TSTP Solution File: SWV449+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 13:46:33 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 516
% Syntax : Number of formulae : 1682 ( 264 unt; 0 def)
% Number of atoms : 5678 (1127 equ)
% Maximal formula atoms : 88 ( 3 avg)
% Number of connectives : 7062 (3066 ~;3036 |; 405 &)
% ( 473 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 448 ( 446 usr; 440 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 24 con; 0-2 aty)
% Number of variables : 2229 (;2156 !; 73 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4889,plain,
$false,
inference(avatar_sat_refutation,[],[f328,f333,f338,f343,f348,f353,f358,f364,f370,f375,f380,f386,f392,f397,f402,f407,f412,f417,f422,f426,f431,f440,f444,f461,f470,f475,f484,f489,f494,f499,f504,f509,f514,f518,f522,f526,f530,f534,f538,f562,f566,f570,f574,f586,f590,f594,f598,f602,f606,f611,f615,f619,f623,f627,f631,f635,f639,f643,f647,f651,f656,f660,f669,f674,f678,f683,f687,f691,f695,f699,f703,f707,f711,f715,f719,f723,f727,f731,f735,f747,f754,f758,f762,f766,f770,f774,f778,f795,f802,f806,f810,f814,f818,f822,f826,f830,f834,f838,f842,f846,f850,f854,f858,f862,f866,f870,f874,f878,f891,f913,f926,f930,f934,f938,f966,f970,f974,f978,f982,f986,f990,f994,f1032,f1036,f1040,f1044,f1048,f1084,f1088,f1092,f1096,f1102,f1115,f1119,f1139,f1143,f1152,f1156,f1202,f1210,f1218,f1226,f1234,f1238,f1242,f1246,f1250,f1255,f1262,f1266,f1270,f1274,f1297,f1317,f1321,f1325,f1329,f1335,f1339,f1359,f1363,f1376,f1389,f1402,f1413,f1425,f1437,f1442,f1452,f1460,f1464,f1468,f1472,f1476,f1480,f1484,f1489,f1493,f1565,f1570,f1574,f1578,f1596,f1600,f1604,f1612,f1616,f1620,f1624,f1655,f1659,f1668,f1675,f1679,f1683,f1687,f1725,f1741,f1757,f1761,f1766,f1771,f1775,f1827,f1845,f1849,f1854,f1858,f1862,f1866,f1870,f1874,f1878,f1882,f1954,f1958,f1962,f1966,f1971,f1975,f1979,f1983,f1987,f1991,f2065,f2069,f2073,f2108,f2112,f2116,f2120,f2163,f2167,f2171,f2219,f2223,f2249,f2253,f2257,f2261,f2266,f2332,f2336,f2342,f2346,f2352,f2356,f2360,f2364,f2368,f2372,f2389,f2402,f2421,f2428,f2439,f2446,f2461,f2468,f2472,f2476,f2481,f2489,f2497,f2501,f2509,f2521,f2526,f2530,f2534,f2538,f2546,f2550,f2554,f2563,f2567,f2588,f2620,f2633,f2639,f2643,f2648,f2652,f2656,f2660,f2704,f2711,f2719,f2723,f2731,f2736,f2780,f2791,f2798,f2802,f2808,f2839,f2844,f2849,f2863,f2869,f2874,f2881,f2887,f2900,f2904,f2914,f2922,f2926,f2942,f2956,f2960,f2964,f3016,f3030,f3034,f3038,f3046,f3071,f3080,f3084,f3088,f3092,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3254,f3258,f3264,f3269,f3283,f3291,f3309,f3314,f3318,f3322,f3326,f3331,f3335,f3339,f3343,f3347,f3466,f3504,f3509,f3513,f3535,f3539,f3543,f3551,f3555,f3559,f3563,f3567,f3689,f3735,f3739,f3743,f3747,f3751,f3755,f3759,f3763,f3926,f3930,f3934,f3938,f3942,f3946,f3950,f3954,f3958,f3962,f3966,f3970,f3974,f3978,f4258,f4393,f4397,f4401,f4405,f4409,f4413,f4417,f4421,f4425,f4429,f4433,f4437,f4471,f4478,f4619,f4625,f4637,f4683,f4688,f4692,f4696,f4700,f4704,f4708,f4712,f4716,f4720,f4724,f4728,f4733,f4737,f4741,f4745,f4749,f4753,f4757,f4825,f4832,f4837,f4861,f4867,f4871,f4888]) ).
fof(f4888,plain,
~ spl14_439,
inference(avatar_contradiction_clause,[],[f4887]) ).
fof(f4887,plain,
( $false
| ~ spl14_439 ),
inference(equality_resolution,[],[f4870]) ).
fof(f4870,plain,
( ! [X4] : m_Ldr(X4) != m_Ldr(sK7)
| ~ spl14_439 ),
inference(avatar_component_clause,[],[f4869]) ).
fof(f4869,plain,
( spl14_439
<=> ! [X4] : m_Ldr(X4) != m_Ldr(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_439])]) ).
fof(f4871,plain,
( spl14_439
| ~ spl14_58
| ~ spl14_436 ),
inference(avatar_split_clause,[],[f4846,f4834,f637,f4869]) ).
fof(f637,plain,
( spl14_58
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f4834,plain,
( spl14_436
<=> m_Down(sK10) = m_Ldr(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_436])]) ).
fof(f4846,plain,
( ! [X4] : m_Ldr(X4) != m_Ldr(sK7)
| ~ spl14_58
| ~ spl14_436 ),
inference(superposition,[],[f638,f4836]) ).
fof(f4836,plain,
( m_Down(sK10) = m_Ldr(sK7)
| ~ spl14_436 ),
inference(avatar_component_clause,[],[f4834]) ).
fof(f638,plain,
( ! [X0,X1] : m_Down(X0) != m_Ldr(X1)
| ~ spl14_58 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4867,plain,
( spl14_438
| ~ spl14_46
| ~ spl14_436 ),
inference(avatar_split_clause,[],[f4842,f4834,f588,f4864]) ).
fof(f4864,plain,
( spl14_438
<=> sK10 = pidMsg(m_Ldr(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_438])]) ).
fof(f588,plain,
( spl14_46
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f4842,plain,
( sK10 = pidMsg(m_Ldr(sK7))
| ~ spl14_46
| ~ spl14_436 ),
inference(superposition,[],[f589,f4836]) ).
fof(f589,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f4861,plain,
( spl14_437
| ~ spl14_162
| ~ spl14_436 ),
inference(avatar_split_clause,[],[f4850,f4834,f1319,f4858]) ).
fof(f4858,plain,
( spl14_437
<=> pidElem(m_Ldr(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_437])]) ).
fof(f1319,plain,
( spl14_162
<=> ! [X0] : pidElem(m_Down(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_162])]) ).
fof(f4850,plain,
( pidElem(m_Ldr(sK7))
| ~ spl14_162
| ~ spl14_436 ),
inference(superposition,[],[f1320,f4836]) ).
fof(f1320,plain,
( ! [X0] : pidElem(m_Down(X0))
| ~ spl14_162 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f4837,plain,
( spl14_436
| ~ spl14_142
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f4826,f2443,f1199,f4834]) ).
fof(f1199,plain,
( spl14_142
<=> m_Ldr(sK4) = m_Down(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
fof(f2443,plain,
( spl14_267
<=> sK4 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_267])]) ).
fof(f4826,plain,
( m_Down(sK10) = m_Ldr(sK7)
| ~ spl14_142
| ~ spl14_267 ),
inference(forward_demodulation,[],[f1201,f2445]) ).
fof(f2445,plain,
( sK4 = sK7
| ~ spl14_267 ),
inference(avatar_component_clause,[],[f2443]) ).
fof(f1201,plain,
( m_Ldr(sK4) = m_Down(sK10)
| ~ spl14_142 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f4832,plain,
( ~ spl14_435
| spl14_141
| ~ spl14_142
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f4827,f2443,f1199,f1195,f4829]) ).
fof(f4829,plain,
( spl14_435
<=> elem(m_Ldr(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_435])]) ).
fof(f1195,plain,
( spl14_141
<=> elem(m_Down(sK10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
fof(f4827,plain,
( ~ elem(m_Ldr(sK7),sK2)
| spl14_141
| ~ spl14_142
| ~ spl14_267 ),
inference(forward_demodulation,[],[f1196,f4826]) ).
fof(f1196,plain,
( ~ elem(m_Down(sK10),sK2)
| spl14_141 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f4825,plain,
( ~ spl14_141
| ~ spl14_138
| spl14_417 ),
inference(avatar_split_clause,[],[f4729,f4685,f1141,f1195]) ).
fof(f1141,plain,
( spl14_138
<=> ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
fof(f4685,plain,
( spl14_417
<=> elem(m_Down(sK10),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_417])]) ).
fof(f4729,plain,
( ~ elem(m_Down(sK10),sK2)
| ~ spl14_138
| spl14_417 ),
inference(resolution,[],[f4687,f1142]) ).
fof(f1142,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl14_138 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f4687,plain,
( ~ elem(m_Down(sK10),queue(host(sK8)))
| spl14_417 ),
inference(avatar_component_clause,[],[f4685]) ).
fof(f4757,plain,
( spl14_434
| ~ spl14_108
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2236,f2221,f868,f4755]) ).
fof(f4755,plain,
( spl14_434
<=> ! [X5,X4,X7,X6] :
( X4 = X5
| elem(X5,cons(X6,X7))
| ~ elem(X5,snoc(X7,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_434])]) ).
fof(f868,plain,
( spl14_108
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f2221,plain,
( spl14_245
<=> ! [X5,X4,X7,X6] :
( ~ elem(X7,cons(X4,snoc(X5,X6)))
| X6 = X7
| elem(X7,cons(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_245])]) ).
fof(f2236,plain,
( ! [X6,X7,X4,X5] :
( X4 = X5
| elem(X5,cons(X6,X7))
| ~ elem(X5,snoc(X7,X4)) )
| ~ spl14_108
| ~ spl14_245 ),
inference(resolution,[],[f2222,f869]) ).
fof(f869,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f2222,plain,
( ! [X6,X7,X4,X5] :
( ~ elem(X7,cons(X4,snoc(X5,X6)))
| X6 = X7
| elem(X7,cons(X4,X5)) )
| ~ spl14_245 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f4753,plain,
( spl14_433
| ~ spl14_73
| ~ spl14_244 ),
inference(avatar_split_clause,[],[f2227,f2217,f705,f4751]) ).
fof(f4751,plain,
( spl14_433
<=> ! [X9,X11,X10] :
( ~ sP1(X9,cons(X10,X11))
| ~ ordered(cons(X10,X11))
| ordered(snoc(X11,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_433])]) ).
fof(f705,plain,
( spl14_73
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f2217,plain,
( spl14_244
<=> ! [X20,X21,X19] :
( ordered(cons(X19,snoc(X20,X21)))
| ~ sP1(X21,cons(X19,X20))
| ~ ordered(cons(X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_244])]) ).
fof(f2227,plain,
( ! [X10,X11,X9] :
( ~ sP1(X9,cons(X10,X11))
| ~ ordered(cons(X10,X11))
| ordered(snoc(X11,X9)) )
| ~ spl14_73
| ~ spl14_244 ),
inference(resolution,[],[f2218,f706]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f2218,plain,
( ! [X21,X19,X20] :
( ordered(cons(X19,snoc(X20,X21)))
| ~ sP1(X21,cons(X19,X20))
| ~ ordered(cons(X19,X20)) )
| ~ spl14_244 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f4749,plain,
( spl14_432
| ~ spl14_223
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2178,f2161,f1880,f4747]) ).
fof(f4747,plain,
( spl14_432
<=> ! [X6,X5] :
( ~ ordered(snoc(X5,X6))
| ordered(cons(head(X5),tail(X5)))
| q_nil = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_432])]) ).
fof(f1880,plain,
( spl14_223
<=> ! [X9,X11,X10] :
( ~ ordered(cons(X9,snoc(X10,X11)))
| ordered(cons(X9,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_223])]) ).
fof(f2161,plain,
( spl14_241
<=> ! [X2,X1] :
( snoc(X1,X2) = cons(head(X1),snoc(tail(X1),X2))
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_241])]) ).
fof(f2178,plain,
( ! [X6,X5] :
( ~ ordered(snoc(X5,X6))
| ordered(cons(head(X5),tail(X5)))
| q_nil = X5 )
| ~ spl14_223
| ~ spl14_241 ),
inference(superposition,[],[f1881,f2162]) ).
fof(f2162,plain,
( ! [X2,X1] :
( snoc(X1,X2) = cons(head(X1),snoc(tail(X1),X2))
| q_nil = X1 )
| ~ spl14_241 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f1881,plain,
( ! [X10,X11,X9] :
( ~ ordered(cons(X9,snoc(X10,X11)))
| ordered(cons(X9,X10)) )
| ~ spl14_223 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f4745,plain,
( spl14_431
| ~ spl14_128
| ~ spl14_235 ),
inference(avatar_split_clause,[],[f2090,f2067,f1042,f4743]) ).
fof(f4743,plain,
( spl14_431
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_431])]) ).
fof(f1042,plain,
( spl14_128
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
fof(f2067,plain,
( spl14_235
<=> ! [X18,X17,X16,X15] :
( elem(X18,cons(X15,snoc(X16,X17)))
| ~ elem(X18,cons(X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_235])]) ).
fof(f2090,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl14_128
| ~ spl14_235 ),
inference(resolution,[],[f2068,f1043]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_128 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2068,plain,
( ! [X18,X16,X17,X15] :
( elem(X18,cons(X15,snoc(X16,X17)))
| ~ elem(X18,cons(X15,X16)) )
| ~ spl14_235 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f4741,plain,
( spl14_430
| ~ spl14_103
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2075,f2063,f848,f4739]) ).
fof(f4739,plain,
( spl14_430
<=> ! [X2,X1] :
( s(X2) = s(s(X1))
| ~ leq(X2,s(X1))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_430])]) ).
fof(f848,plain,
( spl14_103
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
fof(f2063,plain,
( spl14_234
<=> ! [X8,X7] :
( s(X7) = s(X8)
| leq(s(X8),X7)
| ~ leq(X8,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_234])]) ).
fof(f2075,plain,
( ! [X2,X1] :
( s(X2) = s(s(X1))
| ~ leq(X2,s(X1))
| leq(X2,X1) )
| ~ spl14_103
| ~ spl14_234 ),
inference(resolution,[],[f2064,f849]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl14_103 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2064,plain,
( ! [X8,X7] :
( leq(s(X8),X7)
| s(X7) = s(X8)
| ~ leq(X8,X7) )
| ~ spl14_234 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f4737,plain,
( spl14_429
| ~ spl14_126
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2045,f1981,f1034,f4735]) ).
fof(f4735,plain,
( spl14_429
<=> ! [X25,X24] :
( leq(s(X24),X25)
| s(X25) = s(X24)
| leq(s(X25),X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_429])]) ).
fof(f1034,plain,
( spl14_126
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
fof(f1981,plain,
( spl14_231
<=> ! [X4,X3] :
( s(X3) = X4
| leq(X4,X3)
| leq(s(X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_231])]) ).
fof(f2045,plain,
( ! [X24,X25] :
( leq(s(X24),X25)
| s(X25) = s(X24)
| leq(s(X25),X24) )
| ~ spl14_126
| ~ spl14_231 ),
inference(duplicate_literal_removal,[],[f2040]) ).
fof(f2040,plain,
( ! [X24,X25] :
( leq(s(X24),X25)
| s(X25) = s(X24)
| s(X25) = s(X24)
| leq(s(X25),X24) )
| ~ spl14_126
| ~ spl14_231 ),
inference(resolution,[],[f1982,f1035]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl14_126 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1982,plain,
( ! [X3,X4] :
( leq(s(X3),X4)
| leq(X4,X3)
| s(X3) = X4 )
| ~ spl14_231 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f4733,plain,
( spl14_428
| ~ spl14_197
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2042,f1981,f1622,f4731]) ).
fof(f4731,plain,
( spl14_428
<=> ! [X28] :
( leq(s(zero),X28)
| s(zero) = s(X28)
| leq(s(X28),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_428])]) ).
fof(f1622,plain,
( spl14_197
<=> ! [X13] :
( leq(X13,nbr_proc)
| ~ leq(X13,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_197])]) ).
fof(f2042,plain,
( ! [X28] :
( leq(s(zero),X28)
| s(zero) = s(X28)
| leq(s(X28),nbr_proc) )
| ~ spl14_197
| ~ spl14_231 ),
inference(resolution,[],[f1982,f1623]) ).
fof(f1623,plain,
( ! [X13] :
( ~ leq(X13,s(zero))
| leq(X13,nbr_proc) )
| ~ spl14_197 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f4728,plain,
( spl14_427
| ~ spl14_196
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2038,f1981,f1618,f4726]) ).
fof(f4726,plain,
( spl14_427
<=> ! [X20,X19] :
( leq(host(X19),X20)
| host(X19) = s(X20)
| leq(s(X20),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_427])]) ).
fof(f1618,plain,
( spl14_196
<=> ! [X12,X11] :
( leq(X11,nbr_proc)
| ~ leq(X11,host(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
fof(f2038,plain,
( ! [X19,X20] :
( leq(host(X19),X20)
| host(X19) = s(X20)
| leq(s(X20),nbr_proc) )
| ~ spl14_196
| ~ spl14_231 ),
inference(resolution,[],[f1982,f1619]) ).
fof(f1619,plain,
( ! [X11,X12] :
( ~ leq(X11,host(X12))
| leq(X11,nbr_proc) )
| ~ spl14_196 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f4724,plain,
( spl14_426
| ~ spl14_88
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2026,f1977,f776,f4722]) ).
fof(f4722,plain,
( spl14_426
<=> ! [X6,X5] :
( sP1(m_Down(s(X5)),X6)
| ~ leq(pidMsg(sK13(m_Down(s(X5)),X6)),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_426])]) ).
fof(f776,plain,
( spl14_88
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f1977,plain,
( spl14_230
<=> ! [X2,X3] :
( ~ leq(pidMsg(sK13(m_Down(X2),X3)),X2)
| sP1(m_Down(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).
fof(f2026,plain,
( ! [X6,X5] :
( sP1(m_Down(s(X5)),X6)
| ~ leq(pidMsg(sK13(m_Down(s(X5)),X6)),X5) )
| ~ spl14_88
| ~ spl14_230 ),
inference(resolution,[],[f1978,f777]) ).
fof(f777,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl14_88 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1978,plain,
( ! [X2,X3] :
( ~ leq(pidMsg(sK13(m_Down(X2),X3)),X2)
| sP1(m_Down(X2),X3) )
| ~ spl14_230 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f4720,plain,
( spl14_425
| ~ spl14_88
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2018,f1973,f776,f4718]) ).
fof(f4718,plain,
( spl14_425
<=> ! [X6,X5] :
( sP1(m_Halt(s(X5)),X6)
| ~ leq(pidMsg(sK13(m_Halt(s(X5)),X6)),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_425])]) ).
fof(f1973,plain,
( spl14_229
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).
fof(f2018,plain,
( ! [X6,X5] :
( sP1(m_Halt(s(X5)),X6)
| ~ leq(pidMsg(sK13(m_Halt(s(X5)),X6)),X5) )
| ~ spl14_88
| ~ spl14_229 ),
inference(resolution,[],[f1974,f777]) ).
fof(f1974,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl14_229 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f4716,plain,
( spl14_424
| ~ spl14_88
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2000,f1952,f776,f4714]) ).
fof(f4714,plain,
( spl14_424
<=> ! [X11,X12] :
( s(X11) = s(X12)
| ~ leq(s(X12),X11)
| ~ leq(s(X11),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_424])]) ).
fof(f1952,plain,
( spl14_224
<=> ! [X6,X5] :
( s(X5) = X6
| ~ leq(s(X5),X6)
| ~ leq(X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_224])]) ).
fof(f2000,plain,
( ! [X11,X12] :
( s(X11) = s(X12)
| ~ leq(s(X12),X11)
| ~ leq(s(X11),X12) )
| ~ spl14_88
| ~ spl14_224 ),
inference(resolution,[],[f1953,f777]) ).
fof(f1953,plain,
( ! [X6,X5] :
( ~ leq(s(X5),X6)
| s(X5) = X6
| ~ leq(X6,X5) )
| ~ spl14_224 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f4712,plain,
( spl14_423
| ~ spl14_113
| ~ spl14_223 ),
inference(avatar_split_clause,[],[f1945,f1880,f924,f4710]) ).
fof(f4710,plain,
( spl14_423
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_423])]) ).
fof(f924,plain,
( spl14_113
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
fof(f1945,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl14_113
| ~ spl14_223 ),
inference(resolution,[],[f1881,f925]) ).
fof(f925,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f4708,plain,
( spl14_422
| ~ spl14_116
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1930,f1872,f936,f4706]) ).
fof(f4706,plain,
( spl14_422
<=> ! [X6,X7,X8] :
( sP1(X6,X7)
| leq(X8,pidMsg(sK13(X6,X7)))
| ~ leq(X8,pidMsg(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_422])]) ).
fof(f936,plain,
( spl14_116
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f1872,plain,
( spl14_221
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_221])]) ).
fof(f1930,plain,
( ! [X8,X6,X7] :
( sP1(X6,X7)
| leq(X8,pidMsg(sK13(X6,X7)))
| ~ leq(X8,pidMsg(X6)) )
| ~ spl14_116
| ~ spl14_221 ),
inference(resolution,[],[f1873,f937]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl14_116 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1873,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK13(X0,X1)))
| sP1(X0,X1) )
| ~ spl14_221 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f4704,plain,
( spl14_421
| ~ spl14_213
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1929,f1872,f1825,f4702]) ).
