TSTP Solution File: TOP025+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Sat Sep 2 21:32:39 EDT 2023
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 440
% Syntax : Number of formulae : 1342 ( 182 unt; 0 def)
% Number of atoms : 4738 ( 74 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 5824 (2428 ~;2497 |; 442 &)
% ( 367 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 394 ( 392 usr; 362 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 1184 (;1126 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3017,plain,
$false,
inference(avatar_sat_refutation,[],[f339,f344,f349,f354,f359,f364,f373,f378,f383,f388,f393,f398,f403,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f457,f461,f465,f469,f473,f477,f481,f485,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f566,f573,f585,f589,f593,f597,f601,f605,f609,f613,f617,f621,f625,f629,f633,f637,f641,f645,f649,f653,f657,f662,f666,f670,f674,f684,f695,f702,f706,f710,f714,f718,f722,f726,f730,f734,f738,f742,f746,f752,f757,f761,f765,f769,f773,f777,f781,f785,f789,f793,f797,f801,f805,f809,f813,f817,f821,f845,f911,f915,f919,f923,f927,f931,f935,f939,f943,f947,f951,f955,f959,f963,f967,f971,f975,f980,f984,f1108,f1117,f1121,f1125,f1137,f1141,f1145,f1149,f1153,f1157,f1161,f1165,f1281,f1285,f1303,f1307,f1311,f1365,f1398,f1402,f1406,f1470,f1494,f1535,f1562,f1566,f1616,f1620,f1670,f1697,f1702,f1707,f1712,f1721,f1726,f1731,f1736,f1744,f1748,f1757,f1783,f1791,f1796,f1801,f1805,f1810,f1815,f1816,f1823,f1829,f1870,f1879,f1887,f1892,f1903,f1907,f1911,f1919,f1928,f1932,f1936,f1941,f1945,f1949,f1953,f1957,f1961,f1965,f1969,f1973,f1980,f1985,f2005,f2009,f2013,f2017,f2021,f2025,f2029,f2033,f2037,f2041,f2045,f2049,f2053,f2057,f2061,f2065,f2087,f2091,f2095,f2099,f2103,f2107,f2111,f2115,f2119,f2123,f2127,f2131,f2135,f2139,f2143,f2147,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2184,f2188,f2192,f2197,f2201,f2205,f2236,f2275,f2316,f2320,f2324,f2328,f2332,f2336,f2340,f2344,f2348,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2400,f2404,f2408,f2412,f2416,f2420,f2424,f2428,f2432,f2530,f2534,f2539,f2543,f2547,f2551,f2555,f2559,f2563,f2567,f2571,f2575,f2579,f2584,f2588,f2592,f2596,f2600,f2604,f2608,f2612,f2616,f2620,f2624,f2629,f2633,f2637,f2641,f2645,f2649,f2653,f2657,f2661,f2665,f2670,f2674,f2678,f2689,f2847,f2851,f2855,f2859,f2863,f2867,f2874,f2878,f2882,f2886,f2890,f2894,f2898,f2902,f2906,f2910,f2925,f2929,f2933,f2937,f2941,f2945,f2949,f2953,f2957,f2961,f2979,f2983,f2987,f2991,f2995,f2999,f3003,f3007,f3011,f3015,f3016]) ).
fof(f3016,plain,
( ~ spl23_290
| ~ spl23_287
| ~ spl23_301 ),
inference(avatar_split_clause,[],[f2783,f2581,f2430,f2536]) ).
fof(f2536,plain,
( spl23_290
<=> m1_subset_1(sK7,k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_290])]) ).
fof(f2430,plain,
( spl23_287
<=> ! [X0] :
( ~ v1_tex_2(X0,k1_zfmisc_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_287])]) ).
fof(f2581,plain,
( spl23_301
<=> v1_tex_2(sK7,k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_301])]) ).
fof(f2783,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(sK7))
| ~ spl23_287
| ~ spl23_301 ),
inference(resolution,[],[f2583,f2431]) ).
fof(f2431,plain,
( ! [X0] :
( ~ v1_tex_2(X0,k1_zfmisc_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X0)) )
| ~ spl23_287 ),
inference(avatar_component_clause,[],[f2430]) ).
fof(f2583,plain,
( v1_tex_2(sK7,k1_zfmisc_1(sK7))
| ~ spl23_301 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f3015,plain,
( spl23_361
| ~ spl23_111
| ~ spl23_140 ),
inference(avatar_split_clause,[],[f1242,f1159,f913,f3013]) ).
fof(f3013,plain,
( spl23_361
<=> ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK16(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_361])]) ).
fof(f913,plain,
( spl23_111
<=> ! [X0,X1] :
( sP2(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_111])]) ).
fof(f1159,plain,
( spl23_140
<=> ! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_140])]) ).
fof(f1242,plain,
( ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK16(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl23_111
| ~ spl23_140 ),
inference(resolution,[],[f1160,f914]) ).
fof(f914,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP2(X1)
| ~ v5_membered(X0) )
| ~ spl23_111 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f1160,plain,
( ! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_140 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f3011,plain,
( spl23_360
| ~ spl23_121
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1227,f1155,f953,f3009]) ).
fof(f3009,plain,
( spl23_360
<=> ! [X11] :
( ~ l1_pre_topc(X11)
| ~ v2_pre_topc(X11)
| v1_membered(sK15(X11))
| ~ v1_membered(u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_360])]) ).
fof(f953,plain,
( spl23_121
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_121])]) ).
fof(f1155,plain,
( spl23_139
<=> ! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_139])]) ).
fof(f1227,plain,
( ! [X11] :
( ~ l1_pre_topc(X11)
| ~ v2_pre_topc(X11)
| v1_membered(sK15(X11))
| ~ v1_membered(u1_struct_0(X11)) )
| ~ spl23_121
| ~ spl23_139 ),
inference(resolution,[],[f1156,f954]) ).
fof(f954,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v1_membered(X0) )
| ~ spl23_121 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f1156,plain,
( ! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_139 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f3007,plain,
( spl23_359
| ~ spl23_120
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1226,f1155,f949,f3005]) ).
fof(f3005,plain,
( spl23_359
<=> ! [X10] :
( ~ l1_pre_topc(X10)
| ~ v2_pre_topc(X10)
| v2_membered(sK15(X10))
| ~ v2_membered(u1_struct_0(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_359])]) ).
fof(f949,plain,
( spl23_120
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_120])]) ).
fof(f1226,plain,
( ! [X10] :
( ~ l1_pre_topc(X10)
| ~ v2_pre_topc(X10)
| v2_membered(sK15(X10))
| ~ v2_membered(u1_struct_0(X10)) )
| ~ spl23_120
| ~ spl23_139 ),
inference(resolution,[],[f1156,f950]) ).
fof(f950,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v2_membered(X0) )
| ~ spl23_120 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f3003,plain,
( spl23_358
| ~ spl23_119
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1225,f1155,f945,f3001]) ).
fof(f3001,plain,
( spl23_358
<=> ! [X9] :
( ~ l1_pre_topc(X9)
| ~ v2_pre_topc(X9)
| v1_membered(sK15(X9))
| ~ v2_membered(u1_struct_0(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_358])]) ).
fof(f945,plain,
( spl23_119
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_119])]) ).
fof(f1225,plain,
( ! [X9] :
( ~ l1_pre_topc(X9)
| ~ v2_pre_topc(X9)
| v1_membered(sK15(X9))
| ~ v2_membered(u1_struct_0(X9)) )
| ~ spl23_119
| ~ spl23_139 ),
inference(resolution,[],[f1156,f946]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v2_membered(X0) )
| ~ spl23_119 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f2999,plain,
( spl23_357
| ~ spl23_118
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1224,f1155,f941,f2997]) ).
fof(f2997,plain,
( spl23_357
<=> ! [X8] :
( ~ l1_pre_topc(X8)
| ~ v2_pre_topc(X8)
| v3_membered(sK15(X8))
| ~ v3_membered(u1_struct_0(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_357])]) ).
fof(f941,plain,
( spl23_118
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_118])]) ).
fof(f1224,plain,
( ! [X8] :
( ~ l1_pre_topc(X8)
| ~ v2_pre_topc(X8)
| v3_membered(sK15(X8))
| ~ v3_membered(u1_struct_0(X8)) )
| ~ spl23_118
| ~ spl23_139 ),
inference(resolution,[],[f1156,f942]) ).
fof(f942,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v3_membered(X0) )
| ~ spl23_118 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f2995,plain,
( spl23_356
| ~ spl23_117
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1223,f1155,f937,f2993]) ).
fof(f2993,plain,
( spl23_356
<=> ! [X7] :
( ~ l1_pre_topc(X7)
| ~ v2_pre_topc(X7)
| v2_membered(sK15(X7))
| ~ v3_membered(u1_struct_0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_356])]) ).
fof(f937,plain,
( spl23_117
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_117])]) ).
fof(f1223,plain,
( ! [X7] :
( ~ l1_pre_topc(X7)
| ~ v2_pre_topc(X7)
| v2_membered(sK15(X7))
| ~ v3_membered(u1_struct_0(X7)) )
| ~ spl23_117
| ~ spl23_139 ),
inference(resolution,[],[f1156,f938]) ).
fof(f938,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v3_membered(X0) )
| ~ spl23_117 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f2991,plain,
( spl23_355
| ~ spl23_116
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1222,f1155,f933,f2989]) ).
fof(f2989,plain,
( spl23_355
<=> ! [X6] :
( ~ l1_pre_topc(X6)
| ~ v2_pre_topc(X6)
| v1_membered(sK15(X6))
| ~ v3_membered(u1_struct_0(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_355])]) ).
fof(f933,plain,
( spl23_116
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_116])]) ).
fof(f1222,plain,
( ! [X6] :
( ~ l1_pre_topc(X6)
| ~ v2_pre_topc(X6)
| v1_membered(sK15(X6))
| ~ v3_membered(u1_struct_0(X6)) )
| ~ spl23_116
| ~ spl23_139 ),
inference(resolution,[],[f1156,f934]) ).
fof(f934,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v3_membered(X0) )
| ~ spl23_116 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f2987,plain,
( spl23_354
| ~ spl23_115
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1221,f1155,f929,f2985]) ).
fof(f2985,plain,
( spl23_354
<=> ! [X5] :
( ~ l1_pre_topc(X5)
| ~ v2_pre_topc(X5)
| v4_membered(sK15(X5))
| ~ v4_membered(u1_struct_0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_354])]) ).
fof(f929,plain,
( spl23_115
<=> ! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_115])]) ).
fof(f1221,plain,
( ! [X5] :
( ~ l1_pre_topc(X5)
| ~ v2_pre_topc(X5)
| v4_membered(sK15(X5))
| ~ v4_membered(u1_struct_0(X5)) )
| ~ spl23_115
| ~ spl23_139 ),
inference(resolution,[],[f1156,f930]) ).
fof(f930,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v4_membered(X1)
| ~ v4_membered(X0) )
| ~ spl23_115 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f2983,plain,
( spl23_353
| ~ spl23_114
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1220,f1155,f925,f2981]) ).
fof(f2981,plain,
( spl23_353
<=> ! [X4] :
( ~ l1_pre_topc(X4)
| ~ v2_pre_topc(X4)
| v3_membered(sK15(X4))
| ~ v4_membered(u1_struct_0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_353])]) ).
fof(f925,plain,
( spl23_114
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_114])]) ).
fof(f1220,plain,
( ! [X4] :
( ~ l1_pre_topc(X4)
| ~ v2_pre_topc(X4)
| v3_membered(sK15(X4))
| ~ v4_membered(u1_struct_0(X4)) )
| ~ spl23_114
| ~ spl23_139 ),
inference(resolution,[],[f1156,f926]) ).
fof(f926,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v4_membered(X0) )
| ~ spl23_114 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f2979,plain,
( spl23_352
| ~ spl23_113
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1219,f1155,f921,f2977]) ).
fof(f2977,plain,
( spl23_352
<=> ! [X3] :
( ~ l1_pre_topc(X3)
| ~ v2_pre_topc(X3)
| v2_membered(sK15(X3))
| ~ v4_membered(u1_struct_0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_352])]) ).
fof(f921,plain,
( spl23_113
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_113])]) ).
fof(f1219,plain,
( ! [X3] :
( ~ l1_pre_topc(X3)
| ~ v2_pre_topc(X3)
| v2_membered(sK15(X3))
| ~ v4_membered(u1_struct_0(X3)) )
| ~ spl23_113
| ~ spl23_139 ),
inference(resolution,[],[f1156,f922]) ).
fof(f922,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v4_membered(X0) )
| ~ spl23_113 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f2961,plain,
( spl23_351
| ~ spl23_112
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1218,f1155,f917,f2959]) ).
fof(f2959,plain,
( spl23_351
<=> ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| v1_membered(sK15(X2))
| ~ v4_membered(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_351])]) ).
fof(f917,plain,
( spl23_112
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_112])]) ).
fof(f1218,plain,
( ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| v1_membered(sK15(X2))
| ~ v4_membered(u1_struct_0(X2)) )
| ~ spl23_112
| ~ spl23_139 ),
inference(resolution,[],[f1156,f918]) ).
fof(f918,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v4_membered(X0) )
| ~ spl23_112 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f2957,plain,
( spl23_350
| ~ spl23_111
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1217,f1155,f913,f2955]) ).
fof(f2955,plain,
( spl23_350
<=> ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK15(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_350])]) ).
fof(f1217,plain,
( ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK15(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl23_111
| ~ spl23_139 ),
inference(resolution,[],[f1156,f914]) ).
fof(f2953,plain,
( spl23_349
| ~ spl23_121
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1202,f1151,f953,f2951]) ).
fof(f2951,plain,
( spl23_349
<=> ! [X11] :
( ~ l1_pre_topc(X11)
| ~ v2_pre_topc(X11)
| v1_membered(sK14(X11))
| ~ v1_membered(u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_349])]) ).
fof(f1151,plain,
( spl23_138
<=> ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_138])]) ).
fof(f1202,plain,
( ! [X11] :
( ~ l1_pre_topc(X11)
| ~ v2_pre_topc(X11)
| v1_membered(sK14(X11))
| ~ v1_membered(u1_struct_0(X11)) )
| ~ spl23_121
| ~ spl23_138 ),
inference(resolution,[],[f1152,f954]) ).
fof(f1152,plain,
( ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_138 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f2949,plain,
( spl23_348
| ~ spl23_120
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1201,f1151,f949,f2947]) ).
fof(f2947,plain,
( spl23_348
<=> ! [X10] :
( ~ l1_pre_topc(X10)
| ~ v2_pre_topc(X10)
| v2_membered(sK14(X10))
| ~ v2_membered(u1_struct_0(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_348])]) ).
fof(f1201,plain,
( ! [X10] :
( ~ l1_pre_topc(X10)
| ~ v2_pre_topc(X10)
| v2_membered(sK14(X10))
| ~ v2_membered(u1_struct_0(X10)) )
| ~ spl23_120
| ~ spl23_138 ),
inference(resolution,[],[f1152,f950]) ).
fof(f2945,plain,
( spl23_347
| ~ spl23_119
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1200,f1151,f945,f2943]) ).
fof(f2943,plain,
( spl23_347
<=> ! [X9] :
( ~ l1_pre_topc(X9)
| ~ v2_pre_topc(X9)
| v1_membered(sK14(X9))
| ~ v2_membered(u1_struct_0(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_347])]) ).
fof(f1200,plain,
( ! [X9] :
( ~ l1_pre_topc(X9)
| ~ v2_pre_topc(X9)
| v1_membered(sK14(X9))
| ~ v2_membered(u1_struct_0(X9)) )
| ~ spl23_119
| ~ spl23_138 ),
inference(resolution,[],[f1152,f946]) ).
fof(f2941,plain,
( spl23_346
| ~ spl23_118
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1199,f1151,f941,f2939]) ).
fof(f2939,plain,
( spl23_346
<=> ! [X8] :
( ~ l1_pre_topc(X8)
| ~ v2_pre_topc(X8)
| v3_membered(sK14(X8))
| ~ v3_membered(u1_struct_0(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_346])]) ).
fof(f1199,plain,
( ! [X8] :
( ~ l1_pre_topc(X8)
| ~ v2_pre_topc(X8)
| v3_membered(sK14(X8))
| ~ v3_membered(u1_struct_0(X8)) )
| ~ spl23_118
| ~ spl23_138 ),
inference(resolution,[],[f1152,f942]) ).
fof(f2937,plain,
( spl23_345
| ~ spl23_117
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1198,f1151,f937,f2935]) ).
fof(f2935,plain,
( spl23_345
<=> ! [X7] :
( ~ l1_pre_topc(X7)
| ~ v2_pre_topc(X7)
| v2_membered(sK14(X7))
| ~ v3_membered(u1_struct_0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_345])]) ).
fof(f1198,plain,
( ! [X7] :
( ~ l1_pre_topc(X7)
| ~ v2_pre_topc(X7)
| v2_membered(sK14(X7))
| ~ v3_membered(u1_struct_0(X7)) )
| ~ spl23_117
| ~ spl23_138 ),
inference(resolution,[],[f1152,f938]) ).
fof(f2933,plain,
( spl23_344
| ~ spl23_116
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1197,f1151,f933,f2931]) ).
fof(f2931,plain,
( spl23_344
<=> ! [X6] :
( ~ l1_pre_topc(X6)
| ~ v2_pre_topc(X6)
| v1_membered(sK14(X6))
| ~ v3_membered(u1_struct_0(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_344])]) ).
fof(f1197,plain,
( ! [X6] :
( ~ l1_pre_topc(X6)
| ~ v2_pre_topc(X6)
| v1_membered(sK14(X6))
| ~ v3_membered(u1_struct_0(X6)) )
| ~ spl23_116
| ~ spl23_138 ),
inference(resolution,[],[f1152,f934]) ).
fof(f2929,plain,
( spl23_343
| ~ spl23_115
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1196,f1151,f929,f2927]) ).
fof(f2927,plain,
( spl23_343
<=> ! [X5] :
( ~ l1_pre_topc(X5)
| ~ v2_pre_topc(X5)
| v4_membered(sK14(X5))
| ~ v4_membered(u1_struct_0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_343])]) ).
fof(f1196,plain,
( ! [X5] :
( ~ l1_pre_topc(X5)
| ~ v2_pre_topc(X5)
| v4_membered(sK14(X5))
| ~ v4_membered(u1_struct_0(X5)) )
| ~ spl23_115
| ~ spl23_138 ),
inference(resolution,[],[f1152,f930]) ).
fof(f2925,plain,
( spl23_342
| ~ spl23_114
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1195,f1151,f925,f2923]) ).
fof(f2923,plain,
( spl23_342
<=> ! [X4] :
( ~ l1_pre_topc(X4)
| ~ v2_pre_topc(X4)
| v3_membered(sK14(X4))
| ~ v4_membered(u1_struct_0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_342])]) ).
fof(f1195,plain,
( ! [X4] :
( ~ l1_pre_topc(X4)
| ~ v2_pre_topc(X4)
| v3_membered(sK14(X4))
| ~ v4_membered(u1_struct_0(X4)) )
| ~ spl23_114
| ~ spl23_138 ),
inference(resolution,[],[f1152,f926]) ).
