TSTP Solution File: SWW470+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 17:32:51 EDT 2024
% Result : Theorem 1.96s 0.65s
% Output : Refutation 2.12s
% 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(f6792,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,f1080,f1084,f1088,f1092,f1104,f1108,f1112,f1116,f1120,f1124,f1128,f1132,f1136,f1140,f1144,f1148,f1152,f1156,f1160,f1164,f1168,f1197,f1201,f1205,f1209,f1213,f1217,f1221,f1225,f1229,f1234,f1253,f1257,f1262,f1266,f1270,f1274,f1278,f1282,f1286,f1290,f1294,f1298,f1307,f1312,f1316,f1320,f1324,f1328,f1332,f1336,f1360,f1380,f1384,f1388,f1392,f1396,f1400,f1404,f1408,f1421,f1432,f1436,f1440,f1444,f1448,f1458,f1462,f1466,f1470,f1474,f1478,f1482,f1486,f1490,f1495,f1499,f1503,f1507,f1511,f1515,f1519,f1523,f1527,f1531,f1607,f1624,f1628,f1632,f1636,f1640,f1644,f1648,f1652,f1819,f1823,f1827,f1845,f1849,f1853,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1999,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2056,f2060,f2098,f2102,f2114,f2118,f2143,f2147,f2151,f2162,f2166,f2181,f2185,f2189,f2193,f2224,f2237,f2264,f2268,f2272,f2276,f2280,f2284,f2409,f2421,f2436,f2440,f2458,f2462,f2478,f2482,f2494,f2501,f2531,f2551,f2558,f2562,f2566,f2570,f2575,f2579,f2583,f2587,f2591,f2686,f2692,f2696,f2700,f2807,f2858,f2863,f2868,f2873,f2878,f2882,f2887,f2891,f2895,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2946,f2951,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3327,f3331,f3335,f3339,f3343,f3347,f3351,f3355,f3586,f3614,f3618,f3622,f3626,f3796,f3814,f3820,f3853,f3858,f3863,f3868,f3873,f3875,f3924,f3992,f4036,f4041,f4046,f4050,f4054,f4087,f4121,f4125,f4129,f4134,f4139,f4143,f4156,f4363,f4367,f4371,f4375,f4376,f4435,f4650,f4654,f4856,f4860,f4864,f4868,f5065,f5069,f5073,f5078,f5082,f5086,f5167,f5171,f5175,f5180,f5184,f5189,f5193,f5198,f5204,f5208,f5212,f5216,f5220,f5374,f5378,f5382,f5386,f5390,f5394,f5398,f5402,f5406,f5438,f5450,f5654,f5658,f5662,f5666,f5670,f5674,f5678,f5682,f5686,f5690,f5694,f5705,f5709,f5713,f5804,f5852,f5857,f5864,f5895,f5899,f5903,f5907,f5911,f5915,f5919,f5967,f6143,f6147,f6151,f6155,f6159,f6171,f6175,f6179,f6183,f6187,f6191,f6195,f6199,f6203,f6207,f6211,f6215,f6219,f6223,f6553,f6791]) ).
fof(f6791,plain,
( spl50_22
| spl50_32
| ~ spl50_89
| ~ spl50_102
| ~ spl50_360 ),
inference(avatar_split_clause,[],[f6726,f6197,f1300,f1232,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(f1232,plain,
( spl50_89
<=> ! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_89])]) ).
fof(f1300,plain,
( spl50_102
<=> bot_bot_bool = fFalse ),
introduced(avatar_definition,[new_symbols(naming,[spl50_102])]) ).
fof(f6197,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(f6726,plain,
( hBOOL(bot_bot_bool)
| spl50_32
| ~ spl50_89
| ~ spl50_102
| ~ spl50_360 ),
inference(forward_demodulation,[],[f6725,f1302]) ).
fof(f1302,plain,
( bot_bot_bool = fFalse
| ~ spl50_102 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f6725,plain,
( hBOOL(fFalse)
| spl50_32
| ~ spl50_89
| ~ spl50_360 ),
inference(forward_demodulation,[],[f6701,f1233]) ).
fof(f1233,plain,
( ! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0)
| ~ spl50_89 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f6701,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,[],[f6198,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(f6198,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,[],[f6197]) ).
fof(f6553,plain,
( spl50_367
| ~ spl50_154
| ~ spl50_231 ),
inference(avatar_split_clause,[],[f3063,f2880,f1817,f6551]) ).
fof(f6551,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(f1817,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(f2880,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(f3063,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,finite1948426435iple_a(X0,X1)))
| ~ spl50_154
| ~ spl50_231 ),
inference(superposition,[],[f1818,f2881]) ).
fof(f2881,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,[],[f2880]) ).
fof(f1818,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)))
| ~ spl50_154 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f6223,plain,
( spl50_366
| ~ spl50_79
| ~ spl50_198 ),
inference(avatar_split_clause,[],[f2414,f2282,f1166,f6221]) ).
fof(f6221,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(f1166,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(f2282,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(f2414,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,[],[f2283,f1167]) ).
fof(f1167,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,[],[f1166]) ).
fof(f2283,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,[],[f2282]) ).
fof(f6219,plain,
( spl50_365
| ~ spl50_79
| ~ spl50_197 ),
inference(avatar_split_clause,[],[f2410,f2278,f1166,f6217]) ).
fof(f6217,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(f2278,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(f2410,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,[],[f2279,f1167]) ).
fof(f2279,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,[],[f2278]) ).
fof(f6215,plain,
( spl50_364
| ~ spl50_79
| ~ spl50_196 ),
inference(avatar_split_clause,[],[f2402,f2274,f1166,f6213]) ).
fof(f6213,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(f2274,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(f2402,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,[],[f2275,f1167]) ).
fof(f2275,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,[],[f2274]) ).
fof(f6211,plain,
( spl50_363
| ~ spl50_154
| ~ spl50_230 ),
inference(avatar_split_clause,[],[f3057,f2876,f1817,f6209]) ).
fof(f6209,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(f2876,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(f3057,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,finite520909254iple_a(X0,X1)))
| ~ spl50_154
| ~ spl50_230 ),
inference(superposition,[],[f1818,f2877]) ).
fof(f2877,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,[],[f2876]) ).
fof(f6207,plain,
( spl50_362
| ~ spl50_79
| ~ spl50_195 ),
inference(avatar_split_clause,[],[f2393,f2270,f1166,f6205]) ).
fof(f6205,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(f2270,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(f2393,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,[],[f2271,f1167]) ).
fof(f2271,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,[],[f2270]) ).
fof(f6203,plain,
( spl50_361
| ~ spl50_25
| ~ spl50_184 ),
inference(avatar_split_clause,[],[f2156,f2149,f895,f6201]) ).
fof(f6201,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(f2149,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(f2156,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,[],[f2150,f896]) ).
fof(f896,plain,
( ! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f2150,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,[],[f2149]) ).
fof(f6199,plain,
( spl50_360
| ~ spl50_25
| ~ spl50_183 ),
inference(avatar_split_clause,[],[f2153,f2145,f895,f6197]) ).
fof(f2145,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(f2153,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,[],[f2146,f896]) ).
fof(f2146,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,[],[f2145]) ).
fof(f6195,plain,
( spl50_359
| ~ spl50_7
| ~ spl50_176 ),
inference(avatar_split_clause,[],[f2086,f2054,f819,f6193]) ).
fof(f6193,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(f2054,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(f2086,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,[],[f2055,f820]) ).
fof(f820,plain,
( ! [X0] : collec1266446174iple_a(X0) = X0
| ~ spl50_7 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f2055,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,[],[f2054]) ).
fof(f6191,plain,
( spl50_358
| ~ spl50_90
| ~ spl50_163 ),
inference(avatar_split_clause,[],[f1979,f1890,f1251,f6189]) ).
fof(f6189,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(f1251,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(f1890,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(f1979,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,[],[f1891,f1252]) ).
fof(f1252,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,[],[f1251]) ).
fof(f1891,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,[],[f1890]) ).
fof(f6187,plain,
( spl50_357
| ~ spl50_110
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1954,f1886,f1334,f6185]) ).
fof(f6185,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(f1334,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(f1886,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(f1954,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,[],[f1335,f1887]) ).
fof(f1887,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,[],[f1886]) ).
fof(f1335,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,[],[f1334]) ).
fof(f6183,plain,
( spl50_356
| ~ spl50_105
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1953,f1886,f1314,f6181]) ).
fof(f6181,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(f1314,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(f1953,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,[],[f1315,f1887]) ).
fof(f1315,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,[],[f1314]) ).
fof(f6179,plain,
( spl50_355
| ~ spl50_93
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1952,f1886,f1264,f6177]) ).
fof(f6177,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(f1264,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(f1952,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,[],[f1265,f1887]) ).
fof(f1265,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,[],[f1264]) ).
fof(f6175,plain,
( spl50_354
| ~ spl50_90
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1943,f1886,f1251,f6173]) ).
fof(f6173,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(f1943,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,[],[f1887,f1252]) ).
fof(f6171,plain,
( spl50_353
| ~ spl50_104
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1805,f1650,f1310,f6169]) ).
fof(f6169,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(f1310,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(f1650,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(f1805,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,[],[f1651,f1311]) ).
fof(f1311,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(X0,X1),X2))
| sK32(X0,X1,X2) = X2 )
| ~ spl50_104 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1651,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,[],[f1650]) ).
fof(f6159,plain,
( spl50_352
| ~ spl50_100
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1590,f1493,f1292,f6157]) ).
fof(f6157,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(f1292,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(f1493,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(f1590,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,[],[f1494,f1293]) ).
fof(f1293,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,[],[f1292]) ).
fof(f1494,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,[],[f1493]) ).
fof(f6155,plain,
( spl50_351
| ~ spl50_101
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1586,f1493,f1296,f6153]) ).
fof(f6153,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(f1296,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(f1586,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,[],[f1494,f1297]) ).
fof(f1297,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,[],[f1296]) ).
fof(f6151,plain,
( spl50_350
| ~ spl50_96
| ~ spl50_135 ),
inference(avatar_split_clause,[],[f1584,f1493,f1276,f6149]) ).
fof(f6149,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(f1276,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(f1584,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,[],[f1494,f1277]) ).
fof(f1277,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,[],[f1276]) ).
fof(f6147,plain,
( spl50_349
| ~ spl50_99
| ~ spl50_133 ),
inference(avatar_split_clause,[],[f1579,f1484,f1288,f6145]) ).
fof(f6145,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(f1288,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(f1484,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(f1579,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,[],[f1485,f1289]) ).
fof(f1289,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,[],[f1288]) ).
fof(f1485,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,[],[f1484]) ).
fof(f6143,plain,
( spl50_348
| ~ spl50_97
| ~ spl50_133 ),
inference(avatar_split_clause,[],[f1576,f1484,f1280,f6141]) ).
fof(f6141,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(f1280,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(f1576,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,[],[f1485,f1281]) ).
fof(f1281,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,[],[f1280]) ).
fof(f5967,plain,
( spl50_347
| ~ spl50_154
| ~ spl50_223 ),
inference(avatar_split_clause,[],[f2766,f2694,f1817,f5965]) ).
fof(f5965,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(f2694,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(f2766,plain,
( ! [X3,X0,X1] : is_bool(hAPP_bool_bool(X3,hAPP_f1753944735l_bool(X0,X1)))
| ~ spl50_154
| ~ spl50_223 ),
inference(superposition,[],[f1818,f2695]) ).
fof(f2695,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,[],[f2694]) ).
