f1777,plain,
! [X0] :
( aSubsetOf0(xQ,X0)
| ~ aSet0(xQ)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,xQ),xT) ),
inference(resolution,[],[f333,f1092]) ).
fof(f1810,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f1775,f287]) ).
fof(f1775,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f333,f288]) ).
fof(f1809,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xT,xk)),xT) ),
inference(subsumption_resolution,[],[f1774,f287]) ).
fof(f1774,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f333,f290]) ).
fof(f1808,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f1773,f287]) ).
fof(f1773,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f333,f291]) ).
fof(f1807,plain,
! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xT,xk)))
| aElementOf0(X1,xT) ),
inference(subsumption_resolution,[],[f1772,f287]) ).
fof(f1772,plain,
! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xT,xk)))
| aElementOf0(X1,xT) ),
inference(resolution,[],[f333,f289]) ).
fof(f1806,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f1771,f279]) ).
fof(f1771,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f333,f280]) ).
fof(f1805,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f1770,f279]) ).
fof(f1770,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f333,f282]) ).
fof(f1804,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f1769,f279]) ).
fof(f1769,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f333,f283]) ).
fof(f1803,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| aElement0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f1768,f279]) ).
fof(f1768,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aElement0(sK11(X0,slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f333,f671]) ).
fof(f1802,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xT) ),
inference(subsumption_resolution,[],[f1767,f279]) ).
fof(f1767,plain,
! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xT) ),
inference(resolution,[],[f333,f668]) ).
fof(f1801,plain,
! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xS,xk)))
| aElementOf0(X1,xS) ),
inference(subsumption_resolution,[],[f1766,f279]) ).
fof(f1766,plain,
! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xS,xk)))
| aElementOf0(X1,xS) ),
inference(resolution,[],[f333,f281]) ).
fof(f1800,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK11(X1,slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f1765,f479]) ).
fof(f1765,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(slbdtrb0(X0))
| ~ aSet0(X1)
| aElementOf0(sK11(X1,slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f333,f555]) ).
fof(f1799,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| szszuzczcdt0(sK11(X0,szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK11(X0,szNzAzT0)))) ),
inference(subsumption_resolution,[],[f1764,f315]) ).
fof(f1764,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| szszuzczcdt0(sK11(X0,szNzAzT0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK11(X0,szNzAzT0)))) ),
inference(resolution,[],[f333,f1103]) ).
fof(f1798,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK11(X0,szNzAzT0)
| aElement0(sK12(sK11(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f1763,f315]) ).
fof(f1763,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK11(X0,szNzAzT0)
| aElement0(sK12(sK11(X0,szNzAzT0))) ),
inference(resolution,[],[f333,f727]) ).
fof(f1796,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| szszuzczcdt0(sK11(X0,szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK11(X0,szNzAzT0)))) ),
inference(subsumption_resolution,[],[f1761,f315]) ).
fof(f1761,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| szszuzczcdt0(sK11(X0,szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK11(X0,szNzAzT0)))) ),
inference(resolution,[],[f333,f526]) ).
fof(f1795,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK11(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f1760,f315]) ).
fof(f1760,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK11(X0,szNzAzT0))) ),
inference(resolution,[],[f333,f507]) ).
fof(f1793,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK11(X0,szNzAzT0)
| sK11(X0,szNzAzT0) = szszuzczcdt0(sK12(sK11(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f1758,f315]) ).
fof(f1758,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK11(X0,szNzAzT0)
| sK11(X0,szNzAzT0) = szszuzczcdt0(sK12(sK11(X0,szNzAzT0))) ),
inference(resolution,[],[f333,f345]) ).
fof(f1792,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sK11(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK11(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f1757,f315]) ).
fof(f1757,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sK11(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK11(X0,szNzAzT0))) ),
inference(resolution,[],[f333,f341]) ).
fof(f1791,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(X0)
| aElement0(sK11(X0,sdtmndt0(xQ,xy))) ),
inference(subsumption_resolution,[],[f1756,f268]) ).
fof(f1756,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| aElement0(sK11(X0,sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f333,f269]) ).
fof(f1790,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xQ) ),
inference(subsumption_resolution,[],[f1755,f268]) ).
fof(f1755,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f333,f270]) ).
fof(f1789,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xP) ),
inference(subsumption_resolution,[],[f1754,f268]) ).
fof(f1754,plain,
! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xP) ),
inference(resolution,[],[f333,f652]) ).
fof(f1786,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK11(X1,X0)) ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK11(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f333,f327]) ).
fof(f1787,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK11(X1,X0)),sK11(X1,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f1751]) ).
fof(f1751,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK11(X1,X0)),sK11(X1,X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f333,f328]) ).
fof(f333,plain,
! [X0,X1] :
( aElementOf0(sK11(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1734,plain,
( sdtlseqdt0(szszuzczcdt0(xk),sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),slcrc0) ),
inference(superposition,[],[f1682,f986]) ).
fof(f1732,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),slcrc0) ),
inference(superposition,[],[f1682,f982]) ).
fof(f1682,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(subsumption_resolution,[],[f1681,f436]) ).
fof(f1681,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(subsumption_resolution,[],[f1668,f312]) ).
fof(f1668,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f329,f476]) ).
fof(f1701,plain,
( sdtlseqdt0(xk,xk)
| ~ aSubsetOf0(xQ,xQ) ),
inference(superposition,[],[f1686,f259]) ).
fof(f1691,plain,
( sdtlseqdt0(sz00,xk)
| ~ aSubsetOf0(slcrc0,xQ) ),
inference(superposition,[],[f1686,f476]) ).
fof(f1703,plain,
( sdtlseqdt0(xk,xk)
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xQ) ),
inference(superposition,[],[f1686,f599]) ).
fof(f1702,plain,
( sdtlseqdt0(xk,xk)
| ~ aSubsetOf0(sK7,xQ) ),
inference(superposition,[],[f1686,f540]) ).
fof(f1697,plain,
( sdtlseqdt0(xk,xk)
| ~ aSubsetOf0(slbdtrb0(xk),xQ) ),
inference(superposition,[],[f1686,f528]) ).
fof(f1686,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ) ),
inference(subsumption_resolution,[],[f1685,f257]) ).
fof(f1685,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ)
| ~ aSet0(xQ) ),
inference(subsumption_resolution,[],[f1678,f258]) ).
fof(f1678,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f329,f259]) ).
fof(f1690,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f1689,f603]) ).
fof(f1689,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f1680,f637]) ).
fof(f1680,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| ~ isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(superposition,[],[f329,f599]) ).
fof(f1671,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(xk))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(xk)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xk)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f329,f986]) ).
fof(f1669,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f329,f982]) ).
fof(f1667,plain,
! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f599]) ).
fof(f1666,plain,
! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(sK7,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f540]) ).
fof(f1665,plain,
! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f259]) ).
fof(f1661,plain,
! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f528]) ).
fof(f1658,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(xk),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f986]) ).
fof(f1656,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f982]) ).
fof(f1655,plain,
! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSubsetOf0(slcrc0,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f329,f476]) ).
fof(f329,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f1517,plain,
( ~ aSubsetOf0(slbdtrb0(xk),xT)
| aElement0(slbdtrb0(xk)) ),
inference(trivial_inequality_removal,[],[f1507]) ).
fof(f1507,plain,
( xk != xk
| ~ aSubsetOf0(slbdtrb0(xk),xT)
| aElement0(slbdtrb0(xk)) ),
inference(superposition,[],[f1369,f528]) ).
fof(f1643,plain,
( sP2(sz00,sdtmndt0(szNzAzT0,sz00),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00)) ),
inference(subsumption_resolution,[],[f1639,f478]) ).
fof(f1639,plain,
( sP2(sz00,sdtmndt0(szNzAzT0,sz00),szNzAzT0)
| ~ aElement0(sz00)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00)) ),
inference(superposition,[],[f438,f1567]) ).
fof(f1567,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00),
inference(subsumption_resolution,[],[f1533,f315]) ).
fof(f1533,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f328,f313]) ).
fof(f1632,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0) ),
inference(resolution,[],[f1630,f377]) ).
fof(f1630,plain,
sP2(xy,sdtmndt0(xQ,xy),xQ),
inference(subsumption_resolution,[],[f1629,f268]) ).
fof(f1629,plain,
( sP2(xy,sdtmndt0(xQ,xy),xQ)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(subsumption_resolution,[],[f1625,f255]) ).
fof(f1625,plain,
( sP2(xy,sdtmndt0(xQ,xy),xQ)
| ~ aElement0(xy)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f438,f1575]) ).
fof(f1575,plain,
xQ = sdtpldt0(sdtmndt0(xQ,xy),xy),
inference(subsumption_resolution,[],[f1542,f257]) ).
fof(f1542,plain,
( xQ = sdtpldt0(sdtmndt0(xQ,xy),xy)
| ~ aSet0(xQ) ),
inference(resolution,[],[f328,f256]) ).
fof(f1620,plain,
( sP2(xx,sdtmndt0(xP,xx),xP)
| ~ aSet0(sdtmndt0(xP,xx))
| ~ spl22_1
| ~ spl22_2 ),
inference(subsumption_resolution,[],[f1614,f452]) ).
fof(f1614,plain,
( sP2(xx,sdtmndt0(xP,xx),xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xP,xx))
| ~ spl22_2 ),
inference(superposition,[],[f438,f1573]) ).
fof(f1573,plain,
( xP = sdtpldt0(sdtmndt0(xP,xx),xx)
| ~ spl22_2 ),
inference(subsumption_resolution,[],[f1540,f273]) ).
fof(f1540,plain,
( xP = sdtpldt0(sdtmndt0(xP,xx),xx)
| ~ aSet0(xP)
| ~ spl22_2 ),
inference(resolution,[],[f328,f457]) ).
fof(f1611,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f1606,f452]) ).
fof(f1606,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx) ),
inference(superposition,[],[f317,f1572]) ).
fof(f1608,plain,
( sP2(xx,sdtmndt0(xS,xx),xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f1604,f452]) ).
fof(f1604,plain,
( sP2(xx,sdtmndt0(xS,xx),xS)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(superposition,[],[f438,f1572]) ).
fof(f1572,plain,
xS = sdtpldt0(sdtmndt0(xS,xx),xx),
inference(subsumption_resolution,[],[f1539,f265]) ).
fof(f1539,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f328,f253]) ).
fof(f1599,plain,
( sP2(xk,sdtmndt0(szNzAzT0,xk),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(subsumption_resolution,[],[f1595,f460]) ).
fof(f1595,plain,
( sP2(xk,sdtmndt0(szNzAzT0,xk),szNzAzT0)
| ~ aElement0(xk)
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(superposition,[],[f438,f1571]) ).
fof(f1571,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk),
inference(subsumption_resolution,[],[f1538,f315]) ).
fof(f1538,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f328,f254]) ).
fof(f1561,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK17(X0)),sK17(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f1553]) ).
fof(f1553,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK17(X0)),sK17(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f328,f375]) ).
fof(f1585,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK15(X0)),sK15(X0))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1552,f315]) ).
fof(f1552,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK15(X0)),sK15(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f328,f367]) ).
fof(f1579,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK12(X0)),sK12(X0))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1546,f315]) ).
fof(f1546,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK12(X0)),sK12(X0))
| ~ aSet0(szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f328,f344]) ).
fof(f1578,plain,
slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),sK7),sK7),
inference(subsumption_resolution,[],[f1545,f279]) ).
fof(f1545,plain,
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),sK7),sK7)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f328,f304]) ).
fof(f1574,plain,
slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ),xQ),
inference(subsumption_resolution,[],[f1541,f279]) ).
fof(f1541,plain,
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ),xQ)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f328,f264]) ).
fof(f1537,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f328,f434]) ).
fof(f1570,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1536,f315]) ).
fof(f1536,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f328,f326]) ).
fof(f1568,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1534,f315]) ).
fof(f1534,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f328,f342]) ).
fof(f1566,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS) ),
inference(subsumption_resolution,[],[f1532,f279]) ).
fof(f1532,plain,
! [X0] :
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[],[f328,f286]) ).
fof(f1565,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f1531,f287]) ).
fof(f1531,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f328,f295]) ).
fof(f1564,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT) ),
inference(subsumption_resolution,[],[f1530,f287]) ).
fof(f1530,plain,
! [X0] :
( slbdtsldtrb0(xT,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT) ),
inference(resolution,[],[f328,f294]) ).
fof(f1529,plain,
! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f328,f446]) ).
fof(f1563,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| xx = X0
| ~ aElementOf0(X0,xP) ),
inference(subsumption_resolution,[],[f1528,f268]) ).
fof(f1528,plain,
! [X0] :
( sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| xx = X0
| ~ aElementOf0(X0,xP) ),
inference(resolution,[],[f328,f275]) ).
fof(f1562,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f1527,f439]) ).
fof(f1527,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f328,f842]) ).
fof(f328,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1520,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(xk),xT)
| aElement0(slbdtrb0(xk)) ),
inference(inner_rewriting,[],[f1504]) ).
fof(f1504,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xT)
| aElement0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f1369,f986]) ).
fof(f1518,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(xk),xT)
| aElement0(slbdtrb0(xk)) ),
inference(inner_rewriting,[],[f1502]) ).
fof(f1502,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xT)
| aElement0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f1369,f982]) ).
fof(f1369,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f1368,f287]) ).
fof(f1368,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f294,f327]) ).
fof(f1481,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xT)
| aSet0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f1367,f986]) ).
fof(f1479,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xT)
| aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f1367,f982]) ).
fof(f1367,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT)
| aSet0(X0) ),
inference(resolution,[],[f294,f288]) ).
fof(f1477,plain,
aElement0(sK17(slbdtsldtrb0(xS,xk))),
inference(subsumption_resolution,[],[f1466,f601]) ).
fof(f1466,plain,
( ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS)
| aElement0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(trivial_inequality_removal,[],[f1465]) ).
fof(f1465,plain,
( xk != xk
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS)
| aElement0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(superposition,[],[f1335,f599]) ).
fof(f1456,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xS)
| aElement0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f1335,f986]) ).
fof(f1454,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xS)
| aElement0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f1335,f982]) ).
fof(f1335,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f1334,f279]) ).
fof(f1334,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f286,f327]) ).
fof(f1433,plain,
( ~ aSubsetOf0(slbdtrb0(xk),xS)
| aSet0(slbdtrb0(xk)) ),
inference(trivial_inequality_removal,[],[f1423]) ).
fof(f1423,plain,
( xk != xk
| ~ aSubsetOf0(slbdtrb0(xk),xS)
| aSet0(slbdtrb0(xk)) ),
inference(superposition,[],[f1333,f528]) ).
fof(f1436,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(xk),xS)
| aSet0(slbdtrb0(xk)) ),
inference(inner_rewriting,[],[f1420]) ).
fof(f1420,plain,
( xk != szszuzczcdt0(xk)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f1333,f986]) ).
fof(f1434,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(xk),xS)
| aSet0(slbdtrb0(xk)) ),
inference(inner_rewriting,[],[f1418]) ).
fof(f1418,plain,
( xk != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f1333,f982]) ).
fof(f1333,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aSet0(X0) ),
inference(resolution,[],[f286,f280]) ).
fof(f1364,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xT)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(resolution,[],[f294,f289]) ).
fof(f294,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aSubsetOf0(X5,xT) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1309,plain,
( sP1(szszuzczcdt0(sz00))
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f505,f1273]) ).
fof(f1301,plain,
( sz00 != szszuzczcdt0(xk)
| ~ aElementOf0(sK12(sz00),szNzAzT0) ),
inference(inner_rewriting,[],[f1293]) ).
fof(f1330,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aElement0(X0) ),
inference(resolution,[],[f286,f671]) ).
fof(f1328,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f286,f281]) ).
fof(f286,plain,
! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ~ aSubsetOf0(X8,xS) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1295,plain,
( sP1(szszuzczcdt0(xk))
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f505,f1277]) ).
fof(f1313,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(sz00),X0)
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),slbdtrb0(X0))
| ~ sP1(X0) ),
inference(superposition,[],[f782,f1273]) ).
