TSTP Solution File: SWW470+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW470+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n014.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 : Mon Jun 24 18:52:02 EDT 2024
% Result : Theorem 1.95s 0.63s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 529
% Syntax : Number of formulae : 1796 ( 351 unt; 0 def)
% Number of atoms : 5008 (1278 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 5344 (2132 ~;2294 |; 284 &)
% ( 409 <=>; 225 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 374 ( 372 usr; 368 prp; 0-4 aty)
% Number of functors : 137 ( 137 usr; 30 con; 0-6 aty)
% Number of variables : 3651 (3471 !; 180 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6722,plain,
$false,
inference(avatar_sat_refutation,[],[f793,f798,f803,f808,f812,f817,f821,f825,f829,f833,f837,f842,f846,f850,f854,f858,f864,f868,f873,f877,f885,f889,f893,f897,f901,f905,f909,f914,f918,f924,f930,f934,f938,f942,f946,f950,f954,f959,f963,f967,f971,f975,f976,f978,f982,f986,f990,f994,f998,f1002,f1006,f1010,f1014,f1046,f1054,f1059,f1063,f1068,f1072,f1078,f1082,f1086,f1090,f1102,f1106,f1110,f1114,f1118,f1122,f1126,f1130,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1166,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1223,f1227,f1232,f1251,f1255,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1305,f1310,f1314,f1318,f1322,f1326,f1330,f1334,f1358,f1378,f1382,f1386,f1390,f1394,f1398,f1402,f1406,f1419,f1430,f1434,f1438,f1442,f1446,f1456,f1460,f1464,f1468,f1472,f1476,f1480,f1484,f1488,f1493,f1497,f1501,f1505,f1509,f1513,f1517,f1521,f1525,f1529,f1604,f1621,f1625,f1629,f1633,f1637,f1641,f1645,f1649,f1816,f1820,f1824,f1842,f1846,f1850,f1877,f1881,f1885,f1889,f1893,f1897,f1901,f1996,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2053,f2057,f2095,f2099,f2111,f2115,f2140,f2144,f2148,f2159,f2163,f2178,f2182,f2186,f2190,f2221,f2234,f2261,f2265,f2269,f2273,f2277,f2281,f2406,f2418,f2433,f2437,f2455,f2459,f2475,f2479,f2491,f2498,f2528,f2548,f2555,f2559,f2563,f2567,f2572,f2576,f2580,f2584,f2588,f2679,f2685,f2689,f2693,f2800,f2851,f2856,f2861,f2866,f2871,f2875,f2880,f2884,f2888,f2892,f2896,f2900,f2904,f2908,f2912,f2916,f2920,f2924,f2939,f2944,f3289,f3293,f3297,f3301,f3305,f3309,f3313,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3558,f3586,f3590,f3594,f3598,f3764,f3782,f3788,f3821,f3826,f3831,f3836,f3841,f3843,f3892,f3960,f4004,f4009,f4014,f4018,f4022,f4055,f4085,f4089,f4093,f4098,f4103,f4107,f4120,f4327,f4331,f4335,f4339,f4340,f4399,f4614,f4618,f4818,f4822,f4826,f4830,f5027,f5031,f5035,f5040,f5044,f5048,f5128,f5132,f5136,f5141,f5145,f5150,f5154,f5159,f5165,f5169,f5173,f5177,f5181,f5335,f5339,f5343,f5347,f5351,f5355,f5359,f5363,f5367,f5397,f5409,f5611,f5615,f5619,f5623,f5627,f5631,f5635,f5639,f5643,f5647,f5651,f5662,f5666,f5670,f5759,f5804,f5809,f5816,f5841,f5845,f5849,f5853,f5857,f5861,f5865,f5907,f6079,f6083,f6087,f6091,f6095,f6107,f6111,f6115,f6119,f6123,f6127,f6131,f6135,f6139,f6143,f6147,f6151,f6155,f6159,f6489,f6721]) ).
fof(f6721,plain,
( spl50_22
| spl50_32
| ~ spl50_89
| ~ spl50_102
| ~ spl50_360 ),
inference(avatar_split_clause,[],[f6659,f6133,f1298,f1230,f927,f882]) ).
fof(f882,plain,
( spl50_22
<=> hBOOL(bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_22])]) ).
fof(f927,plain,
( spl50_32
<=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_32])]) ).
fof(f1230,plain,
( spl50_89
<=> ! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_89])]) ).
fof(f1298,plain,
( spl50_102
<=> bot_bot_bool = fFalse ),
introduced(avatar_definition,[new_symbols(naming,[spl50_102])]) ).
fof(f6133,plain,
( spl50_360
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_state_bool(X0,sK36(X1,X2,X3,cOMBK_1458035955bool_a(X0))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X0),X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_360])]) ).
fof(f6659,plain,
( hBOOL(bot_bot_bool)
| spl50_32
| ~ spl50_89
| ~ spl50_102
| ~ spl50_360 ),
inference(forward_demodulation,[],[f6658,f1300]) ).
fof(f1300,plain,
( bot_bot_bool = fFalse
| ~ spl50_102 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f6658,plain,
( hBOOL(fFalse)
| spl50_32
| ~ spl50_89
| ~ spl50_360 ),
inference(forward_demodulation,[],[f6637,f1231]) ).
fof(f1231,plain,
( ! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0)
| ~ spl50_89 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f6637,plain,
( hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sK36(g,c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)))))
| spl50_32
| ~ spl50_360 ),
inference(resolution,[],[f6134,f929]) ).
fof(f929,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| spl50_32 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f6134,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(X0,sK36(X1,X2,X3,cOMBK_1458035955bool_a(X0))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X0),X2,X3)))) )
| ~ spl50_360 ),
inference(avatar_component_clause,[],[f6133]) ).
fof(f6489,plain,
( spl50_367
| ~ spl50_154
| ~ spl50_231 ),
inference(avatar_split_clause,[],[f3054,f2873,f1814,f6487]) ).
fof(f6487,plain,
( spl50_367
<=> ! [X0,X1,X3] : is_bool(hAPP_bool_bool(X3,finite1948426435iple_a(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_367])]) ).
fof(f1814,plain,
( spl50_154
<=> ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_state_bool(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_154])]) ).
fof(f2873,plain,
( spl50_231
<=> ! [X2,X0,X1] : finite1948426435iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite1948426435iple_a(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_231])]) ).
fof(f3054,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,finite1948426435iple_a(X0,X1)))
| ~ spl50_154
| ~ spl50_231 ),
inference(superposition,[],[f1815,f2874]) ).
fof(f2874,plain,
( ! [X2,X0,X1] : finite1948426435iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite1948426435iple_a(X0,X1)),X2)
| ~ spl50_231 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f1815,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)))
| ~ spl50_154 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f6159,plain,
( spl50_366
| ~ spl50_79
| ~ spl50_198 ),
inference(avatar_split_clause,[],[f2411,f2279,f1164,f6157]) ).
fof(f6157,plain,
( spl50_366
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK45(X2,X1)),sK46(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_366])]) ).
fof(f1164,plain,
( spl50_79
<=> ! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_79])]) ).
fof(f2279,plain,
( spl50_198
<=> ! [X4,X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_198])]) ).
fof(f2411,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK45(X2,X1)),sK46(X2,X1))) )
| ~ spl50_79
| ~ spl50_198 ),
inference(resolution,[],[f2280,f1165]) ).
fof(f1165,plain,
( ! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X1))))
| ~ spl50_79 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f2280,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4))) )
| ~ spl50_198 ),
inference(avatar_component_clause,[],[f2279]) ).
fof(f6155,plain,
( spl50_365
| ~ spl50_79
| ~ spl50_197 ),
inference(avatar_split_clause,[],[f2407,f2275,f1164,f6153]) ).
fof(f6153,plain,
( spl50_365
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK45(X2,X1)),sK46(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_365])]) ).
fof(f2275,plain,
( spl50_197
<=> ! [X4,X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_197])]) ).
fof(f2407,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK45(X2,X1)),sK46(X2,X1))) )
| ~ spl50_79
| ~ spl50_197 ),
inference(resolution,[],[f2276,f1165]) ).
fof(f2276,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4))) )
| ~ spl50_197 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f6151,plain,
( spl50_364
| ~ spl50_79
| ~ spl50_196 ),
inference(avatar_split_clause,[],[f2399,f2271,f1164,f6149]) ).
fof(f6149,plain,
( spl50_364
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK43(X1,X2)),sK44(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_364])]) ).
fof(f2271,plain,
( spl50_196
<=> ! [X4,X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_196])]) ).
fof(f2399,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK43(X1,X2)),sK44(X1,X2))) )
| ~ spl50_79
| ~ spl50_196 ),
inference(resolution,[],[f2272,f1165]) ).
fof(f2272,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2))) )
| ~ spl50_196 ),
inference(avatar_component_clause,[],[f2271]) ).
fof(f6147,plain,
( spl50_363
| ~ spl50_154
| ~ spl50_230 ),
inference(avatar_split_clause,[],[f3048,f2869,f1814,f6145]) ).
fof(f6145,plain,
( spl50_363
<=> ! [X0,X1,X3] : is_bool(hAPP_bool_bool(X3,finite520909254iple_a(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_363])]) ).
fof(f2869,plain,
( spl50_230
<=> ! [X2,X0,X1] : finite520909254iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite520909254iple_a(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_230])]) ).
fof(f3048,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,finite520909254iple_a(X0,X1)))
| ~ spl50_154
| ~ spl50_230 ),
inference(superposition,[],[f1815,f2870]) ).
fof(f2870,plain,
( ! [X2,X0,X1] : finite520909254iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite520909254iple_a(X0,X1)),X2)
| ~ spl50_230 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f6143,plain,
( spl50_362
| ~ spl50_79
| ~ spl50_195 ),
inference(avatar_split_clause,[],[f2390,f2267,f1164,f6141]) ).
fof(f6141,plain,
( spl50_362
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X1,X2)),sK44(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_362])]) ).
fof(f2267,plain,
( spl50_195
<=> ! [X4,X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_195])]) ).
fof(f2390,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X2))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X1,X2)),sK44(X1,X2))) )
| ~ spl50_79
| ~ spl50_195 ),
inference(resolution,[],[f2268,f1165]) ).
fof(f2268,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2))) )
| ~ spl50_195 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f6139,plain,
( spl50_361
| ~ spl50_25
| ~ spl50_184 ),
inference(avatar_split_clause,[],[f2153,f2146,f895,f6137]) ).
fof(f6137,plain,
( spl50_361
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_state_bool(X0,sK38(X1,X2,X3,cOMBK_1458035955bool_a(X0))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X0),X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_361])]) ).
fof(f895,plain,
( spl50_25
<=> ! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_25])]) ).
fof(f2146,plain,
( spl50_184
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_184])]) ).
fof(f2153,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(X0,sK38(X1,X2,X3,cOMBK_1458035955bool_a(X0))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X0),X3,X1)))) )
| ~ spl50_25
| ~ spl50_184 ),
inference(superposition,[],[f2147,f896]) ).
fof(f896,plain,
( ! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f2147,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0)))) )
| ~ spl50_184 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f6135,plain,
( spl50_360
| ~ spl50_25
| ~ spl50_183 ),
inference(avatar_split_clause,[],[f2150,f2142,f895,f6133]) ).
fof(f2142,plain,
( spl50_183
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_183])]) ).
fof(f2150,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(X0,sK36(X1,X2,X3,cOMBK_1458035955bool_a(X0))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X0),X2,X3)))) )
| ~ spl50_25
| ~ spl50_183 ),
inference(superposition,[],[f2143,f896]) ).
fof(f2143,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2)))) )
| ~ spl50_183 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f6131,plain,
( spl50_359
| ~ spl50_7
| ~ spl50_176 ),
inference(avatar_split_clause,[],[f2083,f2051,f819,f6129]) ).
fof(f6129,plain,
( spl50_359
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_359])]) ).
fof(f819,plain,
( spl50_7
<=> ! [X0] : collec1266446174iple_a(X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_7])]) ).
fof(f2051,plain,
( spl50_176
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_176])]) ).
fof(f2083,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1))
| ~ spl50_7
| ~ spl50_176 ),
inference(superposition,[],[f2052,f820]) ).
fof(f820,plain,
( ! [X0] : collec1266446174iple_a(X0) = X0
| ~ spl50_7 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f2052,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1)))
| ~ spl50_176 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f6127,plain,
( spl50_358
| ~ spl50_90
| ~ spl50_163 ),
inference(avatar_split_clause,[],[f1976,f1887,f1249,f6125]) ).
fof(f6125,plain,
( spl50_358
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| sK5(X0) = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_358])]) ).
fof(f1249,plain,
( spl50_90
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),sK6(X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_90])]) ).
fof(f1887,plain,
( spl50_163
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_163])]) ).
fof(f1976,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| sK5(X0) = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_163 ),
inference(superposition,[],[f1888,f1250]) ).
fof(f1250,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),sK6(X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)))
| X0 = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2)) )
| ~ spl50_163 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f6123,plain,
( spl50_357
| ~ spl50_110
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1951,f1883,f1332,f6121]) ).
fof(f6121,plain,
( spl50_357
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_357])]) ).
fof(f1332,plain,
( spl50_110
<=> ! [X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_110])]) ).
fof(f1883,plain,
( spl50_162
<=> ! [X2,X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_162])]) ).
fof(f1951,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) )
| ~ spl50_110
| ~ spl50_162 ),
inference(superposition,[],[f1333,f1884]) ).
fof(f1884,plain,
( ! [X2,X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))
| ~ spl50_162 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1333,plain,
( ! [X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) )
| ~ spl50_110 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f6119,plain,
( spl50_356
| ~ spl50_105
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1950,f1883,f1312,f6117]) ).
fof(f6117,plain,
( spl50_356
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),X3))
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_356])]) ).
fof(f1312,plain,
( spl50_105
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_105])]) ).
fof(f1950,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),X3))
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2),X3)) )
| ~ spl50_105
| ~ spl50_162 ),
inference(superposition,[],[f1313,f1884]) ).
fof(f1313,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) )
| ~ spl50_105 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f6115,plain,
( spl50_355
| ~ spl50_93
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1949,f1883,f1262,f6113]) ).
fof(f6113,plain,
( spl50_355
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_355])]) ).
fof(f1262,plain,
( spl50_93
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_93])]) ).
fof(f1949,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) )
| ~ spl50_93
| ~ spl50_162 ),
inference(superposition,[],[f1263,f1884]) ).
fof(f1263,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) )
| ~ spl50_93 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f6111,plain,
( spl50_354
| ~ spl50_90
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1940,f1883,f1249,f6109]) ).
fof(f6109,plain,
( spl50_354
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_354])]) ).
fof(f1940,plain,
( ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_162 ),
inference(superposition,[],[f1884,f1250]) ).
fof(f6107,plain,
( spl50_353
| ~ spl50_104
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1802,f1647,f1308,f6105]) ).
fof(f6105,plain,
( spl50_353
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,X2))
| sK32(X1,X2,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_353])]) ).
fof(f1308,plain,
( spl50_104
<=> ! [X2,X0,X1] :
( sK32(X0,X1,X2) = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_104])]) ).
fof(f1647,plain,
( spl50_153
<=> ! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)
| hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_153])]) ).
fof(f1802,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,X2))
| sK32(X1,X2,X0) = X0 )
| ~ spl50_104
| ~ spl50_153 ),
inference(resolution,[],[f1648,f1309]) ).
fof(f1309,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| sK32(X0,X1,X2) = X2 )
| ~ spl50_104 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1648,plain,
( ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,X1))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0) )
| ~ spl50_153 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f6095,plain,
( spl50_352
| ~ spl50_100
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1587,f1491,f1290,f6093]) ).
fof(f6093,plain,
( spl50_352
<=> ! [X0,X3,X2,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X3),hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X3,X2),hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_352])]) ).
fof(f1290,plain,
( spl50_100
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1),X2) = hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_100])]) ).
fof(f1491,plain,
( spl50_135
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X0,X2),hAPP_H1927961489a_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_135])]) ).
fof(f1587,plain,
( ! [X2,X3,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X3),hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X3,X2),hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2)))
| ~ spl50_100
| ~ spl50_135 ),
inference(superposition,[],[f1492,f1291]) ).
fof(f1291,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1),X2) = hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2))
| ~ spl50_100 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1492,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X0,X2),hAPP_H1927961489a_bool(X1,X2))
| ~ spl50_135 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f6091,plain,
( spl50_351
| ~ spl50_101
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1583,f1491,f1294,f6089]) ).
fof(f6089,plain,
( spl50_351
<=> ! [X0,X3,X2,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X3),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X3,X2),hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_351])]) ).
fof(f1294,plain,
( spl50_101
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_101])]) ).
fof(f1583,plain,
( ! [X2,X3,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X3),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X3,X2),hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)))
| ~ spl50_101
| ~ spl50_135 ),
inference(superposition,[],[f1492,f1295]) ).
fof(f1295,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2))
| ~ spl50_101 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f6087,plain,
( spl50_350
| ~ spl50_96
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1581,f1491,f1274,f6085]) ).
fof(f6085,plain,
( spl50_350
<=> ! [X0,X3,X2,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1)),X3),X2) = hAPP_bool_bool(hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2)),hAPP_H1927961489a_bool(X3,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_350])]) ).
fof(f1274,plain,
( spl50_96
<=> ! [X2,X0,X1] : hAPP_H1877746411l_bool(hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_96])]) ).
fof(f1581,plain,
( ! [X2,X3,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1)),X3),X2) = hAPP_bool_bool(hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2)),hAPP_H1927961489a_bool(X3,X2))
| ~ spl50_96
| ~ spl50_135 ),
inference(superposition,[],[f1492,f1275]) ).
fof(f1275,plain,
( ! [X2,X0,X1] : hAPP_H1877746411l_bool(hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2))
| ~ spl50_96 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f6083,plain,
( spl50_349
| ~ spl50_99
| ~ spl50_133 ),
inference(avatar_split_clause,[],[f1576,f1482,f1286,f6081]) ).
fof(f6081,plain,
( spl50_349
<=> ! [X0,X3,X2,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X3),hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1)),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X3,X2),hAPP_bool_bool(X0,hAPP_state_bool(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_349])]) ).
fof(f1286,plain,
( spl50_99
<=> ! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_99])]) ).
fof(f1482,plain,
( spl50_133
<=> ! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),hAPP_state_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_133])]) ).
fof(f1576,plain,
( ! [X2,X3,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X3),hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1)),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X3,X2),hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)))
| ~ spl50_99
| ~ spl50_133 ),
inference(superposition,[],[f1483,f1287]) ).
fof(f1287,plain,
( ! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_state_bool(X1,X2))
| ~ spl50_99 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1483,plain,
( ! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),hAPP_state_bool(X1,X2))
| ~ spl50_133 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f6079,plain,
( spl50_348
| ~ spl50_97
| ~ spl50_133 ),
inference(avatar_split_clause,[],[f1573,f1482,f1278,f6077]) ).
fof(f6077,plain,
( spl50_348
<=> ! [X0,X3,X2,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1)),X3),X2) = hAPP_bool_bool(hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2)),hAPP_state_bool(X3,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_348])]) ).
fof(f1278,plain,
( spl50_97
<=> ! [X2,X0,X1] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_97])]) ).
fof(f1573,plain,
( ! [X2,X3,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1)),X3),X2) = hAPP_bool_bool(hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2)),hAPP_state_bool(X3,X2))
| ~ spl50_97
| ~ spl50_133 ),
inference(superposition,[],[f1483,f1279]) ).
fof(f1279,plain,
( ! [X2,X0,X1] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2))
| ~ spl50_97 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f5907,plain,
( spl50_347
| ~ spl50_154
| ~ spl50_223 ),
inference(avatar_split_clause,[],[f2759,f2687,f1814,f5905]) ).
fof(f5905,plain,
( spl50_347
<=> ! [X0,X1,X3] : is_bool(hAPP_bool_bool(X3,hAPP_f1753944735l_bool(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_347])]) ).
fof(f2687,plain,
( spl50_223
<=> ! [X2,X0,X1] : hAPP_f1753944735l_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_f1753944735l_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_223])]) ).
fof(f2759,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,hAPP_f1753944735l_bool(X0,X1)))
| ~ spl50_154
| ~ spl50_223 ),
inference(superposition,[],[f1815,f2688]) ).
fof(f2688,plain,
( ! [X2,X0,X1] : hAPP_f1753944735l_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_f1753944735l_bool(X0,X1)),X2)
| ~ spl50_223 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f5865,plain,
( spl50_346
| ~ spl50_92
| ~ spl50_177 ),
inference(avatar_split_clause,[],[f2086,f2055,f1258,f5863]) ).
fof(f5863,plain,
( spl50_346
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,sK16(hoare_472868247rivs_a(X0)))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sK17(hoare_472868247rivs_a(X0))))
| ~ sP0(hoare_472868247rivs_a(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_346])]) ).
fof(f1258,plain,
( spl50_92
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK16(X0)),sK17(X0))))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_92])]) ).
fof(f2055,plain,
( spl50_177
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X2)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_177])]) ).
fof(f2086,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,sK16(hoare_472868247rivs_a(X0)))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sK17(hoare_472868247rivs_a(X0))))
| ~ sP0(hoare_472868247rivs_a(X0)) )
| ~ spl50_92
| ~ spl50_177 ),
inference(resolution,[],[f2056,f1259]) ).
fof(f1259,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK16(X0)),sK17(X0))))
| ~ sP0(X0) )
| ~ spl50_92 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f2056,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0)) )
| ~ spl50_177 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f5861,plain,
( spl50_345
| ~ spl50_7
| ~ spl50_172 ),
inference(avatar_split_clause,[],[f2043,f2021,f819,f5859]) ).
fof(f5859,plain,
( spl50_345
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_345])]) ).
fof(f2021,plain,
( spl50_172
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_172])]) ).
fof(f2043,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1)
| ~ spl50_7
| ~ spl50_172 ),
inference(superposition,[],[f2022,f820]) ).
fof(f2022,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1))
| ~ spl50_172 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f5857,plain,
( spl50_344
| ~ spl50_52
| ~ spl50_164 ),
inference(avatar_split_clause,[],[f1977,f1891,f1012,f5855]) ).
fof(f5855,plain,
( spl50_344
<=> ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1)),sK31(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_344])]) ).
fof(f1012,plain,
( spl50_52
<=> ! [X2,X0] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X2)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_52])]) ).
fof(f1891,plain,
( spl50_164
<=> ! [X2,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_164])]) ).
fof(f1977,plain,
( ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1)),sK31(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1))
| ~ spl50_52
| ~ spl50_164 ),
inference(resolution,[],[f1892,f1013]) ).
fof(f1013,plain,
( ! [X2,X0] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X2)),X2))
| ~ spl50_52 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1892,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)) = X1 )
| ~ spl50_164 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f5853,plain,
( spl50_343
| ~ spl50_50
| ~ spl50_161 ),
inference(avatar_split_clause,[],[f1913,f1879,f1004,f5851]) ).
fof(f5851,plain,
( spl50_343
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| hBOOL(hAPP_H1927961489a_bool(X0,sK26(X0,sK8(X0))))
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_343])]) ).
fof(f1004,plain,
( spl50_50
<=> ! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_50])]) ).
fof(f1879,plain,
( spl50_161
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| hBOOL(hAPP_H1927961489a_bool(X1,sK26(X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_161])]) ).
fof(f1913,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| hBOOL(hAPP_H1927961489a_bool(X0,sK26(X0,sK8(X0))))
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| bot_bo1687970473a_bool = X0 )
| ~ spl50_50
| ~ spl50_161 ),
inference(resolution,[],[f1880,f1005]) ).
fof(f1005,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_50 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1880,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X1,X2))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| hBOOL(hAPP_H1927961489a_bool(X1,sK26(X1,X2)))
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0 )
| ~ spl50_161 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f5849,plain,
( spl50_342
| ~ spl50_49
| ~ spl50_161 ),
inference(avatar_split_clause,[],[f1912,f1879,f1000,f5847]) ).
fof(f5847,plain,
( spl50_342
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| hBOOL(hAPP_H1927961489a_bool(X0,sK26(X0,sK7(X0))))
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_342])]) ).
fof(f1000,plain,
( spl50_49
<=> ! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_49])]) ).
fof(f1912,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| hBOOL(hAPP_H1927961489a_bool(X0,sK26(X0,sK7(X0))))
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| bot_bo1687970473a_bool = X0 )
| ~ spl50_49
| ~ spl50_161 ),
inference(resolution,[],[f1880,f1001]) ).
fof(f1001,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_49 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f5845,plain,
( spl50_341
| ~ spl50_50
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1863,f1848,f1004,f5843]) ).
fof(f5843,plain,
( spl50_341
<=> ! [X0] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,sK8(X0)) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,sK8(X0)))),X0)
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_341])]) ).
fof(f1848,plain,
( spl50_159
<=> ! [X0,X1] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_159])]) ).
fof(f1863,plain,
( ! [X0] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,sK8(X0)) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,sK8(X0)))),X0)
| bot_bo1687970473a_bool = X0 )
| ~ spl50_50
| ~ spl50_159 ),
inference(resolution,[],[f1849,f1005]) ).
fof(f1849,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| hAPP_H562195827a_bool(fequal1878252616iple_a,X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0) )
| ~ spl50_159 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f5841,plain,
( spl50_340
| ~ spl50_49
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1862,f1848,f1000,f5839]) ).
fof(f5839,plain,
( spl50_340
<=> ! [X0] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,sK7(X0)) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,sK7(X0)))),X0)
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_340])]) ).
fof(f1862,plain,
( ! [X0] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,sK7(X0)) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,sK7(X0)))),X0)
| bot_bo1687970473a_bool = X0 )
| ~ spl50_49
| ~ spl50_159 ),
inference(resolution,[],[f1849,f1001]) ).
fof(f5816,plain,
( spl50_339
| ~ spl50_88
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1801,f1647,f1225,f5814]) ).
fof(f5814,plain,
( spl50_339
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X2)))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_339])]) ).
fof(f1225,plain,
( spl50_88
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1)),X2))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_88])]) ).
fof(f1801,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X2)))
| X0 = X2 )
| ~ spl50_88
| ~ spl50_153 ),
inference(resolution,[],[f1648,f1226]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1)),X2))
| X1 = X2 )
| ~ spl50_88 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f5809,plain,
( spl50_338
| ~ spl50_102
| ~ spl50_337 ),
inference(avatar_split_clause,[],[f5805,f5802,f1298,f5807]) ).
fof(f5807,plain,
( spl50_338
<=> ! [X0,X1] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_338])]) ).
