TSTP Solution File: SET916+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:13:58 EDT 2024
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 287
% Syntax : Number of formulae : 956 ( 47 unt; 0 def)
% Number of atoms : 3486 ( 240 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 4368 (1838 ~;2172 |; 72 &)
% ( 278 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 275 ( 273 usr; 269 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 2390 (2368 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3734,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f86,f91,f96,f101,f105,f109,f113,f117,f121,f126,f130,f134,f138,f142,f152,f159,f163,f170,f174,f178,f191,f195,f199,f203,f207,f215,f219,f233,f237,f241,f259,f263,f267,f284,f288,f292,f296,f300,f335,f339,f343,f347,f351,f380,f384,f412,f416,f420,f424,f428,f435,f439,f443,f491,f495,f499,f510,f514,f530,f534,f538,f542,f546,f553,f557,f561,f565,f569,f580,f612,f616,f620,f624,f632,f636,f640,f644,f648,f652,f676,f720,f724,f764,f768,f776,f780,f784,f788,f792,f796,f852,f868,f872,f876,f880,f902,f928,f932,f936,f940,f944,f948,f952,f956,f960,f964,f1084,f1088,f1092,f1096,f1100,f1104,f1108,f1112,f1116,f1168,f1318,f1322,f1340,f1351,f1355,f1371,f1375,f1379,f1383,f1387,f1402,f1472,f1476,f1480,f1484,f1488,f1528,f1532,f1636,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1780,f1840,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1968,f2084,f2092,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2136,f2140,f2144,f2259,f2263,f2267,f2278,f2282,f2286,f2290,f2294,f2298,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2425,f2546,f2730,f2734,f2738,f2742,f2746,f2750,f2754,f2758,f2762,f2766,f2770,f2774,f2834,f2838,f2842,f2846,f2850,f2862,f2878,f2882,f2886,f2979,f2988,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3029,f3033,f3038,f3042,f3046,f3050,f3054,f3058,f3062,f3066,f3070,f3074,f3078,f3082,f3086,f3090,f3094,f3098,f3102,f3106,f3110,f3114,f3118,f3132,f3136,f3140,f3281,f3716,f3720,f3724,f3728,f3732,f3733]) ).
fof(f3733,plain,
( spl10_3
| spl10_2
| ~ spl10_59
| ~ spl10_229 ),
inference(avatar_split_clause,[],[f3392,f2981,f512,f83,f88]) ).
fof(f88,plain,
( spl10_3
<=> disjoint(unordered_pair(sK2,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f83,plain,
( spl10_2
<=> in(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f512,plain,
( spl10_59
<=> ! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_59])]) ).
fof(f2981,plain,
( spl10_229
<=> sK4 = sK5(unordered_pair(sK2,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_229])]) ).
fof(f3392,plain,
( in(sK4,sK3)
| disjoint(unordered_pair(sK2,sK4),sK3)
| ~ spl10_59
| ~ spl10_229 ),
inference(superposition,[],[f513,f2983]) ).
fof(f2983,plain,
( sK4 = sK5(unordered_pair(sK2,sK4),sK3)
| ~ spl10_229 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f513,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) )
| ~ spl10_59 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f3732,plain,
( spl10_268
| ~ spl10_7
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f1170,f1094,f107,f3730]) ).
fof(f3730,plain,
( spl10_268
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X1)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ in(X3,sK7(X0,set_intersection2(X1,X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_268])]) ).
fof(f107,plain,
( spl10_7
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f1094,plain,
( spl10_111
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X1)
| in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_111])]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X1)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ in(X3,sK7(X0,set_intersection2(X1,X2),X3)) )
| ~ spl10_7
| ~ spl10_111 ),
inference(resolution,[],[f1095,f108]) ).
fof(f108,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| in(sK7(X0,set_intersection2(X1,X2),X3),X1)
| sP1(X0,set_intersection2(X1,X2),X3) )
| ~ spl10_111 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f3728,plain,
( spl10_267
| ~ spl10_7
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f1149,f1090,f107,f3726]) ).
fof(f3726,plain,
( spl10_267
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X1,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_267])]) ).
fof(f1090,plain,
( spl10_110
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_110])]) ).
fof(f1149,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X1,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_110 ),
inference(resolution,[],[f1091,f108]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_110 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f3724,plain,
( spl10_266
| ~ spl10_7
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f1142,f1090,f107,f3722]) ).
fof(f3722,plain,
( spl10_266
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_266])]) ).
fof(f1142,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_110 ),
inference(resolution,[],[f1091,f108]) ).
fof(f3720,plain,
( spl10_265
| ~ spl10_7
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f1125,f1086,f107,f3718]) ).
fof(f3718,plain,
( spl10_265
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X0,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_265])]) ).
fof(f1086,plain,
( spl10_109
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_109])]) ).
fof(f1125,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X0,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_109 ),
inference(resolution,[],[f1087,f108]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_109 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f3716,plain,
( spl10_264
| ~ spl10_7
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f1118,f1086,f107,f3714]) ).
fof(f3714,plain,
( spl10_264
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_264])]) ).
fof(f1118,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_109 ),
inference(resolution,[],[f1087,f108]) ).
fof(f3281,plain,
( spl10_3
| spl10_1
| ~ spl10_59
| ~ spl10_230 ),
inference(avatar_split_clause,[],[f3123,f2985,f512,f78,f88]) ).
fof(f78,plain,
( spl10_1
<=> in(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f2985,plain,
( spl10_230
<=> sK2 = sK5(unordered_pair(sK2,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_230])]) ).
fof(f3123,plain,
( in(sK2,sK3)
| disjoint(unordered_pair(sK2,sK4),sK3)
| ~ spl10_59
| ~ spl10_230 ),
inference(superposition,[],[f513,f2987]) ).
fof(f2987,plain,
( sK2 = sK5(unordered_pair(sK2,sK4),sK3)
| ~ spl10_230 ),
inference(avatar_component_clause,[],[f2985]) ).
fof(f3140,plain,
( spl10_263
| ~ spl10_16
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f1305,f1114,f150,f3138]) ).
fof(f3138,plain,
( spl10_263
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4),X4)
| sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_263])]) ).
fof(f150,plain,
( spl10_16
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f1114,plain,
( spl10_116
<=> ! [X0,X3,X2,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X1)
| in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_116])]) ).
fof(f1305,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4),X4)
| sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4)
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_116 ),
inference(resolution,[],[f1115,f151]) ).
fof(f151,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| in(sK7(set_intersection2(X0,X1),X2,X3),X1)
| sP1(set_intersection2(X0,X1),X2,X3) )
| ~ spl10_116 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f3136,plain,
( spl10_262
| ~ spl10_36
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f1304,f1114,f286,f3134]) ).
fof(f3134,plain,
( spl10_262
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4),X4)
| sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_262])]) ).
fof(f286,plain,
( spl10_36
<=> ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_36])]) ).
fof(f1304,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4),X4)
| sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,X4)
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_116 ),
inference(resolution,[],[f1115,f287]) ).
fof(f287,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) )
| ~ spl10_36 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f3132,plain,
( spl10_261
| ~ spl10_16
| ~ spl10_115 ),
inference(avatar_split_clause,[],[f1280,f1110,f150,f3130]) ).
fof(f3130,plain,
( spl10_261
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4),X4)
| sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4)
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_261])]) ).
fof(f1110,plain,
( spl10_115
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X2)
| in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_115])]) ).
fof(f1280,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4),X4)
| sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4)
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_115 ),
inference(resolution,[],[f1111,f151]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| in(sK7(X0,set_intersection2(X1,X2),X3),X2)
| sP1(X0,set_intersection2(X1,X2),X3) )
| ~ spl10_115 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f3118,plain,
( spl10_260
| ~ spl10_36
| ~ spl10_115 ),
inference(avatar_split_clause,[],[f1279,f1110,f286,f3116]) ).
fof(f3116,plain,
( spl10_260
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4),X4)
| sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_260])]) ).
fof(f1279,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4),X4)
| sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),X4)
| ~ disjoint(X3,X2) )
| ~ spl10_36
| ~ spl10_115 ),
inference(resolution,[],[f1111,f287]) ).
fof(f3114,plain,
( spl10_259
| ~ spl10_16
| ~ spl10_114 ),
inference(avatar_split_clause,[],[f1248,f1106,f150,f3112]) ).
fof(f3112,plain,
( spl10_259
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X1)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_259])]) ).
fof(f1106,plain,
( spl10_114
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_114])]) ).
fof(f1248,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X1)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_114 ),
inference(resolution,[],[f1107,f151]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_114 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f3110,plain,
( spl10_258
| ~ spl10_36
| ~ spl10_114 ),
inference(avatar_split_clause,[],[f1247,f1106,f286,f3108]) ).
fof(f3108,plain,
( spl10_258
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X1)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_258])]) ).
fof(f1247,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X1)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_114 ),
inference(resolution,[],[f1107,f287]) ).
fof(f3106,plain,
( spl10_257
| ~ spl10_16
| ~ spl10_113 ),
inference(avatar_split_clause,[],[f1224,f1102,f150,f3104]) ).
fof(f3104,plain,
( spl10_257
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X0)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_257])]) ).
fof(f1102,plain,
( spl10_113
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_113])]) ).
fof(f1224,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X0)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_113 ),
inference(resolution,[],[f1103,f151]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_113 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f3102,plain,
( spl10_256
| ~ spl10_36
| ~ spl10_113 ),
inference(avatar_split_clause,[],[f1223,f1102,f286,f3100]) ).
fof(f3100,plain,
( spl10_256
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X0)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_256])]) ).
fof(f1223,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(X2,set_intersection2(X3,X4))),X0)
| sP1(X0,X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_113 ),
inference(resolution,[],[f1103,f287]) ).
fof(f3098,plain,
( spl10_255
| ~ spl10_16
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f1208,f1098,f150,f3096]) ).
fof(f3096,plain,
( spl10_255
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(set_intersection2(set_intersection2(X0,X1),X2),X3,X4),X4)
| sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,X4)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_255])]) ).
fof(f1098,plain,
( spl10_112
<=> ! [X0,X3,X2,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X0)
| in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_112])]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(set_intersection2(X0,X1),X2),X3,X4),X4)
| sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,X4)
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_112 ),
inference(resolution,[],[f1099,f151]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| in(sK7(set_intersection2(X0,X1),X2,X3),X0)
| sP1(set_intersection2(X0,X1),X2,X3) )
| ~ spl10_112 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f3094,plain,
( spl10_254
| ~ spl10_36
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f1207,f1098,f286,f3092]) ).
fof(f3092,plain,
( spl10_254
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(set_intersection2(set_intersection2(X0,X1),X2),X3,X4),X4)
| sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,X4)
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_254])]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(set_intersection2(X0,X1),X2),X3,X4),X4)
| sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,X4)
| ~ disjoint(X1,X0) )
| ~ spl10_36
| ~ spl10_112 ),
inference(resolution,[],[f1099,f287]) ).
fof(f3090,plain,
( spl10_253
| ~ spl10_16
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f1183,f1094,f150,f3088]) ).
fof(f3088,plain,
( spl10_253
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(set_intersection2(X1,X2),X3),X4),X4)
| sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),X4)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_253])]) ).
fof(f1183,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(set_intersection2(X1,X2),X3),X4),X4)
| sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),X4)
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_111 ),
inference(resolution,[],[f1095,f151]) ).
fof(f3086,plain,
( spl10_252
| ~ spl10_36
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f1182,f1094,f286,f3084]) ).
fof(f3084,plain,
( spl10_252
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(set_intersection2(X1,X2),X3),X4),X4)
| sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),X4)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_252])]) ).
fof(f1182,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(set_intersection2(X1,X2),X3),X4),X4)
| sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),X4)
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_111 ),
inference(resolution,[],[f1095,f287]) ).
fof(f3082,plain,
( spl10_251
| ~ spl10_16
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f1147,f1090,f150,f3080]) ).
fof(f3080,plain,
( spl10_251
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X1)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_251])]) ).
fof(f1147,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X1)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_110 ),
inference(resolution,[],[f1091,f151]) ).
fof(f3078,plain,
( spl10_250
| ~ spl10_36
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f1146,f1090,f286,f3076]) ).
fof(f3076,plain,
( spl10_250
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X1)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_250])]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X1)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X3,X2) )
| ~ spl10_36
| ~ spl10_110 ),
inference(resolution,[],[f1091,f287]) ).
fof(f3074,plain,
( spl10_249
| ~ spl10_16
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f1123,f1086,f150,f3072]) ).
fof(f3072,plain,
( spl10_249
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X0)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_249])]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X0)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_109 ),
inference(resolution,[],[f1087,f151]) ).
fof(f3070,plain,
( spl10_248
| ~ spl10_36
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f1122,f1086,f286,f3068]) ).
fof(f3068,plain,
( spl10_248
<=> ! [X4,X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X0)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_248])]) ).
fof(f1122,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,X1,set_intersection2(set_intersection2(X2,X3),X4)),X0)
| sP1(X0,X1,set_intersection2(set_intersection2(X2,X3),X4))
| ~ disjoint(X3,X2) )
| ~ spl10_36
| ~ spl10_109 ),
inference(resolution,[],[f1087,f287]) ).
fof(f3066,plain,
( spl10_247
| ~ spl10_7
| ~ spl10_107 ),
inference(avatar_split_clause,[],[f1068,f962,f107,f3064]) ).
fof(f3064,plain,
( spl10_247
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ in(X3,sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_247])]) ).
fof(f962,plain,
( spl10_107
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_107])]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ in(X3,sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))) )
| ~ spl10_7
| ~ spl10_107 ),
inference(resolution,[],[f963,f108]) ).
fof(f963,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X3)
| ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)) )
| ~ spl10_107 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f3062,plain,
( spl10_246
| ~ spl10_7
| ~ spl10_106 ),
inference(avatar_split_clause,[],[f1054,f958,f107,f3060]) ).
fof(f3060,plain,
( spl10_246
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ in(X4,sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_246])]) ).
fof(f958,plain,
( spl10_106
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_106])]) ).
fof(f1054,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ in(X4,sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))) )
| ~ spl10_7
| ~ spl10_106 ),
inference(resolution,[],[f959,f108]) ).
fof(f959,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X4)
| ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)) )
| ~ spl10_106 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f3058,plain,
( spl10_245
| ~ spl10_7
| ~ spl10_104 ),
inference(avatar_split_clause,[],[f1038,f950,f107,f3056]) ).
fof(f3056,plain,
( spl10_245
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))
| ~ in(X2,sK7(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_245])]) ).
fof(f950,plain,
( spl10_104
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_104])]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))
| ~ in(X2,sK7(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_104 ),
inference(resolution,[],[f951,f108]) ).
fof(f951,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X0)
| ~ disjoint(X3,X4)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)) )
| ~ spl10_104 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f3054,plain,
( spl10_244
| ~ spl10_7
| ~ spl10_103 ),
inference(avatar_split_clause,[],[f1022,f946,f107,f3052]) ).
fof(f3052,plain,
( spl10_244
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))
| ~ in(X3,sK7(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_244])]) ).
fof(f946,plain,
( spl10_103
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_103])]) ).
fof(f1022,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))
| ~ in(X3,sK7(set_intersection2(X2,X3),X4,set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_103 ),
inference(resolution,[],[f947,f108]) ).
fof(f947,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X1)
| ~ disjoint(X3,X4)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)) )
| ~ spl10_103 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f3050,plain,
( spl10_243
| ~ spl10_7
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f1008,f942,f107,f3048]) ).
fof(f3048,plain,
( spl10_243
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))
| ~ in(X3,sK7(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_243])]) ).
fof(f942,plain,
( spl10_102
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_102])]) ).
fof(f1008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))
| ~ in(X3,sK7(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))) )
| ~ spl10_7
| ~ spl10_102 ),
inference(resolution,[],[f943,f108]) ).
fof(f943,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X3)
| ~ disjoint(X1,X2)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)) )
| ~ spl10_102 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f3046,plain,
( spl10_242
| ~ spl10_7
| ~ spl10_101 ),
inference(avatar_split_clause,[],[f994,f938,f107,f3044]) ).
fof(f3044,plain,
( spl10_242
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))
| ~ in(X4,sK7(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_242])]) ).
fof(f938,plain,
( spl10_101
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_101])]) ).