fof(f1310,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f509,f1273]) ).
fof(f1308,plain,
( aElementOf0(sK12(szszuzczcdt0(sz00)),slbdtrb0(szszuzczcdt0(sz00)))
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f446,f1273]) ).
fof(f1315,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aElementOf0(sK12(sz00),szNzAzT0) ),
inference(inner_rewriting,[],[f1307]) ).
fof(f1307,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f343,f1273]) ).
fof(f1306,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f342,f1273]) ).
fof(f1305,plain,
( sdtlseqdt0(sK12(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f340,f1273]) ).
fof(f1304,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f339,f1273]) ).
fof(f1314,plain,
( szszuzczcdt0(sz00) != sK12(szszuzczcdt0(sz00))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(inner_rewriting,[],[f1303]) ).
fof(f1303,plain,
( szszuzczcdt0(sz00) != sK12(szszuzczcdt0(sz00))
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f338,f1273]) ).
fof(f1273,plain,
szszuzczcdt0(sz00) = szszuzczcdt0(sK12(szszuzczcdt0(sz00))),
inference(resolution,[],[f1103,f313]) ).
fof(f1299,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(xk),X0)
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),slbdtrb0(X0))
| ~ sP1(X0) ),
inference(superposition,[],[f782,f1277]) ).
fof(f1296,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xk)))
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f509,f1277]) ).
fof(f1294,plain,
( aElementOf0(sK12(szszuzczcdt0(xk)),slbdtrb0(szszuzczcdt0(xk)))
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f446,f1277]) ).
fof(f1293,plain,
( sz00 != szszuzczcdt0(xk)
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f343,f1277]) ).
fof(f1292,plain,
( aElementOf0(szszuzczcdt0(xk),szNzAzT0)
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f342,f1277]) ).
fof(f1291,plain,
( sdtlseqdt0(sK12(szszuzczcdt0(xk)),szszuzczcdt0(xk))
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f340,f1277]) ).
fof(f1290,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xk),sz00)
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f339,f1277]) ).
fof(f1300,plain,
( szszuzczcdt0(xk) != sK12(szszuzczcdt0(xk))
| ~ aElementOf0(szszuzczcdt0(xk),szNzAzT0) ),
inference(inner_rewriting,[],[f1289]) ).
fof(f1289,plain,
( szszuzczcdt0(xk) != sK12(szszuzczcdt0(xk))
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
inference(superposition,[],[f338,f1277]) ).
fof(f1277,plain,
szszuzczcdt0(xk) = szszuzczcdt0(sK12(szszuzczcdt0(xk))),
inference(resolution,[],[f1103,f254]) ).
fof(f1281,plain,
! [X0] :
( szszuzczcdt0(sK15(X0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK15(X0))))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1103,f367]) ).
fof(f1278,plain,
! [X0] :
( szszuzczcdt0(sK12(X0)) = szszuzczcdt0(sK12(szszuzczcdt0(sK12(X0))))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1103,f344]) ).
fof(f1275,plain,
! [X0] :
( szszuzczcdt0(sbrdtbr0(X0)) = szszuzczcdt0(sK12(szszuzczcdt0(sbrdtbr0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f1103,f326]) ).
fof(f1274,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK12(szszuzczcdt0(szszuzczcdt0(X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1103,f342]) ).
fof(f1103,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f1096,f343]) ).
fof(f1096,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f345,f342]) ).
fof(f1272,plain,
! [X0] :
( ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,slbdtsldtrb0(X0,xk))
| ~ sP5(X0,xk) ),
inference(resolution,[],[f1258,f443]) ).
fof(f1258,plain,
! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) ),
inference(superposition,[],[f444,f259]) ).
fof(f1263,plain,
( aElementOf0(sK17(sK17(slbdtsldtrb0(xS,xk))),xT)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f1262,f603]) ).
fof(f1262,plain,
( aElementOf0(sK17(sK17(slbdtsldtrb0(xS,xk))),xT)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f1094,f375]) ).
fof(f1261,plain,
( aElementOf0(szmzizndt0(sK17(slbdtsldtrb0(xS,xk))),xT)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0) ),
inference(resolution,[],[f1094,f434]) ).
fof(f1094,plain,
! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f1090,f266]) ).
fof(f1090,plain,
! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f332,f679]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),X0)
| aElementOf0(sK17(slbdtsldtrb0(xS,xk)),X1) ),
inference(superposition,[],[f444,f599]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| aElementOf0(slbdtrb0(xk),X1) ),
inference(superposition,[],[f444,f528]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ sP4(szszuzczcdt0(xk),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(xk)),X1) ),
inference(superposition,[],[f444,f986]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ sP4(szszuzczcdt0(sz00),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(sz00)),X1) ),
inference(superposition,[],[f444,f982]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP5(X1,sbrdtbr0(X0)) ),
inference(resolution,[],[f444,f443]) ).
fof(f444,plain,
! [X2,X1,X4] :
( ~ sP4(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f407]) ).
fof(f407,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( ( sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK21(X0,X1,X2)) = X0
& aSubsetOf0(sK21(X0,X1,X2),X1) )
| aElementOf0(sK21(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f241,f242]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK21(X0,X1,X2)) = X0
& aSubsetOf0(sK21(X0,X1,X2),X1) )
| aElementOf0(sK21(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f240]) ).
fof(f240,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X1,X0,X2] :
( sP4(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1198,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP5(X1,X2) ),
inference(resolution,[],[f406,f443]) ).
fof(f406,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 ),
inference(cnf_transformation,[],[f243]) ).
fof(f361,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1112,plain,
( ~ sdtlseqdt0(xk,sz00)
| ~ aElementOf0(sK12(xk),szNzAzT0) ),
inference(superposition,[],[f339,f1106]) ).
fof(f1093,plain,
! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f1088,f266]) ).
fof(f1088,plain,
! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f332,f676]) ).
fof(f1125,plain,
aElementOf0(xy,xT),
inference(resolution,[],[f1092,f256]) ).
fof(f1092,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f1086,f266]) ).
fof(f1086,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f332,f675]) ).
fof(f1123,plain,
xk != sK12(xk),
inference(subsumption_resolution,[],[f1122,f254]) ).
fof(f1122,plain,
( xk != sK12(xk)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(inner_rewriting,[],[f1111]) ).
fof(f1116,plain,
( aElementOf0(sK12(xk),slbdtrb0(xk))
| ~ aElementOf0(sK12(xk),szNzAzT0) ),
inference(superposition,[],[f446,f1106]) ).
fof(f1113,plain,
( sdtlseqdt0(sK12(xk),xk)
| ~ aElementOf0(sK12(xk),szNzAzT0) ),
inference(superposition,[],[f340,f1106]) ).
fof(f1111,plain,
( xk != sK12(xk)
| ~ aElementOf0(sK12(xk),szNzAzT0) ),
inference(superposition,[],[f338,f1106]) ).
fof(f1106,plain,
xk = szszuzczcdt0(sK12(xk)),
inference(subsumption_resolution,[],[f1099,f267]) ).
fof(f1099,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK12(xk)) ),
inference(resolution,[],[f345,f254]) ).
fof(f1101,plain,
! [X0] :
( sz00 = sK15(X0)
| sK15(X0) = szszuzczcdt0(sK12(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f345,f367]) ).
fof(f1100,plain,
! [X0] :
( sz00 = sK12(X0)
| sK12(X0) = szszuzczcdt0(sK12(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f345,f344]) ).
fof(f1097,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK12(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f345,f326]) ).
fof(f345,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK12(X0)) = X0 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f115,f197]) ).
fof(f197,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1082,plain,
! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK15(X1)))
| ~ aSet0(slbdtrb0(sK15(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(resolution,[],[f332,f368]) ).
fof(f332,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f724,plain,
! [X0] :
( aElement0(szszuzczcdt0(sK12(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f344,f507]) ).
fof(f782,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ sP1(X1) ),
inference(resolution,[],[f350,f429]) ).
fof(f704,plain,
! [X0,X1] :
( ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f701,f442]) ).
fof(f701,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[],[f318,f357]) ).
fof(f686,plain,
! [X0,X1] :
( ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f684,f439]) ).
fof(f684,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f317,f357]) ).
fof(f1008,plain,
! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f289,f295]) ).
fof(f289,plain,
! [X7,X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X7,X5)
| aElementOf0(X7,xT) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1004,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f326,f982]) ).
fof(f1003,plain,
( sP1(szszuzczcdt0(sz00))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f518,f982]) ).
fof(f1002,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f517,f982]) ).
fof(f1001,plain,
( sz00 != szszuzczcdt0(sz00)
| slcrc0 = slbdtrb0(szszuzczcdt0(sz00))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f323,f982]) ).
fof(f982,plain,
szszuzczcdt0(sz00) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))),
inference(resolution,[],[f526,f313]) ).
fof(f997,plain,
( aElementOf0(szszuzczcdt0(xk),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xk)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f326,f986]) ).
fof(f996,plain,
( sP1(szszuzczcdt0(xk))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xk)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f518,f986]) ).
fof(f995,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xk)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xk)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f517,f986]) ).
fof(f994,plain,
( sz00 != szszuzczcdt0(xk)
| slcrc0 = slbdtrb0(szszuzczcdt0(xk))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xk))) ),
inference(superposition,[],[f323,f986]) ).
fof(f986,plain,
szszuzczcdt0(xk) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xk))),
inference(resolution,[],[f526,f254]) ).
fof(f988,plain,
! [X0] :
( szszuzczcdt0(sK15(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK15(X0))))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f367]) ).
fof(f987,plain,
! [X0] :
( szszuzczcdt0(sK12(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK12(X0))))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f344]) ).
fof(f984,plain,
! [X0] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sbrdtbr0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f526,f326]) ).
fof(f983,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f342]) ).
fof(f526,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(resolution,[],[f341,f342]) ).
fof(f981,plain,
( aElementOf0(sK17(sK17(slbdtsldtrb0(xS,xk))),xS)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f980,f603]) ).
fof(f980,plain,
( aElementOf0(sK17(sK17(slbdtsldtrb0(xS,xk))),xS)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f952,f375]) ).
fof(f979,plain,
( aElementOf0(szmzizndt0(sK17(slbdtsldtrb0(xS,xk))),xS)
| slcrc0 = sK17(slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),szNzAzT0) ),
inference(resolution,[],[f952,f434]) ).
fof(f952,plain,
! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f951,f279]) ).
fof(f951,plain,
! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f950,f305]) ).
fof(f950,plain,
! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS)
| slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f281,f375]) ).
fof(f956,plain,
( aElementOf0(sK17(sK7),xS)
| slcrc0 = sK7 ),
inference(subsumption_resolution,[],[f955,f485]) ).
fof(f955,plain,
( aElementOf0(sK17(sK7),xS)
| slcrc0 = sK7
| ~ aSet0(sK7) ),
inference(resolution,[],[f949,f375]) ).
fof(f954,plain,
( aElementOf0(szmzizndt0(sK7),xS)
| slcrc0 = sK7
| ~ aSubsetOf0(sK7,szNzAzT0) ),
inference(resolution,[],[f949,f434]) ).
fof(f949,plain,
! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xS) ),
inference(resolution,[],[f281,f304]) ).
fof(f281,plain,
! [X10,X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X10,X8)
| aElementOf0(X10,xS) ),
inference(cnf_transformation,[],[f187]) ).
fof(f928,plain,
( xx = sK17(xP)
| aElementOf0(sK17(xP),xQ)
| slcrc0 = xP ),
inference(subsumption_resolution,[],[f916,f273]) ).
fof(f916,plain,
( xx = sK17(xP)
| aElementOf0(sK17(xP),xQ)
| slcrc0 = xP
| ~ aSet0(xP) ),
inference(resolution,[],[f897,f375]) ).
fof(f897,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| xx = X0
| aElementOf0(X0,xQ) ),
inference(resolution,[],[f275,f270]) ).
fof(f902,plain,
( xx = xy
| ~ aElementOf0(xy,xP) ),
inference(resolution,[],[f275,f426]) ).
fof(f904,plain,
( xx = xy
| ~ aElementOf0(xy,xP) ),
inference(subsumption_resolution,[],[f903,f255]) ).
fof(f903,plain,
( xx = xy
| ~ aElementOf0(xy,xP)
| ~ aElement0(xy) ),
inference(subsumption_resolution,[],[f899,f257]) ).
fof(f899,plain,
( xx = xy
| ~ aElementOf0(xy,xP)
| ~ aSet0(xQ)
| ~ aElement0(xy) ),
inference(resolution,[],[f275,f866]) ).
fof(f275,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
fof(f818,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSet0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f803,f305]) ).
fof(f803,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSet0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f434,f280]) ).
fof(f606,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| aSet0(sK17(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f589,f287]) ).
fof(f589,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK17(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f375,f288]) ).
fof(f594,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| aElement0(sK17(sdtmndt0(xQ,xy))) ),
inference(subsumption_resolution,[],[f580,f268]) ).
fof(f580,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy))
| aElement0(sK17(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f375,f269]) ).
fof(f866,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f441,f440]) ).
fof(f842,plain,
! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f839]) ).
fof(f839,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f438,f437]) ).
fof(f865,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f441,f388]) ).
fof(f864,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ),
inference(resolution,[],[f441,f389]) ).
fof(f441,plain,
! [X0,X1] :
( sP3(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f397]) ).
fof(f397,plain,
! [X2,X0,X1] :
( sP3(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP3(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f143,f173]) ).
fof(f173,plain,
! [X1,X0,X2] :
( sP3(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f844,plain,
( sP2(xx,sdtmndt0(xQ,xy),xP)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f843,f268]) ).
fof(f843,plain,
( sP2(xx,sdtmndt0(xQ,xy),xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f841,f452]) ).
fof(f841,plain,
( sP2(xx,sdtmndt0(xQ,xy),xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f438,f278]) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f438,f377]) ).
fof(f438,plain,
! [X0,X1] :
( sP2(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP2(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f141,f171]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f806,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),szNzAzT0)
| aSet0(szmzizndt0(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f434,f288]) ).
fof(f805,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),szNzAzT0)
| aSubsetOf0(szmzizndt0(slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f434,f290]) ).
fof(f804,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),szNzAzT0)
| xk = sbrdtbr0(szmzizndt0(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f434,f291]) ).
fof(f817,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSubsetOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f802,f305]) ).
fof(f802,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSubsetOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f434,f282]) ).
fof(f816,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| xk = sbrdtbr0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f801,f305]) ).
fof(f801,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| xk = sbrdtbr0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f434,f283]) ).
fof(f815,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aElement0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f800,f305]) ).
fof(f800,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aElement0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f434,f671]) ).
fof(f814,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSubsetOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),xT) ),
inference(subsumption_resolution,[],[f799,f305]) ).
fof(f799,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSubsetOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),xT) ),
inference(resolution,[],[f434,f668]) ).
fof(f798,plain,
! [X0] :
( slcrc0 = slbdtrb0(X0)
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0)
| aElementOf0(szmzizndt0(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f434,f555]) ).
fof(f792,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElement0(szmzizndt0(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f434,f269]) ).
fof(f791,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElementOf0(szmzizndt0(sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f434,f270]) ).
fof(f790,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElementOf0(szmzizndt0(sdtmndt0(xQ,xy)),xP) ),
inference(resolution,[],[f434,f652]) ).
fof(f788,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f434,f327]) ).
fof(f434,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f369]) ).
fof(f369,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f787,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP5(X1,X2) ),
inference(resolution,[],[f405,f443]) ).
fof(f405,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f389,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sK19(X0,X1,X2) != X0
& aElementOf0(sK19(X0,X1,X2),X1)
& aElement0(sK19(X0,X1,X2)) )
| aElementOf0(sK19(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f231,f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sK19(X0,X1,X2) != X0
& aElementOf0(sK19(X0,X1,X2),X1)
& aElement0(sK19(X0,X1,X2)) )
| aElementOf0(sK19(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f173]) ).
fof(f786,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK15(X0))) ),
inference(resolution,[],[f368,f331]) ).