fof(f5802,plain,
( spl50_337
<=> ! [X0,X1] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_337])]) ).
fof(f5805,plain,
( ! [X0,X1] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| ~ spl50_102
| ~ spl50_337 ),
inference(forward_demodulation,[],[f5803,f1300]) ).
fof(f5803,plain,
( ! [X0,X1] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| ~ spl50_337 ),
inference(avatar_component_clause,[],[f5802]) ).
fof(f5804,plain,
( spl50_337
| spl50_32
| ~ spl50_193 ),
inference(avatar_split_clause,[],[f2309,f2259,f927,f5802]) ).
fof(f2259,plain,
( spl50_193
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| hBOOL(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_193])]) ).
fof(f2309,plain,
( ! [X0,X1] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| spl50_32
| ~ spl50_193 ),
inference(resolution,[],[f2260,f929]) ).
fof(f2260,plain,
( ! [X2,X0,X1] :
( hBOOL(X2)
| hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1 )
| ~ spl50_193 ),
inference(avatar_component_clause,[],[f2259]) ).
fof(f5759,plain,
( spl50_336
| ~ spl50_145
| ~ spl50_296 ),
inference(avatar_split_clause,[],[f5206,f5037,f1602,f5757]) ).
fof(f5757,plain,
( spl50_336
<=> ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_336])]) ).
fof(f1602,plain,
( spl50_145
<=> ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(bot_bot_bool),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_145])]) ).
fof(f5037,plain,
( spl50_296
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_296])]) ).
fof(f5206,plain,
( ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_145
| ~ spl50_296 ),
inference(superposition,[],[f1603,f5039]) ).
fof(f5039,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool)
| ~ spl50_296 ),
inference(avatar_component_clause,[],[f5037]) ).
fof(f1603,plain,
( ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(bot_bot_bool),X0)
| ~ spl50_145 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f5670,plain,
( spl50_335
| ~ spl50_75
| ~ spl50_168 ),
inference(avatar_split_clause,[],[f2038,f2005,f1148,f5668]) ).
fof(f5668,plain,
( spl50_335
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK21(X0),sK20(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_335])]) ).
fof(f1148,plain,
( spl50_75
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_75])]) ).
fof(f2005,plain,
( spl50_168
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK20(X0)),sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_168])]) ).
fof(f2038,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK21(X0),sK20(X0))) )
| ~ spl50_75
| ~ spl50_168 ),
inference(resolution,[],[f2006,f1149]) ).
fof(f1149,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
| ~ spl50_75 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f2006,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK20(X0)),sK21(X0)))
| hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) )
| ~ spl50_168 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f5666,plain,
( spl50_334
| ~ spl50_52
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1855,f1848,f1012,f5664]) ).
fof(f5664,plain,
( spl50_334
<=> ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_334])]) ).
fof(f1855,plain,
( ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| ~ spl50_52
| ~ spl50_159 ),
inference(resolution,[],[f1849,f1013]) ).
fof(f5662,plain,
( spl50_333
| ~ spl50_48
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1853,f1848,f996,f5660]) ).
fof(f5660,plain,
( spl50_333
<=> ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_333])]) ).
fof(f996,plain,
( spl50_48
<=> ! [X2,X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_48])]) ).
fof(f1853,plain,
( ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))
| ~ spl50_48
| ~ spl50_159 ),
inference(resolution,[],[f1849,f997]) ).
fof(f997,plain,
( ! [X2,X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1),X2))
| ~ spl50_48 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f5651,plain,
( spl50_332
| ~ spl50_76
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1803,f1647,f1152,f5649]) ).
fof(f5649,plain,
( spl50_332
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite1734202118iple_a(X1,X2,bot_bo1687970473a_bool))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_332])]) ).
fof(f1152,plain,
( spl50_76
<=> ! [X2,X0,X1] :
( X1 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_76])]) ).
fof(f1803,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite1734202118iple_a(X1,X2,bot_bo1687970473a_bool))
| X0 = X2 )
| ~ spl50_76
| ~ spl50_153 ),
inference(resolution,[],[f1648,f1153]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2))
| X1 = X2 )
| ~ spl50_76 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f5647,plain,
( spl50_331
| ~ spl50_36
| ~ spl50_148 ),
inference(avatar_split_clause,[],[f1717,f1627,f944,f5645]) ).
fof(f5645,plain,
( spl50_331
<=> ! [X0] :
( bot_bo1687970473a_bool = sK17(X0)
| sK17(X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(sK17(X0))),sK9(sK17(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_331])]) ).
fof(f944,plain,
( spl50_36
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_36])]) ).
fof(f1627,plain,
( spl50_148
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(X0)),sK9(X0)) = X0
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_148])]) ).
fof(f1717,plain,
( ! [X0] :
( bot_bo1687970473a_bool = sK17(X0)
| sK17(X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(sK17(X0))),sK9(sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_36
| ~ spl50_148 ),
inference(resolution,[],[f1628,f945]) ).
fof(f945,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_36 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1628,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| bot_bo1687970473a_bool = X0
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(X0)),sK9(X0)) = X0 )
| ~ spl50_148 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f5643,plain,
( spl50_330
| ~ spl50_125
| ~ spl50_139 ),
inference(avatar_split_clause,[],[f1617,f1507,f1444,f5641]) ).
fof(f5641,plain,
( spl50_330
<=> ! [X2,X0,X1] :
( sK27(X1,X0,X2) = X0
| sP1(X0,X1,sK27(X1,X0,X2),X2)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_330])]) ).
fof(f1444,plain,
( spl50_125
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),sK27(X0,X1,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_125])]) ).
fof(f1507,plain,
( spl50_139
<=> ! [X0,X3,X2,X1] :
( sP1(X1,X0,X3,X2)
| X1 = X3
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_139])]) ).
fof(f1617,plain,
( ! [X2,X0,X1] :
( sK27(X1,X0,X2) = X0
| sP1(X0,X1,sK27(X1,X0,X2),X2)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) )
| ~ spl50_125
| ~ spl50_139 ),
inference(resolution,[],[f1508,f1445]) ).
fof(f1445,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),sK27(X0,X1,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) )
| ~ spl50_125 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1508,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| X1 = X3
| sP1(X1,X0,X3,X2) )
| ~ spl50_139 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f5639,plain,
( spl50_329
| ~ spl50_50
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1609,f1503,f1004,f5637]) ).
fof(f5637,plain,
( spl50_329
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK8(finite1734202118iple_a(X2,X1,X0)),X0)
| bot_bo1687970473a_bool = finite1734202118iple_a(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_329])]) ).
fof(f1503,plain,
( spl50_138
<=> ! [X0,X3,X2,X1] :
( sP1(X1,X0,X3,X2)
| bot_bo1687970473a_bool = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_138])]) ).
fof(f1609,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK8(finite1734202118iple_a(X2,X1,X0)),X0)
| bot_bo1687970473a_bool = finite1734202118iple_a(X2,X1,X0) )
| ~ spl50_50
| ~ spl50_138 ),
inference(resolution,[],[f1504,f1005]) ).
fof(f1504,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| bot_bo1687970473a_bool = X2
| sP1(X1,X0,X3,X2) )
| ~ spl50_138 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f5635,plain,
( spl50_328
| ~ spl50_49
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1608,f1503,f1000,f5633]) ).
fof(f5633,plain,
( spl50_328
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK7(finite1734202118iple_a(X2,X1,X0)),X0)
| bot_bo1687970473a_bool = finite1734202118iple_a(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_328])]) ).
fof(f1608,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK7(finite1734202118iple_a(X2,X1,X0)),X0)
| bot_bo1687970473a_bool = finite1734202118iple_a(X2,X1,X0) )
| ~ spl50_49
| ~ spl50_138 ),
inference(resolution,[],[f1504,f1001]) ).
fof(f5631,plain,
( spl50_327
| ~ spl50_88
| ~ spl50_128 ),
inference(avatar_split_clause,[],[f1540,f1462,f1225,f5629]) ).
fof(f5629,plain,
( spl50_327
<=> ! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| sK19(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_327])]) ).
fof(f1462,plain,
( spl50_128
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),sK19(X0,X1)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_128])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| sK19(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0 )
| ~ spl50_88
| ~ spl50_128 ),
inference(resolution,[],[f1463,f1226]) ).
fof(f1463,plain,
( ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),sK19(X0,X1)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) )
| ~ spl50_128 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f5627,plain,
( spl50_326
| ~ spl50_50
| ~ spl50_119 ),
inference(avatar_split_clause,[],[f1426,f1404,f1004,f5625]) ).
fof(f5625,plain,
( spl50_326
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,sK8(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_326])]) ).
fof(f1404,plain,
( spl50_119
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1),X2) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_119])]) ).
fof(f1426,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,sK8(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1) )
| ~ spl50_50
| ~ spl50_119 ),
inference(superposition,[],[f1005,f1405]) ).
fof(f1405,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1),X2) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,X2),X1)
| ~ spl50_119 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f5623,plain,
( spl50_325
| ~ spl50_49
| ~ spl50_119 ),
inference(avatar_split_clause,[],[f1425,f1404,f1000,f5621]) ).
fof(f5621,plain,
( spl50_325
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,sK7(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_325])]) ).
fof(f1425,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,sK7(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1) )
| ~ spl50_49
| ~ spl50_119 ),
inference(superposition,[],[f1001,f1405]) ).
fof(f5619,plain,
( spl50_324
| ~ spl50_50
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1423,f1400,f1004,f5617]) ).
fof(f5617,plain,
( spl50_324
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,sK8(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_324])]) ).
fof(f1400,plain,
( spl50_118
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1),X2) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_118])]) ).
fof(f1423,plain,
( ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,sK8(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1) )
| ~ spl50_50
| ~ spl50_118 ),
inference(superposition,[],[f1005,f1401]) ).
fof(f1401,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1),X2) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,X2),X1)
| ~ spl50_118 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f5615,plain,
( spl50_323
| ~ spl50_49
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1422,f1400,f1000,f5613]) ).
fof(f5613,plain,
( spl50_323
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,sK7(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_323])]) ).
fof(f1422,plain,
( ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,sK7(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1))),X1))
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1) )
| ~ spl50_49
| ~ spl50_118 ),
inference(superposition,[],[f1001,f1401]) ).
fof(f5611,plain,
( spl50_252
| ~ spl50_102
| ~ spl50_187 ),
inference(avatar_split_clause,[],[f4494,f2176,f1298,f3311]) ).
fof(f3311,plain,
( spl50_252
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,bot_bot_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_252])]) ).
fof(f2176,plain,
( spl50_187
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_187])]) ).
fof(f4494,plain,
( ! [X0] : is_bool(hAPP_bool_bool(X0,bot_bot_bool))
| ~ spl50_102
| ~ spl50_187 ),
inference(superposition,[],[f2177,f1300]) ).
fof(f2177,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse))
| ~ spl50_187 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f5409,plain,
( spl50_322
| ~ spl50_102
| ~ spl50_265 ),
inference(avatar_split_clause,[],[f5404,f3780,f1298,f5407]) ).
fof(f5407,plain,
( spl50_322
<=> ! [X0,X1] :
( bot_bot_bool = hAPP_bool_bool(X0,X1)
| fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_322])]) ).
fof(f3780,plain,
( spl50_265
<=> ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| fFalse = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_265])]) ).
fof(f5404,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_bool_bool(X0,X1)
| fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_102
| ~ spl50_265 ),
inference(forward_demodulation,[],[f3781,f1300]) ).
fof(f3781,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| fFalse = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_265 ),
inference(avatar_component_clause,[],[f3780]) ).
fof(f5397,plain,
( spl50_321
| ~ spl50_4
| ~ spl50_266 ),
inference(avatar_split_clause,[],[f3791,f3786,f805,f5395]) ).
fof(f5395,plain,
( spl50_321
<=> ! [X0] : fTrue = hAPP_bool_bool(X0,bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_321])]) ).
fof(f805,plain,
( spl50_4
<=> is_bool(bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_4])]) ).
fof(f3786,plain,
( spl50_266
<=> ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_266])]) ).
fof(f3791,plain,
( ! [X0] : fTrue = hAPP_bool_bool(X0,bot_bot_bool)
| ~ spl50_4
| ~ spl50_266 ),
inference(resolution,[],[f3787,f807]) ).
fof(f807,plain,
( is_bool(bot_bot_bool)
| ~ spl50_4 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f3787,plain,
( ! [X0,X1] :
( ~ is_bool(X1)
| fTrue = hAPP_bool_bool(X0,X1) )
| ~ spl50_266 ),
inference(avatar_component_clause,[],[f3786]) ).
fof(f5367,plain,
( spl50_320
| ~ spl50_75
| ~ spl50_165 ),
inference(avatar_split_clause,[],[f1997,f1895,f1148,f5365]) ).
fof(f5365,plain,
( spl50_320
<=> ! [X0,X3,X2,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ hBOOL(hAPP_H1927961489a_bool(sK41(X0,X1,X2,X3),sK40(X0,X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_320])]) ).
fof(f1895,plain,
( spl50_165
<=> ! [X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)))
| ~ sP1(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_165])]) ).
fof(f1997,plain,
( ! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ hBOOL(hAPP_H1927961489a_bool(sK41(X0,X1,X2,X3),sK40(X0,X1,X2,X3))) )
| ~ spl50_75
| ~ spl50_165 ),
inference(resolution,[],[f1896,f1149]) ).
fof(f1896,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)))
| ~ sP1(X0,X1,X2,X3) )
| ~ spl50_165 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f5363,plain,
( spl50_319
| ~ spl50_75
| ~ spl50_163 ),
inference(avatar_split_clause,[],[f1971,f1887,f1148,f5361]) ).
fof(f5361,plain,
( spl50_319
<=> ! [X2,X0,X1] :
( X0 = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_319])]) ).
fof(f1971,plain,
( ! [X2,X0,X1] :
( X0 = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2),X0)) )
| ~ spl50_75
| ~ spl50_163 ),
inference(resolution,[],[f1888,f1149]) ).
fof(f5359,plain,
( spl50_318
| ~ spl50_35
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1854,f1848,f940,f5357]) ).
fof(f5357,plain,
( spl50_318
<=> ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_318])]) ).
fof(f940,plain,
( spl50_35
<=> ! [X0,X1] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_35])]) ).
fof(f1854,plain,
( ! [X0,X1] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool))
| ~ spl50_35
| ~ spl50_159 ),
inference(resolution,[],[f1849,f941]) ).
fof(f941,plain,
( ! [X0,X1] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X1))
| ~ spl50_35 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f5355,plain,
( spl50_317
| ~ spl50_59
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1799,f1647,f1076,f5353]) ).
fof(f5353,plain,
( spl50_317
<=> ! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_317])]) ).
fof(f1076,plain,
( spl50_59
<=> ! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_59])]) ).
fof(f1799,plain,
( ! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| X0 = X1 )
| ~ spl50_59
| ~ spl50_153 ),
inference(resolution,[],[f1648,f1077]) ).
fof(f1077,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1))
| X0 = X1 )
| ~ spl50_59 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f5351,plain,
( spl50_316
| ~ spl50_68
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1571,f1478,f1120,f5349]) ).
fof(f5349,plain,
( spl50_316
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_316])]) ).
fof(f1120,plain,
( spl50_68
<=> ! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_68])]) ).
fof(f1478,plain,
( spl50_132
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_132])]) ).
fof(f1571,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
| ~ spl50_68
| ~ spl50_132 ),
inference(resolution,[],[f1479,f1121]) ).
fof(f1121,plain,
( ! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
| ~ spl50_68 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1479,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1 )
| ~ spl50_132 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f5347,plain,
( spl50_315
| ~ spl50_68
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1565,f1474,f1120,f5345]) ).
fof(f5345,plain,
( spl50_315
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_315])]) ).
fof(f1474,plain,
( spl50_131
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_131])]) ).
fof(f1565,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
| ~ spl50_68
| ~ spl50_131 ),
inference(resolution,[],[f1475,f1121]) ).
fof(f1475,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1 )
| ~ spl50_131 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f5343,plain,
( spl50_314
| ~ spl50_104
| ~ spl50_128 ),
inference(avatar_split_clause,[],[f1541,f1462,f1308,f5341]) ).
fof(f5341,plain,
( spl50_314
<=> ! [X0,X1] :
( bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| sK19(X1,X0) = sK32(X1,X0,sK19(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_314])]) ).
fof(f1541,plain,
( ! [X0,X1] :
( bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| sK19(X1,X0) = sK32(X1,X0,sK19(X1,X0)) )
| ~ spl50_104
| ~ spl50_128 ),
inference(resolution,[],[f1463,f1309]) ).
fof(f5339,plain,
( spl50_313
| ~ spl50_50
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1352,f1308,f1004,f5337]) ).
fof(f5337,plain,
( spl50_313
<=> ! [X0,X1] :
( sK8(finite388748825iple_a(X0,X1)) = sK32(X0,X1,sK8(finite388748825iple_a(X0,X1)))
| bot_bo1687970473a_bool = finite388748825iple_a(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_313])]) ).
fof(f1352,plain,
( ! [X0,X1] :
( sK8(finite388748825iple_a(X0,X1)) = sK32(X0,X1,sK8(finite388748825iple_a(X0,X1)))
| bot_bo1687970473a_bool = finite388748825iple_a(X0,X1) )
| ~ spl50_50
| ~ spl50_104 ),
inference(resolution,[],[f1309,f1005]) ).
fof(f5335,plain,
( spl50_312
| ~ spl50_49
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1351,f1308,f1000,f5333]) ).
fof(f5333,plain,
( spl50_312
<=> ! [X0,X1] :
( sK7(finite388748825iple_a(X0,X1)) = sK32(X0,X1,sK7(finite388748825iple_a(X0,X1)))
| bot_bo1687970473a_bool = finite388748825iple_a(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_312])]) ).
fof(f1351,plain,
( ! [X0,X1] :
( sK7(finite388748825iple_a(X0,X1)) = sK32(X0,X1,sK7(finite388748825iple_a(X0,X1)))
| bot_bo1687970473a_bool = finite388748825iple_a(X0,X1) )
| ~ spl50_49
| ~ spl50_104 ),
inference(resolution,[],[f1309,f1001]) ).
fof(f5181,plain,
( spl50_311
| ~ spl50_29
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1852,f1848,f912,f5179]) ).
fof(f5179,plain,
( spl50_311
<=> ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_311])]) ).
fof(f912,plain,
( spl50_29
<=> ! [X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_29])]) ).
fof(f1852,plain,
( ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))
| ~ spl50_29
| ~ spl50_159 ),
inference(resolution,[],[f1849,f913]) ).
fof(f913,plain,
( ! [X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1))
| ~ spl50_29 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f5177,plain,
( spl50_310
| ~ spl50_75
| ~ spl50_158 ),
inference(avatar_split_clause,[],[f1851,f1844,f1148,f5175]) ).
fof(f5175,plain,
( spl50_310
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(sK31(X0,X1,X2),sK30(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_310])]) ).
fof(f1844,plain,
( spl50_158
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_158])]) ).
fof(f1851,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(sK31(X0,X1,X2),sK30(X0,X1,X2))) )
| ~ spl50_75
| ~ spl50_158 ),
inference(resolution,[],[f1845,f1149]) ).
fof(f1845,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) )
| ~ spl50_158 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f5173,plain,
( spl50_309
| ~ spl50_36
| ~ spl50_156 ),
inference(avatar_split_clause,[],[f1837,f1822,f944,f5171]) ).
fof(f5171,plain,
( spl50_309
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,sK17(X1)))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_309])]) ).
fof(f1822,plain,
( spl50_156
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_156])]) ).
fof(f1837,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,sK17(X1)))
| ~ sP0(X1) )
| ~ spl50_36
| ~ spl50_156 ),
inference(resolution,[],[f1823,f945]) ).
fof(f1823,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,X1)) )
| ~ spl50_156 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f5169,plain,
( spl50_308
| ~ spl50_36
| ~ spl50_155 ),
inference(avatar_split_clause,[],[f1830,f1818,f944,f5167]) ).
fof(f5167,plain,
( spl50_308
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,sK17(X1)))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_308])]) ).
fof(f1818,plain,
( spl50_155
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_155])]) ).
fof(f1830,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,sK17(X1)))
| ~ sP0(X1) )
| ~ spl50_36
| ~ spl50_155 ),
inference(resolution,[],[f1819,f945]) ).
fof(f1819,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(X0,X1)) )
| ~ spl50_155 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f5165,plain,
( spl50_307
| ~ spl50_90
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1796,f1643,f1249,f5163]) ).
fof(f5163,plain,
( spl50_307
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_307])]) ).
fof(f1643,plain,
( spl50_152
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_152])]) ).
fof(f1796,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_152 ),
inference(superposition,[],[f1644,f1250]) ).
fof(f1644,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) )
| ~ spl50_152 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f5159,plain,
( spl50_306
| ~ spl50_111
| ~ spl50_261
| ~ spl50_305 ),
inference(avatar_split_clause,[],[f5155,f5152,f3584,f1355,f5157]) ).
fof(f5157,plain,
( spl50_306
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X0,sK17(X1)) = hAPP_f1826273671iple_a(finite233325225iple_a(X2),sK17(X1))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_306])]) ).
fof(f1355,plain,
( spl50_111
<=> hBOOL(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_111])]) ).
fof(f3584,plain,
( spl50_261
<=> ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_261])]) ).
fof(f5152,plain,
( spl50_305
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X0,sK17(X1)) = hAPP_f1826273671iple_a(finite233325225iple_a(X2),sK17(X1))
| ~ hBOOL(finite520909254iple_a(X2,X0))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_305])]) ).
fof(f5155,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(fTrue)
| hAPP_f1826273671iple_a(X0,sK17(X1)) = hAPP_f1826273671iple_a(finite233325225iple_a(X2),sK17(X1))
| ~ sP0(X1) )
| ~ spl50_261
| ~ spl50_305 ),
inference(forward_demodulation,[],[f5153,f3585]) ).
fof(f3585,plain,
( ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue
| ~ spl50_261 ),
inference(avatar_component_clause,[],[f3584]) ).
fof(f5153,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(finite520909254iple_a(X2,X0))
| hAPP_f1826273671iple_a(X0,sK17(X1)) = hAPP_f1826273671iple_a(finite233325225iple_a(X2),sK17(X1))
| ~ sP0(X1) )
| ~ spl50_305 ),
inference(avatar_component_clause,[],[f5152]) ).
fof(f5154,plain,
( spl50_305
| ~ spl50_36
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1786,f1639,f944,f5152]) ).
fof(f1639,plain,
( spl50_151
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_151])]) ).
fof(f1786,plain,
( ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X0,sK17(X1)) = hAPP_f1826273671iple_a(finite233325225iple_a(X2),sK17(X1))
| ~ hBOOL(finite520909254iple_a(X2,X0))
| ~ sP0(X1) )
| ~ spl50_36
| ~ spl50_151 ),
inference(resolution,[],[f1640,f945]) ).
fof(f1640,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0)
| ~ hBOOL(finite520909254iple_a(X1,X2)) )
| ~ spl50_151 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f5150,plain,
( spl50_304
| ~ spl50_90
| ~ spl50_137 ),
inference(avatar_split_clause,[],[f1600,f1499,f1249,f5148]) ).
fof(f5148,plain,
( spl50_304
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| sK5(X0) = X1
| hBOOL(hAPP_H1927961489a_bool(sK6(X0),X1))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_304])]) ).
fof(f1499,plain,
( spl50_137
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_137])]) ).
fof(f1600,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| sK5(X0) = X1
| hBOOL(hAPP_H1927961489a_bool(sK6(X0),X1))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_137 ),
inference(superposition,[],[f1500,f1250]) ).
fof(f1500,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| X0 = X2
| hBOOL(hAPP_H1927961489a_bool(X1,X2)) )
| ~ spl50_137 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f5145,plain,
( spl50_303
| ~ spl50_50
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1349,f1294,f1004,f5143]) ).
fof(f5143,plain,
( spl50_303
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,sK8(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_303])]) ).
fof(f1349,plain,
( ! [X0,X1] :
( hBOOL(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,sK8(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1) )
| ~ spl50_50
| ~ spl50_101 ),
inference(superposition,[],[f1005,f1295]) ).
fof(f5141,plain,
( spl50_302
| ~ spl50_37
| ~ spl50_282 ),
inference(avatar_split_clause,[],[f4814,f4101,f948,f5139]) ).
fof(f5139,plain,
( spl50_302
<=> ! [X0] : ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_302])]) ).
fof(f948,plain,
( spl50_37
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_37])]) ).
fof(f4101,plain,
( spl50_282
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK17(hAPP_H1926610125l_bool(member564727580iple_a,X0))))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_282])]) ).
fof(f4814,plain,
( ! [X0] : ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0))
| ~ spl50_37
| ~ spl50_282 ),
inference(duplicate_literal_removal,[],[f4810]) ).
fof(f4810,plain,
( ! [X0] :
( ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) )
| ~ spl50_37
| ~ spl50_282 ),
inference(resolution,[],[f4102,f949]) ).
fof(f949,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f4102,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK17(hAPP_H1926610125l_bool(member564727580iple_a,X0))))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) )
| ~ spl50_282 ),
inference(avatar_component_clause,[],[f4101]) ).
fof(f5136,plain,
( spl50_301
| ~ spl50_49
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1348,f1294,f1000,f5134]) ).
fof(f5134,plain,
( spl50_301
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,sK7(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_301])]) ).
fof(f1348,plain,
( ! [X0,X1] :
( hBOOL(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,sK7(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1) )
| ~ spl50_49
| ~ spl50_101 ),
inference(superposition,[],[f1001,f1295]) ).
fof(f5132,plain,
( spl50_300
| ~ spl50_50
| ~ spl50_100 ),
inference(avatar_split_clause,[],[f1346,f1290,f1004,f5130]) ).
fof(f5130,plain,
( spl50_300
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,sK8(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_300])]) ).
fof(f1346,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,sK8(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1) )
| ~ spl50_50
| ~ spl50_100 ),
inference(superposition,[],[f1005,f1291]) ).
fof(f5128,plain,
( spl50_299
| ~ spl50_49
| ~ spl50_100 ),
inference(avatar_split_clause,[],[f1345,f1290,f1000,f5126]) ).
fof(f5126,plain,
( spl50_299
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,sK7(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_299])]) ).
fof(f1345,plain,
( ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,sK7(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1)))))
| bot_bo1687970473a_bool = hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1) )
| ~ spl50_49
| ~ spl50_100 ),
inference(superposition,[],[f1001,f1291]) ).