fof(f4702,plain,
( spl14_421
<=> ! [X4,X5,X3] :
( sP1(X3,X4)
| leq(pidMsg(X3),X5)
| leq(X5,pidMsg(sK13(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_421])]) ).
fof(f1825,plain,
( spl14_213
<=> ! [X2,X4,X3] :
( leq(X2,X3)
| ~ leq(X2,X4)
| leq(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_213])]) ).
fof(f1929,plain,
( ! [X3,X4,X5] :
( sP1(X3,X4)
| leq(pidMsg(X3),X5)
| leq(X5,pidMsg(sK13(X3,X4))) )
| ~ spl14_213
| ~ spl14_221 ),
inference(resolution,[],[f1873,f1826]) ).
fof(f1826,plain,
( ! [X2,X3,X4] :
( ~ leq(X2,X4)
| leq(X2,X3)
| leq(X3,X4) )
| ~ spl14_213 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f4700,plain,
( spl14_420
| ~ spl14_105
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1925,f1868,f856,f4698]) ).
fof(f4698,plain,
( spl14_420
<=> ! [X2,X3] :
( elem(sK13(X2,init(X3)),X3)
| q_nil = X3
| sP1(X2,init(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_420])]) ).
fof(f856,plain,
( spl14_105
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f1868,plain,
( spl14_220
<=> ! [X6,X5] :
( elem(X6,X5)
| ~ elem(X6,init(X5))
| q_nil = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_220])]) ).
fof(f1925,plain,
( ! [X2,X3] :
( elem(sK13(X2,init(X3)),X3)
| q_nil = X3
| sP1(X2,init(X3)) )
| ~ spl14_105
| ~ spl14_220 ),
inference(resolution,[],[f1869,f857]) ).
fof(f857,plain,
( ! [X0,X1] :
( elem(sK13(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1869,plain,
( ! [X6,X5] :
( ~ elem(X6,init(X5))
| elem(X6,X5)
| q_nil = X5 )
| ~ spl14_220 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f4696,plain,
( spl14_419
| ~ spl14_104
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1924,f1868,f852,f4694]) ).
fof(f4694,plain,
( spl14_419
<=> ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_419])]) ).
fof(f852,plain,
( spl14_104
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
fof(f1924,plain,
( ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl14_104
| ~ spl14_220 ),
inference(resolution,[],[f1869,f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl14_104 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f4692,plain,
( spl14_418
| ~ spl14_105
| ~ spl14_218 ),
inference(avatar_split_clause,[],[f1912,f1860,f856,f4690]) ).
fof(f4690,plain,
( spl14_418
<=> ! [X2,X3] :
( elem(sK13(X2,tail(X3)),X3)
| q_nil = X3
| sP1(X2,tail(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_418])]) ).
fof(f1860,plain,
( spl14_218
<=> ! [X6,X5] :
( elem(X6,X5)
| ~ elem(X6,tail(X5))
| q_nil = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_218])]) ).
fof(f1912,plain,
( ! [X2,X3] :
( elem(sK13(X2,tail(X3)),X3)
| q_nil = X3
| sP1(X2,tail(X3)) )
| ~ spl14_105
| ~ spl14_218 ),
inference(resolution,[],[f1861,f857]) ).
fof(f1861,plain,
( ! [X6,X5] :
( ~ elem(X6,tail(X5))
| elem(X6,X5)
| q_nil = X5 )
| ~ spl14_218 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f4688,plain,
( ~ spl14_417
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f4631,f3289,f4685]) ).
fof(f3289,plain,
( spl14_353
<=> ! [X5] :
( host(X5) != host(sK10)
| ~ elem(m_Down(X5),queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_353])]) ).
fof(f4631,plain,
( ~ elem(m_Down(sK10),queue(host(sK8)))
| ~ spl14_353 ),
inference(equality_resolution,[],[f3290]) ).
fof(f3290,plain,
( ! [X5] :
( host(X5) != host(sK10)
| ~ elem(m_Down(X5),queue(host(sK8))) )
| ~ spl14_353 ),
inference(avatar_component_clause,[],[f3289]) ).
fof(f4683,plain,
( spl14_416
| ~ spl14_104
| ~ spl14_218 ),
inference(avatar_split_clause,[],[f1911,f1860,f852,f4681]) ).
fof(f4681,plain,
( spl14_416
<=> ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_416])]) ).
fof(f1911,plain,
( ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl14_104
| ~ spl14_218 ),
inference(resolution,[],[f1861,f853]) ).
fof(f4637,plain,
( ~ spl14_415
| spl14_355
| ~ spl14_10
| ~ spl14_207 ),
inference(avatar_split_clause,[],[f1749,f1739,f372,f3307,f4634]) ).
fof(f4634,plain,
( spl14_415
<=> elem(m_Down(sK6),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_415])]) ).
fof(f3307,plain,
( spl14_355
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_355])]) ).
fof(f372,plain,
( spl14_10
<=> host(sK6) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f1739,plain,
( spl14_207
<=> ! [X9,X11,X10] :
( host(X9) != host(sK10)
| host(X10) = host(sK10)
| ~ setIn(X10,alive)
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(sK10)))
| ~ elem(m_Down(X9),queue(host(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_207])]) ).
fof(f1749,plain,
( ! [X4,X5] :
( host(X4) != host(sK8)
| host(X4) = host(sK10)
| ~ setIn(X4,alive)
| host(X5) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(sK10)))
| ~ elem(m_Down(X5),queue(host(X4))) )
| ~ spl14_10
| ~ spl14_207 ),
inference(superposition,[],[f1740,f374]) ).
fof(f374,plain,
( host(sK6) = host(sK8)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f1740,plain,
( ! [X10,X11,X9] :
( host(X10) != host(X11)
| host(X10) = host(sK10)
| ~ setIn(X10,alive)
| host(X9) != host(sK10)
| ~ elem(m_Down(X11),queue(host(sK10)))
| ~ elem(m_Down(X9),queue(host(X10))) )
| ~ spl14_207 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f4625,plain,
( ~ spl14_414
| ~ spl14_267
| spl14_354 ),
inference(avatar_split_clause,[],[f3310,f3303,f2443,f4622]) ).
fof(f4622,plain,
( spl14_414
<=> elem(m_Down(sK7),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_414])]) ).
fof(f3303,plain,
( spl14_354
<=> elem(m_Down(sK4),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_354])]) ).
fof(f3310,plain,
( ~ elem(m_Down(sK7),queue(host(sK10)))
| ~ spl14_267
| spl14_354 ),
inference(forward_demodulation,[],[f3305,f2445]) ).
fof(f3305,plain,
( ~ elem(m_Down(sK4),queue(host(sK10)))
| spl14_354 ),
inference(avatar_component_clause,[],[f3303]) ).
fof(f4619,plain,
( ~ spl14_16
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3297,f3286,f404]) ).
fof(f404,plain,
( spl14_16
<=> elem(m_Down(sK8),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f3286,plain,
( spl14_352
<=> ! [X6] :
( host(X6) != host(sK8)
| ~ elem(m_Down(X6),queue(host(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_352])]) ).
fof(f3297,plain,
( ~ elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_352 ),
inference(equality_resolution,[],[f3287]) ).
fof(f3287,plain,
( ! [X6] :
( host(X6) != host(sK8)
| ~ elem(m_Down(X6),queue(host(sK10))) )
| ~ spl14_352 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f4478,plain,
( spl14_268
| spl14_310
| ~ spl14_183 ),
inference(avatar_split_clause,[],[f1542,f1478,f2806,f2458]) ).
fof(f2458,plain,
( spl14_268
<=> leq(sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_268])]) ).
fof(f2806,plain,
( spl14_310
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK6),X0))
| ~ elem(m_Down(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_310])]) ).
fof(f1478,plain,
( spl14_183
<=> ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(X2),X3)
| leq(sK6,X2)
| ~ ordered(cons(m_Halt(sK6),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f1542,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK6,sK8)
| ~ ordered(cons(m_Halt(sK6),X0)) )
| ~ spl14_183 ),
inference(equality_resolution,[],[f1479]) ).
fof(f1479,plain,
( ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(X2),X3)
| leq(sK6,X2)
| ~ ordered(cons(m_Halt(sK6),X3)) )
| ~ spl14_183 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f4471,plain,
( spl14_413
| ~ spl14_213
| ~ spl14_268 ),
inference(avatar_split_clause,[],[f2846,f2458,f1825,f4469]) ).
fof(f4469,plain,
( spl14_413
<=> ! [X1] :
( leq(sK6,X1)
| leq(X1,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_413])]) ).
fof(f2846,plain,
( ! [X1] :
( leq(sK6,X1)
| leq(X1,sK8) )
| ~ spl14_213
| ~ spl14_268 ),
inference(resolution,[],[f2459,f1826]) ).
fof(f2459,plain,
( leq(sK6,sK8)
| ~ spl14_268 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f4437,plain,
( spl14_412
| ~ spl14_35
| ~ spl14_247 ),
inference(avatar_split_clause,[],[f2284,f2251,f516,f4435]) ).
fof(f4435,plain,
( spl14_412
<=> ! [X22,X21] :
( sK13(X21,cons(X22,q_nil)) = X22
| sP1(X21,cons(X22,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_412])]) ).
fof(f516,plain,
( spl14_35
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f2251,plain,
( spl14_247
<=> ! [X6,X7,X8] :
( sK13(X6,cons(X7,X8)) = X7
| elem(sK13(X6,cons(X7,X8)),X8)
| sP1(X6,cons(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_247])]) ).
fof(f2284,plain,
( ! [X21,X22] :
( sK13(X21,cons(X22,q_nil)) = X22
| sP1(X21,cons(X22,q_nil)) )
| ~ spl14_35
| ~ spl14_247 ),
inference(resolution,[],[f2252,f517]) ).
fof(f517,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f2252,plain,
( ! [X8,X6,X7] :
( elem(sK13(X6,cons(X7,X8)),X8)
| sK13(X6,cons(X7,X8)) = X7
| sP1(X6,cons(X7,X8)) )
| ~ spl14_247 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f4433,plain,
( spl14_411
| ~ spl14_35
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2273,f2247,f516,f4431]) ).
fof(f4431,plain,
( spl14_411
<=> ! [X22,X21] :
( sK12(X21,cons(X22,q_nil)) = X22
| sP0(X21,cons(X22,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_411])]) ).
fof(f2247,plain,
( spl14_246
<=> ! [X4,X5,X3] :
( sK12(X3,cons(X4,X5)) = X4
| elem(sK12(X3,cons(X4,X5)),X5)
| sP0(X3,cons(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_246])]) ).
fof(f2273,plain,
( ! [X21,X22] :
( sK12(X21,cons(X22,q_nil)) = X22
| sP0(X21,cons(X22,q_nil)) )
| ~ spl14_35
| ~ spl14_246 ),
inference(resolution,[],[f2248,f517]) ).
fof(f2248,plain,
( ! [X3,X4,X5] :
( elem(sK12(X3,cons(X4,X5)),X5)
| sK12(X3,cons(X4,X5)) = X4
| sP0(X3,cons(X4,X5)) )
| ~ spl14_246 ),
inference(avatar_component_clause,[],[f2247]) ).
fof(f4429,plain,
( spl14_410
| ~ spl14_73
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2186,f2161,f705,f4427]) ).
fof(f4427,plain,
( spl14_410
<=> ! [X22,X23] :
( ~ ordered(snoc(X22,X23))
| ordered(snoc(tail(X22),X23))
| q_nil = X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_410])]) ).
fof(f2186,plain,
( ! [X22,X23] :
( ~ ordered(snoc(X22,X23))
| ordered(snoc(tail(X22),X23))
| q_nil = X22 )
| ~ spl14_73
| ~ spl14_241 ),
inference(superposition,[],[f706,f2162]) ).
fof(f4425,plain,
( spl14_409
| ~ spl14_69
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2185,f2161,f689,f4423]) ).
fof(f4423,plain,
( spl14_409
<=> ! [X20,X21] :
( snoc(tail(X20),X21) = tail(snoc(X20,X21))
| q_nil = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_409])]) ).
fof(f689,plain,
( spl14_69
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f2185,plain,
( ! [X21,X20] :
( snoc(tail(X20),X21) = tail(snoc(X20,X21))
| q_nil = X20 )
| ~ spl14_69
| ~ spl14_241 ),
inference(superposition,[],[f690,f2162]) ).
fof(f690,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f4421,plain,
( spl14_408
| ~ spl14_82
| ~ spl14_236 ),
inference(avatar_split_clause,[],[f2100,f2071,f752,f4419]) ).
fof(f4419,plain,
( spl14_408
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_408])]) ).
fof(f752,plain,
( spl14_82
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f2071,plain,
( spl14_236
<=> ! [X28,X27,X25,X26] :
( ordered(cons(X25,snoc(X26,m_Ack(X27,X28))))
| ~ ordered(cons(X25,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_236])]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl14_82
| ~ spl14_236 ),
inference(superposition,[],[f2072,f753]) ).
fof(f753,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl14_82 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f2072,plain,
( ! [X28,X26,X27,X25] :
( ordered(cons(X25,snoc(X26,m_Ack(X27,X28))))
| ~ ordered(cons(X25,X26)) )
| ~ spl14_236 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f4417,plain,
( spl14_407
| ~ spl14_82
| ~ spl14_235 ),
inference(avatar_split_clause,[],[f2091,f2067,f752,f4415]) ).
fof(f4415,plain,
( spl14_407
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_407])]) ).
fof(f2091,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl14_82
| ~ spl14_235 ),
inference(superposition,[],[f2068,f753]) ).
fof(f4413,plain,
( spl14_406
| ~ spl14_102
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f1995,f1952,f844,f4411]) ).
fof(f4411,plain,
( spl14_406
<=> ! [X4,X3] :
( s(X4) = s(X3)
| ~ leq(s(X4),X3)
| ~ leq(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_406])]) ).
fof(f844,plain,
( spl14_102
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
fof(f1995,plain,
( ! [X3,X4] :
( s(X4) = s(X3)
| ~ leq(s(X4),X3)
| ~ leq(X3,X4) )
| ~ spl14_102
| ~ spl14_224 ),
inference(resolution,[],[f1953,f845]) ).
fof(f845,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl14_102 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f4409,plain,
( spl14_405
| ~ spl14_118
| ~ spl14_223 ),
inference(avatar_split_clause,[],[f1947,f1880,f968,f4407]) ).
fof(f4407,plain,
( spl14_405
<=> ! [X2,X3] :
( ~ ordered(cons(X3,X2))
| ordered(cons(X3,init(X2)))
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_405])]) ).
fof(f968,plain,
( spl14_118
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
fof(f1947,plain,
( ! [X2,X3] :
( ~ ordered(cons(X3,X2))
| ordered(cons(X3,init(X2)))
| q_nil = X2 )
| ~ spl14_118
| ~ spl14_223 ),
inference(superposition,[],[f1881,f969]) ).
fof(f969,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl14_118 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f4405,plain,
( spl14_404
| ~ spl14_118
| ~ spl14_222 ),
inference(avatar_split_clause,[],[f1935,f1876,f968,f4403]) ).
fof(f4403,plain,
( spl14_404
<=> ! [X2,X3] :
( cons(X3,init(X2)) = init(cons(X3,X2))
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_404])]) ).
fof(f1876,plain,
( spl14_222
<=> ! [X6,X8,X7] : cons(X6,X7) = init(cons(X6,snoc(X7,X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_222])]) ).
fof(f1935,plain,
( ! [X2,X3] :
( cons(X3,init(X2)) = init(cons(X3,X2))
| q_nil = X2 )
| ~ spl14_118
| ~ spl14_222 ),
inference(superposition,[],[f1877,f969]) ).
fof(f1877,plain,
( ! [X8,X6,X7] : cons(X6,X7) = init(cons(X6,snoc(X7,X8)))
| ~ spl14_222 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f4401,plain,
( spl14_403
| ~ spl14_102
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1901,f1847,f844,f4399]) ).
fof(f4399,plain,
( spl14_403
<=> ! [X25,X24,X23] :
( ~ leq(X23,s(X24))
| leq(X23,s(s(X25)))
| ~ leq(X24,X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_403])]) ).
fof(f1847,plain,
( spl14_215
<=> ! [X9,X8,X10] :
( leq(X8,s(X9))
| ~ leq(X8,X10)
| ~ leq(X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_215])]) ).
fof(f1901,plain,
( ! [X24,X25,X23] :
( ~ leq(X23,s(X24))
| leq(X23,s(s(X25)))
| ~ leq(X24,X25) )
| ~ spl14_102
| ~ spl14_215 ),
inference(resolution,[],[f1848,f845]) ).
fof(f1848,plain,
( ! [X10,X8,X9] :
( ~ leq(X10,X9)
| ~ leq(X8,X10)
| leq(X8,s(X9)) )
| ~ spl14_215 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f4397,plain,
( spl14_402
| ~ spl14_198
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1900,f1847,f1653,f4395]) ).
fof(f4395,plain,
( spl14_402
<=> ! [X22,X20,X21] :
( ~ leq(X20,s(X21))
| leq(X20,s(s(X22)))
| leq(X22,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_402])]) ).
fof(f1653,plain,
( spl14_198
<=> ! [X6,X5] :
( leq(X5,X6)
| leq(s(X6),s(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
fof(f1900,plain,
( ! [X21,X22,X20] :
( ~ leq(X20,s(X21))
| leq(X20,s(s(X22)))
| leq(X22,X21) )
| ~ spl14_198
| ~ spl14_215 ),
inference(resolution,[],[f1848,f1654]) ).
fof(f1654,plain,
( ! [X6,X5] :
( leq(s(X6),s(X5))
| leq(X5,X6) )
| ~ spl14_198 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f4393,plain,
( spl14_401
| ~ spl14_126
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1692,f1653,f1034,f4391]) ).
fof(f4391,plain,
( spl14_401
<=> ! [X6,X7] :
( leq(X6,X7)
| s(X6) = s(X7)
| leq(s(X7),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_401])]) ).
fof(f1692,plain,
( ! [X6,X7] :
( leq(X6,X7)
| s(X6) = s(X7)
| leq(s(X7),X6) )
| ~ spl14_126
| ~ spl14_198 ),
inference(resolution,[],[f1654,f1035]) ).
fof(f4258,plain,
( spl14_400
| ~ spl14_37
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2662,f2646,f524,f4256]) ).
fof(f4256,plain,
( spl14_400
<=> ! [X1] : ~ elem(m_Ack(X1,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_400])]) ).
fof(f524,plain,
( spl14_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f2646,plain,
( spl14_294
<=> ! [X4,X5] :
( ~ elem(m_Ack(X4,X5),sK2)
| ~ leq(host(X5),host(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_294])]) ).
fof(f2662,plain,
( ! [X1] : ~ elem(m_Ack(X1,X1),sK2)
| ~ spl14_37
| ~ spl14_294 ),
inference(resolution,[],[f2647,f525]) ).
fof(f525,plain,
( ! [X0] : leq(X0,X0)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f2647,plain,
( ! [X4,X5] :
( ~ leq(host(X5),host(X4))
| ~ elem(m_Ack(X4,X5),sK2) )
| ~ spl14_294 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f3978,plain,
( spl14_399
| ~ spl14_63
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2146,f2118,f658,f3976]) ).
fof(f3976,plain,
( spl14_399
<=> ! [X2] :
( ordered(X2)
| ~ ordered(init(X2))
| q_nil = X2
| pidElem(last(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_399])]) ).
fof(f658,plain,
( spl14_63
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f2118,plain,
( spl14_240
<=> ! [X7] :
( ordered(X7)
| ~ sP1(last(X7),init(X7))
| ~ ordered(init(X7))
| q_nil = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_240])]) ).
fof(f2146,plain,
( ! [X2] :
( ordered(X2)
| ~ ordered(init(X2))
| q_nil = X2
| pidElem(last(X2)) )
| ~ spl14_63
| ~ spl14_240 ),
inference(resolution,[],[f2119,f659]) ).
fof(f659,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl14_63 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f2119,plain,
( ! [X7] :
( ~ sP1(last(X7),init(X7))
| ordered(X7)
| ~ ordered(init(X7))
| q_nil = X7 )
| ~ spl14_240 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f3974,plain,
( spl14_398
| ~ spl14_61
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2133,f2114,f649,f3972]) ).
fof(f3972,plain,
( spl14_398
<=> ! [X2] :
( ordered(X2)
| ~ ordered(tail(X2))
| q_nil = X2
| pidElem(head(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_398])]) ).
fof(f649,plain,
( spl14_61
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f2114,plain,
( spl14_239
<=> ! [X7] :
( ordered(X7)
| ~ sP0(head(X7),tail(X7))
| ~ ordered(tail(X7))
| q_nil = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_239])]) ).
fof(f2133,plain,
( ! [X2] :
( ordered(X2)
| ~ ordered(tail(X2))
| q_nil = X2
| pidElem(head(X2)) )
| ~ spl14_61
| ~ spl14_239 ),
inference(resolution,[],[f2115,f650]) ).
fof(f650,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f2115,plain,
( ! [X7] :
( ~ sP0(head(X7),tail(X7))
| ordered(X7)
| ~ ordered(tail(X7))
| q_nil = X7 )
| ~ spl14_239 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f3970,plain,
( spl14_397
| ~ spl14_102
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2122,f2110,f844,f3968]) ).
fof(f3968,plain,
( spl14_397
<=> ! [X2,X3] :
( s(X2) = s(X3)
| ~ leq(X3,X2)
| ~ leq(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_397])]) ).
fof(f2110,plain,
( spl14_238
<=> ! [X9,X10] :
( s(X9) = s(X10)
| ~ leq(s(X9),s(X10))
| ~ leq(X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_238])]) ).
fof(f2122,plain,
( ! [X2,X3] :
( s(X2) = s(X3)
| ~ leq(X3,X2)
| ~ leq(X2,X3) )
| ~ spl14_102
| ~ spl14_238 ),
inference(resolution,[],[f2111,f845]) ).
