TSTP Solution File: SWV453+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV453+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:58:09 EDT 2024
% Result : Theorem 1.47s 0.54s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 525
% Syntax : Number of formulae : 1756 ( 249 unt; 0 def)
% Number of atoms : 5976 (1202 equ)
% Maximal formula atoms : 100 ( 3 avg)
% Number of connectives : 7398 (3178 ~;3237 |; 419 &)
% ( 484 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 459 ( 457 usr; 451 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 22 con; 0-2 aty)
% Number of variables : 2275 (2216 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5763,plain,
$false,
inference(avatar_sat_refutation,[],[f346,f351,f356,f361,f366,f371,f376,f381,f386,f391,f396,f407,f412,f421,f426,f434,f440,f445,f449,f455,f459,f472,f476,f485,f489,f506,f515,f520,f530,f535,f540,f545,f550,f555,f560,f564,f569,f573,f577,f581,f585,f590,f594,f598,f603,f605,f610,f616,f651,f655,f659,f663,f672,f676,f680,f684,f688,f692,f696,f700,f704,f708,f712,f716,f720,f724,f728,f732,f736,f740,f744,f754,f760,f764,f768,f772,f776,f780,f784,f788,f792,f796,f800,f804,f811,f822,f826,f830,f834,f838,f842,f846,f857,f866,f870,f874,f878,f882,f886,f891,f895,f899,f903,f907,f911,f915,f924,f942,f962,f966,f970,f974,f978,f1010,f1014,f1018,f1022,f1026,f1030,f1034,f1038,f1078,f1082,f1086,f1090,f1094,f1139,f1143,f1147,f1156,f1171,f1175,f1194,f1200,f1205,f1215,f1224,f1232,f1236,f1241,f1245,f1250,f1254,f1258,f1262,f1271,f1278,f1316,f1320,f1338,f1342,f1346,f1355,f1359,f1371,f1383,f1393,f1416,f1421,f1422,f1435,f1446,f1455,f1480,f1493,f1501,f1507,f1511,f1515,f1519,f1523,f1527,f1562,f1590,f1598,f1602,f1606,f1616,f1620,f1624,f1628,f1632,f1636,f1640,f1652,f1687,f1691,f1700,f1707,f1711,f1715,f1719,f1723,f1759,f1763,f1767,f1771,f1775,f1788,f1837,f1856,f1860,f1864,f1868,f1872,f1881,f1885,f1889,f1893,f1897,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2063,f2075,f2079,f2083,f2117,f2121,f2125,f2170,f2174,f2178,f2182,f2186,f2230,f2272,f2276,f2307,f2311,f2315,f2321,f2387,f2391,f2397,f2401,f2405,f2409,f2413,f2417,f2421,f2425,f2438,f2457,f2461,f2466,f2471,f2476,f2481,f2486,f2491,f2520,f2525,f2537,f2582,f2588,f2599,f2608,f2611,f2612,f2630,f2631,f2638,f2653,f2658,f2663,f2668,f2673,f2707,f2731,f2739,f2747,f2759,f2771,f2775,f2780,f2785,f2790,f2798,f2806,f2810,f2815,f2820,f2824,f2828,f2832,f2843,f2867,f2871,f2875,f2908,f2912,f2917,f2919,f2935,f2943,f2947,f2951,f2958,f2962,f2966,f2981,f2989,f2995,f3002,f3003,f3017,f3022,f3032,f3036,f3046,f3050,f3054,f3107,f3125,f3129,f3133,f3153,f3157,f3158,f3164,f3173,f3187,f3191,f3211,f3215,f3221,f3225,f3229,f3233,f3237,f3241,f3246,f3250,f3368,f3374,f3381,f3399,f3405,f3410,f3414,f3418,f3422,f3426,f3430,f3434,f3438,f3591,f3595,f3600,f3605,f3615,f3619,f3623,f3627,f3631,f3635,f3639,f3643,f3647,f3651,f3858,f3862,f3866,f3870,f3874,f3878,f3882,f3886,f3890,f4057,f4061,f4065,f4069,f4073,f4077,f4081,f4085,f4089,f4093,f4097,f4101,f4105,f4109,f4113,f4358,f4541,f4545,f4546,f4552,f4562,f4566,f4570,f4574,f4578,f4582,f4586,f4603,f4607,f4611,f4615,f4619,f4623,f4627,f4631,f4635,f4639,f4940,f5016,f5020,f5040,f5044,f5048,f5052,f5056,f5060,f5064,f5068,f5072,f5076,f5081,f5085,f5089,f5093,f5097,f5101,f5105,f5574,f5696,f5700,f5704,f5708,f5712,f5716,f5721,f5725,f5729,f5733,f5737,f5741,f5745,f5749,f5753,f5757,f5758,f5762]) ).
fof(f5762,plain,
( ~ spl13_17
| spl13_14
| ~ spl13_271 ),
inference(avatar_split_clause,[],[f5759,f2627,f409,f423]) ).
fof(f423,plain,
( spl13_17
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f409,plain,
( spl13_14
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f2627,plain,
( spl13_271
<=> sK6 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_271])]) ).
fof(f5759,plain,
( ~ setIn(sK8,alive)
| spl13_14
| ~ spl13_271 ),
inference(forward_demodulation,[],[f410,f2628]) ).
fof(f2628,plain,
( sK6 = sK8
| ~ spl13_271 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f410,plain,
( ~ setIn(sK6,alive)
| spl13_14 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f5758,plain,
( ~ spl13_3
| ~ spl13_137
| spl13_434 ),
inference(avatar_split_clause,[],[f5717,f5571,f1198,f353]) ).
fof(f353,plain,
( spl13_3
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1198,plain,
( spl13_137
<=> ! [X0] :
( elem(X0,queue(host(sK9)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).
fof(f5571,plain,
( spl13_434
<=> elem(m_Down(sK7),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_434])]) ).
fof(f5717,plain,
( ~ elem(m_Down(sK7),sK2)
| ~ spl13_137
| spl13_434 ),
inference(resolution,[],[f5573,f1199]) ).
fof(f1199,plain,
( ! [X0] :
( elem(X0,queue(host(sK9)))
| ~ elem(X0,sK2) )
| ~ spl13_137 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f5573,plain,
( ~ elem(m_Down(sK7),queue(host(sK9)))
| spl13_434 ),
inference(avatar_component_clause,[],[f5571]) ).
fof(f5757,plain,
( spl13_450
| ~ spl13_91
| ~ spl13_242 ),
inference(avatar_split_clause,[],[f2279,f2270,f832,f5755]) ).
fof(f5755,plain,
( spl13_450
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_450])]) ).
fof(f832,plain,
( spl13_91
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f2270,plain,
( spl13_242
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_242])]) ).
fof(f2279,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) )
| ~ spl13_91
| ~ spl13_242 ),
inference(resolution,[],[f2271,f833]) ).
fof(f833,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl13_91 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f2271,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_242 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f5753,plain,
( spl13_449
| ~ spl13_108
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2205,f2168,f913,f5751]) ).
fof(f5751,plain,
( spl13_449
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_449])]) ).
fof(f913,plain,
( spl13_108
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f2168,plain,
( spl13_235
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_235])]) ).
fof(f2205,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_108
| ~ spl13_235 ),
inference(superposition,[],[f914,f2169]) ).
fof(f2169,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_235 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl13_108 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f5749,plain,
( spl13_448
| ~ spl13_91
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2204,f2168,f832,f5747]) ).
fof(f5747,plain,
( spl13_448
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_448])]) ).
fof(f2204,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_91
| ~ spl13_235 ),
inference(superposition,[],[f833,f2169]) ).
fof(f5745,plain,
( spl13_447
| ~ spl13_227
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2197,f2168,f2005,f5743]) ).
fof(f5743,plain,
( spl13_447
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_447])]) ).
fof(f2005,plain,
( spl13_227
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_227])]) ).
fof(f2197,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_227
| ~ spl13_235 ),
inference(superposition,[],[f2006,f2169]) ).
fof(f2006,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_227 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f5741,plain,
( spl13_446
| ~ spl13_226
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2192,f2168,f2001,f5739]) ).
fof(f5739,plain,
( spl13_446
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_446])]) ).
fof(f2001,plain,
( spl13_226
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_226])]) ).
fof(f2192,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_226
| ~ spl13_235 ),
inference(superposition,[],[f2002,f2169]) ).
fof(f2002,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_226 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f5737,plain,
( spl13_445
| ~ spl13_117
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2102,f2077,f1008,f5735]) ).
fof(f5735,plain,
( spl13_445
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_445])]) ).
fof(f1008,plain,
( spl13_117
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f2077,plain,
( spl13_230
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_230])]) ).
fof(f2102,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_230 ),
inference(superposition,[],[f2078,f1009]) ).
fof(f1009,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl13_117 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f2078,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_230 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f5733,plain,
( spl13_444
| ~ spl13_187
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2097,f2073,f1626,f5731]) ).
fof(f5731,plain,
( spl13_444
<=> ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_444])]) ).
fof(f1626,plain,
( spl13_187
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).
fof(f2073,plain,
( spl13_229
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_229])]) ).
fof(f2097,plain,
( ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) )
| ~ spl13_187
| ~ spl13_229 ),
inference(resolution,[],[f2074,f1627]) ).
fof(f1627,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl13_187 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f2074,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl13_229 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f5729,plain,
( spl13_443
| ~ spl13_186
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2093,f2073,f1622,f5727]) ).
fof(f5727,plain,
( spl13_443
<=> ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_443])]) ).
fof(f1622,plain,
( spl13_186
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).
fof(f2093,plain,
( ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) )
| ~ spl13_186
| ~ spl13_229 ),
inference(resolution,[],[f2074,f1623]) ).
fof(f1623,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl13_186 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f5725,plain,
( spl13_442
| ~ spl13_117
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2055,f2001,f1008,f5723]) ).
fof(f5723,plain,
( spl13_442
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_442])]) ).
fof(f2055,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_226 ),
inference(superposition,[],[f2002,f1009]) ).
fof(f5721,plain,
( spl13_441
| ~ spl13_113
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2053,f2001,f964,f5719]) ).
fof(f5719,plain,
( spl13_441
<=> ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_441])]) ).
fof(f964,plain,
( spl13_113
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f2053,plain,
( ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) )
| ~ spl13_113
| ~ spl13_226 ),
inference(resolution,[],[f2002,f965]) ).
fof(f965,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl13_113 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f5716,plain,
( spl13_440
| ~ spl13_197
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2046,f1997,f1709,f5714]) ).
fof(f5714,plain,
( spl13_440
<=> ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_440])]) ).
fof(f1709,plain,
( spl13_197
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).
fof(f1997,plain,
( spl13_225
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_225])]) ).
fof(f2046,plain,
( ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) )
| ~ spl13_197
| ~ spl13_225 ),
inference(resolution,[],[f1998,f1710]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl13_197 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1998,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 )
| ~ spl13_225 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f5712,plain,
( spl13_439
| ~ spl13_116
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2041,f1997,f976,f5710]) ).
fof(f5710,plain,
( spl13_439
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_439])]) ).
fof(f976,plain,
( spl13_116
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f2041,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl13_116
| ~ spl13_225 ),
inference(resolution,[],[f1998,f977]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl13_116 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f5708,plain,
( spl13_438
| ~ spl13_207
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2040,f1997,f1835,f5706]) ).
fof(f5706,plain,
( spl13_438
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_438])]) ).
fof(f1835,plain,
( spl13_207
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_207])]) ).
fof(f2040,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl13_207
| ~ spl13_225 ),
inference(resolution,[],[f1998,f1836]) ).
fof(f1836,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl13_207 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f5704,plain,
( spl13_437
| ~ spl13_127
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1969,f1895,f1084,f5702]) ).
fof(f5702,plain,
( spl13_437
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_437])]) ).
fof(f1084,plain,
( spl13_127
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f1895,plain,
( spl13_218
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_218])]) ).
fof(f1969,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) )
| ~ spl13_127
| ~ spl13_218 ),
inference(superposition,[],[f1896,f1085]) ).
fof(f1085,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl13_127 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1896,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_218 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f5700,plain,
( spl13_436
| ~ spl13_127
| ~ spl13_217 ),
inference(avatar_split_clause,[],[f1957,f1891,f1084,f5698]) ).
fof(f5698,plain,
( spl13_436
<=> ! [X0,X3,X2,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_436])]) ).
fof(f1891,plain,
( spl13_217
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_217])]) ).
fof(f1957,plain,
( ! [X2,X3,X0,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl13_127
| ~ spl13_217 ),
inference(superposition,[],[f1892,f1085]) ).
fof(f1892,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_217 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f5696,plain,
( spl13_435
| ~ spl13_209
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1949,f1887,f1858,f5694]) ).
fof(f5694,plain,
( spl13_435
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK12(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_435])]) ).
fof(f1858,plain,
( spl13_209
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_209])]) ).
fof(f1887,plain,
( spl13_216
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_216])]) ).
fof(f1949,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK12(X0,X1)))) )
| ~ spl13_209
| ~ spl13_216 ),
inference(resolution,[],[f1888,f1859]) ).
fof(f1859,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl13_209 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1888,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_216 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f5574,plain,
( ~ spl13_434
| ~ spl13_343 ),
inference(avatar_split_clause,[],[f4557,f3379,f5571]) ).
fof(f3379,plain,
( spl13_343
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_343])]) ).
fof(f4557,plain,
( ~ elem(m_Down(sK7),queue(host(sK9)))
| ~ spl13_343 ),
inference(equality_resolution,[],[f3380]) ).
fof(f3380,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(sK9))) )
| ~ spl13_343 ),
inference(avatar_component_clause,[],[f3379]) ).
fof(f5105,plain,
( spl13_433
| ~ spl13_108
| ~ spl13_243 ),
inference(avatar_split_clause,[],[f2291,f2274,f913,f5103]) ).
fof(f5103,plain,
( spl13_433
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_433])]) ).
fof(f2274,plain,
( spl13_243
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_243])]) ).
fof(f2291,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) )
| ~ spl13_108
| ~ spl13_243 ),
inference(resolution,[],[f2275,f914]) ).
fof(f2275,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_243 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f5101,plain,
( spl13_432
| ~ spl13_80
| ~ spl13_242 ),
inference(avatar_split_clause,[],[f2280,f2270,f778,f5099]) ).
fof(f5099,plain,
( spl13_432
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_432])]) ).
fof(f778,plain,
( spl13_80
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f2280,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) )
| ~ spl13_80
| ~ spl13_242 ),
inference(resolution,[],[f2271,f779]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl13_80 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f5097,plain,
( spl13_431
| ~ spl13_218
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2193,f2168,f1895,f5095]) ).
fof(f5095,plain,
( spl13_431
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_431])]) ).
fof(f2193,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_218
| ~ spl13_235 ),
inference(superposition,[],[f1896,f2169]) ).
fof(f5093,plain,
( spl13_430
| ~ spl13_129
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2100,f2077,f1092,f5091]) ).
fof(f5091,plain,
( spl13_430
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_430])]) ).
fof(f1092,plain,
( spl13_129
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).
fof(f2100,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl13_129
| ~ spl13_230 ),
inference(resolution,[],[f2078,f1093]) ).
fof(f1093,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_129 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f5089,plain,
( spl13_429
| ~ spl13_103
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2085,f2073,f893,f5087]) ).
fof(f5087,plain,
( spl13_429
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_429])]) ).
fof(f893,plain,
( spl13_103
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f2085,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) )
| ~ spl13_103
| ~ spl13_229 ),
inference(resolution,[],[f2074,f894]) ).
fof(f894,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl13_103 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f5085,plain,
( spl13_428
| ~ spl13_126
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2050,f1997,f1080,f5083]) ).
fof(f5083,plain,
( spl13_428
<=> ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_428])]) ).
fof(f1080,plain,
( spl13_126
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f2050,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_126
| ~ spl13_225 ),
inference(duplicate_literal_removal,[],[f2045]) ).
fof(f2045,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_126
| ~ spl13_225 ),
inference(resolution,[],[f1998,f1081]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl13_126 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f5081,plain,
( spl13_427
| ~ spl13_180
| ~ spl13_393 ),
inference(avatar_split_clause,[],[f4682,f4356,f1588,f5078]) ).
fof(f5078,plain,
( spl13_427
<=> leq(sK9,s(s(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_427])]) ).
fof(f1588,plain,
( spl13_180
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).
fof(f4356,plain,
( spl13_393
<=> ! [X0] :
( leq(sK9,X0)
| leq(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_393])]) ).
fof(f4682,plain,
( leq(sK9,s(s(sK8)))
| ~ spl13_180
| ~ spl13_393 ),
inference(resolution,[],[f4357,f1589]) ).
fof(f1589,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_180 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f4357,plain,
( ! [X0] :
( leq(sK9,X0)
| leq(X0,sK8) )
| ~ spl13_393 ),
inference(avatar_component_clause,[],[f4356]) ).
fof(f5076,plain,
( spl13_426
| ~ spl13_187
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2047,f1997,f1626,f5074]) ).
fof(f5074,plain,
( spl13_426
<=> ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_426])]) ).
fof(f2047,plain,
( ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) )
| ~ spl13_187
| ~ spl13_225 ),
inference(resolution,[],[f1998,f1627]) ).
fof(f5072,plain,
( spl13_425
| ~ spl13_186
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2043,f1997,f1622,f5070]) ).
fof(f5070,plain,
( spl13_425
<=> ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_425])]) ).
fof(f2043,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) )
| ~ spl13_186
| ~ spl13_225 ),
inference(resolution,[],[f1998,f1623]) ).
fof(f5068,plain,
( spl13_424
| ~ spl13_94
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2033,f1993,f844,f5066]) ).
fof(f5066,plain,
( spl13_424
<=> ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_424])]) ).
fof(f844,plain,
( spl13_94
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f1993,plain,
( spl13_224
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_224])]) ).
fof(f2033,plain,
( ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0) )
| ~ spl13_94
| ~ spl13_224 ),
inference(resolution,[],[f1994,f845]) ).
fof(f845,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl13_94 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1994,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_224 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f5064,plain,
( spl13_423
| ~ spl13_94
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2030,f1989,f844,f5062]) ).
fof(f5062,plain,
( spl13_423
<=> ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_423])]) ).
fof(f1989,plain,
( spl13_223
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_223])]) ).
fof(f2030,plain,
( ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0) )
| ~ spl13_94
| ~ spl13_223 ),
inference(resolution,[],[f1990,f845]) ).
fof(f1990,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_223 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f5060,plain,
( spl13_422
| ~ spl13_94
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2015,f1973,f844,f5058]) ).
fof(f5058,plain,
( spl13_422
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_422])]) ).
fof(f1973,plain,
( spl13_219
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_219])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) )
| ~ spl13_94
| ~ spl13_219 ),
inference(resolution,[],[f1974,f845]) ).
fof(f1974,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl13_219 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f5056,plain,
( spl13_421
| ~ spl13_113
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1966,f1895,f964,f5054]) ).
fof(f5054,plain,
( spl13_421
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_421])]) ).
fof(f1966,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl13_113
| ~ spl13_218 ),
inference(resolution,[],[f1896,f965]) ).
fof(f5052,plain,
( spl13_420
| ~ spl13_116
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1951,f1887,f976,f5050]) ).
fof(f5050,plain,
( spl13_420
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK12(X0,X1)))
| ~ leq(X2,pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_420])]) ).
fof(f1951,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK12(X0,X1)))
| ~ leq(X2,pidMsg(X0)) )
| ~ spl13_116
| ~ spl13_216 ),
inference(resolution,[],[f1888,f977]) ).
fof(f5048,plain,
( spl13_419
| ~ spl13_207
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1950,f1887,f1835,f5046]) ).
fof(f5046,plain,
( spl13_419
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_419])]) ).
fof(f1950,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK12(X0,X1))) )
| ~ spl13_207
| ~ spl13_216 ),
inference(resolution,[],[f1888,f1836]) ).
fof(f5044,plain,
( spl13_418
| ~ spl13_105
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1944,f1883,f901,f5042]) ).
fof(f5042,plain,
( spl13_418
<=> ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_418])]) ).
fof(f901,plain,
( spl13_105
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f1883,plain,
( spl13_215
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_215])]) ).
