TSTP Solution File: SEU127+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU127+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:27:06 EDT 2024
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 315
% Syntax : Number of formulae : 1058 ( 91 unt; 0 def)
% Number of atoms : 3543 ( 190 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 4358 (1873 ~;2081 |; 98 &)
% ( 287 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 280 ( 278 usr; 273 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 1787 (1757 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3818,plain,
$false,
inference(avatar_sat_refutation,[],[f160,f166,f171,f176,f181,f185,f189,f193,f197,f201,f205,f209,f213,f217,f221,f229,f235,f241,f245,f250,f254,f258,f262,f266,f285,f290,f294,f298,f302,f337,f341,f345,f349,f353,f376,f381,f386,f390,f394,f398,f415,f419,f427,f431,f435,f439,f443,f457,f470,f476,f480,f484,f492,f506,f512,f518,f522,f526,f530,f565,f569,f611,f615,f619,f623,f632,f649,f653,f657,f673,f688,f692,f696,f731,f735,f744,f753,f757,f761,f786,f795,f799,f803,f807,f811,f815,f819,f823,f827,f831,f835,f839,f917,f928,f932,f936,f940,f944,f1005,f1025,f1029,f1033,f1064,f1069,f1073,f1077,f1081,f1085,f1089,f1149,f1164,f1178,f1182,f1228,f1232,f1236,f1240,f1292,f1310,f1314,f1364,f1387,f1391,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1423,f1427,f1623,f1627,f1631,f1635,f1723,f1727,f1731,f1830,f1834,f1838,f1842,f1846,f1850,f1854,f2001,f2057,f2061,f2065,f2087,f2091,f2095,f2099,f2103,f2107,f2137,f2141,f2145,f2149,f2153,f2179,f2190,f2194,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2226,f2230,f2234,f2238,f2242,f2246,f2341,f2400,f2404,f2408,f2412,f2447,f2451,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2588,f2627,f2631,f2635,f2639,f2643,f2647,f2665,f2713,f2717,f2721,f2725,f2729,f2741,f2745,f2749,f2753,f2757,f2761,f2765,f2836,f2840,f2844,f2848,f2852,f2856,f2860,f2864,f2868,f2872,f2876,f2880,f2884,f2888,f2892,f2896,f2900,f2904,f3005,f3108,f3112,f3116,f3120,f3168,f3172,f3176,f3180,f3184,f3192,f3196,f3322,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3358,f3362,f3366,f3376,f3380,f3384,f3388,f3392,f3396,f3400,f3404,f3453,f3549,f3658,f3662,f3666,f3700,f3704,f3708,f3712,f3716,f3812]) ).
fof(f3812,plain,
( spl12_2
| ~ spl12_264 ),
inference(avatar_contradiction_clause,[],[f3784]) ).
fof(f3784,plain,
( $false
| spl12_2
| ~ spl12_264 ),
inference(resolution,[],[f3548,f165]) ).
fof(f165,plain,
( ~ subset(set_intersection2(sK3,sK2),sK2)
| spl12_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl12_2
<=> subset(set_intersection2(sK3,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f3548,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X1)
| ~ spl12_264 ),
inference(avatar_component_clause,[],[f3547]) ).
fof(f3547,plain,
( spl12_264
<=> ! [X0,X1] : subset(set_intersection2(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_264])]) ).
fof(f3716,plain,
( spl12_272
| ~ spl12_13
| ~ spl12_136 ),
inference(avatar_split_clause,[],[f1712,f1633,f211,f3714]) ).
fof(f3714,plain,
( spl12_272
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_272])]) ).
fof(f211,plain,
( spl12_13
<=> ! [X0] : set_intersection2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f1633,plain,
( spl12_136
<=> ! [X0,X3,X2,X1] :
( in(sK8(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_136])]) ).
fof(f1712,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_136 ),
inference(superposition,[],[f1634,f212]) ).
fof(f212,plain,
( ! [X0] : set_intersection2(X0,X0) = X0
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f1634,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) )
| ~ spl12_136 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f3712,plain,
( spl12_271
| ~ spl12_13
| ~ spl12_135 ),
inference(avatar_split_clause,[],[f1688,f1629,f211,f3710]) ).
fof(f3710,plain,
( spl12_271
<=> ! [X2,X0,X1] :
( in(sK8(X1,X2,X0),X1)
| sP0(X1,X2,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_271])]) ).
fof(f1629,plain,
( spl12_135
<=> ! [X0,X3,X2,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_135])]) ).
fof(f1688,plain,
( ! [X2,X0,X1] :
( in(sK8(X1,X2,X0),X1)
| sP0(X1,X2,X0)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_135 ),
inference(superposition,[],[f1630,f212]) ).
fof(f1630,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl12_135 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f3708,plain,
( spl12_270
| ~ spl12_13
| ~ spl12_134 ),
inference(avatar_split_clause,[],[f1668,f1625,f211,f3706]) ).
fof(f3706,plain,
( spl12_270
<=> ! [X2,X0,X1] :
( in(sK8(X1,X0,X2),X2)
| sP0(X1,X0,X2)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_270])]) ).
fof(f1625,plain,
( spl12_134
<=> ! [X0,X3,X2,X1] :
( in(sK8(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_134])]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( in(sK8(X1,X0,X2),X2)
| sP0(X1,X0,X2)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_134 ),
inference(superposition,[],[f1626,f212]) ).
fof(f1626,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) )
| ~ spl12_134 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f3704,plain,
( spl12_269
| ~ spl12_13
| ~ spl12_133 ),
inference(avatar_split_clause,[],[f1648,f1621,f211,f3702]) ).
fof(f3702,plain,
( spl12_269
<=> ! [X2,X0,X1] :
( in(sK8(X1,X2,X0),X2)
| sP0(X1,X2,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_269])]) ).
fof(f1621,plain,
( spl12_133
<=> ! [X0,X3,X2,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_133])]) ).
fof(f1648,plain,
( ! [X2,X0,X1] :
( in(sK8(X1,X2,X0),X2)
| sP0(X1,X2,X0)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_133 ),
inference(superposition,[],[f1622,f212]) ).
fof(f1622,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl12_133 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f3700,plain,
( spl12_268
| ~ spl12_73
| ~ spl12_121 ),
inference(avatar_split_clause,[],[f1371,f1362,f694,f3698]) ).
fof(f3698,plain,
( spl12_268
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X2) = X1
| ~ subset(X2,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_268])]) ).
fof(f694,plain,
( spl12_73
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f1362,plain,
( spl12_121
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| set_union2(X2,X0) = X1
| ~ subset(X1,set_union2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_121])]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X2) = X1
| ~ subset(X2,X1)
| ~ empty(X1) )
| ~ spl12_73
| ~ spl12_121 ),
inference(resolution,[],[f1363,f695]) ).
fof(f695,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) )
| ~ spl12_73 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f1363,plain,
( ! [X2,X0,X1] :
( ~ subset(X1,set_union2(X2,X0))
| ~ subset(X2,X1)
| set_union2(X2,X0) = X1
| ~ subset(X0,X1) )
| ~ spl12_121 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f3666,plain,
( spl12_267
| ~ spl12_88
| ~ spl12_111 ),
inference(avatar_split_clause,[],[f1170,f1162,f821,f3664]) ).
fof(f3664,plain,
( spl12_267
<=> ! [X2,X0,X1] :
( ~ subset(X0,sK11)
| sK11 = set_union2(set_intersection2(X1,X2),X0)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_267])]) ).
fof(f821,plain,
( spl12_88
<=> ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f1162,plain,
( spl12_111
<=> ! [X0,X1] :
( ~ subset(X0,sK11)
| ~ subset(X1,sK11)
| set_union2(X1,X0) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_111])]) ).
fof(f1170,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,sK11)
| sK11 = set_union2(set_intersection2(X1,X2),X0)
| ~ disjoint(X1,X2) )
| ~ spl12_88
| ~ spl12_111 ),
inference(resolution,[],[f1163,f822]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) )
| ~ spl12_88 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1163,plain,
( ! [X0,X1] :
( ~ subset(X1,sK11)
| ~ subset(X0,sK11)
| set_union2(X1,X0) = sK11 )
| ~ spl12_111 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f3662,plain,
( spl12_266
| ~ spl12_43
| ~ spl12_89 ),
inference(avatar_split_clause,[],[f894,f825,f425,f3660]) ).
fof(f3660,plain,
( spl12_266
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X1,X2) = X0
| ~ subset(set_union2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_266])]) ).
fof(f425,plain,
( spl12_43
<=> ! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f825,plain,
( spl12_89
<=> ! [X2,X0,X1] :
( subset(X0,set_union2(X1,X2))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X1,X2) = X0
| ~ subset(set_union2(X1,X2),X0) )
| ~ spl12_43
| ~ spl12_89 ),
inference(resolution,[],[f826,f426]) ).
fof(f426,plain,
( ! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) )
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( subset(X0,set_union2(X1,X2))
| ~ subset(X0,X1) )
| ~ spl12_89 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f3658,plain,
( spl12_265
| ~ spl12_43
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f885,f821,f425,f3656]) ).
fof(f3656,plain,
( spl12_265
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = X2
| ~ subset(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_265])]) ).
fof(f885,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = X2
| ~ subset(X2,set_intersection2(X0,X1)) )
| ~ spl12_43
| ~ spl12_88 ),
inference(resolution,[],[f822,f426]) ).
fof(f3549,plain,
( spl12_264
| ~ spl12_39
| ~ spl12_245 ),
inference(avatar_split_clause,[],[f3447,f3328,f392,f3547]) ).
fof(f392,plain,
( spl12_39
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ in(sK7(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f3328,plain,
( spl12_245
<=> ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_245])]) ).
fof(f3447,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X1)
| ~ spl12_39
| ~ spl12_245 ),
inference(duplicate_literal_removal,[],[f3428]) ).
fof(f3428,plain,
( ! [X0,X1] :
( subset(set_intersection2(X0,X1),X1)
| subset(set_intersection2(X0,X1),X1) )
| ~ spl12_39
| ~ spl12_245 ),
inference(resolution,[],[f3329,f393]) ).
fof(f393,plain,
( ! [X0,X1] :
( ~ in(sK7(X0,X1),X1)
| subset(X0,X1) )
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f3329,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl12_245 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3453,plain,
( spl12_263
| ~ spl12_39
| ~ spl12_244 ),
inference(avatar_split_clause,[],[f3424,f3320,f392,f3451]) ).
fof(f3451,plain,
( spl12_263
<=> ! [X0,X1] : subset(set_intersection2(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_263])]) ).
fof(f3320,plain,
( spl12_244
<=> ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_244])]) ).
fof(f3424,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X0)
| ~ spl12_39
| ~ spl12_244 ),
inference(duplicate_literal_removal,[],[f3405]) ).
fof(f3405,plain,
( ! [X0,X1] :
( subset(set_intersection2(X0,X1),X0)
| subset(set_intersection2(X0,X1),X0) )
| ~ spl12_39
| ~ spl12_244 ),
inference(resolution,[],[f3321,f393]) ).
fof(f3321,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl12_244 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f3404,plain,
( spl12_262
| ~ spl12_15
| ~ spl12_132 ),
inference(avatar_split_clause,[],[f1604,f1425,f219,f3402]) ).
fof(f3402,plain,
( spl12_262
<=> ! [X0,X1] :
( in(sK9(sK11,X0,X1),X1)
| sP1(sK11,X0,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_262])]) ).
fof(f219,plain,
( spl12_15
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1425,plain,
( spl12_132
<=> ! [X0,X1] :
( sP1(sK11,X0,X1)
| in(sK9(sK11,X0,X1),X0)
| in(sK9(sK11,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_132])]) ).
fof(f1604,plain,
( ! [X0,X1] :
( in(sK9(sK11,X0,X1),X1)
| sP1(sK11,X0,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_132 ),
inference(resolution,[],[f1426,f220]) ).
fof(f220,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f1426,plain,
( ! [X0,X1] :
( in(sK9(sK11,X0,X1),X1)
| in(sK9(sK11,X0,X1),X0)
| sP1(sK11,X0,X1) )
| ~ spl12_132 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f3400,plain,
( spl12_261
| ~ spl12_15
| ~ spl12_132 ),
inference(avatar_split_clause,[],[f1592,f1425,f219,f3398]) ).
fof(f3398,plain,
( spl12_261
<=> ! [X0,X1] :
( in(sK9(sK11,X0,X1),X0)
| sP1(sK11,X0,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_261])]) ).
fof(f1592,plain,
( ! [X0,X1] :
( in(sK9(sK11,X0,X1),X0)
| sP1(sK11,X0,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_132 ),
inference(resolution,[],[f1426,f220]) ).
fof(f3396,plain,
( spl12_260
| ~ spl12_15
| ~ spl12_131 ),
inference(avatar_split_clause,[],[f1573,f1421,f219,f3394]) ).
fof(f3394,plain,
( spl12_260
<=> ! [X0,X1] :
( in(sK9(X0,sK11,X1),X1)
| sP1(X0,sK11,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_260])]) ).
fof(f1421,plain,
( spl12_131
<=> ! [X0,X1] :
( sP1(X0,sK11,X1)
| in(sK9(X0,sK11,X1),X0)
| in(sK9(X0,sK11,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_131])]) ).
fof(f1573,plain,
( ! [X0,X1] :
( in(sK9(X0,sK11,X1),X1)
| sP1(X0,sK11,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_131 ),
inference(resolution,[],[f1422,f220]) ).
fof(f1422,plain,
( ! [X0,X1] :
( in(sK9(X0,sK11,X1),X1)
| in(sK9(X0,sK11,X1),X0)
| sP1(X0,sK11,X1) )
| ~ spl12_131 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f3392,plain,
( spl12_259
| ~ spl12_15
| ~ spl12_131 ),
inference(avatar_split_clause,[],[f1561,f1421,f219,f3390]) ).
fof(f3390,plain,
( spl12_259
<=> ! [X0,X1] :
( in(sK9(X0,sK11,X1),X0)
| sP1(X0,sK11,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_259])]) ).
fof(f1561,plain,
( ! [X0,X1] :
( in(sK9(X0,sK11,X1),X0)
| sP1(X0,sK11,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_131 ),
inference(resolution,[],[f1422,f220]) ).
fof(f3388,plain,
( spl12_258
| ~ spl12_15
| ~ spl12_130 ),
inference(avatar_split_clause,[],[f1540,f1417,f219,f3386]) ).
fof(f3386,plain,
( spl12_258
<=> ! [X0,X1] :
( in(sK9(X0,X1,sK11),X1)
| sP1(X0,X1,sK11)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_258])]) ).
fof(f1417,plain,
( spl12_130
<=> ! [X0,X1] :
( sP1(X0,X1,sK11)
| in(sK9(X0,X1,sK11),X0)
| in(sK9(X0,X1,sK11),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_130])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,sK11),X1)
| sP1(X0,X1,sK11)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_130 ),
inference(resolution,[],[f1418,f220]) ).
fof(f1418,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,sK11),X1)
| in(sK9(X0,X1,sK11),X0)
| sP1(X0,X1,sK11) )
| ~ spl12_130 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f3384,plain,
( spl12_257
| ~ spl12_15
| ~ spl12_130 ),
inference(avatar_split_clause,[],[f1528,f1417,f219,f3382]) ).
fof(f3382,plain,
( spl12_257
<=> ! [X0,X1] :
( in(sK9(X0,X1,sK11),X0)
| sP1(X0,X1,sK11)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_257])]) ).
fof(f1528,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,sK11),X0)
| sP1(X0,X1,sK11)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_130 ),
inference(resolution,[],[f1418,f220]) ).