fof(f5919,plain,
( spl50_346
| ~ spl50_92
| ~ spl50_177 ),
inference(avatar_split_clause,[],[f2089,f2058,f1260,f5917]) ).
fof(f5917,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(f1260,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(f2058,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(f2089,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,[],[f2059,f1261]) ).
fof(f1261,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,[],[f1260]) ).
fof(f2059,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,[],[f2058]) ).
fof(f5915,plain,
( spl50_345
| ~ spl50_7
| ~ spl50_172 ),
inference(avatar_split_clause,[],[f2046,f2024,f819,f5913]) ).
fof(f5913,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(f2024,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(f2046,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,[],[f2025,f820]) ).
fof(f2025,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,[],[f2024]) ).
fof(f5911,plain,
( spl50_344
| ~ spl50_52
| ~ spl50_164 ),
inference(avatar_split_clause,[],[f1980,f1894,f1012,f5909]) ).
fof(f5909,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(f1894,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(f1980,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,[],[f1895,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(f1895,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,[],[f1894]) ).
fof(f5907,plain,
( spl50_343
| ~ spl50_50
| ~ spl50_161 ),
inference(avatar_split_clause,[],[f1916,f1882,f1004,f5905]) ).
fof(f5905,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(f1882,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(f1916,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,[],[f1883,f1005]) ).
fof(f1005,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK8(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_50 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1883,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,[],[f1882]) ).
fof(f5903,plain,
( spl50_342
| ~ spl50_49
| ~ spl50_161 ),
inference(avatar_split_clause,[],[f1915,f1882,f1000,f5901]) ).
fof(f5901,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(f1915,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,[],[f1883,f1001]) ).
fof(f1001,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK7(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_49 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f5899,plain,
( spl50_341
| ~ spl50_50
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1866,f1851,f1004,f5897]) ).
fof(f5897,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(f1851,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(f1866,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,[],[f1852,f1005]) ).
fof(f1852,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,[],[f1851]) ).
fof(f5895,plain,
( spl50_340
| ~ spl50_49
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1865,f1851,f1000,f5893]) ).
fof(f5893,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(f1865,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,[],[f1852,f1001]) ).
fof(f5864,plain,
( spl50_339
| ~ spl50_88
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1804,f1650,f1227,f5862]) ).
fof(f5862,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(f1227,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(f1804,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,[],[f1651,f1228]) ).
fof(f1228,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,[],[f1227]) ).
fof(f5857,plain,
( spl50_338
| ~ spl50_102
| ~ spl50_337 ),
inference(avatar_split_clause,[],[f5853,f5850,f1300,f5855]) ).
fof(f5855,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(f5850,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(f5853,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,[],[f5851,f1302]) ).
fof(f5851,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,[],[f5850]) ).
fof(f5852,plain,
( spl50_337
| spl50_32
| ~ spl50_193 ),
inference(avatar_split_clause,[],[f2312,f2262,f927,f5850]) ).
fof(f2262,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(f2312,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,[],[f2263,f929]) ).
fof(f2263,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,[],[f2262]) ).
fof(f5804,plain,
( spl50_336
| ~ spl50_145
| ~ spl50_296 ),
inference(avatar_split_clause,[],[f5245,f5075,f1605,f5802]) ).
fof(f5802,plain,
( spl50_336
<=> ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_336])]) ).
fof(f1605,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(f5075,plain,
( spl50_296
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_296])]) ).
fof(f5245,plain,
( ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_145
| ~ spl50_296 ),
inference(superposition,[],[f1606,f5077]) ).
fof(f5077,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool)
| ~ spl50_296 ),
inference(avatar_component_clause,[],[f5075]) ).
fof(f1606,plain,
( ! [X0] : bot_bot_bool = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(bot_bot_bool),X0)
| ~ spl50_145 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f5713,plain,
( spl50_335
| ~ spl50_75
| ~ spl50_168 ),
inference(avatar_split_clause,[],[f2041,f2008,f1150,f5711]) ).
fof(f5711,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(f1150,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(f2008,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(f2041,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,[],[f2009,f1151]) ).
fof(f1151,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,[],[f1150]) ).
fof(f2009,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,[],[f2008]) ).
fof(f5709,plain,
( spl50_334
| ~ spl50_52
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1858,f1851,f1012,f5707]) ).
fof(f5707,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(f1858,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,[],[f1852,f1013]) ).
fof(f5705,plain,
( spl50_333
| ~ spl50_48
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1856,f1851,f996,f5703]) ).
fof(f5703,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(f1856,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,[],[f1852,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(f5694,plain,
( spl50_332
| ~ spl50_76
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1806,f1650,f1154,f5692]) ).
fof(f5692,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(f1154,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(f1806,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,[],[f1651,f1155]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(X0,X1,bot_bo1687970473a_bool),X2))
| X1 = X2 )
| ~ spl50_76 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f5690,plain,
( spl50_331
| ~ spl50_36
| ~ spl50_148 ),
inference(avatar_split_clause,[],[f1720,f1630,f944,f5688]) ).
fof(f5688,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(f1630,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(f1720,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,[],[f1631,f945]) ).
fof(f945,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_36 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1631,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,[],[f1630]) ).
fof(f5686,plain,
( spl50_330
| ~ spl50_125
| ~ spl50_139 ),
inference(avatar_split_clause,[],[f1620,f1509,f1446,f5684]) ).
fof(f5684,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(f1446,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(f1509,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(f1620,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,[],[f1510,f1447]) ).
fof(f1447,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,[],[f1446]) ).
fof(f1510,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,[],[f1509]) ).
fof(f5682,plain,
( spl50_329
| ~ spl50_50
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1612,f1505,f1004,f5680]) ).
fof(f5680,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(f1505,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(f1612,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,[],[f1506,f1005]) ).
fof(f1506,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,[],[f1505]) ).
fof(f5678,plain,
( spl50_328
| ~ spl50_49
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1611,f1505,f1000,f5676]) ).
fof(f5676,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(f1611,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,[],[f1506,f1001]) ).
fof(f5674,plain,
( spl50_327
| ~ spl50_88
| ~ spl50_128 ),
inference(avatar_split_clause,[],[f1542,f1464,f1227,f5672]) ).
fof(f5672,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(f1464,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(f1542,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,[],[f1465,f1228]) ).
fof(f1465,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,[],[f1464]) ).
fof(f5670,plain,
( spl50_326
| ~ spl50_50
| ~ spl50_119 ),
inference(avatar_split_clause,[],[f1428,f1406,f1004,f5668]) ).
fof(f5668,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(f1406,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(f1428,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,f1407]) ).
fof(f1407,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,[],[f1406]) ).
fof(f5666,plain,
( spl50_325
| ~ spl50_49
| ~ spl50_119 ),
inference(avatar_split_clause,[],[f1427,f1406,f1000,f5664]) ).
fof(f5664,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(f1427,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,f1407]) ).
fof(f5662,plain,
( spl50_324
| ~ spl50_50
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1425,f1402,f1004,f5660]) ).
fof(f5660,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(f1402,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(f1425,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,f1403]) ).
fof(f1403,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,[],[f1402]) ).
fof(f5658,plain,
( spl50_323
| ~ spl50_49
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1424,f1402,f1000,f5656]) ).
fof(f5656,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(f1424,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,f1403]) ).
fof(f5654,plain,
( spl50_252
| ~ spl50_102
| ~ spl50_187 ),
inference(avatar_split_clause,[],[f4530,f2179,f1300,f3320]) ).
fof(f3320,plain,
( spl50_252
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,bot_bot_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_252])]) ).
fof(f2179,plain,
( spl50_187
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_187])]) ).
fof(f4530,plain,
( ! [X0] : is_bool(hAPP_bool_bool(X0,bot_bot_bool))
| ~ spl50_102
| ~ spl50_187 ),
inference(superposition,[],[f2180,f1302]) ).
fof(f2180,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse))
| ~ spl50_187 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f5450,plain,
( spl50_322
| ~ spl50_102
| ~ spl50_265 ),
inference(avatar_split_clause,[],[f5445,f3812,f1300,f5448]) ).
fof(f5448,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(f3812,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(f5445,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,[],[f3813,f1302]) ).
fof(f3813,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| fFalse = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_265 ),
inference(avatar_component_clause,[],[f3812]) ).
fof(f5438,plain,
( spl50_321
| ~ spl50_4
| ~ spl50_266 ),
inference(avatar_split_clause,[],[f3823,f3818,f805,f5436]) ).
fof(f5436,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(f3818,plain,
( spl50_266
<=> ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_266])]) ).
fof(f3823,plain,
( ! [X0] : fTrue = hAPP_bool_bool(X0,bot_bot_bool)
| ~ spl50_4
| ~ spl50_266 ),
inference(resolution,[],[f3819,f807]) ).
fof(f807,plain,
( is_bool(bot_bot_bool)
| ~ spl50_4 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f3819,plain,
( ! [X0,X1] :
( ~ is_bool(X1)
| fTrue = hAPP_bool_bool(X0,X1) )
| ~ spl50_266 ),
inference(avatar_component_clause,[],[f3818]) ).
fof(f5406,plain,
( spl50_320
| ~ spl50_75
| ~ spl50_165 ),
inference(avatar_split_clause,[],[f2000,f1898,f1150,f5404]) ).
fof(f5404,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(f1898,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(f2000,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,[],[f1899,f1151]) ).
fof(f1899,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,[],[f1898]) ).
fof(f5402,plain,
( spl50_319
| ~ spl50_75
| ~ spl50_163 ),
inference(avatar_split_clause,[],[f1974,f1890,f1150,f5400]) ).
fof(f5400,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(f1974,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,[],[f1891,f1151]) ).
fof(f5398,plain,
( spl50_318
| ~ spl50_35
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1857,f1851,f940,f5396]) ).
fof(f5396,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(f1857,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,[],[f1852,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(f5394,plain,
( spl50_317
| ~ spl50_59
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1802,f1650,f1078,f5392]) ).
fof(f5392,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(f1078,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(f1802,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,[],[f1651,f1079]) ).
fof(f1079,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X0),X1))
| X0 = X1 )
| ~ spl50_59 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f5390,plain,
( spl50_316
| ~ spl50_68
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1574,f1480,f1122,f5388]) ).
fof(f5388,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(f1122,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(f1480,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(f1574,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,[],[f1481,f1123]) ).
fof(f1123,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,[],[f1122]) ).
fof(f1481,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,[],[f1480]) ).
fof(f5386,plain,
( spl50_315
| ~ spl50_68
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1568,f1476,f1122,f5384]) ).
fof(f5384,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(f1476,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(f1568,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,[],[f1477,f1123]) ).
fof(f1477,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,[],[f1476]) ).
fof(f5382,plain,
( spl50_314
| ~ spl50_104
| ~ spl50_128 ),
inference(avatar_split_clause,[],[f1543,f1464,f1310,f5380]) ).
fof(f5380,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(f1543,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,[],[f1465,f1311]) ).
fof(f5378,plain,
( spl50_313
| ~ spl50_50
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1354,f1310,f1004,f5376]) ).
fof(f5376,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(f1354,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,[],[f1311,f1005]) ).
fof(f5374,plain,
( spl50_312
| ~ spl50_49
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1353,f1310,f1000,f5372]) ).
fof(f5372,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(f1353,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,[],[f1311,f1001]) ).
fof(f5220,plain,
( spl50_311
| ~ spl50_29
| ~ spl50_159 ),
inference(avatar_split_clause,[],[f1855,f1851,f912,f5218]) ).
fof(f5218,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(f1855,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,[],[f1852,f913]) ).