fof(f1944,plain,
( ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) )
| ~ spl13_105
| ~ spl13_215 ),
inference(resolution,[],[f1884,f902]) ).
fof(f902,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl13_105 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1884,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_215 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f5040,plain,
( spl13_417
| ~ spl13_104
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1943,f1883,f897,f5038]) ).
fof(f5038,plain,
( spl13_417
<=> ! [X0,X1] :
( elem(sK11(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_417])]) ).
fof(f897,plain,
( spl13_104
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f1943,plain,
( ! [X0,X1] :
( elem(sK11(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl13_104
| ~ spl13_215 ),
inference(resolution,[],[f1884,f898]) ).
fof(f898,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl13_104 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f5020,plain,
( spl13_416
| ~ spl13_105
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1932,f1866,f901,f5018]) ).
fof(f5018,plain,
( spl13_416
<=> ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_416])]) ).
fof(f1866,plain,
( spl13_211
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_211])]) ).
fof(f1932,plain,
( ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) )
| ~ spl13_105
| ~ spl13_211 ),
inference(resolution,[],[f1867,f902]) ).
fof(f1867,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_211 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f5016,plain,
( spl13_415
| ~ spl13_104
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1931,f1866,f897,f5014]) ).
fof(f5014,plain,
( spl13_415
<=> ! [X0,X1] :
( elem(sK11(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_415])]) ).
fof(f1931,plain,
( ! [X0,X1] :
( elem(sK11(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl13_104
| ~ spl13_211 ),
inference(resolution,[],[f1867,f898]) ).
fof(f4940,plain,
( spl13_414
| ~ spl13_52
| ~ spl13_393 ),
inference(avatar_split_clause,[],[f4678,f4356,f653,f4937]) ).
fof(f4937,plain,
( spl13_414
<=> leq(sK9,s(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_414])]) ).
fof(f653,plain,
( spl13_52
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f4678,plain,
( leq(sK9,s(sK8))
| ~ spl13_52
| ~ spl13_393 ),
inference(resolution,[],[f4357,f654]) ).
fof(f654,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f4639,plain,
( spl13_413
| ~ spl13_39
| ~ spl13_88
| ~ spl13_245 ),
inference(avatar_split_clause,[],[f2361,f2309,f820,f562,f4637]) ).
fof(f4637,plain,
( spl13_413
<=> ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_413])]) ).
fof(f562,plain,
( spl13_39
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f820,plain,
( spl13_88
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f2309,plain,
( spl13_245
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_245])]) ).
fof(f2361,plain,
( ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_39
| ~ spl13_88
| ~ spl13_245 ),
inference(forward_demodulation,[],[f2360,f821]) ).
fof(f821,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f2360,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,q_nil)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_39
| ~ spl13_88
| ~ spl13_245 ),
inference(forward_demodulation,[],[f2348,f821]) ).
fof(f2348,plain,
( ! [X0,X1] :
( sK12(X0,snoc(q_nil,X1)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_39
| ~ spl13_245 ),
inference(resolution,[],[f2310,f563]) ).
fof(f563,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f2310,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,snoc(X1,X2)),X1)
| sK12(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_245 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f4635,plain,
( spl13_412
| ~ spl13_39
| ~ spl13_88
| ~ spl13_244 ),
inference(avatar_split_clause,[],[f2341,f2305,f820,f562,f4633]) ).
fof(f4633,plain,
( spl13_412
<=> ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_412])]) ).
fof(f2305,plain,
( spl13_244
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_244])]) ).
fof(f2341,plain,
( ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_39
| ~ spl13_88
| ~ spl13_244 ),
inference(forward_demodulation,[],[f2340,f821]) ).
fof(f2340,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,q_nil)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_39
| ~ spl13_88
| ~ spl13_244 ),
inference(forward_demodulation,[],[f2328,f821]) ).
fof(f2328,plain,
( ! [X0,X1] :
( sK11(X0,snoc(q_nil,X1)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_39
| ~ spl13_244 ),
inference(resolution,[],[f2306,f563]) ).
fof(f2306,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,snoc(X1,X2)),X1)
| sK11(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_244 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f4631,plain,
( spl13_411
| ~ spl13_56
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2268,f2184,f674,f4629]) ).
fof(f4629,plain,
( spl13_411
<=> ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_411])]) ).
fof(f674,plain,
( spl13_56
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f2184,plain,
( spl13_239
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_239])]) ).
fof(f2268,plain,
( ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_56
| ~ spl13_239 ),
inference(forward_demodulation,[],[f2255,f675]) ).
fof(f675,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl13_56 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f2255,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK10(m_Down(X0))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_56
| ~ spl13_239 ),
inference(superposition,[],[f675,f2185]) ).
fof(f2185,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK10(m_Down(X0)))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_239 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f4627,plain,
( spl13_410
| ~ spl13_55
| ~ spl13_56
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2250,f2180,f674,f670,f4625]) ).
fof(f4625,plain,
( spl13_410
<=> ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_410])]) ).
fof(f670,plain,
( spl13_55
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f2180,plain,
( spl13_238
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_238])]) ).
fof(f2250,plain,
( ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_55
| ~ spl13_56
| ~ spl13_238 ),
inference(forward_demodulation,[],[f2239,f671]) ).
fof(f671,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl13_55 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f2239,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK10(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_56
| ~ spl13_238 ),
inference(superposition,[],[f675,f2181]) ).
fof(f2181,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_238 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f4623,plain,
( spl13_409
| ~ spl13_64
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2240,f2180,f706,f4621]) ).
fof(f4621,plain,
( spl13_409
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_409])]) ).
fof(f706,plain,
( spl13_64
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f2240,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_64
| ~ spl13_238 ),
inference(superposition,[],[f707,f2181]) ).
fof(f707,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl13_64 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f4619,plain,
( spl13_408
| ~ spl13_80
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2203,f2168,f778,f4617]) ).
fof(f4617,plain,
( spl13_408
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_408])]) ).
fof(f2203,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_80
| ~ spl13_235 ),
inference(superposition,[],[f779,f2169]) ).
fof(f4615,plain,
( spl13_407
| ~ spl13_76
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2202,f2168,f762,f4613]) ).
fof(f4613,plain,
( spl13_407
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_407])]) ).
fof(f762,plain,
( spl13_76
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f2202,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_76
| ~ spl13_235 ),
inference(superposition,[],[f763,f2169]) ).
fof(f763,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f4611,plain,
( spl13_406
| ~ spl13_88
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2110,f2081,f820,f4609]) ).
fof(f4609,plain,
( spl13_406
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_406])]) ).
fof(f2081,plain,
( spl13_231
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_231])]) ).
fof(f2110,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl13_88
| ~ spl13_231 ),
inference(superposition,[],[f2082,f821]) ).
fof(f2082,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_231 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f4607,plain,
( spl13_405
| ~ spl13_88
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2101,f2077,f820,f4605]) ).
fof(f4605,plain,
( spl13_405
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_405])]) ).
fof(f2101,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl13_88
| ~ spl13_230 ),
inference(superposition,[],[f2078,f821]) ).
fof(f4603,plain,
( spl13_404
| ~ spl13_101
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2011,f1973,f884,f4601]) ).
fof(f4601,plain,
( spl13_404
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_404])]) ).
fof(f884,plain,
( spl13_101
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f2011,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl13_101
| ~ spl13_219 ),
inference(resolution,[],[f1974,f885]) ).
fof(f885,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f4586,plain,
( spl13_403
| ~ spl13_117
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1968,f1895,f1008,f4584]) ).
fof(f4584,plain,
( spl13_403
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_403])]) ).
fof(f1968,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_218 ),
inference(superposition,[],[f1896,f1009]) ).
fof(f4582,plain,
( spl13_402
| ~ spl13_117
| ~ spl13_217 ),
inference(avatar_split_clause,[],[f1956,f1891,f1008,f4580]) ).
fof(f4580,plain,
( spl13_402
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_402])]) ).
fof(f1956,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_217 ),
inference(superposition,[],[f1892,f1009]) ).
fof(f4578,plain,
( spl13_401
| ~ spl13_188
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1942,f1883,f1630,f4576]) ).
fof(f4576,plain,
( spl13_401
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_401])]) ).
fof(f1630,plain,
( spl13_188
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).
fof(f1942,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_188
| ~ spl13_215 ),
inference(resolution,[],[f1884,f1631]) ).
fof(f1631,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_188 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f4574,plain,
( spl13_400
| ~ spl13_189
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1941,f1883,f1634,f4572]) ).
fof(f4572,plain,
( spl13_400
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_400])]) ).
fof(f1634,plain,
( spl13_189
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).
fof(f1941,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_189
| ~ spl13_215 ),
inference(resolution,[],[f1884,f1635]) ).
fof(f1635,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_189 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f4570,plain,
( spl13_399
| ~ spl13_188
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1930,f1866,f1630,f4568]) ).
fof(f4568,plain,
( spl13_399
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_399])]) ).
fof(f1930,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_188
| ~ spl13_211 ),
inference(resolution,[],[f1867,f1631]) ).
fof(f4566,plain,
( spl13_398
| ~ spl13_189
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1929,f1866,f1634,f4564]) ).
fof(f4564,plain,
( spl13_398
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_398])]) ).
fof(f1929,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_189
| ~ spl13_211 ),
inference(resolution,[],[f1867,f1635]) ).
fof(f4562,plain,
( spl13_397
| ~ spl13_101
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1914,f1858,f884,f4560]) ).
fof(f4560,plain,
( spl13_397
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_397])]) ).
fof(f1914,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_101
| ~ spl13_209 ),
inference(resolution,[],[f1859,f885]) ).
fof(f4552,plain,
( ~ spl13_396
| ~ spl13_15
| spl13_346 ),
inference(avatar_split_clause,[],[f3406,f3402,f414,f4549]) ).
fof(f4549,plain,
( spl13_396
<=> elem(m_Down(sK8),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_396])]) ).
fof(f414,plain,
( spl13_15
<=> sK4 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f3402,plain,
( spl13_346
<=> elem(m_Down(sK4),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_346])]) ).
fof(f3406,plain,
( ~ elem(m_Down(sK8),queue(host(sK7)))
| ~ spl13_15
| spl13_346 ),
inference(forward_demodulation,[],[f3404,f415]) ).
fof(f415,plain,
( sK4 = sK8
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f3404,plain,
( ~ elem(m_Down(sK4),queue(host(sK7)))
| spl13_346 ),
inference(avatar_component_clause,[],[f3402]) ).
fof(f4546,plain,
( ~ spl13_20
| ~ spl13_342 ),
inference(avatar_split_clause,[],[f3386,f3376,f442]) ).
fof(f442,plain,
( spl13_20
<=> elem(m_Down(sK9),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f3376,plain,
( spl13_342
<=> ! [X1] :
( host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_342])]) ).
fof(f3386,plain,
( ~ elem(m_Down(sK9),queue(host(sK7)))
| ~ spl13_342 ),
inference(equality_resolution,[],[f3377]) ).
fof(f3377,plain,
( ! [X1] :
( host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(sK7))) )
| ~ spl13_342 ),
inference(avatar_component_clause,[],[f3376]) ).
fof(f4545,plain,
( spl13_395
| ~ spl13_192
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1913,f1858,f1685,f4543]) ).
fof(f4543,plain,
( spl13_395
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_395])]) ).
fof(f1685,plain,
( spl13_192
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).
fof(f1913,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl13_192
| ~ spl13_209 ),
inference(resolution,[],[f1859,f1686]) ).
fof(f1686,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl13_192 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f4541,plain,
( spl13_394
| ~ spl13_126
| ~ spl13_192 ),
inference(avatar_split_clause,[],[f1728,f1685,f1080,f4539]) ).
fof(f4539,plain,
( spl13_394
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_394])]) ).
fof(f1728,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_126
| ~ spl13_192 ),
inference(resolution,[],[f1686,f1081]) ).
fof(f4358,plain,
( spl13_393
| ~ spl13_166
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1852,f1835,f1418,f4356]) ).
fof(f1418,plain,
( spl13_166
<=> leq(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).
fof(f1852,plain,
( ! [X0] :
( leq(sK9,X0)
| leq(X0,sK8) )
| ~ spl13_166
| ~ spl13_207 ),
inference(resolution,[],[f1836,f1420]) ).
fof(f1420,plain,
( leq(sK9,sK8)
| ~ spl13_166 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f4113,plain,
( spl13_392
| ~ spl13_70
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2156,f2123,f730,f4111]) ).
fof(f4111,plain,
( spl13_392
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_392])]) ).
fof(f730,plain,
( spl13_70
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f2123,plain,
( spl13_234
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_234])]) ).
fof(f2156,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl13_70
| ~ spl13_234 ),
inference(resolution,[],[f2124,f731]) ).
fof(f731,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f2124,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_234 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f4109,plain,
( spl13_391
| ~ spl13_71
| ~ spl13_233 ),
inference(avatar_split_clause,[],[f2140,f2119,f734,f4107]) ).
fof(f4107,plain,
( spl13_391
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_391])]) ).
fof(f734,plain,
( spl13_71
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f2119,plain,
( spl13_233
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_233])]) ).
fof(f2140,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl13_71
| ~ spl13_233 ),
inference(resolution,[],[f2120,f735]) ).
fof(f735,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f2120,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_233 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f4105,plain,
( spl13_390
| ~ spl13_101
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2129,f2115,f884,f4103]) ).
fof(f4103,plain,
( spl13_390
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_390])]) ).
fof(f2115,plain,
( spl13_232
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_232])]) ).
fof(f2129,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl13_101
| ~ spl13_232 ),
inference(resolution,[],[f2116,f885]) ).
fof(f2116,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl13_232 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f4101,plain,
( spl13_389
| ~ spl13_91
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2108,f2081,f832,f4099]) ).
fof(f4099,plain,
( spl13_389
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_389])]) ).
fof(f2108,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_91
| ~ spl13_231 ),
inference(resolution,[],[f2082,f833]) ).
fof(f4097,plain,
( spl13_388
| ~ spl13_116
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1502,f1418,f976,f4095]) ).
fof(f4095,plain,
( spl13_388
<=> ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_388])]) ).
fof(f1502,plain,
( ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK9) )
| ~ spl13_116
| ~ spl13_166 ),
inference(resolution,[],[f1420,f977]) ).
fof(f4093,plain,
( spl13_387
| ~ spl13_88
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2068,f2005,f820,f4091]) ).
fof(f4091,plain,
( spl13_387
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_387])]) ).
fof(f2068,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl13_88
| ~ spl13_227 ),
inference(superposition,[],[f2006,f821]) ).
fof(f4089,plain,
( spl13_386
| ~ spl13_88
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2054,f2001,f820,f4087]) ).
fof(f4087,plain,
( spl13_386
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_386])]) ).
fof(f2054,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl13_88
| ~ spl13_226 ),
inference(superposition,[],[f2002,f821]) ).
fof(f4085,plain,
( spl13_385
| ~ spl13_101
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f2023,f1977,f884,f4083]) ).
fof(f4083,plain,
( spl13_385
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_385])]) ).
fof(f1977,plain,
( spl13_220
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_220])]) ).
fof(f2023,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl13_101
| ~ spl13_220 ),
inference(resolution,[],[f1978,f885]) ).
fof(f1978,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl13_220 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f4081,plain,
( spl13_384
| ~ spl13_192
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f2022,f1977,f1685,f4079]) ).
fof(f4079,plain,
( spl13_384
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_384])]) ).
fof(f2022,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl13_192
| ~ spl13_220 ),
inference(resolution,[],[f1978,f1686]) ).
fof(f4077,plain,
( spl13_383
| ~ spl13_56
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1954,f1887,f674,f4075]) ).
fof(f4075,plain,
( spl13_383
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_383])]) ).
fof(f1954,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_216 ),
inference(superposition,[],[f1888,f675]) ).
fof(f4073,plain,
( spl13_382
| ~ spl13_55
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1953,f1887,f670,f4071]) ).
fof(f4071,plain,
( spl13_382
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_382])]) ).
fof(f1953,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_216 ),
inference(superposition,[],[f1888,f671]) ).
fof(f4069,plain,
( spl13_381
| ~ spl13_94
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1908,f1858,f844,f4067]) ).
fof(f4067,plain,
( spl13_381
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_381])]) ).
fof(f1908,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_94
| ~ spl13_209 ),
inference(resolution,[],[f1859,f845]) ).
fof(f4065,plain,
( spl13_380
| ~ spl13_101
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1847,f1835,f884,f4063]) ).
fof(f4063,plain,
( spl13_380
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_380])]) ).
fof(f1847,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_101
| ~ spl13_207 ),
inference(resolution,[],[f1836,f885]) ).
fof(f4061,plain,
( spl13_379
| ~ spl13_192
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1846,f1835,f1685,f4059]) ).
fof(f4059,plain,
( spl13_379
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_379])]) ).
fof(f1846,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl13_192
| ~ spl13_207 ),
inference(resolution,[],[f1836,f1686]) ).
fof(f4057,plain,
( spl13_378
| ~ spl13_116
| ~ spl13_192 ),
inference(avatar_split_clause,[],[f1730,f1685,f976,f4055]) ).
fof(f4055,plain,
( spl13_378
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_378])]) ).
fof(f1730,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl13_116
| ~ spl13_192 ),
inference(resolution,[],[f1686,f977]) ).
fof(f3890,plain,
( spl13_377
| ~ spl13_75
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2201,f2168,f758,f3888]) ).
fof(f3888,plain,
( spl13_377
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_377])]) ).
fof(f758,plain,
( spl13_75
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f2201,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_75
| ~ spl13_235 ),
inference(superposition,[],[f759,f2169]) ).
fof(f759,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl13_75 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f3886,plain,
( spl13_376
| ~ spl13_80
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2109,f2081,f778,f3884]) ).
fof(f3884,plain,
( spl13_376
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_376])]) ).
fof(f2109,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_80
| ~ spl13_231 ),
inference(resolution,[],[f2082,f779]) ).
fof(f3882,plain,
( spl13_375
| ~ spl13_42
| ~ spl13_297 ),
inference(avatar_split_clause,[],[f2876,f2865,f575,f3880]) ).
fof(f3880,plain,
( spl13_375
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_375])]) ).
fof(f575,plain,
( spl13_42
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f2865,plain,
( spl13_297
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_297])]) ).
fof(f2876,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl13_42
| ~ spl13_297 ),
inference(resolution,[],[f2866,f576]) ).
fof(f576,plain,
( ! [X0] : leq(X0,X0)
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl13_297 ),
inference(avatar_component_clause,[],[f2865]) ).
fof(f3878,plain,
( spl13_374
| ~ spl13_91
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2066,f2005,f832,f3876]) ).
fof(f3876,plain,
( spl13_374
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_374])]) ).
fof(f2066,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl13_91
| ~ spl13_227 ),
inference(resolution,[],[f2006,f833]) ).
fof(f3874,plain,
( spl13_373
| ~ spl13_88
| ~ spl13_217 ),
inference(avatar_split_clause,[],[f1955,f1891,f820,f3872]) ).
fof(f3872,plain,
( spl13_373
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_373])]) ).
fof(f1955,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl13_88
| ~ spl13_217 ),
inference(superposition,[],[f1892,f821]) ).
fof(f3870,plain,
( spl13_372
| ~ spl13_79
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1906,f1858,f774,f3868]) ).
fof(f3868,plain,
( spl13_372
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_372])]) ).
fof(f774,plain,
( spl13_79
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f1906,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl13_79
| ~ spl13_209 ),
inference(resolution,[],[f1859,f775]) ).
fof(f775,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl13_79 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f3866,plain,
( spl13_371
| ~ spl13_94
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1841,f1835,f844,f3864]) ).
fof(f3864,plain,
( spl13_371
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_371])]) ).
fof(f1841,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_94
| ~ spl13_207 ),
inference(resolution,[],[f1836,f845]) ).
fof(f3862,plain,
( spl13_370
| ~ spl13_127
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1751,f1721,f1084,f3860]) ).
fof(f3860,plain,
( spl13_370
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_370])]) ).
fof(f1721,plain,
( spl13_200
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).
fof(f1751,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl13_127
| ~ spl13_200 ),
inference(superposition,[],[f1722,f1085]) ).