fof(f2111,plain,
( ! [X10,X9] :
( ~ leq(s(X9),s(X10))
| s(X9) = s(X10)
| ~ leq(X10,X9) )
| ~ spl14_238 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f3966,plain,
( spl14_396
| ~ spl14_85
| ~ spl14_236 ),
inference(avatar_split_clause,[],[f2098,f2071,f764,f3964]) ).
fof(f3964,plain,
( spl14_396
<=> ! [X9,X7,X6,X8] :
( ~ ordered(cons(X6,X7))
| sP0(X6,snoc(X7,m_Ack(X8,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_396])]) ).
fof(f764,plain,
( spl14_85
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f2098,plain,
( ! [X8,X6,X9,X7] :
( ~ ordered(cons(X6,X7))
| sP0(X6,snoc(X7,m_Ack(X8,X9))) )
| ~ spl14_85
| ~ spl14_236 ),
inference(resolution,[],[f2072,f765]) ).
fof(f765,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f3962,plain,
( spl14_395
| ~ spl14_82
| ~ spl14_233 ),
inference(avatar_split_clause,[],[f2058,f1989,f752,f3960]) ).
fof(f3960,plain,
( spl14_395
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_395])]) ).
fof(f1989,plain,
( spl14_233
<=> ! [X22,X24,X23] :
( ordered(cons(X22,snoc(X23,m_Ldr(X24))))
| ~ ordered(cons(X22,X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_233])]) ).
fof(f2058,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl14_82
| ~ spl14_233 ),
inference(superposition,[],[f1990,f753]) ).
fof(f1990,plain,
( ! [X24,X22,X23] :
( ordered(cons(X22,snoc(X23,m_Ldr(X24))))
| ~ ordered(cons(X22,X23)) )
| ~ spl14_233 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f3958,plain,
( spl14_394
| ~ spl14_82
| ~ spl14_232 ),
inference(avatar_split_clause,[],[f2049,f1985,f752,f3956]) ).
fof(f3956,plain,
( spl14_394
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_394])]) ).
fof(f1985,plain,
( spl14_232
<=> ! [X13,X12,X14] :
( ~ ordered(cons(X12,snoc(X13,X14)))
| sP1(X14,cons(X12,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_232])]) ).
fof(f2049,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl14_82
| ~ spl14_232 ),
inference(superposition,[],[f1986,f753]) ).
fof(f1986,plain,
( ! [X14,X12,X13] :
( ~ ordered(cons(X12,snoc(X13,X14)))
| sP1(X14,cons(X12,X13)) )
| ~ spl14_232 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f3954,plain,
( spl14_393
| ~ spl14_102
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2010,f1956,f844,f3952]) ).
fof(f3952,plain,
( spl14_393
<=> ! [X18,X16,X17] :
( leq(s(X16),s(X17))
| ~ leq(X18,X17)
| ~ leq(X16,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_393])]) ).
fof(f1956,plain,
( spl14_225
<=> ! [X18,X16,X17] :
( leq(X16,s(X17))
| ~ leq(X16,s(X18))
| ~ leq(X18,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_225])]) ).
fof(f2010,plain,
( ! [X18,X16,X17] :
( leq(s(X16),s(X17))
| ~ leq(X18,X17)
| ~ leq(X16,X18) )
| ~ spl14_102
| ~ spl14_225 ),
inference(resolution,[],[f1957,f845]) ).
fof(f1957,plain,
( ! [X18,X16,X17] :
( ~ leq(X16,s(X18))
| leq(X16,s(X17))
| ~ leq(X18,X17) )
| ~ spl14_225 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f3950,plain,
( spl14_392
| ~ spl14_198
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2009,f1956,f1653,f3948]) ).
fof(f3948,plain,
( spl14_392
<=> ! [X13,X14,X15] :
( leq(s(X13),s(X14))
| ~ leq(X15,X14)
| leq(X15,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_392])]) ).
fof(f2009,plain,
( ! [X14,X15,X13] :
( leq(s(X13),s(X14))
| ~ leq(X15,X14)
| leq(X15,X13) )
| ~ spl14_198
| ~ spl14_225 ),
inference(resolution,[],[f1957,f1654]) ).
fof(f3946,plain,
( spl14_391
| ~ spl14_46
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1933,f1872,f588,f3944]) ).
fof(f3944,plain,
( spl14_391
<=> ! [X2,X3] :
( leq(X2,pidMsg(sK13(m_Down(X2),X3)))
| sP1(m_Down(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_391])]) ).
fof(f1933,plain,
( ! [X2,X3] :
( leq(X2,pidMsg(sK13(m_Down(X2),X3)))
| sP1(m_Down(X2),X3) )
| ~ spl14_46
| ~ spl14_221 ),
inference(superposition,[],[f1873,f589]) ).
fof(f3942,plain,
( spl14_390
| ~ spl14_45
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1932,f1872,f584,f3940]) ).
fof(f3940,plain,
( spl14_390
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_390])]) ).
fof(f584,plain,
( spl14_45
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f1932,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl14_45
| ~ spl14_221 ),
inference(superposition,[],[f1873,f585]) ).
fof(f585,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f3938,plain,
( spl14_389
| ~ spl14_88
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1895,f1847,f776,f3936]) ).
fof(f3936,plain,
( spl14_389
<=> ! [X12,X11,X10] :
( ~ leq(X10,X11)
| leq(X10,s(s(X12)))
| ~ leq(X11,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_389])]) ).
fof(f1895,plain,
( ! [X10,X11,X12] :
( ~ leq(X10,X11)
| leq(X10,s(s(X12)))
| ~ leq(X11,X12) )
| ~ spl14_88
| ~ spl14_215 ),
inference(resolution,[],[f1848,f777]) ).
fof(f3934,plain,
( spl14_388
| ~ spl14_102
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1838,f1825,f844,f3932]) ).
fof(f3932,plain,
( spl14_388
<=> ! [X25,X24,X23] :
( leq(s(X23),X24)
| leq(X24,s(X25))
| ~ leq(X23,X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_388])]) ).
fof(f1838,plain,
( ! [X24,X25,X23] :
( leq(s(X23),X24)
| leq(X24,s(X25))
| ~ leq(X23,X25) )
| ~ spl14_102
| ~ spl14_213 ),
inference(resolution,[],[f1826,f845]) ).
fof(f3930,plain,
( spl14_387
| ~ spl14_198
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1837,f1825,f1653,f3928]) ).
fof(f3928,plain,
( spl14_387
<=> ! [X22,X20,X21] :
( leq(s(X20),X21)
| leq(X21,s(X22))
| leq(X22,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_387])]) ).
fof(f1837,plain,
( ! [X21,X22,X20] :
( leq(s(X20),X21)
| leq(X21,s(X22))
| leq(X22,X20) )
| ~ spl14_198
| ~ spl14_213 ),
inference(resolution,[],[f1826,f1654]) ).
fof(f3926,plain,
( spl14_386
| ~ spl14_116
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1694,f1653,f936,f3924]) ).
fof(f3924,plain,
( spl14_386
<=> ! [X9,X11,X10] :
( leq(X9,X10)
| leq(X11,s(X9))
| ~ leq(X11,s(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_386])]) ).
fof(f1694,plain,
( ! [X10,X11,X9] :
( leq(X9,X10)
| leq(X11,s(X9))
| ~ leq(X11,s(X10)) )
| ~ spl14_116
| ~ spl14_198 ),
inference(resolution,[],[f1654,f937]) ).
fof(f3763,plain,
( spl14_385
| ~ spl14_68
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2184,f2161,f685,f3761]) ).
fof(f3761,plain,
( spl14_385
<=> ! [X18,X19] :
( head(X18) = head(snoc(X18,X19))
| q_nil = X18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_385])]) ).
fof(f685,plain,
( spl14_68
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f2184,plain,
( ! [X18,X19] :
( head(X18) = head(snoc(X18,X19))
| q_nil = X18 )
| ~ spl14_68
| ~ spl14_241 ),
inference(superposition,[],[f686,f2162]) ).
fof(f686,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl14_68 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f3759,plain,
( spl14_384
| ~ spl14_73
| ~ spl14_236 ),
inference(avatar_split_clause,[],[f2099,f2071,f705,f3757]) ).
fof(f3757,plain,
( spl14_384
<=> ! [X10,X11,X13,X12] :
( ~ ordered(cons(X10,X11))
| ordered(snoc(X11,m_Ack(X12,X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_384])]) ).
fof(f2099,plain,
( ! [X10,X11,X12,X13] :
( ~ ordered(cons(X10,X11))
| ordered(snoc(X11,m_Ack(X12,X13))) )
| ~ spl14_73
| ~ spl14_236 ),
inference(resolution,[],[f2072,f706]) ).
fof(f3755,plain,
( spl14_383
| ~ spl14_85
| ~ spl14_233 ),
inference(avatar_split_clause,[],[f2056,f1989,f764,f3753]) ).
fof(f3753,plain,
( spl14_383
<=> ! [X6,X5,X7] :
( ~ ordered(cons(X5,X6))
| sP0(X5,snoc(X6,m_Ldr(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_383])]) ).
fof(f2056,plain,
( ! [X6,X7,X5] :
( ~ ordered(cons(X5,X6))
| sP0(X5,snoc(X6,m_Ldr(X7))) )
| ~ spl14_85
| ~ spl14_233 ),
inference(resolution,[],[f1990,f765]) ).
fof(f3751,plain,
( spl14_382
| ~ spl14_82
| ~ spl14_222 ),
inference(avatar_split_clause,[],[f1934,f1876,f752,f3749]) ).
fof(f3749,plain,
( spl14_382
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_382])]) ).
fof(f1934,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl14_82
| ~ spl14_222 ),
inference(superposition,[],[f1877,f753]) ).
fof(f3747,plain,
( spl14_381
| ~ spl14_72
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1892,f1847,f701,f3745]) ).
fof(f3745,plain,
( spl14_381
<=> ! [X2,X4,X3] :
( ~ leq(X2,X3)
| leq(X2,s(X4))
| leq(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_381])]) ).
fof(f701,plain,
( spl14_72
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f1892,plain,
( ! [X2,X3,X4] :
( ~ leq(X2,X3)
| leq(X2,s(X4))
| leq(X4,X3) )
| ~ spl14_72
| ~ spl14_215 ),
inference(resolution,[],[f1848,f702]) ).
fof(f702,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl14_72 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f3743,plain,
( spl14_380
| ~ spl14_88
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1832,f1825,f776,f3741]) ).
fof(f3741,plain,
( spl14_380
<=> ! [X12,X11,X10] :
( leq(X10,X11)
| leq(X11,s(X12))
| ~ leq(X10,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_380])]) ).
fof(f1832,plain,
( ! [X10,X11,X12] :
( leq(X10,X11)
| leq(X11,s(X12))
| ~ leq(X10,X12) )
| ~ spl14_88
| ~ spl14_213 ),
inference(resolution,[],[f1826,f777]) ).
fof(f3739,plain,
( spl14_379
| ~ spl14_127
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1718,f1685,f1038,f3737]) ).
fof(f3737,plain,
( spl14_379
<=> ! [X6,X4,X5,X7] : last(cons(X7,cons(X4,snoc(X5,X6)))) = X6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_379])]) ).
fof(f1038,plain,
( spl14_127
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
fof(f1685,plain,
( spl14_205
<=> ! [X4,X5,X3] : last(cons(X3,snoc(X4,X5))) = X5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_205])]) ).
fof(f1718,plain,
( ! [X6,X7,X4,X5] : last(cons(X7,cons(X4,snoc(X5,X6)))) = X6
| ~ spl14_127
| ~ spl14_205 ),
inference(superposition,[],[f1686,f1039]) ).
fof(f1039,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1686,plain,
( ! [X3,X4,X5] : last(cons(X3,snoc(X4,X5))) = X5
| ~ spl14_205 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f3735,plain,
( spl14_378
| ~ spl14_118
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1717,f1685,f968,f3733]) ).
fof(f3733,plain,
( spl14_378
<=> ! [X2,X3] :
( last(X2) = last(cons(X3,X2))
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_378])]) ).
fof(f1717,plain,
( ! [X2,X3] :
( last(X2) = last(cons(X3,X2))
| q_nil = X2 )
| ~ spl14_118
| ~ spl14_205 ),
inference(superposition,[],[f1686,f969]) ).
fof(f3689,plain,
( ~ spl14_377
| ~ spl14_138
| spl14_350 ),
inference(avatar_split_clause,[],[f3284,f3277,f1141,f3686]) ).
fof(f3686,plain,
( spl14_377
<=> elem(m_Down(sK9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_377])]) ).
fof(f3277,plain,
( spl14_350
<=> elem(m_Down(sK9),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_350])]) ).
fof(f3284,plain,
( ~ elem(m_Down(sK9),sK2)
| ~ spl14_138
| spl14_350 ),
inference(resolution,[],[f3279,f1142]) ).
fof(f3279,plain,
( ~ elem(m_Down(sK9),queue(host(sK8)))
| spl14_350 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f3567,plain,
( spl14_376
| ~ spl14_189
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2192,f2161,f1572,f3565]) ).
fof(f3565,plain,
( spl14_376
<=> ! [X38,X37] :
( elem(head(X37),snoc(X37,X38))
| q_nil = X37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_376])]) ).
fof(f1572,plain,
( spl14_189
<=> ! [X0,X1] : elem(X0,cons(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
fof(f2192,plain,
( ! [X38,X37] :
( elem(head(X37),snoc(X37,X38))
| q_nil = X37 )
| ~ spl14_189
| ~ spl14_241 ),
inference(superposition,[],[f1573,f2162]) ).
fof(f1573,plain,
( ! [X0,X1] : elem(X0,cons(X0,X1))
| ~ spl14_189 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f3563,plain,
( spl14_375
| ~ spl14_73
| ~ spl14_233 ),
inference(avatar_split_clause,[],[f2057,f1989,f705,f3561]) ).
fof(f3561,plain,
( spl14_375
<=> ! [X9,X8,X10] :
( ~ ordered(cons(X8,X9))
| ordered(snoc(X9,m_Ldr(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_375])]) ).
fof(f2057,plain,
( ! [X10,X8,X9] :
( ~ ordered(cons(X8,X9))
| ordered(snoc(X9,m_Ldr(X10))) )
| ~ spl14_73
| ~ spl14_233 ),
inference(resolution,[],[f1990,f706]) ).
fof(f3559,plain,
( spl14_374
| ~ spl14_47
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1899,f1847,f592,f3557]) ).
fof(f3557,plain,
( spl14_374
<=> ! [X18,X19] :
( ~ leq(X18,s(zero))
| leq(X18,s(host(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_374])]) ).
fof(f592,plain,
( spl14_47
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f1899,plain,
( ! [X18,X19] :
( ~ leq(X18,s(zero))
| leq(X18,s(host(X19))) )
| ~ spl14_47
| ~ spl14_215 ),
inference(resolution,[],[f1848,f593]) ).
fof(f593,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f3555,plain,
( spl14_373
| ~ spl14_72
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1829,f1825,f701,f3553]) ).
fof(f3553,plain,
( spl14_373
<=> ! [X2,X4,X3] :
( leq(X2,X3)
| leq(X3,X4)
| leq(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_373])]) ).
fof(f1829,plain,
( ! [X2,X3,X4] :
( leq(X2,X3)
| leq(X3,X4)
| leq(X4,X2) )
| ~ spl14_72
| ~ spl14_213 ),
inference(resolution,[],[f1826,f702]) ).
fof(f3551,plain,
( spl14_372
| ~ spl14_166
| ~ spl14_249 ),
inference(avatar_split_clause,[],[f2309,f2259,f1337,f3549]) ).
fof(f3549,plain,
( spl14_372
<=> ! [X0,X1] :
( sK13(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK13(X0,snoc(queue(host(sK8)),X1))
| elem(sK13(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_372])]) ).
fof(f1337,plain,
( spl14_166
<=> ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
fof(f2259,plain,
( spl14_249
<=> ! [X6,X8,X7] :
( sK13(X6,snoc(X7,X8)) = X8
| elem(sK13(X6,snoc(X7,X8)),X7)
| sP1(X6,snoc(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_249])]) ).
fof(f2309,plain,
( ! [X0,X1] :
( sK13(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK13(X0,snoc(queue(host(sK8)),X1))
| elem(sK13(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl14_166
| ~ spl14_249 ),
inference(resolution,[],[f2260,f1338]) ).
fof(f1338,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_166 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f2260,plain,
( ! [X8,X6,X7] :
( elem(sK13(X6,snoc(X7,X8)),X7)
| sK13(X6,snoc(X7,X8)) = X8
| sP1(X6,snoc(X7,X8)) )
| ~ spl14_249 ),
inference(avatar_component_clause,[],[f2259]) ).
fof(f3543,plain,
( spl14_371
| ~ spl14_166
| ~ spl14_248 ),
inference(avatar_split_clause,[],[f2289,f2255,f1337,f3541]) ).
fof(f3541,plain,
( spl14_371
<=> ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_371])]) ).
fof(f2255,plain,
( spl14_248
<=> ! [X4,X5,X3] :
( sK12(X3,snoc(X4,X5)) = X5
| elem(sK12(X3,snoc(X4,X5)),X4)
| sP0(X3,snoc(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_248])]) ).
fof(f2289,plain,
( ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl14_166
| ~ spl14_248 ),
inference(resolution,[],[f2256,f1338]) ).
fof(f2256,plain,
( ! [X3,X4,X5] :
( elem(sK12(X3,snoc(X4,X5)),X4)
| sK12(X3,snoc(X4,X5)) = X5
| sP0(X3,snoc(X4,X5)) )
| ~ spl14_248 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f3539,plain,
( spl14_370
| ~ spl14_166
| ~ spl14_247 ),
inference(avatar_split_clause,[],[f2278,f2251,f1337,f3537]) ).
fof(f3537,plain,
( spl14_370
<=> ! [X0,X1] :
( sK13(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK13(X0,cons(X1,queue(host(sK8))))
| elem(sK13(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_370])]) ).
fof(f2278,plain,
( ! [X0,X1] :
( sK13(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK13(X0,cons(X1,queue(host(sK8))))
| elem(sK13(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl14_166
| ~ spl14_247 ),
inference(resolution,[],[f2252,f1338]) ).
fof(f3535,plain,
( spl14_369
| ~ spl14_166
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2267,f2247,f1337,f3533]) ).
fof(f3533,plain,
( spl14_369
<=> ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_369])]) ).
fof(f2267,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl14_166
| ~ spl14_246 ),
inference(resolution,[],[f2248,f1338]) ).
fof(f3513,plain,
( spl14_368
| ~ spl14_5
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1809,f1769,f345,f3511]) ).
fof(f3511,plain,
( spl14_368
<=> ! [X9,X8] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK7),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_368])]) ).
fof(f345,plain,
( spl14_5
<=> host(sK9) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f1769,plain,
( spl14_211
<=> ! [X6,X7,X8] :
( host(X6) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X7)))
| ~ elem(m_Down(X8),queue(host(X6)))
| host(X7) != host(X8)
| ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| host(X6) = host(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_211])]) ).
fof(f1809,plain,
( ! [X8,X9] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK7),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) )
| ~ spl14_5
| ~ spl14_211 ),
inference(superposition,[],[f1770,f347]) ).
fof(f347,plain,
( host(sK9) = host(sK10)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1770,plain,
( ! [X8,X6,X7] :
( host(X7) != host(X8)
| ~ elem(m_Down(sK7),queue(host(X7)))
| ~ elem(m_Down(X8),queue(host(X6)))
| host(X6) != host(sK8)
| ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| host(X6) = host(X7) )
| ~ spl14_211 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f3509,plain,
( spl14_367
| ~ spl14_5
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1797,f1759,f345,f3507]) ).
fof(f3507,plain,
( spl14_367
<=> ! [X9,X8] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_367])]) ).
fof(f1759,plain,
( spl14_209
<=> ! [X4,X5,X3] :
( host(X3) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X4)))
| ~ elem(m_Down(X5),queue(host(X3)))
| host(X4) != host(X5)
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) = host(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_209])]) ).
fof(f1797,plain,
( ! [X8,X9] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) )
| ~ spl14_5
| ~ spl14_209 ),
inference(superposition,[],[f1760,f347]) ).
fof(f1760,plain,
( ! [X3,X4,X5] :
( host(X4) != host(X5)
| ~ elem(m_Down(sK6),queue(host(X4)))
| ~ elem(m_Down(X5),queue(host(X3)))
| host(X3) != host(sK8)
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) = host(X4) )
| ~ spl14_209 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f3504,plain,
( spl14_366
| ~ spl14_5
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1780,f1755,f345,f3502]) ).
fof(f3502,plain,
( spl14_366
<=> ! [X9,X8] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_366])]) ).
fof(f1755,plain,
( spl14_208
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ 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,[spl14_208])]) ).
fof(f1780,plain,
( ! [X8,X9] :
( host(X8) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X8)))
| ~ elem(m_Down(sK9),queue(host(X9)))
| host(X9) != host(sK8)
| ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X9) )
| ~ spl14_5
| ~ spl14_208 ),
inference(superposition,[],[f1756,f347]) ).
fof(f1756,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(sK8)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_208 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f3466,plain,
( ~ spl14_365
| ~ spl14_138
| spl14_333 ),
inference(avatar_split_clause,[],[f3072,f3065,f1141,f3463]) ).
fof(f3463,plain,
( spl14_365
<=> elem(m_Down(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_365])]) ).
fof(f3065,plain,
( spl14_333
<=> elem(m_Down(sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_333])]) ).
fof(f3072,plain,
( ~ elem(m_Down(sK5),sK2)
| ~ spl14_138
| spl14_333 ),
inference(resolution,[],[f3067,f1142]) ).