fof(f994,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))
| ~ in(X4,sK7(X2,set_intersection2(X0,X1),set_intersection2(X3,X4))) )
| ~ spl10_7
| ~ spl10_101 ),
inference(resolution,[],[f939,f108]) ).
fof(f939,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X4)
| ~ disjoint(X1,X2)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)) )
| ~ spl10_101 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f3042,plain,
( spl10_241
| ~ spl10_7
| ~ spl10_100 ),
inference(avatar_split_clause,[],[f979,f934,f107,f3040]) ).
fof(f3040,plain,
( spl10_241
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))
| ~ in(X3,sK7(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_241])]) ).
fof(f934,plain,
( spl10_100
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_100])]) ).
fof(f979,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))
| ~ in(X3,sK7(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_100 ),
inference(resolution,[],[f935,f108]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X1)
| ~ disjoint(X3,X4)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)) )
| ~ spl10_100 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f3038,plain,
( ~ spl10_240
| spl10_229
| ~ spl10_230 ),
inference(avatar_split_clause,[],[f2989,f2985,f2981,f3035]) ).
fof(f3035,plain,
( spl10_240
<=> sK2 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_240])]) ).
fof(f2989,plain,
( sK2 != sK4
| spl10_229
| ~ spl10_230 ),
inference(forward_demodulation,[],[f2982,f2987]) ).
fof(f2982,plain,
( sK4 != sK5(unordered_pair(sK2,sK4),sK3)
| spl10_229 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f3033,plain,
( spl10_239
| ~ spl10_7
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f965,f930,f107,f3031]) ).
fof(f3031,plain,
( spl10_239
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))
| ~ in(X4,sK7(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_239])]) ).
fof(f930,plain,
( spl10_99
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_99])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))
| ~ in(X4,sK7(X2,set_intersection2(X3,X4),set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_99 ),
inference(resolution,[],[f931,f108]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X2)
| ~ disjoint(X3,X4)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)) )
| ~ spl10_99 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f3029,plain,
( spl10_238
| ~ spl10_38
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f841,f778,f294,f3027]) ).
fof(f3027,plain,
( spl10_238
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,set_intersection2(X3,X4))
| in(sK7(set_intersection2(X1,X0),X2,set_intersection2(X3,X4)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_238])]) ).
fof(f294,plain,
( spl10_38
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_38])]) ).
fof(f778,plain,
( spl10_87
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X1,X0),X2,X3),X3)
| sP1(set_intersection2(X1,X0),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_87])]) ).
fof(f841,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,set_intersection2(X3,X4))
| in(sK7(set_intersection2(X1,X0),X2,set_intersection2(X3,X4)),X3) )
| ~ spl10_38
| ~ spl10_87 ),
inference(resolution,[],[f779,f295]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f779,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X1,X0),X2,X3),X3)
| ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,X3) )
| ~ spl10_87 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f3025,plain,
( spl10_237
| ~ spl10_39
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f840,f778,f298,f3023]) ).
fof(f3023,plain,
( spl10_237
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,set_intersection2(X3,X4))
| in(sK7(set_intersection2(X1,X0),X2,set_intersection2(X3,X4)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_237])]) ).
fof(f298,plain,
( spl10_39
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_39])]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,set_intersection2(X3,X4))
| in(sK7(set_intersection2(X1,X0),X2,set_intersection2(X3,X4)),X4) )
| ~ spl10_39
| ~ spl10_87 ),
inference(resolution,[],[f779,f299]) ).
fof(f299,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl10_39 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f3021,plain,
( spl10_236
| ~ spl10_38
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f828,f774,f294,f3019]) ).
fof(f3019,plain,
( spl10_236
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),set_intersection2(X3,X4))
| in(sK7(X2,set_intersection2(X1,X0),set_intersection2(X3,X4)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_236])]) ).
fof(f774,plain,
( spl10_86
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,set_intersection2(X1,X0),X3),X3)
| sP1(X2,set_intersection2(X1,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_86])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),set_intersection2(X3,X4))
| in(sK7(X2,set_intersection2(X1,X0),set_intersection2(X3,X4)),X3) )
| ~ spl10_38
| ~ spl10_86 ),
inference(resolution,[],[f775,f295]) ).
fof(f775,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X2,set_intersection2(X1,X0),X3),X3)
| ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),X3) )
| ~ spl10_86 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f3017,plain,
( spl10_235
| ~ spl10_39
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f827,f774,f298,f3015]) ).
fof(f3015,plain,
( spl10_235
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),set_intersection2(X3,X4))
| in(sK7(X2,set_intersection2(X1,X0),set_intersection2(X3,X4)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_235])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),set_intersection2(X3,X4))
| in(sK7(X2,set_intersection2(X1,X0),set_intersection2(X3,X4)),X4) )
| ~ spl10_39
| ~ spl10_86 ),
inference(resolution,[],[f775,f299]) ).
fof(f3013,plain,
( spl10_234
| ~ spl10_38
| ~ spl10_85 ),
inference(avatar_split_clause,[],[f815,f766,f294,f3011]) ).
fof(f3011,plain,
( spl10_234
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| in(sK7(X2,set_intersection2(X3,X4),set_intersection2(X1,X0)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_234])]) ).
fof(f766,plain,
( spl10_85
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,X3,set_intersection2(X1,X0)),X3)
| sP1(X2,X3,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_85])]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| in(sK7(X2,set_intersection2(X3,X4),set_intersection2(X1,X0)),X3) )
| ~ spl10_38
| ~ spl10_85 ),
inference(resolution,[],[f767,f295]) ).
fof(f767,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X2,X3,set_intersection2(X1,X0)),X3)
| ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0)) )
| ~ spl10_85 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f3009,plain,
( spl10_233
| ~ spl10_39
| ~ spl10_85 ),
inference(avatar_split_clause,[],[f814,f766,f298,f3007]) ).
fof(f3007,plain,
( spl10_233
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| in(sK7(X2,set_intersection2(X3,X4),set_intersection2(X1,X0)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_233])]) ).
fof(f814,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| in(sK7(X2,set_intersection2(X3,X4),set_intersection2(X1,X0)),X4) )
| ~ spl10_39
| ~ spl10_85 ),
inference(resolution,[],[f767,f299]) ).
fof(f3005,plain,
( spl10_232
| ~ spl10_38
| ~ spl10_84 ),
inference(avatar_split_clause,[],[f802,f762,f294,f3003]) ).
fof(f3003,plain,
( spl10_232
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| in(sK7(set_intersection2(X2,X3),X4,set_intersection2(X1,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_232])]) ).
fof(f762,plain,
( spl10_84
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,X3,set_intersection2(X1,X0)),X2)
| sP1(X2,X3,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_84])]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| in(sK7(set_intersection2(X2,X3),X4,set_intersection2(X1,X0)),X2) )
| ~ spl10_38
| ~ spl10_84 ),
inference(resolution,[],[f763,f295]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X2,X3,set_intersection2(X1,X0)),X2)
| ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0)) )
| ~ spl10_84 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f3001,plain,
( spl10_231
| ~ spl10_39
| ~ spl10_84 ),
inference(avatar_split_clause,[],[f801,f762,f298,f2999]) ).
fof(f2999,plain,
( spl10_231
<=> ! [X2,X4,X0,X3,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| in(sK7(set_intersection2(X2,X3),X4,set_intersection2(X1,X0)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_231])]) ).
fof(f801,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| in(sK7(set_intersection2(X2,X3),X4,set_intersection2(X1,X0)),X3) )
| ~ spl10_39
| ~ spl10_84 ),
inference(resolution,[],[f763,f299]) ).
fof(f2988,plain,
( spl10_229
| spl10_230
| spl10_3
| ~ spl10_225 ),
inference(avatar_split_clause,[],[f2887,f2876,f88,f2985,f2981]) ).
fof(f2876,plain,
( spl10_225
<=> ! [X2,X0,X1] :
( disjoint(unordered_pair(X0,X1),X2)
| sK5(unordered_pair(X0,X1),X2) = X0
| sK5(unordered_pair(X0,X1),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_225])]) ).
fof(f2887,plain,
( sK2 = sK5(unordered_pair(sK2,sK4),sK3)
| sK4 = sK5(unordered_pair(sK2,sK4),sK3)
| spl10_3
| ~ spl10_225 ),
inference(resolution,[],[f2877,f90]) ).
fof(f90,plain,
( ~ disjoint(unordered_pair(sK2,sK4),sK3)
| spl10_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f2877,plain,
( ! [X2,X0,X1] :
( disjoint(unordered_pair(X0,X1),X2)
| sK5(unordered_pair(X0,X1),X2) = X0
| sK5(unordered_pair(X0,X1),X2) = X1 )
| ~ spl10_225 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f2979,plain,
( spl10_228
| ~ spl10_46
| ~ spl10_69 ),
inference(avatar_split_clause,[],[f604,f567,f382,f2977]) ).
fof(f2977,plain,
( spl10_228
<=> ! [X0,X3,X2,X1] :
( ~ in(set_intersection2(X0,X1),X2)
| ~ in(set_intersection2(X0,X1),X3)
| ~ in(set_intersection2(X3,X2),X0)
| ~ in(set_intersection2(X3,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_228])]) ).
fof(f382,plain,
( spl10_46
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_46])]) ).
fof(f567,plain,
( spl10_69
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_69])]) ).
fof(f604,plain,
( ! [X2,X3,X0,X1] :
( ~ in(set_intersection2(X0,X1),X2)
| ~ in(set_intersection2(X0,X1),X3)
| ~ in(set_intersection2(X3,X2),X0)
| ~ in(set_intersection2(X3,X2),X1) )
| ~ spl10_46
| ~ spl10_69 ),
inference(resolution,[],[f568,f383]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( in(X0,set_intersection2(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,X1) )
| ~ spl10_46 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f568,plain,
( ! [X2,X0,X1] :
( ~ in(set_intersection2(X1,X2),X0)
| ~ in(X0,X2)
| ~ in(X0,X1) )
| ~ spl10_69 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f2886,plain,
( spl10_227
| ~ spl10_16
| ~ spl10_118 ),
inference(avatar_split_clause,[],[f1336,f1316,f150,f2884]) ).
fof(f2884,plain,
( spl10_227
<=> ! [X0,X3,X2,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_227])]) ).
fof(f1316,plain,
( spl10_118
<=> ! [X0,X3,X2,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| in(X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_118])]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X1 )
| ~ spl10_16
| ~ spl10_118 ),
inference(duplicate_literal_removal,[],[f1326]) ).
fof(f1326,plain,
( ! [X2,X3,X0,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_118 ),
inference(resolution,[],[f1317,f151]) ).
fof(f1317,plain,
( ! [X2,X3,X0,X1] :
( in(X1,set_intersection2(X2,X3))
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X1 )
| ~ spl10_118 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f2882,plain,
( spl10_226
| ~ spl10_45
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f522,f512,f378,f2880]) ).
fof(f2880,plain,
( spl10_226
<=> ! [X2,X0,X1] :
( disjoint(X0,unordered_pair(X1,X2))
| sK5(X0,unordered_pair(X1,X2)) = X1
| sK5(X0,unordered_pair(X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_226])]) ).
fof(f378,plain,
( spl10_45
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ in(X1,unordered_pair(X0,X2))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_45])]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( disjoint(X0,unordered_pair(X1,X2))
| sK5(X0,unordered_pair(X1,X2)) = X1
| sK5(X0,unordered_pair(X1,X2)) = X2 )
| ~ spl10_45
| ~ spl10_59 ),
inference(resolution,[],[f513,f379]) ).
fof(f379,plain,
( ! [X2,X0,X1] :
( ~ in(X1,unordered_pair(X0,X2))
| X0 = X1
| X1 = X2 )
| ~ spl10_45 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f2878,plain,
( spl10_225
| ~ spl10_45
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f516,f508,f378,f2876]) ).
fof(f508,plain,
( spl10_58
<=> ! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_58])]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( disjoint(unordered_pair(X0,X1),X2)
| sK5(unordered_pair(X0,X1),X2) = X0
| sK5(unordered_pair(X0,X1),X2) = X1 )
| ~ spl10_45
| ~ spl10_58 ),
inference(resolution,[],[f509,f379]) ).
fof(f509,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) )
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f2862,plain,
( spl10_224
| ~ spl10_12
| ~ spl10_217 ),
inference(avatar_split_clause,[],[f2816,f2768,f128,f2860]) ).
fof(f2860,plain,
( spl10_224
<=> ! [X0,X1] : sP1(set_intersection2(X1,X0),X1,set_intersection2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_224])]) ).
fof(f128,plain,
( spl10_12
<=> ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f2768,plain,
( spl10_217
<=> ! [X0,X1] : sP1(set_intersection2(X0,X1),X1,set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_217])]) ).
fof(f2816,plain,
( ! [X0,X1] : sP1(set_intersection2(X1,X0),X1,set_intersection2(X1,X0))
| ~ spl10_12
| ~ spl10_217 ),
inference(superposition,[],[f2769,f129]) ).
fof(f129,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f2769,plain,
( ! [X0,X1] : sP1(set_intersection2(X0,X1),X1,set_intersection2(X0,X1))
| ~ spl10_217 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f2850,plain,
( spl10_223
| ~ spl10_6
| ~ spl10_118 ),
inference(avatar_split_clause,[],[f1333,f1316,f103,f2848]) ).
fof(f2848,plain,
( spl10_223
<=> ! [X2,X0,X1] :
( in(X1,X0)
| sK6(X2,X1,X0) = X2
| ~ disjoint(X0,X0)
| sK6(X2,X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_223])]) ).
fof(f103,plain,
( spl10_6
<=> ! [X0] : set_intersection2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f1333,plain,
( ! [X2,X0,X1] :
( in(X1,X0)
| sK6(X2,X1,X0) = X2
| ~ disjoint(X0,X0)
| sK6(X2,X1,X0) = X1 )
| ~ spl10_6
| ~ spl10_118 ),
inference(superposition,[],[f1317,f104]) ).
fof(f104,plain,
( ! [X0] : set_intersection2(X0,X0) = X0
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f2846,plain,
( spl10_222
| ~ spl10_7
| ~ spl10_96 ),
inference(avatar_split_clause,[],[f915,f878,f107,f2844]) ).
fof(f2844,plain,
( spl10_222
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X0,sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_222])]) ).
fof(f878,plain,
( spl10_96
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_96])]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X0,sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_96 ),
inference(resolution,[],[f879,f108]) ).
fof(f879,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)) )
| ~ spl10_96 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f2842,plain,
( spl10_221
| ~ spl10_7
| ~ spl10_95 ),
inference(avatar_split_clause,[],[f904,f874,f107,f2840]) ).
fof(f2840,plain,
( spl10_221
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X1,sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_221])]) ).
fof(f874,plain,
( spl10_95
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_95])]) ).
fof(f904,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X1,sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) )
| ~ spl10_7
| ~ spl10_95 ),
inference(resolution,[],[f875,f108]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)) )
| ~ spl10_95 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f2838,plain,
( spl10_220
| ~ spl10_7
| ~ spl10_94 ),
inference(avatar_split_clause,[],[f890,f870,f107,f2836]) ).
fof(f2836,plain,
( spl10_220
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X1,sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_220])]) ).
fof(f870,plain,
( spl10_94
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_94])]) ).
fof(f890,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X1,sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) )
| ~ spl10_7
| ~ spl10_94 ),
inference(resolution,[],[f871,f108]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)) )
| ~ spl10_94 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f2834,plain,
( spl10_219
| ~ spl10_7
| ~ spl10_93 ),
inference(avatar_split_clause,[],[f881,f866,f107,f2832]) ).
fof(f2832,plain,
( spl10_219
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X2,sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_219])]) ).
fof(f866,plain,
( spl10_93
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_93])]) ).
fof(f881,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X2,sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) )
| ~ spl10_7
| ~ spl10_93 ),
inference(resolution,[],[f867,f108]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2)
| sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)) )
| ~ spl10_93 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f2774,plain,
( spl10_218
| ~ spl10_6
| ~ spl10_107 ),
inference(avatar_split_clause,[],[f1074,f962,f103,f2772]) ).
fof(f2772,plain,
( spl10_218
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| ~ disjoint(X0,X0)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_218])]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| ~ disjoint(X0,X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_6
| ~ spl10_107 ),
inference(superposition,[],[f963,f104]) ).
