TSTP Solution File: SWC323-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : 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 : Sat Sep 2 12:50:05 EDT 2023
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 456
% Syntax : Number of formulae : 887 ( 248 unt; 0 def)
% Number of atoms : 2695 ( 394 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 3299 (1491 ~;1545 |; 0 &)
% ( 263 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 284 ( 282 usr; 264 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 789 (; 789 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2533,plain,
$false,
inference(avatar_sat_refutation,[],[f211,f216,f221,f227,f233,f238,f247,f256,f261,f266,f271,f276,f281,f286,f291,f296,f301,f306,f311,f315,f319,f323,f327,f331,f335,f339,f343,f347,f351,f355,f359,f363,f367,f371,f375,f379,f383,f387,f391,f395,f399,f403,f407,f411,f415,f419,f423,f427,f431,f435,f439,f443,f447,f451,f455,f460,f464,f468,f472,f476,f480,f484,f488,f492,f496,f500,f504,f508,f512,f516,f520,f524,f528,f532,f536,f540,f544,f548,f552,f556,f563,f565,f569,f573,f638,f642,f646,f650,f654,f658,f662,f666,f670,f674,f681,f704,f708,f713,f717,f721,f725,f729,f733,f737,f741,f745,f749,f754,f760,f764,f768,f772,f776,f780,f784,f788,f792,f796,f804,f808,f812,f816,f820,f846,f850,f854,f861,f865,f869,f873,f874,f879,f886,f893,f977,f994,f1005,f1015,f1019,f1024,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1091,f1095,f1099,f1103,f1115,f1119,f1123,f1127,f1131,f1135,f1139,f1190,f1264,f1268,f1273,f1277,f1281,f1285,f1289,f1293,f1297,f1301,f1305,f1308,f1326,f1374,f1388,f1412,f1417,f1456,f1460,f1465,f1577,f1581,f1585,f1589,f1593,f1598,f1604,f1610,f1614,f1618,f1709,f1713,f1718,f1722,f1726,f1730,f1734,f1738,f1742,f1746,f1765,f1825,f1829,f1833,f1837,f1842,f1846,f1850,f2070,f2077,f2081,f2087,f2093,f2100,f2105,f2109,f2117,f2124,f2128,f2132,f2142,f2187,f2191,f2195,f2199,f2204,f2229,f2233,f2237,f2241,f2245,f2249,f2272,f2285,f2320,f2324,f2328,f2332,f2336,f2340,f2344,f2361,f2372,f2378,f2387,f2394,f2406,f2412,f2417,f2423,f2428,f2432,f2436,f2443,f2447,f2490,f2496,f2501,f2506,f2511,f2515,f2524,f2531,f2532]) ).
fof(f2532,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_59
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2484,f2317,f462,f253,f208]) ).
fof(f208,plain,
( spl0_1
<=> ssList(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f253,plain,
( spl0_10
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f462,plain,
( spl0_59
<=> ! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| sk1 != app(X7,X6)
| sk2 != app(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2317,plain,
( spl0_233
<=> sk1 = app(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2484,plain,
( ~ ssList(sk1)
| ~ spl0_10
| ~ spl0_59
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f2483]) ).
fof(f2483,plain,
( sk1 != sk1
| ~ ssList(sk1)
| ~ spl0_10
| ~ spl0_59
| ~ spl0_233 ),
inference(forward_demodulation,[],[f2482,f255]) ).
fof(f255,plain,
( sk1 = sk2
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f2482,plain,
( sk1 != sk2
| ~ ssList(sk1)
| ~ spl0_59
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f2481]) ).
fof(f2481,plain,
( sk1 != sk2
| ~ ssList(sk1)
| sk1 != sk1
| ~ spl0_59
| ~ spl0_233 ),
inference(duplicate_literal_removal,[],[f2448]) ).
fof(f2448,plain,
( sk1 != sk2
| ~ ssList(sk1)
| sk1 != sk1
| ~ ssList(sk1)
| ~ spl0_59
| ~ spl0_233 ),
inference(superposition,[],[f463,f2319]) ).
fof(f2319,plain,
( sk1 = app(sk1,sk1)
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f463,plain,
( ! [X6,X7] :
( sk2 != app(X6,X7)
| ~ ssList(X6)
| sk1 != app(X7,X6)
| ~ ssList(X7) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f2531,plain,
( ~ spl0_263
| ~ spl0_245
| spl0_261 ),
inference(avatar_split_clause,[],[f2526,f2517,f2391,f2528]) ).
fof(f2528,plain,
( spl0_263
<=> sk1 = app(skaf80(sk1),cons(skaf78(sk1),cons(skaf79(sk1),skaf81(sk1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f2391,plain,
( spl0_245
<=> sk1 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f2517,plain,
( spl0_261
<=> sk6 = app(skaf80(sk6),cons(skaf78(sk6),cons(skaf79(sk6),skaf81(sk6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f2526,plain,
( sk1 != app(skaf80(sk1),cons(skaf78(sk1),cons(skaf79(sk1),skaf81(sk1))))
| ~ spl0_245
| spl0_261 ),
inference(forward_demodulation,[],[f2518,f2393]) ).
fof(f2393,plain,
( sk1 = sk6
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f2518,plain,
( sk6 != app(skaf80(sk6),cons(skaf78(sk6),cons(skaf79(sk6),skaf81(sk6))))
| spl0_261 ),
inference(avatar_component_clause,[],[f2517]) ).
fof(f2524,plain,
( spl0_261
| spl0_262
| ~ spl0_133
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1652,f1575,f876,f2521,f2517]) ).
fof(f2521,plain,
( spl0_262
<=> equalelemsP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f876,plain,
( spl0_133
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1575,plain,
( spl0_180
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1652,plain,
( equalelemsP(sk6)
| sk6 = app(skaf80(sk6),cons(skaf78(sk6),cons(skaf79(sk6),skaf81(sk6))))
| ~ spl0_133
| ~ spl0_180 ),
inference(resolution,[],[f1576,f878]) ).
fof(f878,plain,
( ssList(sk6)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f1576,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f2515,plain,
( spl0_260
| ~ spl0_73
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1600,f1596,f518,f2513]) ).
fof(f2513,plain,
( spl0_260
<=> ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk1 = X0
| totalorderedP(cons(hd(X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f518,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1596,plain,
( spl0_185
<=> ! [X0,X1] :
( sk1 = X1
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1600,plain,
( ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk1 = X0
| totalorderedP(cons(hd(X0),X0)) )
| ~ spl0_73
| ~ spl0_185 ),
inference(duplicate_literal_removal,[],[f1599]) ).
fof(f1599,plain,
( ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk1 = X0
| totalorderedP(cons(hd(X0),X0))
| ~ ssItem(hd(X0)) )
| ~ spl0_73
| ~ spl0_185 ),
inference(resolution,[],[f1597,f519]) ).
fof(f519,plain,
( ! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f1597,plain,
( ! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| sk1 = X1
| totalorderedP(cons(X0,X1)) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f2511,plain,
( spl0_259
| ~ spl0_137
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1377,f1271,f991,f2509]) ).
fof(f2509,plain,
( spl0_259
<=> ! [X0,X1] :
( sk1 != X0
| ~ ssList(X0)
| ~ ssList(X1)
| sk1 != X1
| app(X1,X0) = sk1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f991,plain,
( spl0_137
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1271,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1377,plain,
( ! [X0,X1] :
( sk1 != X0
| ~ ssList(X0)
| ~ ssList(X1)
| sk1 != X1
| app(X1,X0) = sk1 )
| ~ spl0_137
| ~ spl0_163 ),
inference(superposition,[],[f1272,f993]) ).
fof(f993,plain,
( nil = sk1
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1272,plain,
( ! [X0,X1] :
( nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil != X0
| nil = app(X0,X1) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f2506,plain,
( ~ spl0_160
| ~ spl0_133
| spl0_258
| ~ spl0_134
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1252,f1137,f883,f2504,f876,f1187]) ).
fof(f1187,plain,
( spl0_160
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f2504,plain,
( spl0_258
<=> ! [X3] :
( sk1 != X3
| frontsegP(X3,sk6)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f883,plain,
( spl0_134
<=> sk1 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1137,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1252,plain,
( ! [X3] :
( sk1 != X3
| ~ ssList(X3)
| ~ ssList(sk6)
| frontsegP(X3,sk6)
| ~ ssList(cons(sk5,nil)) )
| ~ spl0_134
| ~ spl0_159 ),
inference(superposition,[],[f1138,f885]) ).