fof(f3380,plain,
( spl12_256
| ~ spl12_15
| ~ spl12_128 ),
inference(avatar_split_clause,[],[f1505,f1409,f219,f3378]) ).
fof(f3378,plain,
( spl12_256
<=> ! [X0,X1] :
( in(sK9(X0,X0,X1),X1)
| sP1(X0,X0,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_256])]) ).
fof(f1409,plain,
( spl12_128
<=> ! [X4,X5] :
( in(sK9(X4,X4,X5),X5)
| in(sK9(X4,X4,X5),X4)
| sP1(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_128])]) ).
fof(f1505,plain,
( ! [X0,X1] :
( in(sK9(X0,X0,X1),X1)
| sP1(X0,X0,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_128 ),
inference(resolution,[],[f1410,f220]) ).
fof(f1410,plain,
( ! [X4,X5] :
( in(sK9(X4,X4,X5),X5)
| in(sK9(X4,X4,X5),X4)
| sP1(X4,X4,X5) )
| ~ spl12_128 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f3376,plain,
( spl12_255
| ~ spl12_15
| ~ spl12_128 ),
inference(avatar_split_clause,[],[f1493,f1409,f219,f3374]) ).
fof(f3374,plain,
( spl12_255
<=> ! [X0,X1] :
( in(sK9(X0,X0,X1),X0)
| sP1(X0,X0,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_255])]) ).
fof(f1493,plain,
( ! [X0,X1] :
( in(sK9(X0,X0,X1),X0)
| sP1(X0,X0,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_128 ),
inference(resolution,[],[f1410,f220]) ).
fof(f3366,plain,
( spl12_254
| ~ spl12_15
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1474,f1405,f219,f3364]) ).
fof(f3364,plain,
( spl12_254
<=> ! [X0,X1] :
( in(sK9(X0,X1,X0),X1)
| sP1(X0,X1,X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_254])]) ).
fof(f1405,plain,
( spl12_127
<=> ! [X2,X3] :
( in(sK9(X2,X3,X2),X2)
| in(sK9(X2,X3,X2),X3)
| sP1(X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_127])]) ).
fof(f1474,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X0),X1)
| sP1(X0,X1,X0)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_127 ),
inference(resolution,[],[f1406,f220]) ).
fof(f1406,plain,
( ! [X2,X3] :
( in(sK9(X2,X3,X2),X3)
| in(sK9(X2,X3,X2),X2)
| sP1(X2,X3,X2) )
| ~ spl12_127 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f3362,plain,
( spl12_253
| ~ spl12_15
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1462,f1405,f219,f3360]) ).
fof(f3360,plain,
( spl12_253
<=> ! [X0,X1] :
( in(sK9(X0,X1,X0),X0)
| sP1(X0,X1,X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_253])]) ).
fof(f1462,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X0),X0)
| sP1(X0,X1,X0)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_127 ),
inference(resolution,[],[f1406,f220]) ).
fof(f3358,plain,
( spl12_252
| ~ spl12_15
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1443,f1401,f219,f3356]) ).
fof(f3356,plain,
( spl12_252
<=> ! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| sP1(X0,X1,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_252])]) ).
fof(f1401,plain,
( spl12_126
<=> ! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| in(sK9(X0,X1,X1),X0)
| sP1(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_126])]) ).
fof(f1443,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| sP1(X0,X1,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_126 ),
inference(resolution,[],[f1402,f220]) ).
fof(f1402,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| in(sK9(X0,X1,X1),X0)
| sP1(X0,X1,X1) )
| ~ spl12_126 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f3354,plain,
( spl12_251
| ~ spl12_15
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1431,f1401,f219,f3352]) ).
fof(f3352,plain,
( spl12_251
<=> ! [X0,X1] :
( in(sK9(X0,X1,X1),X0)
| sP1(X0,X1,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_251])]) ).
fof(f1431,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X1),X0)
| sP1(X0,X1,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_126 ),
inference(resolution,[],[f1402,f220]) ).
fof(f3350,plain,
( spl12_250
| ~ spl12_22
| ~ spl12_117 ),
inference(avatar_split_clause,[],[f1278,f1238,f256,f3348]) ).
fof(f3348,plain,
( spl12_250
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X0)
| ~ in(X2,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_250])]) ).
fof(f256,plain,
( spl12_22
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f1238,plain,
( spl12_117
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_117])]) ).
fof(f1278,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X0)
| ~ in(X2,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_117 ),
inference(resolution,[],[f1239,f257]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f1239,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) )
| ~ spl12_117 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f3346,plain,
( spl12_249
| ~ spl12_22
| ~ spl12_116 ),
inference(avatar_split_clause,[],[f1266,f1234,f256,f3344]) ).
fof(f3344,plain,
( spl12_249
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X0,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_249])]) ).
fof(f1234,plain,
( spl12_116
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_116])]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X0,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_116 ),
inference(resolution,[],[f1235,f257]) ).
fof(f1235,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl12_116 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f3342,plain,
( spl12_248
| ~ spl12_22
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1254,f1230,f256,f3340]) ).
fof(f3340,plain,
( spl12_248
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X1)
| ~ in(X2,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_248])]) ).
fof(f1230,plain,
( spl12_115
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_115])]) ).
fof(f1254,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X1)
| ~ in(X2,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_115 ),
inference(resolution,[],[f1231,f257]) ).
fof(f1231,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) )
| ~ spl12_115 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f3338,plain,
( spl12_247
| ~ spl12_22
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f1242,f1226,f256,f3336]) ).
fof(f3336,plain,
( spl12_247
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X1,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_247])]) ).
fof(f1226,plain,
( spl12_114
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_114])]) ).
fof(f1242,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X1,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_114 ),
inference(resolution,[],[f1227,f257]) ).
fof(f1227,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl12_114 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f3334,plain,
( spl12_246
| ~ spl12_39
| ~ spl12_98 ),
inference(avatar_split_clause,[],[f993,f942,f392,f3332]) ).
fof(f3332,plain,
( spl12_246
<=> ! [X2,X0,X1] :
( ~ in(sK7(X0,set_union2(X1,X2)),X2)
| subset(X0,set_union2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_246])]) ).
fof(f942,plain,
( spl12_98
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| in(X0,set_union2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ in(sK7(X0,set_union2(X1,X2)),X2)
| subset(X0,set_union2(X1,X2)) )
| ~ spl12_39
| ~ spl12_98 ),
inference(resolution,[],[f943,f393]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( in(X0,set_union2(X2,X1))
| ~ in(X0,X1) )
| ~ spl12_98 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f3330,plain,
( spl12_245
| ~ spl12_37
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f975,f938,f384,f3328]) ).
fof(f384,plain,
( spl12_37
<=> ! [X0,X1] :
( subset(X0,X1)
| in(sK7(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f938,plain,
( spl12_97
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl12_37
| ~ spl12_97 ),
inference(resolution,[],[f939,f385]) ).
fof(f385,plain,
( ! [X0,X1] :
( in(sK7(X0,X1),X0)
| subset(X0,X1) )
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl12_97 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f3322,plain,
( spl12_244
| ~ spl12_37
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f958,f934,f384,f3320]) ).
fof(f934,plain,
( spl12_96
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( in(sK7(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl12_37
| ~ spl12_96 ),
inference(resolution,[],[f935,f385]) ).
fof(f935,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl12_96 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f3196,plain,
( spl12_243
| ~ spl12_73
| ~ spl12_118 ),
inference(avatar_split_clause,[],[f1296,f1290,f694,f3194]) ).
fof(f3194,plain,
( spl12_243
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(set_union2(X2,X0),X1) = X1
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_243])]) ).
fof(f1290,plain,
( spl12_118
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| set_union2(set_union2(X2,X0),X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_118])]) ).
fof(f1296,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(set_union2(X2,X0),X1) = X1
| ~ empty(X2) )
| ~ spl12_73
| ~ spl12_118 ),
inference(resolution,[],[f1291,f695]) ).
fof(f1291,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ subset(X0,X1)
| set_union2(set_union2(X2,X0),X1) = X1 )
| ~ spl12_118 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f3192,plain,
( spl12_242
| ~ spl12_33
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f978,f938,f347,f3190]) ).
fof(f3190,plain,
( spl12_242
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2)),X2)
| disjoint(X0,set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_242])]) ).
fof(f347,plain,
( spl12_33
<=> ! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f978,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2)),X2)
| disjoint(X0,set_intersection2(X1,X2)) )
| ~ spl12_33
| ~ spl12_97 ),
inference(resolution,[],[f939,f348]) ).
fof(f348,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) )
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f3184,plain,
( spl12_241
| ~ spl12_32
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f973,f938,f343,f3182]) ).
fof(f3182,plain,
( spl12_241
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2),X1)
| disjoint(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_241])]) ).
fof(f343,plain,
( spl12_32
<=> ! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2),X1)
| disjoint(set_intersection2(X0,X1),X2) )
| ~ spl12_32
| ~ spl12_97 ),
inference(resolution,[],[f939,f344]) ).
fof(f344,plain,
( ! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) )
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f3180,plain,
( spl12_240
| ~ spl12_33
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f961,f934,f347,f3178]) ).
fof(f3178,plain,
( spl12_240
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2)),X1)
| disjoint(X0,set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_240])]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2)),X1)
| disjoint(X0,set_intersection2(X1,X2)) )
| ~ spl12_33
| ~ spl12_96 ),
inference(resolution,[],[f935,f348]) ).
fof(f3176,plain,
( spl12_239
| ~ spl12_32
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f956,f934,f343,f3174]) ).
fof(f3174,plain,
( spl12_239
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2),X0)
| disjoint(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_239])]) ).
fof(f956,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2),X0)
| disjoint(set_intersection2(X0,X1),X2) )
| ~ spl12_32
| ~ spl12_96 ),
inference(resolution,[],[f935,f344]) ).
fof(f3172,plain,
( spl12_238
| ~ spl12_39
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f904,f829,f392,f3170]) ).
fof(f3170,plain,
( spl12_238
<=> ! [X2,X0,X1] :
( ~ in(sK7(X0,set_union2(X1,X2)),X1)
| subset(X0,set_union2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_238])]) ).
fof(f829,plain,
( spl12_90
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| in(X0,set_union2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f904,plain,
( ! [X2,X0,X1] :
( ~ in(sK7(X0,set_union2(X1,X2)),X1)
| subset(X0,set_union2(X1,X2)) )
| ~ spl12_39
| ~ spl12_90 ),
inference(resolution,[],[f830,f393]) ).
fof(f830,plain,
( ! [X2,X0,X1] :
( in(X0,set_union2(X1,X2))
| ~ in(X0,X1) )
| ~ spl12_90 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f3168,plain,
( spl12_237
| ~ spl12_34
| ~ spl12_89 ),
inference(avatar_split_clause,[],[f896,f825,f351,f3166]) ).
fof(f3166,plain,
( spl12_237
<=> ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X1,X2) = set_union2(X0,set_union2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_237])]) ).
fof(f351,plain,
( spl12_34
<=> ! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f896,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| set_union2(X1,X2) = set_union2(X0,set_union2(X1,X2)) )
| ~ spl12_34
| ~ spl12_89 ),
inference(resolution,[],[f826,f352]) ).
fof(f352,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 )
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f3120,plain,
( spl12_236
| ~ spl12_22
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f1187,f1176,f256,f3118]) ).
fof(f3118,plain,
( spl12_236
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_236])]) ).
fof(f1176,plain,
( spl12_112
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_112])]) ).
fof(f1187,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) )
| ~ spl12_22
| ~ spl12_112 ),
inference(resolution,[],[f1177,f257]) ).
fof(f1177,plain,
( ! [X2,X0,X1] :
( in(X0,set_intersection2(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,X1) )
| ~ spl12_112 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f3116,plain,
( spl12_235
| ~ spl12_29
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f974,f938,f300,f3114]) ).
fof(f3114,plain,
( spl12_235
<=> ! [X0,X1] :
( in(sK6(set_intersection2(X0,X1)),X1)
| set_intersection2(X0,X1) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_235])]) ).
fof(f300,plain,
( spl12_29
<=> ! [X0] :
( sK11 = X0
| in(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f974,plain,
( ! [X0,X1] :
( in(sK6(set_intersection2(X0,X1)),X1)
| set_intersection2(X0,X1) = sK11 )
| ~ spl12_29
| ~ spl12_97 ),
inference(resolution,[],[f939,f301]) ).
fof(f301,plain,
( ! [X0] :
( in(sK6(X0),X0)
| sK11 = X0 )
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f3112,plain,
( spl12_234
| ~ spl12_15
| ~ spl12_212 ),
inference(avatar_split_clause,[],[f2821,f2759,f219,f3110]) ).
fof(f3110,plain,
( spl12_234
<=> ! [X0] :
( sP1(sK11,sK11,X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_234])]) ).
fof(f2759,plain,
( spl12_212
<=> ! [X0] :
( sP1(sK11,sK11,X0)
| in(sK9(sK11,sK11,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_212])]) ).
fof(f2821,plain,
( ! [X0] :
( sP1(sK11,sK11,X0)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_212 ),
inference(resolution,[],[f2760,f220]) ).
fof(f2760,plain,
( ! [X0] :
( in(sK9(sK11,sK11,X0),X0)
| sP1(sK11,sK11,X0) )
| ~ spl12_212 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f3108,plain,
( spl12_233
| ~ spl12_29
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f957,f934,f300,f3106]) ).
fof(f3106,plain,
( spl12_233
<=> ! [X0,X1] :
( in(sK6(set_intersection2(X0,X1)),X0)
| set_intersection2(X0,X1) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_233])]) ).
fof(f957,plain,
( ! [X0,X1] :
( in(sK6(set_intersection2(X0,X1)),X0)
| set_intersection2(X0,X1) = sK11 )
| ~ spl12_29
| ~ spl12_96 ),
inference(resolution,[],[f935,f301]) ).
fof(f3005,plain,
( spl12_232
| ~ spl12_15
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f2806,f2755,f219,f3003]) ).
fof(f3003,plain,
( spl12_232
<=> ! [X0] :
( sP1(X0,X0,sK11)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_232])]) ).
fof(f2755,plain,
( spl12_211
<=> ! [X0] :
( sP1(X0,X0,sK11)
| in(sK9(X0,X0,sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_211])]) ).
fof(f2806,plain,
( ! [X0] :
( sP1(X0,X0,sK11)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_211 ),
inference(resolution,[],[f2756,f220]) ).
fof(f2756,plain,
( ! [X0] :
( in(sK9(X0,X0,sK11),X0)
| sP1(X0,X0,sK11) )
| ~ spl12_211 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2904,plain,
( spl12_231
| ~ spl12_30
| ~ spl12_117 ),
inference(avatar_split_clause,[],[f1284,f1238,f335,f2902]) ).
fof(f2902,plain,
( spl12_231
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_231])]) ).
fof(f335,plain,
( spl12_30
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| ~ disjoint(X2,X3) )
| ~ spl12_30
| ~ spl12_117 ),
inference(resolution,[],[f1239,f336]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f2900,plain,
( spl12_230
| ~ spl12_83
| ~ spl12_117 ),
inference(avatar_split_clause,[],[f1283,f1238,f801,f2898]) ).
fof(f2898,plain,
( spl12_230
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_230])]) ).
fof(f801,plain,
( spl12_83
<=> ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_83])]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| ~ disjoint(X3,X2) )
| ~ spl12_83
| ~ spl12_117 ),
inference(resolution,[],[f1239,f802]) ).
fof(f802,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) )
| ~ spl12_83 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f2896,plain,
( spl12_229
| ~ spl12_30
| ~ spl12_116 ),
inference(avatar_split_clause,[],[f1272,f1234,f335,f2894]) ).