fof(f2770,plain,
( spl10_217
| ~ spl10_33
| ~ spl10_201 ),
inference(avatar_split_clause,[],[f2570,f2316,f261,f2768]) ).
fof(f261,plain,
( spl10_33
<=> ! [X0,X1] : sP1(X1,X0,set_intersection2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
fof(f2316,plain,
( spl10_201
<=> ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_201])]) ).
fof(f2570,plain,
( ! [X0,X1] : sP1(set_intersection2(X0,X1),X1,set_intersection2(X0,X1))
| ~ spl10_33
| ~ spl10_201 ),
inference(superposition,[],[f262,f2317]) ).
fof(f2317,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X1)
| ~ spl10_201 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f262,plain,
( ! [X0,X1] : sP1(X1,X0,set_intersection2(X1,X0))
| ~ spl10_33 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f2766,plain,
( spl10_216
| ~ spl10_6
| ~ spl10_106 ),
inference(avatar_split_clause,[],[f1060,f958,f103,f2764]) ).
fof(f2764,plain,
( spl10_216
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| ~ disjoint(X0,X0)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_216])]) ).
fof(f1060,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| ~ disjoint(X0,X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_6
| ~ spl10_106 ),
inference(superposition,[],[f959,f104]) ).
fof(f2762,plain,
( spl10_215
| ~ spl10_6
| ~ spl10_104 ),
inference(avatar_split_clause,[],[f1048,f950,f103,f2760]) ).
fof(f2760,plain,
( spl10_215
<=> ! [X0,X3,X2,X1] :
( in(sK7(set_intersection2(X1,X2),X3,X0),X1)
| ~ disjoint(X0,X0)
| sP1(set_intersection2(X1,X2),X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_215])]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X1,X2),X3,X0),X1)
| ~ disjoint(X0,X0)
| sP1(set_intersection2(X1,X2),X3,X0) )
| ~ spl10_6
| ~ spl10_104 ),
inference(superposition,[],[f951,f104]) ).
fof(f2758,plain,
( spl10_214
| ~ spl10_6
| ~ spl10_103 ),
inference(avatar_split_clause,[],[f1032,f946,f103,f2756]) ).
fof(f2756,plain,
( spl10_214
<=> ! [X0,X3,X2,X1] :
( in(sK7(set_intersection2(X1,X2),X3,X0),X2)
| ~ disjoint(X0,X0)
| sP1(set_intersection2(X1,X2),X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_214])]) ).
fof(f1032,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X1,X2),X3,X0),X2)
| ~ disjoint(X0,X0)
| sP1(set_intersection2(X1,X2),X3,X0) )
| ~ spl10_6
| ~ spl10_103 ),
inference(superposition,[],[f947,f104]) ).
fof(f2754,plain,
( spl10_213
| ~ spl10_6
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f1014,f942,f103,f2752]) ).
fof(f2752,plain,
( spl10_213
<=> ! [X0,X3,X2,X1] :
( in(sK7(X1,X0,set_intersection2(X2,X3)),X2)
| ~ disjoint(X0,X0)
| sP1(X1,X0,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_213])]) ).
fof(f1014,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X1,X0,set_intersection2(X2,X3)),X2)
| ~ disjoint(X0,X0)
| sP1(X1,X0,set_intersection2(X2,X3)) )
| ~ spl10_6
| ~ spl10_102 ),
inference(superposition,[],[f943,f104]) ).
fof(f2750,plain,
( spl10_212
| ~ spl10_6
| ~ spl10_101 ),
inference(avatar_split_clause,[],[f1000,f938,f103,f2748]) ).
fof(f2748,plain,
( spl10_212
<=> ! [X0,X3,X2,X1] :
( in(sK7(X1,X0,set_intersection2(X2,X3)),X3)
| ~ disjoint(X0,X0)
| sP1(X1,X0,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_212])]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X1,X0,set_intersection2(X2,X3)),X3)
| ~ disjoint(X0,X0)
| sP1(X1,X0,set_intersection2(X2,X3)) )
| ~ spl10_6
| ~ spl10_101 ),
inference(superposition,[],[f939,f104]) ).
fof(f2746,plain,
( spl10_211
| ~ spl10_6
| ~ spl10_100 ),
inference(avatar_split_clause,[],[f989,f934,f103,f2744]) ).
fof(f2744,plain,
( spl10_211
<=> ! [X0,X3,X2,X1] :
( in(sK7(X1,set_intersection2(X2,X3),X0),X2)
| ~ disjoint(X0,X0)
| sP1(X1,set_intersection2(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_211])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X1,set_intersection2(X2,X3),X0),X2)
| ~ disjoint(X0,X0)
| sP1(X1,set_intersection2(X2,X3),X0) )
| ~ spl10_6
| ~ spl10_100 ),
inference(superposition,[],[f935,f104]) ).
fof(f2742,plain,
( spl10_210
| ~ spl10_6
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f975,f930,f103,f2740]) ).
fof(f2740,plain,
( spl10_210
<=> ! [X0,X3,X2,X1] :
( in(sK7(X1,set_intersection2(X2,X3),X0),X3)
| ~ disjoint(X0,X0)
| sP1(X1,set_intersection2(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_210])]) ).
fof(f975,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X1,set_intersection2(X2,X3),X0),X3)
| ~ disjoint(X0,X0)
| sP1(X1,set_intersection2(X2,X3),X0) )
| ~ spl10_6
| ~ spl10_99 ),
inference(superposition,[],[f931,f104]) ).
fof(f2738,plain,
( spl10_209
| ~ spl10_7
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f837,f778,f107,f2736]) ).
fof(f2736,plain,
( spl10_209
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,X3)
| ~ in(X3,sK7(set_intersection2(X1,X0),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_209])]) ).
fof(f837,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X1,X0),X2,X3)
| ~ in(X3,sK7(set_intersection2(X1,X0),X2,X3)) )
| ~ spl10_7
| ~ spl10_87 ),
inference(resolution,[],[f779,f108]) ).
fof(f2734,plain,
( spl10_208
| ~ spl10_7
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f824,f774,f107,f2732]) ).
fof(f2732,plain,
( spl10_208
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),X3)
| ~ in(X3,sK7(X2,set_intersection2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_208])]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X1,X0),X3)
| ~ in(X3,sK7(X2,set_intersection2(X1,X0),X3)) )
| ~ spl10_7
| ~ spl10_86 ),
inference(resolution,[],[f775,f108]) ).
fof(f2730,plain,
( spl10_207
| ~ spl10_7
| ~ spl10_85 ),
inference(avatar_split_clause,[],[f811,f766,f107,f2728]) ).
fof(f2728,plain,
( spl10_207
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0))
| ~ in(X3,sK7(X2,X3,set_intersection2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_207])]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0))
| ~ in(X3,sK7(X2,X3,set_intersection2(X1,X0))) )
| ~ spl10_7
| ~ spl10_85 ),
inference(resolution,[],[f767,f108]) ).
fof(f2546,plain,
( spl10_206
| ~ spl10_7
| ~ spl10_84 ),
inference(avatar_split_clause,[],[f798,f762,f107,f2544]) ).
fof(f2544,plain,
( spl10_206
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0))
| ~ in(X2,sK7(X2,X3,set_intersection2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_206])]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,X3,set_intersection2(X1,X0))
| ~ in(X2,sK7(X2,X3,set_intersection2(X1,X0))) )
| ~ spl10_7
| ~ spl10_84 ),
inference(resolution,[],[f763,f108]) ).
fof(f2425,plain,
( spl10_205
| ~ spl10_18
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f2271,f1966,f161,f2423]) ).
fof(f2423,plain,
( spl10_205
<=> ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_205])]) ).
fof(f161,plain,
( spl10_18
<=> ! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f1966,plain,
( spl10_173
<=> ! [X0,X1] : sP1(X0,set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_173])]) ).
fof(f2271,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X0)
| ~ spl10_18
| ~ spl10_173 ),
inference(resolution,[],[f1967,f162]) ).
fof(f162,plain,
( ! [X2,X0,X1] :
( ~ sP1(X1,X0,X2)
| set_intersection2(X0,X1) = X2 )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f1967,plain,
( ! [X0,X1] : sP1(X0,set_intersection2(X0,X1),set_intersection2(X0,X1))
| ~ spl10_173 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f2330,plain,
( spl10_204
| ~ spl10_16
| ~ spl10_107 ),
inference(avatar_split_clause,[],[f1073,f962,f150,f2328]) ).
fof(f2328,plain,
( spl10_204
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_204])]) ).
fof(f1073,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_107 ),
inference(resolution,[],[f963,f151]) ).
fof(f2326,plain,
( spl10_203
| ~ spl10_36
| ~ spl10_107 ),
inference(avatar_split_clause,[],[f1072,f962,f286,f2324]) ).
fof(f2324,plain,
( spl10_203
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_203])]) ).
fof(f1072,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_107 ),
inference(resolution,[],[f963,f287]) ).
fof(f2322,plain,
( spl10_202
| ~ spl10_16
| ~ spl10_106 ),
inference(avatar_split_clause,[],[f1059,f958,f150,f2320]) ).
fof(f2320,plain,
( spl10_202
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_202])]) ).
fof(f1059,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X4,X5) )
| ~ spl10_16
| ~ spl10_106 ),
inference(resolution,[],[f959,f151]) ).
fof(f2318,plain,
( spl10_201
| ~ spl10_18
| ~ spl10_165 ),
inference(avatar_split_clause,[],[f2182,f1910,f161,f2316]) ).
fof(f1910,plain,
( spl10_165
<=> ! [X0,X1] : sP1(X0,set_intersection2(X1,X0),set_intersection2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_165])]) ).
fof(f2182,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X1)
| ~ spl10_18
| ~ spl10_165 ),
inference(resolution,[],[f1911,f162]) ).
fof(f1911,plain,
( ! [X0,X1] : sP1(X0,set_intersection2(X1,X0),set_intersection2(X1,X0))
| ~ spl10_165 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f2314,plain,
( spl10_200
| ~ spl10_36
| ~ spl10_106 ),
inference(avatar_split_clause,[],[f1058,f958,f286,f2312]) ).
fof(f2312,plain,
( spl10_200
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_200])]) ).
fof(f1058,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X5,X4) )
| ~ spl10_36
| ~ spl10_106 ),
inference(resolution,[],[f959,f287]) ).
fof(f2310,plain,
( spl10_199
| ~ spl10_16
| ~ spl10_104 ),
inference(avatar_split_clause,[],[f1044,f950,f150,f2308]) ).
fof(f2308,plain,
( spl10_199
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(set_intersection2(X2,X3),X4),X5,set_intersection2(X0,X1))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_199])]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(set_intersection2(X2,X3),X4),X5,set_intersection2(X0,X1))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_104 ),
inference(resolution,[],[f951,f151]) ).
fof(f2306,plain,
( spl10_198
| ~ spl10_36
| ~ spl10_104 ),
inference(avatar_split_clause,[],[f1043,f950,f286,f2304]) ).
fof(f2304,plain,
( spl10_198
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(set_intersection2(X2,X3),X4),X5,set_intersection2(X0,X1))
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_198])]) ).
fof(f1043,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(set_intersection2(X2,X3),X4),X5,set_intersection2(X0,X1))
| ~ disjoint(X3,X2) )
| ~ spl10_36
| ~ spl10_104 ),
inference(resolution,[],[f951,f287]) ).
fof(f2302,plain,
( spl10_197
| ~ spl10_16
| ~ spl10_103 ),
inference(avatar_split_clause,[],[f1028,f946,f150,f2300]) ).
fof(f2300,plain,
( spl10_197
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,set_intersection2(X3,X4)),X5,set_intersection2(X0,X1))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_197])]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,set_intersection2(X3,X4)),X5,set_intersection2(X0,X1))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_103 ),
inference(resolution,[],[f947,f151]) ).
fof(f2298,plain,
( spl10_196
| ~ spl10_36
| ~ spl10_103 ),
inference(avatar_split_clause,[],[f1027,f946,f286,f2296]) ).
fof(f2296,plain,
( spl10_196
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,set_intersection2(X3,X4)),X5,set_intersection2(X0,X1))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_196])]) ).
fof(f1027,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(set_intersection2(X2,set_intersection2(X3,X4)),X5,set_intersection2(X0,X1))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_103 ),
inference(resolution,[],[f947,f287]) ).
fof(f2294,plain,
( spl10_195
| ~ spl10_16
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f1013,f942,f150,f2292]) ).
fof(f2292,plain,
( spl10_195
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_195])]) ).
fof(f1013,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_102 ),
inference(resolution,[],[f943,f151]) ).
fof(f2290,plain,
( spl10_194
| ~ spl10_36
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f1012,f942,f286,f2288]) ).
fof(f2288,plain,
( spl10_194
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_194])]) ).
fof(f1012,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(set_intersection2(X3,X4),X5))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_102 ),
inference(resolution,[],[f943,f287]) ).
fof(f2286,plain,
( spl10_193
| ~ spl10_16
| ~ spl10_101 ),
inference(avatar_split_clause,[],[f999,f938,f150,f2284]) ).
fof(f2284,plain,
( spl10_193
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_193])]) ).
fof(f999,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X4,X5) )
| ~ spl10_16
| ~ spl10_101 ),
inference(resolution,[],[f939,f151]) ).
fof(f2282,plain,
( spl10_192
| ~ spl10_36
| ~ spl10_101 ),
inference(avatar_split_clause,[],[f998,f938,f286,f2280]) ).
fof(f2280,plain,
( spl10_192
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_192])]) ).
fof(f998,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X0,X1),set_intersection2(X3,set_intersection2(X4,X5)))
| ~ disjoint(X5,X4) )
| ~ spl10_36
| ~ spl10_101 ),
inference(resolution,[],[f939,f287]) ).
fof(f2278,plain,
( spl10_191
| ~ spl10_16
| ~ spl10_100 ),
inference(avatar_split_clause,[],[f985,f934,f150,f2276]) ).
fof(f2276,plain,
( spl10_191
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(set_intersection2(X3,X4),X5),set_intersection2(X0,X1))
| ~ disjoint(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_191])]) ).
fof(f985,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(set_intersection2(X3,X4),X5),set_intersection2(X0,X1))
| ~ disjoint(X3,X4) )
| ~ spl10_16
| ~ spl10_100 ),
inference(resolution,[],[f935,f151]) ).
fof(f2267,plain,
( spl10_190
| ~ spl10_36
| ~ spl10_100 ),
inference(avatar_split_clause,[],[f984,f934,f286,f2265]) ).
fof(f2265,plain,
( spl10_190
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(set_intersection2(X3,X4),X5),set_intersection2(X0,X1))
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_190])]) ).
fof(f984,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(set_intersection2(X3,X4),X5),set_intersection2(X0,X1))
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_100 ),
inference(resolution,[],[f935,f287]) ).
fof(f2263,plain,
( spl10_189
| ~ spl10_16
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f971,f930,f150,f2261]) ).
fof(f2261,plain,
( spl10_189
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,set_intersection2(X4,X5)),set_intersection2(X0,X1))
| ~ disjoint(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_189])]) ).
fof(f971,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,set_intersection2(X4,X5)),set_intersection2(X0,X1))
| ~ disjoint(X4,X5) )
| ~ spl10_16
| ~ spl10_99 ),
inference(resolution,[],[f931,f151]) ).
fof(f2259,plain,
( spl10_188
| ~ spl10_36
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f970,f930,f286,f2257]) ).
fof(f2257,plain,
( spl10_188
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,set_intersection2(X4,X5)),set_intersection2(X0,X1))
| ~ disjoint(X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_188])]) ).
fof(f970,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ disjoint(X0,X1)
| sP1(X2,set_intersection2(X3,set_intersection2(X4,X5)),set_intersection2(X0,X1))
| ~ disjoint(X5,X4) )
| ~ spl10_36
| ~ spl10_99 ),
inference(resolution,[],[f931,f287]) ).
fof(f2144,plain,
( spl10_187
| ~ spl10_16
| ~ spl10_96 ),
inference(avatar_split_clause,[],[f920,f878,f150,f2142]) ).
fof(f2142,plain,
( spl10_187
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,set_intersection2(set_intersection2(X0,X1),X2))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_187])]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,set_intersection2(set_intersection2(X0,X1),X2))
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_96 ),
inference(resolution,[],[f879,f151]) ).