fof(f885,plain,
( sk1 = app(sk6,cons(sk5,nil))
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f1138,plain,
( ! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| ~ ssList(X1) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f2501,plain,
( ~ spl0_133
| ~ spl0_160
| spl0_257
| ~ spl0_134
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1224,f1125,f883,f2499,f1187,f876]) ).
fof(f2499,plain,
( spl0_257
<=> ! [X3] :
( memberP(sk1,X3)
| ~ ssItem(X3)
| ~ memberP(sk6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1125,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1224,plain,
( ! [X3] :
( memberP(sk1,X3)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ memberP(sk6,X3)
| ~ ssItem(X3) )
| ~ spl0_134
| ~ spl0_156 ),
inference(superposition,[],[f1126,f885]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f2496,plain,
( ~ spl0_160
| ~ spl0_133
| spl0_256
| ~ spl0_134
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1210,f1113,f883,f2494,f876,f1187]) ).
fof(f2494,plain,
( spl0_256
<=> ! [X3] :
( frontsegP(sk1,X3)
| ~ frontsegP(sk6,X3)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f1113,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1210,plain,
( ! [X3] :
( frontsegP(sk1,X3)
| ~ ssList(sk6)
| ~ ssList(X3)
| ~ frontsegP(sk6,X3)
| ~ ssList(cons(sk5,nil)) )
| ~ spl0_134
| ~ spl0_153 ),
inference(superposition,[],[f1114,f885]) ).
fof(f1114,plain,
( ! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f2490,plain,
( ~ spl0_160
| ~ spl0_255
| ~ spl0_133
| ~ spl0_10
| ~ spl0_59
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1310,f883,f462,f253,f876,f2487,f1187]) ).
fof(f2487,plain,
( spl0_255
<=> sk1 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f1310,plain,
( ~ ssList(sk6)
| sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_10
| ~ spl0_59
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f1309]) ).
fof(f1309,plain,
( sk1 != sk1
| ~ ssList(sk6)
| sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_10
| ~ spl0_59
| ~ spl0_134 ),
inference(forward_demodulation,[],[f888,f255]) ).
fof(f888,plain,
( sk1 != sk2
| ~ ssList(sk6)
| sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_59
| ~ spl0_134 ),
inference(superposition,[],[f463,f885]) ).
fof(f2447,plain,
( ~ spl0_1
| spl0_254
| ~ spl0_137
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1381,f1271,f991,f2445,f208]) ).
fof(f2445,plain,
( spl0_254
<=> ! [X0] :
( sk1 = app(X0,sk1)
| ~ ssList(X0)
| sk1 != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f1381,plain,
( ! [X0] :
( sk1 = app(X0,sk1)
| sk1 != X0
| ~ ssList(sk1)
| ~ ssList(X0) )
| ~ spl0_137
| ~ spl0_163 ),
inference(forward_demodulation,[],[f1380,f993]) ).
fof(f1380,plain,
( ! [X0] :
( sk1 != X0
| ~ ssList(sk1)
| ~ ssList(X0)
| nil = app(X0,nil) )
| ~ spl0_137
| ~ spl0_163 ),
inference(forward_demodulation,[],[f1379,f993]) ).
fof(f1379,plain,
( ! [X0] :
( ~ ssList(sk1)
| ~ ssList(X0)
| nil != X0
| nil = app(X0,nil) )
| ~ spl0_137
| ~ spl0_163 ),
inference(forward_demodulation,[],[f1378,f993]) ).
fof(f1378,plain,
( ! [X0] :
( ~ ssList(nil)
| ~ ssList(X0)
| nil != X0
| nil = app(X0,nil) )
| ~ spl0_163 ),
inference(equality_resolution,[],[f1272]) ).
fof(f2443,plain,
( spl0_244
| spl0_253
| ~ spl0_133
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1173,f1089,f876,f2441,f2384]) ).
fof(f2384,plain,
( spl0_244
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2441,plain,
( spl0_253
<=> ! [X71] :
( ~ ssList(X71)
| hd(sk6) = hd(app(sk6,X71)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1089,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1173,plain,
( ! [X71] :
( ~ ssList(X71)
| nil = sk6
| hd(sk6) = hd(app(sk6,X71)) )
| ~ spl0_133
| ~ spl0_149 ),
inference(resolution,[],[f1090,f878]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f2436,plain,
( spl0_252
| ~ spl0_128
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1359,f991,f852,f2434]) ).
fof(f2434,plain,
( spl0_252
<=> ! [X22,X21] :
( cons(X21,sk1) != X22
| ~ ssList(X22)
| singletonP(X22)
| ~ ssItem(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f852,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1359,plain,
( ! [X21,X22] :
( cons(X21,sk1) != X22
| ~ ssList(X22)
| singletonP(X22)
| ~ ssItem(X21) )
| ~ spl0_128
| ~ spl0_137 ),
inference(superposition,[],[f853,f993]) ).
fof(f853,plain,
( ! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssList(X1)
| singletonP(X1)
| ~ ssItem(X0) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f2432,plain,
( spl0_251
| ~ spl0_127
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1358,f991,f848,f2430]) ).
fof(f2430,plain,
( spl0_251
<=> ! [X20,X19] :
( sk1 != X19
| ~ ssList(X19)
| ~ ssItem(X20)
| totalorderedP(cons(X20,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f848,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1358,plain,
( ! [X19,X20] :
( sk1 != X19
| ~ ssList(X19)
| ~ ssItem(X20)
| totalorderedP(cons(X20,X19)) )
| ~ spl0_127
| ~ spl0_137 ),
inference(superposition,[],[f849,f993]) ).
fof(f849,plain,
( ! [X0,X1] :
( nil != X0
| ~ ssList(X0)
| ~ ssItem(X1)
| totalorderedP(cons(X1,X0)) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2428,plain,
( spl0_250
| ~ spl0_126
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1357,f991,f844,f2426]) ).
fof(f2426,plain,
( spl0_250
<=> ! [X18,X17] :
( sk1 != X17
| ~ ssList(X17)
| ~ ssItem(X18)
| strictorderedP(cons(X18,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f844,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1357,plain,
( ! [X18,X17] :
( sk1 != X17
| ~ ssList(X17)
| ~ ssItem(X18)
| strictorderedP(cons(X18,X17)) )
| ~ spl0_126
| ~ spl0_137 ),
inference(superposition,[],[f845,f993]) ).
fof(f845,plain,
( ! [X0,X1] :
( nil != X0
| ~ ssList(X0)
| ~ ssItem(X1)
| strictorderedP(cons(X1,X0)) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f2423,plain,
( spl0_249
| spl0_244
| ~ spl0_130
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f966,f876,f863,f2384,f2420]) ).
fof(f2420,plain,
( spl0_249
<=> sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f863,plain,
( spl0_130
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f966,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6))
| ~ spl0_130
| ~ spl0_133 ),
inference(resolution,[],[f864,f878]) ).
fof(f864,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f2417,plain,
( spl0_248
| ~ spl0_137
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1363,f1021,f991,f2414]) ).
fof(f2414,plain,
( spl0_248
<=> sk6 = app(sk6,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1021,plain,
( spl0_141
<=> sk6 = app(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1363,plain,
( sk6 = app(sk6,sk1)
| ~ spl0_137
| ~ spl0_141 ),
inference(superposition,[],[f1023,f993]) ).
fof(f1023,plain,
( sk6 = app(sk6,nil)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f2412,plain,
( ~ spl0_247
| ~ spl0_10
| spl0_246 ),
inference(avatar_split_clause,[],[f2407,f2403,f253,f2409]) ).
fof(f2409,plain,
( spl0_247
<=> sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f2403,plain,
( spl0_246
<=> sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f2407,plain,
( sk1 != cons(skaf83(sk1),skaf82(sk1))
| ~ spl0_10
| spl0_246 ),
inference(forward_demodulation,[],[f2404,f255]) ).
fof(f2404,plain,
( sk2 != cons(skaf83(sk2),skaf82(sk2))
| spl0_246 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2406,plain,
( spl0_246
| spl0_9
| ~ spl0_2
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f965,f863,f213,f249,f2403]) ).
fof(f249,plain,
( spl0_9
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f213,plain,
( spl0_2
<=> ssList(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f965,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2
| ~ spl0_130 ),
inference(resolution,[],[f864,f215]) ).
fof(f215,plain,
( ssList(sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f2394,plain,
( spl0_245
| ~ spl0_137
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f2388,f2384,f991,f2391]) ).
fof(f2388,plain,
( sk1 = sk6
| ~ spl0_137
| ~ spl0_244 ),
inference(forward_demodulation,[],[f2386,f993]) ).