fof(f3067,plain,
( ~ elem(m_Down(sK5),queue(host(sK8)))
| spl14_333 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f3347,plain,
( spl14_364
| ~ spl14_41
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1898,f1847,f559,f3345]) ).
fof(f3345,plain,
( spl14_364
<=> ! [X17] :
( ~ leq(X17,s(zero))
| leq(X17,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_364])]) ).
fof(f559,plain,
( spl14_41
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f1898,plain,
( ! [X17] :
( ~ leq(X17,s(zero))
| leq(X17,s(nbr_proc)) )
| ~ spl14_41
| ~ spl14_215 ),
inference(resolution,[],[f1848,f561]) ).
fof(f561,plain,
( leq(s(zero),nbr_proc)
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f3343,plain,
( spl14_363
| ~ spl14_43
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1897,f1847,f568,f3341]) ).
fof(f3341,plain,
( spl14_363
<=> ! [X16,X15] :
( ~ leq(X15,host(X16))
| leq(X15,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_363])]) ).
fof(f568,plain,
( spl14_43
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f1897,plain,
( ! [X16,X15] :
( ~ leq(X15,host(X16))
| leq(X15,s(nbr_proc)) )
| ~ spl14_43
| ~ spl14_215 ),
inference(resolution,[],[f1848,f569]) ).
fof(f569,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f3339,plain,
( spl14_362
| ~ spl14_177
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1896,f1847,f1450,f3337]) ).
fof(f3337,plain,
( spl14_362
<=> ! [X13,X14] :
( ~ leq(X13,X14)
| leq(X13,s(s(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_362])]) ).
fof(f1450,plain,
( spl14_177
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
fof(f1896,plain,
( ! [X14,X13] :
( ~ leq(X13,X14)
| leq(X13,s(s(X14))) )
| ~ spl14_177
| ~ spl14_215 ),
inference(resolution,[],[f1848,f1451]) ).
fof(f1451,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl14_177 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f3335,plain,
( spl14_361
| ~ spl14_82
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1716,f1685,f752,f3333]) ).
fof(f3333,plain,
( spl14_361
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_361])]) ).
fof(f1716,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl14_82
| ~ spl14_205 ),
inference(superposition,[],[f1686,f753]) ).
fof(f3331,plain,
( ~ spl14_360
| ~ spl14_37
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2575,f2552,f524,f3328]) ).
fof(f3328,plain,
( spl14_360
<=> elem(m_Halt(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_360])]) ).
fof(f2552,plain,
( spl14_286
<=> ! [X3] :
( ~ elem(m_Halt(X3),sK2)
| ~ leq(host(sK8),host(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_286])]) ).
fof(f2575,plain,
( ~ elem(m_Halt(sK8),sK2)
| ~ spl14_37
| ~ spl14_286 ),
inference(resolution,[],[f2553,f525]) ).
fof(f2553,plain,
( ! [X3] :
( ~ leq(host(sK8),host(X3))
| ~ elem(m_Halt(X3),sK2) )
| ~ spl14_286 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f3326,plain,
( spl14_359
| ~ spl14_102
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1711,f1673,f844,f3324]) ).
fof(f3324,plain,
( spl14_359
<=> ! [X11,X10] :
( leq(s(X10),host(X11))
| ~ leq(X10,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_359])]) ).
fof(f1673,plain,
( spl14_202
<=> ! [X14,X15] :
( leq(X14,host(X15))
| ~ leq(X14,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_202])]) ).
fof(f1711,plain,
( ! [X10,X11] :
( leq(s(X10),host(X11))
| ~ leq(X10,zero) )
| ~ spl14_102
| ~ spl14_202 ),
inference(resolution,[],[f1674,f845]) ).
fof(f1674,plain,
( ! [X14,X15] :
( ~ leq(X14,s(zero))
| leq(X14,host(X15)) )
| ~ spl14_202 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f3322,plain,
( spl14_358
| ~ spl14_198
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1710,f1673,f1653,f3320]) ).
fof(f3320,plain,
( spl14_358
<=> ! [X9,X8] :
( leq(s(X8),host(X9))
| leq(zero,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_358])]) ).
fof(f1710,plain,
( ! [X8,X9] :
( leq(s(X8),host(X9))
| leq(zero,X8) )
| ~ spl14_198
| ~ spl14_202 ),
inference(resolution,[],[f1674,f1654]) ).
fof(f3318,plain,
( spl14_357
| ~ spl14_72
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1708,f1673,f701,f3316]) ).
fof(f3316,plain,
( spl14_357
<=> ! [X4,X5] :
( leq(X4,host(X5))
| leq(s(zero),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_357])]) ).
fof(f1708,plain,
( ! [X4,X5] :
( leq(X4,host(X5))
| leq(s(zero),X4) )
| ~ spl14_72
| ~ spl14_202 ),
inference(resolution,[],[f1674,f702]) ).
fof(f3314,plain,
( spl14_356
| ~ spl14_88
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1632,f1610,f776,f3312]) ).
fof(f3312,plain,
( spl14_356
<=> ! [X9,X10] :
( leq(X9,s(X10))
| ~ leq(s(X9),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_356])]) ).
fof(f1610,plain,
( spl14_194
<=> ! [X2,X3] :
( leq(X2,X3)
| ~ leq(s(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
fof(f1632,plain,
( ! [X10,X9] :
( leq(X9,s(X10))
| ~ leq(s(X9),X10) )
| ~ spl14_88
| ~ spl14_194 ),
inference(resolution,[],[f1611,f777]) ).
fof(f1611,plain,
( ! [X2,X3] :
( ~ leq(s(X2),X3)
| leq(X2,X3) )
| ~ spl14_194 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f3309,plain,
( ~ spl14_354
| spl14_355
| ~ spl14_9
| ~ spl14_207 ),
inference(avatar_split_clause,[],[f1747,f1739,f367,f3307,f3303]) ).
fof(f367,plain,
( spl14_9
<=> host(sK4) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f1747,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X0) = host(sK10)
| ~ setIn(X0,alive)
| host(X1) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(sK10)))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_9
| ~ spl14_207 ),
inference(superposition,[],[f1740,f369]) ).
fof(f369,plain,
( host(sK4) = host(sK8)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f3291,plain,
( spl14_352
| ~ spl14_3
| spl14_6
| spl14_353
| ~ spl14_5
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1735,f1723,f345,f3289,f350,f335,f3286]) ).
fof(f335,plain,
( spl14_3
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f350,plain,
( spl14_6
<=> host(sK8) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1723,plain,
( spl14_206
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| host(X1) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_206])]) ).
fof(f1735,plain,
( ! [X6,X5] :
( host(X5) != host(sK10)
| host(sK8) = host(sK10)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X5),queue(host(sK8)))
| host(X6) != host(sK8)
| ~ elem(m_Down(X6),queue(host(sK10))) )
| ~ spl14_5
| ~ spl14_206 ),
inference(superposition,[],[f1724,f347]) ).
fof(f1724,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl14_206 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f3283,plain,
( ~ spl14_350
| spl14_351
| ~ spl14_5
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1730,f1723,f345,f3281,f3277]) ).
fof(f3281,plain,
( spl14_351
<=> ! [X9,X8] :
( host(X8) != host(sK10)
| host(X9) != host(sK8)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| host(X8) = host(sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_351])]) ).
fof(f1730,plain,
( ! [X8,X9] :
( host(X8) != host(sK10)
| host(X8) = host(sK8)
| ~ setIn(X8,alive)
| ~ elem(m_Down(sK9),queue(host(sK8)))
| host(X9) != host(sK8)
| ~ elem(m_Down(X9),queue(host(X8))) )
| ~ spl14_5
| ~ spl14_206 ),
inference(superposition,[],[f1724,f347]) ).
fof(f3269,plain,
( ~ spl14_349
| ~ spl14_24
| ~ spl14_140
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2485,f2478,f1149,f459,f3266]) ).
fof(f3266,plain,
( spl14_349
<=> leq(nbr_proc,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_349])]) ).
fof(f459,plain,
( spl14_24
<=> ! [X18,X17,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f1149,plain,
( spl14_140
<=> nbr_proc = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
fof(f2478,plain,
( spl14_271
<=> elem(m_Ack(sK3,sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_271])]) ).
fof(f2485,plain,
( ~ leq(nbr_proc,host(sK3))
| ~ spl14_24
| ~ spl14_140
| ~ spl14_271 ),
inference(forward_demodulation,[],[f2484,f1151]) ).
fof(f1151,plain,
( nbr_proc = host(sK5)
| ~ spl14_140 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f2484,plain,
( ~ leq(host(sK5),host(sK3))
| ~ spl14_24
| ~ spl14_271 ),
inference(resolution,[],[f2480,f460]) ).
fof(f460,plain,
( ! [X18,X19,X17] :
( ~ elem(m_Ack(X19,X17),queue(host(X18)))
| ~ leq(host(X17),host(X19)) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f2480,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK8)))
| ~ spl14_271 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f3264,plain,
( spl14_348
| spl14_334
| ~ spl14_112
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1180,f1149,f911,f3069,f3262]) ).
fof(f3262,plain,
( spl14_348
<=> ! [X16,X15] :
( ~ elem(m_Down(sK5),queue(host(X15)))
| nbr_proc = host(X15)
| ~ setIn(X15,alive)
| host(X15) != host(X16)
| ~ elem(m_Down(X16),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_348])]) ).
fof(f3069,plain,
( spl14_334
<=> ! [X2] :
( host(X2) != nbr_proc
| ~ setIn(X2,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_334])]) ).
fof(f911,plain,
( spl14_112
<=> ! [X10,X11,X12,X9] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
fof(f1180,plain,
( ! [X16,X14,X15] :
( nbr_proc != host(X14)
| ~ elem(m_Down(sK5),queue(host(X15)))
| ~ elem(m_Down(X16),queue(nbr_proc))
| host(X15) != host(X16)
| ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| nbr_proc = host(X15) )
| ~ spl14_112
| ~ spl14_140 ),
inference(inner_rewriting,[],[f1173]) ).
fof(f1173,plain,
( ! [X16,X14,X15] :
( nbr_proc != host(X14)
| ~ elem(m_Down(sK5),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X14)))
| host(X15) != host(X16)
| ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| host(X14) = host(X15) )
| ~ spl14_112
| ~ spl14_140 ),
inference(superposition,[],[f912,f1151]) ).
fof(f912,plain,
( ! [X10,X11,X9,X12] :
( host(X11) != host(X12)
| ~ 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) )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f3258,plain,
( spl14_347
| ~ spl14_165
| ~ spl14_247 ),
inference(avatar_split_clause,[],[f2286,f2251,f1333,f3256]) ).
fof(f3256,plain,
( spl14_347
<=> ! [X2,X1] :
( elem(sK13(X2,snoc(queue(host(sK8)),X1)),snoc(sK2,X1))
| m_Ack(sK3,sK5) = sK13(X2,snoc(queue(host(sK8)),X1))
| sP1(X2,snoc(queue(host(sK8)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_347])]) ).
fof(f1333,plain,
( spl14_165
<=> ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
fof(f2286,plain,
( ! [X2,X1] :
( elem(sK13(X2,snoc(queue(host(sK8)),X1)),snoc(sK2,X1))
| m_Ack(sK3,sK5) = sK13(X2,snoc(queue(host(sK8)),X1))
| sP1(X2,snoc(queue(host(sK8)),X1)) )
| ~ spl14_165
| ~ spl14_247 ),
inference(superposition,[],[f2252,f1334]) ).
fof(f1334,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl14_165 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f3254,plain,
( spl14_346
| ~ spl14_165
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2275,f2247,f1333,f3252]) ).
fof(f3252,plain,
( spl14_346
<=> ! [X2,X1] :
( elem(sK12(X2,snoc(queue(host(sK8)),X1)),snoc(sK2,X1))
| m_Ack(sK3,sK5) = sK12(X2,snoc(queue(host(sK8)),X1))
| sP0(X2,snoc(queue(host(sK8)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_346])]) ).
fof(f2275,plain,
( ! [X2,X1] :
( elem(sK12(X2,snoc(queue(host(sK8)),X1)),snoc(sK2,X1))
| m_Ack(sK3,sK5) = sK12(X2,snoc(queue(host(sK8)),X1))
| sP0(X2,snoc(queue(host(sK8)),X1)) )
| ~ spl14_165
| ~ spl14_246 ),
inference(superposition,[],[f2248,f1334]) ).
fof(f3117,plain,
( spl14_345
| ~ spl14_88
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1705,f1673,f776,f3115]) ).
fof(f3115,plain,
( spl14_345
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_345])]) ).
fof(f1705,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl14_88
| ~ spl14_202 ),
inference(resolution,[],[f1674,f777]) ).
fof(f3113,plain,
( spl14_344
| ~ spl14_197
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1693,f1653,f1622,f3111]) ).
fof(f3111,plain,
( spl14_344
<=> ! [X8] :
( leq(zero,X8)
| leq(s(X8),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_344])]) ).
fof(f1693,plain,
( ! [X8] :
( leq(zero,X8)
| leq(s(X8),nbr_proc) )
| ~ spl14_197
| ~ spl14_198 ),
inference(resolution,[],[f1654,f1623]) ).
fof(f3109,plain,
( spl14_343
| ~ spl14_102
| ~ spl14_197 ),
inference(avatar_split_clause,[],[f1651,f1622,f844,f3107]) ).
fof(f3107,plain,
( spl14_343
<=> ! [X3] :
( leq(s(X3),nbr_proc)
| ~ leq(X3,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_343])]) ).
fof(f1651,plain,
( ! [X3] :
( leq(s(X3),nbr_proc)
| ~ leq(X3,zero) )
| ~ spl14_102
| ~ spl14_197 ),
inference(resolution,[],[f1623,f845]) ).
fof(f3105,plain,
( spl14_342
| ~ spl14_72
| ~ spl14_197 ),
inference(avatar_split_clause,[],[f1649,f1622,f701,f3103]) ).
fof(f3103,plain,
( spl14_342
<=> ! [X1] :
( leq(X1,nbr_proc)
| leq(s(zero),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_342])]) ).
fof(f1649,plain,
( ! [X1] :
( leq(X1,nbr_proc)
| leq(s(zero),X1) )
| ~ spl14_72
| ~ spl14_197 ),
inference(resolution,[],[f1623,f702]) ).
fof(f3101,plain,
( spl14_341
| ~ spl14_72
| ~ spl14_196 ),
inference(avatar_split_clause,[],[f1637,f1618,f701,f3099]) ).
fof(f3099,plain,
( spl14_341
<=> ! [X2,X3] :
( leq(X2,nbr_proc)
| leq(host(X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_341])]) ).
fof(f1637,plain,
( ! [X2,X3] :
( leq(X2,nbr_proc)
| leq(host(X3),X2) )
| ~ spl14_72
| ~ spl14_196 ),
inference(resolution,[],[f1619,f702]) ).
fof(f3097,plain,
( spl14_340
| ~ spl14_72
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1629,f1610,f701,f3095]) ).
fof(f3095,plain,
( spl14_340
<=> ! [X4,X5] :
( leq(X4,X5)
| leq(X5,s(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_340])]) ).
fof(f1629,plain,
( ! [X4,X5] :
( leq(X4,X5)
| leq(X5,s(X4)) )
| ~ spl14_72
| ~ spl14_194 ),
inference(resolution,[],[f1611,f702]) ).
fof(f3093,plain,
( spl14_290
| ~ spl14_261
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f2514,f2443,f2386,f2585]) ).
fof(f2585,plain,
( spl14_290
<=> leq(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
fof(f2386,plain,
( spl14_261
<=> leq(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_261])]) ).
fof(f2514,plain,
( leq(sK6,sK7)
| ~ spl14_261
| ~ spl14_267 ),
inference(superposition,[],[f2388,f2445]) ).
fof(f2388,plain,
( leq(sK6,sK4)
| ~ spl14_261 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f3092,plain,
( spl14_339
| ~ spl14_127
| ~ spl14_190 ),
inference(avatar_split_clause,[],[f1592,f1576,f1038,f3090]) ).
fof(f3090,plain,
( spl14_339
<=> ! [X4,X2,X3] : elem(X4,cons(X2,snoc(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_339])]) ).
fof(f1576,plain,
( spl14_190
<=> ! [X0,X1] : elem(X0,snoc(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
fof(f1592,plain,
( ! [X2,X3,X4] : elem(X4,cons(X2,snoc(X3,X4)))
| ~ spl14_127
| ~ spl14_190 ),
inference(superposition,[],[f1577,f1039]) ).
fof(f1577,plain,
( ! [X0,X1] : elem(X0,snoc(X1,X0))
| ~ spl14_190 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f3088,plain,
( spl14_338
| ~ spl14_118
| ~ spl14_190 ),
inference(avatar_split_clause,[],[f1591,f1576,f968,f3086]) ).
fof(f3086,plain,
( spl14_338
<=> ! [X1] :
( elem(last(X1),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_338])]) ).
fof(f1591,plain,
( ! [X1] :
( elem(last(X1),X1)
| q_nil = X1 )
| ~ spl14_118
| ~ spl14_190 ),
inference(superposition,[],[f1577,f969]) ).
fof(f3084,plain,
( spl14_337
| ~ spl14_117
| ~ spl14_189 ),
inference(avatar_split_clause,[],[f1588,f1572,f964,f3082]) ).
fof(f3082,plain,
( spl14_337
<=> ! [X1] :
( elem(head(X1),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_337])]) ).
fof(f964,plain,
( spl14_117
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
fof(f1588,plain,
( ! [X1] :
( elem(head(X1),X1)
| q_nil = X1 )
| ~ spl14_117
| ~ spl14_189 ),
inference(superposition,[],[f1573,f965]) ).
fof(f965,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl14_117 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f3080,plain,
( ~ spl14_335
| spl14_336
| spl14_288
| spl14_334
| ~ spl14_140
| ~ spl14_207 ),
inference(avatar_split_clause,[],[f1753,f1739,f1149,f3069,f2560,f3078,f3074]) ).
fof(f3074,plain,
( spl14_335
<=> elem(m_Down(sK5),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_335])]) ).
fof(f3078,plain,
( spl14_336
<=> ! [X3] :
( host(X3) != host(sK10)
| ~ elem(m_Down(X3),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_336])]) ).
fof(f2560,plain,
( spl14_288
<=> nbr_proc = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_288])]) ).
fof(f1753,plain,
( ! [X2,X3] :
( host(X2) != nbr_proc
| nbr_proc = host(sK10)
| ~ setIn(X2,alive)
| host(X3) != host(sK10)
| ~ elem(m_Down(sK5),queue(host(sK10)))
| ~ elem(m_Down(X3),queue(nbr_proc)) )
| ~ spl14_140
| ~ spl14_207 ),
inference(inner_rewriting,[],[f1748]) ).
fof(f1748,plain,
( ! [X2,X3] :
( host(X2) != nbr_proc
| host(X2) = host(sK10)
| ~ setIn(X2,alive)
| host(X3) != host(sK10)
| ~ elem(m_Down(sK5),queue(host(sK10)))
| ~ elem(m_Down(X3),queue(host(X2))) )
| ~ spl14_140
| ~ spl14_207 ),
inference(superposition,[],[f1740,f1151]) ).
fof(f3071,plain,
( spl14_332
| ~ spl14_333
| spl14_155
| spl14_334
| ~ spl14_140
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1737,f1723,f1149,f3069,f1252,f3065,f3062]) ).
fof(f3062,plain,
( spl14_332
<=> ! [X3] :
( host(X3) != host(sK8)
| ~ elem(m_Down(X3),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_332])]) ).
fof(f1252,plain,
( spl14_155
<=> nbr_proc = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f1737,plain,
( ! [X2,X3] :
( host(X2) != nbr_proc
| nbr_proc = host(sK8)
| ~ setIn(X2,alive)
| ~ elem(m_Down(sK5),queue(host(sK8)))
| host(X3) != host(sK8)
| ~ elem(m_Down(X3),queue(nbr_proc)) )
| ~ spl14_140
| ~ spl14_206 ),
inference(inner_rewriting,[],[f1727]) ).
fof(f1727,plain,
( ! [X2,X3] :
( host(X2) != nbr_proc
| host(X2) = host(sK8)
| ~ setIn(X2,alive)
| ~ elem(m_Down(sK5),queue(host(sK8)))
| host(X3) != host(sK8)
| ~ elem(m_Down(X3),queue(host(X2))) )
| ~ spl14_140
| ~ spl14_206 ),
inference(superposition,[],[f1724,f1151]) ).
fof(f3046,plain,
( spl14_331
| ~ spl14_88
| ~ spl14_197 ),
inference(avatar_split_clause,[],[f1646,f1622,f776,f3044]) ).
fof(f3044,plain,
( spl14_331
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_331])]) ).
fof(f1646,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl14_88
| ~ spl14_197 ),
inference(resolution,[],[f1623,f777]) ).
fof(f3038,plain,
( spl14_330
| ~ spl14_88
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1583,f1563,f776,f3036]) ).
fof(f3036,plain,
( spl14_330
<=> ! [X3] : ~ leq(s(s(s(X3))),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_330])]) ).
fof(f1563,plain,
( spl14_187
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
fof(f1583,plain,
( ! [X3] : ~ leq(s(s(s(X3))),X3)
| ~ spl14_88
| ~ spl14_187 ),
inference(resolution,[],[f1564,f777]) ).
fof(f1564,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_187 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f3034,plain,
( spl14_329
| ~ spl14_105
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1351,f1337,f856,f3032]) ).
fof(f3032,plain,
( spl14_329
<=> ! [X2] :
( m_Ack(sK3,sK5) = sK13(X2,queue(host(sK8)))
| elem(sK13(X2,queue(host(sK8))),sK2)
| sP1(X2,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_329])]) ).