fof(f2894,plain,
( spl12_229
<=> ! [X0,X3,X2,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_229])]) ).
fof(f1272,plain,
( ! [X2,X3,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_116 ),
inference(resolution,[],[f1235,f336]) ).
fof(f2892,plain,
( spl12_228
| ~ spl12_15
| ~ spl12_210 ),
inference(avatar_split_clause,[],[f2791,f2751,f219,f2890]) ).
fof(f2890,plain,
( spl12_228
<=> ! [X0] :
( sP1(sK11,X0,sK11)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_228])]) ).
fof(f2751,plain,
( spl12_210
<=> ! [X0] :
( sP1(sK11,X0,sK11)
| in(sK9(sK11,X0,sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_210])]) ).
fof(f2791,plain,
( ! [X0] :
( sP1(sK11,X0,sK11)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_210 ),
inference(resolution,[],[f2752,f220]) ).
fof(f2752,plain,
( ! [X0] :
( in(sK9(sK11,X0,sK11),X0)
| sP1(sK11,X0,sK11) )
| ~ spl12_210 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2888,plain,
( spl12_227
| ~ spl12_83
| ~ spl12_116 ),
inference(avatar_split_clause,[],[f1271,f1234,f801,f2886]) ).
fof(f2886,plain,
( spl12_227
<=> ! [X0,X3,X2,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_227])]) ).
fof(f1271,plain,
( ! [X2,X3,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| ~ disjoint(X1,X0) )
| ~ spl12_83
| ~ spl12_116 ),
inference(resolution,[],[f1235,f802]) ).
fof(f2884,plain,
( spl12_226
| ~ spl12_30
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1260,f1230,f335,f2882]) ).
fof(f2882,plain,
( spl12_226
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_226])]) ).
fof(f1260,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| ~ disjoint(X2,X3) )
| ~ spl12_30
| ~ spl12_115 ),
inference(resolution,[],[f1231,f336]) ).
fof(f2880,plain,
( spl12_225
| ~ spl12_83
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1259,f1230,f801,f2878]) ).
fof(f2878,plain,
( spl12_225
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| ~ disjoint(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_225])]) ).
fof(f1259,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| ~ disjoint(X3,X2) )
| ~ spl12_83
| ~ spl12_115 ),
inference(resolution,[],[f1231,f802]) ).
fof(f2876,plain,
( spl12_224
| ~ spl12_30
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f1248,f1226,f335,f2874]) ).
fof(f2874,plain,
( spl12_224
<=> ! [X0,X3,X2,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_224])]) ).
fof(f1248,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_114 ),
inference(resolution,[],[f1227,f336]) ).
fof(f2872,plain,
( spl12_223
| ~ spl12_83
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f1247,f1226,f801,f2870]) ).
fof(f2870,plain,
( spl12_223
<=> ! [X0,X3,X2,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_223])]) ).
fof(f1247,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| ~ disjoint(X2,X1) )
| ~ spl12_83
| ~ spl12_114 ),
inference(resolution,[],[f1227,f802]) ).
fof(f2868,plain,
( spl12_222
| ~ spl12_30
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f1129,f1079,f335,f2866]) ).
fof(f2866,plain,
( spl12_222
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_222])]) ).
fof(f1079,plain,
( spl12_107
<=> ! [X0,X1] :
( in(sK8(X0,X1,X0),X0)
| sP0(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_107])]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_107 ),
inference(resolution,[],[f1080,f336]) ).
fof(f1080,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,X0),X0)
| sP0(X0,X1,X0) )
| ~ spl12_107 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f2864,plain,
( spl12_221
| ~ spl12_83
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f1128,f1079,f801,f2862]) ).
fof(f2862,plain,
( spl12_221
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_221])]) ).
fof(f1128,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ disjoint(X1,X0) )
| ~ spl12_83
| ~ spl12_107 ),
inference(resolution,[],[f1080,f802]) ).
fof(f2860,plain,
( spl12_220
| ~ spl12_30
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f1096,f1062,f335,f2858]) ).
fof(f2858,plain,
( spl12_220
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_220])]) ).
fof(f1062,plain,
( spl12_103
<=> ! [X0,X1] :
( in(sK8(X0,X1,X1),X1)
| sP0(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_103])]) ).
fof(f1096,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_103 ),
inference(resolution,[],[f1063,f336]) ).
fof(f1063,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,X1),X1)
| sP0(X0,X1,X1) )
| ~ spl12_103 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f2856,plain,
( spl12_219
| ~ spl12_83
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f1095,f1062,f801,f2854]) ).
fof(f2854,plain,
( spl12_219
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_219])]) ).
fof(f1095,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl12_83
| ~ spl12_103 ),
inference(resolution,[],[f1063,f802]) ).
fof(f2852,plain,
( spl12_218
| ~ spl12_42
| ~ spl12_89 ),
inference(avatar_split_clause,[],[f895,f825,f417,f2850]) ).
fof(f2850,plain,
( spl12_218
<=> ! [X0,X3,X2,X1] :
( ~ subset(X0,X1)
| subset(X2,set_union2(X1,X3))
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_218])]) ).
fof(f417,plain,
( spl12_42
<=> ! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| subset(X2,set_union2(X1,X3))
| ~ subset(X2,X0) )
| ~ spl12_42
| ~ spl12_89 ),
inference(resolution,[],[f826,f418]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) )
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f2848,plain,
( spl12_217
| ~ spl12_15
| ~ spl12_209 ),
inference(avatar_split_clause,[],[f2776,f2747,f219,f2846]) ).
fof(f2846,plain,
( spl12_217
<=> ! [X0] :
( sP1(X0,sK11,sK11)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_217])]) ).
fof(f2747,plain,
( spl12_209
<=> ! [X0] :
( sP1(X0,sK11,sK11)
| in(sK9(X0,sK11,sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_209])]) ).
fof(f2776,plain,
( ! [X0] :
( sP1(X0,sK11,sK11)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_209 ),
inference(resolution,[],[f2748,f220]) ).
fof(f2748,plain,
( ! [X0] :
( in(sK9(X0,sK11,sK11),X0)
| sP1(X0,sK11,sK11) )
| ~ spl12_209 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f2844,plain,
( spl12_216
| ~ spl12_45
| ~ spl12_89 ),
inference(avatar_split_clause,[],[f893,f825,f433,f2842]) ).
fof(f2842,plain,
( spl12_216
<=> ! [X0,X3,X2,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| in(X2,set_union2(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_216])]) ).
fof(f433,plain,
( spl12_45
<=> ! [X0,X1,X3] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
fof(f893,plain,
( ! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| in(X2,set_union2(X1,X3)) )
| ~ spl12_45
| ~ spl12_89 ),
inference(resolution,[],[f826,f434]) ).
fof(f434,plain,
( ! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) )
| ~ spl12_45 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2840,plain,
( spl12_215
| ~ spl12_42
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f886,f821,f417,f2838]) ).
fof(f2838,plain,
( spl12_215
<=> ! [X0,X3,X2,X1] :
( ~ disjoint(X0,X1)
| subset(X2,X3)
| ~ subset(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_215])]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( ~ disjoint(X0,X1)
| subset(X2,X3)
| ~ subset(X2,set_intersection2(X0,X1)) )
| ~ spl12_42
| ~ spl12_88 ),
inference(resolution,[],[f822,f418]) ).
fof(f2836,plain,
( spl12_214
| ~ spl12_53
| ~ spl12_75 ),
inference(avatar_split_clause,[],[f749,f733,f490,f2834]) ).
fof(f2834,plain,
( spl12_214
<=> ! [X2,X0,X1] :
( subset(set_union2(X0,X1),X2)
| ~ subset(X1,sK11)
| ~ subset(X0,sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_214])]) ).
fof(f490,plain,
( spl12_53
<=> ! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
fof(f733,plain,
( spl12_75
<=> ! [X0,X1] :
( ~ subset(X0,sK11)
| subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f749,plain,
( ! [X2,X0,X1] :
( subset(set_union2(X0,X1),X2)
| ~ subset(X1,sK11)
| ~ subset(X0,sK11) )
| ~ spl12_53
| ~ spl12_75 ),
inference(resolution,[],[f734,f491]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) )
| ~ spl12_53 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f734,plain,
( ! [X0,X1] :
( ~ subset(X0,sK11)
| subset(X0,X1) )
| ~ spl12_75 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f2765,plain,
( spl12_213
| ~ spl12_13
| ~ spl12_185 ),
inference(avatar_split_clause,[],[f2532,f2453,f211,f2763]) ).
fof(f2763,plain,
( spl12_213
<=> ! [X0,X1] :
( sP0(X1,X0,sK11)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f2453,plain,
( spl12_185
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),sK11)
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_185])]) ).
fof(f2532,plain,
( ! [X0,X1] :
( sP0(X1,X0,sK11)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_185 ),
inference(superposition,[],[f2454,f212]) ).
fof(f2454,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),sK11)
| ~ disjoint(X2,X1) )
| ~ spl12_185 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f2761,plain,
( spl12_212
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(avatar_split_clause,[],[f1520,f1409,f247,f191,f2759]) ).
fof(f191,plain,
( spl12_8
<=> ! [X2] : ~ in(X2,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f247,plain,
( spl12_20
<=> empty_set = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1520,plain,
( ! [X0] :
( sP1(sK11,sK11,X0)
| in(sK9(sK11,sK11,X0),X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(forward_demodulation,[],[f1519,f249]) ).
fof(f249,plain,
( empty_set = sK11
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f1519,plain,
( ! [X0] :
( in(sK9(sK11,sK11,X0),X0)
| sP1(empty_set,empty_set,X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(forward_demodulation,[],[f1512,f249]) ).
fof(f1512,plain,
( ! [X0] :
( in(sK9(empty_set,empty_set,X0),X0)
| sP1(empty_set,empty_set,X0) )
| ~ spl12_8
| ~ spl12_128 ),
inference(resolution,[],[f1410,f192]) ).
fof(f192,plain,
( ! [X2] : ~ in(X2,empty_set)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f2757,plain,
( spl12_211
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(avatar_split_clause,[],[f1518,f1409,f247,f191,f2755]) ).
fof(f1518,plain,
( ! [X0] :
( sP1(X0,X0,sK11)
| in(sK9(X0,X0,sK11),X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(forward_demodulation,[],[f1517,f249]) ).
fof(f1517,plain,
( ! [X0] :
( in(sK9(X0,X0,sK11),X0)
| sP1(X0,X0,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_128 ),
inference(forward_demodulation,[],[f1500,f249]) ).
fof(f1500,plain,
( ! [X0] :
( in(sK9(X0,X0,empty_set),X0)
| sP1(X0,X0,empty_set) )
| ~ spl12_8
| ~ spl12_128 ),
inference(resolution,[],[f1410,f192]) ).
fof(f2753,plain,
( spl12_210
| ~ spl12_8
| ~ spl12_20
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1489,f1405,f247,f191,f2751]) ).
fof(f1489,plain,
( ! [X0] :
( sP1(sK11,X0,sK11)
| in(sK9(sK11,X0,sK11),X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_127 ),
inference(forward_demodulation,[],[f1488,f249]) ).
fof(f1488,plain,
( ! [X0] :
( in(sK9(sK11,X0,sK11),X0)
| sP1(empty_set,X0,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_127 ),
inference(forward_demodulation,[],[f1481,f249]) ).
fof(f1481,plain,
( ! [X0] :
( in(sK9(empty_set,X0,empty_set),X0)
| sP1(empty_set,X0,empty_set) )
| ~ spl12_8
| ~ spl12_127 ),
inference(resolution,[],[f1406,f192]) ).
fof(f2749,plain,
( spl12_209
| ~ spl12_8
| ~ spl12_20
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1456,f1401,f247,f191,f2747]) ).
fof(f1456,plain,
( ! [X0] :
( sP1(X0,sK11,sK11)
| in(sK9(X0,sK11,sK11),X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_126 ),
inference(forward_demodulation,[],[f1455,f249]) ).
fof(f1455,plain,
( ! [X0] :
( in(sK9(X0,sK11,sK11),X0)
| sP1(X0,empty_set,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_126 ),
inference(forward_demodulation,[],[f1438,f249]) ).
fof(f1438,plain,
( ! [X0] :
( in(sK9(X0,empty_set,empty_set),X0)
| sP1(X0,empty_set,empty_set) )
| ~ spl12_8
| ~ spl12_126 ),
inference(resolution,[],[f1402,f192]) ).
fof(f2745,plain,
( spl12_208
| ~ spl12_15
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f1188,f1176,f219,f2743]) ).
fof(f2743,plain,
( spl12_208
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ empty(set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f1188,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ empty(set_intersection2(X1,X2)) )
| ~ spl12_15
| ~ spl12_112 ),
inference(resolution,[],[f1177,f220]) ).
fof(f2741,plain,
( spl12_207
| ~ spl12_22
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f1151,f1087,f256,f2739]) ).
fof(f2739,plain,
( spl12_207
<=> ! [X0,X1] :
( sP0(sK11,X0,X1)
| ~ in(X1,sK8(sK11,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_207])]) ).
fof(f1087,plain,
( spl12_109
<=> ! [X0,X1] :
( sP0(sK11,X0,X1)
| in(sK8(sK11,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_109])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( sP0(sK11,X0,X1)
| ~ in(X1,sK8(sK11,X0,X1)) )
| ~ spl12_22
| ~ spl12_109 ),
inference(resolution,[],[f1088,f257]) ).
fof(f1088,plain,
( ! [X0,X1] :
( in(sK8(sK11,X0,X1),X1)
| sP0(sK11,X0,X1) )
| ~ spl12_109 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f2729,plain,
( spl12_206
| ~ spl12_22
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f1135,f1083,f256,f2727]) ).
fof(f2727,plain,
( spl12_206
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ in(X0,sK8(X0,X1,sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f1083,plain,
( spl12_108
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| in(sK8(X0,X1,sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_108])]) ).
fof(f1135,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ in(X0,sK8(X0,X1,sK11)) )
| ~ spl12_22
| ~ spl12_108 ),
inference(resolution,[],[f1084,f257]) ).
fof(f1084,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,sK11),X0)
| sP0(X0,X1,sK11) )
| ~ spl12_108 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2725,plain,
( spl12_205
| ~ spl12_22
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f1124,f1079,f256,f2723]) ).
fof(f2723,plain,
( spl12_205
<=> ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(X0,sK8(X0,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_205])]) ).
fof(f1124,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(X0,sK8(X0,X1,X0)) )
| ~ spl12_22
| ~ spl12_107 ),
inference(resolution,[],[f1080,f257]) ).
fof(f2721,plain,
( spl12_204
| ~ spl12_22
| ~ spl12_106 ),
inference(avatar_split_clause,[],[f1113,f1075,f256,f2719]) ).
fof(f2719,plain,
( spl12_204
<=> ! [X0,X1] :
( sP0(X0,sK11,X1)
| ~ in(X1,sK8(X0,sK11,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_204])]) ).
fof(f1075,plain,
( spl12_106
<=> ! [X0,X1] :
( sP0(X0,sK11,X1)
| in(sK8(X0,sK11,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_106])]) ).
fof(f1113,plain,
( ! [X0,X1] :
( sP0(X0,sK11,X1)
| ~ in(X1,sK8(X0,sK11,X1)) )
| ~ spl12_22
| ~ spl12_106 ),
inference(resolution,[],[f1076,f257]) ).
fof(f1076,plain,
( ! [X0,X1] :
( in(sK8(X0,sK11,X1),X1)
| sP0(X0,sK11,X1) )
| ~ spl12_106 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f2717,plain,
( spl12_203
| ~ spl12_22
| ~ spl12_105 ),
inference(avatar_split_clause,[],[f1102,f1071,f256,f2715]) ).