fof(f2386,plain,
( nil = sk6
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f2387,plain,
( spl0_243
| spl0_244
| ~ spl0_129
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f932,f876,f859,f2384,f2380]) ).
fof(f2380,plain,
( spl0_243
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f859,plain,
( spl0_129
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f932,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_129
| ~ spl0_133 ),
inference(resolution,[],[f860,f878]) ).
fof(f860,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f2378,plain,
( ~ spl0_242
| ~ spl0_10
| spl0_241 ),
inference(avatar_split_clause,[],[f2373,f2369,f253,f2375]) ).
fof(f2375,plain,
( spl0_242
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2369,plain,
( spl0_241
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2373,plain,
( sk1 != cons(hd(sk1),tl(sk1))
| ~ spl0_10
| spl0_241 ),
inference(forward_demodulation,[],[f2370,f255]) ).
fof(f2370,plain,
( sk2 != cons(hd(sk2),tl(sk2))
| spl0_241 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f2372,plain,
( spl0_241
| spl0_9
| ~ spl0_2
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f931,f859,f213,f249,f2369]) ).
fof(f931,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_2
| ~ spl0_129 ),
inference(resolution,[],[f860,f215]) ).
fof(f2361,plain,
( spl0_240
| ~ spl0_136
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1361,f991,f974,f2358]) ).
fof(f2358,plain,
( spl0_240
<=> sk6 = app(sk1,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f974,plain,
( spl0_136
<=> sk6 = app(nil,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1361,plain,
( sk6 = app(sk1,sk6)
| ~ spl0_136
| ~ spl0_137 ),
inference(superposition,[],[f976,f993]) ).
fof(f976,plain,
( sk6 = app(nil,sk6)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f2344,plain,
( spl0_239
| ~ spl0_94
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1353,f991,f664,f2342]) ).
fof(f2342,plain,
( spl0_239
<=> ! [X16] :
( ~ frontsegP(sk1,X16)
| ~ ssList(X16)
| sk1 = X16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f664,plain,
( spl0_94
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1353,plain,
( ! [X16] :
( ~ frontsegP(sk1,X16)
| ~ ssList(X16)
| sk1 = X16 )
| ~ spl0_94
| ~ spl0_137 ),
inference(superposition,[],[f665,f993]) ).
fof(f665,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f2340,plain,
( spl0_238
| ~ spl0_93
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1352,f991,f660,f2338]) ).
fof(f2338,plain,
( spl0_238
<=> ! [X15] :
( sk1 != X15
| ~ ssList(X15)
| frontsegP(sk1,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f660,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1352,plain,
( ! [X15] :
( sk1 != X15
| ~ ssList(X15)
| frontsegP(sk1,X15) )
| ~ spl0_93
| ~ spl0_137 ),
inference(superposition,[],[f661,f993]) ).
fof(f661,plain,
( ! [X0] :
( nil != X0
| ~ ssList(X0)
| frontsegP(nil,X0) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f2336,plain,
( spl0_237
| ~ spl0_92
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1351,f991,f656,f2334]) ).
fof(f2334,plain,
( spl0_237
<=> ! [X14] :
( ~ rearsegP(sk1,X14)
| ~ ssList(X14)
| sk1 = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f656,plain,
( spl0_92
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1351,plain,
( ! [X14] :
( ~ rearsegP(sk1,X14)
| ~ ssList(X14)
| sk1 = X14 )
| ~ spl0_92
| ~ spl0_137 ),
inference(superposition,[],[f657,f993]) ).
fof(f657,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f2332,plain,
( spl0_236
| ~ spl0_91
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1350,f991,f652,f2330]) ).
fof(f2330,plain,
( spl0_236
<=> ! [X13] :
( sk1 != X13
| ~ ssList(X13)
| rearsegP(sk1,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f652,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1350,plain,
( ! [X13] :
( sk1 != X13
| ~ ssList(X13)
| rearsegP(sk1,X13) )
| ~ spl0_91
| ~ spl0_137 ),
inference(superposition,[],[f653,f993]) ).
fof(f653,plain,
( ! [X0] :
( nil != X0
| ~ ssList(X0)
| rearsegP(nil,X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f2328,plain,
( spl0_235
| ~ spl0_90
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1349,f991,f648,f2326]) ).
fof(f2326,plain,
( spl0_235
<=> ! [X12] :
( ~ segmentP(sk1,X12)
| ~ ssList(X12)
| sk1 = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f648,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1349,plain,
( ! [X12] :
( ~ segmentP(sk1,X12)
| ~ ssList(X12)
| sk1 = X12 )
| ~ spl0_90
| ~ spl0_137 ),
inference(superposition,[],[f649,f993]) ).
fof(f649,plain,
( ! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f2324,plain,
( spl0_234
| ~ spl0_89
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1348,f991,f644,f2322]) ).
fof(f2322,plain,
( spl0_234
<=> ! [X11] :
( sk1 != X11
| ~ ssList(X11)
| segmentP(sk1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f644,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1348,plain,
( ! [X11] :
( sk1 != X11
| ~ ssList(X11)
| segmentP(sk1,X11) )
| ~ spl0_89
| ~ spl0_137 ),
inference(superposition,[],[f645,f993]) ).
fof(f645,plain,
( ! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f2320,plain,
( spl0_233
| ~ spl0_87
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1347,f991,f635,f2317]) ).
fof(f635,plain,
( spl0_87
<=> sk1 = app(sk1,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1347,plain,
( sk1 = app(sk1,sk1)
| ~ spl0_87
| ~ spl0_137 ),
inference(superposition,[],[f637,f993]) ).
fof(f637,plain,
( sk1 = app(sk1,nil)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2285,plain,
( spl0_232
| ~ spl0_134
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1360,f991,f883,f2282]) ).
fof(f2282,plain,
( spl0_232
<=> sk1 = app(sk6,cons(sk5,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1360,plain,
( sk1 = app(sk6,cons(sk5,sk1))
| ~ spl0_134
| ~ spl0_137 ),
inference(superposition,[],[f885,f993]) ).
fof(f2272,plain,
( spl0_231
| ~ spl0_82
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1346,f991,f554,f2270]) ).
fof(f2270,plain,
( spl0_231
<=> ! [X10] :
( cyclefreeP(cons(X10,sk1))
| ~ ssItem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f554,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1346,plain,
( ! [X10] :
( cyclefreeP(cons(X10,sk1))
| ~ ssItem(X10) )
| ~ spl0_82
| ~ spl0_137 ),
inference(superposition,[],[f555,f993]) ).
fof(f555,plain,
( ! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f2249,plain,
( spl0_230
| ~ spl0_81
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1345,f991,f550,f2247]) ).
fof(f2247,plain,
( spl0_230
<=> ! [X9] :
( totalorderP(cons(X9,sk1))
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f550,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1345,plain,
( ! [X9] :
( totalorderP(cons(X9,sk1))
| ~ ssItem(X9) )
| ~ spl0_81
| ~ spl0_137 ),
inference(superposition,[],[f551,f993]) ).
fof(f551,plain,
( ! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f2245,plain,
( spl0_229
| ~ spl0_80
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1344,f991,f546,f2243]) ).
fof(f2243,plain,
( spl0_229
<=> ! [X8] :
( strictorderP(cons(X8,sk1))
| ~ ssItem(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f546,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1344,plain,
( ! [X8] :
( strictorderP(cons(X8,sk1))
| ~ ssItem(X8) )
| ~ spl0_80
| ~ spl0_137 ),
inference(superposition,[],[f547,f993]) ).
fof(f547,plain,
( ! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f2241,plain,
( spl0_228
| ~ spl0_79
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1343,f991,f542,f2239]) ).
fof(f2239,plain,
( spl0_228
<=> ! [X7] :
( totalorderedP(cons(X7,sk1))
| ~ ssItem(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f542,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1343,plain,
( ! [X7] :
( totalorderedP(cons(X7,sk1))
| ~ ssItem(X7) )
| ~ spl0_79
| ~ spl0_137 ),
inference(superposition,[],[f543,f993]) ).
fof(f543,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f2237,plain,
( spl0_227
| ~ spl0_78
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1342,f991,f538,f2235]) ).
fof(f2235,plain,
( spl0_227
<=> ! [X6] :
( strictorderedP(cons(X6,sk1))
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f538,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1342,plain,
( ! [X6] :
( strictorderedP(cons(X6,sk1))
| ~ ssItem(X6) )
| ~ spl0_78
| ~ spl0_137 ),
inference(superposition,[],[f539,f993]) ).
fof(f539,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f2233,plain,
( spl0_226
| ~ spl0_77
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1341,f991,f534,f2231]) ).