fof(f5048,plain,
( spl50_298
| ~ spl50_61
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1964,f1883,f1084,f5046]) ).
fof(f5046,plain,
( spl50_298
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_298])]) ).
fof(f1084,plain,
( spl50_61
<=> ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_61])]) ).
fof(f1964,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))
| ~ spl50_61
| ~ spl50_162 ),
inference(forward_demodulation,[],[f1936,f1085]) ).
fof(f1085,plain,
( ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)
| ~ spl50_61 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1936,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))
| ~ spl50_61
| ~ spl50_162 ),
inference(superposition,[],[f1884,f1085]) ).
fof(f5044,plain,
( spl50_297
| ~ spl50_125
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1611,f1503,f1444,f5042]) ).
fof(f5042,plain,
( spl50_297
<=> ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK27(X2,X1,X0),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_297])]) ).
fof(f1611,plain,
( ! [X2,X0,X1] :
( bot_bo1687970473a_bool = X0
| sP1(X1,X2,sK27(X2,X1,X0),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) )
| ~ spl50_125
| ~ spl50_138 ),
inference(resolution,[],[f1504,f1445]) ).
fof(f5040,plain,
( spl50_296
| ~ spl50_19
| ~ spl50_102 ),
inference(avatar_split_clause,[],[f2807,f1298,f870,f5037]) ).
fof(f870,plain,
( spl50_19
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_19])]) ).
fof(f2807,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool)
| ~ spl50_19
| ~ spl50_102 ),
inference(superposition,[],[f872,f1300]) ).
fof(f872,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse)
| ~ spl50_19 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f5035,plain,
( spl50_295
| ~ spl50_37
| ~ spl50_136 ),
inference(avatar_split_clause,[],[f1592,f1495,f948,f5033]) ).
fof(f5033,plain,
( spl50_295
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sK17(hoare_472868247rivs_a(X1))))
| ~ sP0(hoare_472868247rivs_a(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_295])]) ).
fof(f1495,plain,
( spl50_136
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_136])]) ).
fof(f1592,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sK17(hoare_472868247rivs_a(X1))))
| ~ sP0(hoare_472868247rivs_a(X1)) )
| ~ spl50_37
| ~ spl50_136 ),
inference(resolution,[],[f1496,f949]) ).
fof(f1496,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2)) )
| ~ spl50_136 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f5031,plain,
( spl50_294
| ~ spl50_50
| ~ spl50_88 ),
inference(avatar_split_clause,[],[f1247,f1225,f1004,f5029]) ).
fof(f5029,plain,
( spl50_294
<=> ! [X0,X1] :
( sK8(finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) = X0
| bot_bo1687970473a_bool = finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_294])]) ).
fof(f1247,plain,
( ! [X0,X1] :
( sK8(finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) = X0
| bot_bo1687970473a_bool = finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) )
| ~ spl50_50
| ~ spl50_88 ),
inference(resolution,[],[f1226,f1005]) ).
fof(f5027,plain,
( spl50_293
| ~ spl50_49
| ~ spl50_88 ),
inference(avatar_split_clause,[],[f1246,f1225,f1000,f5025]) ).
fof(f5025,plain,
( spl50_293
<=> ! [X0,X1] :
( sK7(finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) = X0
| bot_bo1687970473a_bool = finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_293])]) ).
fof(f1246,plain,
( ! [X0,X1] :
( sK7(finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) = X0
| bot_bo1687970473a_bool = finite388748825iple_a(X1,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) )
| ~ spl50_49
| ~ spl50_88 ),
inference(resolution,[],[f1226,f1001]) ).
fof(f4830,plain,
( spl50_292
| ~ spl50_68
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1948,f1883,f1120,f4828]) ).
fof(f4828,plain,
( spl50_292
<=> ! [X2,X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_292])]) ).
fof(f1948,plain,
( ! [X2,X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))))
| ~ spl50_68
| ~ spl50_162 ),
inference(superposition,[],[f1121,f1884]) ).
fof(f4826,plain,
( spl50_291
| ~ spl50_73
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1792,f1643,f1140,f4824]) ).
fof(f4824,plain,
( spl50_291
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_291])]) ).
fof(f1140,plain,
( spl50_73
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_73])]) ).
fof(f1792,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1),X0)) )
| ~ spl50_73
| ~ spl50_152 ),
inference(resolution,[],[f1644,f1141]) ).
fof(f1141,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
| ~ spl50_73 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f4822,plain,
( spl50_290
| ~ spl50_66
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1569,f1478,f1112,f4820]) ).
fof(f4820,plain,
( spl50_290
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),sK25(sK12(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_290])]) ).
fof(f1112,plain,
( spl50_66
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_66])]) ).
fof(f1569,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),sK25(sK12(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_132 ),
inference(resolution,[],[f1479,f1113]) ).
fof(f1113,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f4818,plain,
( spl50_289
| ~ spl50_65
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1568,f1478,f1108,f4816]) ).
fof(f4816,plain,
( spl50_289
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),sK25(sK11(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_289])]) ).
fof(f1108,plain,
( spl50_65
<=> ! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_65])]) ).
fof(f1568,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),sK25(sK11(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_132 ),
inference(resolution,[],[f1479,f1109]) ).
fof(f1109,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f4618,plain,
( spl50_288
| ~ spl50_102
| ~ spl50_229 ),
inference(avatar_split_clause,[],[f4408,f2864,f1298,f4616]) ).
fof(f4616,plain,
( spl50_288
<=> ! [X0,X1] :
( bot_bot_bool = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_288])]) ).
fof(f2864,plain,
( spl50_229
<=> ! [X0,X1] :
( fTrue = hAPP_H1927961489a_bool(X0,X1)
| fFalse = hAPP_H1927961489a_bool(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_229])]) ).
fof(f4408,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2865,f1300]) ).
fof(f2865,plain,
( ! [X0,X1] :
( fFalse = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_229 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f4614,plain,
( spl50_287
| ~ spl50_102
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f2862,f2859,f1298,f4612]) ).
fof(f4612,plain,
( spl50_287
<=> ! [X0,X1] :
( bot_bot_bool = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_287])]) ).
fof(f2859,plain,
( spl50_228
<=> ! [X0,X1] :
( fTrue = hAPP_state_bool(X0,X1)
| fFalse = hAPP_state_bool(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_228])]) ).
fof(f2862,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2860,f1300]) ).
fof(f2860,plain,
( ! [X0,X1] :
( fFalse = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_228 ),
inference(avatar_component_clause,[],[f2859]) ).
fof(f4399,plain,
( spl50_272
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(avatar_split_clause,[],[f4384,f3592,f2683,f1230,f3890]) ).
fof(f3890,plain,
( spl50_272
<=> ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_272])]) ).
fof(f2683,plain,
( spl50_222
<=> ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fFalse = hAPP_f1753944735l_bool(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_222])]) ).
fof(f3592,plain,
( spl50_263
<=> ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_263])]) ).
fof(f4384,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(duplicate_literal_removal,[],[f4383]) ).
fof(f4383,plain,
( ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(forward_demodulation,[],[f2684,f3990]) ).
fof(f3990,plain,
( fFalse = fTrue
| ~ spl50_89
| ~ spl50_263 ),
inference(superposition,[],[f1231,f3593]) ).
fof(f3593,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_263 ),
inference(avatar_component_clause,[],[f3592]) ).
fof(f2684,plain,
( ! [X0,X1] :
( fFalse = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_222 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f4340,plain,
( ~ spl50_111
| ~ spl50_123
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f4131,f3890,f1436,f1355]) ).
fof(f1436,plain,
( spl50_123
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK25(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_123])]) ).
fof(f4131,plain,
( ~ hBOOL(fTrue)
| ~ spl50_123
| ~ spl50_272 ),
inference(duplicate_literal_removal,[],[f4130]) ).
fof(f4130,plain,
( ~ hBOOL(fTrue)
| ~ hBOOL(fTrue)
| ~ spl50_123
| ~ spl50_272 ),
inference(forward_demodulation,[],[f3936,f3891]) ).
fof(f3891,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_272 ),
inference(avatar_component_clause,[],[f3890]) ).
fof(f3936,plain,
( ! [X0,X1] :
( ~ hBOOL(fTrue)
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) )
| ~ spl50_123
| ~ spl50_272 ),
inference(superposition,[],[f1437,f3891]) ).
fof(f1437,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK25(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) )
| ~ spl50_123 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f4339,plain,
( spl50_286
| ~ spl50_64
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1567,f1478,f1104,f4337]) ).
fof(f4337,plain,
( spl50_286
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),sK25(sK3(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_286])]) ).
fof(f1104,plain,
( spl50_64
<=> ! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_64])]) ).
fof(f1567,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),sK25(sK3(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_132 ),
inference(resolution,[],[f1479,f1105]) ).
fof(f1105,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f4335,plain,
( spl50_285
| ~ spl50_66
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1563,f1474,f1112,f4333]) ).
fof(f4333,plain,
( spl50_285
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),sK24(sK12(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_285])]) ).
fof(f1563,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),sK24(sK12(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_131 ),
inference(resolution,[],[f1475,f1113]) ).
fof(f4331,plain,
( spl50_284
| ~ spl50_65
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1562,f1474,f1108,f4329]) ).
fof(f4329,plain,
( spl50_284
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),sK24(sK11(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_284])]) ).
fof(f1562,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),sK24(sK11(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_131 ),
inference(resolution,[],[f1475,f1109]) ).
fof(f4327,plain,
( spl50_283
| ~ spl50_64
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1561,f1474,f1104,f4325]) ).
fof(f4325,plain,
( spl50_283
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),sK24(sK3(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_283])]) ).
fof(f1561,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),sK24(sK3(X0),X0)) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_131 ),
inference(resolution,[],[f1475,f1105]) ).
fof(f4120,plain,
( ~ spl50_111
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(avatar_split_clause,[],[f4118,f4007,f3890,f2864,f1416,f1355]) ).
fof(f1416,plain,
( spl50_120
<=> fFalse = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_120])]) ).
fof(f4007,plain,
( spl50_274
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK25(X0,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_274])]) ).
fof(f4118,plain,
( ~ hBOOL(fTrue)
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(duplicate_literal_removal,[],[f4117]) ).
fof(f4117,plain,
( ~ hBOOL(fTrue)
| ~ hBOOL(fTrue)
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(forward_demodulation,[],[f4010,f3773]) ).
fof(f3773,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_120
| ~ spl50_229 ),
inference(trivial_inequality_removal,[],[f3772]) ).
fof(f3772,plain,
( ! [X0,X1] :
( fTrue != fTrue
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_120
| ~ spl50_229 ),
inference(forward_demodulation,[],[f3042,f1417]) ).
fof(f1417,plain,
( fFalse = fTrue
| ~ spl50_120 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f3042,plain,
( ! [X0,X1] :
( fFalse != fTrue
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_229 ),
inference(equality_factoring,[],[f2865]) ).
fof(f4010,plain,
( ! [X0,X1] :
( ~ hBOOL(fTrue)
| ~ hBOOL(hAPP_H1927961489a_bool(sK25(X0,X1),X0)) )
| ~ spl50_272
| ~ spl50_274 ),
inference(forward_demodulation,[],[f4008,f3891]) ).
fof(f4008,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK25(X0,X1),X0)) )
| ~ spl50_274 ),
inference(avatar_component_clause,[],[f4007]) ).
fof(f4107,plain,
( ~ spl50_111
| spl50_211
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f3959,f3890,f2545,f1355]) ).
fof(f2545,plain,
( spl50_211
<=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_211])]) ).
fof(f3959,plain,
( ~ hBOOL(fTrue)
| spl50_211
| ~ spl50_272 ),
inference(superposition,[],[f2547,f3891]) ).
fof(f2547,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a)))
| spl50_211 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f4103,plain,
( spl50_282
| ~ spl50_92
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1793,f1643,f1258,f4101]) ).
fof(f1793,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK17(hAPP_H1926610125l_bool(member564727580iple_a,X0))))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) )
| ~ spl50_92
| ~ spl50_152 ),
inference(resolution,[],[f1644,f1259]) ).
fof(f4098,plain,
( spl50_281
| ~ spl50_75
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1570,f1478,f1148,f4096]) ).
fof(f4096,plain,
( spl50_281
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_281])]) ).
fof(f1570,plain,
( ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
| ~ spl50_75
| ~ spl50_132 ),
inference(resolution,[],[f1479,f1149]) ).
fof(f4093,plain,
( spl50_280
| ~ spl50_75
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1564,f1474,f1148,f4091]) ).
fof(f4091,plain,
( spl50_280
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_280])]) ).
fof(f1564,plain,
( ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
| ~ spl50_75
| ~ spl50_131 ),
inference(resolution,[],[f1475,f1149]) ).
fof(f4089,plain,
( spl50_279
| ~ spl50_50
| ~ spl50_76 ),
inference(avatar_split_clause,[],[f1189,f1152,f1004,f4087]) ).
fof(f4087,plain,
( spl50_279
<=> ! [X0,X1] :
( sK8(finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool)) = X0
| bot_bo1687970473a_bool = finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_279])]) ).
fof(f1189,plain,
( ! [X0,X1] :
( sK8(finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool)) = X0
| bot_bo1687970473a_bool = finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool) )
| ~ spl50_50
| ~ spl50_76 ),
inference(resolution,[],[f1153,f1005]) ).
fof(f4085,plain,
( spl50_278
| ~ spl50_49
| ~ spl50_76 ),
inference(avatar_split_clause,[],[f1188,f1152,f1000,f4083]) ).
fof(f4083,plain,
( spl50_278
<=> ! [X0,X1] :
( sK7(finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool)) = X0
| bot_bo1687970473a_bool = finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_278])]) ).
fof(f1188,plain,
( ! [X0,X1] :
( sK7(finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool)) = X0
| bot_bo1687970473a_bool = finite1734202118iple_a(X1,X0,bot_bo1687970473a_bool) )
| ~ spl50_49
| ~ spl50_76 ),
inference(resolution,[],[f1153,f1001]) ).
fof(f4055,plain,
( spl50_111
| ~ spl50_13
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f3901,f3890,f844,f1355]) ).
fof(f844,plain,
( spl50_13
<=> ! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_13])]) ).
fof(f3901,plain,
( hBOOL(fTrue)
| ~ spl50_13
| ~ spl50_272 ),
inference(superposition,[],[f845,f3891]) ).
fof(f845,plain,
( ! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool))
| ~ spl50_13 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f4022,plain,
( spl50_277
| ~ spl50_48
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1947,f1883,f996,f4020]) ).
fof(f4020,plain,
( spl50_277
<=> ! [X2,X0,X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_277])]) ).
fof(f1947,plain,
( ! [X2,X0,X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),X0))
| ~ spl50_48
| ~ spl50_162 ),
inference(superposition,[],[f997,f1884]) ).
fof(f4018,plain,
( spl50_276
| ~ spl50_21
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1797,f1647,f879,f4016]) ).
fof(f4016,plain,
( spl50_276
<=> ! [X0] : bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),bot_bo1687970473a_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_276])]) ).
fof(f879,plain,
( spl50_21
<=> ! [X0] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_21])]) ).
fof(f1797,plain,
( ! [X0] : bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),bot_bo1687970473a_bool)
| ~ spl50_21
| ~ spl50_153 ),
inference(resolution,[],[f1648,f880]) ).
fof(f880,plain,
( ! [X0] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ spl50_21 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f4014,plain,
( spl50_275
| ~ spl50_61
| ~ spl50_124 ),
inference(avatar_split_clause,[],[f1449,f1440,f1084,f4012]) ).
fof(f4012,plain,
( spl50_275
<=> ! [X0,X1] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,X0) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_275])]) ).
fof(f1440,plain,
( spl50_124
<=> ! [X0,X1] :
( X0 = X1
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_124])]) ).
fof(f1449,plain,
( ! [X0,X1] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,X0) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)
| X0 = X1 )
| ~ spl50_61
| ~ spl50_124 ),
inference(superposition,[],[f1441,f1085]) ).
fof(f1441,plain,
( ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)
| X0 = X1 )
| ~ spl50_124 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f4009,plain,
( spl50_274
| ~ spl50_75
| ~ spl50_123 ),
inference(avatar_split_clause,[],[f1448,f1436,f1148,f4007]) ).
fof(f1448,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK25(X0,X1),X0)) )
| ~ spl50_75
| ~ spl50_123 ),
inference(resolution,[],[f1437,f1149]) ).
fof(f4004,plain,
( spl50_273
| ~ spl50_75
| ~ spl50_122 ),
inference(avatar_split_clause,[],[f1447,f1432,f1148,f4002]) ).
fof(f4002,plain,
( spl50_273
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK24(X0,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_273])]) ).
fof(f1432,plain,
( spl50_122
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK24(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_122])]) ).
fof(f1447,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK24(X0,X1),X0)) )
| ~ spl50_75
| ~ spl50_122 ),
inference(resolution,[],[f1433,f1149]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK24(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) )
| ~ spl50_122 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f3960,plain,
( spl50_263
| ~ spl50_102
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f3880,f2859,f1486,f1416,f1298,f3592]) ).
fof(f1486,plain,
( spl50_134
<=> ! [X0] : bot_bot_bool = hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_134])]) ).
fof(f3880,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_102
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3879]) ).
fof(f3879,plain,
( ! [X0,X1] :
( fTrue = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2862,f3876]) ).
fof(f3876,plain,
( bot_bot_bool = fTrue
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3875]) ).
fof(f3875,plain,
( bot_bot_bool = fTrue
| bot_bot_bool = fTrue
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2958,f1417]) ).
fof(f2958,plain,
( bot_bot_bool = fFalse
| bot_bot_bool = fTrue
| ~ spl50_134
| ~ spl50_228 ),
inference(superposition,[],[f2860,f1487]) ).
fof(f1487,plain,
( ! [X0] : bot_bot_bool = hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),X0)
| ~ spl50_134 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f3892,plain,
( spl50_272
| ~ spl50_120
| ~ spl50_222 ),
inference(avatar_split_clause,[],[f3873,f2683,f1416,f3890]) ).
fof(f3873,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_120
| ~ spl50_222 ),
inference(duplicate_literal_removal,[],[f3872]) ).
fof(f3872,plain,
( ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_120
| ~ spl50_222 ),
inference(forward_demodulation,[],[f2684,f1417]) ).
fof(f3843,plain,
( spl50_111
| ~ spl50_28
| ~ spl50_263 ),
inference(avatar_split_clause,[],[f3717,f3592,f907,f1355]) ).
fof(f907,plain,
( spl50_28
<=> ! [X1] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_28])]) ).
fof(f3717,plain,
( hBOOL(fTrue)
| ~ spl50_28
| ~ spl50_263 ),
inference(superposition,[],[f908,f3593]) ).
fof(f908,plain,
( ! [X1] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X1))
| ~ spl50_28 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f3841,plain,
( spl50_271
| ~ spl50_90
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1374,f1332,f1249,f3839]) ).
fof(f3839,plain,
( spl50_271
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_271])]) ).
fof(f1374,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_110 ),
inference(superposition,[],[f1333,f1250]) ).
fof(f3836,plain,
( spl50_270
| ~ spl50_90
| ~ spl50_105 ),
inference(avatar_split_clause,[],[f1360,f1312,f1249,f3834]) ).
fof(f3834,plain,
( spl50_270
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK6(X0),X1))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_270])]) ).
fof(f1360,plain,
( ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,X1))
| ~ hBOOL(hAPP_H1927961489a_bool(sK6(X0),X1))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_105 ),
inference(superposition,[],[f1313,f1250]) ).
fof(f3831,plain,
( spl50_269
| ~ spl50_90
| ~ spl50_93 ),
inference(avatar_split_clause,[],[f1342,f1262,f1249,f3829]) ).
fof(f3829,plain,
( spl50_269
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_269])]) ).
fof(f1342,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_93 ),
inference(superposition,[],[f1263,f1250]) ).
fof(f3826,plain,
( spl50_268
| ~ spl50_26
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1039,f992,f899,f3824]) ).
fof(f3824,plain,
( spl50_268
<=> ! [X2,X0,X1] :
( hAPP_bool_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_bool_bool(X0,X1)),X2)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_268])]) ).
fof(f899,plain,
( spl50_26
<=> ! [X0,X1] :
( is_bool(hAPP_bool_bool(X0,X1))
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_26])]) ).
fof(f992,plain,
( spl50_47
<=> ! [X0,X1] :
( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0
| ~ is_bool(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_47])]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( hAPP_bool_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_bool_bool(X0,X1)),X2)
| ~ is_bool(X1) )
| ~ spl50_26
| ~ spl50_47 ),
inference(resolution,[],[f993,f900]) ).
fof(f900,plain,
( ! [X0,X1] :
( is_bool(hAPP_bool_bool(X0,X1))
| ~ is_bool(X1) )
| ~ spl50_26 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f993,plain,
( ! [X0,X1] :
( ~ is_bool(X0)
| hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0 )
| ~ spl50_47 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f3821,plain,
( spl50_267
| ~ spl50_26
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1030,f988,f899,f3819]) ).
fof(f3819,plain,
( spl50_267
<=> ! [X2,X0,X1] :
( hAPP_bool_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_bool_bool(X0,X1)),X2)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_267])]) ).
fof(f988,plain,
( spl50_46
<=> ! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_46])]) ).
fof(f1030,plain,
( ! [X2,X0,X1] :
( hAPP_bool_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_bool_bool(X0,X1)),X2)
| ~ is_bool(X1) )
| ~ spl50_26
| ~ spl50_46 ),
inference(resolution,[],[f989,f900]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 )
| ~ spl50_46 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f3788,plain,
( spl50_266
| ~ spl50_120
| ~ spl50_265 ),
inference(avatar_split_clause,[],[f3784,f3780,f1416,f3786]) ).
fof(f3784,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_120
| ~ spl50_265 ),
inference(duplicate_literal_removal,[],[f3783]) ).
fof(f3783,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_120
| ~ spl50_265 ),
inference(forward_demodulation,[],[f3781,f1417]) ).
fof(f3782,plain,
( spl50_265
| ~ spl50_26
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1021,f957,f899,f3780]) ).
fof(f957,plain,
( spl50_39
<=> ! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_39])]) ).
fof(f1021,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| fFalse = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_26
| ~ spl50_39 ),
inference(resolution,[],[f958,f900]) ).
fof(f958,plain,
( ! [X0] :
( ~ is_bool(X0)
| fTrue = X0
| fFalse = X0 )
| ~ spl50_39 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f3764,plain,
( spl50_111
| ~ spl50_48
| ~ spl50_262 ),
inference(avatar_split_clause,[],[f3639,f3588,f996,f1355]) ).
fof(f3588,plain,
( spl50_262
<=> ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_262])]) ).
fof(f3639,plain,
( hBOOL(fTrue)
| ~ spl50_48
| ~ spl50_262 ),
inference(superposition,[],[f997,f3589]) ).
fof(f3589,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_262 ),
inference(avatar_component_clause,[],[f3588]) ).
fof(f3598,plain,
( spl50_264
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(avatar_split_clause,[],[f3566,f2854,f1302,f1298,f3596]) ).
fof(f3596,plain,
( spl50_264
<=> ! [X0,X1] : finite1948426435iple_a(X0,X1) = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_264])]) ).
fof(f1302,plain,
( spl50_103
<=> bot_bot_bool = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_103])]) ).
fof(f2854,plain,
( spl50_227
<=> ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fFalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_227])]) ).
fof(f3566,plain,
( ! [X0,X1] : finite1948426435iple_a(X0,X1) = fTrue
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(duplicate_literal_removal,[],[f3565]) ).
fof(f3565,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(forward_demodulation,[],[f2857,f1304]) ).
fof(f1304,plain,
( bot_bot_bool = fTrue
| ~ spl50_103 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f2857,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = bot_bot_bool
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_227 ),
inference(forward_demodulation,[],[f2855,f1300]) ).
fof(f2855,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fFalse
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_227 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f3594,plain,
( spl50_263
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f3564,f2859,f1302,f1298,f3592]) ).
fof(f3564,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3563]) ).
fof(f3563,plain,
( ! [X0,X1] :
( fTrue = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2862,f1304]) ).
fof(f3590,plain,
( spl50_262
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(avatar_split_clause,[],[f3562,f2864,f1302,f1298,f3588]) ).
fof(f3562,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(duplicate_literal_removal,[],[f3561]) ).
fof(f3561,plain,
( ! [X0,X1] :
( fTrue = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2867,f1304]) ).
fof(f2867,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2865,f1300]) ).
fof(f3586,plain,
( spl50_261
| ~ spl50_103
| ~ spl50_245 ),
inference(avatar_split_clause,[],[f3560,f2942,f1302,f3584]) ).
fof(f2942,plain,
( spl50_245
<=> ! [X0,X1] :
( finite520909254iple_a(X0,X1) = bot_bot_bool
| finite520909254iple_a(X0,X1) = fTrue ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_245])]) ).
fof(f3560,plain,
( ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue
| ~ spl50_103
| ~ spl50_245 ),
inference(duplicate_literal_removal,[],[f3559]) ).
fof(f3559,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_103
| ~ spl50_245 ),
inference(forward_demodulation,[],[f2943,f1304]) ).
fof(f2943,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = bot_bot_bool
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_245 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f3558,plain,
( spl50_120
| ~ spl50_53
| ~ spl50_225 ),
inference(avatar_split_clause,[],[f3351,f2798,f1044,f1416]) ).
fof(f1044,plain,
( spl50_53
<=> ! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_53])]) ).
fof(f2798,plain,
( spl50_225
<=> ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_225])]) ).
fof(f3351,plain,
( fFalse = fTrue
| ~ spl50_53
| ~ spl50_225 ),
inference(superposition,[],[f2799,f1045]) ).
fof(f1045,plain,
( ! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_53 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f2799,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_225 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f3346,plain,
( spl50_260
| ~ spl50_6
| ~ spl50_63
| ~ spl50_67
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1788,f1639,f1116,f1100,f814,f3344]) ).
fof(f3344,plain,
( spl50_260
<=> ! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,bot_bo1687970473a_bool) = hAPP_f1826273671iple_a(X0,bot_bo1687970473a_bool)
| ~ hBOOL(finite520909254iple_a(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_260])]) ).
fof(f814,plain,
( spl50_6
<=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_6])]) ).
fof(f1100,plain,
( spl50_63
<=> ! [X0] : bot_bo1687970473a_bool = finite388748825iple_a(X0,bot_bo1687970473a_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_63])]) ).
fof(f1116,plain,
( spl50_67
<=> ! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),X1) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,finite388748825iple_a(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_67])]) ).