fof(f2910,plain,
( spl23_341
| ~ spl23_113
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1194,f1151,f921,f2908]) ).
fof(f2908,plain,
( spl23_341
<=> ! [X3] :
( ~ l1_pre_topc(X3)
| ~ v2_pre_topc(X3)
| v2_membered(sK14(X3))
| ~ v4_membered(u1_struct_0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_341])]) ).
fof(f1194,plain,
( ! [X3] :
( ~ l1_pre_topc(X3)
| ~ v2_pre_topc(X3)
| v2_membered(sK14(X3))
| ~ v4_membered(u1_struct_0(X3)) )
| ~ spl23_113
| ~ spl23_138 ),
inference(resolution,[],[f1152,f922]) ).
fof(f2906,plain,
( spl23_340
| ~ spl23_112
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1193,f1151,f917,f2904]) ).
fof(f2904,plain,
( spl23_340
<=> ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| v1_membered(sK14(X2))
| ~ v4_membered(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_340])]) ).
fof(f1193,plain,
( ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| v1_membered(sK14(X2))
| ~ v4_membered(u1_struct_0(X2)) )
| ~ spl23_112
| ~ spl23_138 ),
inference(resolution,[],[f1152,f918]) ).
fof(f2902,plain,
( spl23_339
| ~ spl23_111
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1192,f1151,f913,f2900]) ).
fof(f2900,plain,
( spl23_339
<=> ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK14(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_339])]) ).
fof(f1192,plain,
( ! [X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| sP2(sK14(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl23_111
| ~ spl23_138 ),
inference(resolution,[],[f1152,f914]) ).
fof(f2898,plain,
( spl23_338
| ~ spl23_121
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1177,f1147,f953,f2896]) ).
fof(f2896,plain,
( spl23_338
<=> ! [X11] :
( ~ l1_struct_0(X11)
| v3_struct_0(X11)
| v1_membered(sK12(X11))
| ~ v1_membered(u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_338])]) ).
fof(f1147,plain,
( spl23_137
<=> ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_137])]) ).
fof(f1177,plain,
( ! [X11] :
( ~ l1_struct_0(X11)
| v3_struct_0(X11)
| v1_membered(sK12(X11))
| ~ v1_membered(u1_struct_0(X11)) )
| ~ spl23_121
| ~ spl23_137 ),
inference(resolution,[],[f1148,f954]) ).
fof(f1148,plain,
( ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl23_137 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f2894,plain,
( spl23_337
| ~ spl23_120
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1176,f1147,f949,f2892]) ).
fof(f2892,plain,
( spl23_337
<=> ! [X10] :
( ~ l1_struct_0(X10)
| v3_struct_0(X10)
| v2_membered(sK12(X10))
| ~ v2_membered(u1_struct_0(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_337])]) ).
fof(f1176,plain,
( ! [X10] :
( ~ l1_struct_0(X10)
| v3_struct_0(X10)
| v2_membered(sK12(X10))
| ~ v2_membered(u1_struct_0(X10)) )
| ~ spl23_120
| ~ spl23_137 ),
inference(resolution,[],[f1148,f950]) ).
fof(f2890,plain,
( spl23_336
| ~ spl23_119
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1175,f1147,f945,f2888]) ).
fof(f2888,plain,
( spl23_336
<=> ! [X9] :
( ~ l1_struct_0(X9)
| v3_struct_0(X9)
| v1_membered(sK12(X9))
| ~ v2_membered(u1_struct_0(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_336])]) ).
fof(f1175,plain,
( ! [X9] :
( ~ l1_struct_0(X9)
| v3_struct_0(X9)
| v1_membered(sK12(X9))
| ~ v2_membered(u1_struct_0(X9)) )
| ~ spl23_119
| ~ spl23_137 ),
inference(resolution,[],[f1148,f946]) ).
fof(f2886,plain,
( spl23_335
| ~ spl23_118
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1174,f1147,f941,f2884]) ).
fof(f2884,plain,
( spl23_335
<=> ! [X8] :
( ~ l1_struct_0(X8)
| v3_struct_0(X8)
| v3_membered(sK12(X8))
| ~ v3_membered(u1_struct_0(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_335])]) ).
fof(f1174,plain,
( ! [X8] :
( ~ l1_struct_0(X8)
| v3_struct_0(X8)
| v3_membered(sK12(X8))
| ~ v3_membered(u1_struct_0(X8)) )
| ~ spl23_118
| ~ spl23_137 ),
inference(resolution,[],[f1148,f942]) ).
fof(f2882,plain,
( spl23_334
| ~ spl23_117
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1173,f1147,f937,f2880]) ).
fof(f2880,plain,
( spl23_334
<=> ! [X7] :
( ~ l1_struct_0(X7)
| v3_struct_0(X7)
| v2_membered(sK12(X7))
| ~ v3_membered(u1_struct_0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_334])]) ).
fof(f1173,plain,
( ! [X7] :
( ~ l1_struct_0(X7)
| v3_struct_0(X7)
| v2_membered(sK12(X7))
| ~ v3_membered(u1_struct_0(X7)) )
| ~ spl23_117
| ~ spl23_137 ),
inference(resolution,[],[f1148,f938]) ).
fof(f2878,plain,
( spl23_333
| ~ spl23_116
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1172,f1147,f933,f2876]) ).
fof(f2876,plain,
( spl23_333
<=> ! [X6] :
( ~ l1_struct_0(X6)
| v3_struct_0(X6)
| v1_membered(sK12(X6))
| ~ v3_membered(u1_struct_0(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_333])]) ).
fof(f1172,plain,
( ! [X6] :
( ~ l1_struct_0(X6)
| v3_struct_0(X6)
| v1_membered(sK12(X6))
| ~ v3_membered(u1_struct_0(X6)) )
| ~ spl23_116
| ~ spl23_137 ),
inference(resolution,[],[f1148,f934]) ).
fof(f2874,plain,
( spl23_332
| ~ spl23_115
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1171,f1147,f929,f2872]) ).
fof(f2872,plain,
( spl23_332
<=> ! [X5] :
( ~ l1_struct_0(X5)
| v3_struct_0(X5)
| v4_membered(sK12(X5))
| ~ v4_membered(u1_struct_0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_332])]) ).
fof(f1171,plain,
( ! [X5] :
( ~ l1_struct_0(X5)
| v3_struct_0(X5)
| v4_membered(sK12(X5))
| ~ v4_membered(u1_struct_0(X5)) )
| ~ spl23_115
| ~ spl23_137 ),
inference(resolution,[],[f1148,f930]) ).
fof(f2867,plain,
( spl23_331
| ~ spl23_114
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1170,f1147,f925,f2865]) ).
fof(f2865,plain,
( spl23_331
<=> ! [X4] :
( ~ l1_struct_0(X4)
| v3_struct_0(X4)
| v3_membered(sK12(X4))
| ~ v4_membered(u1_struct_0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_331])]) ).
fof(f1170,plain,
( ! [X4] :
( ~ l1_struct_0(X4)
| v3_struct_0(X4)
| v3_membered(sK12(X4))
| ~ v4_membered(u1_struct_0(X4)) )
| ~ spl23_114
| ~ spl23_137 ),
inference(resolution,[],[f1148,f926]) ).
fof(f2863,plain,
( spl23_330
| ~ spl23_113
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1169,f1147,f921,f2861]) ).
fof(f2861,plain,
( spl23_330
<=> ! [X3] :
( ~ l1_struct_0(X3)
| v3_struct_0(X3)
| v2_membered(sK12(X3))
| ~ v4_membered(u1_struct_0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_330])]) ).
fof(f1169,plain,
( ! [X3] :
( ~ l1_struct_0(X3)
| v3_struct_0(X3)
| v2_membered(sK12(X3))
| ~ v4_membered(u1_struct_0(X3)) )
| ~ spl23_113
| ~ spl23_137 ),
inference(resolution,[],[f1148,f922]) ).
fof(f2859,plain,
( spl23_329
| ~ spl23_112
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1168,f1147,f917,f2857]) ).
fof(f2857,plain,
( spl23_329
<=> ! [X2] :
( ~ l1_struct_0(X2)
| v3_struct_0(X2)
| v1_membered(sK12(X2))
| ~ v4_membered(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_329])]) ).
fof(f1168,plain,
( ! [X2] :
( ~ l1_struct_0(X2)
| v3_struct_0(X2)
| v1_membered(sK12(X2))
| ~ v4_membered(u1_struct_0(X2)) )
| ~ spl23_112
| ~ spl23_137 ),
inference(resolution,[],[f1148,f918]) ).
fof(f2855,plain,
( spl23_328
| ~ spl23_111
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1167,f1147,f913,f2853]) ).
fof(f2853,plain,
( spl23_328
<=> ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sP2(sK12(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_328])]) ).
fof(f1167,plain,
( ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sP2(sK12(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl23_111
| ~ spl23_137 ),
inference(resolution,[],[f1148,f914]) ).
fof(f2851,plain,
( spl23_327
| ~ spl23_90
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f1099,f982,f750,f2849]) ).
fof(f2849,plain,
( spl23_327
<=> ! [X2] :
( v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(sK8(X2),k1_zfmisc_1(X2))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_327])]) ).
fof(f750,plain,
( spl23_90
<=> ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_90])]) ).
fof(f982,plain,
( spl23_128
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_128])]) ).
fof(f1099,plain,
( ! [X2] :
( v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(sK8(X2),k1_zfmisc_1(X2))
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_128 ),
inference(resolution,[],[f983,f751]) ).
fof(f751,plain,
( ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl23_128 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f2847,plain,
( spl23_326
| ~ spl23_106
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f1097,f982,f815,f2845]) ).
fof(f2845,plain,
( spl23_326
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_326])]) ).
fof(f815,plain,
( spl23_106
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_106])]) ).
fof(f1097,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl23_106
| ~ spl23_128 ),
inference(resolution,[],[f983,f816]) ).
fof(f816,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl23_106 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f2689,plain,
( spl23_325
| ~ spl23_91
| ~ spl23_212 ),
inference(avatar_split_clause,[],[f2068,f2011,f754,f2686]) ).
fof(f2686,plain,
( spl23_325
<=> k1_xboole_0 = sK13(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_325])]) ).
fof(f754,plain,
( spl23_91
<=> sP5(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_91])]) ).
fof(f2011,plain,
( spl23_212
<=> ! [X0] :
( ~ sP5(X0)
| k1_xboole_0 = sK13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_212])]) ).
fof(f2068,plain,
( k1_xboole_0 = sK13(sK6)
| ~ spl23_91
| ~ spl23_212 ),
inference(resolution,[],[f2012,f756]) ).
fof(f756,plain,
( sP5(sK6)
| ~ spl23_91 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f2012,plain,
( ! [X0] :
( ~ sP5(X0)
| k1_xboole_0 = sK13(X0) )
| ~ spl23_212 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2678,plain,
( ~ spl23_9
| spl23_324
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_151 ),
inference(avatar_split_clause,[],[f1466,f1404,f668,f611,f459,f2676,f375]) ).
fof(f375,plain,
( spl23_9
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f2676,plain,
( spl23_324
<=> ! [X12] :
( v4_pre_topc(k1_xboole_0,X12)
| ~ v2_pre_topc(X12)
| ~ l1_pre_topc(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_324])]) ).
fof(f459,plain,
( spl23_26
<=> ! [X0] : v1_xboole_0(sK18(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f611,plain,
( spl23_60
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
fof(f668,plain,
( spl23_74
<=> ! [X0] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_74])]) ).
fof(f1404,plain,
( spl23_151
<=> ! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_151])]) ).
fof(f1466,plain,
( ! [X12] :
( v4_pre_topc(k1_xboole_0,X12)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_151 ),
inference(forward_demodulation,[],[f1465,f686]) ).
fof(f686,plain,
( ! [X0] : k1_xboole_0 = sK18(X0)
| ~ spl23_26
| ~ spl23_60 ),
inference(resolution,[],[f612,f460]) ).
fof(f460,plain,
( ! [X0] : v1_xboole_0(sK18(X0))
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f612,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl23_60 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1465,plain,
( ! [X12] :
( ~ v1_xboole_0(k1_xboole_0)
| v4_pre_topc(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_151 ),
inference(forward_demodulation,[],[f1459,f686]) ).
fof(f1459,plain,
( ! [X12] :
( ~ v1_xboole_0(sK18(u1_struct_0(X12)))
| v4_pre_topc(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_74
| ~ spl23_151 ),
inference(resolution,[],[f1405,f669]) ).
fof(f669,plain,
( ! [X0] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0))
| ~ spl23_74 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f1405,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_151 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f2674,plain,
( ~ spl23_9
| spl23_323
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_150 ),
inference(avatar_split_clause,[],[f1446,f1400,f668,f611,f459,f2672,f375]) ).
fof(f2672,plain,
( spl23_323
<=> ! [X12] :
( v3_pre_topc(k1_xboole_0,X12)
| ~ v2_pre_topc(X12)
| ~ l1_pre_topc(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_323])]) ).
fof(f1400,plain,
( spl23_150
<=> ! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_150])]) ).
fof(f1446,plain,
( ! [X12] :
( v3_pre_topc(k1_xboole_0,X12)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_150 ),
inference(forward_demodulation,[],[f1445,f686]) ).
fof(f1445,plain,
( ! [X12] :
( ~ v1_xboole_0(k1_xboole_0)
| v3_pre_topc(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_150 ),
inference(forward_demodulation,[],[f1439,f686]) ).
fof(f1439,plain,
( ! [X12] :
( ~ v1_xboole_0(sK18(u1_struct_0(X12)))
| v3_pre_topc(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_74
| ~ spl23_150 ),
inference(resolution,[],[f1401,f669]) ).
fof(f1401,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_150 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f2670,plain,
( spl23_322
| ~ spl23_52
| ~ spl23_211 ),
inference(avatar_split_clause,[],[f2066,f2007,f570,f2667]) ).
fof(f2667,plain,
( spl23_322
<=> k1_xboole_0 = sK9(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_322])]) ).
fof(f570,plain,
( spl23_52
<=> sP0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f2007,plain,
( spl23_211
<=> ! [X1] :
( k1_xboole_0 = sK9(X1)
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_211])]) ).
fof(f2066,plain,
( k1_xboole_0 = sK9(sK6)
| ~ spl23_52
| ~ spl23_211 ),
inference(resolution,[],[f2008,f572]) ).
fof(f572,plain,
( sP0(sK6)
| ~ spl23_52 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2008,plain,
( ! [X1] :
( ~ sP0(X1)
| k1_xboole_0 = sK9(X1) )
| ~ spl23_211 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2665,plain,
( ~ spl23_9
| spl23_321
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_149 ),
inference(avatar_split_clause,[],[f1426,f1396,f668,f611,f459,f2663,f375]) ).
fof(f2663,plain,
( spl23_321
<=> ! [X12] :
( v3_tops_1(k1_xboole_0,X12)
| ~ v2_pre_topc(X12)
| ~ l1_pre_topc(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_321])]) ).
fof(f1396,plain,
( spl23_149
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_149])]) ).
fof(f1426,plain,
( ! [X12] :
( v3_tops_1(k1_xboole_0,X12)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_149 ),
inference(forward_demodulation,[],[f1425,f686]) ).
fof(f1425,plain,
( ! [X12] :
( ~ v1_xboole_0(k1_xboole_0)
| v3_tops_1(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_149 ),
inference(forward_demodulation,[],[f1419,f686]) ).
fof(f1419,plain,
( ! [X12] :
( ~ v1_xboole_0(sK18(u1_struct_0(X12)))
| v3_tops_1(sK18(u1_struct_0(X12)),X12)
| ~ l1_pre_topc(X12)
| ~ v2_pre_topc(X12) )
| ~ spl23_74
| ~ spl23_149 ),
inference(resolution,[],[f1397,f669]) ).
fof(f1397,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_149 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f2661,plain,
( spl23_320
| ~ spl23_90
| ~ spl23_141 ),
inference(avatar_split_clause,[],[f1268,f1163,f750,f2659]) ).
fof(f2659,plain,
( spl23_320
<=> ! [X4,X5] :
( m1_subset_1(X4,X5)
| ~ r2_hidden(X4,sK8(X5))
| v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_320])]) ).
fof(f1163,plain,
( spl23_141
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_141])]) ).
fof(f1268,plain,
( ! [X4,X5] :
( m1_subset_1(X4,X5)
| ~ r2_hidden(X4,sK8(X5))
| v1_xboole_0(X5) )
| ~ spl23_90
| ~ spl23_141 ),
inference(resolution,[],[f1164,f751]) ).
fof(f1164,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl23_141 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f2657,plain,
( spl23_319
| ~ spl23_106
| ~ spl23_141 ),
inference(avatar_split_clause,[],[f1266,f1163,f815,f2655]) ).
fof(f2655,plain,
( spl23_319
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_319])]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl23_106
| ~ spl23_141 ),
inference(resolution,[],[f1164,f816]) ).
fof(f2653,plain,
( spl23_318
| ~ spl23_105
| ~ spl23_140 ),
inference(avatar_split_clause,[],[f1241,f1159,f811,f2651]) ).
fof(f2651,plain,
( spl23_318
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK16(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_318])]) ).
fof(f811,plain,
( spl23_105
<=> ! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_105])]) ).
fof(f1241,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK16(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_140 ),
inference(resolution,[],[f1160,f812]) ).
fof(f812,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
| ~ spl23_105 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f2649,plain,
( spl23_317
| ~ spl23_105
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1216,f1155,f811,f2647]) ).
fof(f2647,plain,
( spl23_317
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK15(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_317])]) ).
fof(f1216,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK15(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_139 ),
inference(resolution,[],[f1156,f812]) ).
fof(f2645,plain,
( spl23_316
| ~ spl23_105
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1191,f1151,f811,f2643]) ).
fof(f2643,plain,
( spl23_316
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK14(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_316])]) ).
fof(f1191,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| r1_tarski(sK14(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_138 ),
inference(resolution,[],[f1152,f812]) ).
fof(f2641,plain,
( spl23_315
| ~ spl23_105
| ~ spl23_137 ),
inference(avatar_split_clause,[],[f1166,f1147,f811,f2639]) ).
fof(f2639,plain,
( spl23_315
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK12(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_315])]) ).
fof(f1166,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK12(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_137 ),
inference(resolution,[],[f1148,f812]) ).
fof(f2637,plain,
( spl23_314
| ~ spl23_122
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1130,f1123,f957,f2635]) ).
fof(f2635,plain,
( spl23_314
<=> ! [X9,X8] :
( ~ v1_xboole_0(u1_struct_0(X8))
| ~ r2_hidden(X9,sK13(X8))
| ~ sP5(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_314])]) ).
fof(f957,plain,
( spl23_122
<=> ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_122])]) ).
fof(f1123,plain,
( spl23_133
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_133])]) ).
fof(f1130,plain,
( ! [X8,X9] :
( ~ v1_xboole_0(u1_struct_0(X8))
| ~ r2_hidden(X9,sK13(X8))
| ~ sP5(X8) )
| ~ spl23_122
| ~ spl23_133 ),
inference(resolution,[],[f1124,f958]) ).
fof(f958,plain,
( ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP5(X0) )
| ~ spl23_122 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl23_133 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f2633,plain,
( spl23_313
| ~ spl23_110
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1129,f1123,f909,f2631]) ).