fof(f2715,plain,
( spl12_203
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ in(X1,sK8(X0,X1,sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f1071,plain,
( spl12_105
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| in(sK8(X0,X1,sK11),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_105])]) ).
fof(f1102,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ in(X1,sK8(X0,X1,sK11)) )
| ~ spl12_22
| ~ spl12_105 ),
inference(resolution,[],[f1072,f257]) ).
fof(f1072,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,sK11),X1)
| sP0(X0,X1,sK11) )
| ~ spl12_105 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f2713,plain,
( spl12_202
| ~ spl12_22
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f1091,f1062,f256,f2711]) ).
fof(f2711,plain,
( spl12_202
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(X1,sK8(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f1091,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(X1,sK8(X0,X1,X1)) )
| ~ spl12_22
| ~ spl12_103 ),
inference(resolution,[],[f1063,f257]) ).
fof(f2665,plain,
( spl12_201
| ~ spl12_73
| ~ spl12_177 ),
inference(avatar_split_clause,[],[f2389,f2244,f694,f2663]) ).
fof(f2663,plain,
( spl12_201
<=> ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_201])]) ).
fof(f2244,plain,
( spl12_177
<=> ! [X0,X1] :
( set_union2(X1,X0) = X1
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_177])]) ).
fof(f2389,plain,
( ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ empty(X1) )
| ~ spl12_73
| ~ spl12_177 ),
inference(resolution,[],[f2245,f695]) ).
fof(f2245,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X1,X0) = X1 )
| ~ spl12_177 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f2647,plain,
( spl12_200
| ~ spl12_73
| ~ spl12_111 ),
inference(avatar_split_clause,[],[f1168,f1162,f694,f2645]) ).
fof(f2645,plain,
( spl12_200
<=> ! [X0,X1] :
( ~ subset(X0,sK11)
| set_union2(X1,X0) = sK11
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_200])]) ).
fof(f1168,plain,
( ! [X0,X1] :
( ~ subset(X0,sK11)
| set_union2(X1,X0) = sK11
| ~ empty(X1) )
| ~ spl12_73
| ~ spl12_111 ),
inference(resolution,[],[f1163,f695]) ).
fof(f2643,plain,
( spl12_199
| ~ spl12_26
| ~ spl12_101 ),
inference(avatar_split_clause,[],[f1045,f1027,f288,f2641]) ).
fof(f2641,plain,
( spl12_199
<=> ! [X0,X1] :
( ~ in(set_intersection2(X1,X0),sK4(X0,X1))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_199])]) ).
fof(f288,plain,
( spl12_26
<=> ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f1027,plain,
( spl12_101
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(set_intersection2(X0,X1),sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ in(set_intersection2(X1,X0),sK4(X0,X1))
| disjoint(X0,X1) )
| ~ spl12_26
| ~ spl12_101 ),
inference(superposition,[],[f1028,f289]) ).
fof(f289,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0)
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f1028,plain,
( ! [X0,X1] :
( ~ in(set_intersection2(X0,X1),sK4(X0,X1))
| disjoint(X0,X1) )
| ~ spl12_101 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f2639,plain,
( spl12_198
| ~ spl12_34
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f887,f821,f351,f2637]) ).
fof(f2637,plain,
( spl12_198
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_union2(set_intersection2(X0,X1),X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_198])]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| set_union2(set_intersection2(X0,X1),X2) = X2 )
| ~ spl12_34
| ~ spl12_88 ),
inference(resolution,[],[f822,f352]) ).
fof(f2635,plain,
( spl12_197
| ~ spl12_82
| ~ spl12_87 ),
inference(avatar_split_clause,[],[f871,f817,f797,f2633]) ).
fof(f2633,plain,
( spl12_197
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| sK11 = set_intersection2(X2,set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_197])]) ).
fof(f797,plain,
( spl12_82
<=> ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
fof(f817,plain,
( spl12_87
<=> ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| sK11 = set_intersection2(X2,set_intersection2(X0,X1)) )
| ~ spl12_82
| ~ spl12_87 ),
inference(resolution,[],[f818,f798]) ).
fof(f798,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = sK11 )
| ~ spl12_82 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl12_87 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2631,plain,
( spl12_196
| ~ spl12_82
| ~ spl12_85 ),
inference(avatar_split_clause,[],[f861,f809,f797,f2629]) ).
fof(f2629,plain,
( spl12_196
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| sK11 = set_intersection2(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_196])]) ).
fof(f809,plain,
( spl12_85
<=> ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| sK11 = set_intersection2(set_intersection2(X0,X1),X2) )
| ~ spl12_82
| ~ spl12_85 ),
inference(resolution,[],[f810,f798]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) )
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f2627,plain,
( spl12_195
| ~ spl12_43
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f659,f647,f425,f2625]) ).
fof(f2625,plain,
( spl12_195
<=> ! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(set_union2(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_195])]) ).
fof(f647,plain,
( spl12_67
<=> ! [X0,X1] : subset(X0,set_union2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
fof(f659,plain,
( ! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(set_union2(X0,X1),X1) )
| ~ spl12_43
| ~ spl12_67 ),
inference(resolution,[],[f648,f426]) ).
fof(f648,plain,
( ! [X0,X1] : subset(X0,set_union2(X1,X0))
| ~ spl12_67 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f2588,plain,
( spl12_194
| ~ spl12_67
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f2270,f2196,f647,f2586]) ).
fof(f2586,plain,
( spl12_194
<=> ! [X2,X0,X1] :
( subset(X0,X1)
| ~ empty(set_union2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_194])]) ).
fof(f2196,plain,
( spl12_165
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| subset(X1,X2)
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f2270,plain,
( ! [X2,X0,X1] :
( subset(X0,X1)
| ~ empty(set_union2(X2,X0)) )
| ~ spl12_67
| ~ spl12_165 ),
inference(resolution,[],[f2197,f648]) ).
fof(f2197,plain,
( ! [X2,X0,X1] :
( ~ subset(X1,X0)
| subset(X1,X2)
| ~ empty(X0) )
| ~ spl12_165 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2487,plain,
( spl12_193
| ~ spl12_30
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f1156,f1087,f335,f2485]) ).
fof(f2485,plain,
( spl12_193
<=> ! [X2,X0,X1] :
( sP0(sK11,X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_193])]) ).
fof(f1156,plain,
( ! [X2,X0,X1] :
( sP0(sK11,X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_109 ),
inference(resolution,[],[f1088,f336]) ).
fof(f2483,plain,
( spl12_192
| ~ spl12_83
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f1155,f1087,f801,f2481]) ).
fof(f2481,plain,
( spl12_192
<=> ! [X2,X0,X1] :
( sP0(sK11,X0,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_192])]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( sP0(sK11,X0,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl12_83
| ~ spl12_109 ),
inference(resolution,[],[f1088,f802]) ).
fof(f2479,plain,
( spl12_191
| ~ spl12_30
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f1140,f1083,f335,f2477]) ).
fof(f2477,plain,
( spl12_191
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,sK11)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_191])]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,sK11)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_108 ),
inference(resolution,[],[f1084,f336]) ).
fof(f2475,plain,
( spl12_190
| ~ spl12_9
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f2269,f2196,f195,f2473]) ).
fof(f2473,plain,
( spl12_190
<=> ! [X2,X0,X1] :
( subset(X0,X1)
| ~ empty(set_union2(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_190])]) ).
fof(f195,plain,
( spl12_9
<=> ! [X0,X1] : subset(X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f2269,plain,
( ! [X2,X0,X1] :
( subset(X0,X1)
| ~ empty(set_union2(X0,X2)) )
| ~ spl12_9
| ~ spl12_165 ),
inference(resolution,[],[f2197,f196]) ).
fof(f196,plain,
( ! [X0,X1] : subset(X0,set_union2(X0,X1))
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f2471,plain,
( spl12_189
| ~ spl12_83
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f1139,f1083,f801,f2469]) ).
fof(f2469,plain,
( spl12_189
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,sK11)
| ~ disjoint(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_189])]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,sK11)
| ~ disjoint(X1,X0) )
| ~ spl12_83
| ~ spl12_108 ),
inference(resolution,[],[f1084,f802]) ).
fof(f2467,plain,
( spl12_188
| ~ spl12_30
| ~ spl12_106 ),
inference(avatar_split_clause,[],[f1118,f1075,f335,f2465]) ).
fof(f2465,plain,
( spl12_188
<=> ! [X2,X0,X1] :
( sP0(X0,sK11,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_188])]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( sP0(X0,sK11,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_106 ),
inference(resolution,[],[f1076,f336]) ).
fof(f2463,plain,
( spl12_187
| ~ spl12_83
| ~ spl12_106 ),
inference(avatar_split_clause,[],[f1117,f1075,f801,f2461]) ).
fof(f2461,plain,
( spl12_187
<=> ! [X2,X0,X1] :
( sP0(X0,sK11,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_187])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( sP0(X0,sK11,set_intersection2(X1,X2))
| ~ disjoint(X2,X1) )
| ~ spl12_83
| ~ spl12_106 ),
inference(resolution,[],[f1076,f802]) ).
fof(f2459,plain,
( spl12_186
| ~ spl12_30
| ~ spl12_105 ),
inference(avatar_split_clause,[],[f1107,f1071,f335,f2457]) ).
fof(f2457,plain,
( spl12_186
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),sK11)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_186])]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),sK11)
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_105 ),
inference(resolution,[],[f1072,f336]) ).
fof(f2455,plain,
( spl12_185
| ~ spl12_83
| ~ spl12_105 ),
inference(avatar_split_clause,[],[f1106,f1071,f801,f2453]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),sK11)
| ~ disjoint(X2,X1) )
| ~ spl12_83
| ~ spl12_105 ),
inference(resolution,[],[f1072,f802]) ).
fof(f2451,plain,
( spl12_184
| ~ spl12_73
| ~ spl12_100 ),
inference(avatar_split_clause,[],[f1034,f1023,f694,f2449]) ).
fof(f2449,plain,
( spl12_184
<=> ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ empty(set_union2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_184])]) ).
fof(f1023,plain,
( spl12_100
<=> ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ subset(set_union2(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_100])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ empty(set_union2(X0,X1)) )
| ~ spl12_73
| ~ spl12_100 ),
inference(resolution,[],[f1024,f695]) ).
fof(f1024,plain,
( ! [X0,X1] :
( ~ subset(set_union2(X0,X1),X0)
| set_union2(X0,X1) = X0 )
| ~ spl12_100 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f2447,plain,
( spl12_183
| ~ spl12_34
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f661,f647,f351,f2445]) ).
fof(f2445,plain,
( spl12_183
<=> ! [X0,X1] : set_union2(X1,X0) = set_union2(X0,set_union2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_183])]) ).
fof(f661,plain,
( ! [X0,X1] : set_union2(X1,X0) = set_union2(X0,set_union2(X1,X0))
| ~ spl12_34
| ~ spl12_67 ),
inference(resolution,[],[f648,f352]) ).
fof(f2412,plain,
( spl12_182
| ~ spl12_15
| ~ spl12_116 ),
inference(avatar_split_clause,[],[f1267,f1234,f219,f2410]) ).
fof(f2410,plain,
( spl12_182
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_182])]) ).
fof(f1267,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_116 ),
inference(resolution,[],[f1235,f220]) ).
fof(f2408,plain,
( spl12_181
| ~ spl12_15
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f1243,f1226,f219,f2406]) ).
fof(f2406,plain,
( spl12_181
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_181])]) ).
fof(f1243,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_114 ),
inference(resolution,[],[f1227,f220]) ).
fof(f2404,plain,
( spl12_180
| ~ spl12_22
| ~ spl12_98 ),
inference(avatar_split_clause,[],[f991,f942,f256,f2402]) ).
fof(f2402,plain,
( spl12_180
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(set_union2(X2,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_180])]) ).
fof(f991,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(set_union2(X2,X1),X0) )
| ~ spl12_22
| ~ spl12_98 ),
inference(resolution,[],[f943,f257]) ).
fof(f2400,plain,
( spl12_179
| ~ spl12_43
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f725,f694,f425,f2398]) ).
fof(f2398,plain,
( spl12_179
<=> ! [X0,X1] :
( ~ empty(X0)
| X0 = X1
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_179])]) ).
fof(f725,plain,
( ! [X0,X1] :
( ~ empty(X0)
| X0 = X1
| ~ subset(X1,X0) )
| ~ spl12_43
| ~ spl12_73 ),
inference(resolution,[],[f695,f426]) ).
fof(f2341,plain,
( ~ spl12_178
| spl12_2
| ~ spl12_168 ),
inference(avatar_split_clause,[],[f2294,f2208,f163,f2338]) ).
fof(f2338,plain,
( spl12_178
<=> disjoint(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_178])]) ).
fof(f2208,plain,
( spl12_168
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| subset(set_intersection2(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_168])]) ).
fof(f2294,plain,
( ~ disjoint(sK2,sK3)
| spl12_2
| ~ spl12_168 ),
inference(resolution,[],[f2209,f165]) ).
fof(f2209,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X1,X0),X2)
| ~ disjoint(X0,X1) )
| ~ spl12_168 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f2246,plain,
( spl12_177
| ~ spl12_7
| ~ spl12_27
| ~ spl12_99
| ~ spl12_118 ),
inference(avatar_split_clause,[],[f1305,f1290,f1003,f292,f187,f2244]) ).
fof(f187,plain,
( spl12_7
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f292,plain,
( spl12_27
<=> ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f1003,plain,
( spl12_99
<=> ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_99])]) ).
fof(f1305,plain,
( ! [X0,X1] :
( set_union2(X1,X0) = X1
| ~ subset(X0,X1) )
| ~ spl12_7
| ~ spl12_27
| ~ spl12_99
| ~ spl12_118 ),
inference(forward_demodulation,[],[f1304,f1004]) ).
fof(f1004,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_union2(X0,X1))
| ~ spl12_99 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1304,plain,
( ! [X0,X1] :
( set_union2(X1,set_union2(X1,X0)) = X1
| ~ subset(X0,X1) )
| ~ spl12_7
| ~ spl12_27
| ~ spl12_118 ),
inference(forward_demodulation,[],[f1294,f293]) ).
fof(f293,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0)
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f1294,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(set_union2(X1,X0),X1) = X1 )
| ~ spl12_7
| ~ spl12_118 ),
inference(resolution,[],[f1291,f188]) ).
fof(f188,plain,
( ! [X0] : subset(X0,X0)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f2242,plain,
( spl12_176
| ~ spl12_78
| ~ spl12_99 ),
inference(avatar_split_clause,[],[f1018,f1003,f755,f2240]) ).
fof(f2240,plain,
( spl12_176
<=> ! [X0,X1] : sP1(X0,set_union2(X0,X1),set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_176])]) ).
fof(f755,plain,
( spl12_78
<=> ! [X0,X1] : sP1(X1,X0,set_union2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
fof(f1018,plain,
( ! [X0,X1] : sP1(X0,set_union2(X0,X1),set_union2(X0,X1))
| ~ spl12_78
| ~ spl12_99 ),
inference(superposition,[],[f756,f1004]) ).
fof(f756,plain,
( ! [X0,X1] : sP1(X1,X0,set_union2(X1,X0))
| ~ spl12_78 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f2238,plain,
( spl12_175
| ~ spl12_46
| ~ spl12_154 ),
inference(avatar_split_clause,[],[f2124,f2097,f437,f2236]) ).
fof(f2236,plain,
( spl12_175
<=> ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_175])]) ).