fof(f368,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
& aElementOf0(sK15(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f134,f210]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
& aElementOf0(sK15(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f350,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f596,plain,
( slcrc0 = szNzAzT0
| aElement0(szszuzczcdt0(sK17(szNzAzT0))) ),
inference(subsumption_resolution,[],[f582,f315]) ).
fof(f582,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK17(szNzAzT0))) ),
inference(resolution,[],[f375,f507]) ).
fof(f748,plain,
( sz00 = sK17(szNzAzT0)
| aElement0(sK12(sK17(szNzAzT0)))
| slcrc0 = szNzAzT0 ),
inference(subsumption_resolution,[],[f734,f315]) ).
fof(f734,plain,
( sz00 = sK17(szNzAzT0)
| aElement0(sK12(sK17(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f727,f375]) ).
fof(f735,plain,
! [X0] :
( aElement0(sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f729,f343]) ).
fof(f729,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| aElement0(sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f727,f342]) ).
fof(f736,plain,
aElement0(sK12(xk)),
inference(subsumption_resolution,[],[f731,f267]) ).
fof(f731,plain,
( sz00 = xk
| aElement0(sK12(xk)) ),
inference(resolution,[],[f727,f254]) ).
fof(f733,plain,
! [X0] :
( sz00 = sK15(X0)
| aElement0(sK12(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f727,f367]) ).
fof(f732,plain,
! [X0] :
( sz00 = sK12(X0)
| aElement0(sK12(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f727,f344]) ).
fof(f730,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| aElement0(sK12(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f727,f326]) ).
fof(f727,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElement0(sK12(X0)) ),
inference(subsumption_resolution,[],[f726,f315]) ).
fof(f726,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK12(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f344,f327]) ).
fof(f725,plain,
! [X0] :
( sP1(sK12(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f344,f355]) ).
fof(f715,plain,
( isFinite0(xP)
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl22_16
<=> isFinite0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f723,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK12(X0) = sbrdtbr0(slbdtrb0(sK12(X0))) ),
inference(resolution,[],[f344,f341]) ).
fof(f722,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK12(X0)) ),
inference(resolution,[],[f344,f656]) ).
fof(f344,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f320,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f707,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f706,f452]) ).
fof(f706,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f705,f268]) ).
fof(f705,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(superposition,[],[f319,f278]) ).
fof(f319,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f318,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f679,plain,
aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xT),
inference(subsumption_resolution,[],[f678,f279]) ).
fof(f678,plain,
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xT)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(subsumption_resolution,[],[f677,f305]) ).
fof(f677,plain,
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xT)
| slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f668,f375]) ).
fof(f688,plain,
( isCountable0(xP)
| ~ isCountable0(sdtmndt0(xQ,xy))
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f687,f452]) ).
fof(f687,plain,
( isCountable0(xP)
| ~ isCountable0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f685,f268]) ).
fof(f685,plain,
( isCountable0(xP)
| ~ isCountable0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(superposition,[],[f317,f278]) ).
fof(f317,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f676,plain,
aSubsetOf0(sK7,xT),
inference(resolution,[],[f668,f304]) ).
fof(f675,plain,
aSubsetOf0(xQ,xT),
inference(resolution,[],[f668,f264]) ).
fof(f668,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X0,xT) ),
inference(resolution,[],[f295,f290]) ).
fof(f671,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElement0(X0) ),
inference(subsumption_resolution,[],[f670,f287]) ).
fof(f670,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElement0(X0)
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f295,f327]) ).
fof(f295,plain,
! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f573,plain,
! [X0] :
( aElement0(szszuzczcdt0(sK15(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f367,f507]) ).
fof(f666,plain,
! [X0] :
( aElementOf0(sK17(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0)
| slcrc0 = slbdtrb0(X0) ),
inference(subsumption_resolution,[],[f664,f479]) ).
fof(f664,plain,
! [X0] :
( aElementOf0(sK17(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0)
| slcrc0 = slbdtrb0(X0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f555,f375]) ).
fof(f555,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP1(X1) ),
inference(resolution,[],[f349,f429]) ).
fof(f656,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f655,f505]) ).
fof(f655,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(szszuzczcdt0(X0)) ),
inference(resolution,[],[f535,f479]) ).
fof(f535,plain,
! [X0] :
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f446,f327]) ).
fof(f654,plain,
( aElementOf0(sK17(sdtmndt0(xQ,xy)),xP)
| slcrc0 = sdtmndt0(xQ,xy) ),
inference(subsumption_resolution,[],[f653,f268]) ).
fof(f653,plain,
( aElementOf0(sK17(sdtmndt0(xQ,xy)),xP)
| slcrc0 = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(resolution,[],[f652,f375]) ).
fof(f652,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| aElementOf0(X0,xP) ),
inference(subsumption_resolution,[],[f276,f269]) ).
fof(f651,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) ),
inference(resolution,[],[f443,f404]) ).
fof(f443,plain,
! [X0,X1] :
( sP4(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) ),
inference(equality_resolution,[],[f402]) ).
fof(f402,plain,
! [X2,X0,X1] :
( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f437,plain,
! [X2,X1,X4] :
( ~ sP2(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f380]) ).
fof(f380,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f388,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f233]) ).
fof(f592,plain,
! [X0] :
( aElement0(sK17(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f577]) ).
fof(f577,plain,
! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK17(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f375,f327]) ).
fof(f576,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| aElement0(sK15(X0)) ),
inference(subsumption_resolution,[],[f575,f315]) ).
fof(f575,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK15(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f367,f327]) ).
fof(f377,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f226]) ).
fof(f607,plain,
( slcrc0 = xQ
| aElementOf0(sK17(xQ),xS) ),
inference(subsumption_resolution,[],[f590,f257]) ).
fof(f590,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| aElementOf0(sK17(xQ),xS) ),
inference(resolution,[],[f375,f261]) ).
fof(f637,plain,
isFinite0(sK17(slbdtsldtrb0(xS,xk))),
inference(subsumption_resolution,[],[f636,f603]) ).
fof(f636,plain,
( isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f634,f254]) ).
fof(f634,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(superposition,[],[f325,f599]) ).
fof(f599,plain,
xk = sbrdtbr0(sK17(slbdtsldtrb0(xS,xk))),
inference(subsumption_resolution,[],[f598,f279]) ).
fof(f598,plain,
( ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f584,f305]) ).
fof(f584,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f375,f283]) ).
fof(f597,plain,
( slcrc0 = szNzAzT0
| sP1(sK17(szNzAzT0)) ),
inference(subsumption_resolution,[],[f583,f315]) ).
fof(f583,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP1(sK17(szNzAzT0)) ),
inference(resolution,[],[f375,f355]) ).
fof(f608,plain,
( slcrc0 = xP
| aElement0(sK17(xP)) ),
inference(subsumption_resolution,[],[f591,f273]) ).
fof(f591,plain,
( slcrc0 = xP
| ~ aSet0(xP)
| aElement0(sK17(xP)) ),
inference(resolution,[],[f375,f274]) ).
fof(f611,plain,
( isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ isFinite0(xS) ),
inference(subsumption_resolution,[],[f609,f265]) ).
fof(f609,plain,
( isFinite0(sK17(slbdtsldtrb0(xS,xk)))
| ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f601,f362]) ).
fof(f601,plain,
aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS),
inference(subsumption_resolution,[],[f600,f279]) ).
fof(f600,plain,
( ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS) ),
inference(subsumption_resolution,[],[f585,f305]) ).
fof(f585,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS) ),
inference(resolution,[],[f375,f282]) ).
fof(f603,plain,
aSet0(sK17(slbdtsldtrb0(xS,xk))),
inference(subsumption_resolution,[],[f602,f279]) ).
fof(f602,plain,
( ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(subsumption_resolution,[],[f586,f305]) ).
fof(f586,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
inference(resolution,[],[f375,f280]) ).
fof(f605,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| aSubsetOf0(sK17(slbdtsldtrb0(xT,xk)),xT) ),
inference(subsumption_resolution,[],[f588,f287]) ).
fof(f588,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK17(slbdtsldtrb0(xT,xk)),xT) ),
inference(resolution,[],[f375,f290]) ).
fof(f604,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xT,xk))) ),
inference(subsumption_resolution,[],[f587,f287]) ).
fof(f587,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xT,xk))) ),
inference(resolution,[],[f375,f291]) ).
fof(f595,plain,
( slcrc0 = szNzAzT0
| sK17(szNzAzT0) = sbrdtbr0(slbdtrb0(sK17(szNzAzT0))) ),
inference(subsumption_resolution,[],[f581,f315]) ).
fof(f581,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK17(szNzAzT0) = sbrdtbr0(slbdtrb0(sK17(szNzAzT0))) ),
inference(resolution,[],[f375,f341]) ).
fof(f593,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ) ),
inference(subsumption_resolution,[],[f579,f268]) ).
fof(f579,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ) ),
inference(resolution,[],[f375,f270]) ).
fof(f375,plain,
! [X0] :
( aElementOf0(sK17(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f219,f220]) ).
fof(f220,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f574,plain,
! [X0] :
( sP1(sK15(X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f367,f355]) ).
fof(f572,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK15(X0) = sbrdtbr0(slbdtrb0(sK15(X0))) ),
inference(resolution,[],[f367,f341]) ).
fof(f367,plain,
! [X0] :
( aElementOf0(sK15(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f562,plain,
( isFinite0(slbdtsldtrb0(xS,xk))
| ~ isFinite0(slbdtsldtrb0(xT,xk)) ),
inference(subsumption_resolution,[],[f558,f287]) ).
fof(f558,plain,
( isFinite0(slbdtsldtrb0(xS,xk))
| ~ isFinite0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f362,f296]) ).
fof(f362,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f349,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f347,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| slbdtrb0(X0) = X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f323,plain,
! [X0] :
( sz00 != sbrdtbr0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f547,plain,
isFinite0(sK7),
inference(subsumption_resolution,[],[f546,f485]) ).
fof(f546,plain,
( isFinite0(sK7)
| ~ aSet0(sK7) ),
inference(subsumption_resolution,[],[f544,f254]) ).
fof(f544,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(sK7)
| ~ aSet0(sK7) ),
inference(superposition,[],[f325,f540]) ).
fof(f291,plain,
! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f540,plain,
xk = sbrdtbr0(sK7),
inference(resolution,[],[f283,f304]) ).
fof(f283,plain,
! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(X8) ),
inference(cnf_transformation,[],[f187]) ).
fof(f517,plain,
! [X0] :
( aElement0(szszuzczcdt0(sbrdtbr0(X0)))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f326,f507]) ).
fof(f446,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f445]) ).
fof(f445,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f422]) ).
fof(f422,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f442,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f396]) ).
fof(f396,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f439,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f411,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f149,f176,f175]) ).
fof(f149,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f528,plain,
xk = sbrdtbr0(slbdtrb0(xk)),
inference(resolution,[],[f341,f254]) ).
fof(f527,plain,
! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f341,f326]) ).
fof(f341,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f518,plain,
! [X0] :
( sP1(sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f326,f355]) ).
fof(f326,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f325,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f290,plain,
! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aSubsetOf0(X5,xT) ),
inference(cnf_transformation,[],[f187]) ).
fof(f512,plain,
aSubsetOf0(sK7,xS),
inference(resolution,[],[f282,f304]) ).
fof(f282,plain,
! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X8,xS) ),
inference(cnf_transformation,[],[f187]) ).
fof(f270,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f181]) ).
fof(f509,plain,
! [X0] :
( aElement0(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f507,f342]) ).
fof(f440,plain,
! [X2,X1,X4] :
( ~ sP3(X4,X1,X2)
| ~ aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f390]) ).
fof(f390,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f508,plain,
aElement0(szszuzczcdt0(sz00)),
inference(resolution,[],[f507,f313]) ).
fof(f510,plain,
aElement0(szszuzczcdt0(xk)),
inference(resolution,[],[f507,f254]) ).
fof(f507,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f506,f315]) ).
fof(f506,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f342,f327]) ).
fof(f343,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f505,plain,
! [X0] :
( sP1(szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f342,f355]) ).
fof(f342,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f340,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f339,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f338,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f331,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f457,plain,
( aElementOf0(xx,xP)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl22_2
<=> aElementOf0(xx,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f497,plain,
aElement0(sK7),
inference(subsumption_resolution,[],[f492,f279]) ).
fof(f492,plain,
( aElement0(sK7)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f327,f304]) ).
fof(f496,plain,
aElement0(xQ),
inference(subsumption_resolution,[],[f489,f279]) ).
fof(f489,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(xS,xk)) ),
inference(resolution,[],[f327,f264]) ).
fof(f452,plain,
( aElement0(xx)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl22_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f498,plain,
aElement0(xx),
inference(subsumption_resolution,[],[f488,f265]) ).
fof(f488,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f327,f253]) ).
fof(f327,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f296,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f187]) ).
fof(f288,plain,
! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aSet0(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f485,plain,
aSet0(sK7),
inference(resolution,[],[f280,f304]) ).
fof(f280,plain,
! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| aSet0(X8) ),
inference(cnf_transformation,[],[f187]) ).
fof(f278,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f181]) ).
fof(f269,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElement0(X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f479,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f429,f348]) ).
fof(f481,plain,
sP0(sz00,slcrc0),
inference(subsumption_resolution,[],[f480,f461]) ).
fof(f480,plain,
( sP0(sz00,slcrc0)
| ~ sP1(sz00) ),
inference(superposition,[],[f429,f314]) ).
fof(f478,plain,
aElement0(sz00),
inference(subsumption_resolution,[],[f477,f436]) ).
fof(f477,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f321,f476]) ).
fof(f429,plain,
! [X0] :
( sP0(X0,slbdtrb0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f346]) ).
fof(f346,plain,
! [X0,X1] :
( sP0(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f476,plain,
sz00 = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f428,f436]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f475,plain,
~ isFinite0(szNzAzT0),
inference(subsumption_resolution,[],[f474,f315]) ).
fof(f474,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f357,f316]) ).
fof(f357,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f337,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f336,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f335,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f472,plain,
aElementOf0(xy,xS),
inference(resolution,[],[f261,f256]) ).
fof(f261,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f248,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK6,xP) ),
inference(cnf_transformation,[],[f179]) ).
fof(f461,plain,
sP1(sz00),
inference(resolution,[],[f355,f313]) ).
fof(f462,plain,
sP1(xk),
inference(resolution,[],[f355,f254]) ).
fof(f355,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f116,f169,f168]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f348,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f322,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f460,plain,
aElement0(xk),
inference(subsumption_resolution,[],[f459,f257]) ).
fof(f459,plain,
( aElement0(xk)
| ~ aSet0(xQ) ),
inference(superposition,[],[f321,f259]) ).
fof(f321,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f426,plain,
~ aElementOf0(xy,sdtmndt0(xQ,xy)),
inference(equality_resolution,[],[f271]) ).
fof(f271,plain,
! [X1] :
( xy != X1
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f425,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f277]) ).
fof(f277,plain,
! [X0] :
( aElementOf0(X0,xP)
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f306,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,axiom,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2411) ).
fof(f305,plain,
slcrc0 != slbdtsldtrb0(xS,xk),
inference(cnf_transformation,[],[f187]) ).
fof(f304,plain,
aElementOf0(sK7,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f187]) ).
fof(f274,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f264,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f84]) ).
fof(f449,plain,
~ isCountable0(slcrc0),
inference(subsumption_resolution,[],[f430,f436]) ).
fof(f314,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f287,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f187]) ).
fof(f279,plain,
aSet0(slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f187]) ).
fof(f268,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f181]) ).
fof(f259,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f435,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f374]) ).
fof(f374,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f221]) ).
fof(f313,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f267,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f262,plain,
aSubsetOf0(xQ,xS),
inference(cnf_transformation,[],[f84]) ).
fof(f256,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
fof(f254,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f253,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(f251,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2323) ).
fof(f436,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f373]) ).
fof(f373,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f221]) ).
fof(f316,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f315,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f312,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f273,plain,
aSet0(xP),
inference(cnf_transformation,[],[f181]) ).
fof(f266,plain,
aSet0(xT),
inference(cnf_transformation,[],[f62]) ).