fof(f1722,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_200 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f3858,plain,
( spl13_369
| ~ spl13_117
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1750,f1721,f1008,f3856]) ).
fof(f3856,plain,
( spl13_369
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_369])]) ).
fof(f1750,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_200 ),
inference(superposition,[],[f1722,f1009]) ).
fof(f3651,plain,
( spl13_368
| ~ spl13_73
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2200,f2168,f742,f3649]) ).
fof(f3649,plain,
( spl13_368
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_368])]) ).
fof(f742,plain,
( spl13_73
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f2200,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_235 ),
inference(superposition,[],[f743,f2169]) ).
fof(f743,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f3647,plain,
( spl13_367
| ~ spl13_80
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2067,f2005,f778,f3645]) ).
fof(f3645,plain,
( spl13_367
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_367])]) ).
fof(f2067,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl13_80
| ~ spl13_227 ),
inference(resolution,[],[f2006,f779]) ).
fof(f3643,plain,
( spl13_366
| ~ spl13_57
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1912,f1858,f678,f3641]) ).
fof(f3641,plain,
( spl13_366
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_366])]) ).
fof(f678,plain,
( spl13_57
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f1912,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl13_57
| ~ spl13_209 ),
inference(resolution,[],[f1859,f679]) ).
fof(f679,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl13_57 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f3639,plain,
( spl13_365
| ~ spl13_79
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1839,f1835,f774,f3637]) ).
fof(f3637,plain,
( spl13_365
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_365])]) ).
fof(f1839,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl13_79
| ~ spl13_207 ),
inference(resolution,[],[f1836,f775]) ).
fof(f3635,plain,
( spl13_364
| ~ spl13_127
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1682,f1638,f1084,f3633]) ).
fof(f3633,plain,
( spl13_364
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_364])]) ).
fof(f1638,plain,
( spl13_190
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).
fof(f1682,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl13_127
| ~ spl13_190 ),
inference(superposition,[],[f1639,f1085]) ).
fof(f1639,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_190 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f3631,plain,
( spl13_363
| ~ spl13_117
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1681,f1638,f1008,f3629]) ).
fof(f3629,plain,
( spl13_363
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_363])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_190 ),
inference(superposition,[],[f1639,f1009]) ).
fof(f3627,plain,
( spl13_362
| ~ spl13_155
| ~ spl13_247 ),
inference(avatar_split_clause,[],[f2373,f2319,f1318,f3625]) ).
fof(f3625,plain,
( spl13_362
<=> ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK9)))) = X1
| sP1(X0,cons(X1,queue(host(sK9))))
| m_Down(sK5) = sK12(X0,cons(X1,queue(host(sK9))))
| elem(sK12(X0,cons(X1,queue(host(sK9)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_362])]) ).
fof(f1318,plain,
( spl13_155
<=> ! [X0] :
( ~ elem(X0,queue(host(sK9)))
| m_Down(sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).
fof(f2319,plain,
( spl13_247
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_247])]) ).
fof(f2373,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK9)))) = X1
| sP1(X0,cons(X1,queue(host(sK9))))
| m_Down(sK5) = sK12(X0,cons(X1,queue(host(sK9))))
| elem(sK12(X0,cons(X1,queue(host(sK9)))),sK2) )
| ~ spl13_155
| ~ spl13_247 ),
inference(resolution,[],[f2320,f1319]) ).
fof(f1319,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK9)))
| m_Down(sK5) = X0
| elem(X0,sK2) )
| ~ spl13_155 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f2320,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,cons(X1,X2)),X2)
| sK12(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl13_247 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f3623,plain,
( spl13_361
| ~ spl13_155
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2362,f2313,f1318,f3621]) ).
fof(f3621,plain,
( spl13_361
<=> ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK9)))) = X1
| sP0(X0,cons(X1,queue(host(sK9))))
| m_Down(sK5) = sK11(X0,cons(X1,queue(host(sK9))))
| elem(sK11(X0,cons(X1,queue(host(sK9)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_361])]) ).
fof(f2313,plain,
( spl13_246
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_246])]) ).
fof(f2362,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK9)))) = X1
| sP0(X0,cons(X1,queue(host(sK9))))
| m_Down(sK5) = sK11(X0,cons(X1,queue(host(sK9))))
| elem(sK11(X0,cons(X1,queue(host(sK9)))),sK2) )
| ~ spl13_155
| ~ spl13_246 ),
inference(resolution,[],[f2314,f1319]) ).
fof(f2314,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,cons(X1,X2)),X2)
| sK11(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl13_246 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f3619,plain,
( spl13_360
| ~ spl13_155
| ~ spl13_245 ),
inference(avatar_split_clause,[],[f2342,f2309,f1318,f3617]) ).
fof(f3617,plain,
( spl13_360
<=> ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK9)),X1)) = X1
| sP1(X0,snoc(queue(host(sK9)),X1))
| m_Down(sK5) = sK12(X0,snoc(queue(host(sK9)),X1))
| elem(sK12(X0,snoc(queue(host(sK9)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_360])]) ).
fof(f2342,plain,
( ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK9)),X1)) = X1
| sP1(X0,snoc(queue(host(sK9)),X1))
| m_Down(sK5) = sK12(X0,snoc(queue(host(sK9)),X1))
| elem(sK12(X0,snoc(queue(host(sK9)),X1)),sK2) )
| ~ spl13_155
| ~ spl13_245 ),
inference(resolution,[],[f2310,f1319]) ).
fof(f3615,plain,
( spl13_359
| ~ spl13_155
| ~ spl13_244 ),
inference(avatar_split_clause,[],[f2322,f2305,f1318,f3613]) ).
fof(f3613,plain,
( spl13_359
<=> ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK9)),X1)) = X1
| sP0(X0,snoc(queue(host(sK9)),X1))
| m_Down(sK5) = sK11(X0,snoc(queue(host(sK9)),X1))
| elem(sK11(X0,snoc(queue(host(sK9)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_359])]) ).
fof(f2322,plain,
( ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK9)),X1)) = X1
| sP0(X0,snoc(queue(host(sK9)),X1))
| m_Down(sK5) = sK11(X0,snoc(queue(host(sK9)),X1))
| elem(sK11(X0,snoc(queue(host(sK9)),X1)),sK2) )
| ~ spl13_155
| ~ spl13_244 ),
inference(resolution,[],[f2306,f1319]) ).
fof(f3605,plain,
( spl13_358
| ~ spl13_6
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1819,f1765,f368,f3603]) ).
fof(f3603,plain,
( spl13_358
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_358])]) ).
fof(f368,plain,
( spl13_6
<=> host(sK8) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f1765,plain,
( spl13_203
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_203])]) ).
fof(f1819,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_203 ),
inference(superposition,[],[f1766,f370]) ).
fof(f370,plain,
( host(sK8) = host(sK9)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1766,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_203 ),
inference(avatar_component_clause,[],[f1765]) ).
fof(f3600,plain,
( spl13_357
| ~ spl13_5
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1809,f1761,f363,f3598]) ).
fof(f3598,plain,
( spl13_357
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_357])]) ).
fof(f363,plain,
( spl13_5
<=> host(sK6) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f1761,plain,
( spl13_202
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).
fof(f1809,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_202 ),
inference(superposition,[],[f1762,f365]) ).
fof(f365,plain,
( host(sK6) = host(sK7)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1762,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK9)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_202 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f3595,plain,
( spl13_356
| ~ spl13_5
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1800,f1757,f363,f3593]) ).
fof(f3593,plain,
( spl13_356
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_356])]) ).
fof(f1757,plain,
( spl13_201
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).
fof(f1800,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_201 ),
inference(superposition,[],[f1758,f365]) ).
fof(f1758,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK9)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_201 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f3591,plain,
( ~ spl13_355
| ~ spl13_137
| spl13_339 ),
inference(avatar_split_clause,[],[f3369,f3362,f1198,f3588]) ).
fof(f3588,plain,
( spl13_355
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_355])]) ).
fof(f3362,plain,
( spl13_339
<=> elem(m_Down(sK6),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_339])]) ).
fof(f3369,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl13_137
| spl13_339 ),
inference(resolution,[],[f3364,f1199]) ).
fof(f3364,plain,
( ~ elem(m_Down(sK6),queue(host(sK9)))
| spl13_339 ),
inference(avatar_component_clause,[],[f3362]) ).
fof(f3438,plain,
( spl13_354
| ~ spl13_51
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1911,f1858,f648,f3436]) ).
fof(f3436,plain,
( spl13_354
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_354])]) ).
fof(f648,plain,
( spl13_51
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f1911,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl13_51
| ~ spl13_209 ),
inference(resolution,[],[f1859,f650]) ).
fof(f650,plain,
( leq(s(zero),nbr_proc)
| ~ spl13_51 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f3434,plain,
( spl13_353
| ~ spl13_53
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1910,f1858,f657,f3432]) ).
fof(f3432,plain,
( spl13_353
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_353])]) ).
fof(f657,plain,
( spl13_53
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f1910,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl13_53
| ~ spl13_209 ),
inference(resolution,[],[f1859,f658]) ).
fof(f658,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl13_53 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f3430,plain,
( spl13_352
| ~ spl13_171
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1909,f1858,f1491,f3428]) ).
fof(f3428,plain,
( spl13_352
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_352])]) ).
fof(f1491,plain,
( spl13_171
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).
fof(f1909,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl13_171
| ~ spl13_209 ),
inference(resolution,[],[f1859,f1492]) ).
fof(f1492,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_171 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f3426,plain,
( spl13_351
| ~ spl13_88
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1749,f1721,f820,f3424]) ).
fof(f3424,plain,
( spl13_351
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_351])]) ).
fof(f1749,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl13_88
| ~ spl13_200 ),
inference(superposition,[],[f1722,f821]) ).
fof(f3422,plain,
( spl13_350
| ~ spl13_101
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1744,f1709,f884,f3420]) ).
fof(f3420,plain,
( spl13_350
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_350])]) ).
fof(f1744,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl13_101
| ~ spl13_197 ),
inference(resolution,[],[f1710,f885]) ).
fof(f3418,plain,
( spl13_349
| ~ spl13_192
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1743,f1709,f1685,f3416]) ).
fof(f3416,plain,
( spl13_349
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_349])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl13_192
| ~ spl13_197 ),
inference(resolution,[],[f1710,f1686]) ).
fof(f3414,plain,
( spl13_348
| ~ spl13_79
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1741,f1709,f774,f3412]) ).
fof(f3412,plain,
( spl13_348
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_348])]) ).
fof(f1741,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl13_79
| ~ spl13_197 ),
inference(resolution,[],[f1710,f775]) ).
fof(f3410,plain,
( spl13_347
| ~ spl13_94
| ~ spl13_184 ),
inference(avatar_split_clause,[],[f1647,f1614,f844,f3408]) ).
fof(f3408,plain,
( spl13_347
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_347])]) ).
fof(f1614,plain,
( spl13_184
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).
fof(f1647,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl13_94
| ~ spl13_184 ),
inference(resolution,[],[f1615,f845]) ).
fof(f1615,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl13_184 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f3405,plain,
( ~ spl13_346
| spl13_345
| ~ spl13_8
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1790,f1786,f378,f3397,f3402]) ).
fof(f3397,plain,
( spl13_345
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_345])]) ).
fof(f378,plain,
( spl13_8
<=> host(sK4) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f1786,plain,
( spl13_206
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_206])]) ).
fof(f1790,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| host(X0) = host(sK7)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_8
| ~ spl13_206 ),
inference(superposition,[],[f1787,f380]) ).
fof(f380,plain,
( host(sK4) = host(sK9)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f1787,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_206 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f3399,plain,
( ~ spl13_344
| spl13_345
| ~ spl13_10
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1789,f1786,f388,f3397,f3393]) ).
fof(f3393,plain,
( spl13_344
<=> elem(m_Down(sK3),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_344])]) ).
fof(f388,plain,
( spl13_10
<=> host(sK3) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1789,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| host(X0) = host(sK7)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_10
| ~ spl13_206 ),
inference(superposition,[],[f1787,f390]) ).
fof(f390,plain,
( host(sK3) = host(sK9)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f3381,plain,
( spl13_342
| ~ spl13_14
| spl13_7
| spl13_343
| ~ spl13_5
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1782,f1773,f363,f3379,f373,f409,f3376]) ).
fof(f373,plain,
( spl13_7
<=> host(sK7) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f1773,plain,
( spl13_205
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_205])]) ).
fof(f1782,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(sK7) = host(sK9)
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(sK7))) )
| ~ spl13_5
| ~ spl13_205 ),
inference(superposition,[],[f1774,f365]) ).
fof(f1774,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_205 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f3374,plain,
( ~ spl13_341
| ~ spl13_42
| ~ spl13_293 ),
inference(avatar_split_clause,[],[f2845,f2818,f575,f3371]) ).
fof(f3371,plain,
( spl13_341
<=> elem(m_Halt(sK9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_341])]) ).
fof(f2818,plain,
( spl13_293
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK9),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_293])]) ).
fof(f2845,plain,
( ~ elem(m_Halt(sK9),sK2)
| ~ spl13_42
| ~ spl13_293 ),
inference(resolution,[],[f2819,f576]) ).
fof(f2819,plain,
( ! [X0] :
( ~ leq(host(sK9),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl13_293 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f3368,plain,
( ~ spl13_339
| spl13_340
| ~ spl13_5
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1778,f1773,f363,f3366,f3362]) ).
fof(f3366,plain,
( spl13_340
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_340])]) ).
fof(f1778,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_205 ),
inference(superposition,[],[f1774,f365]) ).
fof(f3250,plain,
( spl13_338
| ~ spl13_94
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1738,f1709,f844,f3248]) ).
fof(f3248,plain,
( spl13_338
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_338])]) ).
fof(f1738,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl13_94
| ~ spl13_197 ),
inference(resolution,[],[f1710,f845]) ).
fof(f3246,plain,
( ~ spl13_337
| ~ spl13_16
| ~ spl13_137
| spl13_261 ),
inference(avatar_split_clause,[],[f2719,f2463,f1198,f418,f3243]) ).
fof(f3243,plain,
( spl13_337
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_337])]) ).
fof(f418,plain,
( spl13_16
<=> sK3 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f2463,plain,
( spl13_261
<=> elem(m_Down(sK3),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_261])]) ).
fof(f2719,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl13_16
| ~ spl13_137
| spl13_261 ),
inference(forward_demodulation,[],[f2717,f420]) ).
fof(f420,plain,
( sK3 = sK8
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f2717,plain,
( ~ elem(m_Down(sK3),sK2)
| ~ spl13_137
| spl13_261 ),
inference(resolution,[],[f2465,f1199]) ).
fof(f2465,plain,
( ~ elem(m_Down(sK3),queue(host(sK9)))
| spl13_261 ),
inference(avatar_component_clause,[],[f2463]) ).
fof(f3241,plain,
( spl13_336
| ~ spl13_187
| ~ spl13_192 ),
inference(avatar_split_clause,[],[f1729,f1685,f1626,f3239]) ).
fof(f3239,plain,
( spl13_336
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_336])]) ).
fof(f1729,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl13_187
| ~ spl13_192 ),
inference(resolution,[],[f1686,f1627]) ).
fof(f3237,plain,
( spl13_335
| ~ spl13_88
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1680,f1638,f820,f3235]) ).
fof(f3235,plain,
( spl13_335
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_335])]) ).
fof(f1680,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl13_88
| ~ spl13_190 ),
inference(superposition,[],[f1639,f821]) ).
fof(f3233,plain,
( spl13_334
| ~ spl13_101
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f1666,f1626,f884,f3231]) ).
fof(f3231,plain,
( spl13_334
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_334])]) ).
fof(f1666,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_101
| ~ spl13_187 ),
inference(resolution,[],[f1627,f885]) ).
fof(f3229,plain,
( spl13_333
| ~ spl13_79
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f1664,f1626,f774,f3227]) ).
fof(f3227,plain,
( spl13_333
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_333])]) ).
fof(f1664,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl13_79
| ~ spl13_187 ),
inference(resolution,[],[f1627,f775]) ).
fof(f3225,plain,
( spl13_332
| ~ spl13_79
| ~ spl13_186 ),
inference(avatar_split_clause,[],[f1654,f1622,f774,f3223]) ).
fof(f3223,plain,
( spl13_332
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_332])]) ).
fof(f1654,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl13_79
| ~ spl13_186 ),
inference(resolution,[],[f1623,f775]) ).
fof(f3221,plain,
( spl13_331
| ~ spl13_79
| ~ spl13_184 ),
inference(avatar_split_clause,[],[f1645,f1614,f774,f3219]) ).
fof(f3219,plain,
( spl13_331
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_331])]) ).
fof(f1645,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl13_79
| ~ spl13_184 ),
inference(resolution,[],[f1615,f775]) ).
fof(f3215,plain,
( spl13_330
| ~ spl13_154
| ~ spl13_247 ),
inference(avatar_split_clause,[],[f2381,f2319,f1314,f3213]) ).
fof(f3213,plain,
( spl13_330
<=> ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK9)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK12(X1,snoc(queue(host(sK9)),X0))
| sP1(X1,snoc(queue(host(sK9)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_330])]) ).
fof(f1314,plain,
( spl13_154
<=> ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK9)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).
fof(f2381,plain,
( ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK9)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK12(X1,snoc(queue(host(sK9)),X0))
| sP1(X1,snoc(queue(host(sK9)),X0)) )
| ~ spl13_154
| ~ spl13_247 ),
inference(superposition,[],[f2320,f1315]) ).
fof(f1315,plain,
( ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK9)),X0)
| ~ spl13_154 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f3211,plain,
( spl13_329
| ~ spl13_154
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2370,f2313,f1314,f3209]) ).
fof(f3209,plain,
( spl13_329
<=> ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK9)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK11(X1,snoc(queue(host(sK9)),X0))
| sP0(X1,snoc(queue(host(sK9)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_329])]) ).
fof(f2370,plain,
( ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK9)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK11(X1,snoc(queue(host(sK9)),X0))
| sP0(X1,snoc(queue(host(sK9)),X0)) )
| ~ spl13_154
| ~ spl13_246 ),
inference(superposition,[],[f2314,f1315]) ).
fof(f3191,plain,
( spl13_328
| ~ spl13_94
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f1661,f1626,f844,f3189]) ).
fof(f3189,plain,
( spl13_328
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_328])]) ).
fof(f1661,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_94
| ~ spl13_187 ),
inference(resolution,[],[f1627,f845]) ).
fof(f3187,plain,
( spl13_327
| ~ spl13_94
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1594,f1588,f844,f3185]) ).
fof(f3185,plain,
( spl13_327
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_327])]) ).
fof(f1594,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl13_94
| ~ spl13_180 ),
inference(resolution,[],[f1589,f845]) ).
fof(f3173,plain,
( spl13_326
| ~ spl13_79
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1592,f1588,f774,f3171]) ).
fof(f3171,plain,
( spl13_326
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_326])]) ).
fof(f1592,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl13_79
| ~ spl13_180 ),
inference(resolution,[],[f1589,f775]) ).
fof(f3164,plain,
( spl13_269
| spl13_325
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1577,f1521,f3162,f2601]) ).
fof(f2601,plain,
( spl13_269
<=> leq(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_269])]) ).
fof(f3162,plain,
( spl13_325
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK6),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_325])]) ).
fof(f1521,plain,
( spl13_177
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).
fof(f1577,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK6,sK7)
| ~ ordered(cons(m_Halt(sK6),X0)) )
| ~ spl13_177 ),
inference(equality_resolution,[],[f1522]) ).
fof(f1522,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl13_177 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f3158,plain,
( ~ spl13_270
| ~ spl13_3
| ~ spl13_283 ),
inference(avatar_split_clause,[],[f2792,f2769,f353,f2605]) ).
fof(f2605,plain,
( spl13_270
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_270])]) ).
fof(f2769,plain,
( spl13_283
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_283])]) ).
fof(f2792,plain,
( ~ setIn(sK7,alive)
| ~ spl13_3
| ~ spl13_283 ),
inference(resolution,[],[f2770,f355]) ).
fof(f355,plain,
( elem(m_Down(sK7),sK2)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2770,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_283 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f3157,plain,
( spl13_324
| ~ spl13_105
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f1334,f1318,f901,f3155]) ).