fof(f913,plain,
( ! [X1] : hBOOL(hAPP_H1927961489a_bool(hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1))
| ~ spl50_29 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f5216,plain,
( spl50_310
| ~ spl50_75
| ~ spl50_158 ),
inference(avatar_split_clause,[],[f1854,f1847,f1150,f5214]) ).
fof(f5214,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(f1847,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(f1854,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,[],[f1848,f1151]) ).
fof(f1848,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,[],[f1847]) ).
fof(f5212,plain,
( spl50_309
| ~ spl50_36
| ~ spl50_156 ),
inference(avatar_split_clause,[],[f1840,f1825,f944,f5210]) ).
fof(f5210,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(f1825,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(f1840,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,[],[f1826,f945]) ).
fof(f1826,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,[],[f1825]) ).
fof(f5208,plain,
( spl50_308
| ~ spl50_36
| ~ spl50_155 ),
inference(avatar_split_clause,[],[f1833,f1821,f944,f5206]) ).
fof(f5206,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(f1821,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(f1833,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,[],[f1822,f945]) ).
fof(f1822,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,[],[f1821]) ).
fof(f5204,plain,
( spl50_307
| ~ spl50_90
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1799,f1646,f1251,f5202]) ).
fof(f5202,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(f1646,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(f1799,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,[],[f1647,f1252]) ).
fof(f1647,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,[],[f1646]) ).
fof(f5198,plain,
( spl50_306
| ~ spl50_111
| ~ spl50_261
| ~ spl50_305 ),
inference(avatar_split_clause,[],[f5194,f5191,f3612,f1357,f5196]) ).
fof(f5196,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(f1357,plain,
( spl50_111
<=> hBOOL(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_111])]) ).
fof(f3612,plain,
( spl50_261
<=> ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_261])]) ).
fof(f5191,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(f5194,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,[],[f5192,f3613]) ).
fof(f3613,plain,
( ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue
| ~ spl50_261 ),
inference(avatar_component_clause,[],[f3612]) ).
fof(f5192,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,[],[f5191]) ).
fof(f5193,plain,
( spl50_305
| ~ spl50_36
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1789,f1642,f944,f5191]) ).
fof(f1642,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(f1789,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,[],[f1643,f945]) ).
fof(f1643,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,[],[f1642]) ).
fof(f5189,plain,
( spl50_304
| ~ spl50_90
| ~ spl50_137 ),
inference(avatar_split_clause,[],[f1603,f1501,f1251,f5187]) ).
fof(f5187,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(f1501,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(f1603,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,[],[f1502,f1252]) ).
fof(f1502,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,[],[f1501]) ).
fof(f5184,plain,
( spl50_303
| ~ spl50_50
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1351,f1296,f1004,f5182]) ).
fof(f5182,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(f1351,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,f1297]) ).
fof(f5180,plain,
( spl50_302
| ~ spl50_37
| ~ spl50_282 ),
inference(avatar_split_clause,[],[f4852,f4137,f948,f5178]) ).
fof(f5178,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(f4137,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(f4852,plain,
( ! [X0] : ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0))
| ~ spl50_37
| ~ spl50_282 ),
inference(duplicate_literal_removal,[],[f4848]) ).
fof(f4848,plain,
( ! [X0] :
( ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0))
| ~ sP0(hAPP_H1926610125l_bool(member564727580iple_a,X0)) )
| ~ spl50_37
| ~ spl50_282 ),
inference(resolution,[],[f4138,f949]) ).
fof(f949,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(X0,sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f4138,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,[],[f4137]) ).
fof(f5175,plain,
( spl50_301
| ~ spl50_49
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1350,f1296,f1000,f5173]) ).
fof(f5173,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(f1350,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,f1297]) ).
fof(f5171,plain,
( spl50_300
| ~ spl50_50
| ~ spl50_100 ),
inference(avatar_split_clause,[],[f1348,f1292,f1004,f5169]) ).
fof(f5169,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(f1348,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,f1293]) ).
fof(f5167,plain,
( spl50_299
| ~ spl50_49
| ~ spl50_100 ),
inference(avatar_split_clause,[],[f1347,f1292,f1000,f5165]) ).
fof(f5165,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(f1347,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,f1293]) ).
fof(f5086,plain,
( spl50_298
| ~ spl50_61
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1967,f1886,f1086,f5084]) ).
fof(f5084,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(f1086,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(f1967,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,[],[f1939,f1087]) ).
fof(f1087,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,[],[f1086]) ).
fof(f1939,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,[],[f1887,f1087]) ).
fof(f5082,plain,
( spl50_297
| ~ spl50_125
| ~ spl50_138 ),
inference(avatar_split_clause,[],[f1614,f1505,f1446,f5080]) ).
fof(f5080,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(f1614,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,[],[f1506,f1447]) ).
fof(f5078,plain,
( spl50_296
| ~ spl50_19
| ~ spl50_102 ),
inference(avatar_split_clause,[],[f2814,f1300,f870,f5075]) ).
fof(f870,plain,
( spl50_19
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_19])]) ).
fof(f2814,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(bot_bot_bool)
| ~ spl50_19
| ~ spl50_102 ),
inference(superposition,[],[f872,f1302]) ).
fof(f872,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse)
| ~ spl50_19 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f5073,plain,
( spl50_295
| ~ spl50_37
| ~ spl50_136 ),
inference(avatar_split_clause,[],[f1595,f1497,f948,f5071]) ).
fof(f5071,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(f1497,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(f1595,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,[],[f1498,f949]) ).
fof(f1498,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,[],[f1497]) ).
fof(f5069,plain,
( spl50_294
| ~ spl50_50
| ~ spl50_88 ),
inference(avatar_split_clause,[],[f1249,f1227,f1004,f5067]) ).
fof(f5067,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(f1249,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,[],[f1228,f1005]) ).
fof(f5065,plain,
( spl50_293
| ~ spl50_49
| ~ spl50_88 ),
inference(avatar_split_clause,[],[f1248,f1227,f1000,f5063]) ).
fof(f5063,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(f1248,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,[],[f1228,f1001]) ).
fof(f4868,plain,
( spl50_292
| ~ spl50_68
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1951,f1886,f1122,f4866]) ).
fof(f4866,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(f1951,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,[],[f1123,f1887]) ).
fof(f4864,plain,
( spl50_291
| ~ spl50_73
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1795,f1646,f1142,f4862]) ).
fof(f4862,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(f1142,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(f1795,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,[],[f1647,f1143]) ).
fof(f1143,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,[],[f1142]) ).
fof(f4860,plain,
( spl50_290
| ~ spl50_66
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1572,f1480,f1114,f4858]) ).
fof(f4858,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(f1114,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(f1572,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,[],[f1481,f1115]) ).
fof(f1115,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK12(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f4856,plain,
( spl50_289
| ~ spl50_65
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1571,f1480,f1110,f4854]) ).
fof(f4854,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(f1110,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(f1571,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,[],[f1481,f1111]) ).
fof(f1111,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK11(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f4654,plain,
( spl50_288
| ~ spl50_102
| ~ spl50_229 ),
inference(avatar_split_clause,[],[f4444,f2871,f1300,f4652]) ).
fof(f4652,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(f2871,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(f4444,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2872,f1302]) ).
fof(f2872,plain,
( ! [X0,X1] :
( fFalse = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_229 ),
inference(avatar_component_clause,[],[f2871]) ).
fof(f4650,plain,
( spl50_287
| ~ spl50_102
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f2869,f2866,f1300,f4648]) ).
fof(f4648,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(f2866,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(f2869,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2867,f1302]) ).
fof(f2867,plain,
( ! [X0,X1] :
( fFalse = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_228 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f4435,plain,
( spl50_272
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(avatar_split_clause,[],[f4420,f3620,f2690,f1232,f3922]) ).
fof(f3922,plain,
( spl50_272
<=> ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_272])]) ).
fof(f2690,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(f3620,plain,
( spl50_263
<=> ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_263])]) ).
fof(f4420,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(duplicate_literal_removal,[],[f4419]) ).
fof(f4419,plain,
( ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_89
| ~ spl50_222
| ~ spl50_263 ),
inference(forward_demodulation,[],[f2691,f4022]) ).
fof(f4022,plain,
( fFalse = fTrue
| ~ spl50_89
| ~ spl50_263 ),
inference(superposition,[],[f1233,f3621]) ).
fof(f3621,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_263 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f2691,plain,
( ! [X0,X1] :
( fFalse = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_222 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f4376,plain,
( ~ spl50_111
| ~ spl50_123
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f4167,f3922,f1438,f1357]) ).
fof(f1438,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(f4167,plain,
( ~ hBOOL(fTrue)
| ~ spl50_123
| ~ spl50_272 ),
inference(duplicate_literal_removal,[],[f4166]) ).
fof(f4166,plain,
( ~ hBOOL(fTrue)
| ~ hBOOL(fTrue)
| ~ spl50_123
| ~ spl50_272 ),
inference(forward_demodulation,[],[f3968,f3923]) ).
fof(f3923,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_272 ),
inference(avatar_component_clause,[],[f3922]) ).
fof(f3968,plain,
( ! [X0,X1] :
( ~ hBOOL(fTrue)
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),X1)) )
| ~ spl50_123
| ~ spl50_272 ),
inference(superposition,[],[f1439,f3923]) ).
fof(f1439,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,[],[f1438]) ).
fof(f4375,plain,
( spl50_286
| ~ spl50_64
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1570,f1480,f1106,f4373]) ).
fof(f4373,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(f1106,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(f1570,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,[],[f1481,f1107]) ).
fof(f1107,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK3(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f4371,plain,
( spl50_285
| ~ spl50_66
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1566,f1476,f1114,f4369]) ).
fof(f4369,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(f1566,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,[],[f1477,f1115]) ).
fof(f4367,plain,
( spl50_284
| ~ spl50_65
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1565,f1476,f1110,f4365]) ).
fof(f4365,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(f1565,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,[],[f1477,f1111]) ).
fof(f4363,plain,
( spl50_283
| ~ spl50_64
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1564,f1476,f1106,f4361]) ).
fof(f4361,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(f1564,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,[],[f1477,f1107]) ).
fof(f4156,plain,
( ~ spl50_111
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(avatar_split_clause,[],[f4154,f4039,f3922,f2871,f1418,f1357]) ).
fof(f1418,plain,
( spl50_120
<=> fFalse = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_120])]) ).
fof(f4039,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(f4154,plain,
( ~ hBOOL(fTrue)
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(duplicate_literal_removal,[],[f4153]) ).
fof(f4153,plain,
( ~ hBOOL(fTrue)
| ~ hBOOL(fTrue)
| ~ spl50_120
| ~ spl50_229
| ~ spl50_272
| ~ spl50_274 ),
inference(forward_demodulation,[],[f4042,f3805]) ).
fof(f3805,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_120
| ~ spl50_229 ),
inference(trivial_inequality_removal,[],[f3804]) ).
fof(f3804,plain,
( ! [X0,X1] :
( fTrue != fTrue
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_120
| ~ spl50_229 ),
inference(forward_demodulation,[],[f3051,f1419]) ).
fof(f1419,plain,
( fFalse = fTrue
| ~ spl50_120 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f3051,plain,
( ! [X0,X1] :
( fFalse != fTrue
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_229 ),
inference(equality_factoring,[],[f2872]) ).
fof(f4042,plain,
( ! [X0,X1] :
( ~ hBOOL(fTrue)
| ~ hBOOL(hAPP_H1927961489a_bool(sK25(X0,X1),X0)) )
| ~ spl50_272
| ~ spl50_274 ),
inference(forward_demodulation,[],[f4040,f3923]) ).