fof(f265,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f258,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f257,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f255,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f424,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f423,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f420,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f421,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f415,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f412,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f408,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| aSubsetOf0(sK21(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f409,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) = X0
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f410,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f400,plain,
! [X0,X1] :
( aSubsetOf0(sK20(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ( sbrdtbr0(sK20(X0,X1)) = X1
& aSubsetOf0(sK20(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f147,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK20(X0,X1)) = X1
& aSubsetOf0(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f401,plain,
! [X0,X1] :
( sbrdtbr0(sK20(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f399,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f398,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f391,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f392,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElement0(sK19(X0,X1,X2))
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f393,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK19(X0,X1,X2),X1)
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f394,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) != X0
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f395,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f387,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f381,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElement0(sK18(X0,X1,X2))
| aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f382,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1)
| aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f383,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aElementOf0(sK18(X0,X1,X2),X1)
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f447,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f384]) ).
fof(f384,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) != X0
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f371,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK16(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f372,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK16(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f431,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f364]) ).
fof(f364,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f365,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK14(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f366,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK14(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f360,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f430,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f358]) ).
fof(f358,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f352,plain,
! [X0,X1] :
( sP0(X0,X1)
| aElementOf0(sK13(X0,X1),szNzAzT0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f353,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f354,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f428,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f324]) ).
fof(f324,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f307,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f189]) ).
fof(f308,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f309,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f427,plain,
~ aElementOf0(xy,sdtmndt0(xQ,xy)),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X0] :
( xy != X0
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f311,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f297,plain,
! [X1] :
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f298,plain,
! [X3,X1] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f299,plain,
! [X1] :
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f300,plain,
! [X1] :
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f303,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,xS) ),
inference(cnf_transformation,[],[f187]) ).
fof(f272,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f276,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f260,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f84]) ).
fof(f263,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f84]) ).
fof(f252,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
fof(f4229,plain,
( aElementOf0(sK6,xS)
| ~ spl22_88 ),
inference(resolution,[],[f2190,f261]) ).
fof(f2190,plain,
( aElementOf0(sK6,xQ)
| ~ spl22_88 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f2189,plain,
( spl22_88
<=> aElementOf0(sK6,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_88])]) ).
fof(f4226,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_16
| spl22_88 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
fof(f4225,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_16
| spl22_88 ),
inference(subsumption_resolution,[],[f4224,f253]) ).
fof(f4224,plain,
( ~ aElementOf0(xx,xS)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_16
| spl22_88 ),
inference(superposition,[],[f4198,f4204]) ).
fof(f4204,plain,
( xx = sK6
| ~ spl22_3
| spl22_88 ),
inference(subsumption_resolution,[],[f4199,f2191]) ).
fof(f2191,plain,
( ~ aElementOf0(sK6,xQ)
| spl22_88 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f4199,plain,
( xx = sK6
| aElementOf0(sK6,xQ)
| ~ spl22_3 ),
inference(resolution,[],[f466,f897]) ).
fof(f466,plain,
( aElementOf0(sK6,xP)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl22_3
<=> aElementOf0(sK6,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f4212,plain,
( ~ spl22_3
| spl22_113 ),
inference(avatar_contradiction_clause,[],[f4211]) ).
fof(f4211,plain,
( $false
| ~ spl22_3
| spl22_113 ),
inference(subsumption_resolution,[],[f4210,f273]) ).
fof(f4210,plain,
( ~ aSet0(xP)
| ~ spl22_3
| spl22_113 ),
inference(subsumption_resolution,[],[f4203,f2882]) ).
fof(f2882,plain,
( ~ aElement0(sK6)
| spl22_113 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2880,plain,
( spl22_113
<=> aElement0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_113])]) ).
fof(f4203,plain,
( aElement0(sK6)
| ~ aSet0(xP)
| ~ spl22_3 ),
inference(resolution,[],[f466,f327]) ).
fof(f4206,plain,
( ~ spl22_3
| spl22_113 ),
inference(avatar_contradiction_clause,[],[f4205]) ).
fof(f4205,plain,
( $false
| ~ spl22_3
| spl22_113 ),
inference(subsumption_resolution,[],[f4200,f2882]) ).
fof(f4200,plain,
( aElement0(sK6)
| ~ spl22_3 ),
inference(resolution,[],[f466,f274]) ).
fof(f4184,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_4
| ~ spl22_16 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4183,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| spl22_4
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f4182,f470]) ).
fof(f470,plain,
( xk != sbrdtbr0(xP)
| spl22_4 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl22_4
<=> xk = sbrdtbr0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f4065,plain,
( ~ spl22_138
| spl22_139
| ~ spl22_1
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f4056,f1912,f451,f4062,f4058]) ).
fof(f4058,plain,
( spl22_138
<=> isCountable0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_138])]) ).
fof(f4062,plain,
( spl22_139
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_139])]) ).
fof(f1912,plain,
( spl22_67
<=> aSet0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
fof(f4056,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,xx))
| ~ spl22_1
| ~ spl22_67 ),
inference(subsumption_resolution,[],[f1611,f1913]) ).
fof(f1913,plain,
( aSet0(sdtmndt0(xS,xx))
| ~ spl22_67 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f4054,plain,
( ~ spl22_135
| spl22_136
| spl22_137
| ~ spl22_1
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f4021,f1912,f451,f4051,f4047,f4043]) ).
fof(f4043,plain,
( spl22_135
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_135])]) ).
fof(f4047,plain,
( spl22_136
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl22_136])]) ).
fof(f4051,plain,
( spl22_137
<=> aElement0(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_137])]) ).
fof(f4021,plain,
( aElement0(szmzizndt0(xS))
| slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl22_1
| ~ spl22_67 ),
inference(resolution,[],[f4019,f434]) ).
fof(f4019,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0) )
| ~ spl22_1
| ~ spl22_67 ),
inference(resolution,[],[f4003,f377]) ).
fof(f4003,plain,
( sP2(xx,sdtmndt0(xS,xx),xS)
| ~ spl22_1
| ~ spl22_67 ),
inference(subsumption_resolution,[],[f1608,f1913]) ).
fof(f3831,plain,
spl22_134,
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3830,plain,
( $false
| spl22_134 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f3802,f3816,f3820,f3829]) ).
fof(f3829,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),sK7),sK7)
| spl22_134 ),
inference(subsumption_resolution,[],[f3828,f497]) ).
fof(f3828,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),sK7),sK7)
| ~ aElement0(sK7)
| spl22_134 ),
inference(subsumption_resolution,[],[f3814,f287]) ).
fof(f3814,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),sK7),sK7)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(sK7)
| spl22_134 ),
inference(resolution,[],[f3802,f376]) ).
fof(f3820,plain,
( aElementOf0(sK9(sK7),sK7)
| spl22_134 ),
inference(subsumption_resolution,[],[f3819,f485]) ).
fof(f3819,plain,
( aElementOf0(sK9(sK7),sK7)
| ~ aSet0(sK7)
| spl22_134 ),
inference(subsumption_resolution,[],[f3811,f540]) ).
fof(f3811,plain,
( aElementOf0(sK9(sK7),sK7)
| xk != sbrdtbr0(sK7)
| ~ aSet0(sK7)
| spl22_134 ),
inference(resolution,[],[f3802,f292]) ).
fof(f3816,plain,
( ~ aElementOf0(sK9(sK7),xT)
| spl22_134 ),
inference(subsumption_resolution,[],[f3815,f485]) ).
fof(f3815,plain,
( ~ aElementOf0(sK9(sK7),xT)
| ~ aSet0(sK7)
| spl22_134 ),
inference(subsumption_resolution,[],[f3810,f540]) ).
fof(f3810,plain,
( xk != sbrdtbr0(sK7)
| ~ aElementOf0(sK9(sK7),xT)
| ~ aSet0(sK7)
| spl22_134 ),
inference(resolution,[],[f3802,f293]) ).
fof(f3802,plain,
( ~ aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| spl22_134 ),
inference(avatar_component_clause,[],[f3801]) ).
fof(f3801,plain,
( spl22_134
<=> aElementOf0(sK7,slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_134])]) ).
fof(f3827,plain,
spl22_134,
inference(avatar_contradiction_clause,[],[f3826]) ).
fof(f3826,plain,
( $false
| spl22_134 ),
inference(subsumption_resolution,[],[f3813,f304]) ).
fof(f3813,plain,
( ~ aElementOf0(sK7,slbdtsldtrb0(xS,xk))
| spl22_134 ),
inference(resolution,[],[f3802,f295]) ).
fof(f3825,plain,
spl22_134,
inference(avatar_contradiction_clause,[],[f3824]) ).
fof(f3824,plain,
( $false
| spl22_134 ),
inference(subsumption_resolution,[],[f3823,f676]) ).
fof(f3823,plain,
( ~ aSubsetOf0(sK7,xT)
| spl22_134 ),
inference(subsumption_resolution,[],[f3812,f540]) ).
fof(f3812,plain,
( xk != sbrdtbr0(sK7)
| ~ aSubsetOf0(sK7,xT)
| spl22_134 ),
inference(resolution,[],[f3802,f294]) ).
fof(f3822,plain,
spl22_134,
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3821,plain,
( $false
| spl22_134 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f3802,f3816,f3820]) ).
fof(f3818,plain,
spl22_134,
inference(avatar_contradiction_clause,[],[f3817]) ).
fof(f3817,plain,
( $false
| spl22_134 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3705,f3802,f3816]) ).
fof(f3804,plain,
( spl22_133
| spl22_134 ),
inference(avatar_split_clause,[],[f3705,f3801,f3797]) ).
fof(f3797,plain,
( spl22_133
<=> aElementOf0(sK9(sK7),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_133])]) ).
fof(f3788,plain,
spl22_132,
inference(avatar_contradiction_clause,[],[f3787]) ).
fof(f3787,plain,
( $false
| spl22_132 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3705,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3753,f3773,f3777,f3786]) ).
fof(f3786,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ)
| spl22_132 ),
inference(subsumption_resolution,[],[f3785,f496]) ).
fof(f3785,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ)
| ~ aElement0(xQ)
| spl22_132 ),
inference(subsumption_resolution,[],[f3771,f287]) ).
fof(f3771,plain,
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(xQ)
| spl22_132 ),
inference(resolution,[],[f3753,f376]) ).
fof(f3777,plain,
( aElementOf0(sK9(xQ),xQ)
| spl22_132 ),
inference(subsumption_resolution,[],[f3776,f257]) ).
fof(f3776,plain,
( aElementOf0(sK9(xQ),xQ)
| ~ aSet0(xQ)
| spl22_132 ),
inference(subsumption_resolution,[],[f3768,f259]) ).
fof(f3768,plain,
( aElementOf0(sK9(xQ),xQ)
| xk != sbrdtbr0(xQ)
| ~ aSet0(xQ)
| spl22_132 ),
inference(resolution,[],[f3753,f292]) ).
fof(f3773,plain,
( ~ aElementOf0(sK9(xQ),xT)
| spl22_132 ),
inference(subsumption_resolution,[],[f3772,f257]) ).
fof(f3772,plain,
( ~ aElementOf0(sK9(xQ),xT)
| ~ aSet0(xQ)
| spl22_132 ),
inference(subsumption_resolution,[],[f3767,f259]) ).
fof(f3767,plain,
( xk != sbrdtbr0(xQ)
| ~ aElementOf0(sK9(xQ),xT)
| ~ aSet0(xQ)
| spl22_132 ),
inference(resolution,[],[f3753,f293]) ).
fof(f3753,plain,
( ~ aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| spl22_132 ),
inference(avatar_component_clause,[],[f3752]) ).
fof(f3752,plain,
( spl22_132
<=> aElementOf0(xQ,slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_132])]) ).
fof(f3784,plain,
spl22_132,
inference(avatar_contradiction_clause,[],[f3783]) ).
fof(f3783,plain,
( $false
| spl22_132 ),
inference(subsumption_resolution,[],[f3770,f264]) ).
fof(f3770,plain,
( ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| spl22_132 ),
inference(resolution,[],[f3753,f295]) ).
fof(f3782,plain,
spl22_132,
inference(avatar_contradiction_clause,[],[f3781]) ).
fof(f3781,plain,
( $false
| spl22_132 ),
inference(subsumption_resolution,[],[f3780,f675]) ).
fof(f3780,plain,
( ~ aSubsetOf0(xQ,xT)
| spl22_132 ),
inference(subsumption_resolution,[],[f3769,f259]) ).
fof(f3769,plain,
( xk != sbrdtbr0(xQ)
| ~ aSubsetOf0(xQ,xT)
| spl22_132 ),
inference(resolution,[],[f3753,f294]) ).
fof(f3779,plain,
spl22_132,
inference(avatar_contradiction_clause,[],[f3778]) ).
fof(f3778,plain,
( $false
| spl22_132 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3705,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3753,f3773,f3777]) ).
fof(f3775,plain,
spl22_132,
inference(avatar_contradiction_clause,[],[f3774]) ).
fof(f3774,plain,
( $false
| spl22_132 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f285,f3524,f3525,f3526,f3528,f3533,f3534,f3535,f3487,f3609,f3611,f3612,f3599,f3607,f292,f3618,f3620,f3664,f3665,f3666,f3663,f3662,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3699,f3701,f3703,f3705,f3707,f3709,f3590,f3593,f3697,f293,f3756,f3758,f3763,f3764,f3765,f3753,f3773]) ).
fof(f3755,plain,
( spl22_131
| spl22_132 ),
inference(avatar_split_clause,[],[f3697,f3752,f3748]) ).
fof(f3748,plain,
( spl22_131
<=> aElement0(sK9(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_131])]) ).
fof(f3557,plain,
( ~ spl22_59
| spl22_77
| ~ spl22_81 ),
inference(avatar_contradiction_clause,[],[f3556]) ).
fof(f3556,plain,
( $false
| ~ spl22_59
| spl22_77
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3537,f1706]) ).
fof(f1706,plain,
( aSubsetOf0(slcrc0,xQ)
| ~ spl22_59 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1705,plain,
( spl22_59
<=> aSubsetOf0(slcrc0,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_59])]) ).
fof(f3537,plain,
( ~ aSubsetOf0(slcrc0,xQ)
| spl22_77
| ~ spl22_81 ),
inference(superposition,[],[f2000,f3516]) ).