fof(f1788,plain,
( ! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,bot_bo1687970473a_bool) = hAPP_f1826273671iple_a(X0,bot_bo1687970473a_bool)
| ~ hBOOL(finite520909254iple_a(X1,X0)) )
| ~ spl50_6
| ~ spl50_63
| ~ spl50_67
| ~ spl50_151 ),
inference(forward_demodulation,[],[f1781,f1172]) ).
fof(f1172,plain,
( ! [X0] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),bot_bo1687970473a_bool) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,bot_bo1687970473a_bool)
| ~ spl50_63
| ~ spl50_67 ),
inference(superposition,[],[f1117,f1101]) ).
fof(f1101,plain,
( ! [X0] : bot_bo1687970473a_bool = finite388748825iple_a(X0,bot_bo1687970473a_bool)
| ~ spl50_63 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1117,plain,
( ! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),X1) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,finite388748825iple_a(X0,X1))
| ~ spl50_67 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1781,plain,
( ! [X0,X1] :
( hAPP_f1826273671iple_a(X0,bot_bo1687970473a_bool) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),bot_bo1687970473a_bool)
| ~ hBOOL(finite520909254iple_a(X1,X0)) )
| ~ spl50_6
| ~ spl50_151 ),
inference(resolution,[],[f1640,f816]) ).
fof(f816,plain,
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool))
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f3342,plain,
( spl50_259
| ~ spl50_90
| ~ spl50_127 ),
inference(avatar_split_clause,[],[f1532,f1458,f1249,f3340]) ).
fof(f3340,plain,
( spl50_259
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_259])]) ).
fof(f1458,plain,
( spl50_127
<=> ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_127])]) ).
fof(f1532,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_127 ),
inference(superposition,[],[f1459,f1250]) ).
fof(f1459,plain,
( ! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))
| ~ spl50_127 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f3338,plain,
( spl50_258
| ~ spl50_61
| ~ spl50_127 ),
inference(avatar_split_clause,[],[f1530,f1458,f1084,f3336]) ).
fof(f3336,plain,
( spl50_258
<=> ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_258])]) ).
fof(f1530,plain,
( ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))
| ~ spl50_61
| ~ spl50_127 ),
inference(superposition,[],[f1459,f1085]) ).
fof(f3334,plain,
( spl50_257
| ~ spl50_62
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1420,f1400,f1088,f3332]) ).
fof(f3332,plain,
( spl50_257
<=> ! [X0,X1] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_257])]) ).
fof(f1088,plain,
( spl50_62
<=> ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_62])]) ).
fof(f1420,plain,
( ! [X0,X1] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X0)
| ~ spl50_62
| ~ spl50_118 ),
inference(superposition,[],[f1401,f1089]) ).
fof(f1089,plain,
( ! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)
| ~ spl50_62 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f3330,plain,
( spl50_256
| ~ spl50_75
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1410,f1376,f1148,f3328]) ).
fof(f3328,plain,
( spl50_256
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_256])]) ).
fof(f1376,plain,
( spl50_112
<=> ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_112])]) ).
fof(f1410,plain,
( ! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
| ~ spl50_75
| ~ spl50_112 ),
inference(resolution,[],[f1377,f1149]) ).
fof(f1377,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1 )
| ~ spl50_112 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f3326,plain,
( spl50_255
| ~ spl50_66
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1409,f1376,f1112,f3324]) ).
fof(f3324,plain,
( spl50_255
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_255])]) ).
fof(f1409,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_112 ),
inference(resolution,[],[f1377,f1113]) ).
fof(f3322,plain,
( spl50_254
| ~ spl50_65
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1408,f1376,f1108,f3320]) ).
fof(f3320,plain,
( spl50_254
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_254])]) ).
fof(f1408,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_112 ),
inference(resolution,[],[f1377,f1109]) ).
fof(f3318,plain,
( spl50_253
| ~ spl50_64
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1407,f1376,f1104,f3316]) ).
fof(f3316,plain,
( spl50_253
<=> ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_253])]) ).
fof(f1407,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_112 ),
inference(resolution,[],[f1377,f1105]) ).
fof(f3313,plain,
( spl50_252
| ~ spl50_145
| ~ spl50_160 ),
inference(avatar_split_clause,[],[f2815,f1875,f1602,f3311]) ).
fof(f1875,plain,
( spl50_160
<=> ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_160])]) ).
fof(f2815,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,bot_bot_bool))
| ~ spl50_145
| ~ spl50_160 ),
inference(superposition,[],[f1876,f1603]) ).
fof(f1876,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)))
| ~ spl50_160 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f3309,plain,
( spl50_251
| ~ spl50_66
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1243,f1217,f1112,f3307]) ).
fof(f3307,plain,
( spl50_251
<=> ! [X0] :
( sK12(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_251])]) ).
fof(f1217,plain,
( spl50_86
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_86])]) ).
fof(f1243,plain,
( ! [X0] :
( sK12(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) )
| ~ spl50_66
| ~ spl50_86 ),
inference(resolution,[],[f1218,f1113]) ).
fof(f1218,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))
| X0 = X1 )
| ~ spl50_86 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f3305,plain,
( spl50_250
| ~ spl50_65
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1242,f1217,f1108,f3303]) ).
fof(f3303,plain,
( spl50_250
<=> ! [X0] :
( sK11(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_250])]) ).
fof(f1242,plain,
( ! [X0] :
( sK11(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) )
| ~ spl50_65
| ~ spl50_86 ),
inference(resolution,[],[f1218,f1109]) ).
fof(f3301,plain,
( spl50_249
| ~ spl50_64
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1241,f1217,f1104,f3299]) ).
fof(f3299,plain,
( spl50_249
<=> ! [X0] :
( sK3(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_249])]) ).
fof(f1241,plain,
( ! [X0] :
( sK3(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) )
| ~ spl50_64
| ~ spl50_86 ),
inference(resolution,[],[f1218,f1105]) ).
fof(f3297,plain,
( spl50_248
| ~ spl50_37
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1183,f1140,f948,f3295]) ).
fof(f3295,plain,
( spl50_248
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(sK17(hAPP_H1926610125l_bool(member564727580iple_a,X0)),X0))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_248])]) ).
fof(f1183,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(sK17(hAPP_H1926610125l_bool(member564727580iple_a,X0)),X0))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) )
| ~ spl50_37
| ~ spl50_73 ),
inference(resolution,[],[f1141,f949]) ).
fof(f3293,plain,
( spl50_247
| ~ spl50_50
| ~ spl50_59 ),
inference(avatar_split_clause,[],[f1094,f1076,f1004,f3291]) ).
fof(f3291,plain,
( spl50_247
<=> ! [X0] :
( sK8(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_247])]) ).
fof(f1094,plain,
( ! [X0] :
( sK8(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) )
| ~ spl50_50
| ~ spl50_59 ),
inference(resolution,[],[f1077,f1005]) ).
fof(f3289,plain,
( spl50_246
| ~ spl50_49
| ~ spl50_59 ),
inference(avatar_split_clause,[],[f1093,f1076,f1000,f3287]) ).
fof(f3287,plain,
( spl50_246
<=> ! [X0] :
( sK7(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_246])]) ).
fof(f1093,plain,
( ! [X0] :
( sK7(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| bot_bo1687970473a_bool = hAPP_H562195827a_bool(fequal1878252616iple_a,X0) )
| ~ spl50_49
| ~ spl50_59 ),
inference(resolution,[],[f1077,f1001]) ).
fof(f2944,plain,
( spl50_245
| ~ spl50_102
| ~ spl50_226 ),
inference(avatar_split_clause,[],[f2852,f2849,f1298,f2942]) ).
fof(f2849,plain,
( spl50_226
<=> ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fFalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_226])]) ).
fof(f2852,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = bot_bot_bool
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_226 ),
inference(forward_demodulation,[],[f2850,f1300]) ).
fof(f2850,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fFalse
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_226 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f2939,plain,
( spl50_244
| ~ spl50_6
| ~ spl50_76
| ~ spl50_125 ),
inference(avatar_split_clause,[],[f1452,f1444,f1152,f814,f2937]) ).
fof(f2937,plain,
( spl50_244
<=> ! [X0,X1] : sK27(X1,X0,bot_bo1687970473a_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_244])]) ).
fof(f1452,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool))
| sK27(X1,X0,bot_bo1687970473a_bool) = X0 )
| ~ spl50_76
| ~ spl50_125 ),
inference(resolution,[],[f1445,f1153]) ).
fof(f2924,plain,
( ~ spl50_6
| spl50_243
| ~ spl50_61
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1373,f1332,f1084,f2922,f814]) ).
fof(f2922,plain,
( spl50_243
<=> ! [X0] : hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_243])]) ).
fof(f1373,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)) )
| ~ spl50_61
| ~ spl50_110 ),
inference(superposition,[],[f1333,f1085]) ).
fof(f2920,plain,
( spl50_242
| ~ spl50_57
| ~ spl50_109 ),
inference(avatar_split_clause,[],[f1368,f1328,f1066,f2918]) ).
fof(f2918,plain,
( spl50_242
<=> ! [X0,X3,X2,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK15(X0) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_242])]) ).
fof(f1066,plain,
( spl50_57
<=> ! [X0] : hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_57])]) ).
fof(f1328,plain,
( spl50_109
<=> ! [X3,X4,X0,X5,X2,X1] :
( X2 = X5
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_109])]) ).
fof(f1368,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK15(X0) = X3 )
| ~ spl50_57
| ~ spl50_109 ),
inference(superposition,[],[f1329,f1067]) ).
fof(f1067,plain,
( ! [X0] : hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0
| ~ spl50_57 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1329,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2)
| X2 = X5 )
| ~ spl50_109 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f2916,plain,
( spl50_241
| ~ spl50_57
| ~ spl50_108 ),
inference(avatar_split_clause,[],[f1365,f1324,f1066,f2914]) ).
fof(f2914,plain,
( spl50_241
<=> ! [X0,X3,X2,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK14(X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_241])]) ).
fof(f1324,plain,
( spl50_108
<=> ! [X2,X3,X4,X0,X5,X1] :
( X1 = X4
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_108])]) ).
fof(f1365,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK14(X0) = X2 )
| ~ spl50_57
| ~ spl50_108 ),
inference(superposition,[],[f1325,f1067]) ).
fof(f1325,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2)
| X1 = X4 )
| ~ spl50_108 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f2912,plain,
( spl50_240
| ~ spl50_57
| ~ spl50_107 ),
inference(avatar_split_clause,[],[f1362,f1320,f1066,f2910]) ).
fof(f2910,plain,
( spl50_240
<=> ! [X0,X3,X2,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK13(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_240])]) ).
fof(f1320,plain,
( spl50_107
<=> ! [X5,X4,X0,X3,X2,X1] :
( X0 = X3
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_107])]) ).
fof(f1362,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK13(X0) = X1 )
| ~ spl50_57
| ~ spl50_107 ),
inference(superposition,[],[f1321,f1067]) ).
fof(f1321,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2)
| X0 = X3 )
| ~ spl50_107 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f2908,plain,
( spl50_239
| ~ spl50_68
| ~ spl50_90 ),
inference(avatar_split_clause,[],[f1335,f1249,f1120,f2906]) ).
fof(f2906,plain,
( spl50_239
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),X0))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_239])]) ).
fof(f1335,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_68
| ~ spl50_90 ),
inference(superposition,[],[f1121,f1250]) ).
fof(f2904,plain,
( spl50_238
| ~ spl50_37
| ~ spl50_60 ),
inference(avatar_split_clause,[],[f1096,f1080,f948,f2902]) ).
fof(f2902,plain,
( spl50_238
<=> ! [X0] :
( sK17(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) = X0
| ~ sP0(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_238])]) ).
fof(f1080,plain,
( spl50_60
<=> ! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_60])]) ).
fof(f1096,plain,
( ! [X0] :
( sK17(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) = X0
| ~ sP0(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) )
| ~ spl50_37
| ~ spl50_60 ),
inference(resolution,[],[f1081,f949]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1))
| X0 = X1 )
| ~ spl50_60 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f2900,plain,
( spl50_237
| ~ spl50_11
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1040,f992,f835,f2898]) ).
fof(f2898,plain,
( spl50_237
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_H1927961489a_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_237])]) ).
fof(f835,plain,
( spl50_11
<=> ! [X0,X1] : is_bool(hAPP_H1927961489a_bool(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_11])]) ).
fof(f1040,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_H1927961489a_bool(X0,X1)),X2)
| ~ spl50_11
| ~ spl50_47 ),
inference(resolution,[],[f993,f836]) ).
fof(f836,plain,
( ! [X0,X1] : is_bool(hAPP_H1927961489a_bool(X0,X1))
| ~ spl50_11 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f2896,plain,
( spl50_236
| ~ spl50_10
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1038,f992,f831,f2894]) ).
fof(f2894,plain,
( spl50_236
<=> ! [X2,X0,X1] : hAPP_state_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_state_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_236])]) ).
fof(f831,plain,
( spl50_10
<=> ! [X0,X1] : is_bool(hAPP_state_bool(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_10])]) ).
fof(f1038,plain,
( ! [X2,X0,X1] : hAPP_state_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_state_bool(X0,X1)),X2)
| ~ spl50_10
| ~ spl50_47 ),
inference(resolution,[],[f993,f832]) ).
fof(f832,plain,
( ! [X0,X1] : is_bool(hAPP_state_bool(X0,X1))
| ~ spl50_10 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f2892,plain,
( spl50_235
| ~ spl50_8
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1034,f992,f823,f2890]) ).
fof(f2890,plain,
( spl50_235
<=> ! [X2,X0,X1] : finite1948426435iple_a(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(finite1948426435iple_a(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_235])]) ).
fof(f823,plain,
( spl50_8
<=> ! [X0,X1] : is_bool(finite1948426435iple_a(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_8])]) ).
fof(f1034,plain,
( ! [X2,X0,X1] : finite1948426435iple_a(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(finite1948426435iple_a(X0,X1)),X2)
| ~ spl50_8
| ~ spl50_47 ),
inference(resolution,[],[f993,f824]) ).
fof(f824,plain,
( ! [X0,X1] : is_bool(finite1948426435iple_a(X0,X1))
| ~ spl50_8 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f2888,plain,
( spl50_234
| ~ spl50_9
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1033,f992,f827,f2886]) ).
fof(f2886,plain,
( spl50_234
<=> ! [X2,X0,X1] : finite520909254iple_a(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(finite520909254iple_a(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_234])]) ).
fof(f827,plain,
( spl50_9
<=> ! [X0,X1] : is_bool(finite520909254iple_a(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_9])]) ).
fof(f1033,plain,
( ! [X2,X0,X1] : finite520909254iple_a(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(finite520909254iple_a(X0,X1)),X2)
| ~ spl50_9
| ~ spl50_47 ),
inference(resolution,[],[f993,f828]) ).
fof(f828,plain,
( ! [X0,X1] : is_bool(finite520909254iple_a(X0,X1))
| ~ spl50_9 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f2884,plain,
( spl50_233
| ~ spl50_11
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1031,f988,f835,f2882]) ).
fof(f2882,plain,
( spl50_233
<=> ! [X2,X0,X1] : hAPP_H1927961489a_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_H1927961489a_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_233])]) ).
fof(f1031,plain,
( ! [X2,X0,X1] : hAPP_H1927961489a_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_H1927961489a_bool(X0,X1)),X2)
| ~ spl50_11
| ~ spl50_46 ),
inference(resolution,[],[f989,f836]) ).
fof(f2880,plain,
( spl50_232
| ~ spl50_10
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1029,f988,f831,f2878]) ).
fof(f2878,plain,
( spl50_232
<=> ! [X2,X0,X1] : hAPP_state_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_state_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_232])]) ).
fof(f1029,plain,
( ! [X2,X0,X1] : hAPP_state_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_state_bool(X0,X1)),X2)
| ~ spl50_10
| ~ spl50_46 ),
inference(resolution,[],[f989,f832]) ).
fof(f2875,plain,
( spl50_231
| ~ spl50_8
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1025,f988,f823,f2873]) ).
fof(f1025,plain,
( ! [X2,X0,X1] : finite1948426435iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite1948426435iple_a(X0,X1)),X2)
| ~ spl50_8
| ~ spl50_46 ),
inference(resolution,[],[f989,f824]) ).
fof(f2871,plain,
( spl50_230
| ~ spl50_9
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1024,f988,f827,f2869]) ).
fof(f1024,plain,
( ! [X2,X0,X1] : finite520909254iple_a(X0,X1) = hAPP_state_bool(cOMBK_bool_state(finite520909254iple_a(X0,X1)),X2)
| ~ spl50_9
| ~ spl50_46 ),
inference(resolution,[],[f989,f828]) ).
fof(f2866,plain,
( spl50_229
| ~ spl50_11
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1022,f957,f835,f2864]) ).
fof(f1022,plain,
( ! [X0,X1] :
( fTrue = hAPP_H1927961489a_bool(X0,X1)
| fFalse = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_11
| ~ spl50_39 ),
inference(resolution,[],[f958,f836]) ).
fof(f2861,plain,
( spl50_228
| ~ spl50_10
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1020,f957,f831,f2859]) ).
fof(f1020,plain,
( ! [X0,X1] :
( fTrue = hAPP_state_bool(X0,X1)
| fFalse = hAPP_state_bool(X0,X1) )
| ~ spl50_10
| ~ spl50_39 ),
inference(resolution,[],[f958,f832]) ).
fof(f2856,plain,
( spl50_227
| ~ spl50_8
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1016,f957,f823,f2854]) ).
fof(f1016,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fFalse )
| ~ spl50_8
| ~ spl50_39 ),
inference(resolution,[],[f958,f824]) ).
fof(f2851,plain,
( spl50_226
| ~ spl50_9
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1015,f957,f827,f2849]) ).
fof(f1015,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fFalse )
| ~ spl50_9
| ~ spl50_39 ),
inference(resolution,[],[f958,f828]) ).
fof(f2800,plain,
( spl50_225
| ~ spl50_150
| ~ spl50_216 ),
inference(avatar_split_clause,[],[f2674,f2569,f1635,f2798]) ).
fof(f1635,plain,
( spl50_150
<=> ! [X0] : fTrue = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fTrue),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_150])]) ).
fof(f2569,plain,
( spl50_216
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_216])]) ).
fof(f2674,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_150
| ~ spl50_216 ),
inference(superposition,[],[f1636,f2571]) ).
fof(f2571,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue)
| ~ spl50_216 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f1636,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fTrue),X0)
| ~ spl50_150 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f2693,plain,
( spl50_224
| ~ spl50_5
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1041,f992,f810,f2691]) ).
fof(f2691,plain,
( spl50_224
<=> ! [X2,X0,X1] : hAPP_f1753944735l_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_f1753944735l_bool(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_224])]) ).
fof(f810,plain,
( spl50_5
<=> ! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_5])]) ).
fof(f1041,plain,
( ! [X2,X0,X1] : hAPP_f1753944735l_bool(X0,X1) = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_f1753944735l_bool(X0,X1)),X2)
| ~ spl50_5
| ~ spl50_47 ),
inference(resolution,[],[f993,f811]) ).
fof(f811,plain,
( ! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1))
| ~ spl50_5 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f2689,plain,
( spl50_223
| ~ spl50_5
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1032,f988,f810,f2687]) ).
fof(f1032,plain,
( ! [X2,X0,X1] : hAPP_f1753944735l_bool(X0,X1) = hAPP_state_bool(cOMBK_bool_state(hAPP_f1753944735l_bool(X0,X1)),X2)
| ~ spl50_5
| ~ spl50_46 ),
inference(resolution,[],[f989,f811]) ).
fof(f2685,plain,
( spl50_222
| ~ spl50_5
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1023,f957,f810,f2683]) ).
fof(f1023,plain,
( ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fFalse = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_5
| ~ spl50_39 ),
inference(resolution,[],[f958,f811]) ).
fof(f2679,plain,
( spl50_221
| ~ spl50_75
| ~ spl50_80 ),
inference(avatar_split_clause,[],[f1228,f1193,f1148,f2677]) ).
fof(f2677,plain,
( spl50_221
<=> ! [X0] :
( bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_H1927961489a_bool(sK6(X0),sK5(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_221])]) ).
fof(f1193,plain,
( spl50_80
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),sK6(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_80])]) ).
fof(f1228,plain,
( ! [X0] :
( bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_H1927961489a_bool(sK6(X0),sK5(X0))) )
| ~ spl50_75
| ~ spl50_80 ),
inference(resolution,[],[f1194,f1149]) ).
fof(f1194,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),sK6(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_80 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f2588,plain,
( spl50_220
| ~ spl50_76
| ~ spl50_106 ),
inference(avatar_split_clause,[],[f1361,f1316,f1152,f2586]) ).
fof(f2586,plain,
( spl50_220
<=> ! [X2,X0,X1] :
( ~ sP1(X0,X1,X2,bot_bo1687970473a_bool)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_220])]) ).
fof(f1316,plain,
( spl50_106
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ~ sP1(X1,X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_106])]) ).
fof(f1361,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,X1,X2,bot_bo1687970473a_bool)
| X0 = X2 )
| ~ spl50_76
| ~ spl50_106 ),
inference(resolution,[],[f1317,f1153]) ).
fof(f1317,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ~ sP1(X1,X0,X3,X2) )
| ~ spl50_106 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f2584,plain,
( spl50_219
| ~ spl50_52
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1350,f1308,f1012,f2582]) ).
fof(f2582,plain,
( spl50_219
<=> ! [X0,X1] : sK32(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_219])]) ).
fof(f1350,plain,
( ! [X0,X1] : sK32(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1) = X1
| ~ spl50_52
| ~ spl50_104 ),
inference(resolution,[],[f1309,f1013]) ).
fof(f2580,plain,
( spl50_218
| ~ spl50_48
| ~ spl50_90 ),
inference(avatar_split_clause,[],[f1336,f1249,f996,f2578]) ).
fof(f2578,plain,
( spl50_218
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_218])]) ).
fof(f1336,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_48
| ~ spl50_90 ),
inference(superposition,[],[f997,f1250]) ).
fof(f2576,plain,
( spl50_217
| ~ spl50_72
| ~ spl50_75 ),
inference(avatar_split_clause,[],[f1185,f1148,f1136,f2574]) ).
fof(f2574,plain,
( spl50_217
<=> ! [X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(sK17(X0),sK16(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_217])]) ).
fof(f1136,plain,
( spl50_72
<=> ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_72])]) ).
fof(f1185,plain,
( ! [X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(sK17(X0),sK16(X0)))
| ~ sP0(X0) )
| ~ spl50_72
| ~ spl50_75 ),
inference(resolution,[],[f1149,f1137]) ).
fof(f1137,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_72 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f2572,plain,
( spl50_216
| spl50_111
| ~ spl50_49
| ~ spl50_150 ),
inference(avatar_split_clause,[],[f2066,f1635,f1000,f1355,f2569]) ).
fof(f2066,plain,
( hBOOL(fTrue)
| bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue)
| ~ spl50_49
| ~ spl50_150 ),
inference(superposition,[],[f1001,f1636]) ).
fof(f2567,plain,
( spl50_215
| ~ spl50_66
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1181,f1140,f1112,f2565]) ).
fof(f2565,plain,
( spl50_215
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK12(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_215])]) ).
fof(f1181,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK12(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_73 ),
inference(resolution,[],[f1141,f1113]) ).
fof(f2563,plain,
( spl50_214
| ~ spl50_65
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1180,f1140,f1108,f2561]) ).
fof(f2561,plain,
( spl50_214
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK11(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_214])]) ).
fof(f1180,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK11(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_73 ),
inference(resolution,[],[f1141,f1109]) ).
fof(f2559,plain,
( spl50_213
| ~ spl50_64
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1179,f1140,f1104,f2557]) ).
fof(f2557,plain,
( spl50_213
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK3(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_213])]) ).
fof(f1179,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK3(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_73 ),
inference(resolution,[],[f1141,f1105]) ).
fof(f2555,plain,
( spl50_212
| ~ spl50_61
| ~ spl50_68 ),
inference(avatar_split_clause,[],[f1170,f1120,f1084,f2553]) ).
fof(f2553,plain,
( spl50_212
<=> ! [X0] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_212])]) ).
fof(f1170,plain,
( ! [X0] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| ~ spl50_61
| ~ spl50_68 ),
inference(superposition,[],[f1121,f1085]) ).
fof(f2548,plain,
( ~ spl50_210
| ~ spl50_211
| ~ spl50_92
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1372,f1332,f1258,f2545,f2541]) ).
fof(f2541,plain,
( spl50_210
<=> sP0(finite506133020iple_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_210])]) ).
fof(f1372,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a)))
| ~ sP0(finite506133020iple_a)
| ~ spl50_92
| ~ spl50_110 ),
inference(resolution,[],[f1333,f1259]) ).
fof(f2528,plain,
spl50_209,
inference(avatar_split_clause,[],[f763,f2526]) ).
fof(f2526,plain,
( spl50_209
<=> ! [X3,X9,X7,X0,X6,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X6,X2,X7))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_209])]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X6,X9,X7] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X6,X2,X7))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ),
inference(forward_demodulation,[],[f762,f712]) ).
fof(f712,plain,
! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool),
inference(forward_demodulation,[],[f474,f467]) ).
fof(f467,plain,
! [X0] : collec1266446174iple_a(X0) = X0,
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] : collec1266446174iple_a(X0) = X0,
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X12] : collec1266446174iple_a(X12) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f474,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X22] : collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X22)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f762,plain,
! [X2,X3,X0,X1,X6,X9,X7] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f642,f712]) ).
fof(f642,plain,
! [X2,X3,X0,X1,X6,X9,X7] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool)))
| ( ! [X6,X7] :
( ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39])],[f340,f436,f435]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ! [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5)) ) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) )
=> ( ! [X7,X6] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3))) ) ),
introduced(choice_axiom,[]) ).
fof(f436,plain,
! [X0,X1,X2,X3,X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool)))
| ? [X4,X5] :
( ! [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5)) ) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> ? [X6,X7] :
( ! [X8] :
( ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8)) )
& hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) ) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool))) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X14,X2,X13,X12] :
( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
=> ? [X44,X45] :
( ! [X20] :
( ! [X21] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X44,X21),X17))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X45,X21),X20)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X16),X20)) )
& hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X44,X13,X45)),bot_bo1687970473a_bool))) ) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2498,plain,
spl50_208,
inference(avatar_split_clause,[],[f786,f2496]) ).
fof(f2496,plain,
( spl50_208
<=> ! [X3,X4,X9,X0,X5,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_208])]) ).