fof(f4040,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,[],[f4039]) ).
fof(f4143,plain,
( ~ spl50_111
| spl50_211
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f3991,f3922,f2548,f1357]) ).
fof(f2548,plain,
( spl50_211
<=> hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_211])]) ).
fof(f3991,plain,
( ~ hBOOL(fTrue)
| spl50_211
| ~ spl50_272 ),
inference(superposition,[],[f2550,f3923]) ).
fof(f2550,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a)))
| spl50_211 ),
inference(avatar_component_clause,[],[f2548]) ).
fof(f4139,plain,
( spl50_282
| ~ spl50_92
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1796,f1646,f1260,f4137]) ).
fof(f1796,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,[],[f1647,f1261]) ).
fof(f4134,plain,
( spl50_281
| ~ spl50_75
| ~ spl50_132 ),
inference(avatar_split_clause,[],[f1573,f1480,f1150,f4132]) ).
fof(f4132,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(f1573,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,[],[f1481,f1151]) ).
fof(f4129,plain,
( spl50_280
| ~ spl50_75
| ~ spl50_131 ),
inference(avatar_split_clause,[],[f1567,f1476,f1150,f4127]) ).
fof(f4127,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(f1567,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,[],[f1477,f1151]) ).
fof(f4125,plain,
( spl50_279
| ~ spl50_50
| ~ spl50_76 ),
inference(avatar_split_clause,[],[f1191,f1154,f1004,f4123]) ).
fof(f4123,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(f1191,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,[],[f1155,f1005]) ).
fof(f4121,plain,
( spl50_278
| ~ spl50_49
| ~ spl50_76 ),
inference(avatar_split_clause,[],[f1190,f1154,f1000,f4119]) ).
fof(f4119,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(f1190,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,[],[f1155,f1001]) ).
fof(f4087,plain,
( spl50_111
| ~ spl50_13
| ~ spl50_272 ),
inference(avatar_split_clause,[],[f3933,f3922,f844,f1357]) ).
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(f3933,plain,
( hBOOL(fTrue)
| ~ spl50_13
| ~ spl50_272 ),
inference(superposition,[],[f845,f3923]) ).
fof(f845,plain,
( ! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool))
| ~ spl50_13 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f4054,plain,
( spl50_277
| ~ spl50_48
| ~ spl50_162 ),
inference(avatar_split_clause,[],[f1950,f1886,f996,f4052]) ).
fof(f4052,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(f1950,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,f1887]) ).
fof(f4050,plain,
( spl50_276
| ~ spl50_21
| ~ spl50_153 ),
inference(avatar_split_clause,[],[f1800,f1650,f879,f4048]) ).
fof(f4048,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(f1800,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,[],[f1651,f880]) ).
fof(f880,plain,
( ! [X0] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ spl50_21 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f4046,plain,
( spl50_275
| ~ spl50_61
| ~ spl50_124 ),
inference(avatar_split_clause,[],[f1451,f1442,f1086,f4044]) ).
fof(f4044,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(f1442,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(f1451,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,[],[f1443,f1087]) ).
fof(f1443,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,[],[f1442]) ).
fof(f4041,plain,
( spl50_274
| ~ spl50_75
| ~ spl50_123 ),
inference(avatar_split_clause,[],[f1450,f1438,f1150,f4039]) ).
fof(f1450,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,[],[f1439,f1151]) ).
fof(f4036,plain,
( spl50_273
| ~ spl50_75
| ~ spl50_122 ),
inference(avatar_split_clause,[],[f1449,f1434,f1150,f4034]) ).
fof(f4034,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(f1434,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(f1449,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,[],[f1435,f1151]) ).
fof(f1435,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,[],[f1434]) ).
fof(f3992,plain,
( spl50_263
| ~ spl50_102
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f3912,f2866,f1488,f1418,f1300,f3620]) ).
fof(f1488,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(f3912,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_102
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3911]) ).
fof(f3911,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,[],[f2869,f3908]) ).
fof(f3908,plain,
( bot_bot_bool = fTrue
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3907]) ).
fof(f3907,plain,
( bot_bot_bool = fTrue
| bot_bot_bool = fTrue
| ~ spl50_120
| ~ spl50_134
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2966,f1419]) ).
fof(f2966,plain,
( bot_bot_bool = fFalse
| bot_bot_bool = fTrue
| ~ spl50_134
| ~ spl50_228 ),
inference(superposition,[],[f2867,f1489]) ).
fof(f1489,plain,
( ! [X0] : bot_bot_bool = hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),X0)
| ~ spl50_134 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f3924,plain,
( spl50_272
| ~ spl50_120
| ~ spl50_222 ),
inference(avatar_split_clause,[],[f3905,f2690,f1418,f3922]) ).
fof(f3905,plain,
( ! [X0,X1] : fTrue = hAPP_f1753944735l_bool(X0,X1)
| ~ spl50_120
| ~ spl50_222 ),
inference(duplicate_literal_removal,[],[f3904]) ).
fof(f3904,plain,
( ! [X0,X1] :
( fTrue = hAPP_f1753944735l_bool(X0,X1)
| fTrue = hAPP_f1753944735l_bool(X0,X1) )
| ~ spl50_120
| ~ spl50_222 ),
inference(forward_demodulation,[],[f2691,f1419]) ).
fof(f3875,plain,
( spl50_111
| ~ spl50_28
| ~ spl50_263 ),
inference(avatar_split_clause,[],[f3745,f3620,f907,f1357]) ).
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(f3745,plain,
( hBOOL(fTrue)
| ~ spl50_28
| ~ spl50_263 ),
inference(superposition,[],[f908,f3621]) ).
fof(f908,plain,
( ! [X1] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X1))
| ~ spl50_28 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f3873,plain,
( spl50_271
| ~ spl50_90
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1376,f1334,f1251,f3871]) ).
fof(f3871,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(f1376,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,[],[f1335,f1252]) ).
fof(f3868,plain,
( spl50_270
| ~ spl50_90
| ~ spl50_105 ),
inference(avatar_split_clause,[],[f1362,f1314,f1251,f3866]) ).
fof(f3866,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(f1362,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,[],[f1315,f1252]) ).
fof(f3863,plain,
( spl50_269
| ~ spl50_90
| ~ spl50_93 ),
inference(avatar_split_clause,[],[f1344,f1264,f1251,f3861]) ).
fof(f3861,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(f1344,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,[],[f1265,f1252]) ).
fof(f3858,plain,
( spl50_268
| ~ spl50_26
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1039,f992,f899,f3856]) ).
fof(f3856,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(f3853,plain,
( spl50_267
| ~ spl50_26
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1030,f988,f899,f3851]) ).
fof(f3851,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(f3820,plain,
( spl50_266
| ~ spl50_120
| ~ spl50_265 ),
inference(avatar_split_clause,[],[f3816,f3812,f1418,f3818]) ).
fof(f3816,plain,
( ! [X0,X1] :
( fTrue = hAPP_bool_bool(X0,X1)
| ~ is_bool(X1) )
| ~ spl50_120
| ~ spl50_265 ),
inference(duplicate_literal_removal,[],[f3815]) ).
fof(f3815,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,[],[f3813,f1419]) ).
fof(f3814,plain,
( spl50_265
| ~ spl50_26
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1021,f957,f899,f3812]) ).
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(f3796,plain,
( spl50_111
| ~ spl50_48
| ~ spl50_262 ),
inference(avatar_split_clause,[],[f3667,f3616,f996,f1357]) ).
fof(f3616,plain,
( spl50_262
<=> ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_262])]) ).
fof(f3667,plain,
( hBOOL(fTrue)
| ~ spl50_48
| ~ spl50_262 ),
inference(superposition,[],[f997,f3617]) ).
fof(f3617,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_262 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f3626,plain,
( spl50_264
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(avatar_split_clause,[],[f3594,f2861,f1304,f1300,f3624]) ).
fof(f3624,plain,
( spl50_264
<=> ! [X0,X1] : finite1948426435iple_a(X0,X1) = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_264])]) ).
fof(f1304,plain,
( spl50_103
<=> bot_bot_bool = fTrue ),
introduced(avatar_definition,[new_symbols(naming,[spl50_103])]) ).
fof(f2861,plain,
( spl50_227
<=> ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fFalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_227])]) ).
fof(f3594,plain,
( ! [X0,X1] : finite1948426435iple_a(X0,X1) = fTrue
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(duplicate_literal_removal,[],[f3593]) ).
fof(f3593,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_227 ),
inference(forward_demodulation,[],[f2864,f1306]) ).
fof(f1306,plain,
( bot_bot_bool = fTrue
| ~ spl50_103 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f2864,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = bot_bot_bool
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_227 ),
inference(forward_demodulation,[],[f2862,f1302]) ).
fof(f2862,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fFalse
| finite1948426435iple_a(X0,X1) = fTrue )
| ~ spl50_227 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f3622,plain,
( spl50_263
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(avatar_split_clause,[],[f3592,f2866,f1304,f1300,f3620]) ).
fof(f3592,plain,
( ! [X0,X1] : fTrue = hAPP_state_bool(X0,X1)
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(duplicate_literal_removal,[],[f3591]) ).
fof(f3591,plain,
( ! [X0,X1] :
( fTrue = hAPP_state_bool(X0,X1)
| fTrue = hAPP_state_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_228 ),
inference(forward_demodulation,[],[f2869,f1306]) ).
fof(f3618,plain,
( spl50_262
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(avatar_split_clause,[],[f3590,f2871,f1304,f1300,f3616]) ).
fof(f3590,plain,
( ! [X0,X1] : fTrue = hAPP_H1927961489a_bool(X0,X1)
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(duplicate_literal_removal,[],[f3589]) ).
fof(f3589,plain,
( ! [X0,X1] :
( fTrue = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_103
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2874,f1306]) ).
fof(f2874,plain,
( ! [X0,X1] :
( bot_bot_bool = hAPP_H1927961489a_bool(X0,X1)
| fTrue = hAPP_H1927961489a_bool(X0,X1) )
| ~ spl50_102
| ~ spl50_229 ),
inference(forward_demodulation,[],[f2872,f1302]) ).
fof(f3614,plain,
( spl50_261
| ~ spl50_103
| ~ spl50_245 ),
inference(avatar_split_clause,[],[f3588,f2949,f1304,f3612]) ).
fof(f2949,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(f3588,plain,
( ! [X0,X1] : finite520909254iple_a(X0,X1) = fTrue
| ~ spl50_103
| ~ spl50_245 ),
inference(duplicate_literal_removal,[],[f3587]) ).
fof(f3587,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_103
| ~ spl50_245 ),
inference(forward_demodulation,[],[f2950,f1306]) ).
fof(f2950,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = bot_bot_bool
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_245 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f3586,plain,
( spl50_120
| ~ spl50_53
| ~ spl50_225 ),
inference(avatar_split_clause,[],[f3360,f2805,f1044,f1418]) ).
fof(f1044,plain,
( spl50_53
<=> ! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_53])]) ).
fof(f2805,plain,
( spl50_225
<=> ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_225])]) ).
fof(f3360,plain,
( fFalse = fTrue
| ~ spl50_53
| ~ spl50_225 ),
inference(superposition,[],[f2806,f1045]) ).
fof(f1045,plain,
( ! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_53 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f2806,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_225 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f3355,plain,
( spl50_260
| ~ spl50_6
| ~ spl50_63
| ~ spl50_67
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1791,f1642,f1118,f1102,f814,f3353]) ).