fof(f3516,plain,
( slcrc0 = slbdtrb0(szmzizndt0(szNzAzT0))
| ~ spl22_81 ),
inference(global_subsumption,[],[f250,f249,f252,f263,f260,f276,f272,f303,f302,f301,f300,f299,f298,f297,f293,f292,f285,f311,f427,f309,f308,f307,f428,f330,f354,f353,f352,f430,f360,f366,f365,f431,f372,f371,f384,f447,f383,f382,f381,f387,f395,f394,f393,f392,f391,f398,f399,f401,f400,f410,f409,f408,f412,f415,f421,f420,f423,f424,f255,f257,f258,f265,f266,f273,f312,f315,f316,f436,f251,f253,f254,f256,f262,f267,f313,f435,f259,f268,f279,f287,f314,f449,f264,f274,f304,f305,f306,f425,f426,f321,f460,f322,f348,f355,f462,f461,f248,f261,f472,f335,f336,f337,f357,f475,f404,f476,f429,f478,f481,f479,f269,f278,f280,f485,f288,f296,f327,f498,f496,f497,f331,f338,f339,f340,f342,f505,f343,f507,f510,f508,f440,f509,f270,f282,f512,f290,f325,f326,f518,f341,f527,f528,f411,f439,f442,f446,f517,f283,f540,f291,f547,f323,f347,f349,f362,f562,f367,f572,f574,f375,f593,f595,f604,f605,f603,f601,f611,f608,f597,f599,f637,f607,f377,f576,f592,f388,f437,f443,f651,f652,f654,f535,f656,f555,f666,f573,f295,f671,f668,f675,f676,f317,f679,f318,f319,f320,f344,f722,f723,f725,f727,f730,f732,f733,f736,f735,f748,f596,f350,f368,f786,f389,f405,f787,f434,f788,f790,f791,f792,f798,f814,f815,f816,f817,f804,f805,f806,f438,f840,f441,f864,f865,f842,f866,f594,f606,f818,f275,f904,f902,f897,f928,f281,f949,f954,f956,f952,f979,f981,f526,f983,f984,f987,f988,f986,f994,f995,f996,f997,f982,f1001,f1002,f1003,f1004,f289,f1008,f686,f704,f782,f724,f332,f1082,f345,f1097,f1100,f1101,f1106,f1111,f1113,f1116,f1123,f1092,f1125,f1093,f1112,f361,f406,f1198,f444,f1248,f1250,f1252,f1255,f1259,f1260,f1094,f1261,f1263,f1258,f1272,f1103,f1274,f1275,f1278,f1281,f1277,f1289,f1300,f1290,f1291,f1292,f1293,f1294,f1296,f1299,f1273,f1303,f1314,f1304,f1305,f1306,f1307,f1315,f1308,f1310,f1313,f1295,f286,f1328,f1329,f1330,f1301,f1309,f294,f1364,f1333,f1418,f1434,f1420,f1436,f1433,f1335,f1454,f1456,f1477,f1367,f1479,f1481,f1369,f1502,f1518,f1504,f1520,f328,f1562,f1563,f1529,f1564,f1565,f1566,f1568,f1570,f1537,f1574,f1578,f1579,f1585,f1561,f1571,f1599,f1572,f1575,f1630,f1632,f1567,f1643,f1517,f329,f1655,f1656,f1658,f1661,f1665,f1666,f1667,f1669,f1671,f1690,f1686,f1697,f1702,f1703,f1691,f1701,f1682,f1732,f1734,f333,f1787,f1786,f1789,f1790,f1791,f1792,f1793,f1795,f1796,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1812,f1814,f1816,f1817,f1818,f1819,f1788,f1832,f1731,f334,f1851,f1852,f1853,f1854,f1576,f1870,f1873,f1688,f1877,f1577,f1893,f1896,f1601,f356,f1645,f379,f1951,f403,f1815,f1794,f432,f2015,f2016,f2029,f2056,f2057,f1692,f1694,f2111,f2173,f2174,f2164,f2182,f2183,f1797,f351,f2251,f2252,f1811,f378,f2398,f1813,f2405,f1249,f2415,f2250,f2480,f2510,f2525,f2530,f2531,f2526,f2528,f2527,f2529,f413,f2582,f1875,f2523,f433,f448,f359,f2734,f1121,f376,f2819,f2821,f2822,f2823,f2824,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2850,f2816,f2868,f414,f2820,f2978,f2981,f2984,f2986,f2988,f2995,f2996,f2997,f2998,f3005,f3008,f2990,f3020,f3022,f2992,f3042,f3044,f416,f3062,f2993,f3077,f3079,f2994,f3088,f3090,f2976,f3099,f3101,f3019,f417,f3156,f3041,f3076,f418,f3191,f3192,f3194,f3198,f3087,f3098,f419,f3240,f3241,f2983,f3263,f3264,f3266,f3001,f3275,f3276,f3278,f2977,f3297,f3298,f3300,f3004,f3308,f3309,f3311,f284,f3346,f3347,f3348,f3350,f3392,f3393,f3394,f3391,f3390,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3420,f3422,f3199,f3475,f3483,f3485,f3486,f3487,f2088,f3495,f3500,f3504,f3505,f3502,f3515,f3507]) ).
fof(f3507,plain,
( slcrc0 = slbdtrb0(szmzizndt0(szNzAzT0))
| ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl22_81 ),
inference(resolution,[],[f3502,f434]) ).
fof(f3515,plain,
( ! [X0] :
( slbdtrb0(szmzizndt0(szNzAzT0)) = sdtmndt0(sdtpldt0(slbdtrb0(szmzizndt0(szNzAzT0)),X0),X0)
| ~ aElement0(X0) )
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3506,f3505]) ).
fof(f3506,plain,
( ! [X0] :
( slbdtrb0(szmzizndt0(szNzAzT0)) = sdtmndt0(sdtpldt0(slbdtrb0(szmzizndt0(szNzAzT0)),X0),X0)
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aElement0(X0) )
| ~ spl22_81 ),
inference(resolution,[],[f3502,f376]) ).
fof(f3502,plain,
( ! [X0] : ~ aElementOf0(X0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3501,f436]) ).
fof(f3501,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slcrc0) )
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3497,f435]) ).
fof(f3497,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(szmzizndt0(szNzAzT0)))
| aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_81 ),
inference(resolution,[],[f2088,f332]) ).
fof(f3505,plain,
( aSet0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3499,f436]) ).
fof(f3499,plain,
( aSet0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slcrc0)
| ~ spl22_81 ),
inference(resolution,[],[f2088,f331]) ).
fof(f3504,plain,
( isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3503,f436]) ).
fof(f3503,plain,
( isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slcrc0)
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3498,f312]) ).
fof(f3498,plain,
( isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0)
| ~ spl22_81 ),
inference(resolution,[],[f2088,f362]) ).
fof(f3500,plain,
( slcrc0 = slbdtrb0(szmzizndt0(szNzAzT0))
| ~ aSubsetOf0(slcrc0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_81 ),
inference(subsumption_resolution,[],[f3496,f436]) ).
fof(f3496,plain,
( slcrc0 = slbdtrb0(szmzizndt0(szNzAzT0))
| ~ aSubsetOf0(slcrc0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slcrc0)
| ~ spl22_81 ),
inference(resolution,[],[f2088,f2480]) ).
fof(f3495,plain,
( slcrc0 = slbdtrb0(szmzizndt0(szNzAzT0))
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_81 ),
inference(resolution,[],[f2088,f2523]) ).
fof(f2088,plain,
( aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0)
| ~ spl22_81 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2087,plain,
( spl22_81
<=> aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_81])]) ).
fof(f2000,plain,
( ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),xQ)
| spl22_77 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f1998,plain,
( spl22_77
<=> aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_77])]) ).
fof(f3492,plain,
( spl22_10
| ~ spl22_22
| spl22_81
| ~ spl22_82 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3491,plain,
( $false
| spl22_10
| ~ spl22_22
| spl22_81
| ~ spl22_82 ),
inference(subsumption_resolution,[],[f3490,f836]) ).
fof(f836,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl22_22
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f3490,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_10
| spl22_81
| ~ spl22_82 ),
inference(subsumption_resolution,[],[f3488,f627]) ).
fof(f627,plain,
( slcrc0 != szNzAzT0
| spl22_10 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl22_10
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f3488,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_81
| ~ spl22_82 ),
inference(resolution,[],[f3481,f434]) ).
fof(f3481,plain,
( ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl22_81
| ~ spl22_82 ),
inference(subsumption_resolution,[],[f3471,f2093]) ).
fof(f2093,plain,
( sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ spl22_82 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2091,plain,
( spl22_82
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_82])]) ).
fof(f3471,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl22_81 ),
inference(resolution,[],[f3199,f2089]) ).
fof(f2089,plain,
( ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0)
| spl22_81 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f3232,plain,
spl22_130,
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3231,plain,
( $false
| spl22_130 ),
inference(subsumption_resolution,[],[f3230,f436]) ).
fof(f3230,plain,
( ~ aSet0(slcrc0)
| spl22_130 ),
inference(subsumption_resolution,[],[f3229,f478]) ).
fof(f3229,plain,
( ~ aElement0(sz00)
| ~ aSet0(slcrc0)
| spl22_130 ),
inference(resolution,[],[f3226,f439]) ).
fof(f3226,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| spl22_130 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f3224,plain,
( spl22_130
<=> aSet0(sdtpldt0(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_130])]) ).
fof(f3227,plain,
( ~ spl22_129
| ~ spl22_130 ),
inference(avatar_split_clause,[],[f3098,f3224,f3220]) ).
fof(f3220,plain,
( spl22_129
<=> isCountable0(sdtpldt0(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_129])]) ).
fof(f3218,plain,
spl22_128,
inference(avatar_contradiction_clause,[],[f3217]) ).
fof(f3217,plain,
( $false
| spl22_128 ),
inference(subsumption_resolution,[],[f3216,f436]) ).
fof(f3216,plain,
( ~ aSet0(slcrc0)
| spl22_128 ),
inference(subsumption_resolution,[],[f3215,f497]) ).
fof(f3215,plain,
( ~ aElement0(sK7)
| ~ aSet0(slcrc0)
| spl22_128 ),
inference(resolution,[],[f3212,f439]) ).
fof(f3212,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK7))
| spl22_128 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f3210,plain,
( spl22_128
<=> aSet0(sdtpldt0(slcrc0,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_128])]) ).
fof(f3213,plain,
( ~ spl22_127
| ~ spl22_128 ),
inference(avatar_split_clause,[],[f3087,f3210,f3206]) ).
fof(f3206,plain,
( spl22_127
<=> isCountable0(sdtpldt0(slcrc0,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_127])]) ).
fof(f3190,plain,
spl22_126,
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3189,plain,
( $false
| spl22_126 ),
inference(subsumption_resolution,[],[f3188,f436]) ).
fof(f3188,plain,
( ~ aSet0(slcrc0)
| spl22_126 ),
inference(subsumption_resolution,[],[f3187,f255]) ).
fof(f3187,plain,
( ~ aElement0(xy)
| ~ aSet0(slcrc0)
| spl22_126 ),
inference(resolution,[],[f3184,f439]) ).
fof(f3184,plain,
( ~ aSet0(sdtpldt0(slcrc0,xy))
| spl22_126 ),
inference(avatar_component_clause,[],[f3182]) ).
fof(f3182,plain,
( spl22_126
<=> aSet0(sdtpldt0(slcrc0,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_126])]) ).
fof(f3185,plain,
( ~ spl22_125
| ~ spl22_126 ),
inference(avatar_split_clause,[],[f3076,f3182,f3178]) ).
fof(f3178,plain,
( spl22_125
<=> isCountable0(sdtpldt0(slcrc0,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_125])]) ).
fof(f3176,plain,
spl22_124,
inference(avatar_contradiction_clause,[],[f3175]) ).
fof(f3175,plain,
( $false
| spl22_124 ),
inference(subsumption_resolution,[],[f3174,f436]) ).
fof(f3174,plain,
( ~ aSet0(slcrc0)
| spl22_124 ),
inference(subsumption_resolution,[],[f3173,f496]) ).
fof(f3173,plain,
( ~ aElement0(xQ)
| ~ aSet0(slcrc0)
| spl22_124 ),
inference(resolution,[],[f3170,f439]) ).
fof(f3170,plain,
( ~ aSet0(sdtpldt0(slcrc0,xQ))
| spl22_124 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f3168,plain,
( spl22_124
<=> aSet0(sdtpldt0(slcrc0,xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_124])]) ).
fof(f3171,plain,
( ~ spl22_123
| ~ spl22_124 ),
inference(avatar_split_clause,[],[f3041,f3168,f3164]) ).
fof(f3164,plain,
( spl22_123
<=> isCountable0(sdtpldt0(slcrc0,xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_123])]) ).
fof(f3129,plain,
( ~ spl22_1
| spl22_122 ),
inference(avatar_contradiction_clause,[],[f3128]) ).
fof(f3128,plain,
( $false
| ~ spl22_1
| spl22_122 ),
inference(subsumption_resolution,[],[f3127,f436]) ).
fof(f3127,plain,
( ~ aSet0(slcrc0)
| ~ spl22_1
| spl22_122 ),
inference(subsumption_resolution,[],[f3126,f452]) ).
fof(f3126,plain,
( ~ aElement0(xx)
| ~ aSet0(slcrc0)
| spl22_122 ),
inference(resolution,[],[f3123,f439]) ).
fof(f3123,plain,
( ~ aSet0(sdtpldt0(slcrc0,xx))
| spl22_122 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f3121,plain,
( spl22_122
<=> aSet0(sdtpldt0(slcrc0,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_122])]) ).
fof(f3124,plain,
( ~ spl22_121
| ~ spl22_122
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f3030,f451,f3121,f3117]) ).
fof(f3117,plain,
( spl22_121
<=> isCountable0(sdtpldt0(slcrc0,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_121])]) ).
fof(f3115,plain,
spl22_120,
inference(avatar_contradiction_clause,[],[f3114]) ).
fof(f3114,plain,
( $false
| spl22_120 ),
inference(subsumption_resolution,[],[f3113,f436]) ).
fof(f3113,plain,
( ~ aSet0(slcrc0)
| spl22_120 ),
inference(subsumption_resolution,[],[f3112,f460]) ).
fof(f3112,plain,
( ~ aElement0(xk)
| ~ aSet0(slcrc0)
| spl22_120 ),
inference(resolution,[],[f3109,f439]) ).
fof(f3109,plain,
( ~ aSet0(sdtpldt0(slcrc0,xk))
| spl22_120 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f3107,plain,
( spl22_120
<=> aSet0(sdtpldt0(slcrc0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_120])]) ).
fof(f3110,plain,
( ~ spl22_119
| ~ spl22_120 ),
inference(avatar_split_clause,[],[f3019,f3107,f3103]) ).
fof(f3103,plain,
( spl22_119
<=> isCountable0(sdtpldt0(slcrc0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_119])]) ).
fof(f2975,plain,
spl22_118,
inference(avatar_contradiction_clause,[],[f2974]) ).
fof(f2974,plain,
( $false
| spl22_118 ),
inference(subsumption_resolution,[],[f2973,f273]) ).
fof(f2973,plain,
( ~ aSet0(xP)
| spl22_118 ),
inference(subsumption_resolution,[],[f2972,f255]) ).
fof(f2972,plain,
( ~ aElement0(xy)
| ~ aSet0(xP)
| spl22_118 ),
inference(resolution,[],[f2969,f439]) ).
fof(f2969,plain,
( ~ aSet0(sdtpldt0(xP,xy))
| spl22_118 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f2967,plain,
( spl22_118
<=> aSet0(sdtpldt0(xP,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_118])]) ).
fof(f2970,plain,
( ~ spl22_117
| ~ spl22_118
| ~ spl22_16
| spl22_31 ),
inference(avatar_split_clause,[],[f2920,f906,f713,f2967,f2963]) ).
fof(f2963,plain,
( spl22_117
<=> isCountable0(sdtpldt0(xP,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_117])]) ).
fof(f906,plain,
( spl22_31
<=> aElementOf0(xy,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
fof(f2920,plain,
( ~ aSet0(sdtpldt0(xP,xy))
| ~ isCountable0(sdtpldt0(xP,xy))
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f2919,f255]) ).
fof(f2919,plain,
( ~ aSet0(sdtpldt0(xP,xy))
| ~ aElement0(xy)
| ~ isCountable0(sdtpldt0(xP,xy))
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f2913,f715]) ).
fof(f2913,plain,
( ~ isFinite0(xP)
| ~ aSet0(sdtpldt0(xP,xy))
| ~ aElement0(xy)
| ~ isCountable0(sdtpldt0(xP,xy))
| spl22_31 ),
inference(superposition,[],[f704,f2863]) ).
fof(f2863,plain,
( xP = sdtmndt0(sdtpldt0(xP,xy),xy)
| spl22_31 ),
inference(subsumption_resolution,[],[f2862,f255]) ).
fof(f2862,plain,
( xP = sdtmndt0(sdtpldt0(xP,xy),xy)
| ~ aElement0(xy)
| spl22_31 ),
inference(subsumption_resolution,[],[f2805,f273]) ).
fof(f2805,plain,
( xP = sdtmndt0(sdtpldt0(xP,xy),xy)
| ~ aSet0(xP)
| ~ aElement0(xy)
| spl22_31 ),
inference(resolution,[],[f376,f908]) ).
fof(f908,plain,
( ~ aElementOf0(xy,xP)
| spl22_31 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f2937,plain,
( ~ spl22_1
| spl22_116 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| ~ spl22_1
| spl22_116 ),
inference(subsumption_resolution,[],[f2935,f257]) ).
fof(f2935,plain,
( ~ aSet0(xQ)
| ~ spl22_1
| spl22_116 ),
inference(subsumption_resolution,[],[f2934,f452]) ).