fof(f2231,plain,
( spl0_226
<=> ! [X5] :
( duplicatefreeP(cons(X5,sk1))
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f534,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1341,plain,
( ! [X5] :
( duplicatefreeP(cons(X5,sk1))
| ~ ssItem(X5) )
| ~ spl0_77
| ~ spl0_137 ),
inference(superposition,[],[f535,f993]) ).
fof(f535,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f2229,plain,
( spl0_225
| ~ spl0_76
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1340,f991,f530,f2227]) ).
fof(f2227,plain,
( spl0_225
<=> ! [X4] :
( equalelemsP(cons(X4,sk1))
| ~ ssItem(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f530,plain,
( spl0_76
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1340,plain,
( ! [X4] :
( equalelemsP(cons(X4,sk1))
| ~ ssItem(X4) )
| ~ spl0_76
| ~ spl0_137 ),
inference(superposition,[],[f531,f993]) ).
fof(f531,plain,
( ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f2204,plain,
( spl0_224
| ~ spl0_137
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2158,f1187,f991,f2201]) ).
fof(f2201,plain,
( spl0_224
<=> ssList(cons(sk5,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2158,plain,
( ssList(cons(sk5,sk1))
| ~ spl0_137
| ~ spl0_160 ),
inference(superposition,[],[f1188,f993]) ).
fof(f1188,plain,
( ssList(cons(sk5,nil))
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f2199,plain,
( spl0_223
| ~ spl0_75
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1339,f991,f526,f2197]) ).
fof(f2197,plain,
( spl0_223
<=> ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f526,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1339,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3) )
| ~ spl0_75
| ~ spl0_137 ),
inference(superposition,[],[f527,f993]) ).
fof(f527,plain,
( ! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f2195,plain,
( spl0_222
| ~ spl0_71
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1338,f991,f510,f2193]) ).
fof(f2193,plain,
( spl0_222
<=> ! [X2] :
( frontsegP(X2,sk1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f510,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1338,plain,
( ! [X2] :
( frontsegP(X2,sk1)
| ~ ssList(X2) )
| ~ spl0_71
| ~ spl0_137 ),
inference(superposition,[],[f511,f993]) ).
fof(f511,plain,
( ! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f2191,plain,
( spl0_221
| ~ spl0_69
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1337,f991,f502,f2189]) ).
fof(f2189,plain,
( spl0_221
<=> ! [X1] :
( rearsegP(X1,sk1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f502,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1337,plain,
( ! [X1] :
( rearsegP(X1,sk1)
| ~ ssList(X1) )
| ~ spl0_69
| ~ spl0_137 ),
inference(superposition,[],[f503,f993]) ).
fof(f503,plain,
( ! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f2187,plain,
( spl0_220
| ~ spl0_67
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1336,f991,f494,f2185]) ).
fof(f2185,plain,
( spl0_220
<=> ! [X0] :
( segmentP(X0,sk1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f494,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1336,plain,
( ! [X0] :
( segmentP(X0,sk1)
| ~ ssList(X0) )
| ~ spl0_67
| ~ spl0_137 ),
inference(superposition,[],[f495,f993]) ).
fof(f495,plain,
( ! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f2142,plain,
( spl0_172
| ~ spl0_137
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1362,f1002,f991,f1323]) ).
fof(f1323,plain,
( spl0_172
<=> neq(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1002,plain,
( spl0_138
<=> neq(sk1,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1362,plain,
( neq(sk1,sk1)
| ~ spl0_137
| ~ spl0_138 ),
inference(superposition,[],[f1004,f993]) ).
fof(f1004,plain,
( neq(sk1,nil)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f2132,plain,
spl0_219,
inference(avatar_split_clause,[],[f185,f2130]) ).
fof(f2130,plain,
( spl0_219
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause185) ).
fof(f2128,plain,
spl0_218,
inference(avatar_split_clause,[],[f184,f2126]) ).
fof(f2126,plain,
( spl0_218
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause184) ).
fof(f2124,plain,
spl0_217,
inference(avatar_split_clause,[],[f183,f2122]) ).
fof(f2122,plain,
( spl0_217
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause183) ).
fof(f2117,plain,
( ~ spl0_216
| spl0_21
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1335,f991,f308,f2114]) ).
fof(f2114,plain,
( spl0_216
<=> singletonP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f308,plain,
( spl0_21
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1335,plain,
( ~ singletonP(sk1)
| spl0_21
| ~ spl0_137 ),
inference(superposition,[],[f310,f993]) ).
fof(f310,plain,
( ~ singletonP(nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f2109,plain,
spl0_215,
inference(avatar_split_clause,[],[f182,f2107]) ).
fof(f2107,plain,
( spl0_215
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause182) ).
fof(f2105,plain,
spl0_214,
inference(avatar_split_clause,[],[f181,f2103]) ).
fof(f2103,plain,
( spl0_214
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause181) ).
fof(f2100,plain,
spl0_213,
inference(avatar_split_clause,[],[f180,f2098]) ).
fof(f2098,plain,
( spl0_213
<=> ! [X4,X0,X3,X2,X1] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause180) ).
fof(f2093,plain,
spl0_212,
inference(avatar_split_clause,[],[f179,f2091]) ).
fof(f2091,plain,
( spl0_212
<=> ! [X2,X4,X0,X3,X1] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause179) ).
fof(f2087,plain,
( spl0_211
| ~ spl0_137
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2083,f2079,f991,f2085]) ).
fof(f2085,plain,
( spl0_211
<=> ! [X0,X1] :
( sk1 = X1
| sk1 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2079,plain,
( spl0_210
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2083,plain,
( ! [X0,X1] :
( sk1 = X1
| sk1 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_137
| ~ spl0_210 ),
inference(forward_demodulation,[],[f2082,f993]) ).
fof(f2082,plain,
( ! [X0,X1] :
( sk1 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_137
| ~ spl0_210 ),
inference(forward_demodulation,[],[f2080,f993]) ).
fof(f2080,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2081,plain,
spl0_210,
inference(avatar_split_clause,[],[f177,f2079]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause177) ).
fof(f2077,plain,
( spl0_209
| ~ spl0_17
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1333,f991,f288,f2074]) ).
fof(f2074,plain,
( spl0_209
<=> cyclefreeP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f288,plain,
( spl0_17
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1333,plain,
( cyclefreeP(sk1)
| ~ spl0_17
| ~ spl0_137 ),
inference(superposition,[],[f290,f993]) ).
fof(f290,plain,
( cyclefreeP(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f2070,plain,
spl0_208,
inference(avatar_split_clause,[],[f178,f2068]) ).
fof(f2068,plain,
( spl0_208
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause178) ).
fof(f1850,plain,
spl0_207,
inference(avatar_split_clause,[],[f167,f1848]) ).
fof(f1848,plain,
( spl0_207
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause167) ).
fof(f1846,plain,
spl0_206,
inference(avatar_split_clause,[],[f166,f1844]) ).
fof(f1844,plain,
( spl0_206
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause166) ).
fof(f1842,plain,
( spl0_205
| ~ spl0_16
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1332,f991,f283,f1839]) ).
fof(f1839,plain,
( spl0_205
<=> totalorderP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f283,plain,
( spl0_16
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1332,plain,
( totalorderP(sk1)
| ~ spl0_16
| ~ spl0_137 ),
inference(superposition,[],[f285,f993]) ).
fof(f285,plain,
( totalorderP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f1837,plain,
spl0_204,
inference(avatar_split_clause,[],[f165,f1835]) ).
fof(f1835,plain,
( spl0_204
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause165) ).
fof(f1833,plain,
spl0_203,
inference(avatar_split_clause,[],[f164,f1831]) ).
fof(f1831,plain,
( spl0_203
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause164) ).
fof(f1829,plain,
spl0_202,
inference(avatar_split_clause,[],[f163,f1827]) ).
fof(f1827,plain,
( spl0_202
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause163) ).
fof(f1825,plain,
spl0_201,
inference(avatar_split_clause,[],[f162,f1823]) ).
fof(f1823,plain,
( spl0_201
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause162) ).
fof(f1765,plain,
( spl0_200
| ~ spl0_15
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1331,f991,f278,f1762]) ).
fof(f1762,plain,
( spl0_200
<=> strictorderP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f278,plain,
( spl0_15
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1331,plain,
( strictorderP(sk1)
| ~ spl0_15
| ~ spl0_137 ),
inference(superposition,[],[f280,f993]) ).