fof(f2631,plain,
( spl23_313
<=> ! [X6,X7] :
( ~ v1_xboole_0(u1_struct_0(X6))
| ~ r2_hidden(X7,sK9(X6))
| ~ sP0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_313])]) ).
fof(f909,plain,
( spl23_110
<=> ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_110])]) ).
fof(f1129,plain,
( ! [X6,X7] :
( ~ v1_xboole_0(u1_struct_0(X6))
| ~ r2_hidden(X7,sK9(X6))
| ~ sP0(X6) )
| ~ spl23_110
| ~ spl23_133 ),
inference(resolution,[],[f1124,f910]) ).
fof(f910,plain,
( ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP0(X0) )
| ~ spl23_110 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f2629,plain,
( spl23_312
| ~ spl23_174
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1845,f1826,f1776,f2626]) ).
fof(f2626,plain,
( spl23_312
<=> r2_hidden(sK7,k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_312])]) ).
fof(f1776,plain,
( spl23_174
<=> r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_174])]) ).
fof(f1826,plain,
( spl23_183
<=> u1_struct_0(sK6) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_183])]) ).
fof(f1845,plain,
( r2_hidden(sK7,k1_zfmisc_1(sK7))
| ~ spl23_174
| ~ spl23_183 ),
inference(superposition,[],[f1778,f1828]) ).
fof(f1828,plain,
( u1_struct_0(sK6) = sK7
| ~ spl23_183 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f1778,plain,
( r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_174 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f2624,plain,
( spl23_311
| ~ spl23_102
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1096,f957,f799,f2622]) ).
fof(f2622,plain,
( spl23_311
<=> ! [X22] :
( ~ sP5(X22)
| v1_xcmplx_0(sK13(X22))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_311])]) ).
fof(f799,plain,
( spl23_102
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_102])]) ).
fof(f1096,plain,
( ! [X22] :
( ~ sP5(X22)
| v1_xcmplx_0(sK13(X22))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X22))) )
| ~ spl23_102
| ~ spl23_122 ),
inference(resolution,[],[f958,f800]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v1_membered(X0) )
| ~ spl23_102 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f2620,plain,
( spl23_310
| ~ spl23_101
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1095,f957,f795,f2618]) ).
fof(f2618,plain,
( spl23_310
<=> ! [X21] :
( ~ sP5(X21)
| v1_xreal_0(sK13(X21))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_310])]) ).
fof(f795,plain,
( spl23_101
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_101])]) ).
fof(f1095,plain,
( ! [X21] :
( ~ sP5(X21)
| v1_xreal_0(sK13(X21))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X21))) )
| ~ spl23_101
| ~ spl23_122 ),
inference(resolution,[],[f958,f796]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v2_membered(X0) )
| ~ spl23_101 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f2616,plain,
( spl23_309
| ~ spl23_100
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1094,f957,f791,f2614]) ).
fof(f2614,plain,
( spl23_309
<=> ! [X20] :
( ~ sP5(X20)
| v1_xcmplx_0(sK13(X20))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_309])]) ).
fof(f791,plain,
( spl23_100
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_100])]) ).
fof(f1094,plain,
( ! [X20] :
( ~ sP5(X20)
| v1_xcmplx_0(sK13(X20))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X20))) )
| ~ spl23_100
| ~ spl23_122 ),
inference(resolution,[],[f958,f792]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v2_membered(X0) )
| ~ spl23_100 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f2612,plain,
( spl23_308
| ~ spl23_99
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1093,f957,f787,f2610]) ).
fof(f2610,plain,
( spl23_308
<=> ! [X19] :
( ~ sP5(X19)
| v1_rat_1(sK13(X19))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_308])]) ).
fof(f787,plain,
( spl23_99
<=> ! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_99])]) ).
fof(f1093,plain,
( ! [X19] :
( ~ sP5(X19)
| v1_rat_1(sK13(X19))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X19))) )
| ~ spl23_99
| ~ spl23_122 ),
inference(resolution,[],[f958,f788]) ).
fof(f788,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_rat_1(X1)
| ~ v3_membered(X0) )
| ~ spl23_99 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f2608,plain,
( spl23_307
| ~ spl23_98
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1092,f957,f783,f2606]) ).
fof(f2606,plain,
( spl23_307
<=> ! [X18] :
( ~ sP5(X18)
| v1_xreal_0(sK13(X18))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_307])]) ).
fof(f783,plain,
( spl23_98
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_98])]) ).
fof(f1092,plain,
( ! [X18] :
( ~ sP5(X18)
| v1_xreal_0(sK13(X18))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X18))) )
| ~ spl23_98
| ~ spl23_122 ),
inference(resolution,[],[f958,f784]) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v3_membered(X0) )
| ~ spl23_98 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f2604,plain,
( spl23_306
| ~ spl23_97
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1091,f957,f779,f2602]) ).
fof(f2602,plain,
( spl23_306
<=> ! [X17] :
( ~ sP5(X17)
| v1_xcmplx_0(sK13(X17))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_306])]) ).
fof(f779,plain,
( spl23_97
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_97])]) ).
fof(f1091,plain,
( ! [X17] :
( ~ sP5(X17)
| v1_xcmplx_0(sK13(X17))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X17))) )
| ~ spl23_97
| ~ spl23_122 ),
inference(resolution,[],[f958,f780]) ).
fof(f780,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v3_membered(X0) )
| ~ spl23_97 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f2600,plain,
( spl23_305
| ~ spl23_96
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1090,f957,f775,f2598]) ).
fof(f2598,plain,
( spl23_305
<=> ! [X16] :
( ~ sP5(X16)
| v1_rat_1(sK13(X16))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_305])]) ).
fof(f775,plain,
( spl23_96
<=> ! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_96])]) ).
fof(f1090,plain,
( ! [X16] :
( ~ sP5(X16)
| v1_rat_1(sK13(X16))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X16))) )
| ~ spl23_96
| ~ spl23_122 ),
inference(resolution,[],[f958,f776]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_rat_1(X1)
| ~ v4_membered(X0) )
| ~ spl23_96 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f2596,plain,
( spl23_304
| ~ spl23_95
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1089,f957,f771,f2594]) ).
fof(f2594,plain,
( spl23_304
<=> ! [X15] :
( ~ sP5(X15)
| v1_int_1(sK13(X15))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_304])]) ).
fof(f771,plain,
( spl23_95
<=> ! [X0,X1] :
( v1_int_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_95])]) ).
fof(f1089,plain,
( ! [X15] :
( ~ sP5(X15)
| v1_int_1(sK13(X15))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X15))) )
| ~ spl23_95
| ~ spl23_122 ),
inference(resolution,[],[f958,f772]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_int_1(X1)
| ~ v4_membered(X0) )
| ~ spl23_95 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f2592,plain,
( spl23_303
| ~ spl23_94
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1088,f957,f767,f2590]) ).
fof(f2590,plain,
( spl23_303
<=> ! [X14] :
( ~ sP5(X14)
| v1_xreal_0(sK13(X14))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_303])]) ).
fof(f767,plain,
( spl23_94
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_94])]) ).
fof(f1088,plain,
( ! [X14] :
( ~ sP5(X14)
| v1_xreal_0(sK13(X14))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X14))) )
| ~ spl23_94
| ~ spl23_122 ),
inference(resolution,[],[f958,f768]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v4_membered(X0) )
| ~ spl23_94 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f2588,plain,
( spl23_302
| ~ spl23_93
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1087,f957,f763,f2586]) ).
fof(f2586,plain,
( spl23_302
<=> ! [X13] :
( ~ sP5(X13)
| v1_xcmplx_0(sK13(X13))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_302])]) ).
fof(f763,plain,
( spl23_93
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_93])]) ).
fof(f1087,plain,
( ! [X13] :
( ~ sP5(X13)
| v1_xcmplx_0(sK13(X13))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X13))) )
| ~ spl23_93
| ~ spl23_122 ),
inference(resolution,[],[f958,f764]) ).
fof(f764,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v4_membered(X0) )
| ~ spl23_93 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f2584,plain,
( spl23_301
| ~ spl23_6
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1831,f1826,f361,f2581]) ).
fof(f361,plain,
( spl23_6
<=> v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f1831,plain,
( v1_tex_2(sK7,k1_zfmisc_1(sK7))
| ~ spl23_6
| ~ spl23_183 ),
inference(superposition,[],[f363,f1828]) ).
fof(f363,plain,
( v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f2579,plain,
( spl23_300
| ~ spl23_92
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1086,f957,f759,f2577]) ).
fof(f2577,plain,
( spl23_300
<=> ! [X12] :
( ~ sP5(X12)
| sP1(sK13(X12))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_300])]) ).
fof(f759,plain,
( spl23_92
<=> ! [X0,X1] :
( sP1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_92])]) ).
fof(f1086,plain,
( ! [X12] :
( ~ sP5(X12)
| sP1(sK13(X12))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X12))) )
| ~ spl23_92
| ~ spl23_122 ),
inference(resolution,[],[f958,f760]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| sP1(X1)
| ~ v5_membered(X0) )
| ~ spl23_92 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f2575,plain,
( spl23_299
| ~ spl23_102
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f996,f909,f799,f2573]) ).
fof(f2573,plain,
( spl23_299
<=> ! [X11] :
( ~ sP0(X11)
| v1_xcmplx_0(sK9(X11))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_299])]) ).
fof(f996,plain,
( ! [X11] :
( ~ sP0(X11)
| v1_xcmplx_0(sK9(X11))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X11))) )
| ~ spl23_102
| ~ spl23_110 ),
inference(resolution,[],[f910,f800]) ).
fof(f2571,plain,
( spl23_298
| ~ spl23_101
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f995,f909,f795,f2569]) ).
fof(f2569,plain,
( spl23_298
<=> ! [X10] :
( ~ sP0(X10)
| v1_xreal_0(sK9(X10))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_298])]) ).
fof(f995,plain,
( ! [X10] :
( ~ sP0(X10)
| v1_xreal_0(sK9(X10))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X10))) )
| ~ spl23_101
| ~ spl23_110 ),
inference(resolution,[],[f910,f796]) ).
fof(f2567,plain,
( spl23_297
| ~ spl23_100
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f994,f909,f791,f2565]) ).
fof(f2565,plain,
( spl23_297
<=> ! [X9] :
( ~ sP0(X9)
| v1_xcmplx_0(sK9(X9))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_297])]) ).
fof(f994,plain,
( ! [X9] :
( ~ sP0(X9)
| v1_xcmplx_0(sK9(X9))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X9))) )
| ~ spl23_100
| ~ spl23_110 ),
inference(resolution,[],[f910,f792]) ).
fof(f2563,plain,
( spl23_296
| ~ spl23_99
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f993,f909,f787,f2561]) ).
fof(f2561,plain,
( spl23_296
<=> ! [X8] :
( ~ sP0(X8)
| v1_rat_1(sK9(X8))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_296])]) ).
fof(f993,plain,
( ! [X8] :
( ~ sP0(X8)
| v1_rat_1(sK9(X8))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X8))) )
| ~ spl23_99
| ~ spl23_110 ),
inference(resolution,[],[f910,f788]) ).
fof(f2559,plain,
( spl23_295
| ~ spl23_98
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f992,f909,f783,f2557]) ).
fof(f2557,plain,
( spl23_295
<=> ! [X7] :
( ~ sP0(X7)
| v1_xreal_0(sK9(X7))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_295])]) ).
fof(f992,plain,
( ! [X7] :
( ~ sP0(X7)
| v1_xreal_0(sK9(X7))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X7))) )
| ~ spl23_98
| ~ spl23_110 ),
inference(resolution,[],[f910,f784]) ).
fof(f2555,plain,
( spl23_294
| ~ spl23_97
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f991,f909,f779,f2553]) ).
fof(f2553,plain,
( spl23_294
<=> ! [X6] :
( ~ sP0(X6)
| v1_xcmplx_0(sK9(X6))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_294])]) ).
fof(f991,plain,
( ! [X6] :
( ~ sP0(X6)
| v1_xcmplx_0(sK9(X6))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X6))) )
| ~ spl23_97
| ~ spl23_110 ),
inference(resolution,[],[f910,f780]) ).
fof(f2551,plain,
( spl23_293
| ~ spl23_96
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f990,f909,f775,f2549]) ).
fof(f2549,plain,
( spl23_293
<=> ! [X5] :
( ~ sP0(X5)
| v1_rat_1(sK9(X5))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_293])]) ).
fof(f990,plain,
( ! [X5] :
( ~ sP0(X5)
| v1_rat_1(sK9(X5))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X5))) )
| ~ spl23_96
| ~ spl23_110 ),
inference(resolution,[],[f910,f776]) ).
fof(f2547,plain,
( spl23_292
| ~ spl23_95
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f989,f909,f771,f2545]) ).
fof(f2545,plain,
( spl23_292
<=> ! [X4] :
( ~ sP0(X4)
| v1_int_1(sK9(X4))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_292])]) ).
fof(f989,plain,
( ! [X4] :
( ~ sP0(X4)
| v1_int_1(sK9(X4))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X4))) )
| ~ spl23_95
| ~ spl23_110 ),
inference(resolution,[],[f910,f772]) ).
fof(f2543,plain,
( spl23_291
| ~ spl23_94
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f988,f909,f767,f2541]) ).
fof(f2541,plain,
( spl23_291
<=> ! [X3] :
( ~ sP0(X3)
| v1_xreal_0(sK9(X3))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_291])]) ).
fof(f988,plain,
( ! [X3] :
( ~ sP0(X3)
| v1_xreal_0(sK9(X3))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X3))) )
| ~ spl23_94
| ~ spl23_110 ),
inference(resolution,[],[f910,f768]) ).
fof(f2539,plain,
( spl23_290
| ~ spl23_5
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1830,f1826,f356,f2536]) ).
fof(f356,plain,
( spl23_5
<=> m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f1830,plain,
( m1_subset_1(sK7,k1_zfmisc_1(sK7))
| ~ spl23_5
| ~ spl23_183 ),
inference(superposition,[],[f358,f1828]) ).
fof(f358,plain,
( m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f2534,plain,
( spl23_289
| ~ spl23_93
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f987,f909,f763,f2532]) ).
fof(f2532,plain,
( spl23_289
<=> ! [X2] :
( ~ sP0(X2)
| v1_xcmplx_0(sK9(X2))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_289])]) ).
fof(f987,plain,
( ! [X2] :
( ~ sP0(X2)
| v1_xcmplx_0(sK9(X2))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X2))) )
| ~ spl23_93
| ~ spl23_110 ),
inference(resolution,[],[f910,f764]) ).
fof(f2530,plain,
( spl23_288
| ~ spl23_92
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f986,f909,f759,f2528]) ).
fof(f2528,plain,
( spl23_288
<=> ! [X1] :
( ~ sP0(X1)
| sP1(sK9(X1))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_288])]) ).
fof(f986,plain,
( ! [X1] :
( ~ sP0(X1)
| sP1(sK9(X1))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl23_92
| ~ spl23_110 ),
inference(resolution,[],[f910,f760]) ).
fof(f2432,plain,
( spl23_287
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1286,f1279,f2430]) ).
fof(f1279,plain,
( spl23_142
<=> ! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_142])]) ).
fof(f1286,plain,
( ! [X0] :
( ~ v1_tex_2(X0,k1_zfmisc_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X0)) )
| ~ spl23_142 ),
inference(equality_resolution,[],[f1280]) ).
fof(f1280,plain,
( ! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl23_142 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f2428,plain,
( spl23_286
| ~ spl23_50
| ~ spl23_141 ),
inference(avatar_split_clause,[],[f1275,f1163,f555,f2426]) ).
fof(f2426,plain,
( spl23_286
<=> ! [X18,X19] :
( m1_subset_1(X18,X19)
| ~ r2_hidden(X18,sK17(k1_zfmisc_1(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_286])]) ).
fof(f555,plain,
( spl23_50
<=> ! [X0] : m1_subset_1(sK17(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
fof(f1275,plain,
( ! [X18,X19] :
( m1_subset_1(X18,X19)
| ~ r2_hidden(X18,sK17(k1_zfmisc_1(X19))) )
| ~ spl23_50
| ~ spl23_141 ),
inference(resolution,[],[f1164,f556]) ).
fof(f556,plain,
( ! [X0] : m1_subset_1(sK17(X0),X0)
| ~ spl23_50 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f2424,plain,
( spl23_285
| ~ spl23_106
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1126,f1123,f815,f2422]) ).
fof(f2422,plain,
( spl23_285
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_285])]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl23_106
| ~ spl23_133 ),
inference(resolution,[],[f1124,f816]) ).
fof(f2420,plain,
( spl23_284
| ~ spl23_111
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1075,f957,f913,f2418]) ).
fof(f2418,plain,
( spl23_284
<=> ! [X1] :
( ~ sP5(X1)
| sP2(sK13(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_284])]) ).
fof(f1075,plain,
( ! [X1] :
( ~ sP5(X1)
| sP2(sK13(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl23_111
| ~ spl23_122 ),
inference(resolution,[],[f958,f914]) ).
fof(f2416,plain,
( spl23_283
| ~ spl23_110
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f1000,f913,f909,f2414]) ).
fof(f2414,plain,
( spl23_283
<=> ! [X3] :
( sP2(sK9(X3))
| ~ v5_membered(u1_struct_0(X3))
| ~ sP0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_283])]) ).
fof(f1000,plain,
( ! [X3] :
( sP2(sK9(X3))
| ~ v5_membered(u1_struct_0(X3))
| ~ sP0(X3) )
| ~ spl23_110
| ~ spl23_111 ),
inference(resolution,[],[f914,f910]) ).
fof(f2412,plain,
( spl23_282
| ~ spl23_67
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f905,f819,f639,f2410]) ).
fof(f2410,plain,
( spl23_282
<=> ! [X4,X3] :
( sK13(X4) = X3
| ~ v1_xboole_0(X3)
| ~ sP5(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_282])]) ).
fof(f639,plain,
( spl23_67
<=> ! [X0] :
( v1_xboole_0(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_67])]) ).
fof(f819,plain,
( spl23_107
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_107])]) ).
fof(f905,plain,
( ! [X3,X4] :
( sK13(X4) = X3
| ~ v1_xboole_0(X3)
| ~ sP5(X4) )
| ~ spl23_67
| ~ spl23_107 ),
inference(resolution,[],[f820,f640]) ).
fof(f640,plain,
( ! [X0] :
( v1_xboole_0(sK13(X0))
| ~ sP5(X0) )
| ~ spl23_67 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl23_107 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f2408,plain,
( spl23_281
| ~ spl23_54
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f904,f819,f587,f2406]) ).
fof(f2406,plain,
( spl23_281
<=> ! [X2,X1] :
( sK9(X2) = X1
| ~ v1_xboole_0(X1)
| ~ sP0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_281])]) ).
fof(f587,plain,
( spl23_54
<=> ! [X0] :
( v1_xboole_0(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
fof(f904,plain,
( ! [X2,X1] :
( sK9(X2) = X1
| ~ v1_xboole_0(X1)
| ~ sP0(X2) )
| ~ spl23_54
| ~ spl23_107 ),
inference(resolution,[],[f820,f588]) ).