fof(f2934,plain,
( ~ aElement0(xx)
| ~ aSet0(xQ)
| spl22_116 ),
inference(resolution,[],[f2931,f439]) ).
fof(f2931,plain,
( ~ aSet0(sdtpldt0(xQ,xx))
| spl22_116 ),
inference(avatar_component_clause,[],[f2929]) ).
fof(f2929,plain,
( spl22_116
<=> aSet0(sdtpldt0(xQ,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_116])]) ).
fof(f2932,plain,
( ~ spl22_115
| ~ spl22_116
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f2895,f451,f2929,f2925]) ).
fof(f2925,plain,
( spl22_115
<=> isCountable0(sdtpldt0(xQ,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_115])]) ).
fof(f2887,plain,
( ~ spl22_113
| spl22_114
| spl22_3 ),
inference(avatar_split_clause,[],[f2864,f464,f2884,f2880]) ).
fof(f2884,plain,
( spl22_114
<=> xP = sdtmndt0(sdtpldt0(xP,sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_114])]) ).
fof(f2864,plain,
( xP = sdtmndt0(sdtpldt0(xP,sK6),sK6)
| ~ aElement0(sK6)
| spl22_3 ),
inference(subsumption_resolution,[],[f2806,f273]) ).
fof(f2806,plain,
( xP = sdtmndt0(sdtpldt0(xP,sK6),sK6)
| ~ aSet0(xP)
| ~ aElement0(sK6)
| spl22_3 ),
inference(resolution,[],[f376,f465]) ).
fof(f465,plain,
( ~ aElementOf0(sK6,xP)
| spl22_3 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f2743,plain,
( spl22_111
| ~ spl22_112
| ~ spl22_51 ),
inference(avatar_split_clause,[],[f2707,f1348,f2740,f2736]) ).
fof(f2736,plain,
( spl22_111
<=> aElementOf0(sK12(szszuzczcdt0(sz00)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_111])]) ).
fof(f2740,plain,
( spl22_112
<=> sP0(szszuzczcdt0(sz00),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_112])]) ).
fof(f1348,plain,
( spl22_51
<=> aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
fof(f2707,plain,
( ~ sP0(szszuzczcdt0(sz00),xQ)
| aElementOf0(sK12(szszuzczcdt0(sz00)),xT)
| ~ spl22_51 ),
inference(resolution,[],[f2425,f1092]) ).
fof(f2425,plain,
( ! [X0] :
( aElementOf0(sK12(szszuzczcdt0(sz00)),X0)
| ~ sP0(szszuzczcdt0(sz00),X0) )
| ~ spl22_51 ),
inference(subsumption_resolution,[],[f2418,f1349]) ).
fof(f1349,plain,
( aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0)
| ~ spl22_51 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f2418,plain,
! [X0] :
( ~ sP0(szszuzczcdt0(sz00),X0)
| ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0)
| aElementOf0(sK12(szszuzczcdt0(sz00)),X0) ),
inference(superposition,[],[f2250,f1273]) ).
fof(f2731,plain,
( spl22_109
| ~ spl22_110
| ~ spl22_47 ),
inference(avatar_split_clause,[],[f2633,f1317,f2728,f2724]) ).
fof(f2724,plain,
( spl22_109
<=> aElementOf0(sK12(szszuzczcdt0(xk)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_109])]) ).
fof(f2728,plain,
( spl22_110
<=> sP0(szszuzczcdt0(xk),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_110])]) ).
fof(f1317,plain,
( spl22_47
<=> aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).
fof(f2633,plain,
( ~ sP0(szszuzczcdt0(xk),xQ)
| aElementOf0(sK12(szszuzczcdt0(xk)),xT)
| ~ spl22_47 ),
inference(resolution,[],[f2426,f1092]) ).
fof(f2426,plain,
( ! [X0] :
( aElementOf0(sK12(szszuzczcdt0(xk)),X0)
| ~ sP0(szszuzczcdt0(xk),X0) )
| ~ spl22_47 ),
inference(subsumption_resolution,[],[f2422,f1318]) ).
fof(f1318,plain,
( aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0)
| ~ spl22_47 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f2422,plain,
! [X0] :
( ~ sP0(szszuzczcdt0(xk),X0)
| ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0)
| aElementOf0(sK12(szszuzczcdt0(xk)),X0) ),
inference(superposition,[],[f2250,f1277]) ).
fof(f2678,plain,
( spl22_107
| ~ spl22_108
| spl22_105 ),
inference(avatar_split_clause,[],[f2669,f2650,f2675,f2671]) ).
fof(f2671,plain,
( spl22_107
<=> xy = sK12(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_107])]) ).
fof(f2675,plain,
( spl22_108
<=> aElementOf0(sK12(xk),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_108])]) ).
fof(f2650,plain,
( spl22_105
<=> aElementOf0(sK12(xk),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_105])]) ).
fof(f2669,plain,
( ~ aElementOf0(sK12(xk),xQ)
| xy = sK12(xk)
| spl22_105 ),
inference(resolution,[],[f2651,f2164]) ).
fof(f2651,plain,
( ~ aElementOf0(sK12(xk),xP)
| spl22_105 ),
inference(avatar_component_clause,[],[f2650]) ).
fof(f2667,plain,
( spl22_10
| ~ spl22_22
| spl22_78 ),
inference(avatar_contradiction_clause,[],[f2666]) ).
fof(f2666,plain,
( $false
| spl22_10
| ~ spl22_22
| spl22_78 ),
inference(subsumption_resolution,[],[f2665,f836]) ).
fof(f2665,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_10
| spl22_78 ),
inference(subsumption_resolution,[],[f2664,f627]) ).
fof(f2664,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_78 ),
inference(subsumption_resolution,[],[f2659,f254]) ).
fof(f2659,plain,
( ~ aElementOf0(xk,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_78 ),
inference(resolution,[],[f433,f2003]) ).
fof(f2003,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),xk)
| spl22_78 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f2002,plain,
( spl22_78
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_78])]) ).
fof(f2663,plain,
( spl22_10
| ~ spl22_22
| spl22_82 ),
inference(avatar_contradiction_clause,[],[f2662]) ).
fof(f2662,plain,
( $false
| spl22_10
| ~ spl22_22
| spl22_82 ),
inference(subsumption_resolution,[],[f2661,f836]) ).
fof(f2661,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_10
| spl22_82 ),
inference(subsumption_resolution,[],[f2660,f627]) ).
fof(f2660,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_82 ),
inference(subsumption_resolution,[],[f2658,f313]) ).
fof(f2658,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_82 ),
inference(resolution,[],[f433,f2092]) ).
fof(f2092,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| spl22_82 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2657,plain,
( spl22_105
| ~ spl22_106
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f2430,f1152,f2654,f2650]) ).
fof(f2654,plain,
( spl22_106
<=> sP0(xk,sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_106])]) ).
fof(f1152,plain,
( spl22_41
<=> aElementOf0(sK12(xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f2430,plain,
( ~ sP0(xk,sdtmndt0(xQ,xy))
| aElementOf0(sK12(xk),xP)
| ~ spl22_41 ),
inference(resolution,[],[f2424,f652]) ).
fof(f2424,plain,
( ! [X0] :
( aElementOf0(sK12(xk),X0)
| ~ sP0(xk,X0) )
| ~ spl22_41 ),
inference(subsumption_resolution,[],[f2417,f1153]) ).
fof(f1153,plain,
( aElementOf0(sK12(xk),szNzAzT0)
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f2417,plain,
! [X0] :
( ~ sP0(xk,X0)
| ~ aElementOf0(sK12(xk),szNzAzT0)
| aElementOf0(sK12(xk),X0) ),
inference(superposition,[],[f2250,f1106]) ).
fof(f2589,plain,
( spl22_42
| spl22_84 ),
inference(avatar_contradiction_clause,[],[f2588]) ).
fof(f2588,plain,
( $false
| spl22_42
| spl22_84 ),
inference(subsumption_resolution,[],[f2587,f254]) ).
fof(f2587,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl22_42
| spl22_84 ),
inference(subsumption_resolution,[],[f2586,f313]) ).
fof(f2586,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| spl22_42
| spl22_84 ),
inference(subsumption_resolution,[],[f2571,f1158]) ).
fof(f1158,plain,
( ~ sdtlseqdt0(xk,sz00)
| spl22_42 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1156,plain,
( spl22_42
<=> sdtlseqdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
fof(f2571,plain,
( sdtlseqdt0(xk,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| spl22_84 ),
inference(resolution,[],[f413,f2148]) ).
fof(f2148,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sz00),xk)
| spl22_84 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2147,plain,
( spl22_84
<=> sdtlseqdt0(szszuzczcdt0(sz00),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_84])]) ).
fof(f2567,plain,
( ~ spl22_103
| spl22_104 ),
inference(avatar_split_clause,[],[f2529,f2564,f2560]) ).
fof(f2560,plain,
( spl22_103
<=> aSubsetOf0(xT,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_103])]) ).
fof(f2564,plain,
( spl22_104
<=> xT = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_104])]) ).
fof(f2558,plain,
( ~ spl22_101
| spl22_102 ),
inference(avatar_split_clause,[],[f2527,f2555,f2551]) ).
fof(f2551,plain,
( spl22_101
<=> aSubsetOf0(xT,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_101])]) ).
fof(f2555,plain,
( spl22_102
<=> xT = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl22_102])]) ).
fof(f2549,plain,
( ~ spl22_99
| spl22_100 ),
inference(avatar_split_clause,[],[f2528,f2546,f2542]) ).
fof(f2542,plain,
( spl22_99
<=> aSubsetOf0(xS,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_99])]) ).
fof(f2546,plain,
( spl22_100
<=> xS = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_100])]) ).
fof(f2540,plain,
( ~ spl22_97
| spl22_98 ),
inference(avatar_split_clause,[],[f2526,f2537,f2533]) ).
fof(f2533,plain,
( spl22_97
<=> aSubsetOf0(xS,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_97])]) ).
fof(f2537,plain,
( spl22_98
<=> xS = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl22_98])]) ).
fof(f2507,plain,
( spl22_95
| ~ spl22_96
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f2448,f1152,f2504,f2500]) ).
fof(f2500,plain,
( spl22_95
<=> aSet0(sK12(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_95])]) ).
fof(f2504,plain,
( spl22_96
<=> sP0(xk,slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_96])]) ).
fof(f2448,plain,
( ~ sP0(xk,slbdtsldtrb0(xS,xk))
| aSet0(sK12(xk))
| ~ spl22_41 ),
inference(resolution,[],[f2424,f280]) ).
fof(f2478,plain,
( spl22_93
| ~ spl22_94
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f2455,f1152,f2475,f2471]) ).
fof(f2471,plain,
( spl22_93
<=> aElementOf0(sK12(xk),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_93])]) ).
fof(f2475,plain,
( spl22_94
<=> sP0(xk,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_94])]) ).
fof(f2455,plain,
( ~ sP0(xk,xQ)
| aElementOf0(sK12(xk),xS)
| ~ spl22_41 ),
inference(resolution,[],[f2424,f261]) ).
fof(f2414,plain,
( spl22_91
| ~ spl22_92
| ~ spl22_15
| spl22_26 ),
inference(avatar_split_clause,[],[f2055,f874,f709,f2411,f2407]) ).
fof(f2407,plain,
( spl22_91
<=> aElement0(szmzazxdt0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_91])]) ).
fof(f2411,plain,
( spl22_92
<=> aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_92])]) ).
fof(f709,plain,
( spl22_15
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f874,plain,
( spl22_26
<=> slcrc0 = sdtmndt0(xQ,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f2055,plain,
( ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElement0(szmzazxdt0(sdtmndt0(xQ,xy)))
| ~ spl22_15
| spl22_26 ),
inference(subsumption_resolution,[],[f2054,f710]) ).
fof(f710,plain,
( isFinite0(sdtmndt0(xQ,xy))
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f2054,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElement0(szmzazxdt0(sdtmndt0(xQ,xy)))
| spl22_26 ),
inference(subsumption_resolution,[],[f2020,f875]) ).
fof(f875,plain,
( slcrc0 != sdtmndt0(xQ,xy)
| spl22_26 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f2020,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElement0(szmzazxdt0(sdtmndt0(xQ,xy))) ),
inference(resolution,[],[f432,f269]) ).
fof(f2241,plain,
( ~ spl22_89
| spl22_90
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f1738,f1152,f2238,f2234]) ).
fof(f2234,plain,
( spl22_89
<=> aSubsetOf0(slbdtrb0(sK12(xk)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_89])]) ).
fof(f2238,plain,
( spl22_90
<=> sdtlseqdt0(sK12(xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_90])]) ).
fof(f1738,plain,
( sdtlseqdt0(sK12(xk),sz00)
| ~ aSubsetOf0(slbdtrb0(sK12(xk)),slcrc0)
| ~ spl22_41 ),
inference(superposition,[],[f1682,f1170]) ).
fof(f1170,plain,
( sK12(xk) = sbrdtbr0(slbdtrb0(sK12(xk)))
| ~ spl22_41 ),
inference(resolution,[],[f1153,f341]) ).
fof(f2192,plain,
( spl22_87
| ~ spl22_88
| spl22_3 ),
inference(avatar_split_clause,[],[f2180,f464,f2189,f2185]) ).
fof(f2185,plain,
( spl22_87
<=> xy = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_87])]) ).
fof(f2180,plain,
( ~ aElementOf0(sK6,xQ)
| xy = sK6
| spl22_3 ),
inference(resolution,[],[f2164,f465]) ).
fof(f2161,plain,
( ~ spl22_85
| spl22_86 ),
inference(avatar_split_clause,[],[f1694,f2158,f2154]) ).
fof(f2154,plain,
( spl22_85
<=> aSubsetOf0(slbdtrb0(szszuzczcdt0(xk)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_85])]) ).
fof(f2158,plain,
( spl22_86
<=> sdtlseqdt0(szszuzczcdt0(xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_86])]) ).
fof(f2150,plain,
( ~ spl22_83
| spl22_84 ),
inference(avatar_split_clause,[],[f1692,f2147,f2143]) ).
fof(f2143,plain,
( spl22_83
<=> aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_83])]) ).
fof(f2094,plain,
( ~ spl22_81
| spl22_82
| spl22_10
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f1736,f835,f626,f2091,f2087]) ).
fof(f1736,plain,
( sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0)
| spl22_10
| ~ spl22_22 ),
inference(superposition,[],[f1682,f1063]) ).
fof(f1063,plain,
( szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| spl22_10
| ~ spl22_22 ),
inference(subsumption_resolution,[],[f811,f836]) ).
fof(f811,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| spl22_10 ),
inference(subsumption_resolution,[],[f795,f627]) ).
fof(f795,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
inference(resolution,[],[f434,f341]) ).
fof(f2014,plain,
( ~ spl22_79
| spl22_80
| spl22_10 ),
inference(avatar_split_clause,[],[f1700,f626,f2011,f2007]) ).
fof(f2007,plain,
( spl22_79
<=> aSubsetOf0(slbdtrb0(sK17(szNzAzT0)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_79])]) ).
fof(f2011,plain,
( spl22_80
<=> sdtlseqdt0(sK17(szNzAzT0),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_80])]) ).
fof(f1700,plain,
( sdtlseqdt0(sK17(szNzAzT0),xk)
| ~ aSubsetOf0(slbdtrb0(sK17(szNzAzT0)),xQ)
| spl22_10 ),
inference(superposition,[],[f1686,f1031]) ).
fof(f1031,plain,
( sK17(szNzAzT0) = sbrdtbr0(slbdtrb0(sK17(szNzAzT0)))
| spl22_10 ),
inference(subsumption_resolution,[],[f595,f627]) ).
fof(f2005,plain,
( ~ spl22_77
| spl22_78
| spl22_10
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f1696,f835,f626,f2002,f1998]) ).
fof(f1696,plain,
( sdtlseqdt0(szmzizndt0(szNzAzT0),xk)
| ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),xQ)
| spl22_10
| ~ spl22_22 ),
inference(superposition,[],[f1686,f1063]) ).