fof(f437,plain,
( spl12_46
<=> ! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f2097,plain,
( spl12_154
<=> ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_154])]) ).
fof(f2124,plain,
( ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X1,X0) = X0 )
| ~ spl12_46
| ~ spl12_154 ),
inference(resolution,[],[f2098,f438]) ).
fof(f438,plain,
( ! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| set_intersection2(X0,X1) = X2 )
| ~ spl12_46 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f2098,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) )
| ~ spl12_154 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2234,plain,
( spl12_174
| ~ spl12_24
| ~ spl12_99 ),
inference(avatar_split_clause,[],[f1015,f1003,f264,f2232]) ).
fof(f2232,plain,
( spl12_174
<=> ! [X0,X1] : sP1(set_union2(X0,X1),X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_174])]) ).
fof(f264,plain,
( spl12_24
<=> ! [X0,X1] : sP1(X1,X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f1015,plain,
( ! [X0,X1] : sP1(set_union2(X0,X1),X0,set_union2(X0,X1))
| ~ spl12_24
| ~ spl12_99 ),
inference(superposition,[],[f265,f1004]) ).
fof(f265,plain,
( ! [X0,X1] : sP1(X1,X0,set_union2(X0,X1))
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f2230,plain,
( spl12_173
| ~ spl12_48
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f972,f938,f455,f2228]) ).
fof(f2228,plain,
( spl12_173
<=> ! [X0,X1] :
( in(sK4(X0,X1),X1)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_173])]) ).
fof(f455,plain,
( spl12_48
<=> ! [X0,X1] :
( in(sK4(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f972,plain,
( ! [X0,X1] :
( in(sK4(X0,X1),X1)
| disjoint(X0,X1) )
| ~ spl12_48
| ~ spl12_97 ),
inference(resolution,[],[f939,f456]) ).
fof(f456,plain,
( ! [X0,X1] :
( in(sK4(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) )
| ~ spl12_48 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f2226,plain,
( spl12_172
| ~ spl12_48
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f954,f934,f455,f2224]) ).
fof(f2224,plain,
( spl12_172
<=> ! [X0,X1] :
( in(sK4(X0,X1),X0)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f954,plain,
( ! [X0,X1] :
( in(sK4(X0,X1),X0)
| disjoint(X0,X1) )
| ~ spl12_48
| ~ spl12_96 ),
inference(resolution,[],[f935,f456]) ).
fof(f2222,plain,
( spl12_171
| ~ spl12_22
| ~ spl12_92 ),
inference(avatar_split_clause,[],[f918,f837,f256,f2220]) ).
fof(f2220,plain,
( spl12_171
<=> ! [X0] :
( disjoint(X0,X0)
| ~ in(X0,sK4(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_171])]) ).
fof(f837,plain,
( spl12_92
<=> ! [X0] :
( in(sK4(X0,X0),X0)
| disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f918,plain,
( ! [X0] :
( disjoint(X0,X0)
| ~ in(X0,sK4(X0,X0)) )
| ~ spl12_22
| ~ spl12_92 ),
inference(resolution,[],[f838,f257]) ).
fof(f838,plain,
( ! [X0] :
( in(sK4(X0,X0),X0)
| disjoint(X0,X0) )
| ~ spl12_92 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f2218,plain,
( spl12_170
| ~ spl12_22
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f902,f829,f256,f2216]) ).
fof(f2216,plain,
( spl12_170
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(set_union2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_170])]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(set_union2(X1,X2),X0) )
| ~ spl12_22
| ~ spl12_90 ),
inference(resolution,[],[f830,f257]) ).
fof(f2214,plain,
( spl12_169
| ~ spl12_33
| ~ spl12_83 ),
inference(avatar_split_clause,[],[f850,f801,f347,f2212]) ).
fof(f2212,plain,
( spl12_169
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X2,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_169])]) ).
fof(f850,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X2,set_intersection2(X1,X0)) )
| ~ spl12_33
| ~ spl12_83 ),
inference(resolution,[],[f802,f348]) ).
fof(f2210,plain,
( spl12_168
| ~ spl12_37
| ~ spl12_83 ),
inference(avatar_split_clause,[],[f847,f801,f384,f2208]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| subset(set_intersection2(X1,X0),X2) )
| ~ spl12_37
| ~ spl12_83 ),
inference(resolution,[],[f802,f385]) ).
fof(f2206,plain,
( spl12_167
| ~ spl12_29
| ~ spl12_83 ),
inference(avatar_split_clause,[],[f846,f801,f300,f2204]) ).
fof(f2204,plain,
( spl12_167
<=> ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_167])]) ).
fof(f846,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X1,X0) = sK11 )
| ~ spl12_29
| ~ spl12_83 ),
inference(resolution,[],[f802,f301]) ).
fof(f2202,plain,
( spl12_166
| ~ spl12_32
| ~ spl12_83 ),
inference(avatar_split_clause,[],[f845,f801,f343,f2200]) ).
fof(f2200,plain,
( spl12_166
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(set_intersection2(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_166])]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(set_intersection2(X1,X0),X2) )
| ~ spl12_32
| ~ spl12_83 ),
inference(resolution,[],[f802,f344]) ).
fof(f2198,plain,
( spl12_165
| ~ spl12_42
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f726,f694,f417,f2196]) ).
fof(f726,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| subset(X1,X2)
| ~ subset(X1,X0) )
| ~ spl12_42
| ~ spl12_73 ),
inference(resolution,[],[f695,f418]) ).
fof(f2194,plain,
( spl12_164
| ~ spl12_46
| ~ spl12_151 ),
inference(avatar_split_clause,[],[f2111,f2085,f437,f2192]) ).
fof(f2192,plain,
( spl12_164
<=> ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f2085,plain,
( spl12_151
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_151])]) ).
fof(f2111,plain,
( ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X0,X1) = X0 )
| ~ spl12_46
| ~ spl12_151 ),
inference(resolution,[],[f2086,f438]) ).
fof(f2086,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) )
| ~ spl12_151 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f2190,plain,
( spl12_163
| ~ spl12_42
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f660,f647,f417,f2188]) ).
fof(f2188,plain,
( spl12_163
<=> ! [X2,X0,X1] :
( subset(X0,set_union2(X1,X2))
| ~ subset(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_163])]) ).
fof(f660,plain,
( ! [X2,X0,X1] :
( subset(X0,set_union2(X1,X2))
| ~ subset(X0,X2) )
| ~ spl12_42
| ~ spl12_67 ),
inference(resolution,[],[f648,f418]) ).
fof(f2179,plain,
( spl12_162
| ~ spl12_15
| ~ spl12_98 ),
inference(avatar_split_clause,[],[f992,f942,f219,f2177]) ).
fof(f2177,plain,
( spl12_162
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ empty(set_union2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_162])]) ).
fof(f992,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ empty(set_union2(X2,X1)) )
| ~ spl12_15
| ~ spl12_98 ),
inference(resolution,[],[f943,f220]) ).
fof(f2153,plain,
( spl12_161
| ~ spl12_15
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f903,f829,f219,f2151]) ).
fof(f2151,plain,
( spl12_161
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ empty(set_union2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_161])]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ empty(set_union2(X1,X2)) )
| ~ spl12_15
| ~ spl12_90 ),
inference(resolution,[],[f830,f220]) ).
fof(f2149,plain,
( spl12_160
| ~ spl12_68
| ~ spl12_82 ),
inference(avatar_split_clause,[],[f843,f797,f651,f2147]) ).
fof(f2147,plain,
( spl12_160
<=> ! [X0,X1] :
( set_intersection2(X0,X1) = sK11
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_160])]) ).
fof(f651,plain,
( spl12_68
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
fof(f843,plain,
( ! [X0,X1] :
( set_intersection2(X0,X1) = sK11
| ~ empty(X0) )
| ~ spl12_68
| ~ spl12_82 ),
inference(resolution,[],[f798,f652]) ).
fof(f652,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X0) )
| ~ spl12_68 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f2145,plain,
( spl12_159
| ~ spl12_69
| ~ spl12_82 ),
inference(avatar_split_clause,[],[f842,f797,f655,f2143]) ).
fof(f2143,plain,
( spl12_159
<=> ! [X0,X1] :
( set_intersection2(X0,X1) = sK11
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_159])]) ).
fof(f655,plain,
( spl12_69
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
fof(f842,plain,
( ! [X0,X1] :
( set_intersection2(X0,X1) = sK11
| ~ empty(X1) )
| ~ spl12_69
| ~ spl12_82 ),
inference(resolution,[],[f798,f656]) ).
fof(f656,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X1) )
| ~ spl12_69 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f2141,plain,
( spl12_158
| ~ spl12_26
| ~ spl12_80 ),
inference(avatar_split_clause,[],[f789,f784,f288,f2139]) ).
fof(f2139,plain,
( spl12_158
<=> ! [X0,X1] :
( ~ empty(set_intersection2(X1,X0))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_158])]) ).
fof(f784,plain,
( spl12_80
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(set_intersection2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f789,plain,
( ! [X0,X1] :
( ~ empty(set_intersection2(X1,X0))
| disjoint(X0,X1) )
| ~ spl12_26
| ~ spl12_80 ),
inference(superposition,[],[f785,f289]) ).
fof(f785,plain,
( ! [X0,X1] :
( ~ empty(set_intersection2(X0,X1))
| disjoint(X0,X1) )
| ~ spl12_80 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2137,plain,
( spl12_157
| ~ spl12_34
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f727,f694,f351,f2135]) ).
fof(f2135,plain,
( spl12_157
<=> ! [X0,X1] :
( ~ empty(X0)
| set_union2(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_157])]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ empty(X0)
| set_union2(X0,X1) = X1 )
| ~ spl12_34
| ~ spl12_73 ),
inference(resolution,[],[f695,f352]) ).
fof(f2107,plain,
( spl12_156
| ~ spl12_15
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f1152,f1087,f219,f2105]) ).
fof(f2105,plain,
( spl12_156
<=> ! [X0,X1] :
( sP0(sK11,X0,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_156])]) ).
fof(f1152,plain,
( ! [X0,X1] :
( sP0(sK11,X0,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_109 ),
inference(resolution,[],[f1088,f220]) ).
fof(f2103,plain,
( spl12_155
| ~ spl12_15
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f1136,f1083,f219,f2101]) ).
fof(f2101,plain,
( spl12_155
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_155])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_108 ),
inference(resolution,[],[f1084,f220]) ).
fof(f2099,plain,
( spl12_154
| ~ spl12_15
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f1125,f1079,f219,f2097]) ).
fof(f1125,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_107 ),
inference(resolution,[],[f1080,f220]) ).
fof(f2095,plain,
( spl12_153
| ~ spl12_15
| ~ spl12_106 ),
inference(avatar_split_clause,[],[f1114,f1075,f219,f2093]) ).
fof(f2093,plain,
( spl12_153
<=> ! [X0,X1] :
( sP0(X0,sK11,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_153])]) ).
fof(f1114,plain,
( ! [X0,X1] :
( sP0(X0,sK11,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_106 ),
inference(resolution,[],[f1076,f220]) ).
fof(f2091,plain,
( spl12_152
| ~ spl12_15
| ~ spl12_105 ),
inference(avatar_split_clause,[],[f1103,f1071,f219,f2089]) ).
fof(f2089,plain,
( spl12_152
<=> ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_152])]) ).
fof(f1103,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_105 ),
inference(resolution,[],[f1072,f220]) ).
fof(f2087,plain,
( spl12_151
| ~ spl12_15
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f1092,f1062,f219,f2085]) ).
fof(f1092,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_103 ),
inference(resolution,[],[f1063,f220]) ).
fof(f2065,plain,
( spl12_150
| ~ spl12_13
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f889,f821,f211,f2063]) ).
fof(f2063,plain,
( spl12_150
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_150])]) ).
fof(f889,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_88 ),
inference(superposition,[],[f822,f212]) ).
fof(f2061,plain,
( spl12_149
| ~ spl12_13
| ~ spl12_87 ),
inference(avatar_split_clause,[],[f876,f817,f211,f2059]) ).
fof(f2059,plain,
( spl12_149
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_149])]) ).
fof(f876,plain,
( ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_87 ),
inference(superposition,[],[f818,f212]) ).
fof(f2057,plain,
( spl12_148
| ~ spl12_13
| ~ spl12_85 ),
inference(avatar_split_clause,[],[f866,f809,f211,f2055]) ).
fof(f2055,plain,
( spl12_148
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_148])]) ).
fof(f866,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_85 ),
inference(superposition,[],[f810,f212]) ).
fof(f2001,plain,
( spl12_147
| ~ spl12_10
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f278,f247,f199,f1999]) ).
fof(f1999,plain,
( spl12_147
<=> ! [X0] : sK11 = set_intersection2(X0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_147])]) ).
fof(f199,plain,
( spl12_10
<=> ! [X0] : empty_set = set_intersection2(X0,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f278,plain,
( ! [X0] : sK11 = set_intersection2(X0,sK11)
| ~ spl12_10
| ~ spl12_20 ),
inference(superposition,[],[f200,f249]) ).
fof(f200,plain,
( ! [X0] : empty_set = set_intersection2(X0,empty_set)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f1854,plain,
( spl12_146
| ~ spl12_30
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f593,f567,f335,f1852]) ).
fof(f1852,plain,
( spl12_146
<=> ! [X0,X3,X2,X1] :
( in(sK9(set_intersection2(X0,X1),X2,X3),X3)
| in(sK9(set_intersection2(X0,X1),X2,X3),X2)
| sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_146])]) ).
fof(f567,plain,
( spl12_61
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1] :
( in(sK9(set_intersection2(X0,X1),X2,X3),X3)
| in(sK9(set_intersection2(X0,X1),X2,X3),X2)
| sP1(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_61 ),
inference(resolution,[],[f568,f336]) ).
fof(f568,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2) )
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1850,plain,
( spl12_145
| ~ spl12_30
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f587,f567,f335,f1848]) ).
fof(f1848,plain,
( spl12_145
<=> ! [X0,X3,X2,X1] :
( in(sK9(X0,set_intersection2(X1,X2),X3),X3)
| in(sK9(X0,set_intersection2(X1,X2),X3),X0)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_145])]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1] :
( in(sK9(X0,set_intersection2(X1,X2),X3),X3)
| in(sK9(X0,set_intersection2(X1,X2),X3),X0)
| sP1(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_61 ),
inference(resolution,[],[f568,f336]) ).
fof(f1846,plain,
( spl12_144
| ~ spl12_30
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f581,f567,f335,f1844]) ).
fof(f1844,plain,
( spl12_144
<=> ! [X0,X3,X2,X1] :
( in(sK9(X0,X1,set_intersection2(X2,X3)),X1)
| in(sK9(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_144])]) ).
fof(f581,plain,
( ! [X2,X3,X0,X1] :
( in(sK9(X0,X1,set_intersection2(X2,X3)),X1)
| in(sK9(X0,X1,set_intersection2(X2,X3)),X0)
| sP1(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl12_30
| ~ spl12_61 ),
inference(resolution,[],[f568,f336]) ).
fof(f1842,plain,
( spl12_143
| ~ spl12_11
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f277,f247,f203,f1840]) ).
fof(f1840,plain,
( spl12_143
<=> ! [X0] : set_union2(X0,sK11) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f203,plain,
( spl12_11
<=> ! [X0] : set_union2(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f277,plain,
( ! [X0] : set_union2(X0,sK11) = X0
| ~ spl12_11
| ~ spl12_20 ),
inference(superposition,[],[f204,f249]) ).
fof(f204,plain,
( ! [X0] : set_union2(X0,empty_set) = X0
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f1838,plain,
( spl12_142
| ~ spl12_22
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f591,f567,f256,f1836]) ).