fof(f786,plain,
! [X2,X3,X0,X1,X9,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) ),
inference(forward_demodulation,[],[f785,f712]) ).
fof(f785,plain,
! [X2,X3,X0,X1,X9,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f673,f712]) ).
fof(f673,plain,
! [X2,X3,X0,X1,X9,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5))) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49])],[f351,f455,f454]) ).
fof(f454,plain,
! [X0,X1,X3,X5] :
( ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
=> ( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5))) ) ),
introduced(choice_axiom,[]) ).
fof(f455,plain,
! [X0,X1,X3,X5] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) ) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK48(X0,X1,X3,X5))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(flattening,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool)))
=> ( ! [X6,X7] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7))
=> ! [X8] :
( ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8)) ) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool))) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14,X12,X2,X19,X13,X18] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X19,X13,X18)),bot_bo1687970473a_bool)))
=> ( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
=> ! [X20] :
( ! [X21] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X19,X21),X17))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X18,X21),X20)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X16),X20)) ) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2491,plain,
spl50_207,
inference(avatar_split_clause,[],[f753,f2489]) ).
fof(f2489,plain,
( spl50_207
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK28(X1)),sK29(X1))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK28(X1)),hAPP_H562195827a_bool(fequal1878252616iple_a,sK29(X1)))))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_207])]) ).
fof(f753,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK28(X1)),sK29(X1))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK28(X1)),hAPP_H562195827a_bool(fequal1878252616iple_a,sK29(X1)))))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(forward_demodulation,[],[f608,f712]) ).
fof(f608,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK28(X1)),sK29(X1))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK28(X1)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK29(X1)),bot_bo1687970473a_bool))))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK28(X1)),sK29(X1))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK28(X1)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK29(X1)),bot_bo1687970473a_bool))))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f316,f419]) ).
fof(f419,plain,
! [X1] :
( ? [X3,X4] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X3),X4)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),bot_bo1687970473a_bool))))
=> ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK28(X1)),sK29(X1))),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK28(X1)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK29(X1)),bot_bo1687970473a_bool)))) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| ? [X3,X4] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X3),X4)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),bot_bo1687970473a_bool))))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(flattening,[],[f315]) ).
fof(f315,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0))
| ? [X3,X4] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X3),X4)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),bot_bo1687970473a_bool))))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(ennf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2] :
( hBOOL(finite520909254iple_a(X1,X2))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
=> ( bot_bo1687970473a_bool != X0
=> ( ! [X3,X4] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X3),X4)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),bot_bo1687970473a_bool))))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X2,X0)),X0)) ) ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X24,X46,X47] :
( hBOOL(finite520909254iple_a(X46,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ( bot_bo1687970473a_bool != X24
=> ( ! [X26,X43] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X26),X43)),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X43),bot_bo1687970473a_bool))))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,hAPP_f1826273671iple_a(X47,X24)),X24)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2479,plain,
spl50_206,
inference(avatar_split_clause,[],[f761,f2477]) ).
fof(f2477,plain,
( spl50_206
<=> ! [X3,X7,X0,X6,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X6,X2,X7))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_206])]) ).
fof(f761,plain,
! [X2,X3,X0,X1,X6,X7] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X6,X2,X7))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7))) ),
inference(forward_demodulation,[],[f760,f712]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X6,X7] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f643,f712]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X6,X7] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X6,X2,X7)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f437]) ).
fof(f2475,plain,
spl50_205,
inference(avatar_split_clause,[],[f758,f2473]) ).
fof(f2473,plain,
( spl50_205
<=> ! [X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3)))))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_205])]) ).
fof(f758,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3)))))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2)))) ),
inference(forward_demodulation,[],[f757,f712]) ).
fof(f757,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3))))),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f640,f712]) ).
fof(f640,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3))))),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3))))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f339,f433]) ).
fof(f433,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK36(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK35(X0,X1,X2,X3))))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3))) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X13,X14,X12] :
( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X17)),X13,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X14,X16)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2459,plain,
spl50_204,
inference(avatar_split_clause,[],[f788,f2457]) ).
fof(f2457,plain,
( spl50_204
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_204])]) ).
fof(f788,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5))) ),
inference(forward_demodulation,[],[f787,f712]) ).
fof(f787,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f672,f712]) ).
fof(f672,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK47(X0,X1,X3,X5)),sK48(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f456]) ).
fof(f2455,plain,
spl50_203,
inference(avatar_split_clause,[],[f784,f2453]) ).
fof(f2453,plain,
( spl50_203
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_203])]) ).
fof(f784,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5))) ),
inference(forward_demodulation,[],[f783,f712]) ).
fof(f783,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X4,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f674,f712]) ).
fof(f674,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X4,X0)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK47(X0,X1,X3,X5)),sK49(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f456]) ).
fof(f2437,plain,
spl50_202,
inference(avatar_split_clause,[],[f782,f2435]) ).
fof(f2435,plain,
( spl50_202
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X5,X0,X1))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_202])]) ).
fof(f782,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X4,X5))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X5,X0,X1))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)))) ),
inference(forward_demodulation,[],[f781,f712]) ).
fof(f781,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X5,X0,X1))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f780,f712]) ).
fof(f780,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X5,X0,X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f671,f712]) ).
fof(f671,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X5,X0,X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X5,X0,X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(flattening,[],[f348]) ).
fof(f348,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X5,X0,X1)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X4,X5)),bot_bo1687970473a_bool)))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X5,X0,X1)),bot_bo1687970473a_bool)))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,semi(X4,X0),X1)),bot_bo1687970473a_bool))) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X30,X31,X2,X12,X13,X14] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool)))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X14,X30,X31)),bot_bo1687970473a_bool)))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,semi(X13,X30),X31)),bot_bo1687970473a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2433,plain,
spl50_201,
inference(avatar_split_clause,[],[f634,f2431]) ).
fof(f2431,plain,
( spl50_201
<=> ! [X0,X3,X2,X1] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite520909254iple_a(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_201])]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite520909254iple_a(X2,X3)) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite520909254iple_a(X2,X3)) ),
inference(flattening,[],[f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite520909254iple_a(X2,X3)) ),
inference(ennf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0,X1,X2,X3] :
( hBOOL(finite520909254iple_a(X2,X3))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
=> ( bot_bo1687970473a_bool != X1
=> hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1)) ) ) ) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X27,X24,X46,X47] :
( hBOOL(finite520909254iple_a(X46,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
=> ( bot_bo1687970473a_bool != X24
=> hAPP_f1826273671iple_a(X47,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X27),hAPP_f1826273671iple_a(X47,X24)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2418,plain,
spl50_200,
inference(avatar_split_clause,[],[f778,f2416]) ).
fof(f2416,plain,
( spl50_200
<=> ! [X4,X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X2,X3))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_200])]) ).
fof(f778,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X2,X3))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)))) ),
inference(forward_demodulation,[],[f777,f712]) ).
fof(f777,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X2,X3)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f670,f712]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X2,X3)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X2,X3)),bot_bo1687970473a_bool)))
& hBOOL(X4) ) ),
inference(ennf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(X4)
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X2,X3)),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1687970473a_bool))) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X12,X13,X14,X15] :
( ( hBOOL(X15)
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X12))),X15),X13,X14)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2406,plain,
( spl50_199
| ~ spl50_144
| ~ spl50_154 ),
inference(avatar_split_clause,[],[f2132,f1814,f1527,f2404]) ).
fof(f2404,plain,
( spl50_199
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_199])]) ).
fof(f1527,plain,
( spl50_144
<=> ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_144])]) ).
fof(f2132,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fTrue))
| ~ spl50_144
| ~ spl50_154 ),
inference(superposition,[],[f1815,f1528]) ).
fof(f1528,plain,
( ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0)
| ~ spl50_144 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f2281,plain,
spl50_198,
inference(avatar_split_clause,[],[f776,f2279]) ).
fof(f776,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4))) ),
inference(forward_demodulation,[],[f775,f712]) ).
fof(f775,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f667,f712]) ).
fof(f667,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4))) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f346,f452]) ).
fof(f452,plain,
! [X0,X4] :
( ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,X5),X6)) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK45(X0,X4)),sK46(X0,X4))) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool)))
| ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,X5),X6)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(flattening,[],[f345]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool)))
| ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,X5),X6)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool)))
=> ( ! [X5,X6] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,X5),X6))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool))) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X14,X2,X12,X13,X18] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X18)),bot_bo1687970473a_bool)))
=> ( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X18,X16),X17))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X16),X17)) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2277,plain,
spl50_197,
inference(avatar_split_clause,[],[f774,f2275]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4))) ),
inference(forward_demodulation,[],[f773,f712]) ).
fof(f773,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X0))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f668,f712]) ).
fof(f668,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X0)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK45(X0,X4)),sK46(X0,X4)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f453]) ).
fof(f2273,plain,
spl50_196,
inference(avatar_split_clause,[],[f772,f2271]) ).
fof(f772,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2))) ),
inference(forward_demodulation,[],[f771,f712]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f665,f712]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2))) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f344,f450]) ).
fof(f450,plain,
! [X0,X2] :
( ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK43(X0,X2)),sK44(X0,X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool)))
| ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(flattening,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool)))
| ? [X5,X6] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool)))
=> ( ! [X5,X6] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool))) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X12,X2,X19,X13,X14] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X19,X13,X14)),bot_bo1687970473a_bool)))
=> ( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X19,X16),X17)) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2269,plain,
spl50_195,
inference(avatar_split_clause,[],[f770,f2267]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X2,X3,X4))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2))) ),
inference(forward_demodulation,[],[f769,f712]) ).
fof(f769,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X3,X4))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(forward_demodulation,[],[f666,f712]) ).
fof(f666,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X3,X4)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK43(X0,X2)),sK44(X0,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f451]) ).
fof(f2265,plain,
spl50_194,
inference(avatar_split_clause,[],[f750,f2263]) ).
fof(f2263,plain,
( spl50_194
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X0
| ~ hBOOL(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_194])]) ).
fof(f750,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X0
| ~ hBOOL(X2) ),
inference(forward_demodulation,[],[f749,f714]) ).
fof(f714,plain,
! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0),
inference(forward_demodulation,[],[f713,f712]) ).
fof(f713,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0),
inference(forward_demodulation,[],[f475,f467]) ).
fof(f475,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X22] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f749,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X0
| ~ hBOOL(X2) ),
inference(forward_demodulation,[],[f601,f714]) ).
fof(f601,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X0
| ~ hBOOL(X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2] :
( ( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X1
| hBOOL(X2) )
& ( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X0
| ~ hBOOL(X2) ) ),
inference(ennf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ( ~ hBOOL(X2)
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X1 )
& ( hBOOL(X2)
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X0 ) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X27,X28,X12] :
( ( ~ hBOOL(X12)
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X12)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X27)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X12))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X28)))) = X28 )
& ( hBOOL(X12)
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X12)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X27)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X12))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X28)))) = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2261,plain,
spl50_193,
inference(avatar_split_clause,[],[f748,f2259]) ).
fof(f748,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| hBOOL(X2) ),
inference(forward_demodulation,[],[f747,f714]) ).
fof(f747,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))) = X1
| hBOOL(X2) ),
inference(forward_demodulation,[],[f602,f714]) ).
fof(f602,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,X2)),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(hAPP_b589554111l_bool(fimplies,hAPP_bool_bool(fNot,X2))),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X1)))) = X1
| hBOOL(X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f2234,plain,
spl50_192,
inference(avatar_split_clause,[],[f636,f2232]) ).
fof(f2232,plain,
( spl50_192
<=> ! [X0,X3,X2,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_192])]) ).
fof(f636,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)),X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)) )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f338,f431]) ).
fof(f431,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X4,X5),X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)),X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X4,X5),X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(flattening,[],[f337]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X4,X5),X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(ennf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3))
=> ~ ! [X4,X5] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5)
=> ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X4,X5),X3))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5)) ) ) ),
inference(rectify,[],[f94]) ).
fof(f94,axiom,
! [X46,X22,X38,X27] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X46,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X38)),X27))
=> ~ ! [X50,X51] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X38) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X50),X51)
=> ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X50,X51),X27))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X50),X51)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2221,plain,
spl50_191,
inference(avatar_split_clause,[],[f664,f2219]) ).
fof(f2219,plain,
( spl50_191
<=> ! [X4,X0,X3,X2,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X3),X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X4),X2))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_191])]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X3),X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X4),X2))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4)) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X3),X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X4),X2))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4)) ),
inference(flattening,[],[f341]) ).
fof(f341,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X3),X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X4),X2))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4)) ),
inference(ennf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
=> ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X4),X2))
=> hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X3),X2))) ) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X46,X48,X28,X27,X24] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
=> ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,X24),X28))
=> hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24)),hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X27),X28))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2190,plain,
spl50_190,
inference(avatar_split_clause,[],[f701,f2188]) ).
fof(f2188,plain,
( spl50_190
<=> ! [X5,X4,X0,X6,X1] :
( sP1(X0,X1,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_190])]) ).
fof(f701,plain,
! [X0,X1,X6,X4,X5] :
( sP1(X0,X1,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5)) ),
inference(equality_resolution,[],[f700]) ).
fof(f700,plain,
! [X3,X0,X1,X6,X4,X5] :
( sP1(X0,X1,hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6),X3)
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) != X3 ),
inference(equality_resolution,[],[f651]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(X0,X1,X2,X3)
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
| hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6) != X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) != X3 ),
inference(cnf_transformation,[],[f443]) ).
fof(f443,plain,
! [X0,X1,X2,X3] :
( ( sP1(X0,X1,X2,X3)
| ! [X4,X5,X6] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
| hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6) != X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) != X3 ) )
& ( ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,sK41(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK40(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)) = X3 )
| ~ sP1(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42])],[f441,f442]) ).
fof(f442,plain,
! [X0,X1,X2,X3] :
( ? [X7,X8,X9] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X8),X9))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X7),X8))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X7),X9) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X7),X8) = X3 )
=> ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,sK41(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK40(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f441,plain,
! [X0,X1,X2,X3] :
( ( sP1(X0,X1,X2,X3)
| ! [X4,X5,X6] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
| hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X4),X6) != X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) != X3 ) )
& ( ? [X7,X8,X9] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,X8),X9))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X7),X8))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X7),X9) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X7),X8) = X3 )
| ~ sP1(X0,X1,X2,X3) ) ),
inference(rectify,[],[f440]) ).
fof(f440,plain,
! [X1,X0,X3,X2] :
( ( sP1(X1,X0,X3,X2)
| ! [X4,X5,X6] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X5),X6))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
| hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X4),X6) != X3
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) != X2 ) )
& ( ? [X4,X5,X6] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X5),X6))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X4),X6) = X3
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) = X2 )
| ~ sP1(X1,X0,X3,X2) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X1,X0,X3,X2] :
( sP1(X1,X0,X3,X2)
<=> ? [X4,X5,X6] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X5),X6))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X4),X6) = X3
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) = X2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2186,plain,
spl50_189,
inference(avatar_split_clause,[],[f632,f2184]) ).
fof(f2184,plain,
( spl50_189
<=> ! [X0,X3,X2,X1] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_189])]) ).
fof(f632,plain,
! [X2,X3,X0,X1] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(ennf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1,X2,X3] :
( hBOOL(finite1948426435iple_a(X2,X3))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( bot_bo1687970473a_bool != X1
=> hAPP_f1826273671iple_a(X3,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1)) ) ) ),
inference(rectify,[],[f101]) ).
fof(f101,axiom,
! [X27,X24,X46,X47] :
( hBOOL(finite1948426435iple_a(X46,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ( bot_bo1687970473a_bool != X24
=> hAPP_f1826273671iple_a(X47,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24)) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X27),hAPP_f1826273671iple_a(X47,X24)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2182,plain,
spl50_188,
inference(avatar_split_clause,[],[f610,f2180]) ).
fof(f2180,plain,
( spl50_188
<=> ! [X2,X0,X1] :
( X0 = X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_188])]) ).
fof(f610,plain,
! [X2,X0,X1] :
( X0 = X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(cnf_transformation,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ( ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
| X0 != X2 )
& ( X0 = X2
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0) ) )
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(nnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2] :
( ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
<=> X0 = X2 )
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(flattening,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2] :
( ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
<=> X0 = X2 )
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(ennf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
=> ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X0)
<=> X0 = X2 ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X25,X27,X24] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X25))
=> ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X25)
<=> X24 = X25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2178,plain,
( spl50_187
| ~ spl50_89
| ~ spl50_154 ),
inference(avatar_split_clause,[],[f2131,f1814,f1230,f2176]) ).
fof(f2131,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse))
| ~ spl50_89
| ~ spl50_154 ),
inference(superposition,[],[f1815,f1231]) ).
fof(f2163,plain,
spl50_186,
inference(avatar_split_clause,[],[f637,f2161]) ).
fof(f2161,plain,
( spl50_186
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)),X3))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_186])]) ).
fof(f637,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)),X3))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(cnf_transformation,[],[f432]) ).
fof(f2159,plain,
spl50_185,
inference(avatar_split_clause,[],[f633,f2157]) ).
fof(f2157,plain,
( spl50_185
<=> ! [X0,X3,X2,X1] :
( hAPP_f1826273671iple_a(X3,X1) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_185])]) ).
fof(f633,plain,
! [X2,X3,X0,X1] :
( hAPP_f1826273671iple_a(X3,X1) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,X1) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0,X1,X2,X3] :
( hAPP_f1826273671iple_a(X3,X1) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(finite1948426435iple_a(X2,X3)) ),
inference(ennf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( hBOOL(finite1948426435iple_a(X2,X3))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
=> hAPP_f1826273671iple_a(X3,X1) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X2,X0),hAPP_f1826273671iple_a(X3,X1)) ) ) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X27,X24,X46,X47] :
( hBOOL(finite1948426435iple_a(X46,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
=> hAPP_f1826273671iple_a(X47,X24) = hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X27),hAPP_f1826273671iple_a(X47,X24)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2148,plain,
spl50_184,
inference(avatar_split_clause,[],[f764,f2146]) ).
fof(f764,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X2,X0))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3))) ),
inference(forward_demodulation,[],[f641,f712]) ).
fof(f641,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X2,X0)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3))) ),
inference(cnf_transformation,[],[f437]) ).
fof(f2144,plain,
spl50_183,
inference(avatar_split_clause,[],[f759,f2142]) ).
fof(f759,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3))) ),
inference(forward_demodulation,[],[f639,f712]) ).
fof(f639,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK35(X0,X1,X2,X3)),sK36(X0,X1,X2,X3))) ),
inference(cnf_transformation,[],[f434]) ).
fof(f2140,plain,
spl50_182,
inference(avatar_split_clause,[],[f638,f2138]) ).
fof(f2138,plain,
( spl50_182
<=> ! [X0,X3,X2,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_182])]) ).
fof(f638,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)),X3)) ),
inference(cnf_transformation,[],[f432]) ).
fof(f2115,plain,
spl50_181,
inference(avatar_split_clause,[],[f779,f2113]) ).
fof(f2113,plain,
( spl50_181
<=> ! [X4,X0,X3,X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3))))
| hBOOL(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_181])]) ).
fof(f779,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3))))
| hBOOL(X4) ),
inference(forward_demodulation,[],[f669,f712]) ).
fof(f669,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1687970473a_bool)))
| hBOOL(X4) ),
inference(cnf_transformation,[],[f347]) ).
fof(f2111,plain,
spl50_180,
inference(avatar_split_clause,[],[f694,f2109]) ).
fof(f2109,plain,
( spl50_180
<=> ! [X4,X0,X5,X3] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),X5))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_180])]) ).
fof(f694,plain,
! [X3,X0,X4,X5] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)),X5))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5)) ),
inference(equality_resolution,[],[f693]) ).
fof(f693,plain,
! [X3,X0,X1,X4,X5] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X5))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) != X1 ),
inference(equality_resolution,[],[f623]) ).
fof(f623,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
| X2 != X5
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) != X1 ),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| ! [X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
| X2 != X5
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) != X1 ) )
& ( ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK30(X0,X1,X2),sK31(X0,X1,X2)),sK32(X0,X1,X2)))
& sK32(X0,X1,X2) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)) = X1 )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f423,f424]) ).
fof(f424,plain,
! [X0,X1,X2] :
( ? [X6,X7,X8] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X6),X7))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X6,X7),X8))
& X2 = X8
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X6),X7) = X1 )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK30(X0,X1,X2),sK31(X0,X1,X2)),sK32(X0,X1,X2)))
& sK32(X0,X1,X2) = X2
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f423,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| ! [X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
| X2 != X5
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) != X1 ) )
& ( ? [X6,X7,X8] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X6),X7))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X6,X7),X8))
& X2 = X8
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X6),X7) = X1 )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
inference(rectify,[],[f422]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| ! [X3,X4,X5] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
| X2 != X5
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) != X1 ) )
& ( ? [X3,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
& X2 = X5
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) = X1 )
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
inference(nnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
<=> ? [X3,X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X3,X4),X5))
& X2 = X5
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) = X1 ) ),
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X46,X54,X55] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X46,X54),X55))
<=> ? [X50,X51,X26] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X50),X51))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X50,X51),X26))
& X26 = X55
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X50),X51) = X54 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2099,plain,
spl50_179,
inference(avatar_split_clause,[],[f621,f2097]) ).
fof(f2097,plain,
( spl50_179
<=> ! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK30(X0,X1,X2),sK31(X0,X1,X2)),sK32(X0,X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_179])]) ).
fof(f621,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,sK30(X0,X1,X2),sK31(X0,X1,X2)),sK32(X0,X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ),
inference(cnf_transformation,[],[f425]) ).
fof(f2095,plain,
spl50_178,
inference(avatar_split_clause,[],[f558,f2093]) ).
fof(f2093,plain,
( spl50_178
<=> ! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK20(X0)),sK21(X0))))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_178])]) ).
fof(f558,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK20(X0)),sK21(X0))))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK20(X0)),sK21(X0))))
& hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK20(X0)),sK21(X0)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0))) )
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f295,f400]) ).
fof(f400,plain,
! [X0] :
( ? [X2,X3] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X3)))
& hBOOL(hAPP_f1753944735l_bool(X0,X3))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X3))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3)) )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK20(X0)),sK21(X0))))
& hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK20(X0)),sK21(X0)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ? [X2,X3] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X3)))
& hBOOL(hAPP_f1753944735l_bool(X0,X3))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X3))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3)) )
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(flattening,[],[f294]) ).
fof(f294,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ? [X2,X3] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X3)))
& hBOOL(hAPP_f1753944735l_bool(X0,X3))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X3))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3)) )
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(ennf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
=> ( ! [X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X3))
=> ( hBOOL(hAPP_f1753944735l_bool(X0,X3))
=> hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X3))) ) ) )
=> hBOOL(hAPP_f1753944735l_bool(X0,X1)) ) ) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X12,X47] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(X12,bot_bo1687970473a_bool))
=> ( ! [X26,X53] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X53))
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X53))
=> ( hBOOL(hAPP_f1753944735l_bool(X12,X53))
=> hBOOL(hAPP_f1753944735l_bool(X12,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),X53))) ) ) )
=> hBOOL(hAPP_f1753944735l_bool(X12,X47)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2057,plain,
spl50_177,
inference(avatar_split_clause,[],[f754,f2055]) ).
fof(f754,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,X2)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0)) ),
inference(forward_demodulation,[],[f615,f712]) ).
fof(f615,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool))) ),
inference(flattening,[],[f324]) ).
fof(f324,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X0))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X0))) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X10,X2,X11] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X11),bot_bo1687970473a_bool)))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),X10))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X11),X10))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2053,plain,
spl50_176,
inference(avatar_split_clause,[],[f721,f2051]) ).
fof(f721,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(fequal1878252616iple_a,X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1))),
inference(forward_demodulation,[],[f521,f714]) ).
fof(f521,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1))),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X1))),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X22,X25] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X25) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X22))),hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),X25))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2035,plain,
spl50_175,
inference(avatar_split_clause,[],[f768,f2033]) ).
fof(f2033,plain,
( spl50_175
<=> ! [X0,X3,X2,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3)) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| sP2(X2,X1,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_175])]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3)) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| sP2(X2,X1,X3,X0) ),
inference(forward_demodulation,[],[f767,f712]) ).
fof(f767,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3))
| sP2(X2,X1,X3,X0) ),
inference(forward_demodulation,[],[f662,f712]) ).
fof(f662,plain,
! [X2,X3,X0,X1] :
( sP2(X2,X1,X3,X0)
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool)) ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0,X1,X2,X3] :
( ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool))
| ~ sP2(X2,X1,X3,X0) )
& ( sP2(X2,X1,X3,X0)
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool)) ) ),
inference(nnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0,X1,X2,X3] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool))
<=> sP2(X2,X1,X3,X0) ),
inference(definition_folding,[],[f270,f356]) ).
fof(f356,plain,
! [X2,X1,X3,X0] :
( sP2(X2,X1,X3,X0)
<=> ( ( X1 = X2
& X0 = X3 )
| ( X1 = X3
& X0 = X2 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool))
<=> ( ( X1 = X2
& X0 = X3 )
| ( X1 = X3
& X0 = X2 ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X22,X23,X13,X30] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X23),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X13),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X30),bot_bo1687970473a_bool))
<=> ( ( X13 = X23
& X22 = X30 )
| ( X23 = X30
& X13 = X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2031,plain,
spl50_174,
inference(avatar_split_clause,[],[f766,f2029]) ).
fof(f2029,plain,
( spl50_174
<=> ! [X0,X3,X2,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| ~ sP2(X2,X1,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_174])]) ).
fof(f766,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))
| ~ sP2(X2,X1,X3,X0) ),
inference(forward_demodulation,[],[f765,f712]) ).
fof(f765,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_H562195827a_bool(fequal1878252616iple_a,X3))
| ~ sP2(X2,X1,X3,X0) ),
inference(forward_demodulation,[],[f663,f712]) ).
fof(f663,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),bot_bo1687970473a_bool))
| ~ sP2(X2,X1,X3,X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f2027,plain,
spl50_173,
inference(avatar_split_clause,[],[f733,f2025]) ).
fof(f2025,plain,
( spl50_173
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,sK18(X0))))
| hBOOL(hAPP_f1753944735l_bool(X0,X1))
| sP0(X0)
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_173])]) ).
fof(f733,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,sK18(X0))))
| hBOOL(hAPP_f1753944735l_bool(X0,X1))
| sP0(X0)
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(forward_demodulation,[],[f553,f712]) ).
fof(f553,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| sP0(X0)
| ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK18(X0)),bot_bo1687970473a_bool)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f397]) ).