fof(f2140,plain,
( spl10_186
| ~ spl10_36
| ~ spl10_96 ),
inference(avatar_split_clause,[],[f919,f878,f286,f2138]) ).
fof(f2138,plain,
( spl10_186
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,set_intersection2(set_intersection2(X0,X1),X2))
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_186])]) ).
fof(f919,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(set_intersection2(X0,X1),X2),X3,set_intersection2(set_intersection2(X0,X1),X2))
| ~ disjoint(X1,X0) )
| ~ spl10_36
| ~ spl10_96 ),
inference(resolution,[],[f879,f287]) ).
fof(f2136,plain,
( spl10_185
| ~ spl10_16
| ~ spl10_95 ),
inference(avatar_split_clause,[],[f909,f874,f150,f2134]) ).
fof(f2134,plain,
( spl10_185
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,set_intersection2(X0,set_intersection2(X1,X2)))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_185])]) ).
fof(f909,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,set_intersection2(X0,set_intersection2(X1,X2)))
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_95 ),
inference(resolution,[],[f875,f151]) ).
fof(f2128,plain,
( spl10_184
| ~ spl10_36
| ~ spl10_95 ),
inference(avatar_split_clause,[],[f908,f874,f286,f2126]) ).
fof(f2126,plain,
( spl10_184
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,set_intersection2(X0,set_intersection2(X1,X2)))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_184])]) ).
fof(f908,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(X0,set_intersection2(X1,X2)),X3,set_intersection2(X0,set_intersection2(X1,X2)))
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_95 ),
inference(resolution,[],[f875,f287]) ).
fof(f2124,plain,
( spl10_183
| ~ spl10_16
| ~ spl10_94 ),
inference(avatar_split_clause,[],[f895,f870,f150,f2122]) ).
fof(f2122,plain,
( spl10_183
<=> ! [X0,X3,X2,X1] :
( sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X1,X2),X3))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_183])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X1,X2),X3))
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_94 ),
inference(resolution,[],[f871,f151]) ).
fof(f2120,plain,
( spl10_182
| ~ spl10_36
| ~ spl10_94 ),
inference(avatar_split_clause,[],[f894,f870,f286,f2118]) ).
fof(f2118,plain,
( spl10_182
<=> ! [X0,X3,X2,X1] :
( sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X1,X2),X3))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_182])]) ).
fof(f894,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X1,X2),X3))
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_94 ),
inference(resolution,[],[f871,f287]) ).
fof(f2116,plain,
( spl10_181
| ~ spl10_16
| ~ spl10_93 ),
inference(avatar_split_clause,[],[f886,f866,f150,f2114]) ).
fof(f2114,plain,
( spl10_181
<=> ! [X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),set_intersection2(X1,set_intersection2(X2,X3)))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_181])]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),set_intersection2(X1,set_intersection2(X2,X3)))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_93 ),
inference(resolution,[],[f867,f151]) ).
fof(f2112,plain,
( spl10_180
| ~ spl10_36
| ~ spl10_93 ),
inference(avatar_split_clause,[],[f885,f866,f286,f2110]) ).
fof(f2110,plain,
( spl10_180
<=> ! [X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),set_intersection2(X1,set_intersection2(X2,X3)))
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_180])]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,set_intersection2(X1,set_intersection2(X2,X3)),set_intersection2(X1,set_intersection2(X2,X3)))
| ~ disjoint(X3,X2) )
| ~ spl10_36
| ~ spl10_93 ),
inference(resolution,[],[f867,f287]) ).
fof(f2108,plain,
( spl10_179
| ~ spl10_18
| ~ spl10_80 ),
inference(avatar_split_clause,[],[f710,f650,f161,f2106]) ).
fof(f2106,plain,
( spl10_179
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X3,X2) = set_intersection2(X4,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_179])]) ).
fof(f650,plain,
( spl10_80
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_80])]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X3,X2) = set_intersection2(X4,set_intersection2(X0,X1)) )
| ~ spl10_18
| ~ spl10_80 ),
inference(resolution,[],[f651,f162]) ).
fof(f651,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| ~ disjoint(X4,X3) )
| ~ spl10_80 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f2104,plain,
( spl10_178
| ~ spl10_18
| ~ spl10_79 ),
inference(avatar_split_clause,[],[f700,f646,f161,f2102]) ).
fof(f2102,plain,
( spl10_178
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(X4,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_178])]) ).
fof(f646,plain,
( spl10_79
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_79])]) ).
fof(f700,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(X4,set_intersection2(X2,X3)) )
| ~ spl10_18
| ~ spl10_79 ),
inference(resolution,[],[f647,f162]) ).
fof(f647,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X0,X1) )
| ~ spl10_79 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f2100,plain,
( spl10_177
| ~ spl10_18
| ~ spl10_78 ),
inference(avatar_split_clause,[],[f690,f642,f161,f2098]) ).
fof(f2098,plain,
( spl10_177
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(X4,set_intersection2(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_177])]) ).
fof(f642,plain,
( spl10_78
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_78])]) ).
fof(f690,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(X4,set_intersection2(X3,X2)) )
| ~ spl10_18
| ~ spl10_78 ),
inference(resolution,[],[f643,f162]) ).
fof(f643,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X0) )
| ~ spl10_78 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f2096,plain,
( spl10_176
| ~ spl10_18
| ~ spl10_77 ),
inference(avatar_split_clause,[],[f680,f638,f161,f2094]) ).
fof(f2094,plain,
( spl10_176
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X3,X2) = set_intersection2(set_intersection2(X0,X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_176])]) ).
fof(f638,plain,
( spl10_77
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_77])]) ).
fof(f680,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X3,X2) = set_intersection2(set_intersection2(X0,X1),X4) )
| ~ spl10_18
| ~ spl10_77 ),
inference(resolution,[],[f639,f162]) ).
fof(f639,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| ~ disjoint(X4,X3) )
| ~ spl10_77 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f2092,plain,
( spl10_175
| ~ spl10_18
| ~ spl10_76 ),
inference(avatar_split_clause,[],[f666,f634,f161,f2090]) ).
fof(f2090,plain,
( spl10_175
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X2,X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_175])]) ).
fof(f634,plain,
( spl10_76
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_76])]) ).
fof(f666,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X2,X3),X4) )
| ~ spl10_18
| ~ spl10_76 ),
inference(resolution,[],[f635,f162]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X2) )
| ~ spl10_76 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f2084,plain,
( spl10_174
| ~ spl10_18
| ~ spl10_75 ),
inference(avatar_split_clause,[],[f656,f630,f161,f2082]) ).
fof(f2082,plain,
( spl10_174
<=> ! [X4,X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X3,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_174])]) ).
fof(f630,plain,
( spl10_75
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_75])]) ).
fof(f656,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ disjoint(X0,X1)
| ~ disjoint(X2,X3)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X3,X2),X4) )
| ~ spl10_18
| ~ spl10_75 ),
inference(resolution,[],[f631,f162]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X2,X1) )
| ~ spl10_75 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1968,plain,
( spl10_173
| ~ spl10_94
| ~ spl10_136 ),
inference(avatar_split_clause,[],[f1695,f1634,f870,f1966]) ).
fof(f1634,plain,
( spl10_136
<=> ! [X0,X1] :
( ~ in(sK7(X0,X1,X1),X0)
| sP1(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_136])]) ).
fof(f1695,plain,
( ! [X0,X1] : sP1(X0,set_intersection2(X0,X1),set_intersection2(X0,X1))
| ~ spl10_94
| ~ spl10_136 ),
inference(duplicate_literal_removal,[],[f1657]) ).
fof(f1657,plain,
( ! [X0,X1] :
( sP1(X0,set_intersection2(X0,X1),set_intersection2(X0,X1))
| sP1(X0,set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ spl10_94
| ~ spl10_136 ),
inference(resolution,[],[f1635,f871]) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ in(sK7(X0,X1,X1),X0)
| sP1(X0,X1,X1) )
| ~ spl10_136 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1940,plain,
( spl10_172
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f1306,f1114,f1938]) ).
fof(f1938,plain,
( spl10_172
<=> ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X1),X1)
| sP1(set_intersection2(X0,X1),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_172])]) ).
fof(f1306,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X1),X1)
| sP1(set_intersection2(X0,X1),X2,X1) )
| ~ spl10_116 ),
inference(factoring,[],[f1115]) ).
fof(f1936,plain,
( spl10_171
| ~ spl10_115 ),
inference(avatar_split_clause,[],[f1281,f1110,f1934]) ).
fof(f1934,plain,
( spl10_171
<=> ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X2),X2)
| sP1(X0,set_intersection2(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_171])]) ).
fof(f1281,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X2),X2)
| sP1(X0,set_intersection2(X1,X2),X2) )
| ~ spl10_115 ),
inference(factoring,[],[f1111]) ).
fof(f1932,plain,
( spl10_170
| ~ spl10_114 ),
inference(avatar_split_clause,[],[f1257,f1106,f1930]) ).
fof(f1930,plain,
( spl10_170
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X1)),X1)
| sP1(X0,X1,set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_170])]) ).
fof(f1257,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X1)),X1)
| sP1(X0,X1,set_intersection2(X2,X1)) )
| ~ spl10_114 ),
inference(factoring,[],[f1107]) ).
fof(f1928,plain,
( spl10_169
| ~ spl10_113 ),
inference(avatar_split_clause,[],[f1233,f1102,f1926]) ).
fof(f1926,plain,
( spl10_169
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X0)),X0)
| sP1(X0,X1,set_intersection2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_169])]) ).
fof(f1233,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X0)),X0)
| sP1(X0,X1,set_intersection2(X2,X0)) )
| ~ spl10_113 ),
inference(factoring,[],[f1103]) ).
fof(f1924,plain,
( spl10_168
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f1209,f1098,f1922]) ).
fof(f1922,plain,
( spl10_168
<=> ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X0),X0)
| sP1(set_intersection2(X0,X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_168])]) ).
fof(f1209,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X0),X0)
| sP1(set_intersection2(X0,X1),X2,X0) )
| ~ spl10_112 ),
inference(factoring,[],[f1099]) ).
fof(f1920,plain,
( spl10_167
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f1184,f1094,f1918]) ).
fof(f1918,plain,
( spl10_167
<=> ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X1),X1)
| sP1(X0,set_intersection2(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_167])]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X1),X1)
| sP1(X0,set_intersection2(X1,X2),X1) )
| ~ spl10_111 ),
inference(factoring,[],[f1095]) ).
fof(f1916,plain,
( spl10_166
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f1156,f1090,f1914]) ).
fof(f1914,plain,
( spl10_166
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X1,X2)),X1)
| sP1(X0,X1,set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_166])]) ).
fof(f1156,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X1,X2)),X1)
| sP1(X0,X1,set_intersection2(X1,X2)) )
| ~ spl10_110 ),
inference(factoring,[],[f1091]) ).
fof(f1912,plain,
( spl10_165
| ~ spl10_93
| ~ spl10_136 ),
inference(avatar_split_clause,[],[f1693,f1634,f866,f1910]) ).
fof(f1693,plain,
( ! [X0,X1] : sP1(X0,set_intersection2(X1,X0),set_intersection2(X1,X0))
| ~ spl10_93
| ~ spl10_136 ),
inference(duplicate_literal_removal,[],[f1660]) ).
fof(f1660,plain,
( ! [X0,X1] :
( sP1(X0,set_intersection2(X1,X0),set_intersection2(X1,X0))
| sP1(X0,set_intersection2(X1,X0),set_intersection2(X1,X0)) )
| ~ spl10_93
| ~ spl10_136 ),
inference(resolution,[],[f1635,f867]) ).
fof(f1908,plain,
( spl10_164
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f1132,f1086,f1906]) ).
fof(f1906,plain,
( spl10_164
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X0,X2)),X0)
| sP1(X0,X1,set_intersection2(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_164])]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X0,X2)),X0)
| sP1(X0,X1,set_intersection2(X0,X2)) )
| ~ spl10_109 ),
inference(factoring,[],[f1087]) ).
fof(f1904,plain,
( spl10_163
| ~ spl10_12
| ~ spl10_78 ),
inference(avatar_split_clause,[],[f695,f642,f128,f1902]) ).
fof(f1902,plain,
( spl10_163
<=> ! [X2,X4,X0,X3,X1] :
( sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| ~ disjoint(X0,X1)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_163])]) ).
fof(f695,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X2,X3),X4,set_intersection2(X1,X0))
| ~ disjoint(X0,X1)
| ~ disjoint(X3,X2) )
| ~ spl10_12
| ~ spl10_78 ),
inference(superposition,[],[f643,f129]) ).
fof(f1900,plain,
( spl10_162
| ~ spl10_12
| ~ spl10_75 ),
inference(avatar_split_clause,[],[f661,f630,f128,f1898]) ).
fof(f1898,plain,
( spl10_162
<=> ! [X2,X4,X0,X3,X1] :
( sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| ~ disjoint(X0,X1)
| ~ disjoint(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_162])]) ).
fof(f661,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X2,set_intersection2(X3,X4),set_intersection2(X1,X0))
| ~ disjoint(X0,X1)
| ~ disjoint(X4,X3) )
| ~ spl10_12
| ~ spl10_75 ),
inference(superposition,[],[f631,f129]) ).
fof(f1896,plain,
( spl10_161
| ~ spl10_41
| ~ spl10_46 ),
inference(avatar_split_clause,[],[f429,f382,f337,f1894]) ).
fof(f1894,plain,
( spl10_161
<=> ! [X2,X0,X1] :
( ~ in(unordered_pair(set_intersection2(X0,X1),X2),X0)
| ~ in(unordered_pair(set_intersection2(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_161])]) ).
fof(f337,plain,
( spl10_41
<=> ! [X0,X1] : ~ in(unordered_pair(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_41])]) ).
fof(f429,plain,
( ! [X2,X0,X1] :
( ~ in(unordered_pair(set_intersection2(X0,X1),X2),X0)
| ~ in(unordered_pair(set_intersection2(X0,X1),X2),X1) )
| ~ spl10_41
| ~ spl10_46 ),
inference(resolution,[],[f338,f383]) ).
fof(f338,plain,
( ! [X0,X1] : ~ in(unordered_pair(X0,X1),X0)
| ~ spl10_41 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f1892,plain,
( spl10_160
| ~ spl10_35
| ~ spl10_46 ),
inference(avatar_split_clause,[],[f403,f382,f282,f1890]) ).
fof(f1890,plain,
( spl10_160
<=> ! [X2,X0,X1] :
( ~ in(unordered_pair(X0,set_intersection2(X1,X2)),X1)
| ~ in(unordered_pair(X0,set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_160])]) ).
fof(f282,plain,
( spl10_35
<=> ! [X0,X1] : ~ in(unordered_pair(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( ~ in(unordered_pair(X0,set_intersection2(X1,X2)),X1)
| ~ in(unordered_pair(X0,set_intersection2(X1,X2)),X2) )
| ~ spl10_35
| ~ spl10_46 ),
inference(resolution,[],[f383,f283]) ).
fof(f283,plain,
( ! [X0,X1] : ~ in(unordered_pair(X0,X1),X1)
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f1888,plain,
( spl10_159
| ~ spl10_6
| ~ spl10_91 ),
inference(avatar_split_clause,[],[f862,f794,f103,f1886]) ).
fof(f1886,plain,
( spl10_159
<=> ! [X2,X0,X1] :
( ~ in(X1,sK7(X0,X2,X1))
| ~ disjoint(X0,X0)
| sP1(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_159])]) ).
fof(f794,plain,
( spl10_91
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1)
| ~ in(X3,sK7(set_intersection2(X0,X1),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_91])]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sK7(X0,X2,X1))
| ~ disjoint(X0,X0)
| sP1(X0,X2,X1) )
| ~ spl10_6
| ~ spl10_91 ),
inference(superposition,[],[f795,f104]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X3,sK7(set_intersection2(X0,X1),X2,X3))
| ~ disjoint(X0,X1)
| sP1(set_intersection2(X0,X1),X2,X3) )
| ~ spl10_91 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f1884,plain,
( spl10_158
| ~ spl10_18
| ~ spl10_81 ),
inference(avatar_split_clause,[],[f772,f674,f161,f1882]) ).