fof(f3155,plain,
( spl13_324
<=> ! [X0] :
( m_Down(sK5) = sK12(X0,queue(host(sK9)))
| elem(sK12(X0,queue(host(sK9))),sK2)
| sP1(X0,queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_324])]) ).
fof(f1334,plain,
( ! [X0] :
( m_Down(sK5) = sK12(X0,queue(host(sK9)))
| elem(sK12(X0,queue(host(sK9))),sK2)
| sP1(X0,queue(host(sK9))) )
| ~ spl13_105
| ~ spl13_155 ),
inference(resolution,[],[f1319,f902]) ).
fof(f3153,plain,
( spl13_323
| ~ spl13_104
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f1333,f1318,f897,f3151]) ).
fof(f3151,plain,
( spl13_323
<=> ! [X0] :
( m_Down(sK5) = sK11(X0,queue(host(sK9)))
| elem(sK11(X0,queue(host(sK9))),sK2)
| sP0(X0,queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_323])]) ).
fof(f1333,plain,
( ! [X0] :
( m_Down(sK5) = sK11(X0,queue(host(sK9)))
| elem(sK11(X0,queue(host(sK9))),sK2)
| sP0(X0,queue(host(sK9))) )
| ~ spl13_104
| ~ spl13_155 ),
inference(resolution,[],[f1319,f898]) ).
fof(f3133,plain,
( spl13_322
| ~ spl13_25
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2253,f2184,f474,f3131]) ).
fof(f3131,plain,
( spl13_322
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_322])]) ).
fof(f474,plain,
( spl13_25
<=> ! [X25,X24] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f2253,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_25
| ~ spl13_239 ),
inference(superposition,[],[f475,f2185]) ).
fof(f475,plain,
( ! [X24,X25] :
( ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X25,alive) )
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f3129,plain,
( spl13_321
| ~ spl13_25
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2237,f2180,f474,f3127]) ).
fof(f3127,plain,
( spl13_321
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_321])]) ).
fof(f2237,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_25
| ~ spl13_238 ),
inference(superposition,[],[f475,f2181]) ).
fof(f3125,plain,
( spl13_319
| spl13_320
| spl13_87
| ~ spl13_155
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1667,f1630,f1318,f808,f3122,f3118]) ).
fof(f3118,plain,
( spl13_319
<=> elem(last(queue(host(sK9))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_319])]) ).
fof(f3122,plain,
( spl13_320
<=> m_Down(sK5) = last(queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_320])]) ).
fof(f808,plain,
( spl13_87
<=> q_nil = queue(host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f1667,plain,
( q_nil = queue(host(sK9))
| m_Down(sK5) = last(queue(host(sK9)))
| elem(last(queue(host(sK9))),sK2)
| ~ spl13_155
| ~ spl13_188 ),
inference(resolution,[],[f1631,f1319]) ).
fof(f3107,plain,
( spl13_318
| ~ spl13_57
| ~ spl13_184 ),
inference(avatar_split_clause,[],[f1642,f1614,f678,f3105]) ).
fof(f3105,plain,
( spl13_318
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_318])]) ).
fof(f1642,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl13_57
| ~ spl13_184 ),
inference(resolution,[],[f1615,f679]) ).
fof(f3054,plain,
( spl13_317
| ~ spl13_129
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1330,f1314,f1092,f3052]) ).
fof(f3052,plain,
( spl13_317
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK9)),X0))
| m_Down(sK5) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_317])]) ).
fof(f1330,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK9)),X0))
| m_Down(sK5) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl13_129
| ~ spl13_154 ),
inference(superposition,[],[f1093,f1315]) ).
fof(f3050,plain,
( spl13_316
| ~ spl13_127
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1329,f1314,f1084,f3048]) ).
fof(f3048,plain,
( spl13_316
<=> ! [X0,X1] : cons(m_Down(sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK9)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_316])]) ).
fof(f1329,plain,
( ! [X0,X1] : cons(m_Down(sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK9)),X0),X1)
| ~ spl13_127
| ~ spl13_154 ),
inference(superposition,[],[f1085,f1315]) ).
fof(f3046,plain,
( spl13_315
| ~ spl13_113
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1328,f1314,f964,f3044]) ).
fof(f3044,plain,
( spl13_315
<=> ! [X0] :
( ordered(snoc(queue(host(sK9)),X0))
| ~ sP0(m_Down(sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_315])]) ).
fof(f1328,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK9)),X0))
| ~ sP0(m_Down(sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl13_113
| ~ spl13_154 ),
inference(superposition,[],[f965,f1315]) ).
fof(f3036,plain,
( spl13_314
| ~ spl13_95
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2261,f2184,f855,f3034]) ).
fof(f3034,plain,
( spl13_314
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_314])]) ).
fof(f855,plain,
( spl13_95
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f2261,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_95
| ~ spl13_239 ),
inference(superposition,[],[f856,f2185]) ).
fof(f856,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f3032,plain,
( spl13_313
| ~ spl13_95
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2245,f2180,f855,f3030]) ).
fof(f3030,plain,
( spl13_313
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_313])]) ).
fof(f2245,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_95
| ~ spl13_238 ),
inference(superposition,[],[f856,f2181]) ).
fof(f3022,plain,
( ~ spl13_312
| ~ spl13_94
| spl13_194 ),
inference(avatar_split_clause,[],[f1701,f1693,f844,f3019]) ).
fof(f3019,plain,
( spl13_312
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_312])]) ).
fof(f1693,plain,
( spl13_194
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).
fof(f1701,plain,
( ~ leq(nbr_proc,zero)
| ~ spl13_94
| spl13_194 ),
inference(resolution,[],[f1695,f845]) ).
fof(f1695,plain,
( ~ leq(nbr_proc,s(zero))
| spl13_194 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f3017,plain,
( spl13_311
| ~ spl13_51
| ~ spl13_184 ),
inference(avatar_split_clause,[],[f1641,f1614,f648,f3014]) ).
fof(f3014,plain,
( spl13_311
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_311])]) ).
fof(f1641,plain,
( leq(zero,nbr_proc)
| ~ spl13_51
| ~ spl13_184 ),
inference(resolution,[],[f1615,f650]) ).
fof(f3003,plain,
( ~ spl13_278
| ~ spl13_15
| spl13_266 ),
inference(avatar_split_clause,[],[f2624,f2522,f414,f2704]) ).
fof(f2704,plain,
( spl13_278
<=> leq(sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_278])]) ).
fof(f2522,plain,
( spl13_266
<=> leq(sK4,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_266])]) ).
fof(f2624,plain,
( ~ leq(sK8,sK9)
| ~ spl13_15
| spl13_266 ),
inference(superposition,[],[f2524,f415]) ).
fof(f2524,plain,
( ~ leq(sK4,sK9)
| spl13_266 ),
inference(avatar_component_clause,[],[f2522]) ).
fof(f3002,plain,
( spl13_310
| ~ spl13_15
| ~ spl13_308 ),
inference(avatar_split_clause,[],[f2990,f2987,f414,f3000]) ).
fof(f3000,plain,
( spl13_310
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK8),X0))
| ~ elem(m_Down(sK9),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_310])]) ).
fof(f2987,plain,
( spl13_308
<=> ! [X0] :
( ~ elem(m_Down(sK9),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_308])]) ).
fof(f2990,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK8),X0))
| ~ elem(m_Down(sK9),X0) )
| ~ spl13_15
| ~ spl13_308 ),
inference(forward_demodulation,[],[f2988,f415]) ).
fof(f2988,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl13_308 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f2995,plain,
( spl13_309
| ~ spl13_15
| ~ spl13_16
| ~ spl13_241
| ~ spl13_308 ),
inference(avatar_split_clause,[],[f2991,f2987,f2227,f418,f414,f2993]) ).
fof(f2993,plain,
( spl13_309
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK9),X0))
| ~ elem(m_Down(sK9),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_309])]) ).
fof(f2227,plain,
( spl13_241
<=> sK3 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_241])]) ).
fof(f2991,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK9),X0))
| ~ elem(m_Down(sK9),X0) )
| ~ spl13_15
| ~ spl13_16
| ~ spl13_241
| ~ spl13_308 ),
inference(forward_demodulation,[],[f2990,f2969]) ).
fof(f2969,plain,
( sK8 = sK9
| ~ spl13_16
| ~ spl13_241 ),
inference(superposition,[],[f2229,f420]) ).
fof(f2229,plain,
( sK3 = sK9
| ~ spl13_241 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f2989,plain,
( spl13_266
| spl13_308
| ~ spl13_176 ),
inference(avatar_split_clause,[],[f1569,f1517,f2987,f2522]) ).
fof(f1517,plain,
( spl13_176
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).
fof(f1569,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),X0)
| leq(sK4,sK9)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl13_176 ),
inference(equality_resolution,[],[f1518]) ).
fof(f1518,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl13_176 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f2981,plain,
( spl13_278
| ~ spl13_16
| ~ spl13_240 ),
inference(avatar_split_clause,[],[f2968,f2223,f418,f2704]) ).
fof(f2223,plain,
( spl13_240
<=> leq(sK3,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_240])]) ).
fof(f2968,plain,
( leq(sK8,sK9)
| ~ spl13_16
| ~ spl13_240 ),
inference(forward_demodulation,[],[f2224,f420]) ).
fof(f2224,plain,
( leq(sK3,sK9)
| ~ spl13_240 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f2966,plain,
( spl13_240
| spl13_307
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1554,f1513,f2964,f2223]) ).
fof(f2964,plain,
( spl13_307
<=> ! [X0] :
( ~ elem(m_Down(sK9),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_307])]) ).
fof(f1513,plain,
( spl13_175
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).
fof(f1554,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),X0)
| leq(sK3,sK9)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_175 ),
inference(equality_resolution,[],[f1514]) ).
fof(f1514,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_175 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f2962,plain,
( spl13_302
| spl13_306
| ~ spl13_173 ),
inference(avatar_split_clause,[],[f1540,f1505,f2960,f2914]) ).
fof(f2914,plain,
( spl13_302
<=> leq(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_302])]) ).
fof(f2960,plain,
( spl13_306
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_306])]) ).
fof(f1505,plain,
( spl13_173
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).
fof(f1540,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK7,sK6)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl13_173 ),
inference(equality_resolution,[],[f1506]) ).
fof(f1506,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_173 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f2958,plain,
( ~ spl13_17
| ~ spl13_304
| ~ spl13_6
| ~ spl13_268 ),
inference(avatar_split_clause,[],[f2645,f2580,f368,f2940,f423]) ).
fof(f2940,plain,
( spl13_304
<=> leq(sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_304])]) ).
fof(f2580,plain,
( spl13_268
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ leq(X0,sK8)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_268])]) ).
fof(f2645,plain,
( ~ leq(sK8,sK8)
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_268 ),
inference(trivial_inequality_removal,[],[f2643]) ).
fof(f2643,plain,
( host(sK9) != host(sK9)
| ~ leq(sK8,sK8)
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_268 ),
inference(superposition,[],[f2581,f370]) ).
fof(f2581,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ leq(X0,sK8)
| ~ setIn(X0,alive) )
| ~ spl13_268 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2951,plain,
( spl13_213
| spl13_305
| ~ spl13_10
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1535,f1499,f388,f2949,f1874]) ).
fof(f1874,plain,
( spl13_213
<=> leq(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_213])]) ).
fof(f2949,plain,
( spl13_305
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_305])]) ).
fof(f1499,plain,
( spl13_172
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).
fof(f1535,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK3,sK4)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_10
| ~ spl13_172 ),
inference(trivial_inequality_removal,[],[f1528]) ).
fof(f1528,plain,
( ! [X0] :
( host(sK9) != host(sK9)
| ~ elem(m_Down(sK4),X0)
| leq(sK3,sK4)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_10
| ~ spl13_172 ),
inference(superposition,[],[f1500,f390]) ).
fof(f1500,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_172 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f2947,plain,
( ~ spl13_42
| spl13_304 ),
inference(avatar_contradiction_clause,[],[f2944]) ).
fof(f2944,plain,
( $false
| ~ spl13_42
| spl13_304 ),
inference(resolution,[],[f2942,f576]) ).
fof(f2942,plain,
( ~ leq(sK8,sK8)
| spl13_304 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2943,plain,
( ~ spl13_304
| ~ spl13_16
| spl13_280 ),
inference(avatar_split_clause,[],[f2740,f2736,f418,f2940]) ).
fof(f2736,plain,
( spl13_280
<=> leq(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_280])]) ).
fof(f2740,plain,
( ~ leq(sK8,sK8)
| ~ spl13_16
| spl13_280 ),
inference(forward_demodulation,[],[f2738,f420]) ).
fof(f2738,plain,
( ~ leq(sK3,sK3)
| spl13_280 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2935,plain,
( spl13_179
| spl13_303
| ~ spl13_6
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1533,f1499,f368,f2933,f1559]) ).
fof(f1559,plain,
( spl13_179
<=> leq(sK8,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).
fof(f2933,plain,
( spl13_303
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK8),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_303])]) ).
fof(f1533,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK8,sK4)
| ~ ordered(cons(m_Halt(sK8),X0)) )
| ~ spl13_6
| ~ spl13_172 ),
inference(trivial_inequality_removal,[],[f1531]) ).
fof(f1531,plain,
( ! [X0] :
( host(sK9) != host(sK9)
| ~ elem(m_Down(sK4),X0)
| leq(sK8,sK4)
| ~ ordered(cons(m_Halt(sK8),X0)) )
| ~ spl13_6
| ~ spl13_172 ),
inference(superposition,[],[f1500,f370]) ).
fof(f2919,plain,
( spl13_271
| ~ spl13_13
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f2918,f418,f404,f2627]) ).
fof(f404,plain,
( spl13_13
<=> sK3 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f2918,plain,
( sK6 = sK8
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_demodulation,[],[f406,f420]) ).
fof(f406,plain,
( sK3 = sK6
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f2917,plain,
( spl13_302
| ~ spl13_79
| spl13_269 ),
inference(avatar_split_clause,[],[f2609,f2601,f774,f2914]) ).
fof(f2609,plain,
( leq(sK7,sK6)
| ~ spl13_79
| spl13_269 ),
inference(resolution,[],[f2603,f775]) ).
fof(f2603,plain,
( ~ leq(sK6,sK7)
| spl13_269 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f2912,plain,
( spl13_301
| ~ spl13_108
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1327,f1314,f913,f2910]) ).
fof(f2910,plain,
( spl13_301
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK9)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_301])]) ).
fof(f1327,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK9)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl13_108
| ~ spl13_154 ),
inference(superposition,[],[f914,f1315]) ).
fof(f2908,plain,
( spl13_300
| ~ spl13_91
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1326,f1314,f832,f2906]) ).
fof(f2906,plain,
( spl13_300
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK9)),X0))
| sP0(m_Down(sK5),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_300])]) ).
fof(f1326,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK9)),X0))
| sP0(m_Down(sK5),snoc(sK2,X0)) )
| ~ spl13_91
| ~ spl13_154 ),
inference(superposition,[],[f833,f1315]) ).
fof(f2875,plain,
( spl13_299
| ~ spl13_80
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1325,f1314,f778,f2873]) ).
fof(f2873,plain,
( spl13_299
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK9)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_299])]) ).
fof(f1325,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK9)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl13_80
| ~ spl13_154 ),
inference(superposition,[],[f779,f1315]) ).
fof(f2871,plain,
( spl13_298
| ~ spl13_76
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1324,f1314,f762,f2869]) ).
fof(f2869,plain,
( spl13_298
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK9)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_298])]) ).
fof(f1324,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK9)),X0))
| ~ spl13_76
| ~ spl13_154 ),
inference(superposition,[],[f763,f1315]) ).
fof(f2867,plain,
( spl13_297
| ~ spl13_28
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1208,f1198,f504,f2865]) ).
fof(f504,plain,
( spl13_28
<=> ! [X18,X17,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl13_28
| ~ spl13_137 ),
inference(resolution,[],[f1199,f505]) ).
fof(f505,plain,
( ! [X18,X19,X17] :
( ~ elem(m_Ack(X19,X17),queue(host(X18)))
| ~ leq(host(X17),host(X19)) )
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f2843,plain,
( spl13_296
| ~ spl13_79
| spl13_266 ),
inference(avatar_split_clause,[],[f2597,f2522,f774,f2840]) ).
fof(f2840,plain,
( spl13_296
<=> leq(sK9,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_296])]) ).
fof(f2597,plain,
( leq(sK9,sK4)
| ~ spl13_79
| spl13_266 ),
inference(resolution,[],[f2524,f775]) ).
fof(f2832,plain,
( ~ spl13_279
| ~ spl13_16
| spl13_151 ),
inference(avatar_split_clause,[],[f2734,f1264,f418,f2728]) ).
fof(f2728,plain,
( spl13_279
<=> leq(index(elid,host(sK9)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_279])]) ).
fof(f1264,plain,
( spl13_151
<=> leq(index(elid,host(sK9)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).
fof(f2734,plain,
( ~ leq(index(elid,host(sK9)),sK8)
| ~ spl13_16
| spl13_151 ),
inference(forward_demodulation,[],[f1265,f420]) ).
fof(f1265,plain,
( ~ leq(index(elid,host(sK9)),sK3)
| spl13_151 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f2828,plain,
( spl13_295
| ~ spl13_16
| ~ spl13_116
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f2751,f1264,f976,f418,f2826]) ).
fof(f2826,plain,
( spl13_295
<=> ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,index(elid,host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_295])]) ).
fof(f2751,plain,
( ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,index(elid,host(sK9))) )
| ~ spl13_16
| ~ spl13_116
| ~ spl13_151 ),
inference(forward_demodulation,[],[f2489,f420]) ).
fof(f2489,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,index(elid,host(sK9))) )
| ~ spl13_116
| ~ spl13_151 ),
inference(resolution,[],[f1266,f977]) ).
fof(f1266,plain,
( leq(index(elid,host(sK9)),sK3)
| ~ spl13_151 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f2824,plain,
( spl13_294
| ~ spl13_75
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1323,f1314,f758,f2822]) ).
fof(f2822,plain,
( spl13_294
<=> ! [X0] : m_Down(sK5) = head(snoc(queue(host(sK9)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_294])]) ).
fof(f1323,plain,
( ! [X0] : m_Down(sK5) = head(snoc(queue(host(sK9)),X0))
| ~ spl13_75
| ~ spl13_154 ),
inference(superposition,[],[f759,f1315]) ).
fof(f2820,plain,
( spl13_293
| ~ spl13_27
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1207,f1198,f487,f2818]) ).
fof(f487,plain,
( spl13_27
<=> ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f1207,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK9),host(X0)) )
| ~ spl13_27
| ~ spl13_137 ),
inference(resolution,[],[f1199,f488]) ).
fof(f488,plain,
( ! [X21,X20] :
( ~ elem(m_Halt(X21),queue(host(X20)))
| ~ leq(host(X20),host(X21)) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f2815,plain,
( spl13_292
| ~ spl13_73
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1322,f1314,f742,f2813]) ).
fof(f2813,plain,
( spl13_292
<=> ! [X0] : elem(m_Down(sK5),snoc(queue(host(sK9)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_292])]) ).
fof(f1322,plain,
( ! [X0] : elem(m_Down(sK5),snoc(queue(host(sK9)),X0))
| ~ spl13_73
| ~ spl13_154 ),
inference(superposition,[],[f743,f1315]) ).
fof(f2810,plain,
( spl13_291
| ~ spl13_137
| ~ spl13_145 ),
inference(avatar_split_clause,[],[f1246,f1239,f1198,f2808]) ).
fof(f2808,plain,
( spl13_291
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_291])]) ).
fof(f1239,plain,
( spl13_145
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK9)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).
fof(f1246,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) )
| ~ spl13_137
| ~ spl13_145 ),
inference(resolution,[],[f1240,f1199]) ).
fof(f1240,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK9)))
| setIn(X0,pids) )
| ~ spl13_145 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f2806,plain,
( spl13_289
| spl13_290
| ~ spl13_119
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1210,f1198,f1016,f2804,f2800]) ).
fof(f2800,plain,
( spl13_289
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_289])]) ).
fof(f2804,plain,
( spl13_290
<=> ! [X0] : ~ elem(m_Ack(sK9,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_290])]) ).