fof(f588,plain,
( ! [X0] :
( v1_xboole_0(sK9(X0))
| ~ sP0(X0) )
| ~ spl23_54 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f2404,plain,
( spl23_280
| ~ spl23_102
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f902,f815,f799,f2402]) ).
fof(f2402,plain,
( spl23_280
<=> ! [X22,X23] :
( ~ r1_tarski(X22,X23)
| v1_xcmplx_0(X22)
| ~ v1_membered(k1_zfmisc_1(X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_280])]) ).
fof(f902,plain,
( ! [X22,X23] :
( ~ r1_tarski(X22,X23)
| v1_xcmplx_0(X22)
| ~ v1_membered(k1_zfmisc_1(X23)) )
| ~ spl23_102
| ~ spl23_106 ),
inference(resolution,[],[f816,f800]) ).
fof(f2400,plain,
( spl23_279
| ~ spl23_101
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f901,f815,f795,f2398]) ).
fof(f2398,plain,
( spl23_279
<=> ! [X20,X21] :
( ~ r1_tarski(X20,X21)
| v1_xreal_0(X20)
| ~ v2_membered(k1_zfmisc_1(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_279])]) ).
fof(f901,plain,
( ! [X21,X20] :
( ~ r1_tarski(X20,X21)
| v1_xreal_0(X20)
| ~ v2_membered(k1_zfmisc_1(X21)) )
| ~ spl23_101
| ~ spl23_106 ),
inference(resolution,[],[f816,f796]) ).
fof(f2396,plain,
( spl23_278
| ~ spl23_100
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f900,f815,f791,f2394]) ).
fof(f2394,plain,
( spl23_278
<=> ! [X18,X19] :
( ~ r1_tarski(X18,X19)
| v1_xcmplx_0(X18)
| ~ v2_membered(k1_zfmisc_1(X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_278])]) ).
fof(f900,plain,
( ! [X18,X19] :
( ~ r1_tarski(X18,X19)
| v1_xcmplx_0(X18)
| ~ v2_membered(k1_zfmisc_1(X19)) )
| ~ spl23_100
| ~ spl23_106 ),
inference(resolution,[],[f816,f792]) ).
fof(f2392,plain,
( spl23_277
| ~ spl23_99
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f899,f815,f787,f2390]) ).
fof(f2390,plain,
( spl23_277
<=> ! [X16,X17] :
( ~ r1_tarski(X16,X17)
| v1_rat_1(X16)
| ~ v3_membered(k1_zfmisc_1(X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_277])]) ).
fof(f899,plain,
( ! [X16,X17] :
( ~ r1_tarski(X16,X17)
| v1_rat_1(X16)
| ~ v3_membered(k1_zfmisc_1(X17)) )
| ~ spl23_99
| ~ spl23_106 ),
inference(resolution,[],[f816,f788]) ).
fof(f2388,plain,
( spl23_276
| ~ spl23_98
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f898,f815,f783,f2386]) ).
fof(f2386,plain,
( spl23_276
<=> ! [X14,X15] :
( ~ r1_tarski(X14,X15)
| v1_xreal_0(X14)
| ~ v3_membered(k1_zfmisc_1(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_276])]) ).
fof(f898,plain,
( ! [X14,X15] :
( ~ r1_tarski(X14,X15)
| v1_xreal_0(X14)
| ~ v3_membered(k1_zfmisc_1(X15)) )
| ~ spl23_98
| ~ spl23_106 ),
inference(resolution,[],[f816,f784]) ).
fof(f2384,plain,
( spl23_275
| ~ spl23_97
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f897,f815,f779,f2382]) ).
fof(f2382,plain,
( spl23_275
<=> ! [X13,X12] :
( ~ r1_tarski(X12,X13)
| v1_xcmplx_0(X12)
| ~ v3_membered(k1_zfmisc_1(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_275])]) ).
fof(f897,plain,
( ! [X12,X13] :
( ~ r1_tarski(X12,X13)
| v1_xcmplx_0(X12)
| ~ v3_membered(k1_zfmisc_1(X13)) )
| ~ spl23_97
| ~ spl23_106 ),
inference(resolution,[],[f816,f780]) ).
fof(f2380,plain,
( spl23_274
| ~ spl23_96
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f896,f815,f775,f2378]) ).
fof(f2378,plain,
( spl23_274
<=> ! [X11,X10] :
( ~ r1_tarski(X10,X11)
| v1_rat_1(X10)
| ~ v4_membered(k1_zfmisc_1(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_274])]) ).
fof(f896,plain,
( ! [X10,X11] :
( ~ r1_tarski(X10,X11)
| v1_rat_1(X10)
| ~ v4_membered(k1_zfmisc_1(X11)) )
| ~ spl23_96
| ~ spl23_106 ),
inference(resolution,[],[f816,f776]) ).
fof(f2376,plain,
( spl23_273
| ~ spl23_95
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f895,f815,f771,f2374]) ).
fof(f2374,plain,
( spl23_273
<=> ! [X9,X8] :
( ~ r1_tarski(X8,X9)
| v1_int_1(X8)
| ~ v4_membered(k1_zfmisc_1(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_273])]) ).
fof(f895,plain,
( ! [X8,X9] :
( ~ r1_tarski(X8,X9)
| v1_int_1(X8)
| ~ v4_membered(k1_zfmisc_1(X9)) )
| ~ spl23_95
| ~ spl23_106 ),
inference(resolution,[],[f816,f772]) ).
fof(f2372,plain,
( spl23_272
| ~ spl23_94
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f894,f815,f767,f2370]) ).
fof(f2370,plain,
( spl23_272
<=> ! [X6,X7] :
( ~ r1_tarski(X6,X7)
| v1_xreal_0(X6)
| ~ v4_membered(k1_zfmisc_1(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_272])]) ).
fof(f894,plain,
( ! [X6,X7] :
( ~ r1_tarski(X6,X7)
| v1_xreal_0(X6)
| ~ v4_membered(k1_zfmisc_1(X7)) )
| ~ spl23_94
| ~ spl23_106 ),
inference(resolution,[],[f816,f768]) ).
fof(f2368,plain,
( spl23_271
| ~ spl23_93
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f893,f815,f763,f2366]) ).
fof(f2366,plain,
( spl23_271
<=> ! [X4,X5] :
( ~ r1_tarski(X4,X5)
| v1_xcmplx_0(X4)
| ~ v4_membered(k1_zfmisc_1(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_271])]) ).
fof(f893,plain,
( ! [X4,X5] :
( ~ r1_tarski(X4,X5)
| v1_xcmplx_0(X4)
| ~ v4_membered(k1_zfmisc_1(X5)) )
| ~ spl23_93
| ~ spl23_106 ),
inference(resolution,[],[f816,f764]) ).
fof(f2364,plain,
( spl23_270
| ~ spl23_92
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f892,f815,f759,f2362]) ).
fof(f2362,plain,
( spl23_270
<=> ! [X2,X3] :
( ~ r1_tarski(X2,X3)
| sP1(X2)
| ~ v5_membered(k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_270])]) ).
fof(f892,plain,
( ! [X2,X3] :
( ~ r1_tarski(X2,X3)
| sP1(X2)
| ~ v5_membered(k1_zfmisc_1(X3)) )
| ~ spl23_92
| ~ spl23_106 ),
inference(resolution,[],[f816,f760]) ).
fof(f2360,plain,
( spl23_269
| ~ spl23_90
| ~ spl23_102 ),
inference(avatar_split_clause,[],[f882,f799,f750,f2358]) ).
fof(f2358,plain,
( spl23_269
<=> ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v1_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_269])]) ).
fof(f882,plain,
( ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v1_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_102 ),
inference(resolution,[],[f800,f751]) ).
fof(f2356,plain,
( spl23_268
| ~ spl23_90
| ~ spl23_101 ),
inference(avatar_split_clause,[],[f877,f795,f750,f2354]) ).
fof(f2354,plain,
( spl23_268
<=> ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_268])]) ).
fof(f877,plain,
( ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_101 ),
inference(resolution,[],[f796,f751]) ).
fof(f2352,plain,
( spl23_267
| ~ spl23_90
| ~ spl23_100 ),
inference(avatar_split_clause,[],[f872,f791,f750,f2350]) ).
fof(f2350,plain,
( spl23_267
<=> ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_267])]) ).
fof(f872,plain,
( ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_100 ),
inference(resolution,[],[f792,f751]) ).
fof(f2348,plain,
( spl23_266
| ~ spl23_90
| ~ spl23_99 ),
inference(avatar_split_clause,[],[f867,f787,f750,f2346]) ).
fof(f2346,plain,
( spl23_266
<=> ! [X0] :
( v1_rat_1(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_266])]) ).
fof(f867,plain,
( ! [X0] :
( v1_rat_1(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_99 ),
inference(resolution,[],[f788,f751]) ).
fof(f2344,plain,
( spl23_265
| ~ spl23_90
| ~ spl23_98 ),
inference(avatar_split_clause,[],[f862,f783,f750,f2342]) ).
fof(f2342,plain,
( spl23_265
<=> ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_265])]) ).
fof(f862,plain,
( ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_98 ),
inference(resolution,[],[f784,f751]) ).
fof(f2340,plain,
( spl23_264
| ~ spl23_90
| ~ spl23_97 ),
inference(avatar_split_clause,[],[f857,f779,f750,f2338]) ).
fof(f2338,plain,
( spl23_264
<=> ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_264])]) ).
fof(f857,plain,
( ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_97 ),
inference(resolution,[],[f780,f751]) ).
fof(f2336,plain,
( spl23_263
| ~ spl23_90
| ~ spl23_96 ),
inference(avatar_split_clause,[],[f852,f775,f750,f2334]) ).
fof(f2334,plain,
( spl23_263
<=> ! [X0] :
( v1_rat_1(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_263])]) ).
fof(f852,plain,
( ! [X0] :
( v1_rat_1(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_96 ),
inference(resolution,[],[f776,f751]) ).
fof(f2332,plain,
( spl23_262
| ~ spl23_90
| ~ spl23_95 ),
inference(avatar_split_clause,[],[f847,f771,f750,f2330]) ).
fof(f2330,plain,
( spl23_262
<=> ! [X0] :
( v1_int_1(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_262])]) ).
fof(f847,plain,
( ! [X0] :
( v1_int_1(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_95 ),
inference(resolution,[],[f772,f751]) ).
fof(f2328,plain,
( spl23_261
| ~ spl23_90
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f833,f767,f750,f2326]) ).
fof(f2326,plain,
( spl23_261
<=> ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_261])]) ).
fof(f833,plain,
( ! [X0] :
( v1_xreal_0(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_94 ),
inference(resolution,[],[f768,f751]) ).
fof(f2324,plain,
( spl23_260
| ~ spl23_90
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f828,f763,f750,f2322]) ).
fof(f2322,plain,
( spl23_260
<=> ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_260])]) ).
fof(f828,plain,
( ! [X0] :
( v1_xcmplx_0(sK8(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_93 ),
inference(resolution,[],[f764,f751]) ).
fof(f2320,plain,
( spl23_259
| ~ spl23_90
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f823,f759,f750,f2318]) ).
fof(f2318,plain,
( spl23_259
<=> ! [X0] :
( sP1(sK8(X0))
| ~ v5_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_259])]) ).
fof(f823,plain,
( ! [X0] :
( sP1(sK8(X0))
| ~ v5_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_92 ),
inference(resolution,[],[f760,f751]) ).
fof(f2316,plain,
( ~ spl23_258
| spl23_168
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1842,f1826,f1733,f2313]) ).
fof(f2313,plain,
( spl23_258
<=> v1_membered(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_258])]) ).
fof(f1733,plain,
( spl23_168
<=> v1_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_168])]) ).
fof(f1842,plain,
( ~ v1_membered(k1_zfmisc_1(sK7))
| spl23_168
| ~ spl23_183 ),
inference(superposition,[],[f1735,f1828]) ).
fof(f1735,plain,
( ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| spl23_168 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f2275,plain,
( ~ spl23_257
| spl23_167
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1841,f1826,f1728,f2272]) ).
fof(f2272,plain,
( spl23_257
<=> v2_membered(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_257])]) ).
fof(f1728,plain,
( spl23_167
<=> v2_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_167])]) ).
fof(f1841,plain,
( ~ v2_membered(k1_zfmisc_1(sK7))
| spl23_167
| ~ spl23_183 ),
inference(superposition,[],[f1730,f1828]) ).
fof(f1730,plain,
( ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| spl23_167 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f2236,plain,
( ~ spl23_256
| spl23_166
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1840,f1826,f1723,f2233]) ).
fof(f2233,plain,
( spl23_256
<=> v3_membered(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_256])]) ).
fof(f1723,plain,
( spl23_166
<=> v3_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_166])]) ).
fof(f1840,plain,
( ~ v3_membered(k1_zfmisc_1(sK7))
| spl23_166
| ~ spl23_183 ),
inference(superposition,[],[f1725,f1828]) ).
fof(f1725,plain,
( ~ v3_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| spl23_166 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f2205,plain,
( ~ spl23_9
| spl23_255
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_144 ),
inference(avatar_split_clause,[],[f1327,f1301,f668,f611,f459,f2203,f375]) ).
fof(f2203,plain,
( spl23_255
<=> ! [X10] :
( v2_tops_1(k1_xboole_0,X10)
| ~ l1_pre_topc(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_255])]) ).
fof(f1301,plain,
( spl23_144
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_144])]) ).
fof(f1327,plain,
( ! [X10] :
( v2_tops_1(k1_xboole_0,X10)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X10) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_144 ),
inference(forward_demodulation,[],[f1326,f686]) ).
fof(f1326,plain,
( ! [X10] :
( ~ v1_xboole_0(k1_xboole_0)
| v2_tops_1(sK18(u1_struct_0(X10)),X10)
| ~ l1_pre_topc(X10) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_144 ),
inference(forward_demodulation,[],[f1322,f686]) ).
fof(f1322,plain,
( ! [X10] :
( ~ v1_xboole_0(sK18(u1_struct_0(X10)))
| v2_tops_1(sK18(u1_struct_0(X10)),X10)
| ~ l1_pre_topc(X10) )
| ~ spl23_74
| ~ spl23_144 ),
inference(resolution,[],[f1302,f669]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v2_tops_1(X1,X0)
| ~ l1_pre_topc(X0) )
| ~ spl23_144 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f2201,plain,
( spl23_254
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_143 ),
inference(avatar_split_clause,[],[f1299,f1283,f668,f611,f459,f2199]) ).
fof(f2199,plain,
( spl23_254
<=> ! [X10] :
( v1_tex_2(k1_xboole_0,k1_zfmisc_1(X10))
| k1_xboole_0 = X10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_254])]) ).
fof(f1283,plain,
( spl23_143
<=> ! [X0,X1] :
( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_143])]) ).
fof(f1299,plain,
( ! [X10] :
( v1_tex_2(k1_xboole_0,k1_zfmisc_1(X10))
| k1_xboole_0 = X10 )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_143 ),
inference(forward_demodulation,[],[f1298,f686]) ).
fof(f1298,plain,
( ! [X10] :
( k1_xboole_0 = X10
| v1_tex_2(sK18(X10),k1_zfmisc_1(X10)) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_143 ),
inference(forward_demodulation,[],[f1297,f686]) ).
fof(f1297,plain,
( ! [X10] :
( sK18(X10) = X10
| v1_tex_2(sK18(X10),k1_zfmisc_1(X10)) )
| ~ spl23_74
| ~ spl23_143 ),
inference(resolution,[],[f1284,f669]) ).
fof(f1284,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| X0 = X1
| v1_tex_2(X1,k1_zfmisc_1(X0)) )
| ~ spl23_143 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f2197,plain,
( ~ spl23_253
| spl23_164
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1839,f1826,f1714,f2194]) ).
fof(f2194,plain,
( spl23_253
<=> v4_membered(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_253])]) ).
fof(f1714,plain,
( spl23_164
<=> v4_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_164])]) ).
fof(f1839,plain,
( ~ v4_membered(k1_zfmisc_1(sK7))
| spl23_164
| ~ spl23_183 ),
inference(superposition,[],[f1716,f1828]) ).
fof(f1716,plain,
( ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| spl23_164 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f2192,plain,
( spl23_252
| ~ spl23_50
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1131,f1123,f555,f2190]) ).
fof(f2190,plain,
( spl23_252
<=> ! [X11,X10] :
( ~ v1_xboole_0(X10)
| ~ r2_hidden(X11,sK17(k1_zfmisc_1(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_252])]) ).
fof(f1131,plain,
( ! [X10,X11] :
( ~ v1_xboole_0(X10)
| ~ r2_hidden(X11,sK17(k1_zfmisc_1(X10))) )
| ~ spl23_50
| ~ spl23_133 ),
inference(resolution,[],[f1124,f556]) ).
fof(f2188,plain,
( spl23_251
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f1104,f982,f668,f611,f459,f2186]) ).
fof(f2186,plain,
( spl23_251
<=> ! [X6] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X6))
| v1_xboole_0(k1_zfmisc_1(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_251])]) ).
fof(f1104,plain,
( ! [X6] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X6))
| v1_xboole_0(k1_zfmisc_1(X6)) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_128 ),
inference(forward_demodulation,[],[f1103,f686]) ).
fof(f1103,plain,
( ! [X6] :
( v1_xboole_0(k1_zfmisc_1(X6))
| r2_hidden(sK18(X6),k1_zfmisc_1(X6)) )
| ~ spl23_74
| ~ spl23_128 ),
inference(resolution,[],[f983,f669]) ).
fof(f2184,plain,
( spl23_250
| ~ spl23_105
| ~ spl23_122 ),
inference(avatar_split_clause,[],[f1074,f957,f811,f2182]) ).
fof(f2182,plain,
( spl23_250
<=> ! [X0] :
( ~ sP5(X0)
| r1_tarski(sK13(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_250])]) ).
fof(f1074,plain,
( ! [X0] :
( ~ sP5(X0)
| r1_tarski(sK13(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_122 ),
inference(resolution,[],[f958,f812]) ).
fof(f2180,plain,
( spl23_249
| ~ spl23_90
| ~ spl23_121 ),
inference(avatar_split_clause,[],[f1069,f953,f750,f2178]) ).
fof(f2178,plain,
( spl23_249
<=> ! [X2] :
( v1_membered(sK8(X2))
| ~ v1_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_249])]) ).
fof(f1069,plain,
( ! [X2] :
( v1_membered(sK8(X2))
| ~ v1_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_121 ),
inference(resolution,[],[f954,f751]) ).
fof(f2176,plain,
( spl23_248
| ~ spl23_106
| ~ spl23_121 ),
inference(avatar_split_clause,[],[f1067,f953,f815,f2174]) ).
fof(f2174,plain,
( spl23_248
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_248])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_121 ),
inference(resolution,[],[f954,f816]) ).
fof(f2172,plain,
( spl23_247
| ~ spl23_90
| ~ spl23_120 ),
inference(avatar_split_clause,[],[f1062,f949,f750,f2170]) ).
fof(f2170,plain,
( spl23_247
<=> ! [X2] :
( v2_membered(sK8(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_247])]) ).