fof(f1983,plain,
spl22_75,
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1982,plain,
( $false
| spl22_75 ),
inference(subsumption_resolution,[],[f1981,f266]) ).
fof(f1981,plain,
( ~ aSet0(xT)
| spl22_75 ),
inference(subsumption_resolution,[],[f1980,f255]) ).
fof(f1980,plain,
( ~ aElement0(xy)
| ~ aSet0(xT)
| spl22_75 ),
inference(resolution,[],[f1974,f442]) ).
fof(f1974,plain,
( ~ aSet0(sdtmndt0(xT,xy))
| spl22_75 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f1972,plain,
( spl22_75
<=> aSet0(sdtmndt0(xT,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_75])]) ).
fof(f1979,plain,
( ~ spl22_75
| ~ spl22_76
| spl22_5 ),
inference(avatar_split_clause,[],[f1895,f564,f1976,f1972]) ).
fof(f1976,plain,
( spl22_76
<=> isFinite0(sdtmndt0(xT,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_76])]) ).
fof(f564,plain,
( spl22_5
<=> isFinite0(slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f1895,plain,
( ~ isFinite0(sdtmndt0(xT,xy))
| ~ aSet0(sdtmndt0(xT,xy))
| spl22_5 ),
inference(subsumption_resolution,[],[f1894,f255]) ).
fof(f1894,plain,
( ~ isFinite0(sdtmndt0(xT,xy))
| ~ aSet0(sdtmndt0(xT,xy))
| ~ aElement0(xy)
| spl22_5 ),
inference(subsumption_resolution,[],[f1890,f1163]) ).
fof(f1163,plain,
( ~ isFinite0(xT)
| spl22_5 ),
inference(subsumption_resolution,[],[f1162,f266]) ).
fof(f1162,plain,
( ~ isFinite0(xT)
| ~ aSet0(xT)
| spl22_5 ),
inference(subsumption_resolution,[],[f1160,f254]) ).
fof(f1160,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ isFinite0(xT)
| ~ aSet0(xT)
| spl22_5 ),
inference(resolution,[],[f361,f566]) ).
fof(f566,plain,
( ~ isFinite0(slbdtsldtrb0(xT,xk))
| spl22_5 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1890,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,xy))
| ~ aSet0(sdtmndt0(xT,xy))
| ~ aElement0(xy) ),
inference(superposition,[],[f319,f1577]) ).
fof(f1969,plain,
spl22_73,
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| spl22_73 ),
inference(subsumption_resolution,[],[f1967,f265]) ).
fof(f1967,plain,
( ~ aSet0(xS)
| spl22_73 ),
inference(subsumption_resolution,[],[f1966,f255]) ).
fof(f1966,plain,
( ~ aElement0(xy)
| ~ aSet0(xS)
| spl22_73 ),
inference(resolution,[],[f1960,f442]) ).
fof(f1960,plain,
( ~ aSet0(sdtmndt0(xS,xy))
| spl22_73 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1958,plain,
( spl22_73
<=> aSet0(sdtmndt0(xS,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_73])]) ).
fof(f1965,plain,
( ~ spl22_73
| ~ spl22_74
| spl22_6 ),
inference(avatar_split_clause,[],[f1872,f568,f1962,f1958]) ).
fof(f1962,plain,
( spl22_74
<=> isFinite0(sdtmndt0(xS,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_74])]) ).
fof(f568,plain,
( spl22_6
<=> isFinite0(slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f1872,plain,
( ~ isFinite0(sdtmndt0(xS,xy))
| ~ aSet0(sdtmndt0(xS,xy))
| spl22_6 ),
inference(subsumption_resolution,[],[f1871,f255]) ).
fof(f1871,plain,
( ~ isFinite0(sdtmndt0(xS,xy))
| ~ aSet0(sdtmndt0(xS,xy))
| ~ aElement0(xy)
| spl22_6 ),
inference(subsumption_resolution,[],[f1867,f1165]) ).
fof(f1165,plain,
( ~ isFinite0(xS)
| spl22_6 ),
inference(subsumption_resolution,[],[f1164,f265]) ).
fof(f1164,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| spl22_6 ),
inference(subsumption_resolution,[],[f1161,f254]) ).
fof(f1161,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ isFinite0(xS)
| ~ aSet0(xS)
| spl22_6 ),
inference(resolution,[],[f361,f569]) ).
fof(f569,plain,
( ~ isFinite0(slbdtsldtrb0(xS,xk))
| spl22_6 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f1867,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,xy))
| ~ aSet0(sdtmndt0(xS,xy))
| ~ aElement0(xy) ),
inference(superposition,[],[f319,f1576]) ).
fof(f1955,plain,
spl22_71,
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1954,plain,
( $false
| spl22_71 ),
inference(subsumption_resolution,[],[f1953,f315]) ).
fof(f1953,plain,
( ~ aSet0(szNzAzT0)
| spl22_71 ),
inference(subsumption_resolution,[],[f1952,f478]) ).
fof(f1952,plain,
( ~ aElement0(sz00)
| ~ aSet0(szNzAzT0)
| spl22_71 ),
inference(resolution,[],[f1942,f442]) ).
fof(f1942,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| spl22_71 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1940,plain,
( spl22_71
<=> aSet0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_71])]) ).
fof(f1947,plain,
( ~ spl22_71
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f1645,f1944,f1940]) ).
fof(f1944,plain,
( spl22_72
<=> isFinite0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_72])]) ).
fof(f1938,plain,
( ~ spl22_1
| spl22_70 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1937,plain,
( $false
| ~ spl22_1
| spl22_70 ),
inference(subsumption_resolution,[],[f1936,f273]) ).
fof(f1936,plain,
( ~ aSet0(xP)
| ~ spl22_1
| spl22_70 ),
inference(subsumption_resolution,[],[f1935,f452]) ).
fof(f1935,plain,
( ~ aElement0(xx)
| ~ aSet0(xP)
| spl22_70 ),
inference(resolution,[],[f1932,f442]) ).
fof(f1932,plain,
( ~ aSet0(sdtmndt0(xP,xx))
| spl22_70 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1930,plain,
( spl22_70
<=> aSet0(sdtmndt0(xP,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_70])]) ).
fof(f1933,plain,
( ~ spl22_69
| ~ spl22_70
| ~ spl22_1
| ~ spl22_2
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f1619,f713,f455,f451,f1930,f1926]) ).
fof(f1926,plain,
( spl22_69
<=> isCountable0(sdtmndt0(xP,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_69])]) ).
fof(f1923,plain,
( ~ spl22_1
| spl22_67 ),
inference(avatar_contradiction_clause,[],[f1922]) ).
fof(f1922,plain,
( $false
| ~ spl22_1
| spl22_67 ),
inference(subsumption_resolution,[],[f1921,f265]) ).
fof(f1921,plain,
( ~ aSet0(xS)
| ~ spl22_1
| spl22_67 ),
inference(subsumption_resolution,[],[f1920,f452]) ).
fof(f1920,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| spl22_67 ),
inference(resolution,[],[f1914,f442]) ).
fof(f1914,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| spl22_67 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1919,plain,
( ~ spl22_67
| ~ spl22_68
| ~ spl22_1
| spl22_6 ),
inference(avatar_split_clause,[],[f1610,f568,f451,f1916,f1912]) ).
fof(f1916,plain,
( spl22_68
<=> isFinite0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_68])]) ).
fof(f1610,plain,
( ~ isFinite0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl22_1
| spl22_6 ),
inference(subsumption_resolution,[],[f1609,f452]) ).
fof(f1609,plain,
( ~ isFinite0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx)
| spl22_6 ),
inference(subsumption_resolution,[],[f1605,f1165]) ).
fof(f1605,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx) ),
inference(superposition,[],[f319,f1572]) ).
fof(f1909,plain,
spl22_65,
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1908,plain,
( $false
| spl22_65 ),
inference(subsumption_resolution,[],[f1907,f315]) ).
fof(f1907,plain,
( ~ aSet0(szNzAzT0)
| spl22_65 ),
inference(subsumption_resolution,[],[f1906,f460]) ).
fof(f1906,plain,
( ~ aElement0(xk)
| ~ aSet0(szNzAzT0)
| spl22_65 ),
inference(resolution,[],[f1900,f442]) ).
fof(f1900,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,xk))
| spl22_65 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1898,plain,
( spl22_65
<=> aSet0(sdtmndt0(szNzAzT0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_65])]) ).
fof(f1905,plain,
( ~ spl22_65
| ~ spl22_66 ),
inference(avatar_split_clause,[],[f1601,f1902,f1898]) ).
fof(f1902,plain,
( spl22_66
<=> isFinite0(sdtmndt0(szNzAzT0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_66])]) ).
fof(f1860,plain,
spl22_63,
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| spl22_63 ),
inference(subsumption_resolution,[],[f1856,f436]) ).
fof(f1856,plain,
( ~ aSet0(slcrc0)
| spl22_63 ),
inference(resolution,[],[f1839,f322]) ).
fof(f1839,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| spl22_63 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f1837,plain,
( spl22_63
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_63])]) ).
fof(f1858,plain,
spl22_63,
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1857,plain,
( $false
| spl22_63 ),
inference(subsumption_resolution,[],[f1855,f436]) ).
fof(f1855,plain,
( ~ aSet0(slcrc0)
| spl22_63 ),
inference(resolution,[],[f1839,f1788]) ).
fof(f1844,plain,
( ~ spl22_63
| spl22_64 ),
inference(avatar_split_clause,[],[f1731,f1841,f1837]) ).
fof(f1841,plain,
( spl22_64
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_64])]) ).
fof(f1830,plain,
spl22_59,
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| spl22_59 ),
inference(subsumption_resolution,[],[f1821,f257]) ).
fof(f1821,plain,
( ~ aSet0(xQ)
| spl22_59 ),
inference(resolution,[],[f1788,f1707]) ).
fof(f1707,plain,
( ~ aSubsetOf0(slcrc0,xQ)
| spl22_59 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1727,plain,
spl22_61,
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| spl22_61 ),
inference(subsumption_resolution,[],[f1725,f257]) ).
fof(f1725,plain,
( ~ aSet0(xQ)
| spl22_61 ),
inference(resolution,[],[f1719,f322]) ).
fof(f1719,plain,
( ~ aSubsetOf0(xQ,xQ)
| spl22_61 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1717,plain,
( spl22_61
<=> aSubsetOf0(xQ,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).
fof(f1724,plain,
( ~ spl22_61
| spl22_62 ),
inference(avatar_split_clause,[],[f1701,f1721,f1717]) ).
fof(f1721,plain,
( spl22_62
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_62])]) ).
fof(f1715,plain,
spl22_60,
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1714,plain,
( $false
| spl22_60 ),
inference(subsumption_resolution,[],[f1713,f254]) ).
fof(f1713,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl22_60 ),
inference(resolution,[],[f1710,f337]) ).
fof(f1710,plain,
( ~ sdtlseqdt0(sz00,xk)
| spl22_60 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1709,plain,
( spl22_60
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).
fof(f1712,plain,
( ~ spl22_59
| spl22_60 ),
inference(avatar_split_clause,[],[f1691,f1709,f1705]) ).
fof(f1654,plain,
( spl22_57
| ~ spl22_58 ),
inference(avatar_split_clause,[],[f1517,f1651,f1647]) ).
fof(f1647,plain,
( spl22_57
<=> aElement0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_57])]) ).
fof(f1651,plain,
( spl22_58
<=> aSubsetOf0(slbdtrb0(xk),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_58])]) ).
fof(f1452,plain,
spl22_55,
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| spl22_55 ),
inference(subsumption_resolution,[],[f1450,f462]) ).
fof(f1450,plain,
( ~ sP1(xk)
| spl22_55 ),
inference(resolution,[],[f1443,f479]) ).
fof(f1443,plain,
( ~ aSet0(slbdtrb0(xk))
| spl22_55 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1442,plain,
( spl22_55
<=> aSet0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_55])]) ).
fof(f1449,plain,
( spl22_55
| ~ spl22_56 ),
inference(avatar_split_clause,[],[f1433,f1446,f1442]) ).
fof(f1446,plain,
( spl22_56
<=> aSubsetOf0(slbdtrb0(xk),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_56])]) ).
fof(f1394,plain,
spl22_53,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| spl22_53 ),
inference(subsumption_resolution,[],[f1392,f313]) ).
fof(f1392,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl22_53 ),
inference(resolution,[],[f1386,f342]) ).
fof(f1386,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl22_53 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1384,plain,
( spl22_53
<=> aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_53])]) ).
fof(f1391,plain,
( ~ spl22_53
| spl22_54
| spl22_51 ),
inference(avatar_split_clause,[],[f1359,f1348,f1388,f1384]) ).
fof(f1388,plain,
( spl22_54
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_54])]) ).
fof(f1359,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl22_51 ),
inference(resolution,[],[f1350,f344]) ).
fof(f1350,plain,
( ~ aElementOf0(sK12(szszuzczcdt0(sz00)),szNzAzT0)
| spl22_51 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1363,plain,
( spl22_47
| spl22_50 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| spl22_47
| spl22_50 ),
inference(subsumption_resolution,[],[f1361,f254]) ).
fof(f1361,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl22_47
| spl22_50 ),
inference(resolution,[],[f1360,f342]) ).
fof(f1360,plain,
( ~ aElementOf0(szszuzczcdt0(xk),szNzAzT0)
| spl22_47
| spl22_50 ),
inference(subsumption_resolution,[],[f1336,f1344]) ).
fof(f1344,plain,
( sz00 != szszuzczcdt0(xk)
| spl22_50 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1342,plain,
( spl22_50
<=> sz00 = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
fof(f1336,plain,
( sz00 = szszuzczcdt0(xk)
| ~ aElementOf0(szszuzczcdt0(xk),szNzAzT0)
| spl22_47 ),
inference(resolution,[],[f1319,f344]) ).
fof(f1319,plain,
( ~ aElementOf0(sK12(szszuzczcdt0(xk)),szNzAzT0)
| spl22_47 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1358,plain,
spl22_52,
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| spl22_52 ),
inference(subsumption_resolution,[],[f1356,f313]) ).
fof(f1356,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl22_52 ),
inference(resolution,[],[f1353,f505]) ).
fof(f1353,plain,
( ~ sP1(szszuzczcdt0(sz00))
| spl22_52 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1352,plain,
( spl22_52
<=> sP1(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
fof(f1355,plain,
( ~ spl22_51
| spl22_52 ),
inference(avatar_split_clause,[],[f1309,f1352,f1348]) ).
fof(f1345,plain,
( ~ spl22_49
| ~ spl22_50 ),
inference(avatar_split_clause,[],[f1301,f1342,f1338]) ).
fof(f1338,plain,
( spl22_49
<=> aElementOf0(sK12(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
fof(f1327,plain,
spl22_48,
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| spl22_48 ),
inference(subsumption_resolution,[],[f1325,f254]) ).
fof(f1325,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl22_48 ),
inference(resolution,[],[f1322,f505]) ).
fof(f1322,plain,
( ~ sP1(szszuzczcdt0(xk))
| spl22_48 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f1321,plain,
( spl22_48
<=> sP1(szszuzczcdt0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
fof(f1324,plain,
( ~ spl22_47
| spl22_48 ),
inference(avatar_split_clause,[],[f1295,f1321,f1317]) ).
fof(f1239,plain,
( ~ spl22_18
| spl22_46 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1238,plain,
( $false
| ~ spl22_18
| spl22_46 ),
inference(subsumption_resolution,[],[f1235,f313]) ).
fof(f1235,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl22_18
| spl22_46 ),
inference(resolution,[],[f1229,f336]) ).
fof(f1229,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl22_18
| spl22_46 ),
inference(superposition,[],[f1209,f746]) ).
fof(f746,plain,
( sz00 = sK17(szNzAzT0)
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl22_18
<=> sz00 = sK17(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f1209,plain,
( ~ sdtlseqdt0(sK17(szNzAzT0),sz00)
| spl22_46 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1207,plain,
( spl22_46
<=> sdtlseqdt0(sK17(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).