fof(f1836,plain,
( spl12_142
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ in(X0,sK9(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ in(X0,sK9(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_61 ),
inference(resolution,[],[f568,f257]) ).
fof(f1834,plain,
( spl12_141
| ~ spl12_22
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f585,f567,f256,f1832]) ).
fof(f1832,plain,
( spl12_141
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X1,sK9(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_141])]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X1,sK9(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_61 ),
inference(resolution,[],[f568,f257]) ).
fof(f1830,plain,
( spl12_140
| ~ spl12_22
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f579,f567,f256,f1828]) ).
fof(f1828,plain,
( spl12_140
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X2,sK9(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_140])]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(X2,sK9(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_61 ),
inference(resolution,[],[f568,f257]) ).
fof(f1731,plain,
( spl12_139
| ~ spl12_15
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f592,f567,f219,f1729]) ).
fof(f1729,plain,
( spl12_139
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_139])]) ).
fof(f592,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_61 ),
inference(resolution,[],[f568,f220]) ).
fof(f1727,plain,
( spl12_138
| ~ spl12_15
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f586,f567,f219,f1725]) ).
fof(f1725,plain,
( spl12_138
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_138])]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X2)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_61 ),
inference(resolution,[],[f568,f220]) ).
fof(f1723,plain,
( spl12_137
| ~ spl12_15
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f580,f567,f219,f1721]) ).
fof(f1721,plain,
( spl12_137
<=> ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_137])]) ).
fof(f580,plain,
( ! [X2,X0,X1] :
( in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ empty(X2) )
| ~ spl12_15
| ~ spl12_61 ),
inference(resolution,[],[f568,f220]) ).
fof(f1635,plain,
( spl12_136
| ~ spl12_30
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f551,f520,f335,f1633]) ).
fof(f520,plain,
( spl12_57
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK8(X0,X1,X2),X0)
| in(sK8(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_57 ),
inference(resolution,[],[f521,f336]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2) )
| ~ spl12_57 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f1631,plain,
( spl12_135
| ~ spl12_30
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f547,f520,f335,f1629]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl12_30
| ~ spl12_57 ),
inference(resolution,[],[f521,f336]) ).
fof(f1627,plain,
( spl12_134
| ~ spl12_30
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f538,f516,f335,f1625]) ).
fof(f516,plain,
( spl12_56
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK8(X0,X1,X2),X1)
| in(sK8(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
fof(f538,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_56 ),
inference(resolution,[],[f517,f336]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2) )
| ~ spl12_56 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f1623,plain,
( spl12_133
| ~ spl12_30
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f534,f516,f335,f1621]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1] :
( in(sK8(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) )
| ~ spl12_30
| ~ spl12_56 ),
inference(resolution,[],[f517,f336]) ).
fof(f1427,plain,
( spl12_132
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f607,f567,f247,f191,f1425]) ).
fof(f607,plain,
( ! [X0,X1] :
( sP1(sK11,X0,X1)
| in(sK9(sK11,X0,X1),X0)
| in(sK9(sK11,X0,X1),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f606,f249]) ).
fof(f606,plain,
( ! [X0,X1] :
( in(sK9(sK11,X0,X1),X0)
| in(sK9(sK11,X0,X1),X1)
| sP1(empty_set,X0,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f605,f249]) ).
fof(f605,plain,
( ! [X0,X1] :
( in(sK9(sK11,X0,X1),X1)
| in(sK9(empty_set,X0,X1),X0)
| sP1(empty_set,X0,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f590,f249]) ).
fof(f590,plain,
( ! [X0,X1] :
( in(sK9(empty_set,X0,X1),X1)
| in(sK9(empty_set,X0,X1),X0)
| sP1(empty_set,X0,X1) )
| ~ spl12_8
| ~ spl12_61 ),
inference(resolution,[],[f568,f192]) ).
fof(f1423,plain,
( spl12_131
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f604,f567,f247,f191,f1421]) ).
fof(f604,plain,
( ! [X0,X1] :
( sP1(X0,sK11,X1)
| in(sK9(X0,sK11,X1),X0)
| in(sK9(X0,sK11,X1),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f603,f249]) ).
fof(f603,plain,
( ! [X0,X1] :
( in(sK9(X0,sK11,X1),X0)
| in(sK9(X0,sK11,X1),X1)
| sP1(X0,empty_set,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f602,f249]) ).
fof(f602,plain,
( ! [X0,X1] :
( in(sK9(X0,sK11,X1),X1)
| in(sK9(X0,empty_set,X1),X0)
| sP1(X0,empty_set,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f584,f249]) ).
fof(f584,plain,
( ! [X0,X1] :
( in(sK9(X0,empty_set,X1),X1)
| in(sK9(X0,empty_set,X1),X0)
| sP1(X0,empty_set,X1) )
| ~ spl12_8
| ~ spl12_61 ),
inference(resolution,[],[f568,f192]) ).
fof(f1419,plain,
( spl12_130
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f601,f567,f247,f191,f1417]) ).
fof(f601,plain,
( ! [X0,X1] :
( sP1(X0,X1,sK11)
| in(sK9(X0,X1,sK11),X0)
| in(sK9(X0,X1,sK11),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f600,f249]) ).
fof(f600,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,sK11),X0)
| in(sK9(X0,X1,sK11),X1)
| sP1(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f599,f249]) ).
fof(f599,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,sK11),X1)
| in(sK9(X0,X1,empty_set),X0)
| sP1(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_61 ),
inference(forward_demodulation,[],[f578,f249]) ).
fof(f578,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,empty_set),X1)
| in(sK9(X0,X1,empty_set),X0)
| sP1(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_61 ),
inference(resolution,[],[f568,f192]) ).
fof(f1415,plain,
( spl12_129
| ~ spl12_24
| ~ spl12_71 ),
inference(avatar_split_clause,[],[f714,f686,f264,f1413]) ).
fof(f1413,plain,
( spl12_129
<=> ! [X0] : sP1(X0,sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_129])]) ).
fof(f686,plain,
( spl12_71
<=> ! [X0] : set_union2(sK11,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f714,plain,
( ! [X0] : sP1(X0,sK11,X0)
| ~ spl12_24
| ~ spl12_71 ),
inference(superposition,[],[f265,f687]) ).
fof(f687,plain,
( ! [X0] : set_union2(sK11,X0) = X0
| ~ spl12_71 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f1411,plain,
( spl12_128
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f596,f567,f1409]) ).
fof(f596,plain,
( ! [X4,X5] :
( in(sK9(X4,X4,X5),X5)
| in(sK9(X4,X4,X5),X4)
| sP1(X4,X4,X5) )
| ~ spl12_61 ),
inference(factoring,[],[f568]) ).
fof(f1407,plain,
( spl12_127
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f595,f567,f1405]) ).
fof(f595,plain,
( ! [X2,X3] :
( in(sK9(X2,X3,X2),X2)
| in(sK9(X2,X3,X2),X3)
| sP1(X2,X3,X2) )
| ~ spl12_61 ),
inference(factoring,[],[f568]) ).
fof(f1403,plain,
( spl12_126
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f594,f567,f1401]) ).
fof(f594,plain,
( ! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| in(sK9(X0,X1,X1),X0)
| sP1(X0,X1,X1) )
| ~ spl12_61 ),
inference(factoring,[],[f568]) ).
fof(f1399,plain,
( spl12_125
| ~ spl12_22
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f549,f520,f256,f1397]) ).
fof(f1397,plain,
( spl12_125
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X0,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_125])]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X0,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_57 ),
inference(resolution,[],[f521,f257]) ).
fof(f1395,plain,
( spl12_124
| ~ spl12_22
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f545,f520,f256,f1393]) ).
fof(f1393,plain,
( spl12_124
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ in(X2,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_124])]) ).
fof(f545,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ in(X2,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_57 ),
inference(resolution,[],[f521,f257]) ).
fof(f1391,plain,
( spl12_123
| ~ spl12_22
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f536,f516,f256,f1389]) ).
fof(f1389,plain,
( spl12_123
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X1,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_123])]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X1,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_56 ),
inference(resolution,[],[f517,f257]) ).
fof(f1387,plain,
( spl12_122
| ~ spl12_22
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f532,f516,f256,f1385]) ).
fof(f1385,plain,
( spl12_122
<=> ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ in(X2,sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_122])]) ).
fof(f532,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ in(X2,sK8(X0,X1,X2)) )
| ~ spl12_22
| ~ spl12_56 ),
inference(resolution,[],[f517,f257]) ).
fof(f1364,plain,
( spl12_121
| ~ spl12_43
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f495,f490,f425,f1362]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| set_union2(X2,X0) = X1
| ~ subset(X1,set_union2(X2,X0)) )
| ~ spl12_43
| ~ spl12_53 ),
inference(resolution,[],[f491,f426]) ).
fof(f1314,plain,
( spl12_120
| ~ spl12_42
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f496,f490,f417,f1312]) ).
fof(f1312,plain,
( spl12_120
<=> ! [X0,X3,X2,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(X3,X1)
| ~ subset(X3,set_union2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_120])]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(X3,X1)
| ~ subset(X3,set_union2(X2,X0)) )
| ~ spl12_42
| ~ spl12_53 ),
inference(resolution,[],[f491,f418]) ).
fof(f1310,plain,
( spl12_119
| ~ spl12_45
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f494,f490,f433,f1308]) ).
fof(f1308,plain,
( spl12_119
<=> ! [X0,X3,X2,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| ~ in(X3,set_union2(X2,X0))
| in(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_119])]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| ~ in(X3,set_union2(X2,X0))
| in(X3,X1) )
| ~ spl12_45
| ~ spl12_53 ),
inference(resolution,[],[f491,f434]) ).
fof(f1292,plain,
( spl12_118
| ~ spl12_34
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f497,f490,f351,f1290]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| set_union2(set_union2(X2,X0),X1) = X1 )
| ~ spl12_34
| ~ spl12_53 ),
inference(resolution,[],[f491,f352]) ).
fof(f1240,plain,
( spl12_117
| ~ spl12_15
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f550,f520,f219,f1238]) ).
fof(f550,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_57 ),
inference(resolution,[],[f521,f220]) ).
fof(f1236,plain,
( spl12_116
| ~ spl12_15
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f546,f520,f219,f1234]) ).
fof(f546,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl12_15
| ~ spl12_57 ),
inference(resolution,[],[f521,f220]) ).
fof(f1232,plain,
( spl12_115
| ~ spl12_15
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f537,f516,f219,f1230]) ).
fof(f537,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_56 ),
inference(resolution,[],[f517,f220]) ).
fof(f1228,plain,
( spl12_114
| ~ spl12_15
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f533,f516,f219,f1226]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl12_15
| ~ spl12_56 ),
inference(resolution,[],[f517,f220]) ).
fof(f1182,plain,
( spl12_113
| ~ spl12_24
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f514,f510,f264,f1180]) ).
fof(f1180,plain,
( spl12_113
<=> ! [X2,X0,X1] :
( in(X0,X1)
| ~ in(X0,set_union2(X1,X2))
| in(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_113])]) ).
fof(f510,plain,
( spl12_55
<=> ! [X2,X4,X0,X1] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
fof(f514,plain,
( ! [X2,X0,X1] :
( in(X0,X1)
| ~ in(X0,set_union2(X1,X2))
| in(X0,X2) )
| ~ spl12_24
| ~ spl12_55 ),
inference(resolution,[],[f511,f265]) ).
fof(f511,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| in(X4,X1)
| ~ in(X4,X2)
| in(X4,X0) )
| ~ spl12_55 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f1178,plain,
( spl12_112
| ~ spl12_23
| ~ spl12_54 ),
inference(avatar_split_clause,[],[f513,f504,f260,f1176]) ).
fof(f260,plain,
( spl12_23
<=> ! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f504,plain,
( spl12_54
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) )
| ~ spl12_23
| ~ spl12_54 ),
inference(resolution,[],[f505,f261]) ).
fof(f261,plain,
( ! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1))
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f505,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) )
| ~ spl12_54 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f1164,plain,
( spl12_111
| ~ spl12_17
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f493,f490,f233,f1162]) ).
fof(f233,plain,
( spl12_17
<=> ! [X0] :
( ~ subset(X0,sK11)
| sK11 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f493,plain,
( ! [X0,X1] :
( ~ subset(X0,sK11)
| ~ subset(X1,sK11)
| set_union2(X1,X0) = sK11 )
| ~ spl12_17
| ~ spl12_53 ),
inference(resolution,[],[f491,f234]) ).
fof(f234,plain,
( ! [X0] :
( ~ subset(X0,sK11)
| sK11 = X0 )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f1149,plain,
( ~ spl12_110
| ~ spl12_68
| spl12_93 ),
inference(avatar_split_clause,[],[f990,f914,f651,f1146]) ).
fof(f1146,plain,
( spl12_110
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_110])]) ).
fof(f914,plain,
( spl12_93
<=> disjoint(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_93])]) ).
fof(f990,plain,
( ~ empty(sK3)
| ~ spl12_68
| spl12_93 ),
inference(resolution,[],[f916,f652]) ).
fof(f916,plain,
( ~ disjoint(sK3,sK2)
| spl12_93 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f1089,plain,
( spl12_109
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f556,f520,f247,f191,f1087]) ).
fof(f556,plain,
( ! [X0,X1] :
( sP0(sK11,X0,X1)
| in(sK8(sK11,X0,X1),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(forward_demodulation,[],[f555,f249]) ).
fof(f555,plain,
( ! [X0,X1] :
( in(sK8(sK11,X0,X1),X1)
| sP0(empty_set,X0,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(forward_demodulation,[],[f548,f249]) ).
fof(f548,plain,
( ! [X0,X1] :
( in(sK8(empty_set,X0,X1),X1)
| sP0(empty_set,X0,X1) )
| ~ spl12_8
| ~ spl12_57 ),
inference(resolution,[],[f521,f192]) ).
fof(f1085,plain,
( spl12_108
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f554,f520,f247,f191,f1083]) ).
fof(f554,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| in(sK8(X0,X1,sK11),X0) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(forward_demodulation,[],[f553,f249]) ).
fof(f553,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,sK11),X0)
| sP0(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_57 ),
inference(forward_demodulation,[],[f544,f249]) ).
fof(f544,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,empty_set),X0)
| sP0(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_57 ),
inference(resolution,[],[f521,f192]) ).
fof(f1081,plain,
( spl12_107
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f552,f520,f1079]) ).
fof(f552,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,X0),X0)
| sP0(X0,X1,X0) )
| ~ spl12_57 ),
inference(factoring,[],[f521]) ).
fof(f1077,plain,
( spl12_106
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f543,f516,f247,f191,f1075]) ).
fof(f543,plain,
( ! [X0,X1] :
( sP0(X0,sK11,X1)
| in(sK8(X0,sK11,X1),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(forward_demodulation,[],[f542,f249]) ).
fof(f542,plain,
( ! [X0,X1] :
( in(sK8(X0,sK11,X1),X1)
| sP0(X0,empty_set,X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(forward_demodulation,[],[f535,f249]) ).
fof(f535,plain,
( ! [X0,X1] :
( in(sK8(X0,empty_set,X1),X1)
| sP0(X0,empty_set,X1) )
| ~ spl12_8
| ~ spl12_56 ),
inference(resolution,[],[f517,f192]) ).
fof(f1073,plain,
( spl12_105
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f541,f516,f247,f191,f1071]) ).
fof(f541,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK11)
| in(sK8(X0,X1,sK11),X1) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(forward_demodulation,[],[f540,f249]) ).