fof(f1016,plain,
( spl13_119
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f1210,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),sK2)
| setIn(sK9,pids) )
| ~ spl13_119
| ~ spl13_137 ),
inference(resolution,[],[f1199,f1017]) ).
fof(f1017,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl13_119 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f2798,plain,
( spl13_288
| ~ spl13_120
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1209,f1198,f1020,f2796]) ).
fof(f2796,plain,
( spl13_288
<=> ! [X0] :
( ~ elem(m_Ack(sK9,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_288])]) ).
fof(f1020,plain,
( spl13_120
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1209,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),sK2)
| setIn(X0,pids) )
| ~ spl13_120
| ~ spl13_137 ),
inference(resolution,[],[f1199,f1021]) ).
fof(f1021,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl13_120 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f2790,plain,
( spl13_287
| ~ spl13_31
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1918,f1858,f517,f2788]) ).
fof(f2788,plain,
( spl13_287
<=> ! [X0] :
( ~ leq(X0,sK9)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_287])]) ).
fof(f517,plain,
( spl13_31
<=> leq(sK9,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f1918,plain,
( ! [X0] :
( ~ leq(X0,sK9)
| leq(X0,s(sK3)) )
| ~ spl13_31
| ~ spl13_209 ),
inference(resolution,[],[f1859,f519]) ).
fof(f519,plain,
( leq(sK9,sK3)
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f2785,plain,
( spl13_286
| ~ spl13_40
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1917,f1858,f566,f2783]) ).
fof(f2783,plain,
( spl13_286
<=> ! [X0] :
( ~ leq(X0,sK8)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_286])]) ).
fof(f566,plain,
( spl13_40
<=> leq(sK8,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1917,plain,
( ! [X0] :
( ~ leq(X0,sK8)
| leq(X0,s(sK3)) )
| ~ spl13_40
| ~ spl13_209 ),
inference(resolution,[],[f1859,f568]) ).
fof(f568,plain,
( leq(sK8,sK3)
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f2780,plain,
( spl13_285
| ~ spl13_170
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1916,f1858,f1477,f2778]) ).
fof(f2778,plain,
( spl13_285
<=> ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_285])]) ).
fof(f1477,plain,
( spl13_170
<=> leq(sK4,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).
fof(f1916,plain,
( ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK8)) )
| ~ spl13_170
| ~ spl13_209 ),
inference(resolution,[],[f1859,f1479]) ).
fof(f1479,plain,
( leq(sK4,sK8)
| ~ spl13_170 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f2775,plain,
( spl13_284
| ~ spl13_45
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1915,f1858,f587,f2773]) ).
fof(f2773,plain,
( spl13_284
<=> ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_284])]) ).
fof(f587,plain,
( spl13_45
<=> leq(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f1915,plain,
( ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK3)) )
| ~ spl13_45
| ~ spl13_209 ),
inference(resolution,[],[f1859,f589]) ).
fof(f589,plain,
( leq(sK4,sK3)
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f2771,plain,
( spl13_283
| ~ spl13_25
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1206,f1198,f474,f2769]) ).
fof(f1206,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_25
| ~ spl13_137 ),
inference(resolution,[],[f1199,f475]) ).
fof(f2759,plain,
( ~ spl13_282
| ~ spl13_16
| spl13_241 ),
inference(avatar_split_clause,[],[f2511,f2227,f418,f2756]) ).
fof(f2756,plain,
( spl13_282
<=> sK8 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_282])]) ).
fof(f2511,plain,
( sK8 != sK9
| ~ spl13_16
| spl13_241 ),
inference(superposition,[],[f2228,f420]) ).
fof(f2228,plain,
( sK3 != sK9
| spl13_241 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f2747,plain,
( spl13_281
| ~ spl13_16
| ~ spl13_265 ),
inference(avatar_split_clause,[],[f2732,f2483,f418,f2744]) ).
fof(f2744,plain,
( spl13_281
<=> leq(sK8,index(elid,host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_281])]) ).
fof(f2483,plain,
( spl13_265
<=> leq(sK3,index(elid,host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_265])]) ).
fof(f2732,plain,
( leq(sK8,index(elid,host(sK9)))
| ~ spl13_16
| ~ spl13_265 ),
inference(forward_demodulation,[],[f2485,f420]) ).
fof(f2485,plain,
( leq(sK3,index(elid,host(sK9)))
| ~ spl13_265 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f2739,plain,
( ~ spl13_280
| spl13_159
| ~ spl13_10
| ~ spl13_161 ),
inference(avatar_split_clause,[],[f2533,f1357,f388,f1349,f2736]) ).
fof(f1349,plain,
( spl13_159
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).
fof(f1357,plain,
( spl13_161
<=> ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).
fof(f2533,plain,
( setIn(sK3,alive)
| ~ leq(sK3,sK3)
| ~ spl13_10
| ~ spl13_161 ),
inference(trivial_inequality_removal,[],[f2526]) ).
fof(f2526,plain,
( host(sK9) != host(sK9)
| setIn(sK3,alive)
| ~ leq(sK3,sK3)
| ~ spl13_10
| ~ spl13_161 ),
inference(superposition,[],[f1358,f390]) ).
fof(f1358,plain,
( ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK3,X0) )
| ~ spl13_161 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f2731,plain,
( spl13_279
| ~ spl13_16
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f2505,f1264,f418,f2728]) ).
fof(f2505,plain,
( leq(index(elid,host(sK9)),sK8)
| ~ spl13_16
| ~ spl13_151 ),
inference(superposition,[],[f1266,f420]) ).
fof(f2707,plain,
( ~ spl13_278
| ~ spl13_16
| spl13_240 ),
inference(avatar_split_clause,[],[f2510,f2223,f418,f2704]) ).
fof(f2510,plain,
( ~ leq(sK8,sK9)
| ~ spl13_16
| spl13_240 ),
inference(superposition,[],[f2225,f420]) ).
fof(f2225,plain,
( ~ leq(sK3,sK9)
| spl13_240 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f2673,plain,
( spl13_277
| ~ spl13_31
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1851,f1835,f517,f2671]) ).
fof(f2671,plain,
( spl13_277
<=> ! [X0] :
( leq(sK9,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_277])]) ).
fof(f1851,plain,
( ! [X0] :
( leq(sK9,X0)
| leq(X0,sK3) )
| ~ spl13_31
| ~ spl13_207 ),
inference(resolution,[],[f1836,f519]) ).
fof(f2668,plain,
( spl13_276
| ~ spl13_40
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1850,f1835,f566,f2666]) ).
fof(f2666,plain,
( spl13_276
<=> ! [X0] :
( leq(sK8,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_276])]) ).
fof(f1850,plain,
( ! [X0] :
( leq(sK8,X0)
| leq(X0,sK3) )
| ~ spl13_40
| ~ spl13_207 ),
inference(resolution,[],[f1836,f568]) ).
fof(f2663,plain,
( spl13_275
| ~ spl13_170
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1849,f1835,f1477,f2661]) ).
fof(f2661,plain,
( spl13_275
<=> ! [X0] :
( leq(sK4,X0)
| leq(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_275])]) ).
fof(f1849,plain,
( ! [X0] :
( leq(sK4,X0)
| leq(X0,sK8) )
| ~ spl13_170
| ~ spl13_207 ),
inference(resolution,[],[f1836,f1479]) ).
fof(f2658,plain,
( spl13_274
| ~ spl13_45
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1848,f1835,f587,f2656]) ).
fof(f2656,plain,
( spl13_274
<=> ! [X0] :
( leq(sK4,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_274])]) ).
fof(f1848,plain,
( ! [X0] :
( leq(sK4,X0)
| leq(X0,sK3) )
| ~ spl13_45
| ~ spl13_207 ),
inference(resolution,[],[f1836,f589]) ).
fof(f2653,plain,
( spl13_273
| ~ spl13_116
| ~ spl13_170 ),
inference(avatar_split_clause,[],[f1563,f1477,f976,f2651]) ).
fof(f2651,plain,
( spl13_273
<=> ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_273])]) ).
fof(f1563,plain,
( ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK4) )
| ~ spl13_116
| ~ spl13_170 ),
inference(resolution,[],[f1479,f977]) ).
fof(f2638,plain,
( ~ spl13_272
| spl13_9
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f2615,f414,f383,f2635]) ).
fof(f2635,plain,
( spl13_272
<=> host(sK8) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_272])]) ).
fof(f383,plain,
( spl13_9
<=> host(sK4) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f2615,plain,
( host(sK8) != host(sK7)
| spl13_9
| ~ spl13_15 ),
inference(superposition,[],[f385,f415]) ).
fof(f385,plain,
( host(sK4) != host(sK7)
| spl13_9 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f2631,plain,
( spl13_19
| ~ spl13_15
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f2618,f1218,f414,f437]) ).
fof(f437,plain,
( spl13_19
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f1218,plain,
( spl13_140
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).
fof(f2618,plain,
( setIn(sK8,pids)
| ~ spl13_15
| ~ spl13_140 ),
inference(superposition,[],[f1220,f415]) ).
fof(f1220,plain,
( setIn(sK4,pids)
| ~ spl13_140 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f2630,plain,
( ~ spl13_271
| spl13_12
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f2616,f414,f400,f2627]) ).
fof(f400,plain,
( spl13_12
<=> sK4 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f2616,plain,
( sK6 != sK8
| spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f402,f415]) ).
fof(f402,plain,
( sK4 != sK6
| spl13_12 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f2612,plain,
( ~ spl13_17
| spl13_15
| ~ spl13_6
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1441,f1433,f368,f414,f423]) ).
fof(f1433,plain,
( spl13_167
<=> ! [X0] :
( host(X0) != host(sK9)
| sK4 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).
fof(f1441,plain,
( sK4 = sK8
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_167 ),
inference(trivial_inequality_removal,[],[f1439]) ).
fof(f1439,plain,
( host(sK9) != host(sK9)
| sK4 = sK8
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_167 ),
inference(superposition,[],[f1434,f370]) ).
fof(f1434,plain,
( ! [X0] :
( host(X0) != host(sK9)
| sK4 = X0
| ~ setIn(X0,alive) )
| ~ spl13_167 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f2611,plain,
( ~ spl13_40
| spl13_159
| ~ spl13_10
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1431,f1391,f388,f1349,f566]) ).
fof(f1391,plain,
( spl13_164
<=> ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK8,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).
fof(f1431,plain,
( setIn(sK3,alive)
| ~ leq(sK8,sK3)
| ~ spl13_10
| ~ spl13_164 ),
inference(trivial_inequality_removal,[],[f1424]) ).
fof(f1424,plain,
( host(sK9) != host(sK9)
| setIn(sK3,alive)
| ~ leq(sK8,sK3)
| ~ spl13_10
| ~ spl13_164 ),
inference(superposition,[],[f1392,f390]) ).
fof(f1392,plain,
( ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK8,X0) )
| ~ spl13_164 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f2608,plain,
( ~ spl13_269
| spl13_270
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1388,f1381,f2605,f2601]) ).
fof(f1381,plain,
( spl13_163
<=> ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).
fof(f1388,plain,
( setIn(sK7,alive)
| ~ leq(sK6,sK7)
| ~ spl13_163 ),
inference(equality_resolution,[],[f1382]) ).
fof(f1382,plain,
( ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK6,X0) )
| ~ spl13_163 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f2599,plain,
( ~ spl13_45
| spl13_159
| ~ spl13_10
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1379,f1369,f388,f1349,f587]) ).
fof(f1369,plain,
( spl13_162
<=> ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).
fof(f1379,plain,
( setIn(sK3,alive)
| ~ leq(sK4,sK3)
| ~ spl13_10
| ~ spl13_162 ),
inference(trivial_inequality_removal,[],[f1372]) ).
fof(f1372,plain,
( host(sK9) != host(sK9)
| setIn(sK3,alive)
| ~ leq(sK4,sK3)
| ~ spl13_10
| ~ spl13_162 ),
inference(superposition,[],[f1370,f390]) ).
fof(f1370,plain,
( ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK4,X0) )
| ~ spl13_162 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f2588,plain,
( spl13_17
| ~ spl13_16
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f2587,f1349,f418,f423]) ).
fof(f2587,plain,
( setIn(sK8,alive)
| ~ spl13_16
| ~ spl13_159 ),
inference(forward_demodulation,[],[f1351,f420]) ).
fof(f1351,plain,
( setIn(sK3,alive)
| ~ spl13_159 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f2582,plain,
( spl13_17
| spl13_268
| ~ spl13_6
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f628,f592,f368,f2580,f423]) ).
fof(f592,plain,
( spl13_46
<=> ! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f628,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(X0,alive)
| ~ leq(X0,sK8)
| setIn(sK8,alive) )
| ~ spl13_6
| ~ spl13_46 ),
inference(superposition,[],[f593,f370]) ).
fof(f593,plain,
( ! [X16,X15] :
( host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ leq(X16,X15)
| setIn(X15,alive) )
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f2537,plain,
( ~ spl13_159
| spl13_267
| ~ spl13_10
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f636,f596,f388,f2535,f1349]) ).
fof(f2535,plain,
( spl13_267
<=> ! [X0] :
( host(X0) != host(sK9)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_267])]) ).
fof(f596,plain,
( spl13_47
<=> ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f636,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| sK3 = X0 )
| ~ spl13_10
| ~ spl13_47 ),
inference(superposition,[],[f597,f390]) ).
fof(f597,plain,
( ! [X14,X13] :
( host(X13) != host(X14)
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14 )
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f2525,plain,
( ~ spl13_266
| spl13_49
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1376,f1369,f607,f2522]) ).
fof(f607,plain,
( spl13_49
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f1376,plain,
( setIn(sK9,alive)
| ~ leq(sK4,sK9)
| ~ spl13_162 ),
inference(equality_resolution,[],[f1370]) ).
fof(f2520,plain,
( spl13_228
| ~ spl13_10
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f2495,f457,f388,f2060]) ).
fof(f2060,plain,
( spl13_228
<=> leq(sK3,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_228])]) ).
fof(f457,plain,
( spl13_23
<=> ! [X8] :
( leq(X8,sK8)
| host(X8) != host(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f2495,plain,
( leq(sK3,sK8)
| ~ spl13_10
| ~ spl13_23 ),
inference(trivial_inequality_removal,[],[f1468]) ).
fof(f1468,plain,
( host(sK9) != host(sK9)
| leq(sK3,sK8)
| ~ spl13_10
| ~ spl13_23 ),
inference(superposition,[],[f458,f390]) ).
fof(f458,plain,
( ! [X8] :
( host(X8) != host(sK9)
| leq(X8,sK8) )
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2491,plain,
( ~ spl13_17
| ~ spl13_40
| ~ spl13_6
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1365,f1353,f368,f566,f423]) ).
fof(f1353,plain,
( spl13_160
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ leq(X0,sK3)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).
fof(f1365,plain,
( ~ leq(sK8,sK3)
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_160 ),
inference(trivial_inequality_removal,[],[f1363]) ).
fof(f1363,plain,
( host(sK9) != host(sK9)
| ~ leq(sK8,sK3)
| ~ setIn(sK8,alive)
| ~ spl13_6
| ~ spl13_160 ),
inference(superposition,[],[f1354,f370]) ).
fof(f1354,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ leq(X0,sK3)
| ~ setIn(X0,alive) )
| ~ spl13_160 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f2486,plain,
( spl13_265
| ~ spl13_79
| spl13_151 ),
inference(avatar_split_clause,[],[f1272,f1264,f774,f2483]) ).
fof(f1272,plain,
( leq(sK3,index(elid,host(sK9)))
| ~ spl13_79
| spl13_151 ),
inference(resolution,[],[f1265,f775]) ).
fof(f2481,plain,
( ~ spl13_264
| ~ spl13_6
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f1105,f855,f368,f2478]) ).
fof(f2478,plain,
( spl13_264
<=> elem(m_Down(sK8),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_264])]) ).
fof(f1105,plain,
( ~ elem(m_Down(sK8),queue(host(sK9)))
| ~ spl13_6
| ~ spl13_95 ),
inference(superposition,[],[f856,f370]) ).
fof(f2476,plain,
( ~ spl13_263
| ~ spl13_5
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f1104,f855,f363,f2473]) ).
fof(f2473,plain,
( spl13_263
<=> elem(m_Down(sK6),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_263])]) ).
fof(f1104,plain,
( ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ spl13_5
| ~ spl13_95 ),
inference(superposition,[],[f856,f365]) ).
fof(f2471,plain,
( ~ spl13_262
| ~ spl13_8
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f1103,f855,f378,f2468]) ).
fof(f2468,plain,
( spl13_262
<=> elem(m_Down(sK4),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_262])]) ).
fof(f1103,plain,
( ~ elem(m_Down(sK4),queue(host(sK9)))
| ~ spl13_8
| ~ spl13_95 ),
inference(superposition,[],[f856,f380]) ).
fof(f2466,plain,
( ~ spl13_261
| ~ spl13_10
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f1102,f855,f388,f2463]) ).
fof(f1102,plain,
( ~ elem(m_Down(sK3),queue(host(sK9)))
| ~ spl13_10
| ~ spl13_95 ),
inference(superposition,[],[f856,f390]) ).
fof(f2461,plain,
( spl13_260
| ~ spl13_31
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1006,f976,f517,f2459]) ).
fof(f2459,plain,
( spl13_260
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_260])]) ).
fof(f1006,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK9) )
| ~ spl13_31
| ~ spl13_116 ),
inference(resolution,[],[f977,f519]) ).
fof(f2457,plain,
( spl13_259
| ~ spl13_40
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1005,f976,f566,f2455]) ).
fof(f2455,plain,
( spl13_259
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_259])]) ).
fof(f1005,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK8) )
| ~ spl13_40
| ~ spl13_116 ),
inference(resolution,[],[f977,f568]) ).
fof(f2438,plain,
( spl13_258
| ~ spl13_45
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1004,f976,f587,f2436]) ).
fof(f2436,plain,
( spl13_258
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_258])]) ).
fof(f1004,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK4) )
| ~ spl13_45
| ~ spl13_116 ),
inference(resolution,[],[f977,f589]) ).
fof(f2425,plain,
( spl13_257
| ~ spl13_56
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1185,f1173,f674,f2423]) ).
fof(f2423,plain,
( spl13_257
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_257])]) ).
fof(f1173,plain,
( spl13_135
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_56
| ~ spl13_135 ),
inference(superposition,[],[f1174,f675]) ).
fof(f1174,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) )
| ~ spl13_135 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f2421,plain,
( spl13_256
| ~ spl13_55
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1184,f1173,f670,f2419]) ).
fof(f2419,plain,
( spl13_256
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_256])]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_55
| ~ spl13_135 ),
inference(superposition,[],[f1174,f671]) ).
fof(f2417,plain,
( spl13_255
| ~ spl13_56
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1183,f1173,f674,f2415]) ).
fof(f2415,plain,
( spl13_255
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_255])]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl13_56
| ~ spl13_135 ),
inference(superposition,[],[f1174,f675]) ).
fof(f2413,plain,
( spl13_254
| ~ spl13_55
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1182,f1173,f670,f2411]) ).
fof(f2411,plain,
( spl13_254
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_254])]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl13_55
| ~ spl13_135 ),
inference(superposition,[],[f1174,f671]) ).
fof(f2409,plain,
( spl13_253
| ~ spl13_56
| ~ spl13_134 ),
inference(avatar_split_clause,[],[f1179,f1169,f674,f2407]) ).
fof(f2407,plain,
( spl13_253
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_253])]) ).
fof(f1169,plain,
( spl13_134
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f1179,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_56
| ~ spl13_134 ),
inference(superposition,[],[f1170,f675]) ).
fof(f1170,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) )
| ~ spl13_134 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f2405,plain,
( spl13_252
| ~ spl13_55
| ~ spl13_134 ),
inference(avatar_split_clause,[],[f1178,f1169,f670,f2403]) ).
fof(f2403,plain,
( spl13_252
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_252])]) ).
fof(f1178,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_55
| ~ spl13_134 ),
inference(superposition,[],[f1170,f671]) ).
fof(f2401,plain,
( spl13_251
| ~ spl13_56
| ~ spl13_134 ),
inference(avatar_split_clause,[],[f1177,f1169,f674,f2399]) ).