fof(f1351,plain,
( ! [X2] :
( m_Ack(sK3,sK5) = sK13(X2,queue(host(sK8)))
| elem(sK13(X2,queue(host(sK8))),sK2)
| sP1(X2,queue(host(sK8))) )
| ~ spl14_105
| ~ spl14_166 ),
inference(resolution,[],[f1338,f857]) ).
fof(f3030,plain,
( spl14_328
| ~ spl14_104
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1350,f1337,f852,f3028]) ).
fof(f3028,plain,
( spl14_328
<=> ! [X1] :
( m_Ack(sK3,sK5) = sK12(X1,queue(host(sK8)))
| elem(sK12(X1,queue(host(sK8))),sK2)
| sP0(X1,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_328])]) ).
fof(f1350,plain,
( ! [X1] :
( m_Ack(sK3,sK5) = sK12(X1,queue(host(sK8)))
| elem(sK12(X1,queue(host(sK8))),sK2)
| sP0(X1,queue(host(sK8))) )
| ~ spl14_104
| ~ spl14_166 ),
inference(resolution,[],[f1338,f853]) ).
fof(f3016,plain,
( spl14_327
| ~ spl14_72
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1580,f1563,f701,f3014]) ).
fof(f3014,plain,
( spl14_327
<=> ! [X1] : leq(X1,s(s(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_327])]) ).
fof(f1580,plain,
( ! [X1] : leq(X1,s(s(X1)))
| ~ spl14_72
| ~ spl14_187 ),
inference(resolution,[],[f1564,f702]) ).
fof(f2964,plain,
( spl14_326
| ~ spl14_128
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1348,f1333,f1042,f2962]) ).
fof(f2962,plain,
( spl14_326
<=> ! [X11,X10] :
( ~ elem(X11,snoc(queue(host(sK8)),X10))
| m_Ack(sK3,sK5) = X11
| elem(X11,snoc(sK2,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_326])]) ).
fof(f1348,plain,
( ! [X10,X11] :
( ~ elem(X11,snoc(queue(host(sK8)),X10))
| m_Ack(sK3,sK5) = X11
| elem(X11,snoc(sK2,X10)) )
| ~ spl14_128
| ~ spl14_165 ),
inference(superposition,[],[f1043,f1334]) ).
fof(f2960,plain,
( spl14_325
| ~ spl14_127
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1347,f1333,f1038,f2958]) ).
fof(f2958,plain,
( spl14_325
<=> ! [X9,X8] : cons(m_Ack(sK3,sK5),snoc(snoc(sK2,X8),X9)) = snoc(snoc(queue(host(sK8)),X8),X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_325])]) ).
fof(f1347,plain,
( ! [X8,X9] : cons(m_Ack(sK3,sK5),snoc(snoc(sK2,X8),X9)) = snoc(snoc(queue(host(sK8)),X8),X9)
| ~ spl14_127
| ~ spl14_165 ),
inference(superposition,[],[f1039,f1334]) ).
fof(f2956,plain,
( spl14_324
| ~ spl14_113
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1346,f1333,f924,f2954]) ).
fof(f2954,plain,
( spl14_324
<=> ! [X7] :
( ordered(snoc(queue(host(sK8)),X7))
| ~ sP0(m_Ack(sK3,sK5),snoc(sK2,X7))
| ~ ordered(snoc(sK2,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_324])]) ).
fof(f1346,plain,
( ! [X7] :
( ordered(snoc(queue(host(sK8)),X7))
| ~ sP0(m_Ack(sK3,sK5),snoc(sK2,X7))
| ~ ordered(snoc(sK2,X7)) )
| ~ spl14_113
| ~ spl14_165 ),
inference(superposition,[],[f925,f1334]) ).
fof(f2942,plain,
( spl14_323
| ~ spl14_47
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1626,f1610,f592,f2940]) ).
fof(f2940,plain,
( spl14_323
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_323])]) ).
fof(f1626,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl14_47
| ~ spl14_194 ),
inference(resolution,[],[f1611,f593]) ).
fof(f2926,plain,
( spl14_322
| ~ spl14_134
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1178,f1149,f1100,f2924]) ).
fof(f2924,plain,
( spl14_322
<=> ! [X24,X23] :
( nbr_proc != host(X23)
| ~ elem(m_Down(X23),X24)
| leq(sK5,X23)
| ~ ordered(cons(m_Halt(sK5),X24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_322])]) ).
fof(f1100,plain,
( spl14_134
<=> ! [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,[spl14_134])]) ).
fof(f1178,plain,
( ! [X24,X23] :
( nbr_proc != host(X23)
| ~ elem(m_Down(X23),X24)
| leq(sK5,X23)
| ~ ordered(cons(m_Halt(sK5),X24)) )
| ~ spl14_134
| ~ spl14_140 ),
inference(superposition,[],[f1101,f1151]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl14_134 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f2922,plain,
( spl14_321
| ~ spl14_134
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1177,f1149,f1100,f2920]) ).
fof(f2920,plain,
( spl14_321
<=> ! [X22,X21] :
( nbr_proc != host(X21)
| ~ elem(m_Down(sK5),X22)
| leq(X21,sK5)
| ~ ordered(cons(m_Halt(X21),X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_321])]) ).
fof(f1177,plain,
( ! [X21,X22] :
( nbr_proc != host(X21)
| ~ elem(m_Down(sK5),X22)
| leq(X21,sK5)
| ~ ordered(cons(m_Halt(X21),X22)) )
| ~ spl14_134
| ~ spl14_140 ),
inference(superposition,[],[f1101,f1151]) ).
fof(f2914,plain,
( spl14_320
| ~ spl14_85
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1344,f1333,f764,f2912]) ).
fof(f2912,plain,
( spl14_320
<=> ! [X4] :
( ~ ordered(snoc(queue(host(sK8)),X4))
| sP0(m_Ack(sK3,sK5),snoc(sK2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_320])]) ).
fof(f1344,plain,
( ! [X4] :
( ~ ordered(snoc(queue(host(sK8)),X4))
| sP0(m_Ack(sK3,sK5),snoc(sK2,X4)) )
| ~ spl14_85
| ~ spl14_165 ),
inference(superposition,[],[f765,f1334]) ).
fof(f2904,plain,
( ~ spl14_317
| spl14_319
| ~ spl14_39
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1167,f1149,f532,f2902,f2894]) ).
fof(f2894,plain,
( spl14_317
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_317])]) ).
fof(f2902,plain,
( spl14_319
<=> ! [X8] :
( nbr_proc != host(X8)
| setIn(X8,alive)
| ~ leq(sK5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_319])]) ).
fof(f532,plain,
( spl14_39
<=> ! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f1167,plain,
( ! [X8] :
( nbr_proc != host(X8)
| ~ setIn(sK5,alive)
| ~ leq(sK5,X8)
| setIn(X8,alive) )
| ~ spl14_39
| ~ spl14_140 ),
inference(superposition,[],[f533,f1151]) ).
fof(f533,plain,
( ! [X16,X15] :
( host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ leq(X16,X15)
| setIn(X15,alive) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f2900,plain,
( spl14_317
| spl14_318
| ~ spl14_39
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1166,f1149,f532,f2898,f2894]) ).
fof(f2898,plain,
( spl14_318
<=> ! [X7] :
( nbr_proc != host(X7)
| ~ leq(X7,sK5)
| ~ setIn(X7,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_318])]) ).
fof(f1166,plain,
( ! [X7] :
( nbr_proc != host(X7)
| ~ setIn(X7,alive)
| ~ leq(X7,sK5)
| setIn(sK5,alive) )
| ~ spl14_39
| ~ spl14_140 ),
inference(superposition,[],[f533,f1151]) ).
fof(f2887,plain,
( spl14_265
| spl14_316
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1560,f1491,f2885,f2432]) ).
fof(f2432,plain,
( spl14_265
<=> leq(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_265])]) ).
fof(f2885,plain,
( spl14_316
<=> ! [X0] :
( ~ elem(m_Down(sK10),X0)
| ~ ordered(cons(m_Halt(sK9),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_316])]) ).
fof(f1491,plain,
( spl14_186
<=> ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(X6),X7)
| leq(sK9,X6)
| ~ ordered(cons(m_Halt(sK9),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
fof(f1560,plain,
( ! [X0] :
( ~ elem(m_Down(sK10),X0)
| leq(sK9,sK10)
| ~ ordered(cons(m_Halt(sK9),X0)) )
| ~ spl14_186 ),
inference(equality_resolution,[],[f1492]) ).
fof(f1492,plain,
( ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(X6),X7)
| leq(sK9,X6)
| ~ ordered(cons(m_Halt(sK9),X7)) )
| ~ spl14_186 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f2881,plain,
( ~ spl14_266
| ~ spl14_141
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2482,f2474,f1195,f2436]) ).
fof(f2436,plain,
( spl14_266
<=> setIn(sK10,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_266])]) ).
fof(f2474,plain,
( spl14_270
<=> ! [X2] :
( ~ elem(m_Down(X2),sK2)
| ~ setIn(X2,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_270])]) ).
fof(f2482,plain,
( ~ setIn(sK10,alive)
| ~ spl14_141
| ~ spl14_270 ),
inference(resolution,[],[f2475,f1197]) ).
fof(f1197,plain,
( elem(m_Down(sK10),sK2)
| ~ spl14_141 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f2475,plain,
( ! [X2] :
( ~ elem(m_Down(X2),sK2)
| ~ setIn(X2,alive) )
| ~ spl14_270 ),
inference(avatar_component_clause,[],[f2474]) ).
fof(f2874,plain,
( ~ spl14_315
| ~ spl14_88
| spl14_200 ),
inference(avatar_split_clause,[],[f1669,f1661,f776,f2871]) ).
fof(f2871,plain,
( spl14_315
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_315])]) ).
fof(f1661,plain,
( spl14_200
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_200])]) ).
fof(f1669,plain,
( ~ leq(nbr_proc,zero)
| ~ spl14_88
| spl14_200 ),
inference(resolution,[],[f1663,f777]) ).
fof(f1663,plain,
( ~ leq(nbr_proc,s(zero))
| spl14_200 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f2869,plain,
( spl14_314
| ~ spl14_41
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1625,f1610,f559,f2866]) ).
fof(f2866,plain,
( spl14_314
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_314])]) ).
fof(f1625,plain,
( leq(zero,nbr_proc)
| ~ spl14_41
| ~ spl14_194 ),
inference(resolution,[],[f1611,f561]) ).
fof(f2863,plain,
( spl14_312
| spl14_313
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1508,f1462,f2861,f2841]) ).
fof(f2841,plain,
( spl14_312
<=> leq(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_312])]) ).
fof(f2861,plain,
( spl14_313
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK8),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_313])]) ).
fof(f1462,plain,
( spl14_179
<=> ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(sK6),X3)
| leq(X2,sK6)
| ~ ordered(cons(m_Halt(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
fof(f1508,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK8,sK6)
| ~ ordered(cons(m_Halt(sK8),X0)) )
| ~ spl14_179 ),
inference(equality_resolution,[],[f1463]) ).
fof(f1463,plain,
( ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(sK6),X3)
| leq(X2,sK6)
| ~ ordered(cons(m_Halt(X2),X3)) )
| ~ spl14_179 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f2849,plain,
( spl14_304
| ~ spl14_267
| ~ spl14_305 ),
inference(avatar_split_clause,[],[f2817,f2778,f2443,f2734]) ).
fof(f2734,plain,
( spl14_304
<=> ! [X3] :
( ~ elem(m_Down(sK6),X3)
| ~ ordered(cons(m_Halt(sK7),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_304])]) ).
fof(f2778,plain,
( spl14_305
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_305])]) ).
fof(f2817,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK7),X0))
| ~ elem(m_Down(sK6),X0) )
| ~ spl14_267
| ~ spl14_305 ),
inference(forward_demodulation,[],[f2779,f2445]) ).
fof(f2779,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_305 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f2844,plain,
( spl14_312
| ~ spl14_72
| spl14_268 ),
inference(avatar_split_clause,[],[f2462,f2458,f701,f2841]) ).
fof(f2462,plain,
( leq(sK8,sK6)
| ~ spl14_72
| spl14_268 ),
inference(resolution,[],[f2460,f702]) ).
fof(f2460,plain,
( ~ leq(sK6,sK8)
| spl14_268 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2839,plain,
( spl14_311
| ~ spl14_267
| ~ spl14_309 ),
inference(avatar_split_clause,[],[f2803,f2800,f2443,f2837]) ).
fof(f2837,plain,
( spl14_311
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK7),X0))
| ~ elem(m_Down(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_311])]) ).
fof(f2800,plain,
( spl14_309
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_309])]) ).
fof(f2803,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK7),X0))
| ~ elem(m_Down(sK8),X0) )
| ~ spl14_267
| ~ spl14_309 ),
inference(forward_demodulation,[],[f2801,f2445]) ).
fof(f2801,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_309 ),
inference(avatar_component_clause,[],[f2800]) ).
fof(f2808,plain,
( spl14_310
| ~ spl14_267
| ~ spl14_291
| ~ spl14_309 ),
inference(avatar_split_clause,[],[f2804,f2800,f2617,f2443,f2806]) ).
fof(f2617,plain,
( spl14_291
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_291])]) ).
fof(f2804,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK6),X0))
| ~ elem(m_Down(sK8),X0) )
| ~ spl14_267
| ~ spl14_291
| ~ spl14_309 ),
inference(forward_demodulation,[],[f2803,f2619]) ).
fof(f2619,plain,
( sK6 = sK7
| ~ spl14_291 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f2802,plain,
( spl14_228
| spl14_309
| ~ spl14_182 ),
inference(avatar_split_clause,[],[f1533,f1474,f2800,f1968]) ).
fof(f1968,plain,
( spl14_228
<=> leq(sK4,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_228])]) ).
fof(f1474,plain,
( spl14_182
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
fof(f1533,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK4,sK8)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_182 ),
inference(equality_resolution,[],[f1475]) ).
fof(f1475,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl14_182 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f2798,plain,
( spl14_299
| spl14_308
| ~ spl14_181 ),
inference(avatar_split_clause,[],[f1526,f1470,f2796,f2708]) ).
fof(f2708,plain,
( spl14_299
<=> leq(sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_299])]) ).
fof(f2796,plain,
( spl14_308
<=> ! [X0] :
( ~ elem(m_Down(sK9),X0)
| ~ ordered(cons(m_Halt(sK10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_308])]) ).
fof(f1470,plain,
( spl14_181
<=> ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(sK9),X7)
| leq(X6,sK9)
| ~ ordered(cons(m_Halt(X6),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f1526,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),X0)
| leq(sK10,sK9)
| ~ ordered(cons(m_Halt(sK10),X0)) )
| ~ spl14_181 ),
inference(equality_resolution,[],[f1471]) ).
fof(f1471,plain,
( ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(sK9),X7)
| leq(X6,sK9)
| ~ ordered(cons(m_Halt(X6),X7)) )
| ~ spl14_181 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f2791,plain,
( spl14_306
| spl14_307
| ~ spl14_9
| ~ spl14_180 ),
inference(avatar_split_clause,[],[f1520,f1466,f367,f2789,f2785]) ).
fof(f2785,plain,
( spl14_306
<=> leq(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_306])]) ).
fof(f2789,plain,
( spl14_307
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_307])]) ).
fof(f1466,plain,
( spl14_180
<=> ! [X4,X5] :
( host(X4) != host(sK8)
| ~ elem(m_Down(sK7),X5)
| leq(X4,sK7)
| ~ ordered(cons(m_Halt(X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
fof(f1520,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK4,sK7)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_9
| ~ spl14_180 ),
inference(trivial_inequality_removal,[],[f1512]) ).
fof(f1512,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK7),X0)
| leq(sK4,sK7)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_9
| ~ spl14_180 ),
inference(superposition,[],[f1467,f369]) ).
fof(f1467,plain,
( ! [X4,X5] :
( host(X4) != host(sK8)
| ~ elem(m_Down(sK7),X5)
| leq(X4,sK7)
| ~ ordered(cons(m_Halt(X4),X5)) )
| ~ spl14_180 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f2780,plain,
( spl14_250
| spl14_305
| ~ spl14_9
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1511,f1462,f367,f2778,f2263]) ).
fof(f2263,plain,
( spl14_250
<=> leq(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_250])]) ).
fof(f1511,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK4,sK6)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_9
| ~ spl14_179 ),
inference(trivial_inequality_removal,[],[f1503]) ).
fof(f1503,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK6),X0)
| leq(sK4,sK6)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_9
| ~ spl14_179 ),
inference(superposition,[],[f1463,f369]) ).
fof(f2736,plain,
( spl14_263
| spl14_304
| ~ spl14_4
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1509,f1462,f340,f2734,f2418]) ).
fof(f2418,plain,
( spl14_263
<=> leq(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_263])]) ).
fof(f340,plain,
( spl14_4
<=> host(sK7) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f1509,plain,
( ! [X3] :
( ~ elem(m_Down(sK6),X3)
| leq(sK7,sK6)
| ~ ordered(cons(m_Halt(sK7),X3)) )
| ~ spl14_4
| ~ spl14_179 ),
inference(trivial_inequality_removal,[],[f1506]) ).
fof(f1506,plain,
( ! [X3] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK6),X3)
| leq(sK7,sK6)
| ~ ordered(cons(m_Halt(sK7),X3)) )
| ~ spl14_4
| ~ spl14_179 ),
inference(superposition,[],[f1463,f342]) ).
fof(f342,plain,
( host(sK7) = host(sK8)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f2731,plain,
( spl14_302
| spl14_303
| ~ spl14_4
| ~ spl14_178 ),
inference(avatar_split_clause,[],[f1500,f1458,f340,f2729,f2725]) ).
fof(f2725,plain,
( spl14_302
<=> leq(sK7,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_302])]) ).
fof(f2729,plain,
( spl14_303
<=> ! [X3] :
( ~ elem(m_Down(sK4),X3)
| ~ ordered(cons(m_Halt(sK7),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_303])]) ).
fof(f1458,plain,
( spl14_178
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
fof(f1500,plain,
( ! [X3] :
( ~ elem(m_Down(sK4),X3)
| leq(sK7,sK4)
| ~ ordered(cons(m_Halt(sK7),X3)) )
| ~ spl14_4
| ~ spl14_178 ),
inference(trivial_inequality_removal,[],[f1497]) ).
fof(f1497,plain,
( ! [X3] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK4),X3)
| leq(sK7,sK4)
| ~ ordered(cons(m_Halt(sK7),X3)) )
| ~ spl14_4
| ~ spl14_178 ),
inference(superposition,[],[f1459,f342]) ).
fof(f1459,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_178 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f2723,plain,
( spl14_301
| ~ spl14_108
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1345,f1333,f868,f2721]) ).
fof(f2721,plain,
( spl14_301
<=> ! [X6,X5] :
( elem(X6,snoc(queue(host(sK8)),X5))
| ~ elem(X6,snoc(sK2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_301])]) ).
fof(f1345,plain,
( ! [X6,X5] :
( elem(X6,snoc(queue(host(sK8)),X5))
| ~ elem(X6,snoc(sK2,X5)) )
| ~ spl14_108
| ~ spl14_165 ),
inference(superposition,[],[f869,f1334]) ).
fof(f2719,plain,
( spl14_300
| ~ spl14_24
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1164,f1149,f459,f2717]) ).
fof(f2717,plain,
( spl14_300
<=> ! [X6,X5] :
( ~ elem(m_Ack(X5,X6),queue(nbr_proc))
| ~ leq(host(X6),host(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_300])]) ).
fof(f1164,plain,
( ! [X6,X5] :
( ~ elem(m_Ack(X5,X6),queue(nbr_proc))
| ~ leq(host(X6),host(X5)) )
| ~ spl14_24
| ~ spl14_140 ),
inference(superposition,[],[f460,f1151]) ).
fof(f2711,plain,
( spl14_299
| ~ spl14_72
| spl14_265 ),
inference(avatar_split_clause,[],[f2440,f2432,f701,f2708]) ).
fof(f2440,plain,
( leq(sK10,sK9)
| ~ spl14_72
| spl14_265 ),
inference(resolution,[],[f2434,f702]) ).
fof(f2434,plain,
( ~ leq(sK9,sK10)
| spl14_265 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f2704,plain,
( spl14_298
| ~ spl14_115
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1134,f1090,f932,f2702]) ).
fof(f2702,plain,
( spl14_298
<=> ! [X2] :
( ~ leq(X2,nbr_proc)
| host(sK5) = X2
| ~ leq(host(sK5),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_298])]) ).
fof(f932,plain,
( spl14_115
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
fof(f1090,plain,
( spl14_132
<=> ! [X19] :
( leq(X19,host(sK5))
| ~ leq(X19,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
fof(f1134,plain,
( ! [X2] :
( ~ leq(X2,nbr_proc)
| host(sK5) = X2
| ~ leq(host(sK5),X2) )
| ~ spl14_115
| ~ spl14_132 ),
inference(resolution,[],[f1091,f933]) ).
fof(f933,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl14_115 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1091,plain,
( ! [X19] :
( leq(X19,host(sK5))
| ~ leq(X19,nbr_proc) )
| ~ spl14_132 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f2660,plain,
( spl14_297
| ~ spl14_73
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1343,f1333,f705,f2658]) ).
fof(f2658,plain,
( spl14_297
<=> ! [X3] :
( ~ ordered(snoc(queue(host(sK8)),X3))
| ordered(snoc(sK2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_297])]) ).
fof(f1343,plain,
( ! [X3] :
( ~ ordered(snoc(queue(host(sK8)),X3))
| ordered(snoc(sK2,X3)) )
| ~ spl14_73
| ~ spl14_165 ),
inference(superposition,[],[f706,f1334]) ).
fof(f2656,plain,
( spl14_296
| ~ spl14_69
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1342,f1333,f689,f2654]) ).
fof(f2654,plain,
( spl14_296
<=> ! [X2] : snoc(sK2,X2) = tail(snoc(queue(host(sK8)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_296])]) ).