fof(f280,plain,
( strictorderP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f1746,plain,
spl0_199,
inference(avatar_split_clause,[],[f176,f1744]) ).
fof(f1744,plain,
( spl0_199
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause176) ).
fof(f1742,plain,
spl0_198,
inference(avatar_split_clause,[],[f175,f1740]) ).
fof(f1740,plain,
( spl0_198
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause175) ).
fof(f1738,plain,
spl0_197,
inference(avatar_split_clause,[],[f174,f1736]) ).
fof(f1736,plain,
( spl0_197
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause174) ).
fof(f1734,plain,
spl0_196,
inference(avatar_split_clause,[],[f173,f1732]) ).
fof(f1732,plain,
( spl0_196
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause173) ).
fof(f1730,plain,
spl0_195,
inference(avatar_split_clause,[],[f172,f1728]) ).
fof(f1728,plain,
( spl0_195
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause172) ).
fof(f1726,plain,
spl0_194,
inference(avatar_split_clause,[],[f171,f1724]) ).
fof(f1724,plain,
( spl0_194
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause171) ).
fof(f1722,plain,
spl0_193,
inference(avatar_split_clause,[],[f170,f1720]) ).
fof(f1720,plain,
( spl0_193
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause170) ).
fof(f1718,plain,
( spl0_192
| ~ spl0_14
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1330,f991,f273,f1715]) ).
fof(f1715,plain,
( spl0_192
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f273,plain,
( spl0_14
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1330,plain,
( totalorderedP(sk1)
| ~ spl0_14
| ~ spl0_137 ),
inference(superposition,[],[f275,f993]) ).
fof(f275,plain,
( totalorderedP(nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f1713,plain,
spl0_191,
inference(avatar_split_clause,[],[f169,f1711]) ).
fof(f1711,plain,
( spl0_191
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause169) ).
fof(f1709,plain,
spl0_190,
inference(avatar_split_clause,[],[f168,f1707]) ).
fof(f1707,plain,
( spl0_190
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause168) ).
fof(f1618,plain,
spl0_189,
inference(avatar_split_clause,[],[f161,f1616]) ).
fof(f1616,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause161) ).
fof(f1614,plain,
( spl0_188
| ~ spl0_137
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1605,f1602,f991,f1612]) ).
fof(f1612,plain,
( spl0_188
<=> ! [X0,X1] :
( sk1 = X1
| ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1602,plain,
( spl0_186
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1605,plain,
( ! [X0,X1] :
( sk1 = X1
| ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) )
| ~ spl0_137
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1603,f993]) ).
fof(f1603,plain,
( ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1610,plain,
( spl0_187
| ~ spl0_13
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1329,f991,f268,f1607]) ).
fof(f1607,plain,
( spl0_187
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f268,plain,
( spl0_13
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1329,plain,
( strictorderedP(sk1)
| ~ spl0_13
| ~ spl0_137 ),
inference(superposition,[],[f270,f993]) ).
fof(f270,plain,
( strictorderedP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1604,plain,
spl0_186,
inference(avatar_split_clause,[],[f160,f1602]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause160) ).
fof(f1598,plain,
( spl0_185
| ~ spl0_137
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1594,f1591,f991,f1596]) ).
fof(f1591,plain,
( spl0_184
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1594,plain,
( ! [X0,X1] :
( sk1 = X1
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) )
| ~ spl0_137
| ~ spl0_184 ),
inference(forward_demodulation,[],[f1592,f993]) ).
fof(f1592,plain,
( ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1593,plain,
spl0_184,
inference(avatar_split_clause,[],[f159,f1591]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause159) ).
fof(f1589,plain,
spl0_183,
inference(avatar_split_clause,[],[f158,f1587]) ).
fof(f1587,plain,
( spl0_183
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause158) ).
fof(f1585,plain,
spl0_182,
inference(avatar_split_clause,[],[f157,f1583]) ).
fof(f1583,plain,
( spl0_182
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause157) ).
fof(f1581,plain,
spl0_181,
inference(avatar_split_clause,[],[f149,f1579]) ).
fof(f1579,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause149) ).
fof(f1577,plain,
spl0_180,
inference(avatar_split_clause,[],[f142,f1575]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause142) ).
fof(f1465,plain,
( spl0_179
| ~ spl0_12
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1328,f991,f263,f1462]) ).
fof(f1462,plain,
( spl0_179
<=> duplicatefreeP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f263,plain,
( spl0_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1328,plain,
( duplicatefreeP(sk1)
| ~ spl0_12
| ~ spl0_137 ),
inference(superposition,[],[f265,f993]) ).
fof(f265,plain,
( duplicatefreeP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f1460,plain,
spl0_178,
inference(avatar_split_clause,[],[f151,f1458]) ).
fof(f1458,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause151) ).
fof(f1456,plain,
spl0_177,
inference(avatar_split_clause,[],[f150,f1454]) ).
fof(f1454,plain,
( spl0_177
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause150) ).
fof(f1417,plain,
( spl0_176
| ~ spl0_137
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1413,f1410,f991,f1415]) ).
fof(f1415,plain,
( spl0_176
<=> ! [X0,X1] :
( sk1 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1410,plain,
( spl0_175
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1413,plain,
( ! [X0,X1] :
( sk1 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_137
| ~ spl0_175 ),
inference(forward_demodulation,[],[f1411,f993]) ).
fof(f1411,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f1412,plain,
spl0_175,
inference(avatar_split_clause,[],[f133,f1410]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause133) ).
fof(f1388,plain,
( spl0_174
| ~ spl0_11
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1327,f991,f258,f1385]) ).
fof(f1385,plain,
( spl0_174
<=> equalelemsP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f258,plain,
( spl0_11
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1327,plain,
( equalelemsP(sk1)
| ~ spl0_11
| ~ spl0_137 ),
inference(superposition,[],[f260,f993]) ).
fof(f260,plain,
( equalelemsP(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f1374,plain,
( ~ spl0_173
| ~ spl0_10
| spl0_135
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1314,f991,f890,f253,f1371]) ).
fof(f1371,plain,
( spl0_173
<=> sk1 = app(cons(sk5,sk1),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f890,plain,
( spl0_135
<=> sk2 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1314,plain,
( sk1 != app(cons(sk5,sk1),sk6)
| ~ spl0_10
| spl0_135
| ~ spl0_137 ),
inference(forward_demodulation,[],[f1313,f255]) ).
fof(f1313,plain,
( sk2 != app(cons(sk5,sk1),sk6)
| spl0_135
| ~ spl0_137 ),
inference(forward_demodulation,[],[f891,f993]) ).
fof(f891,plain,
( sk2 != app(cons(sk5,nil),sk6)
| spl0_135 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1326,plain,
( ~ spl0_172
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f986,f253,f249,f244,f1323]) ).
fof(f244,plain,
( spl0_8
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f986,plain,
( ~ neq(sk1,sk1)
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f985,f255]) ).
fof(f985,plain,
( ~ neq(sk2,sk1)
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f246,f980]) ).
fof(f980,plain,
( nil = sk1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f250,f255]) ).
fof(f250,plain,
( nil = sk2
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f246,plain,
( ~ neq(sk2,nil)
| spl0_8 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f1308,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_96
| spl0_160 ),
inference(avatar_split_clause,[],[f1269,f1187,f672,f293,f240]) ).
fof(f240,plain,
( spl0_7
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f293,plain,
( spl0_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f672,plain,
( spl0_96
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1269,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_96
| spl0_160 ),
inference(resolution,[],[f1189,f673]) ).
fof(f673,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1189,plain,
( ~ ssList(cons(sk5,nil))
| spl0_160 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1305,plain,
spl0_171,
inference(avatar_split_clause,[],[f156,f1303]) ).
fof(f1303,plain,
( spl0_171
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause156) ).
fof(f1301,plain,
spl0_170,
inference(avatar_split_clause,[],[f155,f1299]) ).
fof(f1299,plain,
( spl0_170
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause155) ).
fof(f1297,plain,
spl0_169,
inference(avatar_split_clause,[],[f154,f1295]) ).
fof(f1295,plain,
( spl0_169
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause154) ).
fof(f1293,plain,
spl0_168,
inference(avatar_split_clause,[],[f153,f1291]) ).
fof(f1291,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause153) ).
fof(f1289,plain,
spl0_167,
inference(avatar_split_clause,[],[f152,f1287]) ).
fof(f1287,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause152) ).
fof(f1285,plain,
spl0_166,
inference(avatar_split_clause,[],[f148,f1283]) ).
fof(f1283,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause148) ).