fof(f397,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| sP0(X0)
| ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK18(X0)),bot_bo1687970473a_bool)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f353,f396]) ).
fof(f396,plain,
! [X0] :
( ? [X2] : ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
=> ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK18(X0)),bot_bo1687970473a_bool))) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| sP0(X0)
| ? [X2] : ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(definition_folding,[],[f291,f352]) ).
fof(f352,plain,
! [X0] :
( ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)))
& hBOOL(hAPP_f1753944735l_bool(X0,X4))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& bot_bo1687970473a_bool != X4
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X4)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f291,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)))
& hBOOL(hAPP_f1753944735l_bool(X0,X4))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& bot_bo1687970473a_bool != X4
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X4)) )
| ? [X2] : ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(flattening,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)))
& hBOOL(hAPP_f1753944735l_bool(X0,X4))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& bot_bo1687970473a_bool != X4
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X4)) )
| ? [X2] : ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(ennf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( bot_bo1687970473a_bool != X1
=> ( ! [X2] : hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)))
=> ( ! [X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X4))
=> ( bot_bo1687970473a_bool != X4
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
=> ( hBOOL(hAPP_f1753944735l_bool(X0,X4))
=> hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4))) ) ) ) )
=> hBOOL(hAPP_f1753944735l_bool(X0,X1)) ) ) ) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X12,X47] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X47))
=> ( bot_bo1687970473a_bool != X47
=> ( ! [X26] : hBOOL(hAPP_f1753944735l_bool(X12,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),bot_bo1687970473a_bool)))
=> ( ! [X26,X53] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X53))
=> ( bot_bo1687970473a_bool != X53
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X53))
=> ( hBOOL(hAPP_f1753944735l_bool(X12,X53))
=> hBOOL(hAPP_f1753944735l_bool(X12,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),X53))) ) ) ) )
=> hBOOL(hAPP_f1753944735l_bool(X12,X47)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2023,plain,
spl50_172,
inference(avatar_split_clause,[],[f724,f2021]) ).
fof(f724,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1)),
inference(forward_demodulation,[],[f723,f467]) ).
fof(f723,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),collec1266446174iple_a(X1)) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))),X1)),
inference(forward_demodulation,[],[f523,f714]) ).
fof(f523,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),collec1266446174iple_a(X1)) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),X1)),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),collec1266446174iple_a(X1)) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)))),X1)),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X22,X12] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),collec1266446174iple_a(X12)) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fimplies),hAPP_f1400872321a_bool(cOMBB_650444389iple_a(fNot),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X22)))),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2019,plain,
spl50_171,
inference(avatar_split_clause,[],[f650,f2017]) ).
fof(f2017,plain,
( spl50_171
<=> ! [X0,X3,X2,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,sK41(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)))
| ~ sP1(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_171])]) ).
fof(f650,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X1,X0,sK41(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)))
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f443]) ).
fof(f2015,plain,
spl50_170,
inference(avatar_split_clause,[],[f648,f2013]) ).
fof(f2013,plain,
( spl50_170
<=> ! [X0,X3,X2,X1] :
( hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK40(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)) = X2
| ~ sP1(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_170])]) ).
fof(f648,plain,
! [X2,X3,X0,X1] :
( hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,sK40(X0,X1,X2,X3)),sK42(X0,X1,X2,X3)) = X2
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f443]) ).
fof(f2011,plain,
spl50_169,
inference(avatar_split_clause,[],[f647,f2009]) ).
fof(f2009,plain,
( spl50_169
<=> ! [X0,X3,X2,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)) = X3
| ~ sP1(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_169])]) ).
fof(f647,plain,
! [X2,X3,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)) = X3
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f443]) ).
fof(f2007,plain,
spl50_168,
inference(avatar_split_clause,[],[f556,f2005]) ).
fof(f556,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK20(X0)),sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f401]) ).
fof(f1996,plain,
( spl50_167
| ~ spl50_10
| ~ spl50_116 ),
inference(avatar_split_clause,[],[f1413,f1392,f831,f1994]) ).
fof(f1994,plain,
( spl50_167
<=> ! [X2,X0,X1] : is_bool(hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_167])]) ).
fof(f1392,plain,
( spl50_116
<=> ! [X2,X0,X1] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_116])]) ).
fof(f1413,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1))
| ~ spl50_10
| ~ spl50_116 ),
inference(superposition,[],[f832,f1393]) ).
fof(f1393,plain,
( ! [X2,X0,X1] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1)
| ~ spl50_116 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1901,plain,
spl50_166,
inference(avatar_split_clause,[],[f742,f1899]) ).
fof(f1899,plain,
( spl50_166
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_166])]) ).
fof(f742,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))) ),
inference(forward_demodulation,[],[f741,f467]) ).
fof(f741,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ),
inference(forward_demodulation,[],[f740,f467]) ).
fof(f740,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ),
inference(forward_demodulation,[],[f582,f467]) ).
fof(f582,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) )
& ( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) )
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ) ),
inference(flattening,[],[f415]) ).
fof(f415,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) )
& ( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) )
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1))))
<=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X12,X14] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X12)),X14))))
<=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X14)))
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1897,plain,
spl50_165,
inference(avatar_split_clause,[],[f649,f1895]) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK40(X0,X1,X2,X3)),sK41(X0,X1,X2,X3)))
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f443]) ).
fof(f1893,plain,
spl50_164,
inference(avatar_split_clause,[],[f619,f1891]) ).
fof(f619,plain,
! [X2,X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)) = X1
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ),
inference(cnf_transformation,[],[f425]) ).
fof(f1889,plain,
spl50_163,
inference(avatar_split_clause,[],[f616,f1887]) ).
fof(f616,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ),
inference(flattening,[],[f326]) ).
fof(f326,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
| X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2))) ),
inference(ennf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)))
=> ( X0 != X1
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2)) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X22,X23,X24] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X23),X24)))
=> ( X22 != X23
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),X24)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1885,plain,
spl50_162,
inference(avatar_split_clause,[],[f600,f1883]) ).
fof(f600,plain,
! [X2,X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X27,X28,X24] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X28),X24)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X28),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1881,plain,
spl50_161,
inference(avatar_split_clause,[],[f572,f1879]) ).
fof(f572,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| hBOOL(hAPP_H1927961489a_bool(X1,sK26(X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ),
inference(cnf_transformation,[],[f411]) ).
fof(f411,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ! [X2] :
( ( sK26(X1,X2) != X2
& hBOOL(hAPP_H1927961489a_bool(X1,sK26(X1,X2))) )
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f307,f410]) ).
fof(f410,plain,
! [X1,X2] :
( ? [X3] :
( X2 != X3
& hBOOL(hAPP_H1927961489a_bool(X1,X3)) )
=> ( sK26(X1,X2) != X2
& hBOOL(hAPP_H1927961489a_bool(X1,sK26(X1,X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ! [X2] :
( ? [X3] :
( X2 != X3
& hBOOL(hAPP_H1927961489a_bool(X1,X3)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
inference(flattening,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ! [X2] :
( ? [X3] :
( X2 != X3
& hBOOL(hAPP_H1927961489a_bool(X1,X3)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( hBOOL(hAPP_H1927961489a_bool(X1,X3))
=> X2 = X3 )
& hBOOL(hAPP_H1927961489a_bool(X1,X2)) )
=> ( hBOOL(hAPP_H1927961489a_bool(X1,X0))
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0 ) ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X22,X12] :
( ? [X26] :
( ! [X43] :
( hBOOL(hAPP_H1927961489a_bool(X12,X43))
=> X26 = X43 )
& hBOOL(hAPP_H1927961489a_bool(X12,X26)) )
=> ( hBOOL(hAPP_H1927961489a_bool(X12,X22))
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X12) = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1877,plain,
( spl50_160
| ~ spl50_11
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1347,f1294,f835,f1875]) ).
fof(f1347,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)))
| ~ spl50_11
| ~ spl50_101 ),
inference(superposition,[],[f836,f1295]) ).
fof(f1850,plain,
spl50_159,
inference(avatar_split_clause,[],[f727,f1848]) ).
fof(f727,plain,
! [X0,X1] :
( hAPP_H562195827a_bool(fequal1878252616iple_a,X1) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(forward_demodulation,[],[f726,f712]) ).
fof(f726,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(forward_demodulation,[],[f524,f467]) ).
fof(f524,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0,X1] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0))
| hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> bot_bo1687970473a_bool = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)) )
& ( hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X12,X22] :
( ( ~ hBOOL(hAPP_H1927961489a_bool(X12,X22))
=> bot_bo1687970473a_bool = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X22))),X12)) )
& ( hBOOL(hAPP_H1927961489a_bool(X12,X22))
=> hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X22))),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1846,plain,
spl50_158,
inference(avatar_split_clause,[],[f622,f1844]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK30(X0,X1,X2)),sK31(X0,X1,X2)))
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ),
inference(cnf_transformation,[],[f425]) ).
fof(f1842,plain,
spl50_157,
inference(avatar_split_clause,[],[f573,f1840]) ).
fof(f1840,plain,
( spl50_157
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| sK26(X1,X2) != X2
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_157])]) ).
fof(f573,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X1) = X0
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0))
| sK26(X1,X2) != X2
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1824,plain,
spl50_156,
inference(avatar_split_clause,[],[f557,f1822]) ).
fof(f557,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| hBOOL(hAPP_f1753944735l_bool(X0,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f401]) ).
fof(f1820,plain,
spl50_155,
inference(avatar_split_clause,[],[f555,f1818]) ).
fof(f555,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(X0,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK21(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(X0,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f401]) ).
fof(f1816,plain,
( spl50_154
| ~ spl50_10
| ~ spl50_99 ),
inference(avatar_split_clause,[],[f1343,f1286,f831,f1814]) ).
fof(f1343,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)))
| ~ spl50_10
| ~ spl50_99 ),
inference(superposition,[],[f832,f1287]) ).
fof(f1649,plain,
spl50_153,
inference(avatar_split_clause,[],[f725,f1647]) ).
fof(f725,plain,
! [X0,X1] :
( bot_bo1687970473a_bool = hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0)
| hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(forward_demodulation,[],[f525,f467]) ).
fof(f525,plain,
! [X0,X1] :
( bot_bo1687970473a_bool = collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),hAPP_H562195827a_bool(fequal1878252616iple_a,X1))),X0))
| hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1645,plain,
spl50_152,
inference(avatar_split_clause,[],[f612,f1643]) ).
fof(f612,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2)) ),
inference(ennf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2))) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X23,X22,X25] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),X25))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X23),X25))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1641,plain,
spl50_151,
inference(avatar_split_clause,[],[f607,f1639]) ).
fof(f607,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0,X1,X2] :
( hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(flattening,[],[f313]) ).
fof(f313,plain,
! [X0,X1,X2] :
( hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0)
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(ennf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2] :
( hBOOL(finite520909254iple_a(X1,X2))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
=> hAPP_f1826273671iple_a(X2,X0) = hAPP_f1826273671iple_a(finite233325225iple_a(X1),X0) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X24,X46,X47] :
( hBOOL(finite520909254iple_a(X46,X47))
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> hAPP_f1826273671iple_a(X47,X24) = hAPP_f1826273671iple_a(finite233325225iple_a(X46),X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1637,plain,
( spl50_150
| ~ spl50_3
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1037,f992,f800,f1635]) ).
fof(f800,plain,
( spl50_3
<=> is_bool(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
fof(f1037,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fTrue),X0)
| ~ spl50_3
| ~ spl50_47 ),
inference(resolution,[],[f993,f802]) ).
fof(f802,plain,
( is_bool(fTrue)
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1633,plain,
spl50_149,
inference(avatar_split_clause,[],[f561,f1631]) ).
fof(f1631,plain,
( spl50_149
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| hBOOL(hAPP_H1927961489a_bool(X0,sK23(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_149])]) ).
fof(f561,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| hBOOL(hAPP_H1927961489a_bool(X0,sK23(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| ( sK23(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK23(X0,X1))) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f299,f404]) ).
fof(f404,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
=> ( sK23(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK23(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(flattening,[],[f298]) ).
fof(f298,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(ennf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> ( ! [X2] :
( hBOOL(hAPP_H1927961489a_bool(X0,X2))
=> X1 = X2 )
=> hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0))) ) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X12,X22] :
( hBOOL(hAPP_H1927961489a_bool(X12,X22))
=> ( ! [X26] :
( hBOOL(hAPP_H1927961489a_bool(X12,X26))
=> X22 = X26 )
=> hBOOL(hAPP_H1927961489a_bool(X12,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1629,plain,
spl50_148,
inference(avatar_split_clause,[],[f496,f1627]) ).
fof(f496,plain,
! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(X0)),sK9(X0)) = X0
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ),
inference(cnf_transformation,[],[f381]) ).
fof(f381,plain,
! [X0] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ( ! [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) != X0 )
& bot_bo1687970473a_bool != X0 ) )
& ( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK9(X0)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(X0)),sK9(X0)) = X0 )
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f379,f380]) ).
fof(f380,plain,
! [X0] :
( ? [X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X3) = X0 )
=> ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK9(X0)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK10(X0)),sK9(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f379,plain,
! [X0] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ( ! [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) != X0 )
& bot_bo1687970473a_bool != X0 ) )
& ( ? [X3,X4] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X3))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X3) = X0 )
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
inference(rectify,[],[f378]) ).
fof(f378,plain,
! [X0] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ( ! [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) != X0 )
& bot_bo1687970473a_bool != X0 ) )
& ( ? [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) = X0 )
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
inference(flattening,[],[f377]) ).
fof(f377,plain,
! [X0] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ( ! [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) != X0 )
& bot_bo1687970473a_bool != X0 ) )
& ( ? [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) = X0 )
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
<=> ( ? [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) = X0 )
| bot_bo1687970473a_bool = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X22] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X22))
<=> ( ? [X51,X50] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X51))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X50),X51) = X22 )
| bot_bo1687970473a_bool = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1625,plain,
spl50_147,
inference(avatar_split_clause,[],[f481,f1623]) ).
fof(f1623,plain,
( spl50_147
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| hBOOL(hAPP_H1927961489a_bool(X0,sK4(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_147])]) ).
fof(f481,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| hBOOL(hAPP_H1927961489a_bool(X0,sK4(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| ! [X1] :
( ( sK4(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK4(X0,X1))) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f281,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
=> ( sK4(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK4(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| ! [X1] :
( ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( hBOOL(hAPP_H1927961489a_bool(X0,X2))
=> X1 = X2 )
& hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
=> hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0))) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X12] :
( ? [X26] :
( ! [X43] :
( hBOOL(hAPP_H1927961489a_bool(X12,X43))
=> X26 = X43 )
& hBOOL(hAPP_H1927961489a_bool(X12,X26)) )
=> hBOOL(hAPP_H1927961489a_bool(X12,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1621,plain,
spl50_146,
inference(avatar_split_clause,[],[f476,f1619]) ).
fof(f1619,plain,
( spl50_146
<=> ! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,X0) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1447988451a_bool(cOMBB_545742339iple_a(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)),hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,insert1871499715iple_a),bot_bo1687970473a_bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_146])]) ).
fof(f476,plain,
! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,X0) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1447988451a_bool(cOMBB_545742339iple_a(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)),hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,insert1871499715iple_a),bot_bo1687970473a_bool))),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,X0) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1447988451a_bool(cOMBB_545742339iple_a(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)),hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,insert1871499715iple_a),bot_bo1687970473a_bool))),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X38] : hAPP_f1826273671iple_a(the_el287271400iple_a,X38) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_f1447988451a_bool(cOMBB_545742339iple_a(hAPP_f1945881407l_bool(fequal1765155200a_bool,X38)),hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,insert1871499715iple_a),bot_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1604,plain,
( spl50_145
| ~ spl50_4
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1035,f992,f805,f1602]) ).
fof(f1035,plain,
( ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(bot_bot_bool),X0)
| ~ spl50_4
| ~ spl50_47 ),
inference(resolution,[],[f993,f807]) ).
fof(f1529,plain,
( spl50_144
| ~ spl50_3
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1028,f988,f800,f1527]) ).
fof(f1028,plain,
( ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0)
| ~ spl50_3
| ~ spl50_46 ),
inference(resolution,[],[f989,f802]) ).
fof(f1525,plain,
spl50_143,
inference(avatar_split_clause,[],[f746,f1523]) ).
fof(f1523,plain,
( spl50_143
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_143])]) ).
fof(f746,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ),
inference(forward_demodulation,[],[f745,f467]) ).
fof(f745,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ),
inference(forward_demodulation,[],[f580,f467]) ).
fof(f580,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ),
inference(cnf_transformation,[],[f416]) ).
fof(f1521,plain,
spl50_142,
inference(avatar_split_clause,[],[f744,f1519]) ).
fof(f1519,plain,
( spl50_142
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_142])]) ).
fof(f744,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(forward_demodulation,[],[f743,f467]) ).
fof(f743,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ),
inference(forward_demodulation,[],[f581,f467]) ).
fof(f581,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fdisj),X0)),X1)))) ),
inference(cnf_transformation,[],[f416]) ).
fof(f1517,plain,
spl50_141,
inference(avatar_split_clause,[],[f738,f1515]) ).
fof(f1515,plain,
( spl50_141
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_141])]) ).
fof(f738,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))) ),
inference(forward_demodulation,[],[f737,f467]) ).
fof(f737,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1))) ),
inference(forward_demodulation,[],[f570,f467]) ).
fof(f570,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1))) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))))
| ( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0)))
& ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1))) ) ),
inference(ennf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X1))) )
=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0)))) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X14)))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X12))) )
=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X12)),X14)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1513,plain,
spl50_140,
inference(avatar_split_clause,[],[f736,f1511]) ).
fof(f1511,plain,
( spl50_140
<=> ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_140])]) ).
fof(f736,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))) ),
inference(forward_demodulation,[],[f735,f467]) ).
fof(f735,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ),
inference(forward_demodulation,[],[f571,f467]) ).
fof(f571,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,hAPP_f13210641l_bool(cOMBB_633860163iple_a(fconj),X1)),X0))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,collec1266446174iple_a(X0))) ),
inference(cnf_transformation,[],[f305]) ).
fof(f1509,plain,
spl50_139,
inference(avatar_split_clause,[],[f653,f1507]) ).
fof(f653,plain,
! [X2,X3,X0,X1] :
( sP1(X1,X0,X3,X2)
| X1 = X3
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ( ~ sP1(X1,X0,X3,X2)
& ( X1 != X3
| bot_bo1687970473a_bool != X2 ) ) )
& ( sP1(X1,X0,X3,X2)
| ( X1 = X3
& bot_bo1687970473a_bool = X2 )
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ) ),
inference(flattening,[],[f444]) ).
fof(f444,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ( ~ sP1(X1,X0,X3,X2)
& ( X1 != X3
| bot_bo1687970473a_bool != X2 ) ) )
& ( sP1(X1,X0,X3,X2)
| ( X1 = X3
& bot_bo1687970473a_bool = X2 )
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ) ),
inference(nnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
<=> ( sP1(X1,X0,X3,X2)
| ( X1 = X3
& bot_bo1687970473a_bool = X2 ) ) ),
inference(definition_folding,[],[f269,f354]) ).
fof(f269,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
<=> ( ? [X4,X5,X6] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X5),X6))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X4),X5))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X0,X4),X6) = X3
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X4),X5) = X2 )
| ( X1 = X3
& bot_bo1687970473a_bool = X2 ) ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X46,X48,X54,X55] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,X54),X55))
<=> ( ? [X26,X51,X43] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,X51),X43))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X51))
& hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X26),X43) = X55
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),X51) = X54 )
| ( X48 = X55
& bot_bo1687970473a_bool = X54 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1505,plain,
spl50_138,
inference(avatar_split_clause,[],[f652,f1503]) ).
fof(f652,plain,
! [X2,X3,X0,X1] :
( sP1(X1,X0,X3,X2)
| bot_bo1687970473a_bool = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f445]) ).
fof(f1501,plain,
spl50_137,
inference(avatar_split_clause,[],[f624,f1499]) ).
fof(f624,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2)) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| ( ~ hBOOL(hAPP_H1927961489a_bool(X1,X2))
& X0 != X2 ) )
& ( hBOOL(hAPP_H1927961489a_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2)) ) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| ( ~ hBOOL(hAPP_H1927961489a_bool(X1,X2))
& X0 != X2 ) )
& ( hBOOL(hAPP_H1927961489a_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
<=> ( hBOOL(hAPP_H1927961489a_bool(X1,X2))
| X0 = X2 ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X28,X24,X27] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X28),X24),X27))
<=> ( hBOOL(hAPP_H1927961489a_bool(X24,X27))
| X27 = X28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1497,plain,
spl50_136,
inference(avatar_split_clause,[],[f609,f1495]) ).
fof(f609,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2)) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2)) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2)) ),
inference(ennf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),X2))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X2)) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X9,X10] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X9),X10))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),X9))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1493,plain,
spl50_135,
inference(avatar_split_clause,[],[f599,f1491]) ).
fof(f599,plain,
! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X0,X2),hAPP_H1927961489a_bool(X1,X2)),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_H1877746411l_bool(X0,X2),hAPP_H1927961489a_bool(X1,X2)),
inference(rectify,[],[f134]) ).
fof(f134,axiom,
! [X56,X57,X60] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f1104866853a_bool(cOMBS_213702372l_bool,X56),X57),X60) = hAPP_bool_bool(hAPP_H1877746411l_bool(X56,X60),hAPP_H1927961489a_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1488,plain,
( spl50_134
| ~ spl50_4
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1026,f988,f805,f1486]) ).
fof(f1026,plain,
( ! [X0] : bot_bot_bool = hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),X0)
| ~ spl50_4
| ~ spl50_46 ),
inference(resolution,[],[f989,f807]) ).
fof(f1484,plain,
spl50_133,
inference(avatar_split_clause,[],[f598,f1482]) ).
fof(f598,plain,
! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),hAPP_state_bool(X1,X2)),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),hAPP_state_bool(X1,X2)),
inference(rectify,[],[f124]) ).
fof(f124,axiom,
! [X56,X57,X60] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X56),X57),X60) = hAPP_bool_bool(hAPP_s58564346l_bool(X56,X60),hAPP_state_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1480,plain,
spl50_132,
inference(avatar_split_clause,[],[f566,f1478]) ).
fof(f566,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK25(X0,X1)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1 )
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f302,f408]) ).
fof(f408,plain,
! [X0,X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1 )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK25(X0,X1)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK25(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0,X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1 )
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(ennf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
=> ? [X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1 ) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X22,X24] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),X24))
=> ? [X35] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),X35))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X35) = X24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1476,plain,
spl50_131,
inference(avatar_split_clause,[],[f564,f1474]) ).
fof(f564,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f407]) ).
fof(f407,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK24(X0,X1)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1 )
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f301,f406]) ).
fof(f406,plain,
! [X0,X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1 )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK24(X0,X1)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),sK24(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0,X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1 )
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(ennf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
=> ~ ! [X2] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X2) = X1
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X2)) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X27,X24] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
=> ~ ! [X35] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X35) = X24
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X35)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1472,plain,
spl50_130,
inference(avatar_split_clause,[],[f562,f1470]) ).
fof(f1470,plain,
( spl50_130
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| sK23(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_130])]) ).
fof(f562,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| sK23(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f405]) ).
fof(f1468,plain,
spl50_129,
inference(avatar_split_clause,[],[f559,f1466]) ).
fof(f1466,plain,
( spl50_129
<=> ! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| hBOOL(hAPP_H1927961489a_bool(X0,sK22(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_129])]) ).
fof(f559,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| hBOOL(hAPP_H1927961489a_bool(X0,sK22(X0,X1)))
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f403]) ).
fof(f403,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| ( sK22(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK22(X0,X1))) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f297,f402]) ).
fof(f402,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
=> ( sK22(X0,X1) != X1
& hBOOL(hAPP_H1927961489a_bool(X0,sK22(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(flattening,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| ? [X2] :
( X1 != X2
& hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(ennf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> ( ! [X2] :
( hBOOL(hAPP_H1927961489a_bool(X0,X2))
=> X1 = X2 )
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1 ) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X12,X22] :
( hBOOL(hAPP_H1927961489a_bool(X12,X22))
=> ( ! [X26] :
( hBOOL(hAPP_H1927961489a_bool(X12,X26))
=> X22 = X26 )
=> hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X12) = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1464,plain,
spl50_128,
inference(avatar_split_clause,[],[f554,f1462]) ).
fof(f554,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),sK19(X0,X1)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(cnf_transformation,[],[f399]) ).
fof(f399,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),sK19(X0,X1)))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f293,f398]) ).
fof(f398,plain,
! [X0,X1] :
( ? [X2] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
=> hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),sK19(X0,X1))) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X2] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(flattening,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X2] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| bot_bo1687970473a_bool = X1
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(ennf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
=> ( bot_bo1687970473a_bool != X1
=> ? [X2] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X46,X24] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ( bot_bo1687970473a_bool != X24
=> ? [X52] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X46,X24),X52)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1460,plain,
spl50_127,
inference(avatar_split_clause,[],[f520,f1458]) ).
fof(f520,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X27,X24] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),X24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1456,plain,
spl50_126,
inference(avatar_split_clause,[],[f482,f1454]) ).
fof(f1454,plain,
( spl50_126
<=> ! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| sK4(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_126])]) ).
fof(f482,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X0,hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0)))
| sK4(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f361]) ).
fof(f1446,plain,
spl50_125,
inference(avatar_split_clause,[],[f604,f1444]) ).
fof(f604,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),sK27(X0,X1,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),sK27(X0,X1,X2)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f310,f417]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ? [X3] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
=> hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),sK27(X0,X1,X2))) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0,X1,X2] :
( ? [X3] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) ),
inference(ennf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2))
=> ? [X3] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3)) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X46,X48,X24] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24))
=> ? [X52] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,X24),X52)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1442,plain,
spl50_124,
inference(avatar_split_clause,[],[f569,f1440]) ).
fof(f569,plain,
! [X0,X1] :
( X0 = X1
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( X0 = X1
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) ),
inference(ennf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)
=> X0 = X1 ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X22,X23] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X23),bot_bo1687970473a_bool)
=> X22 = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1438,plain,
spl50_123,
inference(avatar_split_clause,[],[f567,f1436]) ).
fof(f567,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK25(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f409]) ).
fof(f1434,plain,
spl50_122,
inference(avatar_split_clause,[],[f565,f1432]) ).
fof(f565,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),sK24(X0,X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f407]) ).
fof(f1430,plain,
spl50_121,
inference(avatar_split_clause,[],[f560,f1428]) ).
fof(f1428,plain,
( spl50_121
<=> ! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| sK22(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_121])]) ).