fof(f540,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,sK11),X1)
| sP0(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_20
| ~ spl12_56 ),
inference(forward_demodulation,[],[f531,f249]) ).
fof(f531,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,empty_set),X1)
| sP0(X0,X1,empty_set) )
| ~ spl12_8
| ~ spl12_56 ),
inference(resolution,[],[f517,f192]) ).
fof(f1069,plain,
( ~ spl12_104
| ~ spl12_69
| spl12_93 ),
inference(avatar_split_clause,[],[f989,f914,f655,f1066]) ).
fof(f1066,plain,
( spl12_104
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_104])]) ).
fof(f989,plain,
( ~ empty(sK2)
| ~ spl12_69
| spl12_93 ),
inference(resolution,[],[f916,f656]) ).
fof(f1064,plain,
( spl12_103
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f539,f516,f1062]) ).
fof(f539,plain,
( ! [X0,X1] :
( in(sK8(X0,X1,X1),X1)
| sP0(X0,X1,X1) )
| ~ spl12_56 ),
inference(factoring,[],[f517]) ).
fof(f1033,plain,
( spl12_102
| ~ spl12_26
| ~ spl12_48 ),
inference(avatar_split_clause,[],[f463,f455,f288,f1031]) ).
fof(f1031,plain,
( spl12_102
<=> ! [X0,X1] :
( in(sK4(X0,X1),set_intersection2(X1,X0))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_102])]) ).
fof(f463,plain,
( ! [X0,X1] :
( in(sK4(X0,X1),set_intersection2(X1,X0))
| disjoint(X0,X1) )
| ~ spl12_26
| ~ spl12_48 ),
inference(superposition,[],[f456,f289]) ).
fof(f1029,plain,
( spl12_101
| ~ spl12_22
| ~ spl12_48 ),
inference(avatar_split_clause,[],[f459,f455,f256,f1027]) ).
fof(f459,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(set_intersection2(X0,X1),sK4(X0,X1)) )
| ~ spl12_22
| ~ spl12_48 ),
inference(resolution,[],[f456,f257]) ).
fof(f1025,plain,
( spl12_100
| ~ spl12_9
| ~ spl12_43 ),
inference(avatar_split_clause,[],[f446,f425,f195,f1023]) ).
fof(f446,plain,
( ! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ subset(set_union2(X0,X1),X0) )
| ~ spl12_9
| ~ spl12_43 ),
inference(resolution,[],[f426,f196]) ).
fof(f1005,plain,
( spl12_99
| ~ spl12_9
| ~ spl12_34 ),
inference(avatar_split_clause,[],[f371,f351,f195,f1003]) ).
fof(f371,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_union2(X0,X1))
| ~ spl12_9
| ~ spl12_34 ),
inference(resolution,[],[f352,f196]) ).
fof(f944,plain,
( spl12_98
| ~ spl12_24
| ~ spl12_52 ),
inference(avatar_split_clause,[],[f488,f482,f264,f942]) ).
fof(f482,plain,
( spl12_52
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| in(X0,set_union2(X2,X1)) )
| ~ spl12_24
| ~ spl12_52 ),
inference(resolution,[],[f483,f265]) ).
fof(f483,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ in(X4,X0)
| in(X4,X2) )
| ~ spl12_52 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f940,plain,
( spl12_97
| ~ spl12_23
| ~ spl12_50 ),
inference(avatar_split_clause,[],[f486,f474,f260,f938]) ).
fof(f474,plain,
( spl12_50
<=> ! [X4,X0,X2,X1] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl12_23
| ~ spl12_50 ),
inference(resolution,[],[f475,f261]) ).
fof(f475,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X0) )
| ~ spl12_50 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f936,plain,
( spl12_96
| ~ spl12_23
| ~ spl12_49 ),
inference(avatar_split_clause,[],[f485,f468,f260,f934]) ).
fof(f468,plain,
( spl12_49
<=> ! [X4,X0,X1,X2] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl12_23
| ~ spl12_49 ),
inference(resolution,[],[f469,f261]) ).
fof(f469,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X1) )
| ~ spl12_49 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f932,plain,
( spl12_95
| ~ spl12_26
| ~ spl12_40 ),
inference(avatar_split_clause,[],[f407,f396,f288,f930]) ).
fof(f930,plain,
( spl12_95
<=> ! [X0,X1] :
( set_intersection2(X1,X0) != sK11
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_95])]) ).
fof(f396,plain,
( spl12_40
<=> ! [X0,X1] :
( set_intersection2(X0,X1) != sK11
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f407,plain,
( ! [X0,X1] :
( set_intersection2(X1,X0) != sK11
| disjoint(X0,X1) )
| ~ spl12_26
| ~ spl12_40 ),
inference(superposition,[],[f397,f289]) ).
fof(f397,plain,
( ! [X0,X1] :
( set_intersection2(X0,X1) != sK11
| disjoint(X0,X1) )
| ~ spl12_40 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f928,plain,
( spl12_94
| ~ spl12_22
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f400,f384,f256,f926]) ).
fof(f926,plain,
( spl12_94
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
fof(f400,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,sK7(X0,X1)) )
| ~ spl12_22
| ~ spl12_37 ),
inference(resolution,[],[f385,f257]) ).
fof(f917,plain,
( ~ spl12_93
| spl12_2
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f881,f821,f163,f914]) ).
fof(f881,plain,
( ~ disjoint(sK3,sK2)
| spl12_2
| ~ spl12_88 ),
inference(resolution,[],[f822,f165]) ).
fof(f839,plain,
( spl12_92
| ~ spl12_13
| ~ spl12_48 ),
inference(avatar_split_clause,[],[f462,f455,f211,f837]) ).
fof(f462,plain,
( ! [X0] :
( in(sK4(X0,X0),X0)
| disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_48 ),
inference(superposition,[],[f456,f212]) ).
fof(f835,plain,
( spl12_91
| ~ spl12_23
| ~ spl12_70 ),
inference(avatar_split_clause,[],[f706,f671,f260,f833]) ).
fof(f833,plain,
( spl12_91
<=> ! [X0] : sP0(X0,sK11,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f671,plain,
( spl12_70
<=> ! [X0] : sK11 = set_intersection2(sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
fof(f706,plain,
( ! [X0] : sP0(X0,sK11,sK11)
| ~ spl12_23
| ~ spl12_70 ),
inference(superposition,[],[f261,f672]) ).
fof(f672,plain,
( ! [X0] : sK11 = set_intersection2(sK11,X0)
| ~ spl12_70 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f831,plain,
( spl12_90
| ~ spl12_9
| ~ spl12_45 ),
inference(avatar_split_clause,[],[f451,f433,f195,f829]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| in(X0,set_union2(X1,X2)) )
| ~ spl12_9
| ~ spl12_45 ),
inference(resolution,[],[f434,f196]) ).
fof(f827,plain,
( spl12_89
| ~ spl12_9
| ~ spl12_42 ),
inference(avatar_split_clause,[],[f422,f417,f195,f825]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( subset(X0,set_union2(X1,X2))
| ~ subset(X0,X1) )
| ~ spl12_9
| ~ spl12_42 ),
inference(resolution,[],[f418,f196]) ).
fof(f823,plain,
( spl12_88
| ~ spl12_30
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f402,f384,f335,f821]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_37 ),
inference(resolution,[],[f385,f336]) ).
fof(f819,plain,
( spl12_87
| ~ spl12_30
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f367,f347,f335,f817]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( disjoint(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) )
| ~ spl12_30
| ~ spl12_33 ),
inference(resolution,[],[f348,f336]) ).
fof(f815,plain,
( spl12_86
| ~ spl12_22
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f365,f347,f256,f813]) ).
fof(f813,plain,
( spl12_86
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X1,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
fof(f365,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X1,sK5(X0,X1)) )
| ~ spl12_22
| ~ spl12_33 ),
inference(resolution,[],[f348,f257]) ).
fof(f811,plain,
( spl12_85
| ~ spl12_30
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f362,f343,f335,f809]) ).
fof(f362,plain,
( ! [X2,X0,X1] :
( disjoint(set_intersection2(X0,X1),X2)
| ~ disjoint(X0,X1) )
| ~ spl12_30
| ~ spl12_32 ),
inference(resolution,[],[f344,f336]) ).
fof(f807,plain,
( spl12_84
| ~ spl12_22
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f360,f343,f256,f805]) ).
fof(f805,plain,
( spl12_84
<=> ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X0,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_84])]) ).
fof(f360,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ in(X0,sK5(X0,X1)) )
| ~ spl12_22
| ~ spl12_32 ),
inference(resolution,[],[f344,f257]) ).
fof(f803,plain,
( spl12_83
| ~ spl12_26
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f357,f335,f288,f801]) ).
fof(f357,plain,
( ! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X1,X0))
| ~ disjoint(X0,X1) )
| ~ spl12_26
| ~ spl12_30 ),
inference(superposition,[],[f336,f289]) ).
fof(f799,plain,
( spl12_82
| ~ spl12_29
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f354,f335,f300,f797]) ).
fof(f354,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = sK11 )
| ~ spl12_29
| ~ spl12_30 ),
inference(resolution,[],[f336,f301]) ).
fof(f795,plain,
( spl12_81
| ~ spl12_22
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f332,f300,f256,f793]) ).
fof(f793,plain,
( spl12_81
<=> ! [X0] :
( sK11 = X0
| ~ in(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f332,plain,
( ! [X0] :
( sK11 = X0
| ~ in(X0,sK6(X0)) )
| ~ spl12_22
| ~ spl12_29 ),
inference(resolution,[],[f301,f257]) ).
fof(f786,plain,
( spl12_80
| ~ spl12_15
| ~ spl12_48 ),
inference(avatar_split_clause,[],[f460,f455,f219,f784]) ).
fof(f460,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(set_intersection2(X0,X1)) )
| ~ spl12_15
| ~ spl12_48 ),
inference(resolution,[],[f456,f220]) ).
fof(f761,plain,
( spl12_79
| ~ spl12_13
| ~ spl12_40 ),
inference(avatar_split_clause,[],[f406,f396,f211,f759]) ).
fof(f759,plain,
( spl12_79
<=> ! [X0] :
( sK11 != X0
| disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f406,plain,
( ! [X0] :
( sK11 != X0
| disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_40 ),
inference(superposition,[],[f397,f212]) ).
fof(f757,plain,
( spl12_78
| ~ spl12_24
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f315,f292,f264,f755]) ).
fof(f315,plain,
( ! [X0,X1] : sP1(X1,X0,set_union2(X1,X0))
| ~ spl12_24
| ~ spl12_27 ),
inference(superposition,[],[f265,f293]) ).
fof(f753,plain,
( spl12_77
| ~ spl12_23
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f306,f288,f260,f751]) ).
fof(f751,plain,
( spl12_77
<=> ! [X0,X1] : sP0(X1,X0,set_intersection2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
fof(f306,plain,
( ! [X0,X1] : sP0(X1,X0,set_intersection2(X1,X0))
| ~ spl12_23
| ~ spl12_26 ),
inference(superposition,[],[f261,f289]) ).
fof(f744,plain,
( ~ spl12_76
| spl12_2
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f722,f694,f163,f741]) ).
fof(f741,plain,
( spl12_76
<=> empty(set_intersection2(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f722,plain,
( ~ empty(set_intersection2(sK3,sK2))
| spl12_2
| ~ spl12_73 ),
inference(resolution,[],[f695,f165]) ).
fof(f735,plain,
( spl12_75
| ~ spl12_6
| ~ spl12_20
| ~ spl12_42 ),
inference(avatar_split_clause,[],[f423,f417,f247,f183,f733]) ).
fof(f183,plain,
( spl12_6
<=> ! [X0] : subset(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f423,plain,
( ! [X0,X1] :
( ~ subset(X0,sK11)
| subset(X0,X1) )
| ~ spl12_6
| ~ spl12_20
| ~ spl12_42 ),
inference(forward_demodulation,[],[f420,f249]) ).
fof(f420,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ subset(X0,empty_set) )
| ~ spl12_6
| ~ spl12_42 ),
inference(resolution,[],[f418,f184]) ).
fof(f184,plain,
( ! [X0] : subset(empty_set,X0)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f731,plain,
( spl12_74
| ~ spl12_13
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f356,f335,f211,f729]) ).
fof(f729,plain,
( spl12_74
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ disjoint(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
fof(f356,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ disjoint(X0,X0) )
| ~ spl12_13
| ~ spl12_30 ),
inference(superposition,[],[f336,f212]) ).
fof(f696,plain,
( spl12_73
| ~ spl12_15
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f401,f384,f219,f694]) ).
fof(f401,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_37 ),
inference(resolution,[],[f385,f220]) ).
fof(f692,plain,
( spl12_72
| ~ spl12_5
| ~ spl12_28 ),
inference(avatar_split_clause,[],[f330,f296,f178,f690]) ).
fof(f690,plain,
( spl12_72
<=> ! [X0] :
( sK11 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
fof(f178,plain,
( spl12_5
<=> empty(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f296,plain,
( spl12_28
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f330,plain,
( ! [X0] :
( sK11 = X0
| ~ empty(X0) )
| ~ spl12_5
| ~ spl12_28 ),
inference(resolution,[],[f297,f180]) ).
fof(f180,plain,
( empty(sK11)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f688,plain,
( spl12_71
| ~ spl12_11
| ~ spl12_20
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f325,f292,f247,f203,f686]) ).
fof(f325,plain,
( ! [X0] : set_union2(sK11,X0) = X0
| ~ spl12_11
| ~ spl12_20
| ~ spl12_27 ),
inference(forward_demodulation,[],[f313,f249]) ).
fof(f313,plain,
( ! [X0] : set_union2(empty_set,X0) = X0
| ~ spl12_11
| ~ spl12_27 ),
inference(superposition,[],[f293,f204]) ).
fof(f673,plain,
( spl12_70
| ~ spl12_10
| ~ spl12_20
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f309,f288,f247,f199,f671]) ).
fof(f309,plain,
( ! [X0] : sK11 = set_intersection2(sK11,X0)
| ~ spl12_10
| ~ spl12_20
| ~ spl12_26 ),
inference(forward_demodulation,[],[f303,f249]) ).
fof(f303,plain,
( ! [X0] : empty_set = set_intersection2(empty_set,X0)
| ~ spl12_10
| ~ spl12_26 ),
inference(superposition,[],[f289,f200]) ).
fof(f657,plain,
( spl12_69
| ~ spl12_15
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f366,f347,f219,f655]) ).
fof(f366,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X1) )
| ~ spl12_15
| ~ spl12_33 ),
inference(resolution,[],[f348,f220]) ).
fof(f653,plain,
( spl12_68
| ~ spl12_15
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f361,f343,f219,f651]) ).
fof(f361,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X0) )
| ~ spl12_15
| ~ spl12_32 ),
inference(resolution,[],[f344,f220]) ).
fof(f649,plain,
( spl12_67
| ~ spl12_9
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f318,f292,f195,f647]) ).
fof(f318,plain,
( ! [X0,X1] : subset(X0,set_union2(X1,X0))
| ~ spl12_9
| ~ spl12_27 ),
inference(superposition,[],[f196,f293]) ).
fof(f632,plain,
( spl12_66
| ~ spl12_8
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f279,f247,f191,f630]) ).
fof(f630,plain,
( spl12_66
<=> ! [X0] : ~ in(X0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
fof(f279,plain,
( ! [X0] : ~ in(X0,sK11)
| ~ spl12_8
| ~ spl12_20 ),
inference(superposition,[],[f192,f249]) ).
fof(f623,plain,
( spl12_65
| ~ spl12_11
| ~ spl12_20
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f276,f264,f247,f203,f621]) ).