fof(f1062,plain,
( ! [X2] :
( v2_membered(sK8(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_120 ),
inference(resolution,[],[f950,f751]) ).
fof(f2168,plain,
( spl23_246
| ~ spl23_106
| ~ spl23_120 ),
inference(avatar_split_clause,[],[f1060,f949,f815,f2166]) ).
fof(f2166,plain,
( spl23_246
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_246])]) ).
fof(f1060,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_120 ),
inference(resolution,[],[f950,f816]) ).
fof(f2164,plain,
( spl23_245
| ~ spl23_90
| ~ spl23_119 ),
inference(avatar_split_clause,[],[f1055,f945,f750,f2162]) ).
fof(f2162,plain,
( spl23_245
<=> ! [X2] :
( v1_membered(sK8(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_245])]) ).
fof(f1055,plain,
( ! [X2] :
( v1_membered(sK8(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_119 ),
inference(resolution,[],[f946,f751]) ).
fof(f2160,plain,
( spl23_244
| ~ spl23_106
| ~ spl23_119 ),
inference(avatar_split_clause,[],[f1053,f945,f815,f2158]) ).
fof(f2158,plain,
( spl23_244
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_244])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_119 ),
inference(resolution,[],[f946,f816]) ).
fof(f2156,plain,
( spl23_243
| ~ spl23_90
| ~ spl23_118 ),
inference(avatar_split_clause,[],[f1048,f941,f750,f2154]) ).
fof(f2154,plain,
( spl23_243
<=> ! [X2] :
( v3_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_243])]) ).
fof(f1048,plain,
( ! [X2] :
( v3_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_118 ),
inference(resolution,[],[f942,f751]) ).
fof(f2152,plain,
( ~ spl23_242
| spl23_108
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1832,f1826,f838,f2149]) ).
fof(f2149,plain,
( spl23_242
<=> v5_membered(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_242])]) ).
fof(f838,plain,
( spl23_108
<=> v5_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_108])]) ).
fof(f1832,plain,
( ~ v5_membered(k1_zfmisc_1(sK7))
| spl23_108
| ~ spl23_183 ),
inference(superposition,[],[f840,f1828]) ).
fof(f840,plain,
( ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| spl23_108 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f2147,plain,
( spl23_241
| ~ spl23_106
| ~ spl23_118 ),
inference(avatar_split_clause,[],[f1046,f941,f815,f2145]) ).
fof(f2145,plain,
( spl23_241
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_241])]) ).
fof(f1046,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_118 ),
inference(resolution,[],[f942,f816]) ).
fof(f2143,plain,
( spl23_240
| ~ spl23_90
| ~ spl23_117 ),
inference(avatar_split_clause,[],[f1041,f937,f750,f2141]) ).
fof(f2141,plain,
( spl23_240
<=> ! [X2] :
( v2_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_240])]) ).
fof(f1041,plain,
( ! [X2] :
( v2_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_117 ),
inference(resolution,[],[f938,f751]) ).
fof(f2139,plain,
( spl23_239
| ~ spl23_106
| ~ spl23_117 ),
inference(avatar_split_clause,[],[f1039,f937,f815,f2137]) ).
fof(f2137,plain,
( spl23_239
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_239])]) ).
fof(f1039,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_117 ),
inference(resolution,[],[f938,f816]) ).
fof(f2135,plain,
( spl23_238
| ~ spl23_90
| ~ spl23_116 ),
inference(avatar_split_clause,[],[f1034,f933,f750,f2133]) ).
fof(f2133,plain,
( spl23_238
<=> ! [X2] :
( v1_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_238])]) ).
fof(f1034,plain,
( ! [X2] :
( v1_membered(sK8(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_116 ),
inference(resolution,[],[f934,f751]) ).
fof(f2131,plain,
( spl23_237
| ~ spl23_106
| ~ spl23_116 ),
inference(avatar_split_clause,[],[f1032,f933,f815,f2129]) ).
fof(f2129,plain,
( spl23_237
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_237])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_116 ),
inference(resolution,[],[f934,f816]) ).
fof(f2127,plain,
( spl23_236
| ~ spl23_90
| ~ spl23_115 ),
inference(avatar_split_clause,[],[f1027,f929,f750,f2125]) ).
fof(f2125,plain,
( spl23_236
<=> ! [X2] :
( v4_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_236])]) ).
fof(f1027,plain,
( ! [X2] :
( v4_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_115 ),
inference(resolution,[],[f930,f751]) ).
fof(f2123,plain,
( spl23_235
| ~ spl23_106
| ~ spl23_115 ),
inference(avatar_split_clause,[],[f1025,f929,f815,f2121]) ).
fof(f2121,plain,
( spl23_235
<=> ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_235])]) ).
fof(f1025,plain,
( ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_115 ),
inference(resolution,[],[f930,f816]) ).
fof(f2119,plain,
( spl23_234
| ~ spl23_90
| ~ spl23_114 ),
inference(avatar_split_clause,[],[f1020,f925,f750,f2117]) ).
fof(f2117,plain,
( spl23_234
<=> ! [X2] :
( v3_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_234])]) ).
fof(f1020,plain,
( ! [X2] :
( v3_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_114 ),
inference(resolution,[],[f926,f751]) ).
fof(f2115,plain,
( spl23_233
| ~ spl23_106
| ~ spl23_114 ),
inference(avatar_split_clause,[],[f1018,f925,f815,f2113]) ).
fof(f2113,plain,
( spl23_233
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_233])]) ).
fof(f1018,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_114 ),
inference(resolution,[],[f926,f816]) ).
fof(f2111,plain,
( spl23_232
| ~ spl23_90
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f1013,f921,f750,f2109]) ).
fof(f2109,plain,
( spl23_232
<=> ! [X2] :
( v2_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_232])]) ).
fof(f1013,plain,
( ! [X2] :
( v2_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_113 ),
inference(resolution,[],[f922,f751]) ).
fof(f2107,plain,
( spl23_231
| ~ spl23_106
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f1011,f921,f815,f2105]) ).
fof(f2105,plain,
( spl23_231
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_231])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_113 ),
inference(resolution,[],[f922,f816]) ).
fof(f2103,plain,
( spl23_230
| ~ spl23_90
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f1006,f917,f750,f2101]) ).
fof(f2101,plain,
( spl23_230
<=> ! [X2] :
( v1_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_230])]) ).
fof(f1006,plain,
( ! [X2] :
( v1_membered(sK8(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_112 ),
inference(resolution,[],[f918,f751]) ).
fof(f2099,plain,
( spl23_229
| ~ spl23_106
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f1004,f917,f815,f2097]) ).
fof(f2097,plain,
( spl23_229
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_229])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_112 ),
inference(resolution,[],[f918,f816]) ).
fof(f2095,plain,
( spl23_228
| ~ spl23_90
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f999,f913,f750,f2093]) ).
fof(f2093,plain,
( spl23_228
<=> ! [X2] :
( sP2(sK8(X2))
| ~ v5_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_228])]) ).
fof(f999,plain,
( ! [X2] :
( sP2(sK8(X2))
| ~ v5_membered(X2)
| v1_xboole_0(X2) )
| ~ spl23_90
| ~ spl23_111 ),
inference(resolution,[],[f914,f751]) ).
fof(f2091,plain,
( spl23_227
| ~ spl23_106
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f997,f913,f815,f2089]) ).
fof(f2089,plain,
( spl23_227
<=> ! [X0,X1] :
( sP2(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_227])]) ).
fof(f997,plain,
( ! [X0,X1] :
( sP2(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl23_106
| ~ spl23_111 ),
inference(resolution,[],[f914,f816]) ).
fof(f2087,plain,
( spl23_226
| ~ spl23_105
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f985,f909,f811,f2085]) ).
fof(f2085,plain,
( spl23_226
<=> ! [X0] :
( ~ sP0(X0)
| r1_tarski(sK9(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_226])]) ).
fof(f985,plain,
( ! [X0] :
( ~ sP0(X0)
| r1_tarski(sK9(X0),u1_struct_0(X0)) )
| ~ spl23_105
| ~ spl23_110 ),
inference(resolution,[],[f910,f812]) ).
fof(f2065,plain,
( spl23_225
| ~ spl23_50
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f1102,f982,f555,f2063]) ).
fof(f2063,plain,
( spl23_225
<=> ! [X5] :
( v1_xboole_0(X5)
| r2_hidden(sK17(X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_225])]) ).
fof(f1102,plain,
( ! [X5] :
( v1_xboole_0(X5)
| r2_hidden(sK17(X5),X5) )
| ~ spl23_50
| ~ spl23_128 ),
inference(resolution,[],[f983,f556]) ).
fof(f2061,plain,
( spl23_224
| ~ spl23_50
| ~ spl23_121 ),
inference(avatar_split_clause,[],[f1071,f953,f555,f2059]) ).
fof(f2059,plain,
( spl23_224
<=> ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v1_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_224])]) ).
fof(f1071,plain,
( ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v1_membered(X4) )
| ~ spl23_50
| ~ spl23_121 ),
inference(resolution,[],[f954,f556]) ).
fof(f2057,plain,
( spl23_223
| ~ spl23_50
| ~ spl23_120 ),
inference(avatar_split_clause,[],[f1064,f949,f555,f2055]) ).
fof(f2055,plain,
( spl23_223
<=> ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_223])]) ).
fof(f1064,plain,
( ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) )
| ~ spl23_50
| ~ spl23_120 ),
inference(resolution,[],[f950,f556]) ).
fof(f2053,plain,
( spl23_222
| ~ spl23_50
| ~ spl23_119 ),
inference(avatar_split_clause,[],[f1057,f945,f555,f2051]) ).
fof(f2051,plain,
( spl23_222
<=> ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_222])]) ).
fof(f1057,plain,
( ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) )
| ~ spl23_50
| ~ spl23_119 ),
inference(resolution,[],[f946,f556]) ).
fof(f2049,plain,
( spl23_221
| ~ spl23_50
| ~ spl23_118 ),
inference(avatar_split_clause,[],[f1050,f941,f555,f2047]) ).
fof(f2047,plain,
( spl23_221
<=> ! [X4] :
( v3_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_221])]) ).
fof(f1050,plain,
( ! [X4] :
( v3_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl23_50
| ~ spl23_118 ),
inference(resolution,[],[f942,f556]) ).
fof(f2045,plain,
( spl23_220
| ~ spl23_50
| ~ spl23_117 ),
inference(avatar_split_clause,[],[f1043,f937,f555,f2043]) ).
fof(f2043,plain,
( spl23_220
<=> ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_220])]) ).
fof(f1043,plain,
( ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl23_50
| ~ spl23_117 ),
inference(resolution,[],[f938,f556]) ).
fof(f2041,plain,
( spl23_219
| ~ spl23_50
| ~ spl23_116 ),
inference(avatar_split_clause,[],[f1036,f933,f555,f2039]) ).
fof(f2039,plain,
( spl23_219
<=> ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_219])]) ).
fof(f1036,plain,
( ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl23_50
| ~ spl23_116 ),
inference(resolution,[],[f934,f556]) ).
fof(f2037,plain,
( spl23_218
| ~ spl23_50
| ~ spl23_115 ),
inference(avatar_split_clause,[],[f1029,f929,f555,f2035]) ).
fof(f2035,plain,
( spl23_218
<=> ! [X4] :
( v4_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_218])]) ).
fof(f1029,plain,
( ! [X4] :
( v4_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl23_50
| ~ spl23_115 ),
inference(resolution,[],[f930,f556]) ).
fof(f2033,plain,
( spl23_217
| ~ spl23_50
| ~ spl23_114 ),
inference(avatar_split_clause,[],[f1022,f925,f555,f2031]) ).
fof(f2031,plain,
( spl23_217
<=> ! [X4] :
( v3_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_217])]) ).
fof(f1022,plain,
( ! [X4] :
( v3_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl23_50
| ~ spl23_114 ),
inference(resolution,[],[f926,f556]) ).
fof(f2029,plain,
( spl23_216
| ~ spl23_50
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f1015,f921,f555,f2027]) ).
fof(f2027,plain,
( spl23_216
<=> ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_216])]) ).
fof(f1015,plain,
( ! [X4] :
( v2_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl23_50
| ~ spl23_113 ),
inference(resolution,[],[f922,f556]) ).
fof(f2025,plain,
( spl23_215
| ~ spl23_50
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f1008,f917,f555,f2023]) ).
fof(f2023,plain,
( spl23_215
<=> ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_215])]) ).
fof(f1008,plain,
( ! [X4] :
( v1_membered(sK17(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl23_50
| ~ spl23_112 ),
inference(resolution,[],[f918,f556]) ).
fof(f2021,plain,
( spl23_214
| ~ spl23_50
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f1001,f913,f555,f2019]) ).
fof(f2019,plain,
( spl23_214
<=> ! [X4] :
( sP2(sK17(k1_zfmisc_1(X4)))
| ~ v5_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_214])]) ).
fof(f1001,plain,
( ! [X4] :
( sP2(sK17(k1_zfmisc_1(X4)))
| ~ v5_membered(X4) )
| ~ spl23_50
| ~ spl23_111 ),
inference(resolution,[],[f914,f556]) ).
fof(f2017,plain,
( spl23_213
| ~ spl23_90
| ~ spl23_105 ),
inference(avatar_split_clause,[],[f887,f811,f750,f2015]) ).
fof(f2015,plain,
( spl23_213
<=> ! [X0] :
( r1_tarski(sK8(X0),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_213])]) ).
fof(f887,plain,
( ! [X0] :
( r1_tarski(sK8(X0),X0)
| v1_xboole_0(X0) )
| ~ spl23_90
| ~ spl23_105 ),
inference(resolution,[],[f812,f751]) ).
fof(f2013,plain,
( spl23_212
| ~ spl23_60
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f688,f639,f611,f2011]) ).
fof(f688,plain,
( ! [X0] :
( ~ sP5(X0)
| k1_xboole_0 = sK13(X0) )
| ~ spl23_60
| ~ spl23_67 ),
inference(resolution,[],[f640,f612]) ).
fof(f2009,plain,
( spl23_211
| ~ spl23_54
| ~ spl23_60 ),
inference(avatar_split_clause,[],[f687,f611,f587,f2007]) ).
fof(f687,plain,
( ! [X1] :
( k1_xboole_0 = sK9(X1)
| ~ sP0(X1) )
| ~ spl23_54
| ~ spl23_60 ),
inference(resolution,[],[f612,f588]) ).
fof(f2005,plain,
( ~ spl23_210
| spl23_162
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1837,f1826,f1704,f2002]) ).
fof(f2002,plain,
( spl23_210
<=> v2_membered(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_210])]) ).
fof(f1704,plain,
( spl23_162
<=> v2_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_162])]) ).
fof(f1837,plain,
( ~ v2_membered(sK7)
| spl23_162
| ~ spl23_183 ),
inference(superposition,[],[f1706,f1828]) ).
fof(f1706,plain,
( ~ v2_membered(u1_struct_0(sK6))
| spl23_162 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1985,plain,
( ~ spl23_209
| spl23_161
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1836,f1826,f1699,f1982]) ).
fof(f1982,plain,
( spl23_209
<=> v3_membered(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_209])]) ).
fof(f1699,plain,
( spl23_161
<=> v3_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_161])]) ).
fof(f1836,plain,
( ~ v3_membered(sK7)
| spl23_161
| ~ spl23_183 ),
inference(superposition,[],[f1701,f1828]) ).
fof(f1701,plain,
( ~ v3_membered(u1_struct_0(sK6))
| spl23_161 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1980,plain,
( spl23_207
| spl23_208
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1133,f1123,f668,f611,f459,f1978,f1975]) ).
fof(f1975,plain,
( spl23_207
<=> ! [X12] : ~ v1_xboole_0(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_207])]) ).
fof(f1978,plain,
( spl23_208
<=> ! [X13] : ~ r2_hidden(X13,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_208])]) ).
fof(f1133,plain,
( ! [X12,X13] :
( ~ r2_hidden(X13,k1_xboole_0)
| ~ v1_xboole_0(X12) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_133 ),
inference(forward_demodulation,[],[f1132,f686]) ).
fof(f1132,plain,
( ! [X12,X13] :
( ~ v1_xboole_0(X12)
| ~ r2_hidden(X13,sK18(X12)) )
| ~ spl23_74
| ~ spl23_133 ),
inference(resolution,[],[f1124,f669]) ).
fof(f1973,plain,
( spl23_206
| ~ spl23_50
| ~ spl23_105 ),
inference(avatar_split_clause,[],[f888,f811,f555,f1971]) ).
fof(f1971,plain,
( spl23_206
<=> ! [X1] : r1_tarski(sK17(k1_zfmisc_1(X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_206])]) ).
fof(f888,plain,
( ! [X1] : r1_tarski(sK17(k1_zfmisc_1(X1)),X1)
| ~ spl23_50
| ~ spl23_105 ),
inference(resolution,[],[f812,f556]) ).
fof(f1969,plain,
( spl23_205
| ~ spl23_50
| ~ spl23_102 ),
inference(avatar_split_clause,[],[f883,f799,f555,f1967]) ).
fof(f1967,plain,
( spl23_205
<=> ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v1_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_205])]) ).
fof(f883,plain,
( ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v1_membered(X1) )
| ~ spl23_50
| ~ spl23_102 ),
inference(resolution,[],[f800,f556]) ).
fof(f1965,plain,
( spl23_204
| ~ spl23_50
| ~ spl23_101 ),
inference(avatar_split_clause,[],[f878,f795,f555,f1963]) ).
fof(f1963,plain,
( spl23_204
<=> ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v2_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_204])]) ).
fof(f878,plain,
( ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v2_membered(X1) )
| ~ spl23_50
| ~ spl23_101 ),
inference(resolution,[],[f796,f556]) ).
fof(f1961,plain,
( spl23_203
| ~ spl23_50
| ~ spl23_100 ),
inference(avatar_split_clause,[],[f873,f791,f555,f1959]) ).
fof(f1959,plain,
( spl23_203
<=> ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v2_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_203])]) ).
fof(f873,plain,
( ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v2_membered(X1) )
| ~ spl23_50
| ~ spl23_100 ),
inference(resolution,[],[f792,f556]) ).
fof(f1957,plain,
( spl23_202
| ~ spl23_50
| ~ spl23_99 ),
inference(avatar_split_clause,[],[f868,f787,f555,f1955]) ).
fof(f1955,plain,
( spl23_202
<=> ! [X1] :
( v1_rat_1(sK17(X1))
| ~ v3_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_202])]) ).
fof(f868,plain,
( ! [X1] :
( v1_rat_1(sK17(X1))
| ~ v3_membered(X1) )
| ~ spl23_50
| ~ spl23_99 ),
inference(resolution,[],[f788,f556]) ).
fof(f1953,plain,
( spl23_201
| ~ spl23_50
| ~ spl23_98 ),
inference(avatar_split_clause,[],[f863,f783,f555,f1951]) ).
fof(f1951,plain,
( spl23_201
<=> ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v3_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_201])]) ).
fof(f863,plain,
( ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v3_membered(X1) )
| ~ spl23_50
| ~ spl23_98 ),
inference(resolution,[],[f784,f556]) ).
fof(f1949,plain,
( spl23_200
| ~ spl23_50
| ~ spl23_97 ),
inference(avatar_split_clause,[],[f858,f779,f555,f1947]) ).