fof(f3353,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(f1102,plain,
( spl50_63
<=> ! [X0] : bot_bo1687970473a_bool = finite388748825iple_a(X0,bot_bo1687970473a_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_63])]) ).
fof(f1118,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(f1791,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,[],[f1784,f1174]) ).
fof(f1174,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,[],[f1119,f1103]) ).
fof(f1103,plain,
( ! [X0] : bot_bo1687970473a_bool = finite388748825iple_a(X0,bot_bo1687970473a_bool)
| ~ spl50_63 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1119,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,[],[f1118]) ).
fof(f1784,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,[],[f1643,f816]) ).
fof(f816,plain,
( hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool))
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f3351,plain,
( spl50_259
| ~ spl50_90
| ~ spl50_127 ),
inference(avatar_split_clause,[],[f1534,f1460,f1251,f3349]) ).
fof(f3349,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(f1460,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(f1534,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK5(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_90
| ~ spl50_127 ),
inference(superposition,[],[f1461,f1252]) ).
fof(f1461,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,[],[f1460]) ).
fof(f3347,plain,
( spl50_258
| ~ spl50_61
| ~ spl50_127 ),
inference(avatar_split_clause,[],[f1532,f1460,f1086,f3345]) ).
fof(f3345,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(f1532,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,[],[f1461,f1087]) ).
fof(f3343,plain,
( spl50_257
| ~ spl50_62
| ~ spl50_118 ),
inference(avatar_split_clause,[],[f1422,f1402,f1090,f3341]) ).
fof(f3341,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(f1090,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(f1422,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,[],[f1403,f1091]) ).
fof(f1091,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,[],[f1090]) ).
fof(f3339,plain,
( spl50_256
| ~ spl50_75
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1412,f1378,f1150,f3337]) ).
fof(f3337,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(f1378,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(f1412,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,[],[f1379,f1151]) ).
fof(f1379,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,[],[f1378]) ).
fof(f3335,plain,
( spl50_255
| ~ spl50_66
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1411,f1378,f1114,f3333]) ).
fof(f3333,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(f1411,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK12(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_112 ),
inference(resolution,[],[f1379,f1115]) ).
fof(f3331,plain,
( spl50_254
| ~ spl50_65
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1410,f1378,f1110,f3329]) ).
fof(f3329,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(f1410,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK11(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_112 ),
inference(resolution,[],[f1379,f1111]) ).
fof(f3327,plain,
( spl50_253
| ~ spl50_64
| ~ spl50_112 ),
inference(avatar_split_clause,[],[f1409,f1378,f1106,f3325]) ).
fof(f3325,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(f1409,plain,
( ! [X0] :
( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,sK3(X0)),X0) = X0
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_112 ),
inference(resolution,[],[f1379,f1107]) ).
fof(f3322,plain,
( spl50_252
| ~ spl50_145
| ~ spl50_160 ),
inference(avatar_split_clause,[],[f2822,f1878,f1605,f3320]) ).
fof(f1878,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(f2822,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,bot_bot_bool))
| ~ spl50_145
| ~ spl50_160 ),
inference(superposition,[],[f1879,f1606]) ).
fof(f1879,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)))
| ~ spl50_160 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f3318,plain,
( spl50_251
| ~ spl50_66
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1245,f1219,f1114,f3316]) ).
fof(f3316,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(f1219,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(f1245,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,[],[f1220,f1115]) ).
fof(f1220,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,[],[f1219]) ).
fof(f3314,plain,
( spl50_250
| ~ spl50_65
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1244,f1219,f1110,f3312]) ).
fof(f3312,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(f1244,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,[],[f1220,f1111]) ).
fof(f3310,plain,
( spl50_249
| ~ spl50_64
| ~ spl50_86 ),
inference(avatar_split_clause,[],[f1243,f1219,f1106,f3308]) ).
fof(f3308,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(f1243,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,[],[f1220,f1107]) ).
fof(f3306,plain,
( spl50_248
| ~ spl50_37
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1185,f1142,f948,f3304]) ).
fof(f3304,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(f1185,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,[],[f1143,f949]) ).
fof(f3302,plain,
( spl50_247
| ~ spl50_50
| ~ spl50_59 ),
inference(avatar_split_clause,[],[f1096,f1078,f1004,f3300]) ).
fof(f3300,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(f1096,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,[],[f1079,f1005]) ).
fof(f3298,plain,
( spl50_246
| ~ spl50_49
| ~ spl50_59 ),
inference(avatar_split_clause,[],[f1095,f1078,f1000,f3296]) ).
fof(f3296,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(f1095,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,[],[f1079,f1001]) ).
fof(f2951,plain,
( spl50_245
| ~ spl50_102
| ~ spl50_226 ),
inference(avatar_split_clause,[],[f2859,f2856,f1300,f2949]) ).
fof(f2856,plain,
( spl50_226
<=> ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fFalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_226])]) ).
fof(f2859,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = bot_bot_bool
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_102
| ~ spl50_226 ),
inference(forward_demodulation,[],[f2857,f1302]) ).
fof(f2857,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fFalse
| finite520909254iple_a(X0,X1) = fTrue )
| ~ spl50_226 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f2946,plain,
( spl50_244
| ~ spl50_6
| ~ spl50_76
| ~ spl50_125 ),
inference(avatar_split_clause,[],[f1454,f1446,f1154,f814,f2944]) ).
fof(f2944,plain,
( spl50_244
<=> ! [X0,X1] : sK27(X1,X0,bot_bo1687970473a_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_244])]) ).
fof(f1454,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,[],[f1447,f1155]) ).
fof(f2931,plain,
( ~ spl50_6
| spl50_243
| ~ spl50_61
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1375,f1334,f1086,f2929,f814]) ).
fof(f2929,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(f1375,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,[],[f1335,f1087]) ).
fof(f2927,plain,
( spl50_242
| ~ spl50_57
| ~ spl50_109 ),
inference(avatar_split_clause,[],[f1370,f1330,f1066,f2925]) ).
fof(f2925,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(f1330,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(f1370,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK15(X0) = X3 )
| ~ spl50_57
| ~ spl50_109 ),
inference(superposition,[],[f1331,f1067]) ).
fof(f1067,plain,
( ! [X0] : hoare_1050552211iple_a(sK13(X0),sK14(X0),sK15(X0)) = X0
| ~ spl50_57 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1331,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,[],[f1330]) ).
fof(f2923,plain,
( spl50_241
| ~ spl50_57
| ~ spl50_108 ),
inference(avatar_split_clause,[],[f1367,f1326,f1066,f2921]) ).
fof(f2921,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(f1326,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(f1367,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK14(X0) = X2 )
| ~ spl50_57
| ~ spl50_108 ),
inference(superposition,[],[f1327,f1067]) ).
fof(f1327,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,[],[f1326]) ).
fof(f2919,plain,
( spl50_240
| ~ spl50_57
| ~ spl50_107 ),
inference(avatar_split_clause,[],[f1364,f1322,f1066,f2917]) ).
fof(f2917,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(f1322,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(f1364,plain,
( ! [X2,X3,X0,X1] :
( hoare_1050552211iple_a(X1,X2,X3) != X0
| sK13(X0) = X1 )
| ~ spl50_57
| ~ spl50_107 ),
inference(superposition,[],[f1323,f1067]) ).
fof(f1323,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,[],[f1322]) ).
fof(f2915,plain,
( spl50_239
| ~ spl50_68
| ~ spl50_90 ),
inference(avatar_split_clause,[],[f1337,f1251,f1122,f2913]) ).
fof(f2913,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(f1337,plain,
( ! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK5(X0)),X0))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_68
| ~ spl50_90 ),
inference(superposition,[],[f1123,f1252]) ).
fof(f2911,plain,
( spl50_238
| ~ spl50_37
| ~ spl50_60 ),
inference(avatar_split_clause,[],[f1098,f1082,f948,f2909]) ).
fof(f2909,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(f1082,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(f1098,plain,
( ! [X0] :
( sK17(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) = X0
| ~ sP0(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0)) )
| ~ spl50_37
| ~ spl50_60 ),
inference(resolution,[],[f1083,f949]) ).
fof(f1083,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_f1945881407l_bool(fequal1765155200a_bool,X0),X1))
| X0 = X1 )
| ~ spl50_60 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f2907,plain,
( spl50_237
| ~ spl50_11
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1040,f992,f835,f2905]) ).
fof(f2905,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(f2903,plain,
( spl50_236
| ~ spl50_10
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1038,f992,f831,f2901]) ).
fof(f2901,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(f2899,plain,
( spl50_235
| ~ spl50_8
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1034,f992,f823,f2897]) ).
fof(f2897,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(f2895,plain,
( spl50_234
| ~ spl50_9
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1033,f992,f827,f2893]) ).
fof(f2893,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(f2891,plain,
( spl50_233
| ~ spl50_11
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1031,f988,f835,f2889]) ).
fof(f2889,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(f2887,plain,
( spl50_232
| ~ spl50_10
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1029,f988,f831,f2885]) ).
fof(f2885,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(f2882,plain,
( spl50_231
| ~ spl50_8
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1025,f988,f823,f2880]) ).
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(f2878,plain,
( spl50_230
| ~ spl50_9
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1024,f988,f827,f2876]) ).
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(f2873,plain,
( spl50_229
| ~ spl50_11
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1022,f957,f835,f2871]) ).
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(f2868,plain,
( spl50_228
| ~ spl50_10
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1020,f957,f831,f2866]) ).
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(f2863,plain,
( spl50_227
| ~ spl50_8
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1016,f957,f823,f2861]) ).
fof(f1016,plain,
( ! [X0,X1] :
( finite1948426435iple_a(X0,X1) = fTrue
| finite1948426435iple_a(X0,X1) = fFalse )
| ~ spl50_8
| ~ spl50_39 ),
inference(resolution,[],[f958,f824]) ).
fof(f2858,plain,
( spl50_226
| ~ spl50_9
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1015,f957,f827,f2856]) ).
fof(f1015,plain,
( ! [X0,X1] :
( finite520909254iple_a(X0,X1) = fTrue
| finite520909254iple_a(X0,X1) = fFalse )
| ~ spl50_9
| ~ spl50_39 ),
inference(resolution,[],[f958,f828]) ).
fof(f2807,plain,
( spl50_225
| ~ spl50_150
| ~ spl50_216 ),
inference(avatar_split_clause,[],[f2681,f2572,f1638,f2805]) ).
fof(f1638,plain,
( spl50_150
<=> ! [X0] : fTrue = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fTrue),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_150])]) ).
fof(f2572,plain,
( spl50_216
<=> bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_216])]) ).
fof(f2681,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ spl50_150
| ~ spl50_216 ),
inference(superposition,[],[f1639,f2574]) ).
fof(f2574,plain,
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue)
| ~ spl50_216 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f1639,plain,
( ! [X0] : fTrue = hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(fTrue),X0)
| ~ spl50_150 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f2700,plain,
( spl50_224
| ~ spl50_5
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1041,f992,f810,f2698]) ).
fof(f2698,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(f2696,plain,
( spl50_223
| ~ spl50_5
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1032,f988,f810,f2694]) ).
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(f2692,plain,
( spl50_222
| ~ spl50_5
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1023,f957,f810,f2690]) ).