fof(f1882,plain,
( spl10_158
<=> ! [X0,X1] :
( ~ disjoint(X0,X0)
| set_intersection2(X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_158])]) ).
fof(f674,plain,
( spl10_81
<=> ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_81])]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X0)
| set_intersection2(X1,X0) = X0 )
| ~ spl10_18
| ~ spl10_81 ),
inference(resolution,[],[f675,f162]) ).
fof(f675,plain,
( ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_81 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1880,plain,
( spl10_157
| ~ spl10_6
| ~ spl10_90 ),
inference(avatar_split_clause,[],[f859,f790,f103,f1878]) ).
fof(f1878,plain,
( spl10_157
<=> ! [X2,X0,X1] :
( ~ in(X1,sK7(X1,X2,X0))
| ~ disjoint(X0,X0)
| sP1(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_157])]) ).
fof(f790,plain,
( spl10_90
<=> ! [X0,X3,X2,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ in(X0,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_90])]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sK7(X1,X2,X0))
| ~ disjoint(X0,X0)
| sP1(X1,X2,X0) )
| ~ spl10_6
| ~ spl10_90 ),
inference(superposition,[],[f791,f104]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X0,sK7(X0,X1,set_intersection2(X2,X3)))
| ~ disjoint(X2,X3)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_90 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1876,plain,
( spl10_156
| ~ spl10_6
| ~ spl10_89 ),
inference(avatar_split_clause,[],[f856,f786,f103,f1874]) ).
fof(f1874,plain,
( spl10_156
<=> ! [X2,X0,X1] :
( ~ in(X1,sK7(X2,X0,X1))
| ~ disjoint(X0,X0)
| sP1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_156])]) ).
fof(f786,plain,
( spl10_89
<=> ! [X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2)
| ~ in(X3,sK7(X0,set_intersection2(X1,X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_89])]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sK7(X2,X0,X1))
| ~ disjoint(X0,X0)
| sP1(X2,X0,X1) )
| ~ spl10_6
| ~ spl10_89 ),
inference(superposition,[],[f787,f104]) ).
fof(f787,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X3,sK7(X0,set_intersection2(X1,X2),X3))
| ~ disjoint(X1,X2)
| sP1(X0,set_intersection2(X1,X2),X3) )
| ~ spl10_89 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1872,plain,
( spl10_155
| ~ spl10_6
| ~ spl10_88 ),
inference(avatar_split_clause,[],[f853,f782,f103,f1870]) ).
fof(f1870,plain,
( spl10_155
<=> ! [X2,X0,X1] :
( ~ in(X1,sK7(X2,X1,X0))
| ~ disjoint(X0,X0)
| sP1(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_155])]) ).
fof(f782,plain,
( spl10_88
<=> ! [X0,X3,X2,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ in(X1,sK7(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_88])]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sK7(X2,X1,X0))
| ~ disjoint(X0,X0)
| sP1(X2,X1,X0) )
| ~ spl10_6
| ~ spl10_88 ),
inference(superposition,[],[f783,f104]) ).
fof(f783,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X1,sK7(X0,X1,set_intersection2(X2,X3)))
| ~ disjoint(X2,X3)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_88 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1840,plain,
( spl10_154
| ~ spl10_18
| ~ spl10_70 ),
inference(avatar_split_clause,[],[f628,f578,f161,f1838]) ).
fof(f1838,plain,
( spl10_154
<=> ! [X0,X1] :
( ~ disjoint(X0,X0)
| set_intersection2(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_154])]) ).
fof(f578,plain,
( spl10_70
<=> ! [X0,X1] :
( sP1(X1,X0,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_70])]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X0)
| set_intersection2(X0,X1) = X0 )
| ~ spl10_18
| ~ spl10_70 ),
inference(resolution,[],[f579,f162]) ).
fof(f579,plain,
( ! [X0,X1] :
( sP1(X1,X0,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_70 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1780,plain,
( spl10_153
| ~ spl10_6
| ~ spl10_80 ),
inference(avatar_split_clause,[],[f711,f650,f103,f1778]) ).
fof(f1778,plain,
( spl10_153
<=> ! [X0,X3,X2,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_153])]) ).
fof(f711,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) )
| ~ spl10_6
| ~ spl10_80 ),
inference(superposition,[],[f651,f104]) ).
fof(f1772,plain,
( spl10_152
| ~ spl10_6
| ~ spl10_79 ),
inference(avatar_split_clause,[],[f704,f646,f103,f1770]) ).
fof(f1770,plain,
( spl10_152
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(X1,X2),X3,X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_152])]) ).
fof(f704,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(X1,X2),X3,X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X1,X2) )
| ~ spl10_6
| ~ spl10_79 ),
inference(superposition,[],[f647,f104]) ).
fof(f1768,plain,
( spl10_151
| ~ spl10_6
| ~ spl10_78 ),
inference(avatar_split_clause,[],[f694,f642,f103,f1766]) ).
fof(f1766,plain,
( spl10_151
<=> ! [X0,X3,X2,X1] :
( sP1(set_intersection2(X1,X2),X3,X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_151])]) ).
fof(f694,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(X1,X2),X3,X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X2,X1) )
| ~ spl10_6
| ~ spl10_78 ),
inference(superposition,[],[f643,f104]) ).
fof(f1764,plain,
( spl10_150
| ~ spl10_6
| ~ spl10_78 ),
inference(avatar_split_clause,[],[f691,f642,f103,f1762]) ).
fof(f1762,plain,
( spl10_150
<=> ! [X0,X3,X2,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_150])]) ).
fof(f691,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_78 ),
inference(superposition,[],[f643,f104]) ).
fof(f1760,plain,
( spl10_149
| ~ spl10_6
| ~ spl10_77 ),
inference(avatar_split_clause,[],[f681,f638,f103,f1758]) ).
fof(f1758,plain,
( spl10_149
<=> ! [X0,X3,X2,X1] :
( sP1(X1,X0,set_intersection2(X2,X3))
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_149])]) ).
fof(f681,plain,
( ! [X2,X3,X0,X1] :
( sP1(X1,X0,set_intersection2(X2,X3))
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) )
| ~ spl10_6
| ~ spl10_77 ),
inference(superposition,[],[f639,f104]) ).
fof(f1756,plain,
( spl10_148
| ~ spl10_6
| ~ spl10_76 ),
inference(avatar_split_clause,[],[f670,f634,f103,f1754]) ).
fof(f1754,plain,
( spl10_148
<=> ! [X0,X3,X2,X1] :
( sP1(X1,set_intersection2(X2,X3),X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_148])]) ).
fof(f670,plain,
( ! [X2,X3,X0,X1] :
( sP1(X1,set_intersection2(X2,X3),X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X2,X3) )
| ~ spl10_6
| ~ spl10_76 ),
inference(superposition,[],[f635,f104]) ).
fof(f1752,plain,
( spl10_147
| ~ spl10_6
| ~ spl10_75 ),
inference(avatar_split_clause,[],[f660,f630,f103,f1750]) ).
fof(f1750,plain,
( spl10_147
<=> ! [X0,X3,X2,X1] :
( sP1(X1,set_intersection2(X2,X3),X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_147])]) ).
fof(f660,plain,
( ! [X2,X3,X0,X1] :
( sP1(X1,set_intersection2(X2,X3),X0)
| ~ disjoint(X0,X0)
| ~ disjoint(X3,X2) )
| ~ spl10_6
| ~ spl10_75 ),
inference(superposition,[],[f631,f104]) ).
fof(f1748,plain,
( spl10_146
| ~ spl10_6
| ~ spl10_75 ),
inference(avatar_split_clause,[],[f657,f630,f103,f1746]) ).
fof(f1746,plain,
( spl10_146
<=> ! [X0,X3,X2,X1] :
( sP1(X1,X0,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_146])]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1] :
( sP1(X1,X0,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_75 ),
inference(superposition,[],[f631,f104]) ).
fof(f1744,plain,
( spl10_145
| ~ spl10_18
| ~ spl10_68 ),
inference(avatar_split_clause,[],[f598,f563,f161,f1742]) ).
fof(f1742,plain,
( spl10_145
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = set_intersection2(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_145])]) ).
fof(f563,plain,
( spl10_68
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_68])]) ).
fof(f598,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = set_intersection2(X2,set_intersection2(X0,X1)) )
| ~ spl10_18
| ~ spl10_68 ),
inference(resolution,[],[f564,f162]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl10_68 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1740,plain,
( spl10_144
| ~ spl10_18
| ~ spl10_67 ),
inference(avatar_split_clause,[],[f591,f559,f161,f1738]) ).
fof(f1738,plain,
( spl10_144
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = set_intersection2(X2,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_144])]) ).
fof(f559,plain,
( spl10_67
<=> ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_67])]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = set_intersection2(X2,set_intersection2(X1,X0)) )
| ~ spl10_18
| ~ spl10_67 ),
inference(resolution,[],[f560,f162]) ).
fof(f560,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X1,X0) )
| ~ spl10_67 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1736,plain,
( spl10_143
| ~ spl10_18
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f584,f555,f161,f1734]) ).
fof(f1734,plain,
( spl10_143
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_143])]) ).
fof(f555,plain,
( spl10_66
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_66])]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = set_intersection2(set_intersection2(X0,X1),X2) )
| ~ spl10_18
| ~ spl10_66 ),
inference(resolution,[],[f556,f162]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f1732,plain,
( spl10_142
| ~ spl10_6
| ~ spl10_108 ),
inference(avatar_split_clause,[],[f1618,f1082,f103,f1730]) ).
fof(f1730,plain,
( spl10_142
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_142])]) ).
fof(f1082,plain,
( spl10_108
<=> ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_108])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_108 ),
inference(superposition,[],[f1083,f104]) ).
fof(f1083,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl10_108 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1728,plain,
( spl10_141
| ~ spl10_18
| ~ spl10_65 ),
inference(avatar_split_clause,[],[f573,f551,f161,f1726]) ).
fof(f1726,plain,
( spl10_141
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = set_intersection2(set_intersection2(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_141])]) ).
fof(f551,plain,
( spl10_65
<=> ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_65])]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = set_intersection2(set_intersection2(X1,X0),X2) )
| ~ spl10_18
| ~ spl10_65 ),
inference(resolution,[],[f552,f162]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl10_65 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f1724,plain,
( spl10_140
| ~ spl10_38
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f524,f512,f294,f1722]) ).
fof(f1722,plain,
( spl10_140
<=> ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_140])]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2)),X1) )
| ~ spl10_38
| ~ spl10_59 ),
inference(resolution,[],[f513,f295]) ).
fof(f1720,plain,
( spl10_139
| ~ spl10_39
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f523,f512,f298,f1718]) ).
fof(f1718,plain,
( spl10_139
<=> ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_139])]) ).
fof(f523,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2)),X2) )
| ~ spl10_39
| ~ spl10_59 ),
inference(resolution,[],[f513,f299]) ).
fof(f1716,plain,
( spl10_138
| ~ spl10_38
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f518,f508,f294,f1714]) ).
fof(f1714,plain,
( spl10_138
<=> ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| in(sK5(set_intersection2(X0,X1),X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_138])]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| in(sK5(set_intersection2(X0,X1),X2),X0) )
| ~ spl10_38
| ~ spl10_58 ),
inference(resolution,[],[f509,f295]) ).
fof(f1712,plain,
( spl10_137
| ~ spl10_39
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f517,f508,f298,f1710]) ).
fof(f1710,plain,
( spl10_137
<=> ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| in(sK5(set_intersection2(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_137])]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| in(sK5(set_intersection2(X0,X1),X2),X1) )
| ~ spl10_39
| ~ spl10_58 ),
inference(resolution,[],[f509,f299]) ).
fof(f1636,plain,
( spl10_136
| ~ spl10_43
| ~ spl10_82 ),
inference(avatar_split_clause,[],[f741,f718,f345,f1634]) ).
fof(f345,plain,
( spl10_43
<=> ! [X0,X1] :
( in(sK7(X0,X1,X1),X1)
| sP1(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_43])]) ).
fof(f718,plain,
( spl10_82
<=> ! [X0,X1] :
( sP1(X0,X1,X1)
| ~ in(sK7(X0,X1,X1),X0)
| ~ in(sK7(X0,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_82])]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ in(sK7(X0,X1,X1),X0)
| sP1(X0,X1,X1) )
| ~ spl10_43
| ~ spl10_82 ),
inference(duplicate_literal_removal,[],[f726]) ).
fof(f726,plain,
( ! [X0,X1] :
( ~ in(sK7(X0,X1,X1),X0)
| sP1(X0,X1,X1)
| sP1(X0,X1,X1) )
| ~ spl10_43
| ~ spl10_82 ),
inference(resolution,[],[f719,f346]) ).
fof(f346,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X1),X1)
| sP1(X0,X1,X1) )
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ in(sK7(X0,X1,X1),X1)
| ~ in(sK7(X0,X1,X1),X0)
| sP1(X0,X1,X1) )
| ~ spl10_82 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f1532,plain,
( spl10_135
| ~ spl10_31
| ~ spl10_46 ),
inference(avatar_split_clause,[],[f404,f382,f239,f1530]) ).
fof(f1530,plain,
( spl10_135
<=> ! [X0,X3,X2,X1] :
( ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_135])]) ).
fof(f239,plain,
( spl10_31
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f404,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| ~ in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_31
| ~ spl10_46 ),
inference(resolution,[],[f383,f240]) ).
fof(f240,plain,
( ! [X2,X0,X1] :
( ~ in(sK7(X0,X1,X2),X2)
| ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X1)
| sP1(X0,X1,X2) )
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f1528,plain,
( spl10_134
| ~ spl10_29
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f387,f378,f231,f1526]) ).
fof(f1526,plain,
( spl10_134
<=> ! [X0,X3,X2,X1] :
( sK6(X1,X2,unordered_pair(X0,X3)) = X0
| sK6(X1,X2,unordered_pair(X0,X3)) = X3
| sK6(X1,X2,unordered_pair(X0,X3)) = X1
| sK6(X1,X2,unordered_pair(X0,X3)) = X2
| sP0(X1,X2,unordered_pair(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_134])]) ).
fof(f231,plain,
( spl10_29
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| in(sK6(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f387,plain,
( ! [X2,X3,X0,X1] :
( sK6(X1,X2,unordered_pair(X0,X3)) = X0
| sK6(X1,X2,unordered_pair(X0,X3)) = X3
| sK6(X1,X2,unordered_pair(X0,X3)) = X1
| sK6(X1,X2,unordered_pair(X0,X3)) = X2
| sP0(X1,X2,unordered_pair(X0,X3)) )
| ~ spl10_29
| ~ spl10_45 ),
inference(resolution,[],[f379,f232]) ).
fof(f232,plain,
( ! [X2,X0,X1] :
( in(sK6(X0,X1,X2),X2)
| sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| sP0(X0,X1,X2) )
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f1488,plain,
( spl10_133
| ~ spl10_45
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f479,f441,f378,f1486]) ).
fof(f1486,plain,
( spl10_133
<=> ! [X4,X0,X3,X2,X1] :
( sP1(set_intersection2(X0,X1),X2,unordered_pair(X3,X4))
| ~ disjoint(X0,X1)
| sK7(set_intersection2(X0,X1),X2,unordered_pair(X3,X4)) = X3
| sK7(set_intersection2(X0,X1),X2,unordered_pair(X3,X4)) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_133])]) ).
fof(f441,plain,
( spl10_54
<=> ! [X0,X3,X2,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_54])]) ).
fof(f479,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,unordered_pair(X3,X4))
| ~ disjoint(X0,X1)
| sK7(set_intersection2(X0,X1),X2,unordered_pair(X3,X4)) = X3
| sK7(set_intersection2(X0,X1),X2,unordered_pair(X3,X4)) = X4 )
| ~ spl10_45
| ~ spl10_54 ),
inference(resolution,[],[f442,f379]) ).
fof(f442,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) )
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1484,plain,
( spl10_132
| ~ spl10_6
| ~ spl10_92 ),
inference(avatar_split_clause,[],[f1396,f850,f103,f1482]) ).
fof(f1482,plain,
( spl10_132
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_132])]) ).
fof(f850,plain,
( spl10_92
<=> ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_92])]) ).
fof(f1396,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_92 ),
inference(superposition,[],[f851,f104]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X1,X0) )
| ~ spl10_92 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f1480,plain,
( spl10_131
| ~ spl10_45
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f468,f437,f378,f1478]) ).