fof(f1947,plain,
( spl23_200
<=> ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v3_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_200])]) ).
fof(f858,plain,
( ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v3_membered(X1) )
| ~ spl23_50
| ~ spl23_97 ),
inference(resolution,[],[f780,f556]) ).
fof(f1945,plain,
( spl23_199
| ~ spl23_50
| ~ spl23_96 ),
inference(avatar_split_clause,[],[f853,f775,f555,f1943]) ).
fof(f1943,plain,
( spl23_199
<=> ! [X1] :
( v1_rat_1(sK17(X1))
| ~ v4_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_199])]) ).
fof(f853,plain,
( ! [X1] :
( v1_rat_1(sK17(X1))
| ~ v4_membered(X1) )
| ~ spl23_50
| ~ spl23_96 ),
inference(resolution,[],[f776,f556]) ).
fof(f1941,plain,
( ~ spl23_198
| spl23_147
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1835,f1826,f1358,f1938]) ).
fof(f1938,plain,
( spl23_198
<=> v4_membered(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_198])]) ).
fof(f1358,plain,
( spl23_147
<=> v4_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_147])]) ).
fof(f1835,plain,
( ~ v4_membered(sK7)
| spl23_147
| ~ spl23_183 ),
inference(superposition,[],[f1360,f1828]) ).
fof(f1360,plain,
( ~ v4_membered(u1_struct_0(sK6))
| spl23_147 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1936,plain,
( spl23_197
| ~ spl23_50
| ~ spl23_95 ),
inference(avatar_split_clause,[],[f848,f771,f555,f1934]) ).
fof(f1934,plain,
( spl23_197
<=> ! [X1] :
( v1_int_1(sK17(X1))
| ~ v4_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_197])]) ).
fof(f848,plain,
( ! [X1] :
( v1_int_1(sK17(X1))
| ~ v4_membered(X1) )
| ~ spl23_50
| ~ spl23_95 ),
inference(resolution,[],[f772,f556]) ).
fof(f1932,plain,
( spl23_196
| ~ spl23_50
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f834,f767,f555,f1930]) ).
fof(f1930,plain,
( spl23_196
<=> ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v4_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_196])]) ).
fof(f834,plain,
( ! [X1] :
( v1_xreal_0(sK17(X1))
| ~ v4_membered(X1) )
| ~ spl23_50
| ~ spl23_94 ),
inference(resolution,[],[f768,f556]) ).
fof(f1928,plain,
( spl23_195
| ~ spl23_50
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f829,f763,f555,f1926]) ).
fof(f1926,plain,
( spl23_195
<=> ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v4_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_195])]) ).
fof(f829,plain,
( ! [X1] :
( v1_xcmplx_0(sK17(X1))
| ~ v4_membered(X1) )
| ~ spl23_50
| ~ spl23_93 ),
inference(resolution,[],[f764,f556]) ).
fof(f1919,plain,
( spl23_193
| spl23_194
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f826,f759,f668,f611,f459,f1916,f1913]) ).
fof(f1913,plain,
( spl23_193
<=> ! [X2] : ~ v5_membered(k1_zfmisc_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_193])]) ).
fof(f1916,plain,
( spl23_194
<=> sP1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_194])]) ).
fof(f826,plain,
( ! [X2] :
( sP1(k1_xboole_0)
| ~ v5_membered(k1_zfmisc_1(X2)) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_92 ),
inference(forward_demodulation,[],[f825,f686]) ).
fof(f825,plain,
( ! [X2] :
( sP1(sK18(X2))
| ~ v5_membered(k1_zfmisc_1(X2)) )
| ~ spl23_74
| ~ spl23_92 ),
inference(resolution,[],[f760,f669]) ).
fof(f1911,plain,
( spl23_192
| ~ spl23_50
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f824,f759,f555,f1909]) ).
fof(f1909,plain,
( spl23_192
<=> ! [X1] :
( sP1(sK17(X1))
| ~ v5_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_192])]) ).
fof(f824,plain,
( ! [X1] :
( sP1(sK17(X1))
| ~ v5_membered(X1) )
| ~ spl23_50
| ~ spl23_92 ),
inference(resolution,[],[f760,f556]) ).
fof(f1907,plain,
( spl23_191
| ~ spl23_46
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f689,f639,f539,f1905]) ).
fof(f1905,plain,
( spl23_191
<=> ! [X1] :
( ~ sP5(X1)
| sP3(sK13(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_191])]) ).
fof(f539,plain,
( spl23_46
<=> ! [X0] :
( sP3(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
fof(f689,plain,
( ! [X1] :
( ~ sP5(X1)
| sP3(sK13(X1)) )
| ~ spl23_46
| ~ spl23_67 ),
inference(resolution,[],[f640,f540]) ).
fof(f540,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sP3(X0) )
| ~ spl23_46 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f1903,plain,
( spl23_190
| ~ spl23_46
| ~ spl23_54 ),
inference(avatar_split_clause,[],[f675,f587,f539,f1901]) ).
fof(f1901,plain,
( spl23_190
<=> ! [X0] :
( ~ sP0(X0)
| sP3(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_190])]) ).
fof(f675,plain,
( ! [X0] :
( ~ sP0(X0)
| sP3(sK9(X0)) )
| ~ spl23_46
| ~ spl23_54 ),
inference(resolution,[],[f588,f540]) ).
fof(f1892,plain,
( ~ spl23_189
| spl23_130
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1834,f1826,f1110,f1889]) ).
fof(f1889,plain,
( spl23_189
<=> v5_membered(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_189])]) ).
fof(f1110,plain,
( spl23_130
<=> v5_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_130])]) ).
fof(f1834,plain,
( ~ v5_membered(sK7)
| spl23_130
| ~ spl23_183 ),
inference(superposition,[],[f1112,f1828]) ).
fof(f1112,plain,
( ~ v5_membered(u1_struct_0(sK6))
| spl23_130 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1887,plain,
( spl23_187
| spl23_188
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f1003,f913,f668,f611,f459,f1884,f1881]) ).
fof(f1881,plain,
( spl23_187
<=> ! [X5] : ~ v5_membered(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_187])]) ).
fof(f1884,plain,
( spl23_188
<=> sP2(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_188])]) ).
fof(f1003,plain,
( ! [X5] :
( sP2(k1_xboole_0)
| ~ v5_membered(X5) )
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_111 ),
inference(forward_demodulation,[],[f1002,f686]) ).
fof(f1002,plain,
( ! [X5] :
( sP2(sK18(X5))
| ~ v5_membered(X5) )
| ~ spl23_74
| ~ spl23_111 ),
inference(resolution,[],[f914,f669]) ).
fof(f1879,plain,
( ~ spl23_185
| spl23_186
| ~ spl23_15
| ~ spl23_87 ),
inference(avatar_split_clause,[],[f748,f736,f405,f1876,f1872]) ).
fof(f1872,plain,
( spl23_185
<=> v2_pre_topc(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_185])]) ).
fof(f1876,plain,
( spl23_186
<=> sP5(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_186])]) ).
fof(f405,plain,
( spl23_15
<=> l1_pre_topc(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f736,plain,
( spl23_87
<=> ! [X0] :
( sP5(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_87])]) ).
fof(f748,plain,
( sP5(sK19)
| ~ v2_pre_topc(sK19)
| ~ spl23_15
| ~ spl23_87 ),
inference(resolution,[],[f737,f407]) ).
fof(f407,plain,
( l1_pre_topc(sK19)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f737,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP5(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_87 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1870,plain,
( spl23_184
| ~ spl23_26
| ~ spl23_60 ),
inference(avatar_split_clause,[],[f686,f611,f459,f1868]) ).
fof(f1868,plain,
( spl23_184
<=> ! [X0] : k1_xboole_0 = sK18(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_184])]) ).
fof(f1829,plain,
( spl23_183
| ~ spl23_181
| ~ spl23_182 ),
inference(avatar_split_clause,[],[f1824,f1820,f1812,f1826]) ).
fof(f1812,plain,
( spl23_181
<=> sK7 = k3_tex_4(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_181])]) ).
fof(f1820,plain,
( spl23_182
<=> u1_struct_0(sK6) = k3_tex_4(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_182])]) ).
fof(f1824,plain,
( u1_struct_0(sK6) = sK7
| ~ spl23_181
| ~ spl23_182 ),
inference(forward_demodulation,[],[f1822,f1814]) ).
fof(f1814,plain,
( sK7 = k3_tex_4(sK6,sK7)
| ~ spl23_181 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f1822,plain,
( u1_struct_0(sK6) = k3_tex_4(sK6,sK7)
| ~ spl23_182 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1823,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| spl23_182
| ~ spl23_4
| ~ spl23_5
| ~ spl23_159 ),
inference(avatar_split_clause,[],[f1673,f1668,f356,f351,f1820,f346,f341,f336]) ).
fof(f336,plain,
( spl23_1
<=> v3_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f341,plain,
( spl23_2
<=> v2_pre_topc(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f346,plain,
( spl23_3
<=> l1_pre_topc(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f351,plain,
( spl23_4
<=> v1_tsp_2(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f1668,plain,
( spl23_159
<=> ! [X0,X1] :
( u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_159])]) ).
fof(f1673,plain,
( ~ v1_tsp_2(sK7,sK6)
| u1_struct_0(sK6) = k3_tex_4(sK6,sK7)
| ~ l1_pre_topc(sK6)
| ~ v2_pre_topc(sK6)
| v3_struct_0(sK6)
| ~ spl23_5
| ~ spl23_159 ),
inference(resolution,[],[f1669,f358]) ).
fof(f1669,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl23_159 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1816,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| spl23_181
| ~ spl23_7
| ~ spl23_5
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1623,f1614,f356,f366,f1812,f346,f341,f336]) ).
fof(f366,plain,
( spl23_7
<=> v3_pre_topc(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f1614,plain,
( spl23_157
<=> ! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_157])]) ).
fof(f1623,plain,
( ~ v3_pre_topc(sK7,sK6)
| sK7 = k3_tex_4(sK6,sK7)
| ~ l1_pre_topc(sK6)
| ~ v2_pre_topc(sK6)
| v3_struct_0(sK6)
| ~ spl23_5
| ~ spl23_157 ),
inference(resolution,[],[f1615,f358]) ).
fof(f1615,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl23_157 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1815,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| spl23_181
| ~ spl23_8
| ~ spl23_5
| ~ spl23_158 ),
inference(avatar_split_clause,[],[f1646,f1618,f356,f370,f1812,f346,f341,f336]) ).
fof(f370,plain,
( spl23_8
<=> v4_pre_topc(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f1618,plain,
( spl23_158
<=> ! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_158])]) ).
fof(f1646,plain,
( ~ v4_pre_topc(sK7,sK6)
| sK7 = k3_tex_4(sK6,sK7)
| ~ l1_pre_topc(sK6)
| ~ v2_pre_topc(sK6)
| v3_struct_0(sK6)
| ~ spl23_5
| ~ spl23_158 ),
inference(resolution,[],[f1619,f358]) ).
fof(f1619,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl23_158 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1810,plain,
( spl23_180
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_105 ),
inference(avatar_split_clause,[],[f890,f811,f668,f611,f459,f1808]) ).
fof(f1808,plain,
( spl23_180
<=> ! [X2] : r1_tarski(k1_xboole_0,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_180])]) ).
fof(f890,plain,
( ! [X2] : r1_tarski(k1_xboole_0,X2)
| ~ spl23_26
| ~ spl23_60
| ~ spl23_74
| ~ spl23_105 ),
inference(forward_demodulation,[],[f889,f686]) ).
fof(f889,plain,
( ! [X2] : r1_tarski(sK18(X2),X2)
| ~ spl23_74
| ~ spl23_105 ),
inference(resolution,[],[f812,f669]) ).
fof(f1805,plain,
( spl23_179
| ~ spl23_26
| ~ spl23_46 ),
inference(avatar_split_clause,[],[f575,f539,f459,f1803]) ).
fof(f1803,plain,
( spl23_179
<=> ! [X0] : sP3(sK18(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_179])]) ).
fof(f575,plain,
( ! [X0] : sP3(sK18(X0))
| ~ spl23_26
| ~ spl23_46 ),
inference(resolution,[],[f540,f460]) ).
fof(f1801,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| spl23_178
| ~ spl23_4
| ~ spl23_5
| ~ spl23_154 ),
inference(avatar_split_clause,[],[f1538,f1533,f356,f351,f1798,f346,f341,f336]) ).
fof(f1798,plain,
( spl23_178
<=> v1_tsp_1(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_178])]) ).
fof(f1533,plain,
( spl23_154
<=> ! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_154])]) ).
fof(f1538,plain,
( ~ v1_tsp_2(sK7,sK6)
| v1_tsp_1(sK7,sK6)
| ~ l1_pre_topc(sK6)
| ~ v2_pre_topc(sK6)
| v3_struct_0(sK6)
| ~ spl23_5
| ~ spl23_154 ),
inference(resolution,[],[f1534,f358]) ).
fof(f1534,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl23_154 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1796,plain,
( ~ spl23_177
| ~ spl23_88
| ~ spl23_174 ),
inference(avatar_split_clause,[],[f1785,f1776,f740,f1793]) ).
fof(f1793,plain,
( spl23_177
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_177])]) ).
fof(f740,plain,
( spl23_88
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_88])]) ).
fof(f1785,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK7)
| ~ spl23_88
| ~ spl23_174 ),
inference(resolution,[],[f1778,f741]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl23_88 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f1791,plain,
( ~ spl23_2
| ~ spl23_3
| spl23_172
| ~ spl23_176
| ~ spl23_5
| ~ spl23_152 ),
inference(avatar_split_clause,[],[f1472,f1468,f356,f1788,f1750,f346,f341]) ).
fof(f1750,plain,
( spl23_172
<=> v2_tops_1(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_172])]) ).
fof(f1788,plain,
( spl23_176
<=> v3_tops_1(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_176])]) ).
fof(f1468,plain,
( spl23_152
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_152])]) ).
fof(f1472,plain,
( ~ v3_tops_1(sK7,sK6)
| v2_tops_1(sK7,sK6)
| ~ l1_pre_topc(sK6)
| ~ v2_pre_topc(sK6)
| ~ spl23_5
| ~ spl23_152 ),
inference(resolution,[],[f1469,f358]) ).
fof(f1469,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| v2_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl23_152 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1783,plain,
( spl23_174
| spl23_175
| ~ spl23_5
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f1098,f982,f356,f1780,f1776]) ).
fof(f1780,plain,
( spl23_175
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_175])]) ).
fof(f1098,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_128 ),
inference(resolution,[],[f983,f358]) ).
fof(f1757,plain,
( ~ spl23_3
| spl23_172
| ~ spl23_173
| ~ spl23_5
| ~ spl23_144 ),
inference(avatar_split_clause,[],[f1313,f1301,f356,f1754,f1750,f346]) ).
fof(f1754,plain,
( spl23_173
<=> v1_xboole_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_173])]) ).
fof(f1313,plain,
( ~ v1_xboole_0(sK7)
| v2_tops_1(sK7,sK6)
| ~ l1_pre_topc(sK6)
| ~ spl23_5
| ~ spl23_144 ),
inference(resolution,[],[f1302,f358]) ).
fof(f1748,plain,
( spl23_171
| ~ spl23_5
| ~ spl23_141 ),
inference(avatar_split_clause,[],[f1267,f1163,f356,f1746]) ).
fof(f1746,plain,
( spl23_171
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(sK6))
| ~ r2_hidden(X3,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_171])]) ).
fof(f1267,plain,
( ! [X3] :
( m1_subset_1(X3,u1_struct_0(sK6))
| ~ r2_hidden(X3,sK7) )
| ~ spl23_5
| ~ spl23_141 ),
inference(resolution,[],[f1164,f358]) ).
fof(f1744,plain,
( spl23_169
| ~ spl23_170
| ~ spl23_5
| ~ spl23_133 ),
inference(avatar_split_clause,[],[f1127,f1123,f356,f1741,f1738]) ).
fof(f1738,plain,
( spl23_169
<=> ! [X3] : ~ r2_hidden(X3,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_169])]) ).
fof(f1741,plain,
( spl23_170
<=> v1_xboole_0(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_170])]) ).
fof(f1127,plain,
( ! [X3] :
( ~ v1_xboole_0(u1_struct_0(sK6))
| ~ r2_hidden(X3,sK7) )
| ~ spl23_5
| ~ spl23_133 ),
inference(resolution,[],[f1124,f358]) ).
fof(f1736,plain,
( ~ spl23_168
| spl23_165
| ~ spl23_5
| ~ spl23_102 ),
inference(avatar_split_clause,[],[f881,f799,f356,f1718,f1733]) ).
fof(f1718,plain,
( spl23_165
<=> v1_xcmplx_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_165])]) ).
fof(f881,plain,
( v1_xcmplx_0(sK7)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_102 ),
inference(resolution,[],[f800,f358]) ).
fof(f1731,plain,
( ~ spl23_167
| spl23_165
| ~ spl23_5
| ~ spl23_100 ),
inference(avatar_split_clause,[],[f871,f791,f356,f1718,f1728]) ).
fof(f871,plain,
( v1_xcmplx_0(sK7)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_100 ),
inference(resolution,[],[f792,f358]) ).
fof(f1726,plain,
( ~ spl23_166
| spl23_165
| ~ spl23_5
| ~ spl23_97 ),
inference(avatar_split_clause,[],[f856,f779,f356,f1718,f1723]) ).
fof(f856,plain,
( v1_xcmplx_0(sK7)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_97 ),
inference(resolution,[],[f780,f358]) ).
fof(f1721,plain,
( ~ spl23_164
| spl23_165
| ~ spl23_5
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f827,f763,f356,f1718,f1714]) ).
fof(f827,plain,
( v1_xcmplx_0(sK7)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_93 ),
inference(resolution,[],[f764,f358]) ).
fof(f1712,plain,
( ~ spl23_163
| spl23_148
| ~ spl23_5
| ~ spl23_121 ),
inference(avatar_split_clause,[],[f1068,f953,f356,f1362,f1709]) ).
fof(f1709,plain,
( spl23_163
<=> v1_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_163])]) ).
fof(f1362,plain,
( spl23_148
<=> v1_membered(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_148])]) ).
fof(f1068,plain,
( v1_membered(sK7)
| ~ v1_membered(u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_121 ),
inference(resolution,[],[f954,f358]) ).
fof(f1707,plain,
( ~ spl23_162
| spl23_148
| ~ spl23_5
| ~ spl23_119 ),
inference(avatar_split_clause,[],[f1054,f945,f356,f1362,f1704]) ).
fof(f1054,plain,
( v1_membered(sK7)
| ~ v2_membered(u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_119 ),
inference(resolution,[],[f946,f358]) ).
fof(f1702,plain,
( ~ spl23_161
| spl23_148
| ~ spl23_5
| ~ spl23_116 ),
inference(avatar_split_clause,[],[f1033,f933,f356,f1362,f1699]) ).
fof(f1033,plain,
( v1_membered(sK7)
| ~ v3_membered(u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_116 ),
inference(resolution,[],[f934,f358]) ).
fof(f1697,plain,
spl23_160,
inference(avatar_split_clause,[],[f262,f1695]) ).