fof(f1281,plain,
spl0_165,
inference(avatar_split_clause,[],[f147,f1279]) ).
fof(f1279,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause147) ).
fof(f1277,plain,
spl0_164,
inference(avatar_split_clause,[],[f146,f1275]) ).
fof(f1275,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause146) ).
fof(f1273,plain,
spl0_163,
inference(avatar_split_clause,[],[f145,f1271]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause145) ).
fof(f1268,plain,
spl0_162,
inference(avatar_split_clause,[],[f135,f1266]) ).
fof(f1266,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause135) ).
fof(f1264,plain,
spl0_161,
inference(avatar_split_clause,[],[f134,f1262]) ).
fof(f1262,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause134) ).
fof(f1190,plain,
( ~ spl0_133
| ~ spl0_160
| ~ spl0_59
| ~ spl0_134
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f898,f890,f883,f462,f1187,f876]) ).
fof(f898,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_59
| ~ spl0_134
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f897]) ).
fof(f897,plain,
( sk1 != sk1
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_59
| ~ spl0_134
| ~ spl0_135 ),
inference(forward_demodulation,[],[f896,f885]) ).
fof(f896,plain,
( ~ ssList(cons(sk5,nil))
| sk1 != app(sk6,cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_59
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f895]) ).
fof(f895,plain,
( sk2 != sk2
| ~ ssList(cons(sk5,nil))
| sk1 != app(sk6,cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_59
| ~ spl0_135 ),
inference(superposition,[],[f463,f892]) ).
fof(f892,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1139,plain,
spl0_159,
inference(avatar_split_clause,[],[f144,f1137]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause144) ).
fof(f1135,plain,
spl0_158,
inference(avatar_split_clause,[],[f143,f1133]) ).
fof(f1133,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause143) ).
fof(f1131,plain,
spl0_157,
inference(avatar_split_clause,[],[f141,f1129]) ).
fof(f1129,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause141) ).
fof(f1127,plain,
spl0_156,
inference(avatar_split_clause,[],[f140,f1125]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause140) ).
fof(f1123,plain,
spl0_155,
inference(avatar_split_clause,[],[f139,f1121]) ).
fof(f1121,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause139) ).
fof(f1119,plain,
spl0_154,
inference(avatar_split_clause,[],[f138,f1117]) ).
fof(f1117,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause138) ).
fof(f1115,plain,
spl0_153,
inference(avatar_split_clause,[],[f137,f1113]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause137) ).
fof(f1103,plain,
spl0_152,
inference(avatar_split_clause,[],[f136,f1101]) ).
fof(f1101,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause136) ).
fof(f1099,plain,
spl0_151,
inference(avatar_split_clause,[],[f132,f1097]) ).
fof(f1097,plain,
( spl0_151
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause132) ).
fof(f1095,plain,
spl0_150,
inference(avatar_split_clause,[],[f131,f1093]) ).
fof(f1093,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause131) ).
fof(f1091,plain,
spl0_149,
inference(avatar_split_clause,[],[f123,f1089]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause123) ).
fof(f1052,plain,
spl0_148,
inference(avatar_split_clause,[],[f130,f1050]) ).
fof(f1050,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause130) ).
fof(f1048,plain,
spl0_147,
inference(avatar_split_clause,[],[f129,f1046]) ).
fof(f1046,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause129) ).
fof(f1044,plain,
spl0_146,
inference(avatar_split_clause,[],[f128,f1042]) ).
fof(f1042,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause128) ).
fof(f1040,plain,
spl0_145,
inference(avatar_split_clause,[],[f127,f1038]) ).
fof(f1038,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause127) ).
fof(f1036,plain,
spl0_144,
inference(avatar_split_clause,[],[f126,f1034]) ).
fof(f1034,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause126) ).
fof(f1032,plain,
spl0_143,
inference(avatar_split_clause,[],[f125,f1030]) ).
fof(f1030,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause125) ).
fof(f1028,plain,
spl0_142,
inference(avatar_split_clause,[],[f124,f1026]) ).
fof(f1026,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause124) ).
fof(f1024,plain,
( spl0_141
| ~ spl0_85
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f881,f876,f567,f1021]) ).
fof(f567,plain,
( spl0_85
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f881,plain,
( sk6 = app(sk6,nil)
| ~ spl0_85
| ~ spl0_133 ),
inference(resolution,[],[f878,f568]) ).
fof(f568,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1019,plain,
spl0_140,
inference(avatar_split_clause,[],[f122,f1017]) ).
fof(f1017,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause122) ).
fof(f1015,plain,
spl0_139,
inference(avatar_split_clause,[],[f120,f1013]) ).
fof(f1013,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause120) ).
fof(f1005,plain,
( spl0_138
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f996,f253,f244,f1002]) ).
fof(f996,plain,
( neq(sk1,nil)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f245,f255]) ).
fof(f245,plain,
( neq(sk2,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f994,plain,
( spl0_137
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f980,f253,f249,f991]) ).
fof(f977,plain,
( spl0_136
| ~ spl0_86
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f880,f876,f571,f974]) ).
fof(f571,plain,
( spl0_86
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f880,plain,
( sk6 = app(nil,sk6)
| ~ spl0_86
| ~ spl0_133 ),
inference(resolution,[],[f878,f572]) ).
fof(f572,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f893,plain,
( ~ spl0_8
| spl0_135 ),
inference(avatar_split_clause,[],[f206,f890,f244]) ).
fof(f206,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f205,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_5) ).
fof(f205,plain,
( ~ neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_11) ).
fof(f886,plain,
( ~ spl0_8
| spl0_134 ),
inference(avatar_split_clause,[],[f204,f883,f244]) ).
fof(f204,plain,
( sk1 = app(sk6,cons(sk5,nil))
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f203,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_6) ).
fof(f203,plain,
( ~ neq(sk2,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_12) ).
fof(f879,plain,
( spl0_133
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f199,f244,f876]) ).
fof(f199,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f195,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_10) ).
fof(f874,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_18
| spl0_8
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f823,f766,f244,f293,f249,f213]) ).
fof(f766,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f823,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2)
| spl0_8
| ~ spl0_113 ),
inference(resolution,[],[f767,f246]) ).
fof(f767,plain,
( ! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f873,plain,
spl0_132,
inference(avatar_split_clause,[],[f119,f871]) ).
fof(f871,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause119) ).
fof(f869,plain,
spl0_131,
inference(avatar_split_clause,[],[f118,f867]) ).
fof(f867,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause118) ).
fof(f865,plain,
spl0_130,
inference(avatar_split_clause,[],[f109,f863]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause109) ).
fof(f861,plain,
spl0_129,
inference(avatar_split_clause,[],[f104,f859]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause104) ).
fof(f854,plain,
spl0_128,
inference(avatar_split_clause,[],[f116,f852]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause116) ).
fof(f850,plain,
spl0_127,
inference(avatar_split_clause,[],[f113,f848]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause113) ).
fof(f846,plain,
spl0_126,
inference(avatar_split_clause,[],[f112,f844]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause112) ).
fof(f820,plain,
spl0_125,
inference(avatar_split_clause,[],[f117,f818]) ).
fof(f818,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause117) ).
fof(f816,plain,
spl0_124,
inference(avatar_split_clause,[],[f115,f814]) ).
fof(f814,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause115) ).
fof(f812,plain,
spl0_123,
inference(avatar_split_clause,[],[f114,f810]) ).
fof(f810,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause114) ).
fof(f808,plain,
spl0_122,
inference(avatar_split_clause,[],[f111,f806]) ).
fof(f806,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause111) ).
fof(f804,plain,
spl0_121,
inference(avatar_split_clause,[],[f110,f802]) ).
fof(f802,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause110) ).
fof(f796,plain,
spl0_120,
inference(avatar_split_clause,[],[f108,f794]) ).
fof(f794,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause108) ).
fof(f792,plain,
spl0_119,
inference(avatar_split_clause,[],[f107,f790]) ).
fof(f790,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause107) ).
fof(f788,plain,
spl0_118,
inference(avatar_split_clause,[],[f106,f786]) ).
fof(f786,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause106) ).
fof(f784,plain,
spl0_117,
inference(avatar_split_clause,[],[f105,f782]) ).
fof(f782,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause105) ).
fof(f780,plain,
spl0_116,
inference(avatar_split_clause,[],[f103,f778]) ).
fof(f778,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause103) ).
fof(f776,plain,
spl0_115,
inference(avatar_split_clause,[],[f102,f774]) ).