fof(f1342,plain,
( ! [X2] : snoc(sK2,X2) = tail(snoc(queue(host(sK8)),X2))
| ~ spl14_69
| ~ spl14_165 ),
inference(superposition,[],[f690,f1334]) ).
fof(f2652,plain,
( spl14_295
| ~ spl14_68
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1341,f1333,f685,f2650]) ).
fof(f2650,plain,
( spl14_295
<=> ! [X1] : m_Ack(sK3,sK5) = head(snoc(queue(host(sK8)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_295])]) ).
fof(f1341,plain,
( ! [X1] : m_Ack(sK3,sK5) = head(snoc(queue(host(sK8)),X1))
| ~ spl14_68
| ~ spl14_165 ),
inference(superposition,[],[f686,f1334]) ).
fof(f2648,plain,
( spl14_294
| ~ spl14_24
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1193,f1141,f459,f2646]) ).
fof(f1193,plain,
( ! [X4,X5] :
( ~ elem(m_Ack(X4,X5),sK2)
| ~ leq(host(X5),host(X4)) )
| ~ spl14_24
| ~ spl14_138 ),
inference(resolution,[],[f1142,f460]) ).
fof(f2643,plain,
( spl14_293
| ~ spl14_116
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1133,f1090,f936,f2641]) ).
fof(f2641,plain,
( spl14_293
<=> ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK5))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_293])]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK5))
| ~ leq(X1,X0) )
| ~ spl14_116
| ~ spl14_132 ),
inference(resolution,[],[f1091,f937]) ).
fof(f2639,plain,
( spl14_292
| ~ spl14_72
| spl14_264 ),
inference(avatar_split_clause,[],[f2429,f2425,f701,f2636]) ).
fof(f2636,plain,
( spl14_292
<=> leq(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_292])]) ).
fof(f2425,plain,
( spl14_264
<=> leq(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_264])]) ).
fof(f2429,plain,
( leq(sK8,sK7)
| ~ spl14_72
| spl14_264 ),
inference(resolution,[],[f2427,f702]) ).
fof(f2427,plain,
( ~ leq(sK7,sK8)
| spl14_264 ),
inference(avatar_component_clause,[],[f2425]) ).
fof(f2633,plain,
( spl14_291
| ~ spl14_2
| ~ spl14_9
| ~ spl14_262
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f2611,f2443,f2400,f367,f330,f2617]) ).
fof(f330,plain,
( spl14_2
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f2400,plain,
( spl14_262
<=> ! [X1] :
( host(X1) != host(sK8)
| sK6 = X1
| ~ setIn(X1,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_262])]) ).
fof(f2611,plain,
( ~ setIn(sK7,alive)
| sK6 = sK7
| ~ spl14_9
| ~ spl14_262
| ~ spl14_267 ),
inference(forward_demodulation,[],[f2610,f2445]) ).
fof(f2610,plain,
( sK6 = sK7
| ~ setIn(sK4,alive)
| ~ spl14_9
| ~ spl14_262
| ~ spl14_267 ),
inference(forward_demodulation,[],[f2609,f2445]) ).
fof(f2609,plain,
( sK4 = sK6
| ~ setIn(sK4,alive)
| ~ spl14_9
| ~ spl14_262 ),
inference(trivial_inequality_removal,[],[f2602]) ).
fof(f2602,plain,
( host(sK8) != host(sK8)
| sK4 = sK6
| ~ setIn(sK4,alive)
| ~ spl14_9
| ~ spl14_262 ),
inference(superposition,[],[f2401,f369]) ).
fof(f2401,plain,
( ! [X1] :
( host(X1) != host(sK8)
| sK6 = X1
| ~ setIn(X1,alive) )
| ~ spl14_262 ),
inference(avatar_component_clause,[],[f2400]) ).
fof(f2620,plain,
( ~ spl14_167
| spl14_291
| ~ spl14_10
| ~ spl14_173
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f2592,f2443,f1411,f372,f2617,f1353]) ).
fof(f1353,plain,
( spl14_167
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
fof(f1411,plain,
( spl14_173
<=> ! [X0] :
( host(X0) != host(sK8)
| sK4 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
fof(f2592,plain,
( sK6 = sK7
| ~ setIn(sK6,alive)
| ~ spl14_10
| ~ spl14_173
| ~ spl14_267 ),
inference(forward_demodulation,[],[f1421,f2445]) ).
fof(f1421,plain,
( sK4 = sK6
| ~ setIn(sK6,alive)
| ~ spl14_10
| ~ spl14_173 ),
inference(trivial_inequality_removal,[],[f1416]) ).
fof(f1416,plain,
( host(sK8) != host(sK8)
| sK4 = sK6
| ~ setIn(sK6,alive)
| ~ spl14_10
| ~ spl14_173 ),
inference(superposition,[],[f1412,f374]) ).
fof(f1412,plain,
( ! [X0] :
( host(X0) != host(sK8)
| sK4 = X0
| ~ setIn(X0,alive) )
| ~ spl14_173 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f2588,plain,
( spl14_290
| ~ spl14_72
| spl14_263 ),
inference(avatar_split_clause,[],[f2422,f2418,f701,f2585]) ).
fof(f2422,plain,
( leq(sK6,sK7)
| ~ spl14_72
| spl14_263 ),
inference(resolution,[],[f2420,f702]) ).
fof(f2420,plain,
( ~ leq(sK7,sK6)
| spl14_263 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2567,plain,
( spl14_289
| ~ spl14_165
| ~ spl14_189 ),
inference(avatar_split_clause,[],[f1587,f1572,f1333,f2565]) ).
fof(f2565,plain,
( spl14_289
<=> ! [X0] : elem(m_Ack(sK3,sK5),snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_289])]) ).
fof(f1587,plain,
( ! [X0] : elem(m_Ack(sK3,sK5),snoc(queue(host(sK8)),X0))
| ~ spl14_165
| ~ spl14_189 ),
inference(superposition,[],[f1573,f1334]) ).
fof(f2563,plain,
( ~ spl14_287
| ~ spl14_288
| ~ spl14_140
| ~ spl14_159 ),
inference(avatar_split_clause,[],[f1308,f1272,f1149,f2560,f2556]) ).
fof(f2556,plain,
( spl14_287
<=> elem(m_Down(sK9),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_287])]) ).
fof(f1272,plain,
( spl14_159
<=> ! [X3] :
( host(X3) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
fof(f1308,plain,
( nbr_proc != host(sK10)
| ~ elem(m_Down(sK9),queue(nbr_proc))
| ~ spl14_140
| ~ spl14_159 ),
inference(superposition,[],[f1273,f1151]) ).
fof(f1273,plain,
( ! [X3] :
( host(X3) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X3))) )
| ~ spl14_159 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f2554,plain,
( spl14_286
| ~ spl14_23
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1192,f1141,f442,f2552]) ).
fof(f442,plain,
( spl14_23
<=> ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f1192,plain,
( ! [X3] :
( ~ elem(m_Halt(X3),sK2)
| ~ leq(host(sK8),host(X3)) )
| ~ spl14_23
| ~ spl14_138 ),
inference(resolution,[],[f1142,f443]) ).
fof(f443,plain,
( ! [X21,X20] :
( ~ elem(m_Halt(X21),queue(host(X20)))
| ~ leq(host(X20),host(X21)) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f2550,plain,
( spl14_285
| ~ spl14_120
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1175,f1149,f976,f2548]) ).
fof(f2548,plain,
( spl14_285
<=> ! [X18] :
( ~ elem(m_Ack(sK5,X18),queue(nbr_proc))
| setIn(X18,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_285])]) ).
fof(f976,plain,
( spl14_120
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
fof(f1175,plain,
( ! [X18] :
( ~ elem(m_Ack(sK5,X18),queue(nbr_proc))
| setIn(X18,pids) )
| ~ spl14_120
| ~ spl14_140 ),
inference(superposition,[],[f977,f1151]) ).
fof(f977,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl14_120 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f2546,plain,
( spl14_283
| spl14_284
| ~ spl14_119
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1174,f1149,f972,f2544,f2540]) ).
fof(f2540,plain,
( spl14_283
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_283])]) ).
fof(f2544,plain,
( spl14_284
<=> ! [X17] : ~ elem(m_Ack(sK5,X17),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_284])]) ).
fof(f972,plain,
( spl14_119
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f1174,plain,
( ! [X17] :
( ~ elem(m_Ack(sK5,X17),queue(nbr_proc))
| setIn(sK5,pids) )
| ~ spl14_119
| ~ spl14_140 ),
inference(superposition,[],[f973,f1151]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl14_119 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f2538,plain,
( spl14_282
| ~ spl14_23
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1163,f1149,f442,f2536]) ).
fof(f2536,plain,
( spl14_282
<=> ! [X4] :
( ~ elem(m_Halt(X4),queue(nbr_proc))
| ~ leq(nbr_proc,host(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_282])]) ).
fof(f1163,plain,
( ! [X4] :
( ~ elem(m_Halt(X4),queue(nbr_proc))
| ~ leq(nbr_proc,host(X4)) )
| ~ spl14_23
| ~ spl14_140 ),
inference(superposition,[],[f443,f1151]) ).
fof(f2534,plain,
( spl14_281
| ~ spl14_22
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1162,f1149,f438,f2532]) ).
fof(f2532,plain,
( spl14_281
<=> ! [X3] :
( host(X3) != nbr_proc
| ~ elem(m_Down(X3),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_281])]) ).
fof(f438,plain,
( spl14_22
<=> ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f1162,plain,
( ! [X3] :
( host(X3) != nbr_proc
| ~ elem(m_Down(X3),queue(nbr_proc)) )
| ~ spl14_22
| ~ spl14_140 ),
inference(superposition,[],[f439,f1151]) ).
fof(f439,plain,
( ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f2530,plain,
( spl14_280
| ~ spl14_138
| ~ spl14_153 ),
inference(avatar_split_clause,[],[f1258,f1244,f1141,f2528]) ).
fof(f2528,plain,
( spl14_280
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_280])]) ).
fof(f1244,plain,
( spl14_153
<=> ! [X2] :
( ~ elem(m_Ack(sK7,X2),queue(host(sK8)))
| setIn(X2,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_153])]) ).
fof(f1258,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) )
| ~ spl14_138
| ~ spl14_153 ),
inference(resolution,[],[f1245,f1142]) ).
fof(f1245,plain,
( ! [X2] :
( ~ elem(m_Ack(sK7,X2),queue(host(sK8)))
| setIn(X2,pids) )
| ~ spl14_153 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f2526,plain,
( spl14_279
| ~ spl14_138
| ~ spl14_152 ),
inference(avatar_split_clause,[],[f1257,f1240,f1141,f2524]) ).
fof(f2524,plain,
( spl14_279
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK6,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_279])]) ).
fof(f1240,plain,
( spl14_152
<=> ! [X1] :
( ~ elem(m_Ack(sK6,X1),queue(host(sK8)))
| setIn(X1,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
fof(f1257,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK6,X0),sK2) )
| ~ spl14_138
| ~ spl14_152 ),
inference(resolution,[],[f1241,f1142]) ).
fof(f1241,plain,
( ! [X1] :
( ~ elem(m_Ack(sK6,X1),queue(host(sK8)))
| setIn(X1,pids) )
| ~ spl14_152 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f2521,plain,
( spl14_278
| ~ spl14_138
| ~ spl14_151 ),
inference(avatar_split_clause,[],[f1256,f1236,f1141,f2519]) ).
fof(f2519,plain,
( spl14_278
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_278])]) ).
fof(f1236,plain,
( spl14_151
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
fof(f1256,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) )
| ~ spl14_138
| ~ spl14_151 ),
inference(resolution,[],[f1237,f1142]) ).
fof(f1237,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_151 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f2509,plain,
( spl14_276
| spl14_277
| ~ spl14_119
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1190,f1141,f972,f2507,f2503]) ).
fof(f2503,plain,
( spl14_276
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_276])]) ).
fof(f2507,plain,
( spl14_277
<=> ! [X1] : ~ elem(m_Ack(sK8,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_277])]) ).
fof(f1190,plain,
( ! [X1] :
( ~ elem(m_Ack(sK8,X1),sK2)
| setIn(sK8,pids) )
| ~ spl14_119
| ~ spl14_138 ),
inference(resolution,[],[f1142,f973]) ).
fof(f2501,plain,
( spl14_275
| ~ spl14_120
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1189,f1141,f976,f2499]) ).
fof(f2499,plain,
( spl14_275
<=> ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_275])]) ).
fof(f1189,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) )
| ~ spl14_120
| ~ spl14_138 ),
inference(resolution,[],[f1142,f977]) ).
fof(f2497,plain,
( ~ spl14_273
| spl14_274
| ~ spl14_125
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1182,f1149,f1030,f2495,f2491]) ).
fof(f2491,plain,
( spl14_273
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_273])]) ).
fof(f2495,plain,
( spl14_274
<=> ! [X19] : nbr_proc != host(X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_274])]) ).
fof(f1030,plain,
( spl14_125
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
fof(f1182,plain,
( ! [X19] :
( nbr_proc != host(X19)
| nbr_proc != s(nbr_proc) )
| ~ spl14_125
| ~ spl14_140 ),
inference(inner_rewriting,[],[f1181]) ).
fof(f1181,plain,
( ! [X19] :
( host(X19) != s(nbr_proc)
| nbr_proc != s(nbr_proc) )
| ~ spl14_125
| ~ spl14_140 ),
inference(inner_rewriting,[],[f1176]) ).
fof(f1176,plain,
( ! [X19] :
( host(X19) != s(nbr_proc)
| nbr_proc != host(X19) )
| ~ spl14_125
| ~ spl14_140 ),
inference(superposition,[],[f1031,f1151]) ).
fof(f1031,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl14_125 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f2489,plain,
( spl14_272
| ~ spl14_20
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1160,f1149,f424,f2487]) ).
fof(f2487,plain,
( spl14_272
<=> ! [X1] :
( ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X1,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_272])]) ).
fof(f424,plain,
( spl14_20
<=> ! [X25,X24] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f1160,plain,
( ! [X1] :
( ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X1,alive) )
| ~ spl14_20
| ~ spl14_140 ),
inference(superposition,[],[f425,f1151]) ).
fof(f425,plain,
( ! [X24,X25] :
( ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X25,alive) )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f2481,plain,
( spl14_271
| ~ spl14_21
| ~ spl14_189 ),
inference(avatar_split_clause,[],[f1586,f1572,f428,f2478]) ).
fof(f428,plain,
( spl14_21
<=> cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f1586,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK8)))
| ~ spl14_21
| ~ spl14_189 ),
inference(superposition,[],[f1573,f430]) ).
fof(f430,plain,
( cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2476,plain,
( spl14_270
| ~ spl14_20
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1191,f1141,f424,f2474]) ).
fof(f1191,plain,
( ! [X2] :
( ~ elem(m_Down(X2),sK2)
| ~ setIn(X2,alive) )
| ~ spl14_20
| ~ spl14_138 ),
inference(resolution,[],[f1142,f425]) ).
fof(f2472,plain,
( ~ spl14_37
| spl14_269 ),
inference(avatar_contradiction_clause,[],[f2469]) ).
fof(f2469,plain,
( $false
| ~ spl14_37
| spl14_269 ),
inference(resolution,[],[f2467,f525]) ).
fof(f2467,plain,
( ~ leq(sK6,sK6)
| spl14_269 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f2465,plain,
( spl14_269
<=> leq(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_269])]) ).
fof(f2468,plain,
( ~ spl14_269
| spl14_167
| ~ spl14_10
| ~ spl14_170 ),
inference(avatar_split_clause,[],[f2397,f1374,f372,f1353,f2465]) ).
fof(f1374,plain,
( spl14_170
<=> ! [X1] :
( host(X1) != host(sK8)
| setIn(X1,alive)
| ~ leq(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f2397,plain,
( setIn(sK6,alive)
| ~ leq(sK6,sK6)
| ~ spl14_10
| ~ spl14_170 ),
inference(trivial_inequality_removal,[],[f2392]) ).
fof(f2392,plain,
( host(sK8) != host(sK8)
| setIn(sK6,alive)
| ~ leq(sK6,sK6)
| ~ spl14_10
| ~ spl14_170 ),
inference(superposition,[],[f1375,f374]) ).
fof(f1375,plain,
( ! [X1] :
( host(X1) != host(sK8)
| setIn(X1,alive)
| ~ leq(sK6,X1) )
| ~ spl14_170 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f2461,plain,
( ~ spl14_268
| spl14_27
| ~ spl14_170 ),
inference(avatar_split_clause,[],[f2395,f1374,f472,f2458]) ).
fof(f472,plain,
( spl14_27
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f2395,plain,
( setIn(sK8,alive)
| ~ leq(sK6,sK8)
| ~ spl14_170 ),
inference(equality_resolution,[],[f1375]) ).
fof(f2446,plain,
( ~ spl14_2
| spl14_267
| ~ spl14_4
| ~ spl14_173 ),
inference(avatar_split_clause,[],[f1420,f1411,f340,f2443,f330]) ).
fof(f1420,plain,
( sK4 = sK7
| ~ setIn(sK7,alive)
| ~ spl14_4
| ~ spl14_173 ),
inference(trivial_inequality_removal,[],[f1417]) ).
fof(f1417,plain,
( host(sK8) != host(sK8)
| sK4 = sK7
| ~ setIn(sK7,alive)
| ~ spl14_4
| ~ spl14_173 ),
inference(superposition,[],[f1412,f342]) ).
fof(f2439,plain,
( ~ spl14_265
| spl14_266
| ~ spl14_172 ),
inference(avatar_split_clause,[],[f1408,f1400,f2436,f2432]) ).
fof(f1400,plain,
( spl14_172
<=> ! [X3] :
( host(X3) != host(sK10)
| setIn(X3,alive)
| ~ leq(sK9,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
fof(f1408,plain,
( setIn(sK10,alive)
| ~ leq(sK9,sK10)
| ~ spl14_172 ),
inference(equality_resolution,[],[f1401]) ).
fof(f1401,plain,
( ! [X3] :
( host(X3) != host(sK10)
| setIn(X3,alive)
| ~ leq(sK9,X3) )
| ~ spl14_172 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f2428,plain,
( ~ spl14_264
| spl14_27
| ~ spl14_171 ),
inference(avatar_split_clause,[],[f1395,f1387,f472,f2425]) ).
fof(f1387,plain,
( spl14_171
<=> ! [X2] :
( host(X2) != host(sK8)
| setIn(X2,alive)
| ~ leq(sK7,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
fof(f1395,plain,
( setIn(sK8,alive)
| ~ leq(sK7,sK8)
| ~ spl14_171 ),
inference(equality_resolution,[],[f1388]) ).
fof(f1388,plain,
( ! [X2] :
( host(X2) != host(sK8)
| setIn(X2,alive)
| ~ leq(sK7,X2) )
| ~ spl14_171 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f2421,plain,
( ~ spl14_2
| ~ spl14_263
| ~ spl14_4
| ~ spl14_168 ),
inference(avatar_split_clause,[],[f1383,f1357,f340,f2418,f330]) ).
fof(f1357,plain,
( spl14_168
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ leq(X1,sK6)
| ~ setIn(X1,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_168])]) ).
fof(f1383,plain,
( ~ leq(sK7,sK6)
| ~ setIn(sK7,alive)
| ~ spl14_4
| ~ spl14_168 ),
inference(trivial_inequality_removal,[],[f1380]) ).
fof(f1380,plain,
( host(sK8) != host(sK8)
| ~ leq(sK7,sK6)
| ~ setIn(sK7,alive)
| ~ spl14_4
| ~ spl14_168 ),
inference(superposition,[],[f1358,f342]) ).
fof(f1358,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ leq(X1,sK6)
| ~ setIn(X1,alive) )
| ~ spl14_168 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f2402,plain,
( ~ spl14_167
| spl14_262
| ~ spl14_10
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f549,f536,f372,f2400,f1353]) ).
fof(f536,plain,
( spl14_40
<=> ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f549,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| sK6 = X1 )
| ~ spl14_10
| ~ spl14_40 ),
inference(superposition,[],[f537,f374]) ).
fof(f537,plain,
( ! [X14,X13] :
( host(X13) != host(X14)
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14 )
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f2389,plain,
( spl14_261
| ~ spl14_72
| spl14_250 ),
inference(avatar_split_clause,[],[f2347,f2263,f701,f2386]) ).
fof(f2347,plain,
( leq(sK6,sK4)
| ~ spl14_72
| spl14_250 ),
inference(resolution,[],[f2265,f702]) ).
fof(f2265,plain,
( ~ leq(sK4,sK6)
| spl14_250 ),
inference(avatar_component_clause,[],[f2263]) ).
fof(f2372,plain,
( spl14_260
| ~ spl14_46
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1129,f1117,f588,f2370]) ).
fof(f2370,plain,
( spl14_260
<=> ! [X4,X5,X3] :
( host(X3) != host(pidMsg(X4))
| leq(X3,pidMsg(X4))
| ~ pidElem(m_Down(X3))
| ~ pidElem(X4)
| ~ elem(m_Down(X3),X5)
| ~ sP1(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_260])]) ).
fof(f1117,plain,
( spl14_136
<=> ! [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,[spl14_136])]) ).
fof(f1129,plain,
( ! [X3,X4,X5] :
( host(X3) != host(pidMsg(X4))
| leq(X3,pidMsg(X4))
| ~ pidElem(m_Down(X3))
| ~ pidElem(X4)
| ~ elem(m_Down(X3),X5)
| ~ sP1(X4,X5) )
| ~ spl14_46
| ~ spl14_136 ),
inference(superposition,[],[f1118,f589]) ).
fof(f1118,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) )
| ~ spl14_136 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f2368,plain,
( spl14_259
| ~ spl14_45
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1128,f1117,f584,f2366]) ).