fof(f560,plain,
! [X0,X1] :
( hAPP_f1826273671iple_a(the_Ho1745054714iple_a,X0) = X1
| sK22(X0,X1) != X1
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(cnf_transformation,[],[f403]) ).
fof(f1419,plain,
( ~ spl50_120
| spl50_102
| ~ spl50_103 ),
inference(avatar_split_clause,[],[f1306,f1302,f1298,f1416]) ).
fof(f1306,plain,
( fFalse != fTrue
| spl50_102
| ~ spl50_103 ),
inference(forward_demodulation,[],[f1299,f1304]) ).
fof(f1299,plain,
( bot_bot_bool != fFalse
| spl50_102 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1406,plain,
spl50_119,
inference(avatar_split_clause,[],[f597,f1404]) ).
fof(f597,plain,
! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1),X2) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,X2),X1),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X0),X1),X2) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X0,X2),X1),
inference(rectify,[],[f141]) ).
fof(f141,axiom,
! [X56,X57,X60] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,X56),X57),X60) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1402,plain,
spl50_118,
inference(avatar_split_clause,[],[f596,f1400]) ).
fof(f596,plain,
! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1),X2) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,X2),X1),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X0),X1),X2) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X0,X2),X1),
inference(rectify,[],[f138]) ).
fof(f138,axiom,
! [X56,X57,X60] : hAPP_H1927961489a_bool(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,X56),X57),X60) = hAPP_H1927961489a_bool(hAPP_H562195827a_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1398,plain,
spl50_117,
inference(avatar_split_clause,[],[f595,f1396]) ).
fof(f1396,plain,
( spl50_117
<=> ! [X2,X0,X1] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X0),X1),X2) = hAPP_state_bool(hAPP_s1806633685e_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_117])]) ).
fof(f595,plain,
! [X2,X0,X1] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X0),X1),X2) = hAPP_state_bool(hAPP_s1806633685e_bool(X0,X2),X1),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X0),X1),X2) = hAPP_state_bool(hAPP_s1806633685e_bool(X0,X2),X1),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X56,X57,X60] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X56),X57),X60) = hAPP_state_bool(hAPP_s1806633685e_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1394,plain,
spl50_116,
inference(avatar_split_clause,[],[f594,f1392]) ).
fof(f594,plain,
! [X2,X0,X1] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X0),X1),X2) = hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1),
inference(rectify,[],[f123]) ).
fof(f123,axiom,
! [X56,X57,X60] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X56),X57),X60) = hAPP_bool_bool(hAPP_s58564346l_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1390,plain,
spl50_115,
inference(avatar_split_clause,[],[f593,f1388]) ).
fof(f1388,plain,
( spl50_115
<=> ! [X2,X0,X1] : hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X0),X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_115])]) ).
fof(f593,plain,
! [X2,X0,X1] : hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X0),X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X0,X2),X1),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] : hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X0),X1),X2) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X0,X2),X1),
inference(rectify,[],[f143]) ).
fof(f143,axiom,
! [X56,X57,X60] : hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X56),X57),X60) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1386,plain,
spl50_114,
inference(avatar_split_clause,[],[f592,f1384]) ).
fof(f1384,plain,
( spl50_114
<=> ! [X2,X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,X0),X1),X2) = hAPP_f1759915619e_bool(hAPP_a1200519163e_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_114])]) ).
fof(f592,plain,
! [X2,X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,X0),X1),X2) = hAPP_f1759915619e_bool(hAPP_a1200519163e_bool(X0,X2),X1),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,X0),X1),X2) = hAPP_f1759915619e_bool(hAPP_a1200519163e_bool(X0,X2),X1),
inference(rectify,[],[f135]) ).
fof(f135,axiom,
! [X56,X57,X60] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,X56),X57),X60) = hAPP_f1759915619e_bool(hAPP_a1200519163e_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1382,plain,
spl50_113,
inference(avatar_split_clause,[],[f591,f1380]) ).
fof(f1380,plain,
( spl50_113
<=> ! [X2,X0,X1] : hAPP_a2036067514e_bool(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,X0),X1),X2) = hAPP_b2019457360e_bool(hAPP_a723219176e_bool(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_113])]) ).
fof(f591,plain,
! [X2,X0,X1] : hAPP_a2036067514e_bool(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,X0),X1),X2) = hAPP_b2019457360e_bool(hAPP_a723219176e_bool(X0,X2),X1),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2] : hAPP_a2036067514e_bool(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,X0),X1),X2) = hAPP_b2019457360e_bool(hAPP_a723219176e_bool(X0,X2),X1),
inference(rectify,[],[f128]) ).
fof(f128,axiom,
! [X56,X57,X60] : hAPP_a2036067514e_bool(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,X56),X57),X60) = hAPP_b2019457360e_bool(hAPP_a723219176e_bool(X56,X60),X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1378,plain,
spl50_112,
inference(avatar_split_clause,[],[f563,f1376]) ).
fof(f563,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(ennf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
=> hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) = X1 ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X22,X24] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),X24))
=> hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X24) = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1358,plain,
( ~ spl50_111
| spl50_22
| ~ spl50_103 ),
inference(avatar_split_clause,[],[f1339,f1302,f882,f1355]) ).
fof(f1339,plain,
( ~ hBOOL(fTrue)
| spl50_22
| ~ spl50_103 ),
inference(superposition,[],[f883,f1304]) ).
fof(f883,plain,
( ~ hBOOL(bot_bot_bool)
| spl50_22 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1334,plain,
spl50_110,
inference(avatar_split_clause,[],[f680,f1332]) ).
fof(f680,plain,
! [X2,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(equality_resolution,[],[f499]) ).
fof(f499,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1) != X0 ),
inference(cnf_transformation,[],[f381]) ).
fof(f1330,plain,
spl50_109,
inference(avatar_split_clause,[],[f677,f1328]) ).
fof(f677,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( hoare_1050552211iple_a(X3,X4,X5) = hoare_1050552211iple_a(X0,X1,X2)
| X2 != X5
| X1 != X4
| X0 != X3 )
& ( ( X2 = X5
& X1 = X4
& X0 = X3 )
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ) ),
inference(flattening,[],[f457]) ).
fof(f457,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( hoare_1050552211iple_a(X3,X4,X5) = hoare_1050552211iple_a(X0,X1,X2)
| X2 != X5
| X1 != X4
| X0 != X3 )
& ( ( X2 = X5
& X1 = X4
& X0 = X3 )
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( hoare_1050552211iple_a(X3,X4,X5) = hoare_1050552211iple_a(X0,X1,X2)
<=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X4,X5,X6,X7,X8] :
( hoare_1050552211iple_a(X3,X4,X5) = hoare_1050552211iple_a(X6,X7,X8)
<=> ( X5 = X8
& X4 = X7
& X3 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1326,plain,
spl50_108,
inference(avatar_split_clause,[],[f676,f1324]) ).
fof(f676,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f1322,plain,
spl50_107,
inference(avatar_split_clause,[],[f675,f1320]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| hoare_1050552211iple_a(X3,X4,X5) != hoare_1050552211iple_a(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f1318,plain,
spl50_106,
inference(avatar_split_clause,[],[f655,f1316]) ).
fof(f655,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,X2),X3))
| ~ sP1(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f445]) ).
fof(f1314,plain,
spl50_105,
inference(avatar_split_clause,[],[f626,f1312]) ).
fof(f626,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X2)) ),
inference(cnf_transformation,[],[f427]) ).
fof(f1310,plain,
spl50_104,
inference(avatar_split_clause,[],[f620,f1308]) ).
fof(f620,plain,
! [X2,X0,X1] :
( sK32(X0,X1,X2) = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2)) ),
inference(cnf_transformation,[],[f425]) ).
fof(f1305,plain,
( spl50_102
| spl50_103
| ~ spl50_4
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1017,f957,f805,f1302,f1298]) ).
fof(f1017,plain,
( bot_bot_bool = fTrue
| bot_bot_bool = fFalse
| ~ spl50_4
| ~ spl50_39 ),
inference(resolution,[],[f958,f807]) ).
fof(f1296,plain,
spl50_101,
inference(avatar_split_clause,[],[f590,f1294]) ).
fof(f590,plain,
! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)),
inference(rectify,[],[f133]) ).
fof(f133,axiom,
! [X56,X57,X60] : hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(cOMBB_650444389iple_a(X56),X57),X60) = hAPP_bool_bool(X56,hAPP_H1927961489a_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1292,plain,
spl50_100,
inference(avatar_split_clause,[],[f589,f1290]) ).
fof(f589,plain,
! [X2,X0,X1] : hAPP_H1927961489a_bool(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1),X2) = hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2)),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] : hAPP_H1927961489a_bool(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X0),X1),X2) = hAPP_f1753944735l_bool(X0,hAPP_H562195827a_bool(X1,X2)),
inference(rectify,[],[f140]) ).
fof(f140,axiom,
! [X56,X57,X60] : hAPP_H1927961489a_bool(hAPP_f1447988451a_bool(cOMBB_545742339iple_a(X56),X57),X60) = hAPP_f1753944735l_bool(X56,hAPP_H562195827a_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1288,plain,
spl50_99,
inference(avatar_split_clause,[],[f588,f1286]) ).
fof(f588,plain,
! [X2,X0,X1] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X0),X1),X2) = hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X56,X57,X60] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X56),X57),X60) = hAPP_bool_bool(X56,hAPP_state_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1284,plain,
spl50_98,
inference(avatar_split_clause,[],[f587,f1282]) ).
fof(f1282,plain,
( spl50_98
<=> ! [X2,X0,X1] : hAPP_a849909144l_bool(hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(X0),X1),X2) = hAPP_f1259673775l_bool(X0,hAPP_a2036067514e_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_98])]) ).
fof(f587,plain,
! [X2,X0,X1] : hAPP_a849909144l_bool(hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(X0),X1),X2) = hAPP_f1259673775l_bool(X0,hAPP_a2036067514e_bool(X1,X2)),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2] : hAPP_a849909144l_bool(hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(X0),X1),X2) = hAPP_f1259673775l_bool(X0,hAPP_a2036067514e_bool(X1,X2)),
inference(rectify,[],[f137]) ).
fof(f137,axiom,
! [X56,X57,X60] : hAPP_a849909144l_bool(hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(X56),X57),X60) = hAPP_f1259673775l_bool(X56,hAPP_a2036067514e_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1280,plain,
spl50_97,
inference(avatar_split_clause,[],[f586,f1278]) ).
fof(f586,plain,
! [X2,X0,X1] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2)),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_state_bool(X1,X2)),
inference(rectify,[],[f130]) ).
fof(f130,axiom,
! [X56,X57,X60] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X56),X57),X60) = hAPP_b589554111l_bool(X56,hAPP_state_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1276,plain,
spl50_96,
inference(avatar_split_clause,[],[f585,f1274]) ).
fof(f585,plain,
! [X2,X0,X1] : hAPP_H1877746411l_bool(hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2)),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1,X2] : hAPP_H1877746411l_bool(hAPP_f13210641l_bool(cOMBB_633860163iple_a(X0),X1),X2) = hAPP_b589554111l_bool(X0,hAPP_H1927961489a_bool(X1,X2)),
inference(rectify,[],[f136]) ).
fof(f136,axiom,
! [X56,X57,X60] : hAPP_H1877746411l_bool(hAPP_f13210641l_bool(cOMBB_633860163iple_a(X56),X57),X60) = hAPP_b589554111l_bool(X56,hAPP_H1927961489a_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1272,plain,
spl50_95,
inference(avatar_split_clause,[],[f584,f1270]) ).
fof(f1270,plain,
( spl50_95
<=> ! [X2,X0,X1] : hAPP_a723219176e_bool(hAPP_f340725611e_bool(cOMBB_1348041619bool_a(X0),X1),X2) = hAPP_f167292325e_bool(X0,hAPP_a849909144l_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_95])]) ).
fof(f584,plain,
! [X2,X0,X1] : hAPP_a723219176e_bool(hAPP_f340725611e_bool(cOMBB_1348041619bool_a(X0),X1),X2) = hAPP_f167292325e_bool(X0,hAPP_a849909144l_bool(X1,X2)),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2] : hAPP_a723219176e_bool(hAPP_f340725611e_bool(cOMBB_1348041619bool_a(X0),X1),X2) = hAPP_f167292325e_bool(X0,hAPP_a849909144l_bool(X1,X2)),
inference(rectify,[],[f139]) ).
fof(f139,axiom,
! [X56,X57,X60] : hAPP_a723219176e_bool(hAPP_f340725611e_bool(cOMBB_1348041619bool_a(X56),X57),X60) = hAPP_f167292325e_bool(X56,hAPP_a849909144l_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1268,plain,
spl50_94,
inference(avatar_split_clause,[],[f583,f1266]) ).
fof(f1266,plain,
( spl50_94
<=> ! [X2,X0,X1] : hAPP_a1200519163e_bool(hAPP_f963367678e_bool(cOMBB_145932198bool_a(X0),X1),X2) = hAPP_f644196280e_bool(X0,hAPP_a849909144l_bool(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_94])]) ).
fof(f583,plain,
! [X2,X0,X1] : hAPP_a1200519163e_bool(hAPP_f963367678e_bool(cOMBB_145932198bool_a(X0),X1),X2) = hAPP_f644196280e_bool(X0,hAPP_a849909144l_bool(X1,X2)),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2] : hAPP_a1200519163e_bool(hAPP_f963367678e_bool(cOMBB_145932198bool_a(X0),X1),X2) = hAPP_f644196280e_bool(X0,hAPP_a849909144l_bool(X1,X2)),
inference(rectify,[],[f142]) ).
fof(f142,axiom,
! [X56,X57,X60] : hAPP_a1200519163e_bool(hAPP_f963367678e_bool(cOMBB_145932198bool_a(X56),X57),X60) = hAPP_f644196280e_bool(X56,hAPP_a849909144l_bool(X57,X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1264,plain,
spl50_93,
inference(avatar_split_clause,[],[f576,f1262]) ).
fof(f576,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ),
inference(cnf_transformation,[],[f413]) ).
fof(f413,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) )
& ( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)))
<=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X1)) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X22,X24] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X24)))
<=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1260,plain,
spl50_92,
inference(avatar_split_clause,[],[f552,f1258]) ).
fof(f552,plain,
! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK16(X0)),sK17(X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f395,plain,
! [X0] :
( ( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK16(X0)),sK17(X0))))
& hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
& bot_bo1687970473a_bool != sK17(X0)
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0))) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f393,f394]) ).
fof(f394,plain,
! [X0] :
( ? [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)))
& hBOOL(hAPP_f1753944735l_bool(X0,X2))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
& bot_bo1687970473a_bool != X2
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK16(X0)),sK17(X0))))
& hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
& bot_bo1687970473a_bool != sK17(X0)
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f393,plain,
! [X0] :
( ? [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2)))
& hBOOL(hAPP_f1753944735l_bool(X0,X2))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
& bot_bo1687970473a_bool != X2
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X2)) )
| ~ sP0(X0) ),
inference(rectify,[],[f392]) ).
fof(f392,plain,
! [X0] :
( ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4)))
& hBOOL(hAPP_f1753944735l_bool(X0,X4))
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& bot_bo1687970473a_bool != X4
& hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X4)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f352]) ).
fof(f1255,plain,
spl50_91,
inference(avatar_split_clause,[],[f497,f1253]) ).
fof(f1253,plain,
( spl50_91
<=> ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK9(X0)))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_91])]) ).
fof(f497,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK9(X0)))
| bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,X0)) ),
inference(cnf_transformation,[],[f381]) ).
fof(f1251,plain,
spl50_90,
inference(avatar_split_clause,[],[f483,f1249]) ).
fof(f483,plain,
! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),sK6(X0)) = X0
| bot_bo1687970473a_bool = X0 ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ( bot_bo1687970473a_bool != X0
| ! [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != X0 ) )
& ( ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),sK6(X0)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),sK6(X0)) = X0 )
| bot_bo1687970473a_bool = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f363,f364]) ).
fof(f364,plain,
! [X0] :
( ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) = X0 )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),sK6(X0)))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),sK6(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0] :
( ( bot_bo1687970473a_bool != X0
| ! [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != X0 ) )
& ( ? [X3,X4] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X3),X4))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X3),X4) = X0 )
| bot_bo1687970473a_bool = X0 ) ),
inference(rectify,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ( bot_bo1687970473a_bool != X0
| ! [X1,X2] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
| hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) != X0 ) )
& ( ? [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = X0 )
| bot_bo1687970473a_bool = X0 ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( bot_bo1687970473a_bool != X0
<=> ? [X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X2))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),X2) = X0 ) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X24] :
( bot_bo1687970473a_bool != X24
<=> ? [X26,X35] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X35))
& hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X26),X35) = X24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1232,plain,
( spl50_89
| ~ spl50_1
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1027,f988,f790,f1230]) ).
fof(f790,plain,
( spl50_1
<=> is_bool(fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
fof(f1027,plain,
( ! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0)
| ~ spl50_1
| ~ spl50_46 ),
inference(resolution,[],[f989,f792]) ).
fof(f792,plain,
( is_bool(fFalse)
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1227,plain,
spl50_88,
inference(avatar_split_clause,[],[f756,f1225]) ).
fof(f756,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1)),X2))
| X1 = X2 ),
inference(forward_demodulation,[],[f627,f712]) ).
fof(f627,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)),X2)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)),X2))
| X1 != X2 )
& ( X1 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)),X2)) ) ),
inference(nnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)),X2))
<=> X1 = X2 ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X46,X22,X23] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X46,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool)),X23))
<=> X22 = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1223,plain,
spl50_87,
inference(avatar_split_clause,[],[f752,f1221]) ).
fof(f1221,plain,
( spl50_87
<=> ! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X2,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| ~ hBOOL(finite520909254iple_a(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_87])]) ).
fof(f752,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X2,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(forward_demodulation,[],[f606,f712]) ).
fof(f606,plain,
! [X2,X0,X1] :
( hAPP_f1826273671iple_a(X2,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2] :
( hAPP_f1826273671iple_a(X2,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0
| ~ hBOOL(finite520909254iple_a(X1,X2)) ),
inference(ennf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( hBOOL(finite520909254iple_a(X1,X2))
=> hAPP_f1826273671iple_a(X2,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0 ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X27,X46,X47] :
( hBOOL(finite520909254iple_a(X46,X47))
=> hAPP_f1826273671iple_a(X47,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),bot_bo1687970473a_bool)) = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1219,plain,
spl50_86,
inference(avatar_split_clause,[],[f734,f1217]) ).
fof(f734,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)))
| X0 = X1 ),
inference(forward_demodulation,[],[f568,f712]) ).
fof(f568,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)))
=> X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X23,X22] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X23),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool)))
=> X22 = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1215,plain,
spl50_85,
inference(avatar_split_clause,[],[f659,f1213]) ).
fof(f1213,plain,
( spl50_85
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X1 = X2
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_85])]) ).
fof(f659,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X1 = X2
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0,X1,X2,X3] :
( ( sP2(X0,X1,X2,X3)
| ( ( X0 != X1
| X2 != X3 )
& ( X1 != X2
| X0 != X3 ) ) )
& ( ( X0 = X1
& X2 = X3 )
| ( X1 = X2
& X0 = X3 )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f447]) ).
fof(f447,plain,
! [X2,X1,X3,X0] :
( ( sP2(X2,X1,X3,X0)
| ( ( X1 != X2
| X0 != X3 )
& ( X1 != X3
| X0 != X2 ) ) )
& ( ( X1 = X2
& X0 = X3 )
| ( X1 = X3
& X0 = X2 )
| ~ sP2(X2,X1,X3,X0) ) ),
inference(flattening,[],[f446]) ).
fof(f446,plain,
! [X2,X1,X3,X0] :
( ( sP2(X2,X1,X3,X0)
| ( ( X1 != X2
| X0 != X3 )
& ( X1 != X3
| X0 != X2 ) ) )
& ( ( X1 = X2
& X0 = X3 )
| ( X1 = X3
& X0 = X2 )
| ~ sP2(X2,X1,X3,X0) ) ),
inference(nnf_transformation,[],[f356]) ).
fof(f1211,plain,
spl50_84,
inference(avatar_split_clause,[],[f658,f1209]) ).
fof(f1209,plain,
( spl50_84
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X0 = X3
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_84])]) ).
fof(f658,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X3
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f1207,plain,
spl50_83,
inference(avatar_split_clause,[],[f657,f1205]) ).
fof(f1205,plain,
( spl50_83
<=> ! [X2,X0,X1,X3] :
( X2 = X3
| X1 = X2
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_83])]) ).
fof(f657,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| X1 = X2
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f1203,plain,
spl50_82,
inference(avatar_split_clause,[],[f656,f1201]) ).
fof(f1201,plain,
( spl50_82
<=> ! [X0,X3,X2,X1] :
( X2 = X3
| X0 = X3
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_82])]) ).
fof(f656,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| X0 = X3
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f1199,plain,
spl50_81,
inference(avatar_split_clause,[],[f605,f1197]) ).
fof(f1197,plain,
( spl50_81
<=> ! [X2,X0,X1] :
( hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X0),X0) = X0
| ~ hBOOL(finite1948426435iple_a(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_81])]) ).
fof(f605,plain,
! [X2,X0,X1] :
( hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X0),X0) = X0
| ~ hBOOL(finite1948426435iple_a(X1,X2)) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2] :
( hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X0),X0) = X0
| ~ hBOOL(finite1948426435iple_a(X1,X2)) ),
inference(ennf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( hBOOL(finite1948426435iple_a(X1,X2))
=> hAPP_H401672213iple_a(hAPP_H568064713iple_a(X1,X0),X0) = X0 ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X27,X46,X47] :
( hBOOL(finite1948426435iple_a(X46,X47))
=> hAPP_H401672213iple_a(hAPP_H568064713iple_a(X46,X27),X27) = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1195,plain,
spl50_80,
inference(avatar_split_clause,[],[f484,f1193]) ).
fof(f484,plain,
! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),sK6(X0)))
| bot_bo1687970473a_bool = X0 ),
inference(cnf_transformation,[],[f365]) ).
fof(f1166,plain,
spl50_79,
inference(avatar_split_clause,[],[f720,f1164]) ).
fof(f720,plain,
! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,skip,X1)))),
inference(forward_demodulation,[],[f519,f712]) ).
fof(f519,plain,
! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,skip,X1)),bot_bo1687970473a_bool))),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,skip,X1)),bot_bo1687970473a_bool))),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X2,X12] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,skip,X12)),bot_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1162,plain,
spl50_78,
inference(avatar_split_clause,[],[f645,f1160]) ).
fof(f1160,plain,
( spl50_78
<=> ! [X2,X0,X1,X3] :
( X1 = X3
| semi(X0,X1) != semi(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_78])]) ).
fof(f645,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| semi(X0,X1) != semi(X2,X3) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0,X1,X2,X3] :
( ( semi(X0,X1) = semi(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| semi(X0,X1) != semi(X2,X3) ) ),
inference(flattening,[],[f438]) ).
fof(f438,plain,
! [X0,X1,X2,X3] :
( ( semi(X0,X1) = semi(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| semi(X0,X1) != semi(X2,X3) ) ),
inference(nnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1,X2,X3] :
( semi(X0,X1) = semi(X2,X3)
<=> ( X1 = X3
& X0 = X2 ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X39,X40,X41,X42] :
( semi(X39,X40) = semi(X41,X42)
<=> ( X40 = X42
& X39 = X41 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1158,plain,
spl50_77,
inference(avatar_split_clause,[],[f644,f1156]) ).
fof(f1156,plain,
( spl50_77
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| semi(X0,X1) != semi(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_77])]) ).
fof(f644,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| semi(X0,X1) != semi(X2,X3) ),
inference(cnf_transformation,[],[f439]) ).
fof(f1154,plain,
spl50_76,
inference(avatar_split_clause,[],[f614,f1152]) ).
fof(f614,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2)) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2)) ),
inference(ennf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2))
=> X1 = X2 ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X46,X48,X27] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,bot_bo1687970473a_bool),X27))
=> X27 = X48 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1150,plain,
spl50_75,
inference(avatar_split_clause,[],[f575,f1148]) ).
fof(f575,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) ),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
| ~ hBOOL(hAPP_H1927961489a_bool(X1,X0)) )
& ( hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1))
<=> hBOOL(hAPP_H1927961489a_bool(X1,X0)) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X27,X24] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X27),X24))
<=> hBOOL(hAPP_H1927961489a_bool(X24,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1146,plain,
( spl50_74
| ~ spl50_34
| ~ spl50_61 ),
inference(avatar_split_clause,[],[f1098,f1084,f936,f1144]) ).
fof(f1144,plain,
( spl50_74
<=> ! [X0] : bot_bo1687970473a_bool != hAPP_H562195827a_bool(fequal1878252616iple_a,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_74])]) ).
fof(f936,plain,
( spl50_34
<=> ! [X0,X1] : bot_bo1687970473a_bool != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f1098,plain,
( ! [X0] : bot_bo1687970473a_bool != hAPP_H562195827a_bool(fequal1878252616iple_a,X0)
| ~ spl50_34
| ~ spl50_61 ),
inference(superposition,[],[f937,f1085]) ).
fof(f937,plain,
( ! [X0,X1] : bot_bo1687970473a_bool != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1)
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1142,plain,
spl50_73,
inference(avatar_split_clause,[],[f574,f1140]) ).
fof(f574,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(X1,X0))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1138,plain,
spl50_72,
inference(avatar_split_clause,[],[f550,f1136]) ).
fof(f550,plain,
! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1134,plain,
spl50_71,
inference(avatar_split_clause,[],[f537,f1132]) ).
fof(f1132,plain,
( spl50_71
<=> ! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_71])]) ).
fof(f537,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1)) ),
inference(rectify,[],[f117]) ).
fof(f117,axiom,
! [X56,X57] :
( hBOOL(X57)
| ~ hBOOL(X56)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X56),X57)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1130,plain,
spl50_70,
inference(avatar_split_clause,[],[f536,f1128]) ).
fof(f1128,plain,
( spl50_70
<=> ! [X0,X1] :
( hBOOL(X1)
| hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_70])]) ).
fof(f536,plain,
! [X0,X1] :
( hBOOL(X1)
| hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1)) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( hBOOL(X1)
| hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1)) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X56,X57] :
( hBOOL(X57)
| hBOOL(X56)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X56),X57)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1126,plain,
spl50_69,
inference(avatar_split_clause,[],[f528,f1124]) ).
fof(f1124,plain,
( spl50_69
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_69])]) ).