fof(f2399,plain,
( spl13_251
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_251])]) ).
fof(f1177,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl13_56
| ~ spl13_134 ),
inference(superposition,[],[f1170,f675]) ).
fof(f2397,plain,
( spl13_250
| ~ spl13_55
| ~ spl13_134 ),
inference(avatar_split_clause,[],[f1176,f1169,f670,f2395]) ).
fof(f2395,plain,
( spl13_250
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_250])]) ).
fof(f1176,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl13_55
| ~ spl13_134 ),
inference(superposition,[],[f1170,f671]) ).
fof(f2391,plain,
( spl13_249
| ~ spl13_92
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1151,f1137,f836,f2389]) ).
fof(f2389,plain,
( spl13_249
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_249])]) ).
fof(f836,plain,
( spl13_92
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f1137,plain,
( spl13_130
<=> ! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_92
| ~ spl13_130 ),
inference(resolution,[],[f1138,f837]) ).
fof(f837,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP1(X0,X1) )
| ~ spl13_92 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1138,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK10(X0)) = X0
| m_Down(sK10(X0)) = X0 )
| ~ spl13_130 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f2387,plain,
( spl13_248
| ~ spl13_90
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1150,f1137,f828,f2385]) ).
fof(f2385,plain,
( spl13_248
<=> ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_248])]) ).
fof(f828,plain,
( spl13_90
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f1150,plain,
( ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_90
| ~ spl13_130 ),
inference(resolution,[],[f1138,f829]) ).
fof(f829,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP0(X0,X1) )
| ~ spl13_90 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f2321,plain,
( spl13_247
| ~ spl13_105
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1133,f1092,f901,f2319]) ).
fof(f1133,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl13_105
| ~ spl13_129 ),
inference(resolution,[],[f1093,f902]) ).
fof(f2315,plain,
( spl13_246
| ~ spl13_104
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1132,f1092,f897,f2313]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl13_104
| ~ spl13_129 ),
inference(resolution,[],[f1093,f898]) ).
fof(f2311,plain,
( spl13_245
| ~ spl13_105
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1126,f1088,f901,f2309]) ).
fof(f1088,plain,
( spl13_128
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_105
| ~ spl13_128 ),
inference(resolution,[],[f1089,f902]) ).
fof(f1089,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_128 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f2307,plain,
( spl13_244
| ~ spl13_104
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1125,f1088,f897,f2305]) ).
fof(f1125,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_104
| ~ spl13_128 ),
inference(resolution,[],[f1089,f898]) ).
fof(f2276,plain,
( spl13_243
| ~ spl13_127
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1129,f1088,f1084,f2274]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_127
| ~ spl13_128 ),
inference(superposition,[],[f1089,f1085]) ).
fof(f2272,plain,
( spl13_242
| ~ spl13_114
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1120,f1084,f968,f2270]) ).
fof(f968,plain,
( spl13_114
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_114
| ~ spl13_127 ),
inference(superposition,[],[f969,f1085]) ).
fof(f969,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl13_114 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f2230,plain,
( ~ spl13_240
| spl13_241
| ~ spl13_31
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f995,f972,f517,f2227,f2223]) ).
fof(f972,plain,
( spl13_115
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f995,plain,
( sK3 = sK9
| ~ leq(sK3,sK9)
| ~ spl13_31
| ~ spl13_115 ),
inference(resolution,[],[f973,f519]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl13_115 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f2186,plain,
( spl13_239
| ~ spl13_43
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1149,f1137,f579,f2184]) ).
fof(f579,plain,
( spl13_43
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f1149,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) )
| ~ spl13_43
| ~ spl13_130 ),
inference(resolution,[],[f1138,f580]) ).
fof(f580,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f2182,plain,
( spl13_238
| ~ spl13_44
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1148,f1137,f583,f2180]) ).
fof(f583,plain,
( spl13_44
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1148,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) )
| ~ spl13_44
| ~ spl13_130 ),
inference(resolution,[],[f1138,f584]) ).
fof(f584,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f2178,plain,
( spl13_237
| ~ spl13_118
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1135,f1092,f1012,f2176]) ).
fof(f2176,plain,
( spl13_237
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_237])]) ).
fof(f1012,plain,
( spl13_118
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f1135,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_129 ),
inference(superposition,[],[f1093,f1013]) ).
fof(f1013,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl13_118 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f2174,plain,
( spl13_236
| ~ spl13_117
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1128,f1088,f1008,f2172]) ).
fof(f2172,plain,
( spl13_236
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_236])]) ).
fof(f1128,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_117
| ~ spl13_128 ),
inference(superposition,[],[f1089,f1009]) ).
fof(f2170,plain,
( spl13_235
| ~ spl13_118
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1112,f1084,f1012,f2168]) ).
fof(f1112,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_127 ),
inference(superposition,[],[f1085,f1013]) ).
fof(f2125,plain,
( spl13_234
| ~ spl13_113
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1054,f1012,f964,f2123]) ).
fof(f1054,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_113
| ~ spl13_118 ),
inference(superposition,[],[f965,f1013]) ).
fof(f2121,plain,
( spl13_233
| ~ spl13_114
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1046,f1008,f968,f2119]) ).
fof(f1046,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_114
| ~ spl13_117 ),
inference(superposition,[],[f969,f1009]) ).
fof(f2117,plain,
( spl13_232
| ~ spl13_101
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f992,f972,f884,f2115]) ).
fof(f992,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl13_101
| ~ spl13_115 ),
inference(resolution,[],[f973,f885]) ).
fof(f2083,plain,
( spl13_231
| ~ spl13_106
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1122,f1084,f905,f2081]) ).
fof(f905,plain,
( spl13_106
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f1122,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_106
| ~ spl13_127 ),
inference(superposition,[],[f906,f1085]) ).
fof(f906,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl13_106 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f2079,plain,
( spl13_230
| ~ spl13_107
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1119,f1084,f909,f2077]) ).
fof(f909,plain,
( spl13_107
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f1119,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_107
| ~ spl13_127 ),
inference(superposition,[],[f910,f1085]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl13_107 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f2075,plain,
( spl13_229
| ~ spl13_101
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1110,f1080,f884,f2073]) ).
fof(f1110,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl13_101
| ~ spl13_126 ),
inference(resolution,[],[f1081,f885]) ).
fof(f2063,plain,
( ~ spl13_228
| spl13_16
| ~ spl13_40
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f994,f972,f566,f418,f2060]) ).
fof(f994,plain,
( sK3 = sK8
| ~ leq(sK3,sK8)
| ~ spl13_40
| ~ spl13_115 ),
inference(resolution,[],[f973,f568]) ).
fof(f2007,plain,
( spl13_227
| ~ spl13_89
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1121,f1084,f824,f2005]) ).
fof(f824,plain,
( spl13_89
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_89
| ~ spl13_127 ),
inference(superposition,[],[f825,f1085]) ).
fof(f825,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f2003,plain,
( spl13_226
| ~ spl13_93
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1118,f1084,f840,f2001]) ).
fof(f840,plain,
( spl13_93
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_93
| ~ spl13_127 ),
inference(superposition,[],[f841,f1085]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl13_93 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1999,plain,
( spl13_225
| ~ spl13_79
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1108,f1080,f774,f1997]) ).
fof(f1108,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl13_79
| ~ spl13_126 ),
inference(resolution,[],[f1081,f775]) ).
fof(f1995,plain,
( spl13_224
| ~ spl13_56
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1072,f1028,f674,f1993]) ).
fof(f1028,plain,
( spl13_122
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_122 ),
inference(superposition,[],[f1029,f675]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl13_122 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1991,plain,
( spl13_223
| ~ spl13_55
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1071,f1028,f670,f1989]) ).
fof(f1071,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_122 ),
inference(superposition,[],[f1029,f671]) ).
fof(f1987,plain,
( spl13_222
| ~ spl13_56
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1068,f1024,f674,f1985]) ).
fof(f1985,plain,
( spl13_222
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_222])]) ).
fof(f1024,plain,
( spl13_121
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_121 ),
inference(superposition,[],[f1025,f675]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_121 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1983,plain,
( spl13_221
| ~ spl13_55
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1067,f1024,f670,f1981]) ).
fof(f1981,plain,
( spl13_221
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_221])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_121 ),
inference(superposition,[],[f1025,f671]) ).
fof(f1979,plain,
( spl13_220
| ~ spl13_101
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1003,f976,f884,f1977]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl13_101
| ~ spl13_116 ),
inference(resolution,[],[f977,f885]) ).
fof(f1975,plain,
( spl13_219
| ~ spl13_94
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f988,f972,f844,f1973]) ).
fof(f988,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl13_94
| ~ spl13_115 ),
inference(resolution,[],[f973,f845]) ).
fof(f1897,plain,
( spl13_218
| ~ spl13_81
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1117,f1084,f782,f1895]) ).
fof(f782,plain,
( spl13_81
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_81
| ~ spl13_127 ),
inference(superposition,[],[f783,f1085]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl13_81 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1893,plain,
( spl13_217
| ~ spl13_78
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1116,f1084,f770,f1891]) ).
fof(f770,plain,
( spl13_78
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f1116,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_78
| ~ spl13_127 ),
inference(superposition,[],[f771,f1085]) ).
fof(f771,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl13_78 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1889,plain,
( spl13_216
| ~ spl13_79
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1069,f1028,f774,f1887]) ).
fof(f1069,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) )
| ~ spl13_79
| ~ spl13_122 ),
inference(resolution,[],[f1029,f775]) ).
fof(f1885,plain,
( spl13_215
| ~ spl13_108
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1053,f1012,f913,f1883]) ).
fof(f1053,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_108
| ~ spl13_118 ),
inference(superposition,[],[f914,f1013]) ).
fof(f1881,plain,
( ~ spl13_213
| spl13_214
| ~ spl13_45
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f993,f972,f587,f1878,f1874]) ).
fof(f1878,plain,
( spl13_214
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_214])]) ).
fof(f993,plain,
( sK3 = sK4
| ~ leq(sK3,sK4)
| ~ spl13_45
| ~ spl13_115 ),
inference(resolution,[],[f973,f589]) ).
fof(f1872,plain,
( spl13_212
| ~ spl13_91
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1052,f1012,f832,f1870]) ).
fof(f1870,plain,
( spl13_212
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_212])]) ).
fof(f1052,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl13_91
| ~ spl13_118 ),
inference(superposition,[],[f833,f1013]) ).
fof(f1868,plain,
( spl13_211
| ~ spl13_107
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1045,f1008,f909,f1866]) ).
fof(f1045,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_107
| ~ spl13_117 ),
inference(superposition,[],[f910,f1009]) ).
fof(f1864,plain,
( spl13_210
| ~ spl13_93
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1044,f1008,f840,f1862]) ).
fof(f1862,plain,
( spl13_210
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_210])]) ).
fof(f1044,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl13_93
| ~ spl13_117 ),
inference(superposition,[],[f841,f1009]) ).
fof(f1860,plain,
( spl13_209
| ~ spl13_94
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f999,f976,f844,f1858]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl13_94
| ~ spl13_116 ),
inference(resolution,[],[f977,f845]) ).
fof(f1856,plain,
( spl13_208
| ~ spl13_57
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f991,f972,f678,f1854]) ).
fof(f1854,plain,
( spl13_208
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_208])]) ).
fof(f991,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl13_57
| ~ spl13_115 ),
inference(resolution,[],[f973,f679]) ).
fof(f1837,plain,
( spl13_207
| ~ spl13_79
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f997,f976,f774,f1835]) ).
fof(f997,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl13_79
| ~ spl13_116 ),
inference(resolution,[],[f977,f775]) ).
fof(f1788,plain,
( ~ spl13_14
| spl13_206
| ~ spl13_5
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f951,f940,f363,f1786,f409]) ).
fof(f940,plain,
( spl13_110
<=> ! [X10,X11,X12,X9] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X2) != host(X1)
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK7) )
| ~ spl13_5
| ~ spl13_110 ),
inference(superposition,[],[f941,f365]) ).
fof(f941,plain,
( ! [X10,X11,X9,X12] :
( host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X9)))
| ~ elem(m_Down(X10),queue(host(X11)))
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
| ~ spl13_110 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1775,plain,
( ~ spl13_1
| spl13_205
| ~ spl13_8
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f950,f940,f378,f1773,f343]) ).
fof(f343,plain,
( spl13_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X2) != host(X1)
| ~ setIn(sK4,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK9) )
| ~ spl13_8
| ~ spl13_110 ),
inference(superposition,[],[f941,f380]) ).
fof(f1771,plain,
( spl13_204
| ~ spl13_6
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f947,f940,f368,f1769]) ).
fof(f1769,plain,
( spl13_204
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_204])]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_110 ),
inference(superposition,[],[f941,f370]) ).
fof(f1767,plain,
( spl13_203
| ~ spl13_5
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f946,f940,f363,f1765]) ).
fof(f946,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_110 ),
inference(superposition,[],[f941,f365]) ).
fof(f1763,plain,
( spl13_202
| ~ spl13_8
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f945,f940,f378,f1761]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_8
| ~ spl13_110 ),
inference(superposition,[],[f941,f380]) ).
fof(f1759,plain,
( spl13_201
| ~ spl13_10
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f944,f940,f388,f1757]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_10
| ~ spl13_110 ),
inference(superposition,[],[f941,f390]) ).
fof(f1723,plain,
( spl13_200
| ~ spl13_77
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1115,f1084,f766,f1721]) ).
fof(f766,plain,
( spl13_77
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f1115,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_77
| ~ spl13_127 ),
inference(superposition,[],[f767,f1085]) ).
fof(f767,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl13_77 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f1719,plain,
( spl13_199
| ~ spl13_80
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1051,f1012,f778,f1717]) ).
fof(f1717,plain,
( spl13_199
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).
fof(f1051,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_80
| ~ spl13_118 ),
inference(superposition,[],[f779,f1013]) ).
fof(f1715,plain,
( spl13_198
| ~ spl13_81
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1043,f1008,f782,f1713]) ).
fof(f1713,plain,
( spl13_198
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).
fof(f1043,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl13_81
| ~ spl13_117 ),
inference(superposition,[],[f783,f1009]) ).
fof(f1711,plain,
( spl13_197
| ~ spl13_57
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1002,f976,f678,f1709]) ).
fof(f1002,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl13_57
| ~ spl13_116 ),
inference(resolution,[],[f977,f679]) ).
fof(f1707,plain,
( spl13_196
| ~ spl13_137
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1237,f1234,f1198,f1705]) ).
fof(f1705,plain,
( spl13_196
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).
fof(f1234,plain,
( spl13_144
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).
fof(f1237,plain,
( ! [X0] : ~ elem(m_Ack(sK8,X0),sK2)
| ~ spl13_137
| ~ spl13_144 ),
inference(resolution,[],[f1235,f1199]) ).
fof(f1235,plain,
( ! [X0] : ~ elem(m_Ack(sK8,X0),queue(host(sK9)))
| ~ spl13_144 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1700,plain,
( ~ spl13_194
| spl13_195
| ~ spl13_51
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f990,f972,f648,f1697,f1693]) ).
fof(f1697,plain,
( spl13_195
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).
fof(f990,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl13_51
| ~ spl13_115 ),
inference(resolution,[],[f973,f650]) ).
fof(f1691,plain,
( spl13_193
| ~ spl13_53
| ~ spl13_115 ),
inference(avatar_split_clause,[],[f989,f972,f657,f1689]) ).
fof(f1689,plain,
( spl13_193
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).
fof(f989,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_53
| ~ spl13_115 ),
inference(resolution,[],[f973,f658]) ).
fof(f1687,plain,
( spl13_192
| ~ spl13_79
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f930,f893,f774,f1685]) ).
fof(f930,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl13_79
| ~ spl13_103 ),
inference(resolution,[],[f894,f775]) ).
fof(f1652,plain,
( spl13_191
| ~ spl13_137
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1216,f1213,f1198,f1650]) ).
fof(f1650,plain,
( spl13_191
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).
fof(f1213,plain,
( spl13_139
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).
fof(f1216,plain,
( ! [X0] : ~ elem(m_Ack(sK3,X0),sK2)
| ~ spl13_137
| ~ spl13_139 ),
inference(resolution,[],[f1214,f1199]) ).
fof(f1214,plain,
( ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK9)))
| ~ spl13_139 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1640,plain,
( spl13_190
| ~ spl13_72
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1114,f1084,f738,f1638]) ).
fof(f738,plain,
( spl13_72
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1114,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_72
| ~ spl13_127 ),
inference(superposition,[],[f739,f1085]) ).
fof(f739,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f1636,plain,
( spl13_189
| ~ spl13_73
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1050,f1012,f742,f1634]) ).
fof(f1050,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_118 ),
inference(superposition,[],[f743,f1013]) ).
fof(f1632,plain,
( spl13_188
| ~ spl13_72
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1042,f1008,f738,f1630]) ).
fof(f1042,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_72
| ~ spl13_117 ),
inference(superposition,[],[f739,f1009]) ).
fof(f1628,plain,
( spl13_187
| ~ spl13_51
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1001,f976,f648,f1626]) ).
fof(f1001,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl13_51
| ~ spl13_116 ),
inference(resolution,[],[f977,f650]) ).
fof(f1624,plain,
( spl13_186
| ~ spl13_53
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1000,f976,f657,f1622]) ).
fof(f1000,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl13_53
| ~ spl13_116 ),
inference(resolution,[],[f977,f658]) ).
fof(f1620,plain,
( spl13_185
| ~ spl13_93
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f934,f905,f840,f1618]) ).
fof(f1618,plain,
( spl13_185
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl13_93
| ~ spl13_106 ),
inference(resolution,[],[f906,f841]) ).
fof(f1616,plain,
( spl13_184
| ~ spl13_94
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f928,f893,f844,f1614]) ).
fof(f928,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl13_94
| ~ spl13_103 ),
inference(resolution,[],[f894,f845]) ).
fof(f1606,plain,
( spl13_183
| ~ spl13_89
| ~ spl13_93 ),
inference(avatar_split_clause,[],[f860,f840,f824,f1604]) ).
fof(f1604,plain,
( spl13_183
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).
fof(f860,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl13_89
| ~ spl13_93 ),
inference(resolution,[],[f841,f825]) ).
fof(f1602,plain,
( spl13_182
| ~ spl13_77
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f849,f820,f766,f1600]) ).
fof(f1600,plain,
( spl13_182
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).
fof(f849,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl13_77
| ~ spl13_88 ),
inference(superposition,[],[f767,f821]) ).
fof(f1598,plain,
( spl13_181
| ~ spl13_78
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f848,f820,f770,f1596]) ).
fof(f1596,plain,
( spl13_181
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).
fof(f848,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl13_78
| ~ spl13_88 ),
inference(superposition,[],[f771,f821]) ).
fof(f1590,plain,
( spl13_180
| ~ spl13_52
| ~ spl13_94 ),
inference(avatar_split_clause,[],[f862,f844,f653,f1588]) ).
fof(f862,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_52
| ~ spl13_94 ),
inference(resolution,[],[f845,f654]) ).
fof(f1562,plain,
( spl13_179
| ~ spl13_79
| spl13_170 ),
inference(avatar_split_clause,[],[f1481,f1477,f774,f1559]) ).
fof(f1481,plain,
( leq(sK8,sK4)
| ~ spl13_79
| spl13_170 ),
inference(resolution,[],[f1478,f775]) ).
fof(f1478,plain,
( ~ leq(sK4,sK8)
| spl13_170 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1527,plain,
( spl13_178
| ~ spl13_6
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1166,f1154,f368,f1525]) ).
fof(f1525,plain,
( spl13_178
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).
fof(f1154,plain,
( spl13_133
<=> ! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1166,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) )
| ~ spl13_6
| ~ spl13_133 ),
inference(superposition,[],[f1155,f370]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl13_133 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1523,plain,
( spl13_177
| ~ spl13_5
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1165,f1154,f363,f1521]) ).
fof(f1165,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl13_5
| ~ spl13_133 ),
inference(superposition,[],[f1155,f365]) ).
fof(f1519,plain,
( spl13_176
| ~ spl13_8
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1164,f1154,f378,f1517]) ).
fof(f1164,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl13_8
| ~ spl13_133 ),
inference(superposition,[],[f1155,f380]) ).