fof(f2366,plain,
( spl14_259
<=> ! [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,[spl14_259])]) ).
fof(f1128,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) )
| ~ spl14_45
| ~ spl14_136 ),
inference(superposition,[],[f1118,f585]) ).
fof(f2364,plain,
( spl14_258
| ~ spl14_46
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1127,f1117,f588,f2362]) ).
fof(f2362,plain,
( spl14_258
<=> ! [X4,X5,X3] :
( host(X3) != host(pidMsg(X4))
| leq(pidMsg(X4),X3)
| ~ pidElem(X4)
| ~ pidElem(m_Down(X3))
| ~ elem(X4,X5)
| ~ sP1(m_Down(X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_258])]) ).
fof(f1127,plain,
( ! [X3,X4,X5] :
( host(X3) != host(pidMsg(X4))
| leq(pidMsg(X4),X3)
| ~ pidElem(X4)
| ~ pidElem(m_Down(X3))
| ~ elem(X4,X5)
| ~ sP1(m_Down(X3),X5) )
| ~ spl14_46
| ~ spl14_136 ),
inference(superposition,[],[f1118,f589]) ).
fof(f2360,plain,
( spl14_257
| ~ spl14_45
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1126,f1117,f584,f2358]) ).
fof(f2358,plain,
( spl14_257
<=> ! [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,[spl14_257])]) ).
fof(f1126,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) )
| ~ spl14_45
| ~ spl14_136 ),
inference(superposition,[],[f1118,f585]) ).
fof(f2356,plain,
( spl14_256
| ~ spl14_46
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1123,f1113,f588,f2354]) ).
fof(f2354,plain,
( spl14_256
<=> ! [X4,X5,X3] :
( host(X3) != host(pidMsg(X4))
| leq(pidMsg(X4),X3)
| ~ pidElem(m_Down(X3))
| ~ pidElem(X4)
| ~ elem(m_Down(X3),X5)
| ~ sP0(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_256])]) ).
fof(f1113,plain,
( spl14_135
<=> ! [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,[spl14_135])]) ).
fof(f1123,plain,
( ! [X3,X4,X5] :
( host(X3) != host(pidMsg(X4))
| leq(pidMsg(X4),X3)
| ~ pidElem(m_Down(X3))
| ~ pidElem(X4)
| ~ elem(m_Down(X3),X5)
| ~ sP0(X4,X5) )
| ~ spl14_46
| ~ spl14_135 ),
inference(superposition,[],[f1114,f589]) ).
fof(f1114,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) )
| ~ spl14_135 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f2352,plain,
( spl14_255
| ~ spl14_45
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1122,f1113,f584,f2350]) ).
fof(f2350,plain,
( spl14_255
<=> ! [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,[spl14_255])]) ).
fof(f1122,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) )
| ~ spl14_45
| ~ spl14_135 ),
inference(superposition,[],[f1114,f585]) ).
fof(f2346,plain,
( spl14_254
| ~ spl14_46
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1121,f1113,f588,f2344]) ).
fof(f2344,plain,
( spl14_254
<=> ! [X4,X5,X3] :
( host(X3) != host(pidMsg(X4))
| leq(X3,pidMsg(X4))
| ~ pidElem(X4)
| ~ pidElem(m_Down(X3))
| ~ elem(X4,X5)
| ~ sP0(m_Down(X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_254])]) ).
fof(f1121,plain,
( ! [X3,X4,X5] :
( host(X3) != host(pidMsg(X4))
| leq(X3,pidMsg(X4))
| ~ pidElem(X4)
| ~ pidElem(m_Down(X3))
| ~ elem(X4,X5)
| ~ sP0(m_Down(X3),X5) )
| ~ spl14_46
| ~ spl14_135 ),
inference(superposition,[],[f1114,f589]) ).
fof(f2342,plain,
( spl14_253
| ~ spl14_45
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1120,f1113,f584,f2340]) ).
fof(f2340,plain,
( spl14_253
<=> ! [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,[spl14_253])]) ).
fof(f1120,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) )
| ~ spl14_45
| ~ spl14_135 ),
inference(superposition,[],[f1114,f585]) ).
fof(f2336,plain,
( spl14_252
| ~ spl14_86
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1098,f1082,f768,f2334]) ).
fof(f2334,plain,
( spl14_252
<=> ! [X2,X3] :
( sK13(X2,X3) = m_Halt(sK11(sK13(X2,X3)))
| sK13(X2,X3) = m_Down(sK11(sK13(X2,X3)))
| sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_252])]) ).
fof(f768,plain,
( spl14_86
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f1082,plain,
( spl14_130
<=> ! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
fof(f1098,plain,
( ! [X2,X3] :
( sK13(X2,X3) = m_Halt(sK11(sK13(X2,X3)))
| sK13(X2,X3) = m_Down(sK11(sK13(X2,X3)))
| sP1(X2,X3) )
| ~ spl14_86
| ~ spl14_130 ),
inference(resolution,[],[f1083,f769]) ).
fof(f769,plain,
( ! [X0,X1] :
( pidElem(sK13(X0,X1))
| sP1(X0,X1) )
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1083,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK11(X0)) = X0
| m_Down(sK11(X0)) = X0 )
| ~ spl14_130 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f2332,plain,
( spl14_251
| ~ spl14_84
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1097,f1082,f760,f2330]) ).
fof(f2330,plain,
( spl14_251
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_251])]) ).
fof(f760,plain,
( spl14_84
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f1097,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_84
| ~ spl14_130 ),
inference(resolution,[],[f1083,f761]) ).
fof(f761,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP0(X0,X1) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f2266,plain,
( ~ spl14_250
| spl14_167
| ~ spl14_10
| ~ spl14_169 ),
inference(avatar_split_clause,[],[f1371,f1361,f372,f1353,f2263]) ).
fof(f1361,plain,
( spl14_169
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
fof(f1371,plain,
( setIn(sK6,alive)
| ~ leq(sK4,sK6)
| ~ spl14_10
| ~ spl14_169 ),
inference(trivial_inequality_removal,[],[f1366]) ).
fof(f1366,plain,
( host(sK8) != host(sK8)
| setIn(sK6,alive)
| ~ leq(sK4,sK6)
| ~ spl14_10
| ~ spl14_169 ),
inference(superposition,[],[f1362,f374]) ).
fof(f1362,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK4,X0) )
| ~ spl14_169 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f2261,plain,
( spl14_249
| ~ spl14_105
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1077,f1046,f856,f2259]) ).
fof(f1046,plain,
( spl14_129
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f1077,plain,
( ! [X8,X6,X7] :
( sK13(X6,snoc(X7,X8)) = X8
| elem(sK13(X6,snoc(X7,X8)),X7)
| sP1(X6,snoc(X7,X8)) )
| ~ spl14_105
| ~ spl14_129 ),
inference(resolution,[],[f1047,f857]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f2257,plain,
( spl14_248
| ~ spl14_104
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1076,f1046,f852,f2255]) ).
fof(f1076,plain,
( ! [X3,X4,X5] :
( sK12(X3,snoc(X4,X5)) = X5
| elem(sK12(X3,snoc(X4,X5)),X4)
| sP0(X3,snoc(X4,X5)) )
| ~ spl14_104
| ~ spl14_129 ),
inference(resolution,[],[f1047,f853]) ).
fof(f2253,plain,
( spl14_247
| ~ spl14_105
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1071,f1042,f856,f2251]) ).
fof(f1071,plain,
( ! [X8,X6,X7] :
( sK13(X6,cons(X7,X8)) = X7
| elem(sK13(X6,cons(X7,X8)),X8)
| sP1(X6,cons(X7,X8)) )
| ~ spl14_105
| ~ spl14_128 ),
inference(resolution,[],[f1043,f857]) ).
fof(f2249,plain,
( spl14_246
| ~ spl14_104
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1070,f1042,f852,f2247]) ).
fof(f1070,plain,
( ! [X3,X4,X5] :
( sK12(X3,cons(X4,X5)) = X4
| elem(sK12(X3,cons(X4,X5)),X5)
| sP0(X3,cons(X4,X5)) )
| ~ spl14_104
| ~ spl14_128 ),
inference(resolution,[],[f1043,f853]) ).
fof(f2223,plain,
( spl14_245
| ~ spl14_127
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1080,f1046,f1038,f2221]) ).
fof(f1080,plain,
( ! [X6,X7,X4,X5] :
( ~ elem(X7,cons(X4,snoc(X5,X6)))
| X6 = X7
| elem(X7,cons(X4,X5)) )
| ~ spl14_127
| ~ spl14_129 ),
inference(superposition,[],[f1047,f1039]) ).
fof(f2219,plain,
( spl14_244
| ~ spl14_114
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1066,f1038,f928,f2217]) ).
fof(f928,plain,
( spl14_114
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_114])]) ).
fof(f1066,plain,
( ! [X21,X19,X20] :
( ordered(cons(X19,snoc(X20,X21)))
| ~ sP1(X21,cons(X19,X20))
| ~ ordered(cons(X19,X20)) )
| ~ spl14_114
| ~ spl14_127 ),
inference(superposition,[],[f929,f1039]) ).
fof(f929,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f2171,plain,
( spl14_243
| ~ spl14_118
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1079,f1046,f968,f2169]) ).
fof(f2169,plain,
( spl14_243
<=> ! [X2,X3] :
( ~ elem(X3,X2)
| last(X2) = X3
| elem(X3,init(X2))
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_243])]) ).
fof(f1079,plain,
( ! [X2,X3] :
( ~ elem(X3,X2)
| last(X2) = X3
| elem(X3,init(X2))
| q_nil = X2 )
| ~ spl14_118
| ~ spl14_129 ),
inference(superposition,[],[f1047,f969]) ).
fof(f2167,plain,
( spl14_242
| ~ spl14_117
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1073,f1042,f964,f2165]) ).
fof(f2165,plain,
( spl14_242
<=> ! [X2,X1] :
( ~ elem(X2,X1)
| head(X1) = X2
| elem(X2,tail(X1))
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_242])]) ).
fof(f1073,plain,
( ! [X2,X1] :
( ~ elem(X2,X1)
| head(X1) = X2
| elem(X2,tail(X1))
| q_nil = X1 )
| ~ spl14_117
| ~ spl14_128 ),
inference(superposition,[],[f1043,f965]) ).
fof(f2163,plain,
( spl14_241
| ~ spl14_117
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1059,f1038,f964,f2161]) ).
fof(f1059,plain,
( ! [X2,X1] :
( snoc(X1,X2) = cons(head(X1),snoc(tail(X1),X2))
| q_nil = X1 )
| ~ spl14_117
| ~ spl14_127 ),
inference(superposition,[],[f1039,f965]) ).
fof(f2120,plain,
( spl14_240
| ~ spl14_114
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1010,f968,f928,f2118]) ).
fof(f1010,plain,
( ! [X7] :
( ordered(X7)
| ~ sP1(last(X7),init(X7))
| ~ ordered(init(X7))
| q_nil = X7 )
| ~ spl14_114
| ~ spl14_118 ),
inference(superposition,[],[f929,f969]) ).
fof(f2116,plain,
( spl14_239
| ~ spl14_113
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1002,f964,f924,f2114]) ).
fof(f1002,plain,
( ! [X7] :
( ordered(X7)
| ~ sP0(head(X7),tail(X7))
| ~ ordered(tail(X7))
| q_nil = X7 )
| ~ spl14_113
| ~ spl14_117 ),
inference(superposition,[],[f925,f965]) ).
fof(f2112,plain,
( spl14_238
| ~ spl14_102
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f952,f932,f844,f2110]) ).
fof(f952,plain,
( ! [X10,X9] :
( s(X9) = s(X10)
| ~ leq(s(X9),s(X10))
| ~ leq(X10,X9) )
| ~ spl14_102
| ~ spl14_115 ),
inference(resolution,[],[f933,f845]) ).
fof(f2108,plain,
( spl14_237
| ~ spl14_72
| spl14_228 ),
inference(avatar_split_clause,[],[f2021,f1968,f701,f2105]) ).
fof(f2105,plain,
( spl14_237
<=> leq(sK8,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_237])]) ).
fof(f2021,plain,
( leq(sK8,sK4)
| ~ spl14_72
| spl14_228 ),
inference(resolution,[],[f1970,f702]) ).
fof(f1970,plain,
( ~ leq(sK4,sK8)
| spl14_228 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f2073,plain,
( spl14_236
| ~ spl14_106
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1068,f1038,f860,f2071]) ).
fof(f860,plain,
( spl14_106
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f1068,plain,
( ! [X28,X26,X27,X25] :
( ordered(cons(X25,snoc(X26,m_Ack(X27,X28))))
| ~ ordered(cons(X25,X26)) )
| ~ spl14_106
| ~ spl14_127 ),
inference(superposition,[],[f861,f1039]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f2069,plain,
( spl14_235
| ~ spl14_110
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1065,f1038,f876,f2067]) ).
fof(f876,plain,
( spl14_110
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
fof(f1065,plain,
( ! [X18,X16,X17,X15] :
( elem(X18,cons(X15,snoc(X16,X17)))
| ~ elem(X18,cons(X15,X16)) )
| ~ spl14_110
| ~ spl14_127 ),
inference(superposition,[],[f877,f1039]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl14_110 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f2065,plain,
( spl14_234
| ~ spl14_102
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1057,f1034,f844,f2063]) ).
fof(f1057,plain,
( ! [X8,X7] :
( s(X7) = s(X8)
| leq(s(X8),X7)
| ~ leq(X8,X7) )
| ~ spl14_102
| ~ spl14_126 ),
inference(resolution,[],[f1035,f845]) ).
fof(f1991,plain,
( spl14_233
| ~ spl14_83
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1067,f1038,f756,f1989]) ).
fof(f756,plain,
( spl14_83
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f1067,plain,
( ! [X24,X22,X23] :
( ordered(cons(X22,snoc(X23,m_Ldr(X24))))
| ~ ordered(cons(X22,X23)) )
| ~ spl14_83
| ~ spl14_127 ),
inference(superposition,[],[f757,f1039]) ).
fof(f757,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl14_83 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1987,plain,
( spl14_232
| ~ spl14_87
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1064,f1038,f772,f1985]) ).
fof(f772,plain,
( spl14_87
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f1064,plain,
( ! [X14,X12,X13] :
( ~ ordered(cons(X12,snoc(X13,X14)))
| sP1(X14,cons(X12,X13)) )
| ~ spl14_87
| ~ spl14_127 ),
inference(superposition,[],[f773,f1039]) ).
fof(f773,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f1983,plain,
( spl14_231
| ~ spl14_72
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1055,f1034,f701,f1981]) ).
fof(f1055,plain,
( ! [X3,X4] :
( s(X3) = X4
| leq(X4,X3)
| leq(s(X3),X4) )
| ~ spl14_72
| ~ spl14_126 ),
inference(resolution,[],[f1035,f702]) ).
fof(f1979,plain,
( spl14_230
| ~ spl14_46
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1026,f984,f588,f1977]) ).
fof(f984,plain,
( spl14_122
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f1026,plain,
( ! [X2,X3] :
( ~ leq(pidMsg(sK13(m_Down(X2),X3)),X2)
| sP1(m_Down(X2),X3) )
| ~ spl14_46
| ~ spl14_122 ),
inference(superposition,[],[f985,f589]) ).
fof(f985,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f1975,plain,
( spl14_229
| ~ spl14_45
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1025,f984,f584,f1973]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl14_45
| ~ spl14_122 ),
inference(superposition,[],[f985,f585]) ).
fof(f1971,plain,
( ~ spl14_228
| spl14_27
| ~ spl14_169 ),
inference(avatar_split_clause,[],[f1369,f1361,f472,f1968]) ).
fof(f1369,plain,
( setIn(sK8,alive)
| ~ leq(sK4,sK8)
| ~ spl14_169 ),
inference(equality_resolution,[],[f1362]) ).
fof(f1966,plain,
( spl14_227
| ~ spl14_46
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1022,f980,f588,f1964]) ).
fof(f1964,plain,
( spl14_227
<=> ! [X2,X3] :
( ~ leq(X2,pidMsg(sK12(m_Down(X2),X3)))
| sP0(m_Down(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_227])]) ).
fof(f980,plain,
( spl14_121
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
fof(f1022,plain,
( ! [X2,X3] :
( ~ leq(X2,pidMsg(sK12(m_Down(X2),X3)))
| sP0(m_Down(X2),X3) )
| ~ spl14_46
| ~ spl14_121 ),
inference(superposition,[],[f981,f589]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_121 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f1962,plain,
( spl14_226
| ~ spl14_45
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1021,f980,f584,f1960]) ).
fof(f1960,plain,
( spl14_226
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_226])]) ).
fof(f1021,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl14_45
| ~ spl14_121 ),
inference(superposition,[],[f981,f585]) ).
fof(f1958,plain,
( spl14_225
| ~ spl14_102
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f961,f936,f844,f1956]) ).
fof(f961,plain,
( ! [X18,X16,X17] :
( leq(X16,s(X17))
| ~ leq(X16,s(X18))
| ~ leq(X18,X17) )
| ~ spl14_102
| ~ spl14_116 ),
inference(resolution,[],[f937,f845]) ).
fof(f1954,plain,
( spl14_224
| ~ spl14_88
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f948,f932,f776,f1952]) ).
fof(f948,plain,
( ! [X6,X5] :
( s(X5) = X6
| ~ leq(s(X5),X6)
| ~ leq(X6,X5) )
| ~ spl14_88
| ~ spl14_115 ),
inference(resolution,[],[f933,f777]) ).
fof(f1882,plain,
( spl14_223
| ~ spl14_74
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1063,f1038,f709,f1880]) ).
fof(f709,plain,
( spl14_74
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f1063,plain,
( ! [X10,X11,X9] :
( ~ ordered(cons(X9,snoc(X10,X11)))
| ordered(cons(X9,X10)) )
| ~ spl14_74
| ~ spl14_127 ),
inference(superposition,[],[f710,f1039]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1878,plain,
( spl14_222
| ~ spl14_71
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1062,f1038,f697,f1876]) ).
fof(f697,plain,
( spl14_71
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f1062,plain,
( ! [X8,X6,X7] : cons(X6,X7) = init(cons(X6,snoc(X7,X8)))
| ~ spl14_71
| ~ spl14_127 ),
inference(superposition,[],[f698,f1039]) ).
fof(f698,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl14_71 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1874,plain,
( spl14_221
| ~ spl14_72
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1023,f984,f701,f1872]) ).
fof(f1023,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) )
| ~ spl14_72
| ~ spl14_122 ),
inference(resolution,[],[f985,f702]) ).
fof(f1870,plain,
( spl14_220
| ~ spl14_110
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1009,f968,f876,f1868]) ).
fof(f1009,plain,
( ! [X6,X5] :
( elem(X6,X5)
| ~ elem(X6,init(X5))
| q_nil = X5 )
| ~ spl14_110
| ~ spl14_118 ),
inference(superposition,[],[f877,f969]) ).
fof(f1866,plain,
( spl14_219
| ~ spl14_87
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1008,f968,f772,f1864]) ).
fof(f1864,plain,
( spl14_219
<=> ! [X4] :
( ~ ordered(X4)
| sP1(last(X4),init(X4))
| q_nil = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_219])]) ).
fof(f1008,plain,
( ! [X4] :
( ~ ordered(X4)
| sP1(last(X4),init(X4))
| q_nil = X4 )
| ~ spl14_87
| ~ spl14_118 ),
inference(superposition,[],[f773,f969]) ).
fof(f1862,plain,
( spl14_218
| ~ spl14_108
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1001,f964,f868,f1860]) ).
fof(f1001,plain,
( ! [X6,X5] :
( elem(X6,X5)
| ~ elem(X6,tail(X5))
| q_nil = X5 )
| ~ spl14_108
| ~ spl14_117 ),
inference(superposition,[],[f869,f965]) ).
fof(f1858,plain,
( spl14_217
| ~ spl14_85
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1000,f964,f764,f1856]) ).
fof(f1856,plain,
( spl14_217
<=> ! [X4] :
( ~ ordered(X4)
| sP0(head(X4),tail(X4))
| q_nil = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_217])]) ).
fof(f1000,plain,
( ! [X4] :
( ~ ordered(X4)
| sP0(head(X4),tail(X4))
| q_nil = X4 )
| ~ spl14_85
| ~ spl14_117 ),
inference(superposition,[],[f765,f965]) ).
fof(f1854,plain,
( ~ spl14_216
| ~ spl14_38
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1165,f1149,f528,f1851]) ).
fof(f1851,plain,
( spl14_216
<=> elem(m_Down(sK5),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_216])]) ).
fof(f528,plain,
( spl14_38
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f1165,plain,
( ~ elem(m_Down(sK5),queue(nbr_proc))
| ~ spl14_38
| ~ spl14_140 ),
inference(superposition,[],[f529,f1151]) ).
fof(f529,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f1849,plain,
( spl14_215
| ~ spl14_88
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f957,f936,f776,f1847]) ).
fof(f957,plain,
( ! [X10,X8,X9] :
( leq(X8,s(X9))
| ~ leq(X8,X10)
| ~ leq(X10,X9) )
| ~ spl14_88
| ~ spl14_116 ),
inference(resolution,[],[f937,f777]) ).
fof(f1845,plain,
( spl14_214
| ~ spl14_47
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f951,f932,f592,f1843]) ).
fof(f1843,plain,
( spl14_214
<=> ! [X8] :
( s(zero) = host(X8)
| ~ leq(host(X8),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_214])]) ).
fof(f951,plain,
( ! [X8] :
( s(zero) = host(X8)
| ~ leq(host(X8),s(zero)) )
| ~ spl14_47
| ~ spl14_115 ),
inference(resolution,[],[f933,f593]) ).
fof(f1827,plain,
( spl14_213
| ~ spl14_72
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f955,f936,f701,f1825]) ).