fof(f528,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X57,X56] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X56),X57))
| ~ hBOOL(X57)
| ~ hBOOL(X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1122,plain,
spl50_68,
inference(avatar_split_clause,[],[f518,f1120]) ).
fof(f518,plain,
! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1))),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X22,X25] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X25))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1118,plain,
spl50_67,
inference(avatar_split_clause,[],[f516,f1116]) ).
fof(f516,plain,
! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),X1) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,finite388748825iple_a(X0,X1)),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),X1) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,finite388748825iple_a(X0,X1)),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X46,X24] : hAPP_f1826273671iple_a(finite233325225iple_a(X46),X24) = hAPP_f1826273671iple_a(the_Ho1745054714iple_a,finite388748825iple_a(X46,X24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1114,plain,
spl50_66,
inference(avatar_split_clause,[],[f503,f1112]) ).
fof(f503,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0))
| bot_bo1687970473a_bool = X0 ),
inference(cnf_transformation,[],[f389]) ).
fof(f389,plain,
! [X0] :
( ( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0))
| bot_bo1687970473a_bool = X0 )
& ( bot_bo1687970473a_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f387,f388]) ).
fof(f388,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f387,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| bot_bo1687970473a_bool = X0 )
& ( bot_bo1687970473a_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X0)) ) ),
inference(rectify,[],[f386]) ).
fof(f386,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| bot_bo1687970473a_bool = X0 )
& ( bot_bo1687970473a_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0)) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
<=> bot_bo1687970473a_bool != X0 ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X24] :
( ? [X26] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X24))
<=> bot_bo1687970473a_bool != X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1110,plain,
spl50_65,
inference(avatar_split_clause,[],[f500,f1108]) ).
fof(f500,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0)) ),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| bot_bo1687970473a_bool != X0 )
& ( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f383,f384]) ).
fof(f384,plain,
! [X0] :
( ? [X2] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X0))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f383,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| bot_bo1687970473a_bool != X0 )
& ( bot_bo1687970473a_bool = X0
| ? [X2] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X2),X0)) ) ),
inference(rectify,[],[f382]) ).
fof(f382,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
| bot_bo1687970473a_bool != X0 )
& ( bot_bo1687970473a_bool = X0
| ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0)) ) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
<=> bot_bo1687970473a_bool = X0 ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X24] :
( ! [X26] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X26),X24))
<=> bot_bo1687970473a_bool = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1106,plain,
spl50_64,
inference(avatar_split_clause,[],[f480,f1104]) ).
fof(f480,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0)) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f280,f358]) ).
fof(f358,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
=> hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| ? [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0)) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X1),X0))
=> bot_bo1687970473a_bool = X0 ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X24] :
( ! [X43] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X43),X24))
=> bot_bo1687970473a_bool = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1102,plain,
( spl50_63
| ~ spl50_24
| ~ spl50_49 ),
inference(avatar_split_clause,[],[f1047,f1000,f891,f1100]) ).
fof(f891,plain,
( spl50_24
<=> ! [X0,X1] : ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,bot_bo1687970473a_bool),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_24])]) ).
fof(f1047,plain,
( ! [X0] : bot_bo1687970473a_bool = finite388748825iple_a(X0,bot_bo1687970473a_bool)
| ~ spl50_24
| ~ spl50_49 ),
inference(resolution,[],[f1001,f892]) ).
fof(f892,plain,
( ! [X0,X1] : ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,bot_bo1687970473a_bool),X1))
| ~ spl50_24 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1090,plain,
spl50_62,
inference(avatar_split_clause,[],[f714,f1088]) ).
fof(f1086,plain,
spl50_61,
inference(avatar_split_clause,[],[f712,f1084]) ).
fof(f1082,plain,
spl50_60,
inference(avatar_split_clause,[],[f542,f1080]) ).
fof(f542,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1)) ),
inference(rectify,[],[f131]) ).
fof(f131,axiom,
! [X58,X59] :
( X58 = X59
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X58),X59)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1078,plain,
spl50_59,
inference(avatar_split_clause,[],[f541,f1076]) ).
fof(f541,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1)) ),
inference(rectify,[],[f126]) ).
fof(f126,axiom,
! [X58,X59] :
( X58 = X59
| ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X58),X59)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1072,plain,
spl50_58,
inference(avatar_split_clause,[],[f540,f1070]) ).
fof(f1070,plain,
( spl50_58
<=> ! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_58])]) ).
fof(f540,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X0),X1)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X0),X1)) ),
inference(rectify,[],[f118]) ).
fof(f118,axiom,
! [X58,X59] :
( X58 = X59
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X58),X59)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1068,plain,
spl50_57,
inference(avatar_split_clause,[],[f504,f1066]) ).
fof(f504,plain,
! [X0] : hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0,
inference(cnf_transformation,[],[f391]) ).
fof(f391,plain,
! [X0] : hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f282,f390]) ).
fof(f390,plain,
! [X0] :
( ? [X1,X2,X3] : hoare_1050552211iple_a(X1,X2,X3) = X0
=> hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0] :
? [X1,X2,X3] : hoare_1050552211iple_a(X1,X2,X3) = X0,
inference(ennf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
~ ! [X1,X2,X3] : hoare_1050552211iple_a(X1,X2,X3) != X0,
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X28] :
~ ! [X32,X33,X34] : hoare_1050552211iple_a(X32,X33,X34) != X28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1063,plain,
spl50_56,
inference(avatar_split_clause,[],[f473,f1061]) ).
fof(f1061,plain,
( spl50_56
<=> ! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_56])]) ).
fof(f473,plain,
! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)) = X0,
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X0)) = X0,
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X22] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),X22)) = X22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1059,plain,
( spl50_55
| ~ spl50_54 ),
inference(avatar_split_clause,[],[f1055,f1052,f1057]) ).
fof(f1057,plain,
( spl50_55
<=> ! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_55])]) ).
fof(f1052,plain,
( spl50_54
<=> ! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_54])]) ).
fof(f1055,plain,
( ! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0
| ~ spl50_54 ),
inference(forward_demodulation,[],[f1053,f712]) ).
fof(f1053,plain,
( ! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0
| ~ spl50_54 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1054,plain,
spl50_54,
inference(avatar_split_clause,[],[f472,f1052]) ).
fof(f472,plain,
! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0,
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X27] : hAPP_f1826273671iple_a(the_el287271400iple_a,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X27),bot_bo1687970473a_bool)) = X27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1046,plain,
( spl50_53
| ~ spl50_1
| ~ spl50_19
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1042,f992,f870,f790,f1044]) ).
fof(f1042,plain,
( ! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_1
| ~ spl50_19
| ~ spl50_47 ),
inference(forward_demodulation,[],[f1036,f872]) ).
fof(f1036,plain,
( ! [X0] : fFalse = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fFalse),X0)
| ~ spl50_1
| ~ spl50_47 ),
inference(resolution,[],[f993,f792]) ).
fof(f1014,plain,
spl50_52,
inference(avatar_split_clause,[],[f755,f1012]) ).
fof(f755,plain,
! [X2,X0] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X2)),X2)),
inference(forward_demodulation,[],[f696,f712]) ).
fof(f696,plain,
! [X2,X0] : hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),bot_bo1687970473a_bool)),X2)),
inference(equality_resolution,[],[f628]) ).
fof(f628,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)),X2))
| X1 != X2 ),
inference(cnf_transformation,[],[f428]) ).
fof(f1010,plain,
spl50_51,
inference(avatar_split_clause,[],[f719,f1008]) ).
fof(f1008,plain,
( spl50_51
<=> ! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_51])]) ).
fof(f719,plain,
! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X1)) = X1,
inference(forward_demodulation,[],[f517,f712]) ).
fof(f517,plain,
! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = X1,
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] : hAPP_f1826273671iple_a(finite233325225iple_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool)) = X1,
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X46,X22] : hAPP_f1826273671iple_a(finite233325225iple_a(X46),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool)) = X22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1006,plain,
spl50_50,
inference(avatar_split_clause,[],[f717,f1004]) ).
fof(f717,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0))) ),
inference(forward_demodulation,[],[f489,f467]) ).
fof(f489,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0))) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f371,f372]) ).
fof(f372,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0))) ),
introduced(choice_axiom,[]) ).
fof(f371,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(rectify,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(nnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
<=> ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X12] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X12)
<=> ! [X26] : ~ hBOOL(hAPP_H1927961489a_bool(X12,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1002,plain,
spl50_49,
inference(avatar_split_clause,[],[f715,f1000]) ).
fof(f715,plain,
! [X0] :
( bot_bo1687970473a_bool = X0
| hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0))) ),
inference(forward_demodulation,[],[f487,f467]) ).
fof(f487,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0))) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f367,f368]) ).
fof(f368,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0))) ),
introduced(choice_axiom,[]) ).
fof(f367,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(rectify,[],[f366]) ).
fof(f366,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
<=> ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X12] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X12)
<=> ! [X26] : ~ hBOOL(hAPP_H1927961489a_bool(X12,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f998,plain,
spl50_48,
inference(avatar_split_clause,[],[f695,f996]) ).
fof(f695,plain,
! [X2,X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X2),X1),X2)),
inference(equality_resolution,[],[f625]) ).
fof(f625,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),X2))
| X0 != X2 ),
inference(cnf_transformation,[],[f427]) ).
fof(f994,plain,
spl50_47,
inference(avatar_split_clause,[],[f545,f992]) ).
fof(f545,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0 ),
inference(rectify,[],[f129]) ).
fof(f129,axiom,
! [X56,X57] :
( is_bool(X56)
=> hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X56),X57) = X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f990,plain,
spl50_46,
inference(avatar_split_clause,[],[f544,f988]) ).
fof(f544,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X56,X57] :
( is_bool(X56)
=> hAPP_state_bool(cOMBK_bool_state(X56),X57) = X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f986,plain,
spl50_45,
inference(avatar_split_clause,[],[f539,f984]) ).
fof(f984,plain,
( spl50_45
<=> ! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_45])]) ).
fof(f539,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X56,X57] :
( hBOOL(X57)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X56),X57)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f982,plain,
spl50_44,
inference(avatar_split_clause,[],[f538,f980]) ).
fof(f980,plain,
( spl50_44
<=> ! [X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_44])]) ).
fof(f538,plain,
! [X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X56,X57] :
( hBOOL(X56)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X56),X57)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f978,plain,
( ~ spl50_21
| ~ spl50_23 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl50_21
| ~ spl50_23 ),
inference(resolution,[],[f880,f888]) ).
fof(f888,plain,
( ! [X0] : hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ spl50_23 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl50_23
<=> ! [X0] : hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_23])]) ).
fof(f976,plain,
( spl50_21
| ~ spl50_38 ),
inference(avatar_split_clause,[],[f955,f952,f879]) ).
fof(f952,plain,
( spl50_38
<=> ! [X2,X0] :
( bot_bo1687970473a_bool != X0
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_38])]) ).
fof(f955,plain,
( ! [X0] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ spl50_38 ),
inference(equality_resolution,[],[f953]) ).
fof(f953,plain,
( ! [X2,X0] :
( bot_bo1687970473a_bool != X0
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X2)) )
| ~ spl50_38 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f975,plain,
spl50_43,
inference(avatar_split_clause,[],[f532,f973]) ).
fof(f973,plain,
( spl50_43
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X0))
| hBOOL(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_43])]) ).
fof(f532,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X0))
| hBOOL(X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X0))
| hBOOL(X1) ),
inference(rectify,[],[f115]) ).
fof(f115,axiom,
! [X57,X56] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X56),X57))
| hBOOL(X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f971,plain,
spl50_42,
inference(avatar_split_clause,[],[f531,f969]) ).
fof(f969,plain,
( spl50_42
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_42])]) ).
fof(f531,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X1) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X56,X57] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X56),X57))
| ~ hBOOL(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f967,plain,
spl50_41,
inference(avatar_split_clause,[],[f530,f965]) ).
fof(f965,plain,
( spl50_41
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| ~ hBOOL(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_41])]) ).
fof(f530,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| ~ hBOOL(X1) ),
inference(rectify,[],[f111]) ).
fof(f111,axiom,
! [X56,X57] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X56),X57))
| ~ hBOOL(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f963,plain,
spl50_40,
inference(avatar_split_clause,[],[f529,f961]) ).
fof(f961,plain,
( spl50_40
<=> ! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X0))
| ~ hBOOL(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_40])]) ).
fof(f529,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X0))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X0))
| ~ hBOOL(X1) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X57,X56] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X56),X57))
| ~ hBOOL(X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f959,plain,
spl50_39,
inference(avatar_split_clause,[],[f479,f957]) ).
fof(f479,plain,
! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ),
inference(flattening,[],[f278]) ).
fof(f278,plain,
! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( is_bool(X0)
=> ( fFalse = X0
| fTrue = X0 ) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X56] :
( is_bool(X56)
=> ( fFalse = X56
| fTrue = X56 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f954,plain,
spl50_38,
inference(avatar_split_clause,[],[f716,f952]) ).
fof(f716,plain,
! [X2,X0] :
( bot_bo1687970473a_bool != X0
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X2)) ),
inference(forward_demodulation,[],[f486,f467]) ).
fof(f486,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f950,plain,
spl50_37,
inference(avatar_split_clause,[],[f551,f948]) ).
fof(f551,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f946,plain,
spl50_36,
inference(avatar_split_clause,[],[f548,f944]) ).
fof(f548,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f942,plain,
spl50_35,
inference(avatar_split_clause,[],[f515,f940]) ).
fof(f515,plain,
! [X0,X1] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X1)),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X1)),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X46,X48] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X46,X48,bot_bo1687970473a_bool),X48)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f938,plain,
spl50_34,
inference(avatar_split_clause,[],[f513,f936]) ).
fof(f513,plain,
! [X0,X1] : bot_bo1687970473a_bool != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] : bot_bo1687970473a_bool != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),X1),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X22,X24] : bot_bo1687970473a_bool != hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f934,plain,
spl50_33,
inference(avatar_split_clause,[],[f471,f932]) ).
fof(f932,plain,
( spl50_33
<=> ! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_33])]) ).
fof(f471,plain,
! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0,
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = X0,
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X27] : hAPP_f1826273671iple_a(the_Ho1745054714iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,X27)) = X27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f930,plain,
( ~ spl50_32
| spl50_31 ),
inference(avatar_split_clause,[],[f925,f921,f927]) ).
fof(f921,plain,
( spl50_31
<=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_31])]) ).
fof(f925,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| spl50_31 ),
inference(forward_demodulation,[],[f923,f712]) ).
fof(f923,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool)))
| spl50_31 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f924,plain,
~ spl50_31,
inference(avatar_split_clause,[],[f459,f921]) ).
fof(f459,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(flattening,[],[f145]) ).
fof(f145,negated_conjecture,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(negated_conjecture,[],[f144]) ).
fof(f144,conjecture,
hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f918,plain,
spl50_30,
inference(avatar_split_clause,[],[f686,f916]) ).
fof(f916,plain,
( spl50_30
<=> ! [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f686,plain,
! [X1] : hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X1),X1)),
inference(equality_resolution,[],[f535]) ).
fof(f535,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f132]) ).
fof(f132,axiom,
! [X58,X59] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X58),X59))
| X58 != X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f914,plain,
spl50_29,
inference(avatar_split_clause,[],[f685,f912]) ).
fof(f685,plain,
! [X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1)),
inference(equality_resolution,[],[f534]) ).
fof(f534,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X58,X59] :
( hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X58),X59))
| X58 != X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f909,plain,
spl50_28,
inference(avatar_split_clause,[],[f684,f907]) ).
fof(f684,plain,
! [X1] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X1)),
inference(equality_resolution,[],[f533]) ).
fof(f533,plain,
! [X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f119]) ).
fof(f119,axiom,
! [X58,X59] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X58),X59))
| X58 != X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f905,plain,
spl50_27,
inference(avatar_split_clause,[],[f549,f903]) ).
fof(f903,plain,
( spl50_27
<=> ! [X0] :
( bot_bo1687970473a_bool != sK17(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_27])]) ).
fof(f549,plain,
! [X0] :
( bot_bo1687970473a_bool != sK17(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f901,plain,
spl50_26,
inference(avatar_split_clause,[],[f543,f899]) ).
fof(f543,plain,
! [X0,X1] :
( is_bool(hAPP_bool_bool(X0,X1))
| ~ is_bool(X1) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X1] :
( is_bool(hAPP_bool_bool(X0,X1))
| ~ is_bool(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( is_bool(X1)
=> is_bool(hAPP_bool_bool(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f897,plain,
spl50_25,
inference(avatar_split_clause,[],[f512,f895]) ).
fof(f512,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X56,X57] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X56),X57) = X56,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f893,plain,
spl50_24,
inference(avatar_split_clause,[],[f511,f891]) ).
fof(f511,plain,
! [X0,X1] : ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,bot_bo1687970473a_bool),X1)),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] : ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,bot_bo1687970473a_bool),X1)),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X46,X27] : ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X46,bot_bo1687970473a_bool),X27)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f889,plain,
( ~ spl50_22
| spl50_23 ),
inference(avatar_split_clause,[],[f491,f887,f882]) ).
fof(f491,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ hBOOL(bot_bot_bool) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0] :
( ( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ hBOOL(bot_bot_bool) )
& ( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
<=> hBOOL(bot_bot_bool) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X27] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X27))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f885,plain,
( spl50_21
| spl50_22 ),
inference(avatar_split_clause,[],[f490,f882,f879]) ).
fof(f490,plain,
! [X0] :
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)) ),
inference(cnf_transformation,[],[f374]) ).
fof(f877,plain,
spl50_20,
inference(avatar_split_clause,[],[f478,f875]) ).
fof(f875,plain,
( spl50_20
<=> ! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_20])]) ).
fof(f478,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X56] :
( ~ hBOOL(X56)
| ~ hBOOL(hAPP_bool_bool(fNot,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f873,plain,
( spl50_19
| ~ spl50_7
| ~ spl50_12 ),
inference(avatar_split_clause,[],[f859,f839,f819,f870]) ).
fof(f839,plain,
( spl50_12
<=> bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_12])]) ).
fof(f859,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse)
| ~ spl50_7
| ~ spl50_12 ),
inference(superposition,[],[f841,f820]) ).
fof(f841,plain,
( bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse))
| ~ spl50_12 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f868,plain,
spl50_18,
inference(avatar_split_clause,[],[f477,f866]) ).
fof(f866,plain,
( spl50_18
<=> ! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_18])]) ).
fof(f477,plain,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X56] :
( hBOOL(hAPP_bool_bool(fNot,X56))
| hBOOL(X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f864,plain,
spl50_17,
inference(avatar_split_clause,[],[f469,f862]) ).
fof(f862,plain,
( spl50_17
<=> ! [X0] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),bot_bo1687970473a_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_17])]) ).
fof(f469,plain,
! [X0] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),bot_bo1687970473a_bool)),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),bot_bo1687970473a_bool)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X22] : ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X22),bot_bo1687970473a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f858,plain,
spl50_16,
inference(avatar_split_clause,[],[f707,f856]) ).
fof(f856,plain,
( spl50_16
<=> ! [X2,X3] : sP2(X3,X2,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_16])]) ).
fof(f707,plain,
! [X2,X3] : sP2(X3,X2,X2,X3),
inference(equality_resolution,[],[f706]) ).
fof(f706,plain,
! [X2,X3,X0] :
( sP2(X0,X2,X2,X3)
| X0 != X3 ),
inference(equality_resolution,[],[f660]) ).
fof(f660,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2,X3)
| X1 != X2
| X0 != X3 ),
inference(cnf_transformation,[],[f448]) ).
fof(f854,plain,
spl50_15,
inference(avatar_split_clause,[],[f705,f852]) ).
fof(f852,plain,
( spl50_15
<=> ! [X1,X3] : sP2(X1,X1,X3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_15])]) ).
fof(f705,plain,
! [X3,X1] : sP2(X1,X1,X3,X3),
inference(equality_resolution,[],[f704]) ).
fof(f704,plain,
! [X2,X3,X1] :
( sP2(X1,X1,X2,X3)
| X2 != X3 ),
inference(equality_resolution,[],[f661]) ).
fof(f661,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2,X3)
| X0 != X1
| X2 != X3 ),
inference(cnf_transformation,[],[f448]) ).
fof(f850,plain,
spl50_14,
inference(avatar_split_clause,[],[f509,f848]) ).
fof(f848,plain,
( spl50_14
<=> ! [X0,X1] : skip != semi(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_14])]) ).
fof(f509,plain,
! [X0,X1] : skip != semi(X0,X1),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] : skip != semi(X0,X1),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X36,X37] : skip != semi(X36,X37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f846,plain,
spl50_13,
inference(avatar_split_clause,[],[f468,f844]) ).
fof(f468,plain,
! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool)),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),bot_bo1687970473a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f842,plain,
spl50_12,
inference(avatar_split_clause,[],[f466,f839]) ).
fof(f466,plain,
bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f837,plain,
spl50_11,
inference(avatar_split_clause,[],[f508,f835]) ).
fof(f508,plain,
! [X0,X1] : is_bool(hAPP_H1927961489a_bool(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : is_bool(hAPP_H1927961489a_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f833,plain,
spl50_10,
inference(avatar_split_clause,[],[f507,f831]) ).
fof(f507,plain,
! [X0,X1] : is_bool(hAPP_state_bool(X0,X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : is_bool(hAPP_state_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f829,plain,
spl50_9,
inference(avatar_split_clause,[],[f506,f827]) ).
fof(f506,plain,
! [X0,X1] : is_bool(finite520909254iple_a(X0,X1)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : is_bool(finite520909254iple_a(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f825,plain,
spl50_8,
inference(avatar_split_clause,[],[f505,f823]) ).
fof(f505,plain,
! [X0,X1] : is_bool(finite1948426435iple_a(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : is_bool(finite1948426435iple_a(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f821,plain,
spl50_7,
inference(avatar_split_clause,[],[f467,f819]) ).
fof(f817,plain,
spl50_6,
inference(avatar_split_clause,[],[f465,f814]) ).
fof(f465,plain,
hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f812,plain,
spl50_5,
inference(avatar_split_clause,[],[f461,f810]) ).
fof(f461,plain,
! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f808,plain,
spl50_4,
inference(avatar_split_clause,[],[f464,f805]) ).
fof(f464,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f803,plain,
spl50_3,
inference(avatar_split_clause,[],[f463,f800]) ).
fof(f463,plain,
is_bool(fTrue),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f798,plain,
~ spl50_2,
inference(avatar_split_clause,[],[f462,f795]) ).
fof(f795,plain,
( spl50_2
<=> hBOOL(fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f462,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f793,plain,
spl50_1,
inference(avatar_split_clause,[],[f460,f790]) ).
fof(f460,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW470+1 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 06:17:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4374)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4372)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4376)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4373)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.43 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (4375)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.43 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (4378)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.43 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (4377)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.48 % (4378)Instruction limit reached!
% 0.21/0.48 % (4378)------------------------------
% 0.21/0.48 % (4378)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (4378)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (4378)Termination reason: Time limit
% 0.21/0.48 % (4378)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (4378)Memory used [KB]: 2629
% 0.21/0.48 % (4378)Time elapsed: 0.055 s
% 0.21/0.48 % (4378)Instructions burned: 116 (million)
% 0.21/0.48 Cannot represent all propositional literals internally
% 0.21/0.48 % (4375)Refutation not found, incomplete strategy% (4375)------------------------------
% 0.21/0.48 % (4375)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (4375)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (4375)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48 % (4375)Memory used [KB]: 2985
% 0.21/0.48 % (4375)Time elapsed: 0.055 s
% 0.21/0.48 % (4375)Instructions burned: 112 (million)
% 0.21/0.48 % (4375)------------------------------
% 0.21/0.48 % (4375)------------------------------
% 0.21/0.48 TRYING [1]
% 0.21/0.49 % (4376)Instruction limit reached!
% 0.21/0.49 % (4376)------------------------------
% 0.21/0.49 % (4376)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (4376)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (4376)Termination reason: Time limit
% 0.21/0.49 % (4376)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (4376)Memory used [KB]: 2200
% 0.21/0.49 % (4376)Time elapsed: 0.064 s
% 0.21/0.49 % (4376)Instructions burned: 104 (million)
% 0.21/0.49 TRYING [2]
% 0.21/0.50 % (4377)Instruction limit reached!
% 0.21/0.50 % (4377)------------------------------
% 0.21/0.50 % (4377)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (4377)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (4377)Termination reason: Time limit
% 0.21/0.50 % (4377)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (4377)Memory used [KB]: 2349
% 0.21/0.50 % (4377)Time elapsed: 0.072 s
% 0.21/0.50 % (4377)Instructions burned: 146 (million)
% 0.21/0.51 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (4379)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.52 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (4380)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.52 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (4381)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (4371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (4382)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.21/0.57 % (4380)Instruction limit reached!
% 0.21/0.57 % (4380)------------------------------
% 0.21/0.57 % (4380)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57 % (4380)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57 % (4380)Termination reason: Time limit
% 0.21/0.57 % (4380)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (4380)Memory used [KB]: 3174
% 0.21/0.57 % (4380)Time elapsed: 0.057 s
% 0.21/0.57 % (4380)Instructions burned: 178 (million)
% 1.83/0.61 % (4373)First to succeed.
% 1.83/0.61 % (4371)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.61 % (4383)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.83/0.62 % (4381)Instruction limit reached!
% 1.83/0.62 % (4381)------------------------------
% 1.83/0.62 % (4381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.62 % (4381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.62 % (4381)Termination reason: Time limit
% 1.83/0.62 % (4381)Termination phase: Saturation
% 1.83/0.62
% 1.83/0.62 % (4381)Memory used [KB]: 4446
% 1.83/0.62 % (4381)Time elapsed: 0.103 s
% 1.83/0.62 % (4381)Instructions burned: 270 (million)
% 1.95/0.63 % (4373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4371"
% 1.95/0.63 % (4371)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.63 % (4373)Refutation found. Thanks to Tanya!
% 1.95/0.63 % SZS status Theorem for theBenchmark
% 1.95/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.64 % (4373)------------------------------
% 1.95/0.64 % (4373)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.64 % (4373)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.64 % (4373)Termination reason: Refutation
% 1.95/0.64
% 1.95/0.64 % (4373)Memory used [KB]: 5104
% 1.95/0.64 % (4373)Time elapsed: 0.204 s
% 1.95/0.64 % (4373)Instructions burned: 466 (million)
% 1.95/0.64 % (4373)------------------------------
% 1.95/0.64 % (4373)------------------------------
% 1.95/0.64 % (4371)Success in time 0.264 s
%------------------------------------------------------------------------------