fof(f1695,plain,
( spl23_160
<=> ! [X0,X1] :
( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_160])]) ).
fof(f262,plain,
! [X0,X1] :
( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',d5_tsp_2) ).
fof(f1670,plain,
spl23_159,
inference(avatar_split_clause,[],[f261,f1668]) ).
fof(f261,plain,
! [X0,X1] :
( u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1620,plain,
spl23_158,
inference(avatar_split_clause,[],[f259,f1618]) ).
fof(f259,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t62_tex_4) ).
fof(f1616,plain,
spl23_157,
inference(avatar_split_clause,[],[f258,f1614]) ).
fof(f258,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t58_tex_4) ).
fof(f1566,plain,
spl23_156,
inference(avatar_split_clause,[],[f289,f1564]) ).
fof(f1564,plain,
( spl23_156
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_156])]) ).
fof(f289,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) )
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) )
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v2_tops_1(X1,X0)
& v4_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc5_tops_1) ).
fof(f1562,plain,
spl23_155,
inference(avatar_split_clause,[],[f287,f1560]) ).
fof(f1560,plain,
( spl23_155
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_155])]) ).
fof(f287,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f108,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_tops_1(X1,X0)
& v3_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc6_tops_1) ).
fof(f1535,plain,
spl23_154,
inference(avatar_split_clause,[],[f260,f1533]) ).
fof(f260,plain,
! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1494,plain,
spl23_153,
inference(avatar_split_clause,[],[f318,f1492]) ).
fof(f1492,plain,
( spl23_153
<=> ! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_153])]) ).
fof(f318,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',dt_k3_tex_4) ).
fof(f1470,plain,
spl23_152,
inference(avatar_split_clause,[],[f276,f1468]) ).
fof(f276,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_tops_1(X1,X0)
=> v2_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc4_tops_1) ).
fof(f1406,plain,
spl23_151,
inference(avatar_split_clause,[],[f275,f1404]) ).
fof(f275,plain,
! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc1_tops_1) ).
fof(f1402,plain,
spl23_150,
inference(avatar_split_clause,[],[f274,f1400]) ).
fof(f274,plain,
! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f1398,plain,
spl23_149,
inference(avatar_split_clause,[],[f273,f1396]) ).
fof(f273,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> v3_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc3_tops_1) ).
fof(f1365,plain,
( ~ spl23_147
| spl23_148
| ~ spl23_5
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f1005,f917,f356,f1362,f1358]) ).
fof(f1005,plain,
( v1_membered(sK7)
| ~ v4_membered(u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_112 ),
inference(resolution,[],[f918,f358]) ).
fof(f1311,plain,
spl23_146,
inference(avatar_split_clause,[],[f267,f1309]) ).
fof(f1309,plain,
( spl23_146
<=> ! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_146])]) ).
fof(f267,plain,
! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( v4_pre_topc(sK11(X0),X0)
& ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f96,f160]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK11(X0),X0)
& ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc7_pre_topc) ).
fof(f1307,plain,
spl23_145,
inference(avatar_split_clause,[],[f263,f1305]) ).
fof(f1305,plain,
( spl23_145
<=> ! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_145])]) ).
fof(f263,plain,
! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( v4_pre_topc(sK10(X0),X0)
& v3_pre_topc(sK10(X0),X0)
& ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f94,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK10(X0),X0)
& v3_pre_topc(sK10(X0),X0)
& ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc3_tops_1) ).
fof(f1303,plain,
spl23_144,
inference(avatar_split_clause,[],[f205,f1301]) ).
fof(f205,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> v2_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc2_tops_1) ).
fof(f1285,plain,
spl23_143,
inference(avatar_split_clause,[],[f317,f1283]) ).
fof(f317,plain,
! [X0,X1] :
( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1 )
& ( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X0 != X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X0 != X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t5_tex_2) ).
fof(f1281,plain,
spl23_142,
inference(avatar_split_clause,[],[f316,f1279]) ).
fof(f316,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1165,plain,
spl23_141,
inference(avatar_split_clause,[],[f323,f1163]) ).
fof(f323,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t4_subset) ).
fof(f1161,plain,
spl23_140,
inference(avatar_split_clause,[],[f307,f1159]) ).
fof(f307,plain,
! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( v4_pre_topc(sK16(X0),X0)
& m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f118,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK16(X0),X0)
& m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc6_pre_topc) ).
fof(f1157,plain,
spl23_139,
inference(avatar_split_clause,[],[f304,f1155]) ).
fof(f304,plain,
! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( v4_pre_topc(sK15(X0),X0)
& v3_pre_topc(sK15(X0),X0)
& m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f116,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK15(X0),X0)
& v3_pre_topc(sK15(X0),X0)
& m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc2_tops_1) ).
fof(f1153,plain,
spl23_138,
inference(avatar_split_clause,[],[f302,f1151]) ).
fof(f302,plain,
! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( v3_pre_topc(sK14(X0),X0)
& m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f114,f168]) ).
fof(f168,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_pre_topc(sK14(X0),X0)
& m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc1_tops_1) ).
fof(f1149,plain,
spl23_137,
inference(avatar_split_clause,[],[f271,f1147]) ).
fof(f271,plain,
! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( ~ v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f100,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc5_struct_0) ).
fof(f1145,plain,
spl23_136,
inference(avatar_split_clause,[],[f269,f1143]) ).
fof(f1143,plain,
( spl23_136
<=> ! [X0] :
( v4_pre_topc(sK11(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_136])]) ).
fof(f269,plain,
! [X0] :
( v4_pre_topc(sK11(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1141,plain,
spl23_135,
inference(avatar_split_clause,[],[f266,f1139]) ).
fof(f1139,plain,
( spl23_135
<=> ! [X0] :
( v4_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_135])]) ).
fof(f266,plain,
! [X0] :
( v4_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1137,plain,
spl23_134,
inference(avatar_split_clause,[],[f265,f1135]) ).
fof(f1135,plain,
( spl23_134
<=> ! [X0] :
( v3_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_134])]) ).
fof(f265,plain,
! [X0] :
( v3_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1125,plain,
spl23_133,
inference(avatar_split_clause,[],[f324,f1123]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t5_subset) ).
fof(f1121,plain,
spl23_132,
inference(avatar_split_clause,[],[f268,f1119]) ).
fof(f1119,plain,
( spl23_132
<=> ! [X0] :
( ~ v1_xboole_0(sK11(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_132])]) ).
fof(f268,plain,
! [X0] :
( ~ v1_xboole_0(sK11(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1117,plain,
( ~ spl23_130
| spl23_131
| ~ spl23_5
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f998,f913,f356,f1114,f1110]) ).
fof(f1114,plain,
( spl23_131
<=> sP2(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_131])]) ).
fof(f998,plain,
( sP2(sK7)
| ~ v5_membered(u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_111 ),
inference(resolution,[],[f914,f358]) ).
fof(f1108,plain,
spl23_129,
inference(avatar_split_clause,[],[f264,f1106]) ).
fof(f1106,plain,
( spl23_129
<=> ! [X0] :
( ~ v1_xboole_0(sK10(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_129])]) ).
fof(f264,plain,
! [X0] :
( ~ v1_xboole_0(sK10(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f984,plain,
spl23_128,
inference(avatar_split_clause,[],[f315,f982]) ).
fof(f315,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t2_subset) ).
fof(f980,plain,
( spl23_127
| ~ spl23_5
| ~ spl23_105 ),
inference(avatar_split_clause,[],[f886,f811,f356,f977]) ).
fof(f977,plain,
( spl23_127
<=> r1_tarski(sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_127])]) ).
fof(f886,plain,
( r1_tarski(sK7,u1_struct_0(sK6))
| ~ spl23_5
| ~ spl23_105 ),
inference(resolution,[],[f812,f358]) ).
fof(f975,plain,
spl23_126,
inference(avatar_split_clause,[],[f308,f973]) ).
fof(f973,plain,
( spl23_126
<=> ! [X0] :
( v4_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_126])]) ).
fof(f308,plain,
! [X0] :
( v4_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f971,plain,
spl23_125,
inference(avatar_split_clause,[],[f306,f969]) ).
fof(f969,plain,
( spl23_125
<=> ! [X0] :
( v4_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_125])]) ).
fof(f306,plain,
! [X0] :
( v4_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f967,plain,
spl23_124,
inference(avatar_split_clause,[],[f305,f965]) ).
fof(f965,plain,
( spl23_124
<=> ! [X0] :
( v3_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_124])]) ).
fof(f305,plain,
! [X0] :
( v3_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f963,plain,
spl23_123,
inference(avatar_split_clause,[],[f303,f961]) ).
fof(f961,plain,
( spl23_123
<=> ! [X0] :
( v3_pre_topc(sK14(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_123])]) ).
fof(f303,plain,
! [X0] :
( v3_pre_topc(sK14(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f959,plain,
spl23_122,
inference(avatar_split_clause,[],[f290,f957]) ).
fof(f290,plain,
! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( v3_tops_1(sK13(X0),X0)
& v2_tops_1(sK13(X0),X0)
& v5_membered(sK13(X0))
& v4_membered(sK13(X0))
& v3_membered(sK13(X0))
& v2_membered(sK13(X0))
& v1_membered(sK13(X0))
& v4_pre_topc(sK13(X0),X0)
& v3_pre_topc(sK13(X0),X0)
& v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_tops_1(sK13(X0),X0)
& v2_tops_1(sK13(X0),X0)
& v5_membered(sK13(X0))
& v4_membered(sK13(X0))
& v3_membered(sK13(X0))
& v2_membered(sK13(X0))
& v1_membered(sK13(X0))
& v4_pre_topc(sK13(X0),X0)
& v3_pre_topc(sK13(X0),X0)
& v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f955,plain,
spl23_121,
inference(avatar_split_clause,[],[f257,f953]) ).
fof(f257,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> v1_membered(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc16_membered) ).
fof(f951,plain,
spl23_120,
inference(avatar_split_clause,[],[f255,f949]) ).
fof(f255,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc17_membered) ).
fof(f947,plain,
spl23_119,
inference(avatar_split_clause,[],[f254,f945]) ).
fof(f254,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f943,plain,
spl23_118,
inference(avatar_split_clause,[],[f250,f941]) ).
fof(f250,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc18_membered) ).
fof(f939,plain,
spl23_117,
inference(avatar_split_clause,[],[f249,f937]) ).
fof(f249,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f935,plain,
spl23_116,
inference(avatar_split_clause,[],[f248,f933]) ).
fof(f248,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f931,plain,
spl23_115,
inference(avatar_split_clause,[],[f243,f929]) ).
fof(f243,plain,
! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc19_membered) ).
fof(f927,plain,
spl23_114,
inference(avatar_split_clause,[],[f242,f925]) ).
fof(f242,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f923,plain,
spl23_113,
inference(avatar_split_clause,[],[f241,f921]) ).
fof(f241,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f919,plain,
spl23_112,
inference(avatar_split_clause,[],[f240,f917]) ).
fof(f240,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f915,plain,
spl23_111,
inference(avatar_split_clause,[],[f227,f913]) ).
fof(f227,plain,
! [X0,X1] :
( sP2(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( sP2(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f73,f135]) ).
fof(f135,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc20_membered) ).
fof(f911,plain,
spl23_110,
inference(avatar_split_clause,[],[f206,f909]) ).
fof(f206,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( v2_tops_1(sK9(X0),X0)
& v5_membered(sK9(X0))
& v4_membered(sK9(X0))
& v3_membered(sK9(X0))
& v2_membered(sK9(X0))
& v1_membered(sK9(X0))
& v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f148,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v2_tops_1(sK9(X0),X0)
& v5_membered(sK9(X0))
& v4_membered(sK9(X0))
& v3_membered(sK9(X0))
& v2_membered(sK9(X0))
& v1_membered(sK9(X0))
& v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f845,plain,
( ~ spl23_108
| spl23_109
| ~ spl23_5
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f822,f759,f356,f842,f838]) ).
fof(f842,plain,
( spl23_109
<=> sP1(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_109])]) ).
fof(f822,plain,
( sP1(sK7)
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl23_5
| ~ spl23_92 ),
inference(resolution,[],[f760,f358]) ).
fof(f821,plain,
spl23_107,
inference(avatar_split_clause,[],[f321,f819]) ).
fof(f321,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t8_boole) ).
fof(f817,plain,
spl23_106,
inference(avatar_split_clause,[],[f320,f815]) ).
fof(f320,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t3_subset) ).
fof(f813,plain,
spl23_105,
inference(avatar_split_clause,[],[f319,f811]) ).
fof(f319,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f809,plain,
spl23_104,
inference(avatar_split_clause,[],[f272,f807]) ).
fof(f807,plain,
( spl23_104
<=> ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_104])]) ).
fof(f272,plain,
! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f805,plain,
spl23_103,
inference(avatar_split_clause,[],[f270,f803]) ).
fof(f803,plain,
( spl23_103
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_103])]) ).
fof(f270,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',fc1_struct_0) ).
fof(f801,plain,
spl23_102,
inference(avatar_split_clause,[],[f256,f799]) ).
fof(f256,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc10_membered) ).
fof(f797,plain,
spl23_101,
inference(avatar_split_clause,[],[f253,f795]) ).
fof(f253,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc11_membered) ).
fof(f793,plain,
spl23_100,
inference(avatar_split_clause,[],[f252,f791]) ).
fof(f252,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f789,plain,
spl23_99,
inference(avatar_split_clause,[],[f247,f787]) ).
fof(f247,plain,
! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc12_membered) ).
fof(f785,plain,
spl23_98,
inference(avatar_split_clause,[],[f246,f783]) ).
fof(f246,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f781,plain,
spl23_97,
inference(avatar_split_clause,[],[f245,f779]) ).
fof(f245,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f777,plain,
spl23_96,
inference(avatar_split_clause,[],[f239,f775]) ).
fof(f239,plain,
! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc13_membered) ).
fof(f773,plain,
spl23_95,
inference(avatar_split_clause,[],[f238,f771]) ).
fof(f238,plain,
! [X0,X1] :
( v1_int_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f769,plain,
spl23_94,
inference(avatar_split_clause,[],[f237,f767]) ).
fof(f237,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f765,plain,
spl23_93,
inference(avatar_split_clause,[],[f236,f763]) ).
fof(f236,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f761,plain,
spl23_92,
inference(avatar_split_clause,[],[f221,f759]) ).
fof(f221,plain,
! [X0,X1] :
( sP1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f72,f133]) ).
fof(f133,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc14_membered) ).
fof(f757,plain,
( ~ spl23_2
| spl23_91
| ~ spl23_3
| ~ spl23_87 ),
inference(avatar_split_clause,[],[f747,f736,f346,f754,f341]) ).
fof(f747,plain,
( sP5(sK6)
| ~ v2_pre_topc(sK6)
| ~ spl23_3
| ~ spl23_87 ),
inference(resolution,[],[f737,f348]) ).
fof(f348,plain,
( l1_pre_topc(sK6)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f752,plain,
spl23_90,
inference(avatar_split_clause,[],[f202,f750]) ).
fof(f202,plain,
! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f66,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc1_subset_1) ).
fof(f746,plain,
spl23_89,
inference(avatar_split_clause,[],[f314,f744]) ).
fof(f744,plain,
( spl23_89
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_89])]) ).
fof(f314,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t1_subset) ).
fof(f742,plain,
spl23_88,
inference(avatar_split_clause,[],[f313,f740]) ).
fof(f313,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',antisymmetry_r2_hidden) ).
fof(f738,plain,
spl23_87,
inference(avatar_split_clause,[],[f301,f736]) ).
fof(f301,plain,
! [X0] :
( sP5(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( sP5(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f112,f141]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc5_tops_1) ).
fof(f734,plain,
spl23_86,
inference(avatar_split_clause,[],[f300,f732]) ).
fof(f732,plain,
( spl23_86
<=> ! [X0] :
( v3_tops_1(sK13(X0),X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_86])]) ).
fof(f300,plain,
! [X0] :
( v3_tops_1(sK13(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f730,plain,
spl23_85,
inference(avatar_split_clause,[],[f299,f728]) ).
fof(f728,plain,
( spl23_85
<=> ! [X0] :
( v2_tops_1(sK13(X0),X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_85])]) ).
fof(f299,plain,
! [X0] :
( v2_tops_1(sK13(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f726,plain,
spl23_84,
inference(avatar_split_clause,[],[f293,f724]) ).
fof(f724,plain,
( spl23_84
<=> ! [X0] :
( v4_pre_topc(sK13(X0),X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_84])]) ).
fof(f293,plain,
! [X0] :
( v4_pre_topc(sK13(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f722,plain,
spl23_83,
inference(avatar_split_clause,[],[f292,f720]) ).
fof(f720,plain,
( spl23_83
<=> ! [X0] :
( v3_pre_topc(sK13(X0),X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_83])]) ).
fof(f292,plain,
! [X0] :
( v3_pre_topc(sK13(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f718,plain,
spl23_82,
inference(avatar_split_clause,[],[f286,f716]) ).
fof(f716,plain,
( spl23_82
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_82])]) ).
fof(f286,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f139]) ).
fof(f714,plain,
spl23_81,
inference(avatar_split_clause,[],[f285,f712]) ).
fof(f712,plain,
( spl23_81
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_81])]) ).
fof(f285,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f710,plain,
spl23_80,
inference(avatar_split_clause,[],[f279,f708]) ).
fof(f708,plain,
( spl23_80
<=> ! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_80])]) ).
fof(f279,plain,
! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f706,plain,
spl23_79,
inference(avatar_split_clause,[],[f278,f704]) ).
fof(f704,plain,
( spl23_79
<=> ! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_79])]) ).
fof(f278,plain,
! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f702,plain,
spl23_78,
inference(avatar_split_clause,[],[f213,f700]) ).
fof(f700,plain,
( spl23_78
<=> ! [X0] :
( v2_tops_1(sK9(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_78])]) ).
fof(f213,plain,
! [X0] :
( v2_tops_1(sK9(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f695,plain,
( spl23_77
| ~ spl23_9
| ~ spl23_46 ),
inference(avatar_split_clause,[],[f574,f539,f375,f692]) ).
fof(f692,plain,
( spl23_77
<=> sP3(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_77])]) ).
fof(f574,plain,
( sP3(k1_xboole_0)
| ~ spl23_9
| ~ spl23_46 ),
inference(resolution,[],[f540,f377]) ).
fof(f377,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f684,plain,
( spl23_76
| ~ spl23_15
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f561,f471,f405,f681]) ).
fof(f681,plain,
( spl23_76
<=> sP0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_76])]) ).
fof(f471,plain,
( spl23_29
<=> ! [X0] :
( sP0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f561,plain,
( sP0(sK19)
| ~ spl23_15
| ~ spl23_29 ),
inference(resolution,[],[f472,f407]) ).
fof(f472,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP0(X0) )
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f674,plain,
spl23_75,
inference(avatar_split_clause,[],[f322,f672]) ).
fof(f672,plain,
( spl23_75
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_75])]) ).
fof(f322,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t7_boole) ).
fof(f670,plain,
spl23_74,
inference(avatar_split_clause,[],[f310,f668]) ).
fof(f310,plain,
! [X0] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f42,f176]) ).