fof(f1515,plain,
( spl13_175
| ~ spl13_10
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1163,f1154,f388,f1513]) ).
fof(f1163,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_10
| ~ spl13_133 ),
inference(superposition,[],[f1155,f390]) ).
fof(f1511,plain,
( spl13_174
| ~ spl13_6
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1161,f1154,f368,f1509]) ).
fof(f1509,plain,
( spl13_174
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).
fof(f1161,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_6
| ~ spl13_133 ),
inference(superposition,[],[f1155,f370]) ).
fof(f1507,plain,
( spl13_173
| ~ spl13_5
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1160,f1154,f363,f1505]) ).
fof(f1160,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_5
| ~ spl13_133 ),
inference(superposition,[],[f1155,f365]) ).
fof(f1501,plain,
( spl13_172
| ~ spl13_8
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1159,f1154,f378,f1499]) ).
fof(f1159,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_8
| ~ spl13_133 ),
inference(superposition,[],[f1155,f380]) ).
fof(f1493,plain,
( spl13_171
| ~ spl13_52
| ~ spl13_79 ),
inference(avatar_split_clause,[],[f813,f774,f653,f1491]) ).
fof(f813,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_52
| ~ spl13_79 ),
inference(resolution,[],[f775,f654]) ).
fof(f1480,plain,
( spl13_170
| ~ spl13_8
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f1409,f457,f378,f1477]) ).
fof(f1409,plain,
( leq(sK4,sK8)
| ~ spl13_8
| ~ spl13_23 ),
inference(trivial_inequality_removal,[],[f1404]) ).
fof(f1404,plain,
( host(sK9) != host(sK9)
| leq(sK4,sK8)
| ~ spl13_8
| ~ spl13_23 ),
inference(superposition,[],[f458,f380]) ).
fof(f1455,plain,
( ~ spl13_17
| spl13_169
| ~ spl13_6
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f639,f596,f368,f1453,f423]) ).
fof(f1453,plain,
( spl13_169
<=> ! [X0] :
( host(X0) != host(sK9)
| sK8 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).
fof(f639,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| sK8 = X0 )
| ~ spl13_6
| ~ spl13_47 ),
inference(superposition,[],[f597,f370]) ).
fof(f1446,plain,
( ~ spl13_14
| spl13_168
| ~ spl13_5
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f638,f596,f363,f1444,f409]) ).
fof(f1444,plain,
( spl13_168
<=> ! [X0] :
( host(X0) != host(sK7)
| sK6 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).
fof(f638,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 )
| ~ spl13_5
| ~ spl13_47 ),
inference(superposition,[],[f597,f365]) ).
fof(f1435,plain,
( ~ spl13_1
| spl13_167
| ~ spl13_8
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f637,f596,f378,f1433,f343]) ).
fof(f637,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| sK4 = X0 )
| ~ spl13_8
| ~ spl13_47 ),
inference(superposition,[],[f597,f380]) ).
fof(f1422,plain,
( spl13_166
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f1407,f457,f1418]) ).
fof(f1407,plain,
( leq(sK9,sK8)
| ~ spl13_23 ),
inference(equality_resolution,[],[f458]) ).
fof(f1421,plain,
( spl13_166
| ~ spl13_16
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f1397,f517,f418,f1418]) ).
fof(f1397,plain,
( leq(sK9,sK8)
| ~ spl13_16
| ~ spl13_31 ),
inference(superposition,[],[f519,f420]) ).
fof(f1416,plain,
( ~ spl13_165
| spl13_4
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f428,f418,f358,f1413]) ).
fof(f1413,plain,
( spl13_165
<=> s(zero) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).
fof(f358,plain,
( spl13_4
<=> s(zero) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f428,plain,
( s(zero) != host(sK8)
| spl13_4
| ~ spl13_16 ),
inference(superposition,[],[f360,f420]) ).
fof(f360,plain,
( s(zero) != host(sK3)
| spl13_4 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1393,plain,
( ~ spl13_17
| spl13_164
| ~ spl13_6
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f633,f592,f368,f1391,f423]) ).
fof(f633,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK8,alive)
| ~ leq(sK8,X0)
| setIn(X0,alive) )
| ~ spl13_6
| ~ spl13_46 ),
inference(superposition,[],[f593,f370]) ).
fof(f1383,plain,
( ~ spl13_14
| spl13_163
| ~ spl13_5
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f632,f592,f363,f1381,f409]) ).
fof(f632,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK6,alive)
| ~ leq(sK6,X0)
| setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_46 ),
inference(superposition,[],[f593,f365]) ).
fof(f1371,plain,
( ~ spl13_1
| spl13_162
| ~ spl13_8
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f631,f592,f378,f1369,f343]) ).
fof(f631,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK4,alive)
| ~ leq(sK4,X0)
| setIn(X0,alive) )
| ~ spl13_8
| ~ spl13_46 ),
inference(superposition,[],[f593,f380]) ).
fof(f1359,plain,
( ~ spl13_159
| spl13_161
| ~ spl13_10
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f630,f592,f388,f1357,f1349]) ).
fof(f630,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK3,alive)
| ~ leq(sK3,X0)
| setIn(X0,alive) )
| ~ spl13_10
| ~ spl13_46 ),
inference(superposition,[],[f593,f390]) ).
fof(f1355,plain,
( spl13_159
| spl13_160
| ~ spl13_10
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f625,f592,f388,f1353,f1349]) ).
fof(f625,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(X0,alive)
| ~ leq(X0,sK3)
| setIn(sK3,alive) )
| ~ spl13_10
| ~ spl13_46 ),
inference(superposition,[],[f593,f390]) ).
fof(f1346,plain,
( spl13_158
| ~ spl13_48
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1060,f1020,f600,f1344]) ).
fof(f1344,plain,
( spl13_158
<=> ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK9)),X0),queue(host(sK5)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).
fof(f600,plain,
( spl13_48
<=> host(sK5) = host(index(elid,host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f1060,plain,
( ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK9)),X0),queue(host(sK5)))
| setIn(X0,pids) )
| ~ spl13_48
| ~ spl13_120 ),
inference(superposition,[],[f1021,f602]) ).
fof(f602,plain,
( host(sK5) = host(index(elid,host(sK9)))
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f1342,plain,
( spl13_157
| ~ spl13_39
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f933,f901,f562,f1340]) ).
fof(f1340,plain,
( spl13_157
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).
fof(f933,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl13_39
| ~ spl13_105 ),
inference(resolution,[],[f902,f563]) ).
fof(f1338,plain,
( spl13_156
| ~ spl13_54
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f858,f832,f661,f1336]) ).
fof(f1336,plain,
( spl13_156
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).
fof(f661,plain,
( spl13_54
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f858,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl13_54
| ~ spl13_91 ),
inference(resolution,[],[f833,f662]) ).
fof(f662,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f1320,plain,
( spl13_155
| ~ spl13_22
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1134,f1092,f452,f1318]) ).
fof(f452,plain,
( spl13_22
<=> cons(m_Down(sK5),sK2) = queue(host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f1134,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK9)))
| m_Down(sK5) = X0
| elem(X0,sK2) )
| ~ spl13_22
| ~ spl13_129 ),
inference(superposition,[],[f1093,f454]) ).
fof(f454,plain,
( cons(m_Down(sK5),sK2) = queue(host(sK9))
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f1316,plain,
( spl13_154
| ~ spl13_22
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1111,f1084,f452,f1314]) ).
fof(f1111,plain,
( ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK9)),X0)
| ~ spl13_22
| ~ spl13_127 ),
inference(superposition,[],[f1085,f454]) ).
fof(f1278,plain,
( ~ spl13_153
| ~ spl13_95
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1211,f1198,f855,f1275]) ).
fof(f1275,plain,
( spl13_153
<=> elem(m_Down(sK9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).
fof(f1211,plain,
( ~ elem(m_Down(sK9),sK2)
| ~ spl13_95
| ~ spl13_137 ),
inference(resolution,[],[f1199,f856]) ).
fof(f1271,plain,
( spl13_151
| ~ spl13_152
| ~ spl13_21
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f623,f600,f447,f1268,f1264]) ).
fof(f1268,plain,
( spl13_152
<=> host(sK5) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).
fof(f447,plain,
( spl13_21
<=> ! [X8] :
( host(X8) != host(sK9)
| leq(X8,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f623,plain,
( host(sK5) != host(sK9)
| leq(index(elid,host(sK9)),sK3)
| ~ spl13_21
| ~ spl13_48 ),
inference(superposition,[],[f448,f602]) ).
fof(f448,plain,
( ! [X8] :
( host(X8) != host(sK9)
| leq(X8,sK3) )
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1262,plain,
( spl13_150
| ~ spl13_6
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f493,f483,f368,f1260]) ).
fof(f1260,plain,
( spl13_150
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).
fof(f483,plain,
( spl13_26
<=> ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f493,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X0))) )
| ~ spl13_6
| ~ spl13_26 ),
inference(superposition,[],[f484,f370]) ).
fof(f484,plain,
( ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1258,plain,
( spl13_149
| ~ spl13_5
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f492,f483,f363,f1256]) ).
fof(f1256,plain,
( spl13_149
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).
fof(f492,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_26 ),
inference(superposition,[],[f484,f365]) ).
fof(f1254,plain,
( spl13_148
| ~ spl13_8
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f491,f483,f378,f1252]) ).
fof(f1252,plain,
( spl13_148
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).
fof(f491,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl13_8
| ~ spl13_26 ),
inference(superposition,[],[f484,f380]) ).
fof(f1250,plain,
( spl13_147
| ~ spl13_10
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f490,f483,f388,f1248]) ).
fof(f1248,plain,
( spl13_147
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).
fof(f490,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X0))) )
| ~ spl13_10
| ~ spl13_26 ),
inference(superposition,[],[f484,f390]) ).
fof(f1245,plain,
( spl13_146
| ~ spl13_5
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1063,f1020,f363,f1243]) ).
fof(f1243,plain,
( spl13_146
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).
fof(f1063,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(X0,pids) )
| ~ spl13_5
| ~ spl13_120 ),
inference(superposition,[],[f1021,f365]) ).
fof(f1241,plain,
( spl13_145
| ~ spl13_8
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1062,f1020,f378,f1239]) ).
fof(f1062,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK9)))
| setIn(X0,pids) )
| ~ spl13_8
| ~ spl13_120 ),
inference(superposition,[],[f1021,f380]) ).
fof(f1236,plain,
( spl13_19
| spl13_144
| ~ spl13_6
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1059,f1016,f368,f1234,f437]) ).
fof(f1059,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK9)))
| setIn(sK8,pids) )
| ~ spl13_6
| ~ spl13_119 ),
inference(superposition,[],[f1017,f370]) ).
fof(f1232,plain,
( spl13_142
| spl13_143
| ~ spl13_5
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1058,f1016,f363,f1230,f1226]) ).
fof(f1226,plain,
( spl13_142
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).
fof(f1230,plain,
( spl13_143
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).
fof(f1058,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(sK6,pids) )
| ~ spl13_5
| ~ spl13_119 ),
inference(superposition,[],[f1017,f365]) ).
fof(f1224,plain,
( spl13_140
| spl13_141
| ~ spl13_8
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1057,f1016,f378,f1222,f1218]) ).
fof(f1222,plain,
( spl13_141
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).
fof(f1057,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK9)))
| setIn(sK4,pids) )
| ~ spl13_8
| ~ spl13_119 ),
inference(superposition,[],[f1017,f380]) ).
fof(f1215,plain,
( spl13_2
| spl13_139
| ~ spl13_10
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1056,f1016,f388,f1213,f348]) ).
fof(f348,plain,
( spl13_2
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f1056,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK9)))
| setIn(sK3,pids) )
| ~ spl13_10
| ~ spl13_119 ),
inference(superposition,[],[f1017,f390]) ).
fof(f1205,plain,
( ~ spl13_138
| ~ spl13_25
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f1152,f888,f474,f1202]) ).
fof(f1202,plain,
( spl13_138
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).
fof(f888,plain,
( spl13_102
<=> elem(m_Down(sK5),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f1152,plain,
( ~ setIn(sK5,alive)
| ~ spl13_25
| ~ spl13_102 ),
inference(resolution,[],[f890,f475]) ).
fof(f890,plain,
( elem(m_Down(sK5),queue(host(sK9)))
| ~ spl13_102 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f1200,plain,
( spl13_137
| ~ spl13_22
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f938,f913,f452,f1198]) ).
fof(f938,plain,
( ! [X0] :
( elem(X0,queue(host(sK9)))
| ~ elem(X0,sK2) )
| ~ spl13_22
| ~ spl13_108 ),
inference(superposition,[],[f914,f454]) ).
fof(f1194,plain,
( spl13_136
| ~ spl13_22
| ~ spl13_75 ),
inference(avatar_split_clause,[],[f805,f758,f452,f1191]) ).
fof(f1191,plain,
( spl13_136
<=> m_Down(sK5) = head(queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).
fof(f805,plain,
( m_Down(sK5) = head(queue(host(sK9)))
| ~ spl13_22
| ~ spl13_75 ),
inference(superposition,[],[f759,f454]) ).
fof(f1175,plain,
spl13_135,
inference(avatar_split_clause,[],[f280,f1173]) ).
fof(f280,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1171,plain,
spl13_134,
inference(avatar_split_clause,[],[f271,f1169]) ).
fof(f271,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1156,plain,
spl13_133,
inference(avatar_split_clause,[],[f303,f1154]) ).
fof(f303,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1147,plain,
spl13_132,
inference(avatar_split_clause,[],[f284,f1145]) ).
fof(f1145,plain,
( spl13_132
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1143,plain,
spl13_131,
inference(avatar_split_clause,[],[f275,f1141]) ).
fof(f1141,plain,
( spl13_131
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1139,plain,
spl13_130,
inference(avatar_split_clause,[],[f234,f1137]) ).
fof(f234,plain,
! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1094,plain,
spl13_129,
inference(avatar_split_clause,[],[f307,f1092]) ).
fof(f307,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f1090,plain,
spl13_128,
inference(avatar_split_clause,[],[f304,f1088]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1086,plain,
spl13_127,
inference(avatar_split_clause,[],[f300,f1084]) ).
fof(f300,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f1082,plain,
spl13_126,
inference(avatar_split_clause,[],[f289,f1080]) ).
fof(f289,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f1078,plain,
spl13_125,
inference(avatar_split_clause,[],[f256,f1076]) ).
fof(f1076,plain,
( spl13_125
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f256,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f1038,plain,
spl13_124,
inference(avatar_split_clause,[],[f311,f1036]) ).
fof(f1036,plain,
( spl13_124
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f1034,plain,
spl13_123,
inference(avatar_split_clause,[],[f310,f1032]) ).
fof(f1032,plain,
( spl13_123
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f1030,plain,
spl13_122,
inference(avatar_split_clause,[],[f285,f1028]) ).
fof(f285,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1026,plain,
spl13_121,
inference(avatar_split_clause,[],[f276,f1024]) ).
fof(f276,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1022,plain,
spl13_120,
inference(avatar_split_clause,[],[f258,f1020]) ).
fof(f258,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f1018,plain,
spl13_119,
inference(avatar_split_clause,[],[f257,f1016]) ).
fof(f257,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1014,plain,
spl13_118,
inference(avatar_split_clause,[],[f233,f1012]) ).
fof(f233,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f1010,plain,
spl13_117,
inference(avatar_split_clause,[],[f232,f1008]) ).
fof(f232,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f978,plain,
spl13_116,
inference(avatar_split_clause,[],[f302,f976]) ).
fof(f302,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f974,plain,
spl13_115,
inference(avatar_split_clause,[],[f292,f972]) ).
fof(f292,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f970,plain,
spl13_114,
inference(avatar_split_clause,[],[f288,f968]) ).
fof(f288,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f966,plain,
spl13_113,
inference(avatar_split_clause,[],[f279,f964]) ).
fof(f279,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f962,plain,
( spl13_111
| ~ spl13_112
| ~ spl13_22
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f818,f778,f452,f959,f955]) ).
fof(f955,plain,
( spl13_111
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f959,plain,
( spl13_112
<=> ordered(queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f818,plain,
( ~ ordered(queue(host(sK9)))
| ordered(sK2)
| ~ spl13_22
| ~ spl13_80 ),
inference(superposition,[],[f779,f454]) ).
fof(f942,plain,
spl13_110,
inference(avatar_split_clause,[],[f189,f940]) ).
fof(f189,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( elem(m_Down(sK9),queue(host(sK6)))
& elem(m_Down(sK7),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) )
& host(sK4) = host(sK8)
& host(sK4) != host(sK6)
& s(zero) != host(sK3)
& host(sK4) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) )
& ( ( host(sK5) = host(index(elid,host(sK4)))
& wait = index(status,host(sK4)) )
| ( norm = index(status,host(sK4))
& host(sK5) = index(ldr,host(sK4)) ) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X7),queue(host(X4)))
& elem(m_Down(X5),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) = host(X6) )
& host(X2) != host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) )
=> ( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),queue(host(X4)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK4 != X4 ) ) )
& host(X6) = host(sK4) )
& host(X4) != host(sK4) )
& s(zero) != host(sK3)
& host(sK4) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) )
& ( ( host(sK5) = host(index(elid,host(sK4)))
& wait = index(status,host(sK4)) )
| ( norm = index(status,host(sK4))
& host(sK5) = index(ldr,host(sK4)) ) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),queue(host(X4)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK4 != X4 ) ) )
& host(X6) = host(sK4) )
& host(X4) != host(sK4) )
=> ( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),queue(host(sK6)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(X6) = host(sK4) )
& host(sK4) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),queue(host(sK6)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(X6) = host(sK4) )
=> ( ? [X7] :
( elem(m_Down(X7),queue(host(sK6)))
& elem(m_Down(sK7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(sK4) = host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X7] :
( elem(m_Down(X7),queue(host(sK6)))
& elem(m_Down(sK7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
=> ( elem(m_Down(sK9),queue(host(sK6)))
& elem(m_Down(sK7),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X7),queue(host(X4)))
& elem(m_Down(X5),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) = host(X6) )
& host(X2) != host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X2) != host(X23) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X2) != host(X23) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X10,X11] :
( ( host(X10) = host(X11)
& leq(X11,X10)
& ~ setIn(X10,alive) )
=> ~ setIn(X11,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X15,X16] :
( elem(m_Halt(X16),queue(host(X15)))
=> ~ leq(host(X15),host(X16)) )
& ! [X17,X18] :
( elem(m_Down(X18),queue(host(X17)))
=> host(X17) != host(X18) )
& ! [X19,X20] :
( elem(m_Down(X20),queue(host(X19)))
=> ~ setIn(X20,alive) )
& ! [X21,X22] :
( setIn(X22,alive)
=> ~ elem(m_Down(X22),queue(host(X21))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X2) = host(X23)
=> leq(X23,X1) ) )
=> ( s(zero) != host(X1)
=> ! [X24] :
( host(X2) != host(X24)
=> ! [X25,X26] :
( host(X2) = host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
=> ~ ( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f924,plain,
( spl13_109
| ~ spl13_22
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f806,f762,f452,f921]) ).
fof(f921,plain,
( spl13_109
<=> sK2 = tail(queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f806,plain,
( sK2 = tail(queue(host(sK9)))
| ~ spl13_22
| ~ spl13_76 ),
inference(superposition,[],[f763,f454]) ).
fof(f915,plain,
spl13_108,
inference(avatar_split_clause,[],[f309,f913]) ).
fof(f309,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f911,plain,
spl13_107,
inference(avatar_split_clause,[],[f306,f909]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f907,plain,
spl13_106,
inference(avatar_split_clause,[],[f301,f905]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f903,plain,
spl13_105,
inference(avatar_split_clause,[],[f281,f901]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f899,plain,
spl13_104,
inference(avatar_split_clause,[],[f272,f897]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f895,plain,
spl13_103,
inference(avatar_split_clause,[],[f270,f893]) ).
fof(f270,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f891,plain,
( spl13_102
| ~ spl13_22
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f756,f742,f452,f888]) ).
fof(f756,plain,
( elem(m_Down(sK5),queue(host(sK9)))
| ~ spl13_22
| ~ spl13_73 ),
inference(superposition,[],[f743,f454]) ).