fof(f774,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause102) ).
fof(f772,plain,
spl0_114,
inference(avatar_split_clause,[],[f101,f770]) ).
fof(f770,plain,
( spl0_114
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause101) ).
fof(f768,plain,
spl0_113,
inference(avatar_split_clause,[],[f100,f766]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause100) ).
fof(f764,plain,
spl0_112,
inference(avatar_split_clause,[],[f97,f762]) ).
fof(f762,plain,
( spl0_112
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause97) ).
fof(f760,plain,
spl0_111,
inference(avatar_split_clause,[],[f96,f758]) ).
fof(f758,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause96) ).
fof(f754,plain,
( spl0_110
| ~ spl0_2
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f633,f571,f213,f751]) ).
fof(f751,plain,
( spl0_110
<=> sk2 = app(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f633,plain,
( sk2 = app(nil,sk2)
| ~ spl0_2
| ~ spl0_86 ),
inference(resolution,[],[f572,f215]) ).
fof(f749,plain,
spl0_109,
inference(avatar_split_clause,[],[f99,f747]) ).
fof(f747,plain,
( spl0_109
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause99) ).
fof(f745,plain,
spl0_108,
inference(avatar_split_clause,[],[f98,f743]) ).
fof(f743,plain,
( spl0_108
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause98) ).
fof(f741,plain,
spl0_107,
inference(avatar_split_clause,[],[f95,f739]) ).
fof(f739,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause95) ).
fof(f737,plain,
spl0_106,
inference(avatar_split_clause,[],[f94,f735]) ).
fof(f735,plain,
( spl0_106
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause94) ).
fof(f733,plain,
spl0_105,
inference(avatar_split_clause,[],[f93,f731]) ).
fof(f731,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause93) ).
fof(f729,plain,
spl0_104,
inference(avatar_split_clause,[],[f92,f727]) ).
fof(f727,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause92) ).
fof(f725,plain,
spl0_103,
inference(avatar_split_clause,[],[f91,f723]) ).
fof(f723,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause91) ).
fof(f721,plain,
spl0_102,
inference(avatar_split_clause,[],[f90,f719]) ).
fof(f719,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause90) ).
fof(f717,plain,
spl0_101,
inference(avatar_split_clause,[],[f89,f715]) ).
fof(f715,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause89) ).
fof(f713,plain,
( spl0_100
| ~ spl0_1
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f632,f571,f208,f710]) ).
fof(f710,plain,
( spl0_100
<=> sk1 = app(nil,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f632,plain,
( sk1 = app(nil,sk1)
| ~ spl0_1
| ~ spl0_86 ),
inference(resolution,[],[f572,f210]) ).
fof(f210,plain,
( ssList(sk1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f708,plain,
spl0_99,
inference(avatar_split_clause,[],[f88,f706]) ).
fof(f706,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause88) ).
fof(f704,plain,
spl0_98,
inference(avatar_split_clause,[],[f87,f702]) ).
fof(f702,plain,
( spl0_98
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause87) ).
fof(f681,plain,
( spl0_97
| ~ spl0_2
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f603,f567,f213,f678]) ).
fof(f678,plain,
( spl0_97
<=> sk2 = app(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f603,plain,
( sk2 = app(sk2,nil)
| ~ spl0_2
| ~ spl0_85 ),
inference(resolution,[],[f568,f215]) ).
fof(f674,plain,
spl0_96,
inference(avatar_split_clause,[],[f86,f672]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause86) ).
fof(f670,plain,
spl0_95,
inference(avatar_split_clause,[],[f85,f668]) ).
fof(f668,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause85) ).
fof(f666,plain,
spl0_94,
inference(avatar_split_clause,[],[f84,f664]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause84) ).
fof(f662,plain,
spl0_93,
inference(avatar_split_clause,[],[f83,f660]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause83) ).
fof(f658,plain,
spl0_92,
inference(avatar_split_clause,[],[f82,f656]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause82) ).
fof(f654,plain,
spl0_91,
inference(avatar_split_clause,[],[f81,f652]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause81) ).
fof(f650,plain,
spl0_90,
inference(avatar_split_clause,[],[f80,f648]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause80) ).
fof(f646,plain,
spl0_89,
inference(avatar_split_clause,[],[f79,f644]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause79) ).
fof(f642,plain,
spl0_88,
inference(avatar_split_clause,[],[f77,f640]) ).
fof(f640,plain,
( spl0_88
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause77) ).
fof(f638,plain,
( spl0_87
| ~ spl0_1
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f602,f567,f208,f635]) ).
fof(f602,plain,
( sk1 = app(sk1,nil)
| ~ spl0_1
| ~ spl0_85 ),
inference(resolution,[],[f568,f210]) ).
fof(f573,plain,
spl0_86,
inference(avatar_split_clause,[],[f74,f571]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause74) ).
fof(f569,plain,
spl0_85,
inference(avatar_split_clause,[],[f73,f567]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause73) ).
fof(f565,plain,
( spl0_7
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f564,plain,
( $false
| spl0_7
| ~ spl0_83 ),
inference(resolution,[],[f559,f241]) ).
fof(f241,plain,
( ~ ssItem(sk5)
| spl0_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f559,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl0_83
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f563,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f72,f561,f558]) ).
fof(f561,plain,
( spl0_84
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause72) ).
fof(f556,plain,
spl0_82,
inference(avatar_split_clause,[],[f70,f554]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause70) ).
fof(f552,plain,
spl0_81,
inference(avatar_split_clause,[],[f69,f550]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause69) ).
fof(f548,plain,
spl0_80,
inference(avatar_split_clause,[],[f68,f546]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause68) ).
fof(f544,plain,
spl0_79,
inference(avatar_split_clause,[],[f67,f542]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause67) ).
fof(f540,plain,
spl0_78,
inference(avatar_split_clause,[],[f66,f538]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause66) ).
fof(f536,plain,
spl0_77,
inference(avatar_split_clause,[],[f65,f534]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause65) ).
fof(f532,plain,
spl0_76,
inference(avatar_split_clause,[],[f64,f530]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause64) ).
fof(f528,plain,
spl0_75,
inference(avatar_split_clause,[],[f71,f526]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause71) ).
fof(f524,plain,
spl0_74,
inference(avatar_split_clause,[],[f63,f522]) ).
fof(f522,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause63) ).
fof(f520,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f518]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause62) ).
fof(f516,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f514]) ).
fof(f514,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause61) ).
fof(f512,plain,
spl0_71,
inference(avatar_split_clause,[],[f60,f510]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause60) ).
fof(f508,plain,
spl0_70,
inference(avatar_split_clause,[],[f59,f506]) ).
fof(f506,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause59) ).
fof(f504,plain,
spl0_69,
inference(avatar_split_clause,[],[f58,f502]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause58) ).
fof(f500,plain,
spl0_68,
inference(avatar_split_clause,[],[f57,f498]) ).
fof(f498,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause57) ).
fof(f496,plain,
spl0_67,
inference(avatar_split_clause,[],[f56,f494]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause56) ).
fof(f492,plain,
spl0_66,
inference(avatar_split_clause,[],[f55,f490]) ).
fof(f490,plain,
( spl0_66
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause55) ).
fof(f488,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f486]) ).
fof(f486,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause53) ).
fof(f484,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f482]) ).
fof(f482,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause52) ).
fof(f480,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f478]) ).
fof(f478,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause51) ).
fof(f476,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f474]) ).
fof(f474,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause50) ).
fof(f472,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f470]) ).
fof(f470,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause49) ).
fof(f468,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f466]) ).
fof(f466,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause48) ).
fof(f464,plain,
spl0_59,
inference(avatar_split_clause,[],[f192,f462]) ).
fof(f192,axiom,
! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| sk1 != app(X7,X6)
| sk2 != app(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_7) ).
fof(f460,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f54,f457]) ).
fof(f457,plain,
( spl0_58
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause54) ).
fof(f455,plain,
spl0_57,
inference(avatar_split_clause,[],[f47,f453]) ).
fof(f453,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause47) ).
fof(f451,plain,
spl0_56,
inference(avatar_split_clause,[],[f46,f449]) ).
fof(f449,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause46) ).
fof(f447,plain,
spl0_55,
inference(avatar_split_clause,[],[f45,f445]) ).
fof(f445,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause45) ).
fof(f443,plain,
spl0_54,
inference(avatar_split_clause,[],[f44,f441]) ).
fof(f441,plain,
( spl0_54
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause44) ).