fof(f176,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc2_subset_1) ).
fof(f666,plain,
spl23_73,
inference(avatar_split_clause,[],[f298,f664]) ).
fof(f664,plain,
( spl23_73
<=> ! [X0] :
( v5_membered(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_73])]) ).
fof(f298,plain,
! [X0] :
( v5_membered(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f662,plain,
( spl23_72
| ~ spl23_15
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f559,f467,f405,f659]) ).
fof(f659,plain,
( spl23_72
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_72])]) ).
fof(f467,plain,
( spl23_28
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f559,plain,
( l1_struct_0(sK19)
| ~ spl23_15
| ~ spl23_28 ),
inference(resolution,[],[f468,f407]) ).
fof(f468,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) )
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f657,plain,
spl23_71,
inference(avatar_split_clause,[],[f297,f655]) ).
fof(f655,plain,
( spl23_71
<=> ! [X0] :
( v4_membered(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_71])]) ).
fof(f297,plain,
! [X0] :
( v4_membered(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f653,plain,
spl23_70,
inference(avatar_split_clause,[],[f296,f651]) ).
fof(f651,plain,
( spl23_70
<=> ! [X0] :
( v3_membered(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_70])]) ).
fof(f296,plain,
! [X0] :
( v3_membered(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f649,plain,
spl23_69,
inference(avatar_split_clause,[],[f295,f647]) ).
fof(f647,plain,
( spl23_69
<=> ! [X0] :
( v2_membered(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_69])]) ).
fof(f295,plain,
! [X0] :
( v2_membered(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f645,plain,
spl23_68,
inference(avatar_split_clause,[],[f294,f643]) ).
fof(f643,plain,
( spl23_68
<=> ! [X0] :
( v1_membered(sK13(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_68])]) ).
fof(f294,plain,
! [X0] :
( v1_membered(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f641,plain,
spl23_67,
inference(avatar_split_clause,[],[f291,f639]) ).
fof(f291,plain,
! [X0] :
( v1_xboole_0(sK13(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f637,plain,
spl23_66,
inference(avatar_split_clause,[],[f284,f635]) ).
fof(f635,plain,
( spl23_66
<=> ! [X0,X1] :
( v5_membered(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_66])]) ).
fof(f284,plain,
! [X0,X1] :
( v5_membered(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f633,plain,
spl23_65,
inference(avatar_split_clause,[],[f283,f631]) ).
fof(f631,plain,
( spl23_65
<=> ! [X0,X1] :
( v4_membered(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_65])]) ).
fof(f283,plain,
! [X0,X1] :
( v4_membered(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f629,plain,
spl23_64,
inference(avatar_split_clause,[],[f282,f627]) ).
fof(f627,plain,
( spl23_64
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_64])]) ).
fof(f282,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f625,plain,
spl23_63,
inference(avatar_split_clause,[],[f281,f623]) ).
fof(f623,plain,
( spl23_63
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_63])]) ).
fof(f281,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f621,plain,
spl23_62,
inference(avatar_split_clause,[],[f280,f619]) ).
fof(f619,plain,
( spl23_62
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_62])]) ).
fof(f280,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f617,plain,
spl23_61,
inference(avatar_split_clause,[],[f277,f615]) ).
fof(f615,plain,
( spl23_61
<=> ! [X0,X1] :
( v1_xboole_0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_61])]) ).
fof(f277,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f613,plain,
spl23_60,
inference(avatar_split_clause,[],[f228,f611]) ).
fof(f228,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t6_boole) ).
fof(f609,plain,
spl23_59,
inference(avatar_split_clause,[],[f212,f607]) ).
fof(f607,plain,
( spl23_59
<=> ! [X0] :
( v5_membered(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f212,plain,
! [X0] :
( v5_membered(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f605,plain,
spl23_58,
inference(avatar_split_clause,[],[f211,f603]) ).
fof(f603,plain,
( spl23_58
<=> ! [X0] :
( v4_membered(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_58])]) ).
fof(f211,plain,
! [X0] :
( v4_membered(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f601,plain,
spl23_57,
inference(avatar_split_clause,[],[f210,f599]) ).
fof(f599,plain,
( spl23_57
<=> ! [X0] :
( v3_membered(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_57])]) ).
fof(f210,plain,
! [X0] :
( v3_membered(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f597,plain,
spl23_56,
inference(avatar_split_clause,[],[f209,f595]) ).
fof(f595,plain,
( spl23_56
<=> ! [X0] :
( v2_membered(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
fof(f209,plain,
! [X0] :
( v2_membered(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f593,plain,
spl23_55,
inference(avatar_split_clause,[],[f208,f591]) ).
fof(f591,plain,
( spl23_55
<=> ! [X0] :
( v1_membered(sK9(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f208,plain,
! [X0] :
( v1_membered(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f589,plain,
spl23_54,
inference(avatar_split_clause,[],[f207,f587]) ).
fof(f207,plain,
! [X0] :
( v1_xboole_0(sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f585,plain,
spl23_53,
inference(avatar_split_clause,[],[f203,f583]) ).
fof(f583,plain,
( spl23_53
<=> ! [X0] :
( ~ v1_xboole_0(sK8(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_53])]) ).
fof(f203,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f573,plain,
( spl23_52
| ~ spl23_3
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f560,f471,f346,f570]) ).
fof(f560,plain,
( sP0(sK6)
| ~ spl23_3
| ~ spl23_29 ),
inference(resolution,[],[f472,f348]) ).
fof(f566,plain,
( spl23_51
| ~ spl23_3
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f558,f467,f346,f563]) ).
fof(f563,plain,
( spl23_51
<=> l1_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_51])]) ).
fof(f558,plain,
( l1_struct_0(sK6)
| ~ spl23_3
| ~ spl23_28 ),
inference(resolution,[],[f468,f348]) ).
fof(f557,plain,
spl23_50,
inference(avatar_split_clause,[],[f309,f555]) ).
fof(f309,plain,
! [X0] : m1_subset_1(sK17(X0),X0),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] : m1_subset_1(sK17(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f35,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',existence_m1_subset_1) ).
fof(f553,plain,
spl23_49,
inference(avatar_split_clause,[],[f251,f551]) ).
fof(f551,plain,
( spl23_49
<=> ! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
fof(f251,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc4_membered) ).
fof(f549,plain,
spl23_48,
inference(avatar_split_clause,[],[f244,f547]) ).
fof(f547,plain,
( spl23_48
<=> ! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f244,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc3_membered) ).
fof(f545,plain,
spl23_47,
inference(avatar_split_clause,[],[f235,f543]) ).
fof(f543,plain,
( spl23_47
<=> ! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
fof(f235,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc2_membered) ).
fof(f541,plain,
spl23_46,
inference(avatar_split_clause,[],[f234,f539]) ).
fof(f234,plain,
! [X0] :
( sP3(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( sP3(X0)
| ~ v1_xboole_0(X0) ),
inference(definition_folding,[],[f75,f137]) ).
fof(f137,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f75,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc15_membered) ).
fof(f537,plain,
spl23_45,
inference(avatar_split_clause,[],[f233,f535]) ).
fof(f535,plain,
( spl23_45
<=> ! [X0] :
( v5_membered(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f233,plain,
! [X0] :
( v5_membered(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f533,plain,
spl23_44,
inference(avatar_split_clause,[],[f232,f531]) ).
fof(f531,plain,
( spl23_44
<=> ! [X0] :
( v4_membered(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f232,plain,
! [X0] :
( v4_membered(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f529,plain,
spl23_43,
inference(avatar_split_clause,[],[f231,f527]) ).
fof(f527,plain,
( spl23_43
<=> ! [X0] :
( v3_membered(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f231,plain,
! [X0] :
( v3_membered(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f525,plain,
spl23_42,
inference(avatar_split_clause,[],[f230,f523]) ).
fof(f523,plain,
( spl23_42
<=> ! [X0] :
( v2_membered(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f230,plain,
! [X0] :
( v2_membered(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f521,plain,
spl23_41,
inference(avatar_split_clause,[],[f229,f519]) ).
fof(f519,plain,
( spl23_41
<=> ! [X0] :
( v1_membered(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
fof(f229,plain,
! [X0] :
( v1_membered(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f517,plain,
spl23_40,
inference(avatar_split_clause,[],[f226,f515]) ).
fof(f515,plain,
( spl23_40
<=> ! [X0] :
( v5_membered(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
fof(f226,plain,
! [X0] :
( v5_membered(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP2(X0) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP2(X1) ),
inference(nnf_transformation,[],[f135]) ).
fof(f513,plain,
spl23_39,
inference(avatar_split_clause,[],[f225,f511]) ).
fof(f511,plain,
( spl23_39
<=> ! [X0] :
( v4_membered(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_39])]) ).
fof(f225,plain,
! [X0] :
( v4_membered(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f509,plain,
spl23_38,
inference(avatar_split_clause,[],[f224,f507]) ).
fof(f507,plain,
( spl23_38
<=> ! [X0] :
( v3_membered(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_38])]) ).
fof(f224,plain,
! [X0] :
( v3_membered(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f505,plain,
spl23_37,
inference(avatar_split_clause,[],[f223,f503]) ).
fof(f503,plain,
( spl23_37
<=> ! [X0] :
( v2_membered(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f223,plain,
! [X0] :
( v2_membered(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f501,plain,
spl23_36,
inference(avatar_split_clause,[],[f222,f499]) ).
fof(f499,plain,
( spl23_36
<=> ! [X0] :
( v1_membered(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f222,plain,
! [X0] :
( v1_membered(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f497,plain,
spl23_35,
inference(avatar_split_clause,[],[f220,f495]) ).
fof(f495,plain,
( spl23_35
<=> ! [X0] :
( v1_rat_1(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f220,plain,
! [X0] :
( v1_rat_1(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( v1_rat_1(X0)
& v1_int_1(X0)
& v1_xreal_0(X0)
& v4_ordinal2(X0)
& v1_xcmplx_0(X0) )
| ~ sP1(X0) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f133]) ).
fof(f493,plain,
spl23_34,
inference(avatar_split_clause,[],[f219,f491]) ).
fof(f491,plain,
( spl23_34
<=> ! [X0] :
( v1_int_1(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f219,plain,
! [X0] :
( v1_int_1(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f489,plain,
spl23_33,
inference(avatar_split_clause,[],[f218,f487]) ).
fof(f487,plain,
( spl23_33
<=> ! [X0] :
( v1_xreal_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f218,plain,
! [X0] :
( v1_xreal_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f485,plain,
spl23_32,
inference(avatar_split_clause,[],[f217,f483]) ).
fof(f483,plain,
( spl23_32
<=> ! [X0] :
( v4_ordinal2(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f217,plain,
! [X0] :
( v4_ordinal2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f481,plain,
spl23_31,
inference(avatar_split_clause,[],[f216,f479]) ).
fof(f479,plain,
( spl23_31
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f216,plain,
! [X0] :
( v1_xcmplx_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f477,plain,
spl23_30,
inference(avatar_split_clause,[],[f215,f475]) ).
fof(f475,plain,
( spl23_30
<=> ! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f215,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',cc1_membered) ).
fof(f473,plain,
spl23_29,
inference(avatar_split_clause,[],[f214,f471]) ).
fof(f214,plain,
! [X0] :
( sP0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( sP0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f70,f131]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc4_tops_1) ).
fof(f469,plain,
spl23_28,
inference(avatar_split_clause,[],[f204,f467]) ).
fof(f204,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',dt_l1_pre_topc) ).
fof(f465,plain,
spl23_27,
inference(avatar_split_clause,[],[f312,f463]) ).
fof(f463,plain,
( spl23_27
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f312,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',reflexivity_r1_tarski) ).
fof(f461,plain,
spl23_26,
inference(avatar_split_clause,[],[f311,f459]) ).
fof(f311,plain,
! [X0] : v1_xboole_0(sK18(X0)),
inference(cnf_transformation,[],[f177]) ).
fof(f457,plain,
spl23_25,
inference(avatar_split_clause,[],[f201,f455]) ).
fof(f455,plain,
( spl23_25
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f201,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',fc1_subset_1) ).
fof(f453,plain,
~ spl23_24,
inference(avatar_split_clause,[],[f334,f450]) ).
fof(f450,plain,
( spl23_24
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f334,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f44,f186]) ).
fof(f186,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc3_struct_0) ).
fof(f448,plain,
spl23_23,
inference(avatar_split_clause,[],[f333,f445]) ).
fof(f445,plain,
( spl23_23
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f333,plain,
l1_struct_0(sK22),
inference(cnf_transformation,[],[f187]) ).
fof(f443,plain,
spl23_22,
inference(avatar_split_clause,[],[f332,f440]) ).
fof(f440,plain,
( spl23_22
<=> v5_membered(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f332,plain,
v5_membered(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( v5_membered(sK21)
& v4_membered(sK21)
& v3_membered(sK21)
& v2_membered(sK21)
& v1_membered(sK21)
& ~ v1_xboole_0(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f39,f184]) ).
fof(f184,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ( v5_membered(sK21)
& v4_membered(sK21)
& v3_membered(sK21)
& v2_membered(sK21)
& v1_membered(sK21)
& ~ v1_xboole_0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',rc1_membered) ).
fof(f438,plain,
spl23_21,
inference(avatar_split_clause,[],[f331,f435]) ).
fof(f435,plain,
( spl23_21
<=> v4_membered(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f331,plain,
v4_membered(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f433,plain,
spl23_20,
inference(avatar_split_clause,[],[f330,f430]) ).
fof(f430,plain,
( spl23_20
<=> v3_membered(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f330,plain,
v3_membered(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f428,plain,
spl23_19,
inference(avatar_split_clause,[],[f329,f425]) ).
fof(f425,plain,
( spl23_19
<=> v2_membered(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f329,plain,
v2_membered(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f423,plain,
spl23_18,
inference(avatar_split_clause,[],[f328,f420]) ).
fof(f420,plain,
( spl23_18
<=> v1_membered(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f328,plain,
v1_membered(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f418,plain,
~ spl23_17,
inference(avatar_split_clause,[],[f327,f415]) ).
fof(f415,plain,
( spl23_17
<=> v1_xboole_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f327,plain,
~ v1_xboole_0(sK21),
inference(cnf_transformation,[],[f185]) ).
fof(f413,plain,
spl23_16,
inference(avatar_split_clause,[],[f326,f410]) ).
fof(f410,plain,
( spl23_16
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f326,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
l1_struct_0(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f34,f182]) ).
fof(f182,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK20) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',existence_l1_struct_0) ).
fof(f408,plain,
spl23_15,
inference(avatar_split_clause,[],[f325,f405]) ).
fof(f325,plain,
l1_pre_topc(sK19),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
l1_pre_topc(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f33,f180]) ).
fof(f180,plain,
( ? [X0] : l1_pre_topc(X0)
=> l1_pre_topc(sK19) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',existence_l1_pre_topc) ).
fof(f403,plain,
spl23_14,
inference(avatar_split_clause,[],[f200,f400]) ).
fof(f400,plain,
( spl23_14
<=> v5_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f200,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',fc6_membered) ).
fof(f398,plain,
spl23_13,
inference(avatar_split_clause,[],[f199,f395]) ).
fof(f395,plain,
( spl23_13
<=> v4_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f199,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f393,plain,
spl23_12,
inference(avatar_split_clause,[],[f198,f390]) ).
fof(f390,plain,
( spl23_12
<=> v3_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f198,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f388,plain,
spl23_11,
inference(avatar_split_clause,[],[f197,f385]) ).
fof(f385,plain,
( spl23_11
<=> v2_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f197,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f383,plain,
spl23_10,
inference(avatar_split_clause,[],[f196,f380]) ).
fof(f380,plain,
( spl23_10
<=> v1_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f196,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f378,plain,
spl23_9,
inference(avatar_split_clause,[],[f195,f375]) ).
fof(f195,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f373,plain,
( spl23_7
| spl23_8 ),
inference(avatar_split_clause,[],[f192,f370,f366]) ).
fof(f192,plain,
( v4_pre_topc(sK7,sK6)
| v3_pre_topc(sK7,sK6) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& v1_tsp_2(sK7,sK6)
& ( v4_pre_topc(sK7,sK6)
| v3_pre_topc(sK7,sK6) )
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& l1_pre_topc(sK6)
& v2_pre_topc(sK6)
& ~ v3_struct_0(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f65,f144,f143]) ).
fof(f143,plain,
( ? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK6)))
& v1_tsp_2(X1,sK6)
& ( v4_pre_topc(X1,sK6)
| v3_pre_topc(X1,sK6) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
& l1_pre_topc(sK6)
& v2_pre_topc(sK6)
& ~ v3_struct_0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK6)))
& v1_tsp_2(X1,sK6)
& ( v4_pre_topc(X1,sK6)
| v3_pre_topc(X1,sK6) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
=> ( v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& v1_tsp_2(sK7,sK6)
& ( v4_pre_topc(sK7,sK6)
| v3_pre_topc(sK7,sK6) )
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.THikD6JoIZ/Vampire---4.8_16521',t3_tsp_2) ).
fof(f364,plain,
spl23_6,
inference(avatar_split_clause,[],[f194,f361]) ).
fof(f194,plain,
v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f145]) ).
fof(f359,plain,
spl23_5,
inference(avatar_split_clause,[],[f191,f356]) ).
fof(f191,plain,
m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f145]) ).
fof(f354,plain,
spl23_4,
inference(avatar_split_clause,[],[f193,f351]) ).
fof(f193,plain,
v1_tsp_2(sK7,sK6),
inference(cnf_transformation,[],[f145]) ).
fof(f349,plain,
spl23_3,
inference(avatar_split_clause,[],[f190,f346]) ).
fof(f190,plain,
l1_pre_topc(sK6),
inference(cnf_transformation,[],[f145]) ).
fof(f344,plain,
spl23_2,
inference(avatar_split_clause,[],[f189,f341]) ).
fof(f189,plain,
v2_pre_topc(sK6),
inference(cnf_transformation,[],[f145]) ).
fof(f339,plain,
~ spl23_1,
inference(avatar_split_clause,[],[f188,f336]) ).
fof(f188,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 15:56:19 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.42 % (16627)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (16628)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.42 % (16631)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.42 % (16629)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.42 % (16630)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.42 % (16633)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.42 % (16634)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.42 % (16632)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [3]
% 0.19/0.44 TRYING [4]
% 0.19/0.44 TRYING [1]
% 0.19/0.44 TRYING [2]
% 0.19/0.45 TRYING [5]
% 0.19/0.46 TRYING [1]
% 0.19/0.46 TRYING [2]
% 0.19/0.46 TRYING [3]
% 0.19/0.46 TRYING [4]
% 0.19/0.47 % (16632)First to succeed.
% 0.19/0.47 TRYING [5]
% 0.19/0.47 TRYING [6]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 % (16632)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for Vampire---4
% 0.19/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.49 % (16632)------------------------------
% 0.19/0.49 % (16632)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.49 % (16632)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.49 % (16632)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (16632)Memory used [KB]: 7419
% 0.19/0.49 % (16632)Time elapsed: 0.058 s
% 0.19/0.49 % (16632)------------------------------
% 0.19/0.49 % (16632)------------------------------
% 0.19/0.49 % (16627)Success in time 0.137 s
% 0.19/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------