fof(f1478,plain,
( spl10_131
<=> ! [X4,X0,X3,X2,X1] :
( sP1(unordered_pair(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| sK7(unordered_pair(X0,X1),X2,set_intersection2(X3,X4)) = X0
| sK7(unordered_pair(X0,X1),X2,set_intersection2(X3,X4)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_131])]) ).
fof(f437,plain,
( spl10_53
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_53])]) ).
fof(f468,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(unordered_pair(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| sK7(unordered_pair(X0,X1),X2,set_intersection2(X3,X4)) = X0
| sK7(unordered_pair(X0,X1),X2,set_intersection2(X3,X4)) = X1 )
| ~ spl10_45
| ~ spl10_53 ),
inference(resolution,[],[f438,f379]) ).
fof(f438,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl10_53 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f1476,plain,
( spl10_130
| ~ spl10_45
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f457,f433,f378,f1474]) ).
fof(f1474,plain,
( spl10_130
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,set_intersection2(X1,X2),unordered_pair(X3,X4))
| ~ disjoint(X1,X2)
| sK7(X0,set_intersection2(X1,X2),unordered_pair(X3,X4)) = X3
| sK7(X0,set_intersection2(X1,X2),unordered_pair(X3,X4)) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_130])]) ).
fof(f433,plain,
( spl10_52
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_52])]) ).
fof(f457,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),unordered_pair(X3,X4))
| ~ disjoint(X1,X2)
| sK7(X0,set_intersection2(X1,X2),unordered_pair(X3,X4)) = X3
| sK7(X0,set_intersection2(X1,X2),unordered_pair(X3,X4)) = X4 )
| ~ spl10_45
| ~ spl10_52 ),
inference(resolution,[],[f434,f379]) ).
fof(f434,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) )
| ~ spl10_52 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f1472,plain,
( spl10_129
| ~ spl10_45
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f446,f426,f378,f1470]) ).
fof(f1470,plain,
( spl10_129
<=> ! [X4,X0,X3,X2,X1] :
( sP1(X0,unordered_pair(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| sK7(X0,unordered_pair(X1,X2),set_intersection2(X3,X4)) = X1
| sK7(X0,unordered_pair(X1,X2),set_intersection2(X3,X4)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_129])]) ).
fof(f426,plain,
( spl10_51
<=> ! [X0,X3,X2,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_51])]) ).
fof(f446,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,unordered_pair(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| sK7(X0,unordered_pair(X1,X2),set_intersection2(X3,X4)) = X1
| sK7(X0,unordered_pair(X1,X2),set_intersection2(X3,X4)) = X2 )
| ~ spl10_45
| ~ spl10_51 ),
inference(resolution,[],[f427,f379]) ).
fof(f427,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f1402,plain,
( spl10_128
| ~ spl10_28
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f391,f378,f217,f1400]) ).
fof(f1400,plain,
( spl10_128
<=> ! [X0,X3,X2,X1] :
( sK7(unordered_pair(X0,X1),X2,X3) = X0
| sK7(unordered_pair(X0,X1),X2,X3) = X1
| in(sK7(unordered_pair(X0,X1),X2,X3),X3)
| sP1(unordered_pair(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_128])]) ).
fof(f217,plain,
( spl10_28
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK7(X0,X1,X2),X0)
| in(sK7(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f391,plain,
( ! [X2,X3,X0,X1] :
( sK7(unordered_pair(X0,X1),X2,X3) = X0
| sK7(unordered_pair(X0,X1),X2,X3) = X1
| in(sK7(unordered_pair(X0,X1),X2,X3),X3)
| sP1(unordered_pair(X0,X1),X2,X3) )
| ~ spl10_28
| ~ spl10_45 ),
inference(resolution,[],[f379,f218]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| in(sK7(X0,X1,X2),X0)
| sP1(X0,X1,X2) )
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f1387,plain,
( spl10_127
| ~ spl10_27
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f390,f378,f213,f1385]) ).
fof(f1385,plain,
( spl10_127
<=> ! [X0,X3,X2,X1] :
( sK7(X1,unordered_pair(X0,X2),X3) = X0
| sK7(X1,unordered_pair(X0,X2),X3) = X2
| in(sK7(X1,unordered_pair(X0,X2),X3),X3)
| sP1(X1,unordered_pair(X0,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_127])]) ).
fof(f213,plain,
( spl10_27
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK7(X0,X1,X2),X1)
| in(sK7(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
fof(f390,plain,
( ! [X2,X3,X0,X1] :
( sK7(X1,unordered_pair(X0,X2),X3) = X0
| sK7(X1,unordered_pair(X0,X2),X3) = X2
| in(sK7(X1,unordered_pair(X0,X2),X3),X3)
| sP1(X1,unordered_pair(X0,X2),X3) )
| ~ spl10_27
| ~ spl10_45 ),
inference(resolution,[],[f379,f214]) ).
fof(f214,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| in(sK7(X0,X1,X2),X1)
| sP1(X0,X1,X2) )
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f1383,plain,
( spl10_126
| ~ spl10_27
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f389,f378,f213,f1381]) ).
fof(f1381,plain,
( spl10_126
<=> ! [X0,X3,X2,X1] :
( sK7(X1,X2,unordered_pair(X0,X3)) = X0
| sK7(X1,X2,unordered_pair(X0,X3)) = X3
| in(sK7(X1,X2,unordered_pair(X0,X3)),X2)
| sP1(X1,X2,unordered_pair(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_126])]) ).
fof(f389,plain,
( ! [X2,X3,X0,X1] :
( sK7(X1,X2,unordered_pair(X0,X3)) = X0
| sK7(X1,X2,unordered_pair(X0,X3)) = X3
| in(sK7(X1,X2,unordered_pair(X0,X3)),X2)
| sP1(X1,X2,unordered_pair(X0,X3)) )
| ~ spl10_27
| ~ spl10_45 ),
inference(resolution,[],[f379,f214]) ).
fof(f1379,plain,
( spl10_125
| ~ spl10_28
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f388,f378,f217,f1377]) ).
fof(f1377,plain,
( spl10_125
<=> ! [X0,X3,X2,X1] :
( sK7(X1,X2,unordered_pair(X0,X3)) = X0
| sK7(X1,X2,unordered_pair(X0,X3)) = X3
| in(sK7(X1,X2,unordered_pair(X0,X3)),X1)
| sP1(X1,X2,unordered_pair(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_125])]) ).
fof(f388,plain,
( ! [X2,X3,X0,X1] :
( sK7(X1,X2,unordered_pair(X0,X3)) = X0
| sK7(X1,X2,unordered_pair(X0,X3)) = X3
| in(sK7(X1,X2,unordered_pair(X0,X3)),X1)
| sP1(X1,X2,unordered_pair(X0,X3)) )
| ~ spl10_28
| ~ spl10_45 ),
inference(resolution,[],[f379,f218]) ).
fof(f1375,plain,
( spl10_124
| ~ spl10_29
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f324,f298,f231,f1373]) ).
fof(f1373,plain,
( spl10_124
<=> ! [X0,X3,X2,X1] :
( in(sK6(X0,X1,set_intersection2(X2,X3)),X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_124])]) ).
fof(f324,plain,
( ! [X2,X3,X0,X1] :
( in(sK6(X0,X1,set_intersection2(X2,X3)),X3)
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_29
| ~ spl10_39 ),
inference(resolution,[],[f299,f232]) ).
fof(f1371,plain,
( spl10_123
| ~ spl10_29
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f315,f294,f231,f1369]) ).
fof(f1369,plain,
( spl10_123
<=> ! [X0,X3,X2,X1] :
( in(sK6(X0,X1,set_intersection2(X2,X3)),X2)
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_123])]) ).
fof(f315,plain,
( ! [X2,X3,X0,X1] :
( in(sK6(X0,X1,set_intersection2(X2,X3)),X2)
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_29
| ~ spl10_38 ),
inference(resolution,[],[f295,f232]) ).
fof(f1355,plain,
( spl10_122
| ~ spl10_44
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f393,f378,f349,f1353]) ).
fof(f1353,plain,
( spl10_122
<=> ! [X2,X0,X1] :
( sK7(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) = X0
| sK7(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) = X1
| sP1(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_122])]) ).
fof(f349,plain,
( spl10_44
<=> ! [X0,X1] :
( in(sK7(X0,X1,X0),X0)
| sP1(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_44])]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( sK7(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) = X0
| sK7(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) = X1
| sP1(unordered_pair(X0,X1),X2,unordered_pair(X0,X1)) )
| ~ spl10_44
| ~ spl10_45 ),
inference(resolution,[],[f379,f350]) ).
fof(f350,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X0),X0)
| sP1(X0,X1,X0) )
| ~ spl10_44 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1351,plain,
( spl10_121
| ~ spl10_43
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f392,f378,f345,f1349]) ).
fof(f1349,plain,
( spl10_121
<=> ! [X2,X0,X1] :
( sK7(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) = X0
| sK7(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) = X2
| sP1(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_121])]) ).
fof(f392,plain,
( ! [X2,X0,X1] :
( sK7(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) = X0
| sK7(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) = X2
| sP1(X1,unordered_pair(X0,X2),unordered_pair(X0,X2)) )
| ~ spl10_43
| ~ spl10_45 ),
inference(resolution,[],[f379,f346]) ).
fof(f1340,plain,
( spl10_120
| ~ spl10_29
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f302,f286,f231,f1338]) ).
fof(f1338,plain,
( spl10_120
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| sK6(X2,X3,set_intersection2(X1,X0)) = X2
| sK6(X2,X3,set_intersection2(X1,X0)) = X3
| sP0(X2,X3,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_120])]) ).
fof(f302,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| sK6(X2,X3,set_intersection2(X1,X0)) = X2
| sK6(X2,X3,set_intersection2(X1,X0)) = X3
| sP0(X2,X3,set_intersection2(X1,X0)) )
| ~ spl10_29
| ~ spl10_36 ),
inference(resolution,[],[f287,f232]) ).
fof(f1322,plain,
( spl10_119
| ~ spl10_13
| ~ spl10_56 ),
inference(avatar_split_clause,[],[f503,f493,f132,f1320]) ).
fof(f1320,plain,
( spl10_119
<=> ! [X0,X3,X2,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| in(X0,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_119])]) ).
fof(f132,plain,
( spl10_13
<=> ! [X2,X1,X4] :
( in(X4,X2)
| ~ sP0(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f493,plain,
( spl10_56
<=> ! [X0,X3,X2,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_56])]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| in(X0,set_intersection2(X2,X3)) )
| ~ spl10_13
| ~ spl10_56 ),
inference(resolution,[],[f494,f133]) ).
fof(f133,plain,
( ! [X2,X1,X4] :
( ~ sP0(X4,X1,X2)
| in(X4,X2) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3) )
| ~ spl10_56 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f1318,plain,
( spl10_118
| ~ spl10_15
| ~ spl10_56 ),
inference(avatar_split_clause,[],[f502,f493,f140,f1316]) ).
fof(f140,plain,
( spl10_15
<=> ! [X2,X0,X4] :
( in(X4,X2)
| ~ sP0(X0,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sK6(X0,X1,set_intersection2(X2,X3)) = X0
| ~ disjoint(X2,X3)
| in(X1,set_intersection2(X2,X3)) )
| ~ spl10_15
| ~ spl10_56 ),
inference(resolution,[],[f494,f141]) ).
fof(f141,plain,
( ! [X2,X0,X4] :
( ~ sP0(X0,X4,X2)
| in(X4,X2) )
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f1168,plain,
( spl10_117
| ~ spl10_16
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f526,f512,f150,f1166]) ).
fof(f1166,plain,
( spl10_117
<=> ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_117])]) ).
fof(f526,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_59 ),
inference(resolution,[],[f513,f151]) ).
fof(f1116,plain,
( spl10_116
| ~ spl10_28
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f328,f298,f217,f1114]) ).
fof(f328,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X1)
| in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3) )
| ~ spl10_28
| ~ spl10_39 ),
inference(resolution,[],[f299,f218]) ).
fof(f1112,plain,
( spl10_115
| ~ spl10_27
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f327,f298,f213,f1110]) ).
fof(f327,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X2)
| in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3) )
| ~ spl10_27
| ~ spl10_39 ),
inference(resolution,[],[f299,f214]) ).
fof(f1108,plain,
( spl10_114
| ~ spl10_27
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f326,f298,f213,f1106]) ).
fof(f326,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_27
| ~ spl10_39 ),
inference(resolution,[],[f299,f214]) ).
fof(f1104,plain,
( spl10_113
| ~ spl10_28
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f325,f298,f217,f1102]) ).
fof(f325,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_28
| ~ spl10_39 ),
inference(resolution,[],[f299,f218]) ).
fof(f1100,plain,
( spl10_112
| ~ spl10_28
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f319,f294,f217,f1098]) ).
fof(f319,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X0)
| in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3) )
| ~ spl10_28
| ~ spl10_38 ),
inference(resolution,[],[f295,f218]) ).
fof(f1096,plain,
( spl10_111
| ~ spl10_27
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f318,f294,f213,f1094]) ).
fof(f318,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X1)
| in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3) )
| ~ spl10_27
| ~ spl10_38 ),
inference(resolution,[],[f295,f214]) ).
fof(f1092,plain,
( spl10_110
| ~ spl10_27
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f317,f294,f213,f1090]) ).
fof(f317,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_27
| ~ spl10_38 ),
inference(resolution,[],[f295,f214]) ).
fof(f1088,plain,
( spl10_109
| ~ spl10_28
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f316,f294,f217,f1086]) ).
fof(f316,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3)) )
| ~ spl10_28
| ~ spl10_38 ),
inference(resolution,[],[f295,f218]) ).
fof(f1084,plain,
( spl10_108
| ~ spl10_36
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f525,f512,f286,f1082]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_59 ),
inference(resolution,[],[f513,f287]) ).
fof(f964,plain,
( spl10_107
| ~ spl10_38
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f481,f441,f294,f962]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X3) )
| ~ spl10_38
| ~ spl10_54 ),
inference(resolution,[],[f442,f295]) ).
fof(f960,plain,
( spl10_106
| ~ spl10_39
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f480,f441,f298,f958]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X4) )
| ~ spl10_39
| ~ spl10_54 ),
inference(resolution,[],[f442,f299]) ).
fof(f956,plain,
( spl10_105
| ~ spl10_7
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f521,f512,f107,f954]) ).
fof(f954,plain,
( spl10_105
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X1,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_105])]) ).
fof(f521,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X1,sK5(X0,X1)) )
| ~ spl10_7
| ~ spl10_59 ),
inference(resolution,[],[f513,f108]) ).
fof(f952,plain,
( spl10_104
| ~ spl10_38
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f470,f437,f294,f950]) ).
fof(f470,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X0) )
| ~ spl10_38
| ~ spl10_53 ),
inference(resolution,[],[f438,f295]) ).
fof(f948,plain,
( spl10_103
| ~ spl10_39
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f469,f437,f298,f946]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X3,X4)),X1) )
| ~ spl10_39
| ~ spl10_53 ),
inference(resolution,[],[f438,f299]) ).
fof(f944,plain,
( spl10_102
| ~ spl10_38
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f459,f433,f294,f942]) ).
fof(f459,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X3) )
| ~ spl10_38
| ~ spl10_52 ),
inference(resolution,[],[f434,f295]) ).
fof(f940,plain,
( spl10_101
| ~ spl10_39
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f458,f433,f298,f938]) ).
fof(f458,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X4) )
| ~ spl10_39
| ~ spl10_52 ),
inference(resolution,[],[f434,f299]) ).
fof(f936,plain,
( spl10_100
| ~ spl10_38
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f448,f426,f294,f934]) ).
fof(f448,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X1) )
| ~ spl10_38
| ~ spl10_51 ),
inference(resolution,[],[f427,f295]) ).
fof(f932,plain,
( spl10_99
| ~ spl10_39
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f447,f426,f298,f930]) ).
fof(f447,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X3,X4)),X2) )
| ~ spl10_39
| ~ spl10_51 ),
inference(resolution,[],[f427,f299]) ).
fof(f928,plain,
( spl10_98
| ~ spl10_6
| ~ spl10_56 ),
inference(avatar_split_clause,[],[f504,f493,f103,f926]) ).