fof(f439,plain,
spl0_53,
inference(avatar_split_clause,[],[f43,f437]) ).
fof(f437,plain,
( spl0_53
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause43) ).
fof(f435,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f433]) ).
fof(f433,plain,
( spl0_52
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause42) ).
fof(f431,plain,
spl0_51,
inference(avatar_split_clause,[],[f41,f429]) ).
fof(f429,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause41) ).
fof(f427,plain,
spl0_50,
inference(avatar_split_clause,[],[f40,f425]) ).
fof(f425,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause40) ).
fof(f423,plain,
spl0_49,
inference(avatar_split_clause,[],[f39,f421]) ).
fof(f421,plain,
( spl0_49
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause39) ).
fof(f419,plain,
spl0_48,
inference(avatar_split_clause,[],[f38,f417]) ).
fof(f417,plain,
( spl0_48
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause38) ).
fof(f415,plain,
spl0_47,
inference(avatar_split_clause,[],[f37,f413]) ).
fof(f413,plain,
( spl0_47
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause37) ).
fof(f411,plain,
spl0_46,
inference(avatar_split_clause,[],[f36,f409]) ).
fof(f409,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause36) ).
fof(f407,plain,
spl0_45,
inference(avatar_split_clause,[],[f35,f405]) ).
fof(f405,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause35) ).
fof(f403,plain,
spl0_44,
inference(avatar_split_clause,[],[f34,f401]) ).
fof(f401,plain,
( spl0_44
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause34) ).
fof(f399,plain,
spl0_43,
inference(avatar_split_clause,[],[f33,f397]) ).
fof(f397,plain,
( spl0_43
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause33) ).
fof(f395,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f393]) ).
fof(f393,plain,
( spl0_42
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause32) ).
fof(f391,plain,
spl0_41,
inference(avatar_split_clause,[],[f31,f389]) ).
fof(f389,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause31) ).
fof(f387,plain,
spl0_40,
inference(avatar_split_clause,[],[f30,f385]) ).
fof(f385,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause30) ).
fof(f383,plain,
spl0_39,
inference(avatar_split_clause,[],[f29,f381]) ).
fof(f381,plain,
( spl0_39
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause29) ).
fof(f379,plain,
spl0_38,
inference(avatar_split_clause,[],[f28,f377]) ).
fof(f377,plain,
( spl0_38
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause28) ).
fof(f375,plain,
spl0_37,
inference(avatar_split_clause,[],[f27,f373]) ).
fof(f373,plain,
( spl0_37
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause27) ).
fof(f371,plain,
spl0_36,
inference(avatar_split_clause,[],[f26,f369]) ).
fof(f369,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause26) ).
fof(f367,plain,
spl0_35,
inference(avatar_split_clause,[],[f25,f365]) ).
fof(f365,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause25) ).
fof(f363,plain,
spl0_34,
inference(avatar_split_clause,[],[f24,f361]) ).
fof(f361,plain,
( spl0_34
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause24) ).
fof(f359,plain,
spl0_33,
inference(avatar_split_clause,[],[f23,f357]) ).
fof(f357,plain,
( spl0_33
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause23) ).
fof(f355,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f353]) ).
fof(f353,plain,
( spl0_32
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause22) ).
fof(f351,plain,
spl0_31,
inference(avatar_split_clause,[],[f21,f349]) ).
fof(f349,plain,
( spl0_31
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause21) ).
fof(f347,plain,
spl0_30,
inference(avatar_split_clause,[],[f20,f345]) ).
fof(f345,plain,
( spl0_30
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause20) ).
fof(f343,plain,
spl0_29,
inference(avatar_split_clause,[],[f19,f341]) ).
fof(f341,plain,
( spl0_29
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause19) ).
fof(f339,plain,
spl0_28,
inference(avatar_split_clause,[],[f18,f337]) ).
fof(f337,plain,
( spl0_28
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause18) ).
fof(f335,plain,
spl0_27,
inference(avatar_split_clause,[],[f17,f333]) ).
fof(f333,plain,
( spl0_27
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause17) ).
fof(f331,plain,
spl0_26,
inference(avatar_split_clause,[],[f16,f329]) ).
fof(f329,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause16) ).
fof(f327,plain,
spl0_25,
inference(avatar_split_clause,[],[f15,f325]) ).
fof(f325,plain,
( spl0_25
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause15) ).
fof(f323,plain,
spl0_24,
inference(avatar_split_clause,[],[f14,f321]) ).
fof(f321,plain,
( spl0_24
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause14) ).
fof(f319,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f317]) ).
fof(f317,plain,
( spl0_23
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause13) ).
fof(f315,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f313]) ).
fof(f313,plain,
( spl0_22
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause12) ).
fof(f311,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f11,f308]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause11) ).
fof(f306,plain,
spl0_20,
inference(avatar_split_clause,[],[f10,f303]) ).
fof(f303,plain,
( spl0_20
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause10) ).
fof(f301,plain,
spl0_19,
inference(avatar_split_clause,[],[f9,f298]) ).
fof(f298,plain,
( spl0_19
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause9) ).
fof(f296,plain,
spl0_18,
inference(avatar_split_clause,[],[f8,f293]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause8) ).
fof(f291,plain,
spl0_17,
inference(avatar_split_clause,[],[f7,f288]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause7) ).
fof(f286,plain,
spl0_16,
inference(avatar_split_clause,[],[f6,f283]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause6) ).
fof(f281,plain,
spl0_15,
inference(avatar_split_clause,[],[f5,f278]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause5) ).
fof(f276,plain,
spl0_14,
inference(avatar_split_clause,[],[f4,f273]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause4) ).
fof(f271,plain,
spl0_13,
inference(avatar_split_clause,[],[f3,f268]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause3) ).
fof(f266,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f263]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause2) ).
fof(f261,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f258]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',clause1) ).
fof(f256,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f202,f253,f249]) ).
fof(f202,plain,
( sk1 = sk2
| nil != sk2 ),
inference(inner_rewriting,[],[f201]) ).
fof(f201,plain,
( nil = sk1
| nil != sk2 ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f200,plain,
( nil != sk2
| nil = sk3 ),
inference(forward_demodulation,[],[f193,f190]) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_8) ).
fof(f247,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f198,f244,f240]) ).
fof(f198,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_9) ).
fof(f238,plain,
spl0_6,
inference(avatar_split_clause,[],[f191,f235]) ).
fof(f235,plain,
( spl0_6
<=> sk1 = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f233,plain,
spl0_5,
inference(avatar_split_clause,[],[f190,f230]) ).
fof(f230,plain,
( spl0_5
<=> sk2 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f227,plain,
spl0_4,
inference(avatar_split_clause,[],[f189,f224]) ).
fof(f224,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_4) ).
fof(f221,plain,
spl0_3,
inference(avatar_split_clause,[],[f188,f218]) ).
fof(f218,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_3) ).
fof(f216,plain,
spl0_2,
inference(avatar_split_clause,[],[f187,f213]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_2) ).
fof(f211,plain,
spl0_1,
inference(avatar_split_clause,[],[f186,f208]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.QjBc3h5GYx/Vampire---4.8_24052',co1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 17:14:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.40 % (24163)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (24164)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41 % (24165)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (24168)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.18/0.41 % (24166)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (24169)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.18/0.41 % (24170)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.18/0.41 % (24167)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.42 TRYING [3]
% 0.18/0.43 TRYING [1]
% 0.18/0.44 TRYING [2]
% 0.18/0.46 TRYING [4]
% 0.18/0.46 % (24168)First to succeed.
% 0.18/0.47 % (24168)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.47 % (24168)------------------------------
% 0.18/0.47 % (24168)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.47 % (24168)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.47 % (24168)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (24168)Memory used [KB]: 7931
% 0.18/0.47 % (24168)Time elapsed: 0.058 s
% 0.18/0.47 % (24168)------------------------------
% 0.18/0.47 % (24168)------------------------------
% 0.18/0.47 % (24163)Success in time 0.125 s
% 0.18/0.47 % (24166)Refutation not found, SMT solver inside AVATAR returned Unknown% (24166)------------------------------
% 0.18/0.47 % (24166)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.47 % (24166)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.47 % (24166)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.18/0.47
% 0.18/0.47 % (24166)Memory used [KB]: 5628
% 0.18/0.47 % (24166)Time elapsed: 0.063 s
% 0.18/0.47 % (24166)------------------------------
% 0.18/0.47 % (24166)------------------------------
% 0.18/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------