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(f2686,plain,
( spl50_221
| ~ spl50_75
| ~ spl50_80 ),
inference(avatar_split_clause,[],[f1230,f1195,f1150,f2684]) ).
fof(f2684,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(f1195,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(f1230,plain,
( ! [X0] :
( bot_bo1687970473a_bool = X0
| ~ hBOOL(hAPP_H1927961489a_bool(sK6(X0),sK5(X0))) )
| ~ spl50_75
| ~ spl50_80 ),
inference(resolution,[],[f1196,f1151]) ).
fof(f1196,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,[],[f1195]) ).
fof(f2591,plain,
( spl50_220
| ~ spl50_76
| ~ spl50_106 ),
inference(avatar_split_clause,[],[f1363,f1318,f1154,f2589]) ).
fof(f2589,plain,
( spl50_220
<=> ! [X2,X0,X1] :
( ~ sP1(X0,X1,X2,bot_bo1687970473a_bool)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_220])]) ).
fof(f1318,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(f1363,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,X1,X2,bot_bo1687970473a_bool)
| X0 = X2 )
| ~ spl50_76
| ~ spl50_106 ),
inference(resolution,[],[f1319,f1155]) ).
fof(f1319,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,[],[f1318]) ).
fof(f2587,plain,
( spl50_219
| ~ spl50_52
| ~ spl50_104 ),
inference(avatar_split_clause,[],[f1352,f1310,f1012,f2585]) ).
fof(f2585,plain,
( spl50_219
<=> ! [X0,X1] : sK32(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_219])]) ).
fof(f1352,plain,
( ! [X0,X1] : sK32(X0,hAPP_H562195827a_bool(fequal1878252616iple_a,X1),X1) = X1
| ~ spl50_52
| ~ spl50_104 ),
inference(resolution,[],[f1311,f1013]) ).
fof(f2583,plain,
( spl50_218
| ~ spl50_48
| ~ spl50_90 ),
inference(avatar_split_clause,[],[f1338,f1251,f996,f2581]) ).
fof(f2581,plain,
( spl50_218
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_218])]) ).
fof(f1338,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_48
| ~ spl50_90 ),
inference(superposition,[],[f997,f1252]) ).
fof(f2579,plain,
( spl50_217
| ~ spl50_72
| ~ spl50_75 ),
inference(avatar_split_clause,[],[f1187,f1150,f1138,f2577]) ).
fof(f2577,plain,
( spl50_217
<=> ! [X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(sK17(X0),sK16(X0)))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_217])]) ).
fof(f1138,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(f1187,plain,
( ! [X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(sK17(X0),sK16(X0)))
| ~ sP0(X0) )
| ~ spl50_72
| ~ spl50_75 ),
inference(resolution,[],[f1151,f1139]) ).
fof(f1139,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
| ~ sP0(X0) )
| ~ spl50_72 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f2575,plain,
( spl50_216
| spl50_111
| ~ spl50_49
| ~ spl50_150 ),
inference(avatar_split_clause,[],[f2069,f1638,f1000,f1357,f2572]) ).
fof(f2069,plain,
( hBOOL(fTrue)
| bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fTrue)
| ~ spl50_49
| ~ spl50_150 ),
inference(superposition,[],[f1001,f1639]) ).
fof(f2570,plain,
( spl50_215
| ~ spl50_66
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1183,f1142,f1114,f2568]) ).
fof(f2568,plain,
( spl50_215
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK12(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_215])]) ).
fof(f1183,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK12(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_66
| ~ spl50_73 ),
inference(resolution,[],[f1143,f1115]) ).
fof(f2566,plain,
( spl50_214
| ~ spl50_65
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1182,f1142,f1110,f2564]) ).
fof(f2564,plain,
( spl50_214
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK11(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_214])]) ).
fof(f1182,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK11(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_65
| ~ spl50_73 ),
inference(resolution,[],[f1143,f1111]) ).
fof(f2562,plain,
( spl50_213
| ~ spl50_64
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1181,f1142,f1106,f2560]) ).
fof(f2560,plain,
( spl50_213
<=> ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK3(X0)))
| bot_bo1687970473a_bool = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_213])]) ).
fof(f1181,plain,
( ! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK3(X0)))
| bot_bo1687970473a_bool = X0 )
| ~ spl50_64
| ~ spl50_73 ),
inference(resolution,[],[f1143,f1107]) ).
fof(f2558,plain,
( spl50_212
| ~ spl50_61
| ~ spl50_68 ),
inference(avatar_split_clause,[],[f1172,f1122,f1086,f2556]) ).
fof(f2556,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(f1172,plain,
( ! [X0] : hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X0),hAPP_H562195827a_bool(fequal1878252616iple_a,X0)))
| ~ spl50_61
| ~ spl50_68 ),
inference(superposition,[],[f1123,f1087]) ).
fof(f2551,plain,
( ~ spl50_210
| ~ spl50_211
| ~ spl50_92
| ~ spl50_110 ),
inference(avatar_split_clause,[],[f1374,f1334,f1260,f2548,f2544]) ).
fof(f2544,plain,
( spl50_210
<=> sP0(finite506133020iple_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_210])]) ).
fof(f1374,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,sK17(finite506133020iple_a)))
| ~ sP0(finite506133020iple_a)
| ~ spl50_92
| ~ spl50_110 ),
inference(resolution,[],[f1335,f1261]) ).
fof(f2531,plain,
spl50_209,
inference(avatar_split_clause,[],[f763,f2529]) ).
fof(f2529,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/sandbox/benchmark/theBenchmark.p',fact_74_Collect__def) ).
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/sandbox/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).
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/sandbox/benchmark/theBenchmark.p',fact_60_conseq) ).
fof(f2501,plain,
spl50_208,
inference(avatar_split_clause,[],[f786,f2499]) ).
fof(f2499,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/sandbox/benchmark/theBenchmark.p',fact_8_conseq12) ).
fof(f2494,plain,
spl50_207,
inference(avatar_split_clause,[],[f753,f2492]) ).
fof(f2492,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/sandbox/benchmark/theBenchmark.p',fact_83_folding__one_Oclosed) ).
fof(f2482,plain,
spl50_206,
inference(avatar_split_clause,[],[f761,f2480]) ).
fof(f2480,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(f2478,plain,
spl50_205,
inference(avatar_split_clause,[],[f758,f2476]) ).
fof(f2476,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/sandbox/benchmark/theBenchmark.p',fact_5_escape) ).
fof(f2462,plain,
spl50_204,
inference(avatar_split_clause,[],[f788,f2460]) ).
fof(f2460,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(f2458,plain,
spl50_203,
inference(avatar_split_clause,[],[f784,f2456]) ).
fof(f2456,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(f2440,plain,
spl50_202,
inference(avatar_split_clause,[],[f782,f2438]) ).
fof(f2438,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/sandbox/benchmark/theBenchmark.p',fact_44_Comp) ).
fof(f2436,plain,
spl50_201,
inference(avatar_split_clause,[],[f634,f2434]) ).
fof(f2434,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/sandbox/benchmark/theBenchmark.p',fact_68_folding__one_Oinsert) ).
fof(f2421,plain,
spl50_200,
inference(avatar_split_clause,[],[f778,f2419]) ).
fof(f2419,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/sandbox/benchmark/theBenchmark.p',fact_4_constant) ).
fof(f2409,plain,
( spl50_199
| ~ spl50_144
| ~ spl50_154 ),
inference(avatar_split_clause,[],[f2135,f1817,f1529,f2407]) ).
fof(f2407,plain,
( spl50_199
<=> ! [X1] : is_bool(hAPP_bool_bool(X1,fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_199])]) ).
fof(f1529,plain,
( spl50_144
<=> ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_144])]) ).
fof(f2135,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fTrue))
| ~ spl50_144
| ~ spl50_154 ),
inference(superposition,[],[f1818,f1530]) ).
fof(f1530,plain,
( ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0)
| ~ spl50_144 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f2284,plain,
spl50_198,
inference(avatar_split_clause,[],[f776,f2282]) ).
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/sandbox/benchmark/theBenchmark.p',fact_6_conseq2) ).
fof(f2280,plain,
spl50_197,
inference(avatar_split_clause,[],[f774,f2278]) ).
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(f2276,plain,
spl50_196,
inference(avatar_split_clause,[],[f772,f2274]) ).
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/sandbox/benchmark/theBenchmark.p',fact_7_conseq1) ).
fof(f2272,plain,
spl50_195,
inference(avatar_split_clause,[],[f770,f2270]) ).
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(f2268,plain,
spl50_194,
inference(avatar_split_clause,[],[f750,f2266]) ).
fof(f2266,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/sandbox/benchmark/theBenchmark.p',fact_13_singleton__conv) ).
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/sandbox/benchmark/theBenchmark.p',fact_54_If__def) ).
fof(f2264,plain,
spl50_193,
inference(avatar_split_clause,[],[f748,f2262]) ).
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(f2237,plain,
spl50_192,
inference(avatar_split_clause,[],[f636,f2235]) ).
fof(f2235,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/sandbox/benchmark/theBenchmark.p',fact_84_insert__fold1SetE) ).
fof(f2224,plain,
spl50_191,
inference(avatar_split_clause,[],[f664,f2222]) ).
fof(f2222,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/sandbox/benchmark/theBenchmark.p',fact_78_fold__graph_OinsertI) ).
fof(f2193,plain,
spl50_190,
inference(avatar_split_clause,[],[f701,f2191]) ).
fof(f2191,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(f2189,plain,
spl50_189,
inference(avatar_split_clause,[],[f632,f2187]) ).
fof(f2187,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/sandbox/benchmark/theBenchmark.p',fact_91_folding__one__idem_Oinsert__idem) ).
fof(f2185,plain,
spl50_188,
inference(avatar_split_clause,[],[f610,f2183]) ).
fof(f2183,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/sandbox/benchmark/theBenchmark.p',fact_25_insert__ident) ).
fof(f2181,plain,
( spl50_187
| ~ spl50_89
| ~ spl50_154 ),
inference(avatar_split_clause,[],[f2134,f1817,f1232,f2179]) ).
fof(f2134,plain,
( ! [X1] : is_bool(hAPP_bool_bool(X1,fFalse))
| ~ spl50_89
| ~ spl50_154 ),
inference(superposition,[],[f1818,f1233]) ).
fof(f2166,plain,
spl50_186,
inference(avatar_split_clause,[],[f637,f2164]) ).
fof(f2164,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(f2162,plain,
spl50_185,
inference(avatar_split_clause,[],[f633,f2160]) ).
fof(f2160,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/sandbox/benchmark/theBenchmark.p',fact_94_folding__one__idem_Oin__idem) ).
fof(f2151,plain,
spl50_184,
inference(avatar_split_clause,[],[f764,f2149]) ).
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(f2147,plain,
spl50_183,
inference(avatar_split_clause,[],[f759,f2145]) ).
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(f2143,plain,
spl50_182,
inference(avatar_split_clause,[],[f638,f2141]) ).
fof(f2141,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(f2118,plain,
spl50_181,
inference(avatar_split_clause,[],[f779,f2116]) ).
fof(f2116,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(f2114,plain,
spl50_180,
inference(avatar_split_clause,[],[f694,f2112]) ).
fof(f2112,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/sandbox/benchmark/theBenchmark.p',fact_89_fold1Set_Osimps) ).
fof(f2102,plain,
spl50_179,
inference(avatar_split_clause,[],[f621,f2100]) ).
fof(f2100,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(f2098,plain,
spl50_178,
inference(avatar_split_clause,[],[f558,f2096]) ).
fof(f2096,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/sandbox/benchmark/theBenchmark.p',fact_86_finite__induct) ).
fof(f2060,plain,
spl50_177,
inference(avatar_split_clause,[],[f754,f2058]) ).
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/sandbox/benchmark/theBenchmark.p',fact_3_hoare__derivs_Oinsert) ).
fof(f2056,plain,
spl50_176,
inference(avatar_split_clause,[],[f721,f2054]) ).