fof(f926,plain,
( spl10_98
<=> ! [X2,X0,X1] :
( sP0(X1,X2,X0)
| sK6(X1,X2,X0) = X2
| sK6(X1,X2,X0) = X1
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_98])]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( sP0(X1,X2,X0)
| sK6(X1,X2,X0) = X2
| sK6(X1,X2,X0) = X1
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_56 ),
inference(superposition,[],[f494,f104]) ).
fof(f902,plain,
( spl10_97
| ~ spl10_16
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f520,f508,f150,f900]) ).
fof(f900,plain,
( spl10_97
<=> ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_97])]) ).
fof(f520,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_58 ),
inference(resolution,[],[f509,f151]) ).
fof(f880,plain,
( spl10_96
| ~ spl10_38
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f373,f349,f294,f878]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0) )
| ~ spl10_38
| ~ spl10_44 ),
inference(resolution,[],[f350,f295]) ).
fof(f876,plain,
( spl10_95
| ~ spl10_39
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f372,f349,f298,f874]) ).
fof(f372,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK7(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1) )
| ~ spl10_39
| ~ spl10_44 ),
inference(resolution,[],[f350,f299]) ).
fof(f872,plain,
( spl10_94
| ~ spl10_38
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f366,f345,f294,f870]) ).
fof(f366,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1) )
| ~ spl10_38
| ~ spl10_43 ),
inference(resolution,[],[f346,f295]) ).
fof(f868,plain,
( spl10_93
| ~ spl10_39
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f365,f345,f298,f866]) ).
fof(f365,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK7(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2) )
| ~ spl10_39
| ~ spl10_43 ),
inference(resolution,[],[f346,f299]) ).
fof(f852,plain,
( spl10_92
| ~ spl10_36
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f519,f508,f286,f850]) ).
fof(f519,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X1,X0) )
| ~ spl10_36
| ~ spl10_58 ),
inference(resolution,[],[f509,f287]) ).
fof(f796,plain,
( spl10_91
| ~ spl10_7
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f477,f441,f107,f794]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1)
| ~ in(X3,sK7(set_intersection2(X0,X1),X2,X3)) )
| ~ spl10_7
| ~ spl10_54 ),
inference(resolution,[],[f442,f108]) ).
fof(f792,plain,
( spl10_90
| ~ spl10_7
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f466,f437,f107,f790]) ).
fof(f466,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ in(X0,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_53 ),
inference(resolution,[],[f438,f108]) ).
fof(f788,plain,
( spl10_89
| ~ spl10_7
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f455,f433,f107,f786]) ).
fof(f455,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2)
| ~ in(X3,sK7(X0,set_intersection2(X1,X2),X3)) )
| ~ spl10_7
| ~ spl10_52 ),
inference(resolution,[],[f434,f108]) ).
fof(f784,plain,
( spl10_88
| ~ spl10_7
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f444,f426,f107,f782]) ).
fof(f444,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3)
| ~ in(X1,sK7(X0,X1,set_intersection2(X2,X3))) )
| ~ spl10_7
| ~ spl10_51 ),
inference(resolution,[],[f427,f108]) ).
fof(f780,plain,
( spl10_87
| ~ spl10_28
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f306,f286,f217,f778]) ).
fof(f306,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| in(sK7(set_intersection2(X1,X0),X2,X3),X3)
| sP1(set_intersection2(X1,X0),X2,X3) )
| ~ spl10_28
| ~ spl10_36 ),
inference(resolution,[],[f287,f218]) ).
fof(f776,plain,
( spl10_86
| ~ spl10_27
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f305,f286,f213,f774]) ).
fof(f305,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,set_intersection2(X1,X0),X3),X3)
| sP1(X2,set_intersection2(X1,X0),X3) )
| ~ spl10_27
| ~ spl10_36 ),
inference(resolution,[],[f287,f214]) ).
fof(f768,plain,
( spl10_85
| ~ spl10_27
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f304,f286,f213,f766]) ).
fof(f304,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,X3,set_intersection2(X1,X0)),X3)
| sP1(X2,X3,set_intersection2(X1,X0)) )
| ~ spl10_27
| ~ spl10_36 ),
inference(resolution,[],[f287,f214]) ).
fof(f764,plain,
( spl10_84
| ~ spl10_28
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f303,f286,f217,f762]) ).
fof(f303,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| in(sK7(X2,X3,set_intersection2(X1,X0)),X2)
| sP1(X2,X3,set_intersection2(X1,X0)) )
| ~ spl10_28
| ~ spl10_36 ),
inference(resolution,[],[f287,f218]) ).
fof(f724,plain,
( spl10_83
| ~ spl10_31
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f376,f349,f239,f722]) ).
fof(f722,plain,
( spl10_83
<=> ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ in(sK7(X0,X1,X0),X0)
| ~ in(sK7(X0,X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_83])]) ).
fof(f376,plain,
( ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ in(sK7(X0,X1,X0),X0)
| ~ in(sK7(X0,X1,X0),X1) )
| ~ spl10_31
| ~ spl10_44 ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f371,plain,
( ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ in(sK7(X0,X1,X0),X0)
| ~ in(sK7(X0,X1,X0),X1)
| sP1(X0,X1,X0) )
| ~ spl10_31
| ~ spl10_44 ),
inference(resolution,[],[f350,f240]) ).
fof(f720,plain,
( spl10_82
| ~ spl10_31
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f369,f345,f239,f718]) ).
fof(f369,plain,
( ! [X0,X1] :
( sP1(X0,X1,X1)
| ~ in(sK7(X0,X1,X1),X0)
| ~ in(sK7(X0,X1,X1),X1) )
| ~ spl10_31
| ~ spl10_43 ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
( ! [X0,X1] :
( sP1(X0,X1,X1)
| ~ in(sK7(X0,X1,X1),X0)
| ~ in(sK7(X0,X1,X1),X1)
| sP1(X0,X1,X1) )
| ~ spl10_31
| ~ spl10_43 ),
inference(resolution,[],[f346,f240]) ).
fof(f676,plain,
( spl10_81
| ~ spl10_6
| ~ spl10_67 ),
inference(avatar_split_clause,[],[f592,f559,f103,f674]) ).
fof(f592,plain,
( ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_67 ),
inference(superposition,[],[f560,f104]) ).
fof(f652,plain,
( spl10_80
| ~ spl10_36
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f482,f441,f286,f650]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X0,X1)
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_54 ),
inference(resolution,[],[f442,f287]) ).
fof(f648,plain,
( spl10_79
| ~ spl10_16
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f472,f437,f150,f646]) ).
fof(f472,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_53 ),
inference(resolution,[],[f438,f151]) ).
fof(f644,plain,
( spl10_78
| ~ spl10_36
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f471,f437,f286,f642]) ).
fof(f471,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X0) )
| ~ spl10_36
| ~ spl10_53 ),
inference(resolution,[],[f438,f287]) ).
fof(f640,plain,
( spl10_77
| ~ spl10_36
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f460,f433,f286,f638]) ).
fof(f460,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X1,X2)
| ~ disjoint(X4,X3) )
| ~ spl10_36
| ~ spl10_52 ),
inference(resolution,[],[f434,f287]) ).
fof(f636,plain,
( spl10_76
| ~ spl10_16
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f450,f426,f150,f634]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_51 ),
inference(resolution,[],[f427,f151]) ).
fof(f632,plain,
( spl10_75
| ~ spl10_36
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f449,f426,f286,f630]) ).
fof(f449,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X3,X4))
| ~ disjoint(X3,X4)
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_51 ),
inference(resolution,[],[f427,f287]) ).
fof(f624,plain,
( spl10_74
| ~ spl10_6
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f484,f441,f103,f622]) ).
fof(f622,plain,
( spl10_74
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_74])]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_54 ),
inference(superposition,[],[f442,f104]) ).
fof(f620,plain,
( spl10_73
| ~ spl10_6
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f473,f437,f103,f618]) ).
fof(f618,plain,
( spl10_73
<=> ! [X2,X0,X1] :
( in(sK7(X1,X2,X0),X1)
| sP1(X1,X2,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_73])]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( in(sK7(X1,X2,X0),X1)
| sP1(X1,X2,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_53 ),
inference(superposition,[],[f438,f104]) ).
fof(f616,plain,
( spl10_72
| ~ spl10_6
| ~ spl10_52 ),
inference(avatar_split_clause,[],[f462,f433,f103,f614]) ).
fof(f614,plain,
( spl10_72
<=> ! [X2,X0,X1] :
( in(sK7(X1,X0,X2),X2)
| sP1(X1,X0,X2)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_72])]) ).
fof(f462,plain,
( ! [X2,X0,X1] :
( in(sK7(X1,X0,X2),X2)
| sP1(X1,X0,X2)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_52 ),
inference(superposition,[],[f434,f104]) ).
fof(f612,plain,
( spl10_71
| ~ spl10_6
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f451,f426,f103,f610]) ).
fof(f610,plain,
( spl10_71
<=> ! [X2,X0,X1] :
( in(sK7(X1,X2,X0),X2)
| sP1(X1,X2,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_71])]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( in(sK7(X1,X2,X0),X2)
| sP1(X1,X2,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_51 ),
inference(superposition,[],[f427,f104]) ).
fof(f580,plain,
( spl10_70
| ~ spl10_6
| ~ spl10_65 ),
inference(avatar_split_clause,[],[f574,f551,f103,f578]) ).
fof(f574,plain,
( ! [X0,X1] :
( sP1(X1,X0,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_65 ),
inference(superposition,[],[f552,f104]) ).
fof(f569,plain,
( spl10_69
| ~ spl10_7
| ~ spl10_46 ),
inference(avatar_split_clause,[],[f402,f382,f107,f567]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) )
| ~ spl10_7
| ~ spl10_46 ),
inference(resolution,[],[f383,f108]) ).
fof(f565,plain,
( spl10_68
| ~ spl10_16
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f375,f349,f150,f563]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_44 ),
inference(resolution,[],[f350,f151]) ).
fof(f561,plain,
( spl10_67
| ~ spl10_36
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f374,f349,f286,f559]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( sP1(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X1,X0) )
| ~ spl10_36
| ~ spl10_44 ),
inference(resolution,[],[f350,f287]) ).
fof(f557,plain,
( spl10_66
| ~ spl10_16
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f368,f345,f150,f555]) ).
fof(f368,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_43 ),
inference(resolution,[],[f346,f151]) ).
fof(f553,plain,
( spl10_65
| ~ spl10_36
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f367,f345,f286,f551]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( sP1(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_43 ),
inference(resolution,[],[f346,f287]) ).
fof(f546,plain,
( spl10_64
| ~ spl10_7
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f370,f349,f107,f544]) ).
fof(f544,plain,
( spl10_64
<=> ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ in(X0,sK7(X0,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_64])]) ).
fof(f370,plain,
( ! [X0,X1] :
( sP1(X0,X1,X0)
| ~ in(X0,sK7(X0,X1,X0)) )
| ~ spl10_7
| ~ spl10_44 ),
inference(resolution,[],[f350,f108]) ).
fof(f542,plain,
( spl10_63
| ~ spl10_7
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f515,f508,f107,f540]) ).
fof(f540,plain,
( spl10_63
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X0,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_63])]) ).
fof(f515,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X0,sK5(X0,X1)) )
| ~ spl10_7
| ~ spl10_58 ),
inference(resolution,[],[f509,f108]) ).
fof(f538,plain,
( spl10_62
| ~ spl10_7
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f363,f345,f107,f536]) ).
fof(f536,plain,
( spl10_62
<=> ! [X0,X1] :
( sP1(X0,X1,X1)
| ~ in(X1,sK7(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_62])]) ).
fof(f363,plain,
( ! [X0,X1] :
( sP1(X0,X1,X1)
| ~ in(X1,sK7(X0,X1,X1)) )
| ~ spl10_7
| ~ spl10_43 ),
inference(resolution,[],[f346,f108]) ).
fof(f534,plain,
( spl10_61
| ~ spl10_12
| ~ spl10_40 ),
inference(avatar_split_clause,[],[f353,f333,f128,f532]) ).
fof(f532,plain,
( spl10_61
<=> ! [X0,X1] :
( ~ in(set_intersection2(X1,X0),sK5(X0,X1))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_61])]) ).
fof(f333,plain,
( spl10_40
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(set_intersection2(X0,X1),sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_40])]) ).
fof(f353,plain,
( ! [X0,X1] :
( ~ in(set_intersection2(X1,X0),sK5(X0,X1))
| disjoint(X0,X1) )
| ~ spl10_12
| ~ spl10_40 ),
inference(superposition,[],[f334,f129]) ).
fof(f334,plain,
( ! [X0,X1] :
( ~ in(set_intersection2(X0,X1),sK5(X0,X1))
| disjoint(X0,X1) )
| ~ spl10_40 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f530,plain,
( spl10_60
| ~ spl10_36
| ~ spl10_46 ),
inference(avatar_split_clause,[],[f400,f382,f286,f528]) ).
fof(f528,plain,
( spl10_60
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_60])]) ).
fof(f400,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ disjoint(X2,X1) )
| ~ spl10_36
| ~ spl10_46 ),
inference(resolution,[],[f383,f287]) ).
fof(f514,plain,
( spl10_59
| ~ spl10_19
| ~ spl10_39 ),
inference(avatar_split_clause,[],[f323,f298,f168,f512]) ).
fof(f168,plain,
( spl10_19
<=> ! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f323,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) )
| ~ spl10_19
| ~ spl10_39 ),
inference(resolution,[],[f299,f169]) ).
fof(f169,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) )
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f510,plain,
( spl10_58
| ~ spl10_19
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f313,f294,f168,f508]) ).
fof(f313,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) )
| ~ spl10_19
| ~ spl10_38 ),
inference(resolution,[],[f295,f169]) ).
fof(f499,plain,
( spl10_57
| ~ spl10_7
| ~ spl10_37 ),
inference(avatar_split_clause,[],[f310,f290,f107,f497]) ).
fof(f497,plain,
( spl10_57
<=> ! [X0] :
( disjoint(X0,X0)
| ~ in(X0,sK5(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_57])]) ).
fof(f290,plain,
( spl10_37
<=> ! [X0] :
( in(sK5(X0,X0),X0)
| disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_37])]) ).
fof(f310,plain,
( ! [X0] :
( disjoint(X0,X0)
| ~ in(X0,sK5(X0,X0)) )
| ~ spl10_7
| ~ spl10_37 ),
inference(resolution,[],[f291,f108]) ).
fof(f291,plain,
( ! [X0] :
( in(sK5(X0,X0),X0)
| disjoint(X0,X0) )
| ~ spl10_37 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f495,plain,
( spl10_56
| ~ spl10_16
| ~ spl10_29 ),
inference(avatar_split_clause,[],[f243,f231,f150,f493]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( sK6(X0,X1,set_intersection2(X2,X3)) = X0
| sK6(X0,X1,set_intersection2(X2,X3)) = X1
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_29 ),
inference(resolution,[],[f232,f151]) ).
fof(f491,plain,
( spl10_55
| ~ spl10_7
| ~ spl10_29 ),
inference(avatar_split_clause,[],[f242,f231,f107,f489]) ).
fof(f489,plain,
( spl10_55
<=> ! [X2,X0,X1] :
( sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| sP0(X0,X1,X2)
| ~ in(X2,sK6(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_55])]) ).
fof(f242,plain,
( ! [X2,X0,X1] :
( sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| sP0(X0,X1,X2)
| ~ in(X2,sK6(X0,X1,X2)) )
| ~ spl10_7
| ~ spl10_29 ),
inference(resolution,[],[f232,f108]) ).
fof(f443,plain,
( spl10_54
| ~ spl10_16
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f228,f217,f150,f441]) ).
fof(f228,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2,X3),X3)
| sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) )
| ~ spl10_16
| ~ spl10_28 ),
inference(resolution,[],[f218,f151]) ).
fof(f439,plain,
( spl10_53
| ~ spl10_16
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f226,f217,f150,f437]) ).
fof(f226,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_28 ),
inference(resolution,[],[f218,f151]) ).
fof(f435,plain,
( spl10_52
| ~ spl10_16
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f223,f213,f150,f433]) ).
fof(f223,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,set_intersection2(X1,X2),X3),X3)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) )
| ~ spl10_16
| ~ spl10_27 ),
inference(resolution,[],[f214,f151]) ).