fof(f621,plain,
( spl12_65
<=> ! [X0] : sP1(sK11,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
fof(f276,plain,
( ! [X0] : sP1(sK11,X0,X0)
| ~ spl12_11
| ~ spl12_20
| ~ spl12_24 ),
inference(forward_demodulation,[],[f274,f249]) ).
fof(f274,plain,
( ! [X0] : sP1(empty_set,X0,X0)
| ~ spl12_11
| ~ spl12_24 ),
inference(superposition,[],[f265,f204]) ).
fof(f619,plain,
( spl12_64
| ~ spl12_14
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f275,f264,f215,f617]) ).
fof(f617,plain,
( spl12_64
<=> ! [X0] : sP1(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f215,plain,
( spl12_14
<=> ! [X0] : set_union2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f275,plain,
( ! [X0] : sP1(X0,X0,X0)
| ~ spl12_14
| ~ spl12_24 ),
inference(superposition,[],[f265,f216]) ).
fof(f216,plain,
( ! [X0] : set_union2(X0,X0) = X0
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f615,plain,
( spl12_63
| ~ spl12_10
| ~ spl12_20
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f273,f260,f247,f199,f613]) ).
fof(f613,plain,
( spl12_63
<=> ! [X0] : sP0(sK11,X0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f273,plain,
( ! [X0] : sP0(sK11,X0,sK11)
| ~ spl12_10
| ~ spl12_20
| ~ spl12_23 ),
inference(forward_demodulation,[],[f271,f249]) ).
fof(f271,plain,
( ! [X0] : sP0(empty_set,X0,empty_set)
| ~ spl12_10
| ~ spl12_23 ),
inference(superposition,[],[f261,f200]) ).
fof(f611,plain,
( spl12_62
| ~ spl12_13
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f272,f260,f211,f609]) ).
fof(f609,plain,
( spl12_62
<=> ! [X0] : sP0(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f272,plain,
( ! [X0] : sP0(X0,X0,X0)
| ~ spl12_13
| ~ spl12_23 ),
inference(superposition,[],[f261,f212]) ).
fof(f569,plain,
spl12_61,
inference(avatar_split_clause,[],[f144,f567]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ( ~ in(sK9(X0,X1,X2),X0)
& ~ in(sK9(X0,X1,X2),X1) )
| ~ in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X1)
| in(sK9(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,[sK9])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK9(X0,X1,X2),X0)
& ~ in(sK9(X0,X1,X2),X1) )
| ~ in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X1)
| in(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,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,[],[f87]) ).
fof(f87,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,[],[f86]) ).
fof(f86,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,[],[f61]) ).
fof(f61,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(f565,plain,
spl12_60,
inference(avatar_split_clause,[],[f138,f563]) ).
fof(f563,plain,
( spl12_60
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
fof(f138,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK8(X0,X1,X2),X0)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK8(X0,X1,X2),X0)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( sP0(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) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ( sP0(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) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0,X2] :
( ( sP0(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) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f530,plain,
spl12_59,
inference(avatar_split_clause,[],[f146,f528]) ).
fof(f528,plain,
( spl12_59
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
fof(f146,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f526,plain,
spl12_58,
inference(avatar_split_clause,[],[f145,f524]) ).
fof(f524,plain,
( spl12_58
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f522,plain,
spl12_57,
inference(avatar_split_clause,[],[f137,f520]) ).
fof(f137,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK8(X0,X1,X2),X0)
| in(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f518,plain,
spl12_56,
inference(avatar_split_clause,[],[f136,f516]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK8(X0,X1,X2),X1)
| in(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f512,plain,
spl12_55,
inference(avatar_split_clause,[],[f141,f510]) ).
fof(f141,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f506,plain,
spl12_54,
inference(avatar_split_clause,[],[f135,f504]) ).
fof(f135,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f492,plain,
spl12_53,
inference(avatar_split_clause,[],[f107,f490]) ).
fof(f107,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f484,plain,
spl12_52,
inference(avatar_split_clause,[],[f143,f482]) ).
fof(f143,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f480,plain,
spl12_51,
inference(avatar_split_clause,[],[f142,f478]) ).
fof(f478,plain,
( spl12_51
<=> ! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
fof(f142,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f476,plain,
spl12_50,
inference(avatar_split_clause,[],[f134,f474]) ).
fof(f134,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f470,plain,
spl12_49,
inference(avatar_split_clause,[],[f133,f468]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f457,plain,
spl12_48,
inference(avatar_split_clause,[],[f100,f455]) ).
fof(f100,plain,
! [X0,X1] :
( in(sK4(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( in(sK4(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f44,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X3] : in(X3,set_intersection2(X0,X1))
=> in(sK4(X0,X1),set_intersection2(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f44,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,[],[f37]) ).
fof(f37,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,[],[f31]) ).
fof(f31,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/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f443,plain,
spl12_47,
inference(avatar_split_clause,[],[f148,f441]) ).
fof(f441,plain,
( spl12_47
<=> ! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f148,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) )
& ( sP1(X1,X0,X2)
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> sP1(X1,X0,X2) ),
inference(definition_folding,[],[f6,f61]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f439,plain,
spl12_46,
inference(avatar_split_clause,[],[f140,f437]) ).
fof(f140,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP0(X1,X0,X2) ),
inference(definition_folding,[],[f8,f59]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f435,plain,
spl12_45,
inference(avatar_split_clause,[],[f128,f433]) ).
fof(f128,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK7(X0,X1),X1)
& in(sK7(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK7(X0,X1),X1)
& in(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f431,plain,
( spl12_44
| ~ spl12_8
| ~ spl12_20
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f368,f347,f247,f191,f429]) ).
fof(f429,plain,
( spl12_44
<=> ! [X0] : disjoint(X0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f368,plain,
( ! [X0] : disjoint(X0,sK11)
| ~ spl12_8
| ~ spl12_20
| ~ spl12_33 ),
inference(forward_demodulation,[],[f364,f249]) ).
fof(f364,plain,
( ! [X0] : disjoint(X0,empty_set)
| ~ spl12_8
| ~ spl12_33 ),
inference(resolution,[],[f348,f192]) ).
fof(f427,plain,
spl12_43,
inference(avatar_split_clause,[],[f125,f425]) ).
fof(f125,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f419,plain,
spl12_42,
inference(avatar_split_clause,[],[f106,f417]) ).
fof(f106,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f415,plain,
spl12_41,
inference(avatar_split_clause,[],[f104,f413]) ).
fof(f413,plain,
( spl12_41
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ( in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) )
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f45,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
=> ( in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X3] :
~ ( in(X3,X1)
& in(X3,X0) )
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) )
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f398,plain,
( spl12_40
| ~ spl12_20
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f382,f379,f247,f396]) ).
fof(f379,plain,
( spl12_36
<=> ! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f382,plain,
( ! [X0,X1] :
( set_intersection2(X0,X1) != sK11
| disjoint(X0,X1) )
| ~ spl12_20
| ~ spl12_36 ),
inference(forward_demodulation,[],[f380,f249]) ).
fof(f380,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f394,plain,
spl12_39,
inference(avatar_split_clause,[],[f130,f392]) ).
fof(f130,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f390,plain,
( spl12_38
| ~ spl12_8
| ~ spl12_20
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f363,f343,f247,f191,f388]) ).
fof(f388,plain,
( spl12_38
<=> ! [X0] : disjoint(sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f363,plain,
( ! [X0] : disjoint(sK11,X0)
| ~ spl12_8
| ~ spl12_20
| ~ spl12_32 ),
inference(forward_demodulation,[],[f359,f249]) ).
fof(f359,plain,
( ! [X0] : disjoint(empty_set,X0)
| ~ spl12_8
| ~ spl12_32 ),
inference(resolution,[],[f344,f192]) ).
fof(f386,plain,
spl12_37,
inference(avatar_split_clause,[],[f129,f384]) ).
fof(f129,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f381,plain,
spl12_36,
inference(avatar_split_clause,[],[f127,f379]) ).
fof(f127,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f376,plain,
spl12_35,
inference(avatar_split_clause,[],[f126,f374]) ).
fof(f374,plain,
( spl12_35
<=> ! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f126,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f353,plain,
spl12_34,
inference(avatar_split_clause,[],[f105,f351]) ).
fof(f105,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f349,plain,
spl12_33,
inference(avatar_split_clause,[],[f103,f347]) ).
fof(f103,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f345,plain,
spl12_32,
inference(avatar_split_clause,[],[f102,f343]) ).
fof(f102,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f341,plain,
( spl12_31
| ~ spl12_6
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f280,f247,f183,f339]) ).
fof(f339,plain,
( spl12_31
<=> ! [X0] : subset(sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f280,plain,
( ! [X0] : subset(sK11,X0)
| ~ spl12_6
| ~ spl12_20 ),
inference(superposition,[],[f184,f249]) ).
fof(f337,plain,
spl12_30,
inference(avatar_split_clause,[],[f101,f335]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f302,plain,
( spl12_29
| ~ spl12_20
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f286,f283,f247,f300]) ).
fof(f283,plain,
( spl12_25
<=> ! [X0] :
( empty_set = X0
| in(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f286,plain,
( ! [X0] :
( sK11 = X0
| in(sK6(X0),X0) )
| ~ spl12_20
| ~ spl12_25 ),
inference(forward_demodulation,[],[f284,f249]) ).
fof(f284,plain,
( ! [X0] :
( empty_set = X0
| in(sK6(X0),X0) )
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f298,plain,
spl12_28,
inference(avatar_split_clause,[],[f131,f296]) ).
fof(f131,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f294,plain,
spl12_27,
inference(avatar_split_clause,[],[f118,f292]) ).
fof(f118,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f290,plain,
spl12_26,
inference(avatar_split_clause,[],[f117,f288]) ).
fof(f117,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/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f285,plain,
spl12_25,
inference(avatar_split_clause,[],[f113,f283]) ).
fof(f113,plain,
! [X0] :
( empty_set = X0
| in(sK6(X0),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( empty_set = X0
| in(sK6(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f70,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f266,plain,
spl12_24,
inference(avatar_split_clause,[],[f155,f264]) ).
fof(f155,plain,
! [X0,X1] : sP1(X1,X0,set_union2(X0,X1)),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f262,plain,
spl12_23,
inference(avatar_split_clause,[],[f154,f260]) ).
fof(f154,plain,
! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1)),
inference(equality_resolution,[],[f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f258,plain,
spl12_22,
inference(avatar_split_clause,[],[f122,f256]) ).
fof(f122,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f254,plain,
spl12_21,
inference(avatar_split_clause,[],[f121,f252]) ).
fof(f252,plain,
( spl12_21
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f121,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f250,plain,
( spl12_20
| ~ spl12_5
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f224,f207,f178,f247]) ).
fof(f207,plain,
( spl12_12
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f224,plain,
( empty_set = sK11
| ~ spl12_5
| ~ spl12_12 ),
inference(resolution,[],[f208,f180]) ).
fof(f208,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f245,plain,
spl12_19,
inference(avatar_split_clause,[],[f120,f243]) ).
fof(f243,plain,
( spl12_19
<=> ! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f120,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f241,plain,
spl12_18,
inference(avatar_split_clause,[],[f119,f239]) ).
fof(f239,plain,
( spl12_18
<=> ! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f119,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f235,plain,
( spl12_17
| ~ spl12_5
| ~ spl12_12
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f231,f227,f207,f178,f233]) ).
fof(f227,plain,
( spl12_16
<=> ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f231,plain,
( ! [X0] :
( ~ subset(X0,sK11)
| sK11 = X0 )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f230,f224]) ).
fof(f230,plain,
( ! [X0] :
( sK11 = X0
| ~ subset(X0,empty_set) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f228,f224]) ).
fof(f228,plain,
( ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
spl12_16,
inference(avatar_split_clause,[],[f98,f227]) ).
fof(f98,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f221,plain,
spl12_15,
inference(avatar_split_clause,[],[f132,f219]) ).
fof(f132,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f217,plain,
spl12_14,
inference(avatar_split_clause,[],[f116,f215]) ).
fof(f116,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f213,plain,
spl12_13,
inference(avatar_split_clause,[],[f115,f211]) ).
fof(f115,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f209,plain,
spl12_12,
inference(avatar_split_clause,[],[f111,f207]) ).
fof(f111,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f205,plain,
spl12_11,
inference(avatar_split_clause,[],[f110,f203]) ).
fof(f110,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(f201,plain,
spl12_10,
inference(avatar_split_clause,[],[f109,f199]) ).
fof(f109,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f197,plain,
spl12_9,
inference(avatar_split_clause,[],[f99,f195]) ).
fof(f99,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f193,plain,
spl12_8,
inference(avatar_split_clause,[],[f151,f191]) ).
fof(f151,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f189,plain,
spl12_7,
inference(avatar_split_clause,[],[f114,f187]) ).
fof(f114,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f185,plain,
spl12_6,
inference(avatar_split_clause,[],[f97,f183]) ).
fof(f97,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f181,plain,
spl12_5,
inference(avatar_split_clause,[],[f150,f178]) ).
fof(f150,plain,
empty(sK11),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
empty(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f18,f94]) ).
fof(f94,plain,
( ? [X0] : empty(X0)
=> empty(sK11) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f176,plain,
~ spl12_4,
inference(avatar_split_clause,[],[f149,f173]) ).
fof(f173,plain,
( spl12_4
<=> empty(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f149,plain,
~ empty(sK10),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
~ empty(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f19,f92]) ).
fof(f92,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK10) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f171,plain,
spl12_3,
inference(avatar_split_clause,[],[f108,f168]) ).
fof(f168,plain,
( spl12_3
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f108,plain,
empty(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f166,plain,
( ~ spl12_2
| spl12_1 ),
inference(avatar_split_clause,[],[f161,f157,f163]) ).
fof(f157,plain,
( spl12_1
<=> subset(set_intersection2(sK2,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f161,plain,
( ~ subset(set_intersection2(sK3,sK2),sK2)
| spl12_1 ),
inference(forward_demodulation,[],[f159,f117]) ).
fof(f159,plain,
( ~ subset(set_intersection2(sK2,sK3),sK2)
| spl12_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
~ spl12_1,
inference(avatar_split_clause,[],[f96,f157]) ).
fof(f96,plain,
~ subset(set_intersection2(sK2,sK3),sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
~ subset(set_intersection2(sK2,sK3),sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f42,f63]) ).
fof(f63,plain,
( ? [X0,X1] : ~ subset(set_intersection2(X0,X1),X0)
=> ~ subset(set_intersection2(sK2,sK3),sK2) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1] : ~ subset(set_intersection2(X0,X1),X0),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU127+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 11:12:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (23591)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (23594)WARNING: value z3 for option sas not known
% 0.12/0.36 % (23595)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (23598)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)
% 0.12/0.36 % (23599)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)
% 0.12/0.36 % (23596)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)
% 0.12/0.36 % (23593)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (23594)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (23592)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [2]
% 0.12/0.39 TRYING [3]
% 0.12/0.39 TRYING [5]
% 0.12/0.39 TRYING [4]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [5]
% 0.18/0.43 TRYING [6]
% 0.18/0.44 % (23596)First to succeed.
% 0.18/0.45 TRYING [6]
% 0.18/0.46 % (23596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23591"
% 0.18/0.46 % (23596)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (23596)------------------------------
% 0.18/0.47 % (23596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.47 % (23596)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (23596)Memory used [KB]: 2338
% 0.18/0.47 % (23596)Time elapsed: 0.100 s
% 0.18/0.47 % (23596)Instructions burned: 180 (million)
% 0.18/0.47 % (23591)Success in time 0.121 s
%------------------------------------------------------------------------------