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/sandbox/benchmark/theBenchmark.p',fact_31_insert__compr) ).
fof(f2038,plain,
spl50_175,
inference(avatar_split_clause,[],[f768,f2036]) ).
fof(f2036,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/sandbox/benchmark/theBenchmark.p',fact_36_doubleton__eq__iff) ).
fof(f2034,plain,
spl50_174,
inference(avatar_split_clause,[],[f766,f2032]) ).
fof(f2032,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(f2030,plain,
spl50_173,
inference(avatar_split_clause,[],[f733,f2028]) ).
fof(f2028,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/sandbox/benchmark/theBenchmark.p',fact_92_finite__ne__induct) ).
fof(f2026,plain,
spl50_172,
inference(avatar_split_clause,[],[f724,f2024]) ).
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/sandbox/benchmark/theBenchmark.p',fact_30_insert__Collect) ).
fof(f2022,plain,
spl50_171,
inference(avatar_split_clause,[],[f650,f2020]) ).
fof(f2020,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(f2018,plain,
spl50_170,
inference(avatar_split_clause,[],[f648,f2016]) ).
fof(f2016,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(f2014,plain,
spl50_169,
inference(avatar_split_clause,[],[f647,f2012]) ).
fof(f2012,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(f2010,plain,
spl50_168,
inference(avatar_split_clause,[],[f556,f2008]) ).
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(f1999,plain,
( spl50_167
| ~ spl50_10
| ~ spl50_116 ),
inference(avatar_split_clause,[],[f1415,f1394,f831,f1997]) ).
fof(f1997,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(f1394,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(f1415,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(hAPP_s58564346l_bool(X0,X2),X1))
| ~ spl50_10
| ~ spl50_116 ),
inference(superposition,[],[f832,f1395]) ).
fof(f1395,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,[],[f1394]) ).
fof(f1904,plain,
spl50_166,
inference(avatar_split_clause,[],[f742,f1902]) ).
fof(f1902,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/sandbox/benchmark/theBenchmark.p',fact_79_finite__Collect__disjI) ).
fof(f1900,plain,
spl50_165,
inference(avatar_split_clause,[],[f649,f1898]) ).
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(f1896,plain,
spl50_164,
inference(avatar_split_clause,[],[f619,f1894]) ).
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(f1892,plain,
spl50_163,
inference(avatar_split_clause,[],[f616,f1890]) ).
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/sandbox/benchmark/theBenchmark.p',fact_9_insertE) ).
fof(f1888,plain,
spl50_162,
inference(avatar_split_clause,[],[f600,f1886]) ).
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/sandbox/benchmark/theBenchmark.p',fact_28_insert__commute) ).
fof(f1884,plain,
spl50_161,
inference(avatar_split_clause,[],[f572,f1882]) ).
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/sandbox/benchmark/theBenchmark.p',fact_58_the1__equality) ).
fof(f1880,plain,
( spl50_160
| ~ spl50_11
| ~ spl50_101 ),
inference(avatar_split_clause,[],[f1349,f1296,f835,f1878]) ).
fof(f1349,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_H1927961489a_bool(X1,X2)))
| ~ spl50_11
| ~ spl50_101 ),
inference(superposition,[],[f836,f1297]) ).
fof(f1853,plain,
spl50_159,
inference(avatar_split_clause,[],[f727,f1851]) ).
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/sandbox/benchmark/theBenchmark.p',fact_14_Collect__conv__if2) ).
fof(f1849,plain,
spl50_158,
inference(avatar_split_clause,[],[f622,f1847]) ).
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(f1845,plain,
spl50_157,
inference(avatar_split_clause,[],[f573,f1843]) ).
fof(f1843,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(f1827,plain,
spl50_156,
inference(avatar_split_clause,[],[f557,f1825]) ).
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(f1823,plain,
spl50_155,
inference(avatar_split_clause,[],[f555,f1821]) ).
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(f1819,plain,
( spl50_154
| ~ spl50_10
| ~ spl50_99 ),
inference(avatar_split_clause,[],[f1345,f1288,f831,f1817]) ).
fof(f1345,plain,
( ! [X2,X0,X1] : is_bool(hAPP_bool_bool(X0,hAPP_state_bool(X1,X2)))
| ~ spl50_10
| ~ spl50_99 ),
inference(superposition,[],[f832,f1289]) ).
fof(f1652,plain,
spl50_153,
inference(avatar_split_clause,[],[f725,f1650]) ).
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(f1648,plain,
spl50_152,
inference(avatar_split_clause,[],[f612,f1646]) ).
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/sandbox/benchmark/theBenchmark.p',fact_24_insertI2) ).
fof(f1644,plain,
spl50_151,
inference(avatar_split_clause,[],[f607,f1642]) ).
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/sandbox/benchmark/theBenchmark.p',fact_75_folding__one_Oeq__fold) ).
fof(f1640,plain,
( spl50_150
| ~ spl50_3
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1037,f992,f800,f1638]) ).
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(f1636,plain,
spl50_149,
inference(avatar_split_clause,[],[f561,f1634]) ).
fof(f1634,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/sandbox/benchmark/theBenchmark.p',fact_57_theI) ).
fof(f1632,plain,
spl50_148,
inference(avatar_split_clause,[],[f496,f1630]) ).
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/sandbox/benchmark/theBenchmark.p',fact_87_finite_Osimps) ).
fof(f1628,plain,
spl50_147,
inference(avatar_split_clause,[],[f481,f1626]) ).
fof(f1626,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/sandbox/benchmark/theBenchmark.p',fact_59_theI_H) ).
fof(f1624,plain,
spl50_146,
inference(avatar_split_clause,[],[f476,f1622]) ).
fof(f1622,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/sandbox/benchmark/theBenchmark.p',fact_49_the__elem__def) ).
fof(f1607,plain,
( spl50_145
| ~ spl50_4
| ~ spl50_47 ),
inference(avatar_split_clause,[],[f1035,f992,f805,f1605]) ).
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(f1531,plain,
( spl50_144
| ~ spl50_3
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1028,f988,f800,f1529]) ).
fof(f1028,plain,
( ! [X0] : fTrue = hAPP_state_bool(cOMBK_bool_state(fTrue),X0)
| ~ spl50_3
| ~ spl50_46 ),
inference(resolution,[],[f989,f802]) ).
fof(f1527,plain,
spl50_143,
inference(avatar_split_clause,[],[f746,f1525]) ).
fof(f1525,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(f1523,plain,
spl50_142,
inference(avatar_split_clause,[],[f744,f1521]) ).
fof(f1521,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(f1519,plain,
spl50_141,
inference(avatar_split_clause,[],[f738,f1517]) ).
fof(f1517,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/sandbox/benchmark/theBenchmark.p',fact_70_finite__Collect__conjI) ).
fof(f1515,plain,
spl50_140,
inference(avatar_split_clause,[],[f736,f1513]) ).
fof(f1513,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(f1511,plain,
spl50_139,
inference(avatar_split_clause,[],[f653,f1509]) ).
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/sandbox/benchmark/theBenchmark.p',fact_90_fold__graph_Osimps) ).
fof(f1507,plain,
spl50_138,
inference(avatar_split_clause,[],[f652,f1505]) ).
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(f1503,plain,
spl50_137,
inference(avatar_split_clause,[],[f624,f1501]) ).
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/sandbox/benchmark/theBenchmark.p',fact_26_insert__code) ).
fof(f1499,plain,
spl50_136,
inference(avatar_split_clause,[],[f609,f1497]) ).
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/sandbox/benchmark/theBenchmark.p',fact_2_cut) ).
fof(f1495,plain,
spl50_135,
inference(avatar_split_clause,[],[f599,f1493]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_00) ).
fof(f1490,plain,
( spl50_134
| ~ spl50_4
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1026,f988,f805,f1488]) ).
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(f1486,plain,
spl50_133,
inference(avatar_split_clause,[],[f598,f1484]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(f1482,plain,
spl50_132,
inference(avatar_split_clause,[],[f566,f1480]) ).
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/sandbox/benchmark/theBenchmark.p',fact_50_mk__disjoint__insert) ).
fof(f1478,plain,
spl50_131,
inference(avatar_split_clause,[],[f564,f1476]) ).
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/sandbox/benchmark/theBenchmark.p',fact_46_Set_Oset__insert) ).
fof(f1474,plain,
spl50_130,
inference(avatar_split_clause,[],[f562,f1472]) ).
fof(f1472,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(f1470,plain,
spl50_129,
inference(avatar_split_clause,[],[f559,f1468]) ).
fof(f1468,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/sandbox/benchmark/theBenchmark.p',fact_56_the__equality) ).
fof(f1466,plain,
spl50_128,
inference(avatar_split_clause,[],[f554,f1464]) ).
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/sandbox/benchmark/theBenchmark.p',fact_85_finite__nonempty__imp__fold1Set) ).
fof(f1462,plain,
spl50_127,
inference(avatar_split_clause,[],[f520,f1460]) ).
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/sandbox/benchmark/theBenchmark.p',fact_29_insert__absorb2) ).
fof(f1458,plain,
spl50_126,
inference(avatar_split_clause,[],[f482,f1456]) ).
fof(f1456,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(f1448,plain,
spl50_125,
inference(avatar_split_clause,[],[f604,f1446]) ).
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/sandbox/benchmark/theBenchmark.p',fact_88_finite__imp__fold__graph) ).
fof(f1444,plain,
spl50_124,
inference(avatar_split_clause,[],[f569,f1442]) ).
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/sandbox/benchmark/theBenchmark.p',fact_34_singleton__inject) ).
fof(f1440,plain,
spl50_123,
inference(avatar_split_clause,[],[f567,f1438]) ).
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(f1436,plain,
spl50_122,
inference(avatar_split_clause,[],[f565,f1434]) ).
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(f1432,plain,
spl50_121,
inference(avatar_split_clause,[],[f560,f1430]) ).
fof(f1430,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(f1421,plain,
( ~ spl50_120
| spl50_102
| ~ spl50_103 ),
inference(avatar_split_clause,[],[f1308,f1304,f1300,f1418]) ).
fof(f1308,plain,
( fFalse != fTrue
| spl50_102
| ~ spl50_103 ),
inference(forward_demodulation,[],[f1301,f1306]) ).
fof(f1301,plain,
( bot_bot_bool != fFalse
| spl50_102 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1408,plain,
spl50_119,
inference(avatar_split_clause,[],[f597,f1406]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_00_002) ).
fof(f1404,plain,
spl50_118,
inference(avatar_split_clause,[],[f596,f1402]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_00) ).
fof(f1400,plain,
spl50_117,
inference(avatar_split_clause,[],[f595,f1398]) ).
fof(f1398,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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Com__Ostate_000tc__HOL__Obool_U) ).
fof(f1396,plain,
spl50_116,
inference(avatar_split_clause,[],[f594,f1394]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(f1392,plain,
spl50_115,
inference(avatar_split_clause,[],[f593,f1390]) ).
fof(f1390,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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_00_004) ).
fof(f1388,plain,
spl50_114,
inference(avatar_split_clause,[],[f592,f1386]) ).
fof(f1386,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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc) ).
fof(f1384,plain,
spl50_113,
inference(avatar_split_clause,[],[f591,f1382]) ).
fof(f1382,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/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000tc__HOL__Obool_000tc__fun_Itc__Com__Ostate_Mtc__) ).
fof(f1380,plain,
spl50_112,
inference(avatar_split_clause,[],[f563,f1378]) ).