fof(f428,plain,
( spl10_51
| ~ spl10_16
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f221,f213,f150,f426]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X0,X1,set_intersection2(X2,X3)),X1)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl10_16
| ~ spl10_27 ),
inference(resolution,[],[f214,f151]) ).
fof(f424,plain,
( spl10_50
| ~ spl10_7
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f227,f217,f107,f422]) ).
fof(f422,plain,
( spl10_50
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ in(X0,sK7(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_50])]) ).
fof(f227,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ in(X0,sK7(X0,X1,X2)) )
| ~ spl10_7
| ~ spl10_28 ),
inference(resolution,[],[f218,f108]) ).
fof(f420,plain,
( spl10_49
| ~ spl10_7
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f225,f217,f107,f418]) ).
fof(f418,plain,
( spl10_49
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X2,sK7(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_49])]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X2,sK7(X0,X1,X2)) )
| ~ spl10_7
| ~ spl10_28 ),
inference(resolution,[],[f218,f108]) ).
fof(f416,plain,
( spl10_48
| ~ spl10_7
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f222,f213,f107,f414]) ).
fof(f414,plain,
( spl10_48
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ in(X1,sK7(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_48])]) ).
fof(f222,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| ~ in(X1,sK7(X0,X1,X2)) )
| ~ spl10_7
| ~ spl10_27 ),
inference(resolution,[],[f214,f108]) ).
fof(f412,plain,
( spl10_47
| ~ spl10_7
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f220,f213,f107,f410]) ).
fof(f410,plain,
( spl10_47
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ in(X2,sK7(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_47])]) ).
fof(f220,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ in(X2,sK7(X0,X1,X2)) )
| ~ spl10_7
| ~ spl10_27 ),
inference(resolution,[],[f214,f108]) ).
fof(f384,plain,
( spl10_46
| ~ spl10_10
| ~ spl10_23 ),
inference(avatar_split_clause,[],[f209,f193,f119,f382]) ).
fof(f119,plain,
( spl10_10
<=> ! [X0,X1] : sP1(X1,X0,set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f193,plain,
( spl10_23
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) )
| ~ spl10_10
| ~ spl10_23 ),
inference(resolution,[],[f194,f120]) ).
fof(f120,plain,
( ! [X0,X1] : sP1(X1,X0,set_intersection2(X0,X1))
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f194,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) )
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f380,plain,
( spl10_45
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f208,f189,f115,f378]) ).
fof(f115,plain,
( spl10_9
<=> ! [X0,X1] : sP0(X1,X0,unordered_pair(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f189,plain,
( spl10_22
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| X1 = X4
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f208,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ in(X1,unordered_pair(X0,X2))
| X1 = X2 )
| ~ spl10_9
| ~ spl10_22 ),
inference(resolution,[],[f190,f116]) ).
fof(f116,plain,
( ! [X0,X1] : sP0(X1,X0,unordered_pair(X0,X1))
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f190,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X1 = X4
| ~ in(X4,X2)
| X0 = X4 )
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f351,plain,
( spl10_44
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f229,f217,f349]) ).
fof(f229,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X0),X0)
| sP1(X0,X1,X0) )
| ~ spl10_28 ),
inference(factoring,[],[f218]) ).
fof(f347,plain,
( spl10_43
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f224,f213,f345]) ).
fof(f224,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X1),X1)
| sP1(X0,X1,X1) )
| ~ spl10_27 ),
inference(factoring,[],[f214]) ).
fof(f343,plain,
( spl10_42
| ~ spl10_12
| ~ spl10_19 ),
inference(avatar_split_clause,[],[f182,f168,f128,f341]) ).
fof(f341,plain,
( spl10_42
<=> ! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X1,X0))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_42])]) ).
fof(f182,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X1,X0))
| disjoint(X0,X1) )
| ~ spl10_12
| ~ spl10_19 ),
inference(superposition,[],[f169,f129]) ).
fof(f339,plain,
( spl10_41
| ~ spl10_7
| ~ spl10_30 ),
inference(avatar_split_clause,[],[f253,f235,f107,f337]) ).
fof(f235,plain,
( spl10_30
<=> ! [X0,X1] : in(X0,unordered_pair(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
fof(f253,plain,
( ! [X0,X1] : ~ in(unordered_pair(X0,X1),X0)
| ~ spl10_7
| ~ spl10_30 ),
inference(resolution,[],[f236,f108]) ).
fof(f236,plain,
( ! [X0,X1] : in(X0,unordered_pair(X0,X1))
| ~ spl10_30 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f335,plain,
( spl10_40
| ~ spl10_7
| ~ spl10_19 ),
inference(avatar_split_clause,[],[f180,f168,f107,f333]) ).
fof(f180,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(set_intersection2(X0,X1),sK5(X0,X1)) )
| ~ spl10_7
| ~ spl10_19 ),
inference(resolution,[],[f169,f108]) ).
fof(f300,plain,
( spl10_39
| ~ spl10_10
| ~ spl10_21 ),
inference(avatar_split_clause,[],[f186,f176,f119,f298]) ).
fof(f176,plain,
( spl10_21
<=> ! [X4,X0,X2,X1] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f186,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl10_10
| ~ spl10_21 ),
inference(resolution,[],[f177,f120]) ).
fof(f177,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X0) )
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f296,plain,
( spl10_38
| ~ spl10_10
| ~ spl10_20 ),
inference(avatar_split_clause,[],[f184,f172,f119,f294]) ).
fof(f172,plain,
( spl10_20
<=> ! [X4,X0,X1,X2] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f184,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl10_10
| ~ spl10_20 ),
inference(resolution,[],[f173,f120]) ).
fof(f173,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X1) )
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f292,plain,
( spl10_37
| ~ spl10_6
| ~ spl10_19 ),
inference(avatar_split_clause,[],[f181,f168,f103,f290]) ).
fof(f181,plain,
( ! [X0] :
( in(sK5(X0,X0),X0)
| disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_19 ),
inference(superposition,[],[f169,f104]) ).
fof(f288,plain,
( spl10_36
| ~ spl10_12
| ~ spl10_16 ),
inference(avatar_split_clause,[],[f154,f150,f128,f286]) ).
fof(f154,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) )
| ~ spl10_12
| ~ spl10_16 ),
inference(superposition,[],[f151,f129]) ).
fof(f284,plain,
( spl10_35
| ~ spl10_7
| ~ spl10_25 ),
inference(avatar_split_clause,[],[f250,f201,f107,f282]) ).
fof(f201,plain,
( spl10_25
<=> ! [X0,X1] : in(X0,unordered_pair(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f250,plain,
( ! [X0,X1] : ~ in(unordered_pair(X0,X1),X1)
| ~ spl10_7
| ~ spl10_25 ),
inference(resolution,[],[f202,f108]) ).
fof(f202,plain,
( ! [X0,X1] : in(X0,unordered_pair(X1,X0))
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f267,plain,
( spl10_34
| ~ spl10_6
| ~ spl10_16 ),
inference(avatar_split_clause,[],[f153,f150,f103,f265]) ).
fof(f265,plain,
( spl10_34
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f153,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl10_6
| ~ spl10_16 ),
inference(superposition,[],[f151,f104]) ).
fof(f263,plain,
( spl10_33
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f145,f128,f119,f261]) ).
fof(f145,plain,
( ! [X0,X1] : sP1(X1,X0,set_intersection2(X1,X0))
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f120,f129]) ).
fof(f259,plain,
( spl10_32
| ~ spl10_9
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f143,f124,f115,f257]) ).
fof(f257,plain,
( spl10_32
<=> ! [X0,X1] : sP0(X1,X0,unordered_pair(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
fof(f124,plain,
( spl10_11
<=> ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f143,plain,
( ! [X0,X1] : sP0(X1,X0,unordered_pair(X1,X0))
| ~ spl10_9
| ~ spl10_11 ),
inference(superposition,[],[f116,f125]) ).
fof(f125,plain,
( ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f241,plain,
spl10_31,
inference(avatar_split_clause,[],[f66,f239]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X0)
& in(sK7(X0,X1,X2),X1) )
| in(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X0)
& in(sK7(X0,X1,X2),X1) )
| in(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f237,plain,
( spl10_30
| ~ spl10_9
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f148,f140,f115,f235]) ).
fof(f148,plain,
( ! [X0,X1] : in(X0,unordered_pair(X0,X1))
| ~ spl10_9
| ~ spl10_15 ),
inference(resolution,[],[f141,f116]) ).
fof(f233,plain,
spl10_29,
inference(avatar_split_clause,[],[f56,f231]) ).
fof(f56,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| in(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( sK6(X0,X1,X2) != X0
& sK6(X0,X1,X2) != X1 )
| ~ in(sK6(X0,X1,X2),X2) )
& ( sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X0 = X3
| X1 = X3
| in(X3,X2) ) )
=> ( ( ( sK6(X0,X1,X2) != X0
& sK6(X0,X1,X2) != X1 )
| ~ in(sK6(X0,X1,X2),X2) )
& ( sK6(X0,X1,X2) = X0
| sK6(X0,X1,X2) = X1
| in(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X0 = X3
| X1 = X3
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f219,plain,
spl10_28,
inference(avatar_split_clause,[],[f65,f217]) ).
fof(f65,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK7(X0,X1,X2),X0)
| in(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f215,plain,
spl10_27,
inference(avatar_split_clause,[],[f64,f213]) ).
fof(f64,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK7(X0,X1,X2),X1)
| in(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f207,plain,
spl10_26,
inference(avatar_split_clause,[],[f76,f205]) ).
fof(f205,plain,
( spl10_26
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X1
| ~ in(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
fof(f76,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X1
| ~ in(X1,X2) ),
inference(inner_rewriting,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X1
| ~ in(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f203,plain,
( spl10_25
| ~ spl10_9
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f147,f132,f115,f201]) ).
fof(f147,plain,
( ! [X0,X1] : in(X0,unordered_pair(X1,X0))
| ~ spl10_9
| ~ spl10_13 ),
inference(resolution,[],[f133,f116]) ).
fof(f199,plain,
spl10_24,
inference(avatar_split_clause,[],[f75,f197]) ).
fof(f197,plain,
( spl10_24
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| ~ in(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f75,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| ~ in(X0,X2) ),
inference(inner_rewriting,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| ~ in(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f195,plain,
spl10_23,
inference(avatar_split_clause,[],[f63,f193]) ).
fof(f63,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f191,plain,
spl10_22,
inference(avatar_split_clause,[],[f53,f189]) ).
fof(f53,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| X1 = X4
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f178,plain,
spl10_21,
inference(avatar_split_clause,[],[f62,f176]) ).
fof(f62,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f174,plain,
spl10_20,
inference(avatar_split_clause,[],[f61,f172]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f170,plain,
spl10_19,
inference(avatar_split_clause,[],[f49,f168]) ).
fof(f49,plain,
! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f16,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X3] : in(X3,set_intersection2(X0,X1))
=> in(sK5(X0,X1),set_intersection2(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( ? [X3] : in(X3,set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f163,plain,
spl10_18,
inference(avatar_split_clause,[],[f68,f161]) ).
fof(f68,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP1(X1,X0,X2) )
& ( sP1(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP1(X1,X0,X2) ),
inference(definition_folding,[],[f5,f21]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f159,plain,
spl10_17,
inference(avatar_split_clause,[],[f60,f157]) ).
fof(f157,plain,
( spl10_17
<=> ! [X2,X0,X1] :
( unordered_pair(X0,X1) = X2
| ~ sP0(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f60,plain,
! [X2,X0,X1] :
( unordered_pair(X0,X1) = X2
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> sP0(X1,X0,X2) ),
inference(definition_folding,[],[f4,f19]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f152,plain,
spl10_16,
inference(avatar_split_clause,[],[f50,f150]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f142,plain,
spl10_15,
inference(avatar_split_clause,[],[f72,f140]) ).
fof(f72,plain,
! [X2,X0,X4] :
( in(X4,X2)
| ~ sP0(X0,X4,X2) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 != X4
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f138,plain,
( spl10_14
| ~ spl10_6
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f122,f119,f103,f136]) ).
fof(f136,plain,
( spl10_14
<=> ! [X0] : sP1(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f122,plain,
( ! [X0] : sP1(X0,X0,X0)
| ~ spl10_6
| ~ spl10_10 ),
inference(superposition,[],[f120,f104]) ).
fof(f134,plain,
spl10_13,
inference(avatar_split_clause,[],[f71,f132]) ).
fof(f71,plain,
! [X2,X1,X4] :
( in(X4,X2)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f130,plain,
spl10_12,
inference(avatar_split_clause,[],[f48,f128]) ).
fof(f48,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f126,plain,
spl10_11,
inference(avatar_split_clause,[],[f47,f124]) ).
fof(f47,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f121,plain,
spl10_10,
inference(avatar_split_clause,[],[f74,f119]) ).
fof(f74,plain,
! [X0,X1] : sP1(X1,X0,set_intersection2(X0,X1)),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f38]) ).
fof(f117,plain,
spl10_9,
inference(avatar_split_clause,[],[f73,f115]) ).
fof(f73,plain,
! [X0,X1] : sP0(X1,X0,unordered_pair(X0,X1)),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f113,plain,
spl10_8,
inference(avatar_split_clause,[],[f52,f111]) ).
fof(f111,plain,
( spl10_8
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f52,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f109,plain,
spl10_7,
inference(avatar_split_clause,[],[f51,f107]) ).
fof(f51,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f105,plain,
spl10_6,
inference(avatar_split_clause,[],[f46,f103]) ).
fof(f46,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f101,plain,
spl10_5,
inference(avatar_split_clause,[],[f70,f98]) ).
fof(f98,plain,
( spl10_5
<=> empty(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f70,plain,
empty(sK9),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
empty(sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f7,f41]) ).
fof(f41,plain,
( ? [X0] : empty(X0)
=> empty(sK9) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f96,plain,
~ spl10_4,
inference(avatar_split_clause,[],[f69,f93]) ).
fof(f93,plain,
( spl10_4
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f69,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
~ empty(sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f8,f39]) ).
fof(f39,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK8) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f91,plain,
~ spl10_3,
inference(avatar_split_clause,[],[f45,f88]) ).
fof(f45,plain,
~ disjoint(unordered_pair(sK2,sK4),sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ~ disjoint(unordered_pair(sK2,sK4),sK3)
& ~ in(sK4,sK3)
& ~ in(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f15,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2] :
( ~ disjoint(unordered_pair(X0,X2),X1)
& ~ in(X2,X1)
& ~ in(X0,X1) )
=> ( ~ disjoint(unordered_pair(sK2,sK4),sK3)
& ~ in(sK4,sK3)
& ~ in(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ disjoint(unordered_pair(X0,X2),X1)
& ~ in(X2,X1)
& ~ in(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( ~ disjoint(unordered_pair(X0,X2),X1)
& ~ in(X2,X1)
& ~ in(X0,X1) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1,X2] :
~ ( ~ disjoint(unordered_pair(X0,X2),X1)
& ~ in(X2,X1)
& ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_zfmisc_1) ).
fof(f86,plain,
~ spl10_2,
inference(avatar_split_clause,[],[f44,f83]) ).
fof(f44,plain,
~ in(sK4,sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f81,plain,
~ spl10_1,
inference(avatar_split_clause,[],[f43,f78]) ).
fof(f43,plain,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n007.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 01:33:47 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (16278)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (16281)WARNING: value z3 for option sas not known
% 0.13/0.38 % (16283)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (16285)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (16284)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (16280)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (16281)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (16282)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (16279)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [5]
% 0.13/0.40 TRYING [3]
% 0.20/0.43 TRYING [6]
% 0.20/0.46 TRYING [4]
% 0.20/0.49 % (16283)First to succeed.
% 0.20/0.49 TRYING [7]
% 0.20/0.51 % (16283)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (16283)------------------------------
% 0.20/0.51 % (16283)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.51 % (16283)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (16283)Memory used [KB]: 2393
% 0.20/0.51 % (16283)Time elapsed: 0.132 s
% 0.20/0.51 % (16283)Instructions burned: 269 (million)
% 0.20/0.51 % (16283)------------------------------
% 0.20/0.51 % (16283)------------------------------
% 0.20/0.51 % (16278)Success in time 0.15 s
%------------------------------------------------------------------------------