fof(f886,plain,
spl13_101,
inference(avatar_split_clause,[],[f269,f884]) ).
fof(f269,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f882,plain,
spl13_100,
inference(avatar_split_clause,[],[f267,f880]) ).
fof(f880,plain,
( spl13_100
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f267,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f878,plain,
spl13_99,
inference(avatar_split_clause,[],[f265,f876]) ).
fof(f876,plain,
( spl13_99
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f265,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f874,plain,
spl13_98,
inference(avatar_split_clause,[],[f263,f872]) ).
fof(f872,plain,
( spl13_98
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f263,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f870,plain,
spl13_97,
inference(avatar_split_clause,[],[f261,f868]) ).
fof(f868,plain,
( spl13_97
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f261,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f866,plain,
spl13_96,
inference(avatar_split_clause,[],[f259,f864]) ).
fof(f864,plain,
( spl13_96
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f259,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f857,plain,
( spl13_95
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f498,f483,f855]) ).
fof(f498,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_26 ),
inference(equality_resolution,[],[f484]) ).
fof(f846,plain,
spl13_94,
inference(avatar_split_clause,[],[f291,f844]) ).
fof(f291,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f842,plain,
spl13_93,
inference(avatar_split_clause,[],[f287,f840]) ).
fof(f287,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f838,plain,
spl13_92,
inference(avatar_split_clause,[],[f283,f836]) ).
fof(f283,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f834,plain,
spl13_91,
inference(avatar_split_clause,[],[f278,f832]) ).
fof(f278,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f830,plain,
spl13_90,
inference(avatar_split_clause,[],[f274,f828]) ).
fof(f274,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f826,plain,
spl13_89,
inference(avatar_split_clause,[],[f254,f824]) ).
fof(f254,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f822,plain,
spl13_88,
inference(avatar_split_clause,[],[f229,f820]) ).
fof(f229,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f811,plain,
( ~ spl13_87
| ~ spl13_22
| ~ spl13_69 ),
inference(avatar_split_clause,[],[f755,f726,f452,f808]) ).
fof(f726,plain,
( spl13_69
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f755,plain,
( q_nil != queue(host(sK9))
| ~ spl13_22
| ~ spl13_69 ),
inference(superposition,[],[f727,f454]) ).
fof(f727,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f804,plain,
spl13_86,
inference(avatar_split_clause,[],[f299,f802]) ).
fof(f802,plain,
( spl13_86
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f299,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f800,plain,
spl13_85,
inference(avatar_split_clause,[],[f298,f798]) ).
fof(f798,plain,
( spl13_85
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f298,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f796,plain,
spl13_84,
inference(avatar_split_clause,[],[f297,f794]) ).
fof(f794,plain,
( spl13_84
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f297,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f792,plain,
spl13_83,
inference(avatar_split_clause,[],[f296,f790]) ).
fof(f790,plain,
( spl13_83
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f788,plain,
spl13_82,
inference(avatar_split_clause,[],[f295,f786]) ).
fof(f786,plain,
( spl13_82
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f295,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f784,plain,
spl13_81,
inference(avatar_split_clause,[],[f286,f782]) ).
fof(f286,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f780,plain,
spl13_80,
inference(avatar_split_clause,[],[f277,f778]) ).
fof(f277,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f776,plain,
spl13_79,
inference(avatar_split_clause,[],[f253,f774]) ).
fof(f253,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f772,plain,
spl13_78,
inference(avatar_split_clause,[],[f252,f770]) ).
fof(f252,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f768,plain,
spl13_77,
inference(avatar_split_clause,[],[f251,f766]) ).
fof(f251,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f764,plain,
spl13_76,
inference(avatar_split_clause,[],[f250,f762]) ).
fof(f250,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f760,plain,
spl13_75,
inference(avatar_split_clause,[],[f249,f758]) ).
fof(f249,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f754,plain,
( ~ spl13_74
| spl13_4
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f398,f388,f358,f751]) ).
fof(f751,plain,
( spl13_74
<=> s(zero) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f398,plain,
( s(zero) != host(sK9)
| spl13_4
| ~ spl13_10 ),
inference(superposition,[],[f360,f390]) ).
fof(f744,plain,
spl13_73,
inference(avatar_split_clause,[],[f324,f742]) ).
fof(f324,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f308]) ).
fof(f308,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f740,plain,
spl13_72,
inference(avatar_split_clause,[],[f323,f738]) ).
fof(f323,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f736,plain,
spl13_71,
inference(avatar_split_clause,[],[f282,f734]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f732,plain,
spl13_70,
inference(avatar_split_clause,[],[f273,f730]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f728,plain,
spl13_69,
inference(avatar_split_clause,[],[f248,f726]) ).
fof(f248,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f724,plain,
spl13_68,
inference(avatar_split_clause,[],[f247,f722]) ).
fof(f722,plain,
( spl13_68
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f247,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f720,plain,
spl13_67,
inference(avatar_split_clause,[],[f246,f718]) ).
fof(f718,plain,
( spl13_67
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f246,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f716,plain,
spl13_66,
inference(avatar_split_clause,[],[f245,f714]) ).
fof(f714,plain,
( spl13_66
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f245,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f712,plain,
spl13_65,
inference(avatar_split_clause,[],[f244,f710]) ).
fof(f710,plain,
( spl13_65
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f244,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f708,plain,
spl13_64,
inference(avatar_split_clause,[],[f243,f706]) ).
fof(f243,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f704,plain,
spl13_63,
inference(avatar_split_clause,[],[f242,f702]) ).
fof(f702,plain,
( spl13_63
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f242,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f700,plain,
spl13_62,
inference(avatar_split_clause,[],[f241,f698]) ).
fof(f698,plain,
( spl13_62
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f241,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f696,plain,
spl13_61,
inference(avatar_split_clause,[],[f240,f694]) ).
fof(f694,plain,
( spl13_61
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f240,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f692,plain,
spl13_60,
inference(avatar_split_clause,[],[f239,f690]) ).
fof(f690,plain,
( spl13_60
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f239,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f688,plain,
spl13_59,
inference(avatar_split_clause,[],[f238,f686]) ).
fof(f686,plain,
( spl13_59
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f238,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f684,plain,
spl13_58,
inference(avatar_split_clause,[],[f237,f682]) ).
fof(f682,plain,
( spl13_58
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f237,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f680,plain,
spl13_57,
inference(avatar_split_clause,[],[f228,f678]) ).
fof(f228,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f676,plain,
spl13_56,
inference(avatar_split_clause,[],[f227,f674]) ).
fof(f227,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f672,plain,
spl13_55,
inference(avatar_split_clause,[],[f226,f670]) ).
fof(f226,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f663,plain,
spl13_54,
inference(avatar_split_clause,[],[f341,f661]) ).
fof(f341,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f231,f229]) ).
fof(f231,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f659,plain,
spl13_53,
inference(avatar_split_clause,[],[f225,f657]) ).
fof(f225,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f655,plain,
spl13_52,
inference(avatar_split_clause,[],[f224,f653]) ).
fof(f224,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f651,plain,
spl13_51,
inference(avatar_split_clause,[],[f220,f648]) ).
fof(f220,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f616,plain,
( spl13_29
| spl13_50 ),
inference(avatar_split_clause,[],[f338,f613,f508]) ).
fof(f508,plain,
( spl13_29
<=> wait = index(status,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f613,plain,
( spl13_50
<=> host(sK5) = index(ldr,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f338,plain,
( host(sK5) = index(ldr,host(sK9))
| wait = index(status,host(sK9)) ),
inference(forward_demodulation,[],[f337,f327]) ).
fof(f327,plain,
host(sK4) = host(sK9),
inference(forward_demodulation,[],[f202,f209]) ).
fof(f209,plain,
host(sK8) = host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f202,plain,
host(sK4) = host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f337,plain,
( wait = index(status,host(sK9))
| host(sK5) = index(ldr,host(sK4)) ),
inference(forward_demodulation,[],[f193,f327]) ).
fof(f193,plain,
( wait = index(status,host(sK4))
| host(sK5) = index(ldr,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f610,plain,
( ~ spl13_49
| ~ spl13_20
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f477,f474,f442,f607]) ).
fof(f477,plain,
( ~ setIn(sK9,alive)
| ~ spl13_20
| ~ spl13_25 ),
inference(resolution,[],[f475,f444]) ).
fof(f444,plain,
( elem(m_Down(sK9),queue(host(sK7)))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f605,plain,
( spl13_37
| ~ spl13_29
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f604,f512,f508,f552]) ).
fof(f552,plain,
( spl13_37
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f512,plain,
( spl13_30
<=> norm = index(status,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f604,plain,
( wait = norm
| ~ spl13_29
| ~ spl13_30 ),
inference(forward_demodulation,[],[f514,f510]) ).
fof(f510,plain,
( wait = index(status,host(sK9))
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f514,plain,
( norm = index(status,host(sK9))
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f603,plain,
( spl13_48
| spl13_30 ),
inference(avatar_split_clause,[],[f332,f512,f600]) ).
fof(f332,plain,
( norm = index(status,host(sK9))
| host(sK5) = host(index(elid,host(sK9))) ),
inference(forward_demodulation,[],[f331,f327]) ).
fof(f331,plain,
( host(sK5) = host(index(elid,host(sK9)))
| norm = index(status,host(sK4)) ),
inference(forward_demodulation,[],[f196,f327]) ).
fof(f196,plain,
( host(sK5) = host(index(elid,host(sK4)))
| norm = index(status,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f598,plain,
spl13_47,
inference(avatar_split_clause,[],[f188,f596]) ).
fof(f188,plain,
! [X14,X13] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ),
inference(cnf_transformation,[],[f151]) ).
fof(f594,plain,
spl13_46,
inference(avatar_split_clause,[],[f187,f592]) ).
fof(f187,plain,
! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f590,plain,
( spl13_45
| ~ spl13_8
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f466,f447,f378,f587]) ).
fof(f466,plain,
( leq(sK4,sK3)
| ~ spl13_8
| ~ spl13_21 ),
inference(trivial_inequality_removal,[],[f461]) ).
fof(f461,plain,
( host(sK9) != host(sK9)
| leq(sK4,sK3)
| ~ spl13_8
| ~ spl13_21 ),
inference(superposition,[],[f448,f380]) ).
fof(f585,plain,
spl13_44,
inference(avatar_split_clause,[],[f313,f583]) ).
fof(f313,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f581,plain,
spl13_43,
inference(avatar_split_clause,[],[f312,f579]) ).
fof(f312,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f577,plain,
spl13_42,
inference(avatar_split_clause,[],[f223,f575]) ).
fof(f223,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f573,plain,
spl13_41,
inference(avatar_split_clause,[],[f222,f571]) ).
fof(f571,plain,
( spl13_41
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f222,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f569,plain,
( spl13_40
| ~ spl13_6
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f465,f447,f368,f566]) ).
fof(f465,plain,
( leq(sK8,sK3)
| ~ spl13_6
| ~ spl13_21 ),
inference(trivial_inequality_removal,[],[f463]) ).
fof(f463,plain,
( host(sK9) != host(sK9)
| leq(sK8,sK3)
| ~ spl13_6
| ~ spl13_21 ),
inference(superposition,[],[f448,f370]) ).
fof(f564,plain,
spl13_39,
inference(avatar_split_clause,[],[f221,f562]) ).
fof(f221,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f560,plain,
~ spl13_38,
inference(avatar_split_clause,[],[f219,f557]) ).
fof(f557,plain,
( spl13_38
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f219,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f555,plain,
~ spl13_37,
inference(avatar_split_clause,[],[f218,f552]) ).
fof(f218,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f550,plain,
~ spl13_36,
inference(avatar_split_clause,[],[f217,f547]) ).
fof(f547,plain,
( spl13_36
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f217,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f545,plain,
~ spl13_35,
inference(avatar_split_clause,[],[f216,f542]) ).
fof(f542,plain,
( spl13_35
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f216,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f540,plain,
~ spl13_34,
inference(avatar_split_clause,[],[f215,f537]) ).
fof(f537,plain,
( spl13_34
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f215,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f535,plain,
~ spl13_33,
inference(avatar_split_clause,[],[f214,f532]) ).
fof(f532,plain,
( spl13_33
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f214,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f530,plain,
~ spl13_32,
inference(avatar_split_clause,[],[f213,f527]) ).
fof(f527,plain,
( spl13_32
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f213,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
fof(f520,plain,
( spl13_31
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f464,f447,f517]) ).
fof(f464,plain,
( leq(sK9,sK3)
| ~ spl13_21 ),
inference(equality_resolution,[],[f448]) ).
fof(f515,plain,
( spl13_29
| spl13_30 ),
inference(avatar_split_clause,[],[f336,f512,f508]) ).
fof(f336,plain,
( norm = index(status,host(sK9))
| wait = index(status,host(sK9)) ),
inference(forward_demodulation,[],[f335,f327]) ).
fof(f335,plain,
( wait = index(status,host(sK9))
| norm = index(status,host(sK4)) ),
inference(forward_demodulation,[],[f194,f327]) ).
fof(f194,plain,
( wait = index(status,host(sK4))
| norm = index(status,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f506,plain,
spl13_28,
inference(avatar_split_clause,[],[f186,f504]) ).
fof(f186,plain,
! [X18,X19,X17] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f489,plain,
spl13_27,
inference(avatar_split_clause,[],[f185,f487]) ).
fof(f185,plain,
! [X21,X20] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f485,plain,
spl13_26,
inference(avatar_split_clause,[],[f184,f483]) ).
fof(f184,plain,
! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f476,plain,
spl13_25,
inference(avatar_split_clause,[],[f183,f474]) ).
fof(f183,plain,
! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f472,plain,
spl13_24,
inference(avatar_split_clause,[],[f212,f469]) ).
fof(f469,plain,
( spl13_24
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f212,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f459,plain,
( spl13_23
| ~ spl13_16
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f450,f447,f418,f457]) ).
fof(f450,plain,
( ! [X8] :
( leq(X8,sK8)
| host(X8) != host(sK9) )
| ~ spl13_16
| ~ spl13_21 ),
inference(forward_demodulation,[],[f448,f420]) ).
fof(f455,plain,
spl13_22,
inference(avatar_split_clause,[],[f340,f452]) ).
fof(f340,plain,
cons(m_Down(sK5),sK2) = queue(host(sK9)),
inference(forward_demodulation,[],[f190,f327]) ).
fof(f190,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f449,plain,
spl13_21,
inference(avatar_split_clause,[],[f330,f447]) ).
fof(f330,plain,
! [X8] :
( host(X8) != host(sK9)
| leq(X8,sK3) ),
inference(forward_demodulation,[],[f197,f327]) ).
fof(f197,plain,
! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) ),
inference(cnf_transformation,[],[f151]) ).
fof(f445,plain,
( spl13_20
| ~ spl13_5
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f435,f431,f363,f442]) ).
fof(f431,plain,
( spl13_18
<=> elem(m_Down(sK9),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f435,plain,
( elem(m_Down(sK9),queue(host(sK7)))
| ~ spl13_5
| ~ spl13_18 ),
inference(forward_demodulation,[],[f433,f365]) ).
fof(f433,plain,
( elem(m_Down(sK9),queue(host(sK6)))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f440,plain,
( ~ spl13_19
| spl13_2
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f429,f418,f348,f437]) ).
fof(f429,plain,
( ~ setIn(sK8,pids)
| spl13_2
| ~ spl13_16 ),
inference(superposition,[],[f350,f420]) ).
fof(f350,plain,
( ~ setIn(sK3,pids)
| spl13_2 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f434,plain,
spl13_18,
inference(avatar_split_clause,[],[f211,f431]) ).
fof(f211,plain,
elem(m_Down(sK9),queue(host(sK6))),
inference(cnf_transformation,[],[f151]) ).
fof(f426,plain,
( spl13_17
| spl13_16 ),
inference(avatar_split_clause,[],[f206,f418,f423]) ).
fof(f206,plain,
( sK3 = sK8
| setIn(sK8,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f421,plain,
( ~ spl13_15
| spl13_16 ),
inference(avatar_split_clause,[],[f205,f418,f414]) ).
fof(f205,plain,
( sK3 = sK8
| sK4 != sK8 ),
inference(cnf_transformation,[],[f151]) ).
fof(f412,plain,
( spl13_14
| spl13_13 ),
inference(avatar_split_clause,[],[f204,f404,f409]) ).
fof(f204,plain,
( sK3 = sK6
| setIn(sK6,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f407,plain,
( ~ spl13_12
| spl13_13 ),
inference(avatar_split_clause,[],[f203,f404,f400]) ).
fof(f203,plain,
( sK3 = sK6
| sK4 != sK6 ),
inference(cnf_transformation,[],[f151]) ).
fof(f396,plain,
~ spl13_11,
inference(avatar_split_clause,[],[f339,f393]) ).
fof(f393,plain,
( spl13_11
<=> leq(host(sK9),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f339,plain,
~ leq(host(sK9),host(sK5)),
inference(forward_demodulation,[],[f192,f327]) ).
fof(f192,plain,
~ leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f151]) ).
fof(f391,plain,
spl13_10,
inference(avatar_split_clause,[],[f329,f388]) ).
fof(f329,plain,
host(sK3) = host(sK9),
inference(forward_demodulation,[],[f199,f327]) ).
fof(f199,plain,
host(sK4) = host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f386,plain,
~ spl13_9,
inference(avatar_split_clause,[],[f328,f383]) ).
fof(f328,plain,
host(sK4) != host(sK7),
inference(forward_demodulation,[],[f201,f208]) ).
fof(f208,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f201,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f381,plain,
spl13_8,
inference(avatar_split_clause,[],[f327,f378]) ).
fof(f376,plain,
~ spl13_7,
inference(avatar_split_clause,[],[f326,f373]) ).
fof(f326,plain,
host(sK7) != host(sK9),
inference(forward_demodulation,[],[f325,f208]) ).
fof(f325,plain,
host(sK6) != host(sK9),
inference(forward_demodulation,[],[f207,f209]) ).
fof(f207,plain,
host(sK6) != host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f371,plain,
spl13_6,
inference(avatar_split_clause,[],[f209,f368]) ).
fof(f366,plain,
spl13_5,
inference(avatar_split_clause,[],[f208,f363]) ).
fof(f361,plain,
~ spl13_4,
inference(avatar_split_clause,[],[f200,f358]) ).
fof(f200,plain,
s(zero) != host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f356,plain,
spl13_3,
inference(avatar_split_clause,[],[f210,f353]) ).
fof(f210,plain,
elem(m_Down(sK7),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f351,plain,
~ spl13_2,
inference(avatar_split_clause,[],[f198,f348]) ).
fof(f198,plain,
~ setIn(sK3,pids),
inference(cnf_transformation,[],[f151]) ).
fof(f346,plain,
spl13_1,
inference(avatar_split_clause,[],[f191,f343]) ).
fof(f191,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV453+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 21:19:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (28078)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (28082)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (28081)WARNING: value z3 for option sas not known
% 0.14/0.36 % (28080)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (28081)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (28084)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (28083)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 Detected minimum model sizes of [4]
% 0.14/0.36 Detected maximum model sizes of [max]
% 0.14/0.36 % (28085)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.36 % (28079)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 TRYING [4]
% 0.20/0.38 TRYING [5]
% 0.20/0.39 Detected minimum model sizes of [4]
% 0.20/0.39 Detected maximum model sizes of [max]
% 0.20/0.39 TRYING [4]
% 0.20/0.44 TRYING [6]
% 0.20/0.53 % (28083)First to succeed.
% 1.40/0.53 TRYING [5]
% 1.40/0.53 TRYING [7]
% 1.47/0.54 % (28083)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28078"
% 1.47/0.54 % (28083)Refutation found. Thanks to Tanya!
% 1.47/0.54 % SZS status Theorem for theBenchmark
% 1.47/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.55 % (28083)------------------------------
% 1.47/0.55 % (28083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.47/0.55 % (28083)Termination reason: Refutation
% 1.47/0.55
% 1.47/0.55 % (28083)Memory used [KB]: 3421
% 1.47/0.55 % (28083)Time elapsed: 0.183 s
% 1.47/0.55 % (28083)Instructions burned: 388 (million)
% 1.47/0.55 % (28078)Success in time 0.185 s
%------------------------------------------------------------------------------