fof(f1237,plain,
( ~ spl22_18
| spl22_46 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl22_18
| spl22_46 ),
inference(subsumption_resolution,[],[f1234,f313]) ).
fof(f1234,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl22_18
| spl22_46 ),
inference(resolution,[],[f1229,f337]) ).
fof(f1216,plain,
( spl22_10
| spl22_18
| spl22_45 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1215,plain,
( $false
| spl22_10
| spl22_18
| spl22_45 ),
inference(subsumption_resolution,[],[f1214,f315]) ).
fof(f1214,plain,
( ~ aSet0(szNzAzT0)
| spl22_10
| spl22_18
| spl22_45 ),
inference(subsumption_resolution,[],[f1213,f627]) ).
fof(f1213,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| spl22_18
| spl22_45 ),
inference(resolution,[],[f1212,f375]) ).
fof(f1212,plain,
( ~ aElementOf0(sK17(szNzAzT0),szNzAzT0)
| spl22_18
| spl22_45 ),
inference(subsumption_resolution,[],[f1211,f745]) ).
fof(f745,plain,
( sz00 != sK17(szNzAzT0)
| spl22_18 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f1211,plain,
( sz00 = sK17(szNzAzT0)
| ~ aElementOf0(sK17(szNzAzT0),szNzAzT0)
| spl22_45 ),
inference(resolution,[],[f1205,f344]) ).
fof(f1205,plain,
( ~ aElementOf0(sK12(sK17(szNzAzT0)),szNzAzT0)
| spl22_45 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1203,plain,
( spl22_45
<=> aElementOf0(sK12(sK17(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
fof(f1210,plain,
( ~ spl22_45
| ~ spl22_46
| spl22_10
| spl22_18 ),
inference(avatar_split_clause,[],[f1140,f744,f626,f1207,f1203]) ).
fof(f1140,plain,
( ~ sdtlseqdt0(sK17(szNzAzT0),sz00)
| ~ aElementOf0(sK12(sK17(szNzAzT0)),szNzAzT0)
| spl22_10
| spl22_18 ),
inference(superposition,[],[f339,f1109]) ).
fof(f1109,plain,
( sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0)))
| spl22_10
| spl22_18 ),
inference(subsumption_resolution,[],[f1108,f315]) ).
fof(f1108,plain,
( sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl22_10
| spl22_18 ),
inference(subsumption_resolution,[],[f1107,f627]) ).
fof(f1107,plain,
( sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| spl22_18 ),
inference(subsumption_resolution,[],[f1102,f745]) ).
fof(f1102,plain,
( sz00 = sK17(szNzAzT0)
| sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f345,f375]) ).
fof(f1197,plain,
( spl22_43
| spl22_44
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f1176,f1152,f1194,f1190]) ).
fof(f1190,plain,
( spl22_43
<=> aElement0(sK12(sK12(xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
fof(f1194,plain,
( spl22_44
<=> sz00 = sK12(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
fof(f1176,plain,
( sz00 = sK12(xk)
| aElement0(sK12(sK12(xk)))
| ~ spl22_41 ),
inference(resolution,[],[f1153,f727]) ).
fof(f1169,plain,
spl22_41,
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| spl22_41 ),
inference(subsumption_resolution,[],[f1167,f254]) ).
fof(f1167,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl22_41 ),
inference(subsumption_resolution,[],[f1166,f267]) ).
fof(f1166,plain,
( sz00 = xk
| ~ aElementOf0(xk,szNzAzT0)
| spl22_41 ),
inference(resolution,[],[f1154,f344]) ).
fof(f1154,plain,
( ~ aElementOf0(sK12(xk),szNzAzT0)
| spl22_41 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1159,plain,
( ~ spl22_41
| ~ spl22_42 ),
inference(avatar_split_clause,[],[f1112,f1156,f1152]) ).
fof(f1080,plain,
( ~ spl22_39
| spl22_40
| spl22_35 ),
inference(avatar_split_clause,[],[f1071,f958,f1077,f1073]) ).
fof(f1073,plain,
( spl22_39
<=> aSubsetOf0(sK7,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
fof(f1077,plain,
( spl22_40
<=> aElementOf0(szmzizndt0(sK7),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
fof(f958,plain,
( spl22_35
<=> slcrc0 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
fof(f1071,plain,
( aElementOf0(szmzizndt0(sK7),xS)
| ~ aSubsetOf0(sK7,szNzAzT0)
| spl22_35 ),
inference(subsumption_resolution,[],[f954,f959]) ).
fof(f959,plain,
( slcrc0 != sK7
| spl22_35 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f1053,plain,
( ~ spl22_9
| spl22_37 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl22_9
| spl22_37 ),
inference(subsumption_resolution,[],[f1051,f624]) ).
fof(f624,plain,
( sP1(sK17(szNzAzT0))
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl22_9
<=> sP1(sK17(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f1051,plain,
( ~ sP1(sK17(szNzAzT0))
| spl22_37 ),
inference(resolution,[],[f1041,f479]) ).
fof(f1041,plain,
( ~ aSet0(slbdtrb0(sK17(szNzAzT0)))
| spl22_37 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl22_37
<=> aSet0(slbdtrb0(sK17(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
fof(f1050,plain,
( spl22_10
| spl22_38 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1049,plain,
( $false
| spl22_10
| spl22_38 ),
inference(subsumption_resolution,[],[f1048,f627]) ).
fof(f1048,plain,
( slcrc0 = szNzAzT0
| spl22_38 ),
inference(subsumption_resolution,[],[f1047,f315]) ).
fof(f1047,plain,
( ~ aSet0(szNzAzT0)
| slcrc0 = szNzAzT0
| spl22_38 ),
inference(resolution,[],[f1044,f592]) ).
fof(f1044,plain,
( ~ aElement0(sK17(szNzAzT0))
| spl22_38 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl22_38
<=> aElement0(sK17(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
fof(f1046,plain,
( ~ spl22_37
| spl22_38
| spl22_10 ),
inference(avatar_split_clause,[],[f1037,f626,f1043,f1039]) ).
fof(f1037,plain,
( aElement0(sK17(szNzAzT0))
| ~ aSet0(slbdtrb0(sK17(szNzAzT0)))
| spl22_10 ),
inference(superposition,[],[f321,f1031]) ).
fof(f976,plain,
~ spl22_35,
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f974,f267]) ).
fof(f974,plain,
( sz00 = xk
| ~ spl22_35 ),
inference(forward_demodulation,[],[f970,f476]) ).
fof(f970,plain,
( xk = sbrdtbr0(slcrc0)
| ~ spl22_35 ),
inference(superposition,[],[f540,f960]) ).
fof(f960,plain,
( slcrc0 = sK7
| ~ spl22_35 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f965,plain,
( spl22_35
| spl22_36 ),
inference(avatar_split_clause,[],[f956,f962,f958]) ).
fof(f962,plain,
( spl22_36
<=> aElementOf0(sK17(sK7),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
fof(f943,plain,
( ~ spl22_2
| ~ spl22_8 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl22_2
| ~ spl22_8 ),
inference(subsumption_resolution,[],[f931,f435]) ).
fof(f931,plain,
( aElementOf0(xx,slcrc0)
| ~ spl22_2
| ~ spl22_8 ),
inference(superposition,[],[f457,f619]) ).
fof(f619,plain,
( slcrc0 = xP
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl22_8
<=> slcrc0 = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f927,plain,
( spl22_33
| spl22_34
| spl22_8 ),
inference(avatar_split_clause,[],[f918,f617,f924,f920]) ).
fof(f920,plain,
( spl22_33
<=> aElementOf0(sK17(xP),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
fof(f924,plain,
( spl22_34
<=> xx = sK17(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f918,plain,
( xx = sK17(xP)
| aElementOf0(sK17(xP),xQ)
| spl22_8 ),
inference(subsumption_resolution,[],[f917,f273]) ).
fof(f917,plain,
( xx = sK17(xP)
| aElementOf0(sK17(xP),xQ)
| ~ aSet0(xP)
| spl22_8 ),
inference(subsumption_resolution,[],[f916,f618]) ).
fof(f618,plain,
( slcrc0 != xP
| spl22_8 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f913,plain,
( ~ spl22_31
| spl22_32 ),
inference(avatar_split_clause,[],[f902,f910,f906]) ).
fof(f910,plain,
( spl22_32
<=> xx = xy ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f895,plain,
( spl22_29
| ~ spl22_30 ),
inference(avatar_split_clause,[],[f818,f892,f888]) ).
fof(f888,plain,
( spl22_29
<=> aSet0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
fof(f892,plain,
( spl22_30
<=> aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
fof(f886,plain,
( spl22_27
| spl22_28 ),
inference(avatar_split_clause,[],[f606,f883,f879]) ).
fof(f879,plain,
( spl22_27
<=> aSet0(sK17(slbdtsldtrb0(xT,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f883,plain,
( spl22_28
<=> slcrc0 = slbdtsldtrb0(xT,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
fof(f877,plain,
( spl22_25
| spl22_26 ),
inference(avatar_split_clause,[],[f594,f874,f870]) ).
fof(f870,plain,
( spl22_25
<=> aElement0(sK17(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f862,plain,
( spl22_23
| ~ spl22_24
| spl22_12 ),
inference(avatar_split_clause,[],[f819,f643,f859,f855]) ).
fof(f855,plain,
( spl22_23
<=> aElementOf0(szmzizndt0(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f859,plain,
( spl22_24
<=> aSubsetOf0(xQ,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f643,plain,
( spl22_12
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f819,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
| aElementOf0(szmzizndt0(xQ),xS)
| spl22_12 ),
inference(subsumption_resolution,[],[f807,f644]) ).
fof(f644,plain,
( slcrc0 != xQ
| spl22_12 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f807,plain,
( slcrc0 = xQ
| ~ aSubsetOf0(xQ,szNzAzT0)
| aElementOf0(szmzizndt0(xQ),xS) ),
inference(resolution,[],[f434,f261]) ).
fof(f847,plain,
spl22_22,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f846,plain,
( $false
| spl22_22 ),
inference(subsumption_resolution,[],[f845,f315]) ).
fof(f845,plain,
( ~ aSet0(szNzAzT0)
| spl22_22 ),
inference(resolution,[],[f837,f322]) ).
fof(f837,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_22 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f838,plain,
( spl22_21
| ~ spl22_22
| spl22_10 ),
inference(avatar_split_clause,[],[f813,f626,f835,f831]) ).
fof(f831,plain,
( spl22_21
<=> sP1(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f813,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(szmzizndt0(szNzAzT0))
| spl22_10 ),
inference(subsumption_resolution,[],[f797,f627]) ).
fof(f797,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(szmzizndt0(szNzAzT0)) ),
inference(resolution,[],[f434,f355]) ).
fof(f829,plain,
( spl22_19
| ~ spl22_20
| spl22_8 ),
inference(avatar_split_clause,[],[f820,f617,f826,f822]) ).
fof(f822,plain,
( spl22_19
<=> aElement0(szmzizndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f826,plain,
( spl22_20
<=> aSubsetOf0(xP,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f820,plain,
( ~ aSubsetOf0(xP,szNzAzT0)
| aElement0(szmzizndt0(xP))
| spl22_8 ),
inference(subsumption_resolution,[],[f808,f618]) ).
fof(f808,plain,
( slcrc0 = xP
| ~ aSubsetOf0(xP,szNzAzT0)
| aElement0(szmzizndt0(xP)) ),
inference(resolution,[],[f434,f274]) ).
fof(f780,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| ~ spl22_10 ),
inference(subsumption_resolution,[],[f760,f312]) ).
fof(f760,plain,
( ~ isFinite0(slcrc0)
| ~ spl22_10 ),
inference(superposition,[],[f475,f628]) ).
fof(f628,plain,
( slcrc0 = szNzAzT0
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f771,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| ~ spl22_10 ),
inference(subsumption_resolution,[],[f752,f449]) ).
fof(f752,plain,
( isCountable0(slcrc0)
| ~ spl22_10 ),
inference(superposition,[],[f316,f628]) ).
fof(f769,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f768,plain,
( $false
| ~ spl22_10 ),
inference(subsumption_resolution,[],[f750,f435]) ).
fof(f750,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl22_10 ),
inference(superposition,[],[f313,f628]) ).
fof(f767,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl22_10 ),
inference(subsumption_resolution,[],[f749,f435]) ).
fof(f749,plain,
( aElementOf0(xk,slcrc0)
| ~ spl22_10 ),
inference(superposition,[],[f254,f628]) ).
fof(f747,plain,
( spl22_17
| spl22_18
| spl22_10 ),
inference(avatar_split_clause,[],[f738,f626,f744,f740]) ).
fof(f740,plain,
( spl22_17
<=> aElement0(sK12(sK17(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f738,plain,
( sz00 = sK17(szNzAzT0)
| aElement0(sK12(sK17(szNzAzT0)))
| spl22_10 ),
inference(subsumption_resolution,[],[f737,f315]) ).
fof(f737,plain,
( sz00 = sK17(szNzAzT0)
| aElement0(sK12(sK17(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl22_10 ),
inference(subsumption_resolution,[],[f734,f627]) ).
fof(f721,plain,
spl22_15,
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| spl22_15 ),
inference(subsumption_resolution,[],[f719,f255]) ).
fof(f719,plain,
( ~ aElement0(xy)
| spl22_15 ),
inference(subsumption_resolution,[],[f718,f257]) ).
fof(f718,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl22_15 ),
inference(subsumption_resolution,[],[f717,f258]) ).
fof(f717,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| spl22_15 ),
inference(resolution,[],[f320,f711]) ).
fof(f711,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl22_15 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f716,plain,
( ~ spl22_15
| spl22_16
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f707,f451,f713,f709]) ).
fof(f697,plain,
( ~ spl22_13
| spl22_14
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f688,f451,f694,f690]) ).
fof(f690,plain,
( spl22_13
<=> isCountable0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f694,plain,
( spl22_14
<=> isCountable0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f646,plain,
( spl22_11
| spl22_12 ),
inference(avatar_split_clause,[],[f607,f643,f639]) ).
fof(f639,plain,
( spl22_11
<=> aElementOf0(sK17(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f629,plain,
( spl22_9
| spl22_10 ),
inference(avatar_split_clause,[],[f597,f626,f622]) ).
fof(f620,plain,
( spl22_7
| spl22_8 ),
inference(avatar_split_clause,[],[f608,f617,f613]) ).
fof(f613,plain,
( spl22_7
<=> aElement0(sK17(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f571,plain,
( ~ spl22_5
| spl22_6 ),
inference(avatar_split_clause,[],[f562,f568,f564]) ).
fof(f495,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| spl22_1 ),
inference(subsumption_resolution,[],[f493,f265]) ).
fof(f493,plain,
( ~ aSet0(xS)
| spl22_1 ),
inference(subsumption_resolution,[],[f488,f453]) ).
fof(f453,plain,
( ~ aElement0(xx)
| spl22_1 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f471,plain,
( spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f248,f468,f464]) ).
fof(f458,plain,
( ~ spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f425,f455,f451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:34:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20129)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (20133)WARNING: value z3 for option sas not known
% 0.13/0.37 % (20134)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (20135)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)
% 0.13/0.37 % (20136)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)
% 0.13/0.37 % (20137)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)
% 0.13/0.37 % (20133)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)
% 0.13/0.37 % (20132)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (20131)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [3]
% 0.20/0.42 TRYING [4]
% 0.20/0.42 TRYING [4]
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.48 TRYING [5]
% 0.20/0.49 TRYING [5]
% 0.20/0.50 TRYING [4]
% 0.20/0.51 % (20133)First to succeed.
% 0.20/0.53 % (20133)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20129"
% 0.20/0.53 % (20133)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.54 % (20133)------------------------------
% 1.32/0.54 % (20133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.54 % (20133)Termination reason: Refutation
% 1.32/0.54
% 1.32/0.54 % (20133)Memory used [KB]: 2907
% 1.32/0.54 % (20133)Time elapsed: 0.158 s
% 1.32/0.54 % (20133)Instructions burned: 375 (million)
% 1.32/0.54 % (20129)Success in time 0.169 s
%------------------------------------------------------------------------------