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/sandbox/benchmark/theBenchmark.p',fact_23_insert__absorb) ).
fof(f1360,plain,
( ~ spl50_111
| spl50_22
| ~ spl50_103 ),
inference(avatar_split_clause,[],[f1341,f1304,f882,f1357]) ).
fof(f1341,plain,
( ~ hBOOL(fTrue)
| spl50_22
| ~ spl50_103 ),
inference(superposition,[],[f883,f1306]) ).
fof(f883,plain,
( ~ hBOOL(bot_bot_bool)
| spl50_22 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1336,plain,
spl50_110,
inference(avatar_split_clause,[],[f680,f1334]) ).
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(f1332,plain,
spl50_109,
inference(avatar_split_clause,[],[f677,f1330]) ).
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/sandbox/benchmark/theBenchmark.p',fact_1_triple_Oinject) ).
fof(f1328,plain,
spl50_108,
inference(avatar_split_clause,[],[f676,f1326]) ).
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(f1324,plain,
spl50_107,
inference(avatar_split_clause,[],[f675,f1322]) ).
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(f1320,plain,
spl50_106,
inference(avatar_split_clause,[],[f655,f1318]) ).
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(f1316,plain,
spl50_105,
inference(avatar_split_clause,[],[f626,f1314]) ).
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(f1312,plain,
spl50_104,
inference(avatar_split_clause,[],[f620,f1310]) ).
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(f1307,plain,
( spl50_102
| spl50_103
| ~ spl50_4
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f1017,f957,f805,f1304,f1300]) ).
fof(f1017,plain,
( bot_bot_bool = fTrue
| bot_bot_bool = fFalse
| ~ spl50_4
| ~ spl50_39 ),
inference(resolution,[],[f958,f807]) ).
fof(f1298,plain,
spl50_101,
inference(avatar_split_clause,[],[f590,f1296]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) ).
fof(f1294,plain,
spl50_100,
inference(avatar_split_clause,[],[f589,f1292]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).
fof(f1290,plain,
spl50_99,
inference(avatar_split_clause,[],[f588,f1288]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(f1286,plain,
spl50_98,
inference(avatar_split_clause,[],[f587,f1284]) ).
fof(f1284,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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It) ).
fof(f1282,plain,
spl50_97,
inference(avatar_split_clause,[],[f586,f1280]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(f1278,plain,
spl50_96,
inference(avatar_split_clause,[],[f585,f1276]) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_001) ).
fof(f1274,plain,
spl50_95,
inference(avatar_split_clause,[],[f584,f1272]) ).
fof(f1272,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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H) ).
fof(f1270,plain,
spl50_94,
inference(avatar_split_clause,[],[f583,f1268]) ).
fof(f1268,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/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H_003) ).
fof(f1266,plain,
spl50_93,
inference(avatar_split_clause,[],[f576,f1264]) ).
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/sandbox/benchmark/theBenchmark.p',fact_80_finite__insert) ).
fof(f1262,plain,
spl50_92,
inference(avatar_split_clause,[],[f552,f1260]) ).
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(f1257,plain,
spl50_91,
inference(avatar_split_clause,[],[f497,f1255]) ).
fof(f1255,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(f1253,plain,
spl50_90,
inference(avatar_split_clause,[],[f483,f1251]) ).
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/sandbox/benchmark/theBenchmark.p',fact_61_nonempty__iff) ).
fof(f1234,plain,
( spl50_89
| ~ spl50_1
| ~ spl50_46 ),
inference(avatar_split_clause,[],[f1027,f988,f790,f1232]) ).
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(f1229,plain,
spl50_88,
inference(avatar_split_clause,[],[f756,f1227]) ).
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/sandbox/benchmark/theBenchmark.p',fact_62_fold1Set__sing) ).
fof(f1225,plain,
spl50_87,
inference(avatar_split_clause,[],[f752,f1223]) ).
fof(f1223,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/sandbox/benchmark/theBenchmark.p',fact_63_folding__one_Osingleton) ).
fof(f1221,plain,
spl50_86,
inference(avatar_split_clause,[],[f734,f1219]) ).
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/sandbox/benchmark/theBenchmark.p',fact_35_singletonE) ).
fof(f1217,plain,
spl50_85,
inference(avatar_split_clause,[],[f659,f1215]) ).
fof(f1215,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(f1213,plain,
spl50_84,
inference(avatar_split_clause,[],[f658,f1211]) ).
fof(f1211,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(f1209,plain,
spl50_83,
inference(avatar_split_clause,[],[f657,f1207]) ).
fof(f1207,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(f1205,plain,
spl50_82,
inference(avatar_split_clause,[],[f656,f1203]) ).
fof(f1203,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(f1201,plain,
spl50_81,
inference(avatar_split_clause,[],[f605,f1199]) ).
fof(f1199,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/sandbox/benchmark/theBenchmark.p',fact_93_folding__one__idem_Oidem) ).
fof(f1197,plain,
spl50_80,
inference(avatar_split_clause,[],[f484,f1195]) ).
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(f1168,plain,
spl50_79,
inference(avatar_split_clause,[],[f720,f1166]) ).
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/sandbox/benchmark/theBenchmark.p',fact_43_hoare__derivs_OSkip) ).
fof(f1164,plain,
spl50_78,
inference(avatar_split_clause,[],[f645,f1162]) ).
fof(f1162,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/sandbox/benchmark/theBenchmark.p',fact_51_com_Osimps_I3_J) ).
fof(f1160,plain,
spl50_77,
inference(avatar_split_clause,[],[f644,f1158]) ).
fof(f1158,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(f1156,plain,
spl50_76,
inference(avatar_split_clause,[],[f614,f1154]) ).
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/sandbox/benchmark/theBenchmark.p',fact_77_empty__fold__graphE) ).
fof(f1152,plain,
spl50_75,
inference(avatar_split_clause,[],[f575,f1150]) ).
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/sandbox/benchmark/theBenchmark.p',fact_73_mem__def) ).
fof(f1148,plain,
( spl50_74
| ~ spl50_34
| ~ spl50_61 ),
inference(avatar_split_clause,[],[f1100,f1086,f936,f1146]) ).
fof(f1146,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(f1100,plain,
( ! [X0] : bot_bo1687970473a_bool != hAPP_H562195827a_bool(fequal1878252616iple_a,X0)
| ~ spl50_34
| ~ spl50_61 ),
inference(superposition,[],[f937,f1087]) ).
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(f1144,plain,
spl50_73,
inference(avatar_split_clause,[],[f574,f1142]) ).
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(f1140,plain,
spl50_72,
inference(avatar_split_clause,[],[f550,f1138]) ).
fof(f550,plain,
! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,sK16(X0)),sK17(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1136,plain,
spl50_71,
inference(avatar_split_clause,[],[f537,f1134]) ).
fof(f1134,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/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1132,plain,
spl50_70,
inference(avatar_split_clause,[],[f536,f1130]) ).
fof(f1130,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/sandbox/benchmark/theBenchmark.p',help_fdisj_3_1_U) ).
fof(f1128,plain,
spl50_69,
inference(avatar_split_clause,[],[f528,f1126]) ).
fof(f1126,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/sandbox/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
fof(f1124,plain,
spl50_68,
inference(avatar_split_clause,[],[f518,f1122]) ).
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/sandbox/benchmark/theBenchmark.p',fact_32_insertI1) ).
fof(f1120,plain,
spl50_67,
inference(avatar_split_clause,[],[f516,f1118]) ).
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/sandbox/benchmark/theBenchmark.p',fact_69_fold1__def) ).
fof(f1116,plain,
spl50_66,
inference(avatar_split_clause,[],[f503,f1114]) ).
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/sandbox/benchmark/theBenchmark.p',fact_20_ex__in__conv) ).
fof(f1112,plain,
spl50_65,
inference(avatar_split_clause,[],[f500,f1110]) ).
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/sandbox/benchmark/theBenchmark.p',fact_21_all__not__in__conv) ).
fof(f1108,plain,
spl50_64,
inference(avatar_split_clause,[],[f480,f1106]) ).
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/sandbox/benchmark/theBenchmark.p',fact_55_equals0I) ).
fof(f1104,plain,
( spl50_63
| ~ spl50_24
| ~ spl50_49 ),
inference(avatar_split_clause,[],[f1047,f1000,f891,f1102]) ).
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(f1092,plain,
spl50_62,
inference(avatar_split_clause,[],[f714,f1090]) ).
fof(f1088,plain,
spl50_61,
inference(avatar_split_clause,[],[f712,f1086]) ).
fof(f1084,plain,
spl50_60,
inference(avatar_split_clause,[],[f542,f1082]) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
fof(f1080,plain,
spl50_59,
inference(avatar_split_clause,[],[f541,f1078]) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Com__Ostate_T) ).
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/sandbox/benchmark/theBenchmark.p',fact_45_triple_Oexhaust) ).
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/sandbox/benchmark/theBenchmark.p',fact_53_the__eq__trivial) ).
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/sandbox/benchmark/theBenchmark.p',fact_40_the__elem__eq) ).
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/sandbox/benchmark/theBenchmark.p',fact_82_fold1__singleton) ).
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/sandbox/benchmark/theBenchmark.p',fact_17_Collect__empty__eq) ).
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/sandbox/benchmark/theBenchmark.p',fact_19_empty__Collect__eq) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fdisj_2_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fdisj_1_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
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/sandbox/benchmark/theBenchmark.p',fact_76_fold__graph_OemptyI) ).
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/sandbox/benchmark/theBenchmark.p',fact_39_empty__not__insert) ).
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/sandbox/benchmark/theBenchmark.p',fact_52_the__sym__eq__trivial) ).
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/sandbox/benchmark/theBenchmark.p',conj_0) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_) ).
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/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Com__Ostate_T) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
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/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
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/sandbox/benchmark/theBenchmark.p',fact_65_empty__fold1SetE) ).
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/sandbox/benchmark/theBenchmark.p',fact_41_bot__apply) ).
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/sandbox/benchmark/theBenchmark.p',help_fNot_1_1_U) ).
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/sandbox/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
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/sandbox/benchmark/theBenchmark.p',fact_11_emptyE) ).
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/sandbox/benchmark/theBenchmark.p',fact_47_com_Osimps_I13_J) ).
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/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
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/sandbox/benchmark/theBenchmark.p',fact_22_empty__def) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____jfehddehev__Otriple) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____jfehddehev__O) ).
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/sandbox/benchmark/theBenchmark.p',fact_71_finite_OemptyI) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).
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/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 03:01:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.36 % (13790)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (13793)WARNING: value z3 for option sas not known
% 0.22/0.38 % (13795)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (13796)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (13793)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (13797)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (13792)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (13794)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (13791)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.51 TRYING [3]
% 1.54/0.57 TRYING [1]
% 1.54/0.59 TRYING [2]
% 1.54/0.62 % (13795)First to succeed.
% 1.96/0.65 % (13795)Refutation found. Thanks to Tanya!
% 1.96/0.65 % SZS status Theorem for theBenchmark
% 1.96/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.67 % (13795)------------------------------
% 2.12/0.67 % (13795)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.12/0.67 % (13795)Termination reason: Refutation
% 2.12/0.67
% 2.12/0.67 % (13795)Memory used [KB]: 4800
% 2.12/0.67 % (13795)Time elapsed: 0.266 s
% 2.12/0.67 % (13795)Instructions burned: 510 (million)
% 2.12/0.67 % (13795)------------------------------
% 2.12/0.67 % (13795)------------------------------
% 2.12/0.67 % (13790)Success in time 0.297 s
%------------------------------------------------------------------------------