fof(f955,plain,
( ! [X2,X3,X4] :
( leq(X2,X3)
| ~ leq(X2,X4)
| leq(X3,X4) )
| ~ spl14_72
| ~ spl14_116 ),
inference(resolution,[],[f937,f702]) ).
fof(f1775,plain,
( spl14_212
| ~ spl14_5
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f921,f911,f345,f1773]) ).
fof(f1773,plain,
( spl14_212
<=> ! [X9,X11,X10] :
( host(X9) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X9)))
| host(X10) != host(X11)
| ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| host(X9) = host(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_212])]) ).
fof(f921,plain,
( ! [X10,X11,X9] :
( host(X9) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X9)))
| host(X10) != host(X11)
| ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| host(X9) = host(X10) )
| ~ spl14_5
| ~ spl14_112 ),
inference(superposition,[],[f912,f347]) ).
fof(f1771,plain,
( spl14_211
| ~ spl14_4
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f920,f911,f340,f1769]) ).
fof(f920,plain,
( ! [X8,X6,X7] :
( host(X6) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X7)))
| ~ elem(m_Down(X8),queue(host(X6)))
| host(X7) != host(X8)
| ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| host(X6) = host(X7) )
| ~ spl14_4
| ~ spl14_112 ),
inference(superposition,[],[f912,f342]) ).
fof(f1766,plain,
( ~ spl14_210
| ~ spl14_42
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1132,f1090,f564,f1763]) ).
fof(f1763,plain,
( spl14_210
<=> leq(s(host(sK5)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_210])]) ).
fof(f564,plain,
( spl14_42
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f1132,plain,
( ~ leq(s(host(sK5)),nbr_proc)
| ~ spl14_42
| ~ spl14_132 ),
inference(resolution,[],[f1091,f565]) ).
fof(f565,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1761,plain,
( spl14_209
| ~ spl14_10
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f919,f911,f372,f1759]) ).
fof(f919,plain,
( ! [X3,X4,X5] :
( host(X3) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X4)))
| ~ elem(m_Down(X5),queue(host(X3)))
| host(X4) != host(X5)
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) = host(X4) )
| ~ spl14_10
| ~ spl14_112 ),
inference(superposition,[],[f912,f374]) ).
fof(f1757,plain,
( spl14_208
| ~ spl14_9
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f918,f911,f367,f1755]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ 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) )
| ~ spl14_9
| ~ spl14_112 ),
inference(superposition,[],[f912,f369]) ).
fof(f1741,plain,
( ~ spl14_3
| spl14_207
| ~ spl14_5
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f917,f911,f345,f1739,f335]) ).
fof(f917,plain,
( ! [X10,X11,X9] :
( host(X9) != host(sK10)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(sK10)))
| host(X10) != host(X11)
| ~ setIn(sK9,alive)
| ~ setIn(X10,alive)
| host(X10) = host(sK10) )
| ~ spl14_5
| ~ spl14_112 ),
inference(superposition,[],[f912,f347]) ).
fof(f1725,plain,
( ~ spl14_1
| spl14_206
| ~ spl14_9
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f914,f911,f367,f1723,f325]) ).
fof(f325,plain,
( spl14_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ setIn(sK4,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK8) )
| ~ spl14_9
| ~ spl14_112 ),
inference(superposition,[],[f912,f369]) ).
fof(f1687,plain,
( spl14_205
| ~ spl14_70
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1061,f1038,f693,f1685]) ).
fof(f693,plain,
( spl14_70
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f1061,plain,
( ! [X3,X4,X5] : last(cons(X3,snoc(X4,X5))) = X5
| ~ spl14_70
| ~ spl14_127 ),
inference(superposition,[],[f694,f1039]) ).
fof(f694,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl14_70 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f1683,plain,
( spl14_204
| ~ spl14_74
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1007,f968,f709,f1681]) ).
fof(f1681,plain,
( spl14_204
<=> ! [X3] :
( ~ ordered(X3)
| ordered(init(X3))
| q_nil = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_204])]) ).
fof(f1007,plain,
( ! [X3] :
( ~ ordered(X3)
| ordered(init(X3))
| q_nil = X3 )
| ~ spl14_74
| ~ spl14_118 ),
inference(superposition,[],[f710,f969]) ).
fof(f1679,plain,
( spl14_203
| ~ spl14_73
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f999,f964,f705,f1677]) ).
fof(f1677,plain,
( spl14_203
<=> ! [X3] :
( ~ ordered(X3)
| ordered(tail(X3))
| q_nil = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_203])]) ).
fof(f999,plain,
( ! [X3] :
( ~ ordered(X3)
| ordered(tail(X3))
| q_nil = X3 )
| ~ spl14_73
| ~ spl14_117 ),
inference(superposition,[],[f706,f965]) ).
fof(f1675,plain,
( spl14_202
| ~ spl14_47
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f960,f936,f592,f1673]) ).
fof(f960,plain,
( ! [X14,X15] :
( leq(X14,host(X15))
| ~ leq(X14,s(zero)) )
| ~ spl14_47
| ~ spl14_116 ),
inference(resolution,[],[f937,f593]) ).
fof(f1668,plain,
( ~ spl14_200
| spl14_201
| ~ spl14_41
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f950,f932,f559,f1665,f1661]) ).
fof(f1665,plain,
( spl14_201
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_201])]) ).
fof(f950,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl14_41
| ~ spl14_115 ),
inference(resolution,[],[f933,f561]) ).
fof(f1659,plain,
( spl14_199
| ~ spl14_43
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f949,f932,f568,f1657]) ).
fof(f1657,plain,
( spl14_199
<=> ! [X7] :
( nbr_proc = host(X7)
| ~ leq(nbr_proc,host(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_199])]) ).
fof(f949,plain,
( ! [X7] :
( nbr_proc = host(X7)
| ~ leq(nbr_proc,host(X7)) )
| ~ spl14_43
| ~ spl14_115 ),
inference(resolution,[],[f933,f569]) ).
fof(f1655,plain,
( spl14_198
| ~ spl14_72
| ~ spl14_103 ),
inference(avatar_split_clause,[],[f899,f848,f701,f1653]) ).
fof(f899,plain,
( ! [X6,X5] :
( leq(X5,X6)
| leq(s(X6),s(X5)) )
| ~ spl14_72
| ~ spl14_103 ),
inference(resolution,[],[f849,f702]) ).
fof(f1624,plain,
( spl14_197
| ~ spl14_41
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f959,f936,f559,f1622]) ).
fof(f959,plain,
( ! [X13] :
( leq(X13,nbr_proc)
| ~ leq(X13,s(zero)) )
| ~ spl14_41
| ~ spl14_116 ),
inference(resolution,[],[f937,f561]) ).
fof(f1620,plain,
( spl14_196
| ~ spl14_43
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f958,f936,f568,f1618]) ).
fof(f958,plain,
( ! [X11,X12] :
( leq(X11,nbr_proc)
| ~ leq(X11,host(X12)) )
| ~ spl14_43
| ~ spl14_116 ),
inference(resolution,[],[f937,f569]) ).
fof(f1616,plain,
( spl14_195
| ~ spl14_87
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f903,f860,f772,f1614]) ).
fof(f1614,plain,
( spl14_195
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_195])]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl14_87
| ~ spl14_106 ),
inference(resolution,[],[f861,f773]) ).
fof(f1612,plain,
( spl14_194
| ~ spl14_88
| ~ spl14_103 ),
inference(avatar_split_clause,[],[f897,f848,f776,f1610]) ).
fof(f897,plain,
( ! [X2,X3] :
( leq(X2,X3)
| ~ leq(s(X2),X3) )
| ~ spl14_88
| ~ spl14_103 ),
inference(resolution,[],[f849,f777]) ).
fof(f1604,plain,
( spl14_193
| ~ spl14_83
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f796,f772,f756,f1602]) ).
fof(f1602,plain,
( spl14_193
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
fof(f796,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl14_83
| ~ spl14_87 ),
inference(resolution,[],[f773,f757]) ).
fof(f1600,plain,
( spl14_192
| ~ spl14_70
| ~ spl14_82 ),
inference(avatar_split_clause,[],[f781,f752,f693,f1598]) ).
fof(f1598,plain,
( spl14_192
<=> ! [X2] : last(cons(X2,q_nil)) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
fof(f781,plain,
( ! [X2] : last(cons(X2,q_nil)) = X2
| ~ spl14_70
| ~ spl14_82 ),
inference(superposition,[],[f694,f753]) ).
fof(f1596,plain,
( spl14_191
| ~ spl14_71
| ~ spl14_82 ),
inference(avatar_split_clause,[],[f780,f752,f697,f1594]) ).
fof(f1594,plain,
( spl14_191
<=> ! [X1] : q_nil = init(cons(X1,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
fof(f780,plain,
( ! [X1] : q_nil = init(cons(X1,q_nil))
| ~ spl14_71
| ~ spl14_82 ),
inference(superposition,[],[f698,f753]) ).
fof(f1578,plain,
( spl14_190
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f908,f872,f1576]) ).
fof(f872,plain,
( spl14_109
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
fof(f908,plain,
( ! [X0,X1] : elem(X0,snoc(X1,X0))
| ~ spl14_109 ),
inference(equality_resolution,[],[f873]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( X0 != X1
| elem(X0,snoc(X2,X1)) )
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f1574,plain,
( spl14_189
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f906,f864,f1572]) ).
fof(f864,plain,
( spl14_107
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f906,plain,
( ! [X0,X1] : elem(X0,cons(X0,X1))
| ~ spl14_107 ),
inference(equality_resolution,[],[f865]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) )
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1570,plain,
( ~ spl14_188
| spl14_64
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1187,f1141,f666,f1567]) ).
fof(f1567,plain,
( spl14_188
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
fof(f666,plain,
( spl14_64
<=> elem(m_Down(sK7),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f1187,plain,
( ~ elem(m_Down(sK7),sK2)
| spl14_64
| ~ spl14_138 ),
inference(resolution,[],[f1142,f668]) ).
fof(f668,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| spl14_64 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1565,plain,
( spl14_187
| ~ spl14_42
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f798,f776,f564,f1563]) ).
fof(f798,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_42
| ~ spl14_88 ),
inference(resolution,[],[f777,f565]) ).
fof(f1493,plain,
( spl14_186
| ~ spl14_5
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1110,f1100,f345,f1491]) ).
fof(f1110,plain,
( ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(X6),X7)
| leq(sK9,X6)
| ~ ordered(cons(m_Halt(sK9),X7)) )
| ~ spl14_5
| ~ spl14_134 ),
inference(superposition,[],[f1101,f347]) ).
fof(f1489,plain,
( ~ spl14_185
| spl14_62
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1186,f1141,f653,f1486]) ).
fof(f1486,plain,
( spl14_185
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
fof(f653,plain,
( spl14_62
<=> elem(m_Down(sK6),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f1186,plain,
( ~ elem(m_Down(sK6),sK2)
| spl14_62
| ~ spl14_138 ),
inference(resolution,[],[f1142,f655]) ).
fof(f655,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| spl14_62 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1484,plain,
( spl14_184
| ~ spl14_4
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1109,f1100,f340,f1482]) ).
fof(f1482,plain,
( spl14_184
<=> ! [X4,X5] :
( host(X4) != host(sK8)
| ~ elem(m_Down(X4),X5)
| leq(sK7,X4)
| ~ ordered(cons(m_Halt(sK7),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
fof(f1109,plain,
( ! [X4,X5] :
( host(X4) != host(sK8)
| ~ elem(m_Down(X4),X5)
| leq(sK7,X4)
| ~ ordered(cons(m_Halt(sK7),X5)) )
| ~ spl14_4
| ~ spl14_134 ),
inference(superposition,[],[f1101,f342]) ).
fof(f1480,plain,
( spl14_183
| ~ spl14_10
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1108,f1100,f372,f1478]) ).
fof(f1108,plain,
( ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(X2),X3)
| leq(sK6,X2)
| ~ ordered(cons(m_Halt(sK6),X3)) )
| ~ spl14_10
| ~ spl14_134 ),
inference(superposition,[],[f1101,f374]) ).
fof(f1476,plain,
( spl14_182
| ~ spl14_9
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1107,f1100,f367,f1474]) ).
fof(f1107,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl14_9
| ~ spl14_134 ),
inference(superposition,[],[f1101,f369]) ).
fof(f1472,plain,
( spl14_181
| ~ spl14_5
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1106,f1100,f345,f1470]) ).
fof(f1106,plain,
( ! [X6,X7] :
( host(X6) != host(sK10)
| ~ elem(m_Down(sK9),X7)
| leq(X6,sK9)
| ~ ordered(cons(m_Halt(X6),X7)) )
| ~ spl14_5
| ~ spl14_134 ),
inference(superposition,[],[f1101,f347]) ).
fof(f1468,plain,
( spl14_180
| ~ spl14_4
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1105,f1100,f340,f1466]) ).
fof(f1105,plain,
( ! [X4,X5] :
( host(X4) != host(sK8)
| ~ elem(m_Down(sK7),X5)
| leq(X4,sK7)
| ~ ordered(cons(m_Halt(X4),X5)) )
| ~ spl14_4
| ~ spl14_134 ),
inference(superposition,[],[f1101,f342]) ).
fof(f1464,plain,
( spl14_179
| ~ spl14_10
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1104,f1100,f372,f1462]) ).
fof(f1104,plain,
( ! [X2,X3] :
( host(X2) != host(sK8)
| ~ elem(m_Down(sK6),X3)
| leq(X2,sK6)
| ~ ordered(cons(m_Halt(X2),X3)) )
| ~ spl14_10
| ~ spl14_134 ),
inference(superposition,[],[f1101,f374]) ).
fof(f1460,plain,
( spl14_178
| ~ spl14_9
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1103,f1100,f367,f1458]) ).
fof(f1103,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_9
| ~ spl14_134 ),
inference(superposition,[],[f1101,f369]) ).
fof(f1452,plain,
( spl14_177
| ~ spl14_42
| ~ spl14_72 ),
inference(avatar_split_clause,[],[f740,f701,f564,f1450]) ).
fof(f740,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl14_42
| ~ spl14_72 ),
inference(resolution,[],[f702,f565]) ).
fof(f1442,plain,
( ~ spl14_176
| spl14_51
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1185,f1141,f608,f1439]) ).
fof(f1439,plain,
( spl14_176
<=> elem(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_176])]) ).
fof(f608,plain,
( spl14_51
<=> elem(m_Down(sK4),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f1185,plain,
( ~ elem(m_Down(sK4),sK2)
| spl14_51
| ~ spl14_138 ),
inference(resolution,[],[f1142,f610]) ).
fof(f610,plain,
( ~ elem(m_Down(sK4),queue(host(sK8)))
| spl14_51 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f1437,plain,
( ~ spl14_3
| spl14_175
| ~ spl14_5
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f551,f536,f345,f1435,f335]) ).
fof(f1435,plain,
( spl14_175
<=> ! [X3] :
( host(X3) != host(sK10)
| sK9 = X3
| ~ setIn(X3,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
fof(f551,plain,
( ! [X3] :
( host(X3) != host(sK10)
| ~ setIn(sK9,alive)
| ~ setIn(X3,alive)
| sK9 = X3 )
| ~ spl14_5
| ~ spl14_40 ),
inference(superposition,[],[f537,f347]) ).
fof(f1425,plain,
( ~ spl14_2
| spl14_174
| ~ spl14_4
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f550,f536,f340,f1423,f330]) ).
fof(f1423,plain,
( spl14_174
<=> ! [X2] :
( host(X2) != host(sK8)
| sK7 = X2
| ~ setIn(X2,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
fof(f550,plain,
( ! [X2] :
( host(X2) != host(sK8)
| ~ setIn(sK7,alive)
| ~ setIn(X2,alive)
| sK7 = X2 )
| ~ spl14_4
| ~ spl14_40 ),
inference(superposition,[],[f537,f342]) ).
fof(f1413,plain,
( ~ spl14_1
| spl14_173
| ~ spl14_9
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f548,f536,f367,f1411,f325]) ).
fof(f548,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| sK4 = X0 )
| ~ spl14_9
| ~ spl14_40 ),
inference(superposition,[],[f537,f369]) ).
fof(f1402,plain,
( ~ spl14_3
| spl14_172
| ~ spl14_5
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f546,f532,f345,f1400,f335]) ).
fof(f546,plain,
( ! [X3] :
( host(X3) != host(sK10)
| ~ setIn(sK9,alive)
| ~ leq(sK9,X3)
| setIn(X3,alive) )
| ~ spl14_5
| ~ spl14_39 ),
inference(superposition,[],[f533,f347]) ).
fof(f1389,plain,
( ~ spl14_2
| spl14_171
| ~ spl14_4
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f545,f532,f340,f1387,f330]) ).
fof(f545,plain,
( ! [X2] :
( host(X2) != host(sK8)
| ~ setIn(sK7,alive)
| ~ leq(sK7,X2)
| setIn(X2,alive) )
| ~ spl14_4
| ~ spl14_39 ),
inference(superposition,[],[f533,f342]) ).
fof(f1376,plain,
( ~ spl14_167
| spl14_170
| ~ spl14_10
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f544,f532,f372,f1374,f1353]) ).
fof(f544,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ setIn(sK6,alive)
| ~ leq(sK6,X1)
| setIn(X1,alive) )
| ~ spl14_10
| ~ spl14_39 ),
inference(superposition,[],[f533,f374]) ).
fof(f1363,plain,
( ~ spl14_1
| spl14_169
| ~ spl14_9
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f543,f532,f367,f1361,f325]) ).
fof(f543,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK4,alive)
| ~ leq(sK4,X0)
| setIn(X0,alive) )
| ~ spl14_9
| ~ spl14_39 ),
inference(superposition,[],[f533,f369]) ).
fof(f1359,plain,
( spl14_167
| spl14_168
| ~ spl14_10
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f540,f532,f372,f1357,f1353]) ).
fof(f540,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ leq(X1,sK6)
| setIn(sK6,alive) )
| ~ spl14_10
| ~ spl14_39 ),
inference(superposition,[],[f533,f374]) ).
fof(f1339,plain,
( spl14_166
| ~ spl14_21
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1072,f1042,f428,f1337]) ).
fof(f1072,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_21
| ~ spl14_128 ),
inference(superposition,[],[f1043,f430]) ).
fof(f1335,plain,
( spl14_165
| ~ spl14_21
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1058,f1038,f428,f1333]) ).
fof(f1058,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl14_21
| ~ spl14_127 ),
inference(superposition,[],[f1039,f430]) ).
fof(f1329,plain,
( spl14_164
| ~ spl14_35
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f902,f856,f516,f1327]) ).
fof(f1327,plain,
( spl14_164
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
fof(f902,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl14_35
| ~ spl14_105 ),
inference(resolution,[],[f857,f517]) ).
fof(f1325,plain,
( spl14_163
| ~ spl14_44
| ~ spl14_85 ),
inference(avatar_split_clause,[],[f785,f764,f572,f1323]) ).
fof(f1323,plain,
( spl14_163
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
fof(f572,plain,
( spl14_44
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f785,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl14_44
| ~ spl14_85 ),
inference(resolution,[],[f765,f573]) ).
fof(f573,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1321,plain,
( spl14_162
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f737,f676,f1319]) ).
fof(f676,plain,
( spl14_66
<=> ! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f737,plain,
( ! [X0] : pidElem(m_Down(X0))
| ~ spl14_66 ),
inference(equality_resolution,[],[f677]) ).
fof(f677,plain,
( ! [X0,X1] :
( m_Down(X1) != X0
| pidElem(X0) )
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1317,plain,
( spl14_161
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f736,f672,f1315]) ).
fof(f1315,plain,
( spl14_161
<=> ! [X0] : pidElem(m_Halt(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f672,plain,
( spl14_65
<=> ! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f736,plain,
( ! [X0] : pidElem(m_Halt(X0))
| ~ spl14_65 ),
inference(equality_resolution,[],[f673]) ).
fof(f673,plain,
( ! [X0,X1] :
( m_Halt(X1) != X0
| pidElem(X0) )
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1297,plain,
( ~ spl14_160
| ~ spl14_38
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1188,f1141,f528,f1294]) ).
fof(f1294,plain,
( spl14_160
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
fof(f1188,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl14_38
| ~ spl14_138 ),
inference(resolution,[],[f1142,f529]) ).
fof(f1274,plain,
( spl14_159
| ~ spl14_5
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f448,f438,f345,f1272]) ).
fof(f448,plain,
( ! [X3] :
( host(X3) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X3))) )
| ~ spl14_5
| ~ spl14_22 ),
inference(superposition,[],[f439,f347]) ).
fof(f1270,plain,
( spl14_158
| ~ spl14_4
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f447,f438,f340,f1268]) ).
fof(f1268,plain,
( spl14_158
<=> ! [X2] :
( host(X2) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
fof(f447,plain,
( ! [X2] :
( host(X2) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X2))) )
| ~ spl14_4
| ~ spl14_22 ),
inference(superposition,[],[f439,f342]) ).
fof(f1266,plain,
( spl14_157
| ~ spl14_10
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f446,f438,f372,f1264]) ).
fof(f1264,plain,
( spl14_157
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_157])]) ).
fof(f446,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X1))) )
| ~ spl14_10
| ~ spl14_22 ),
inference(superposition,[],[f439,f374]) ).
fof(f1262,plain,
( spl14_156
| ~ spl14_9
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f445,f438,f367,f1260]) ).
fof(f1260,plain,
( spl14_156
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
fof(f445,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl14_9
| ~ spl14_22 ),
inference(superposition,[],[f439,f369]) ).
fof(f1255,plain,
( ~ spl14_155
| spl14_25
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1158,f1149,f463,f1252]) ).
fof(f463,plain,
( spl14_25
<=> host(sK5) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f1158,plain,
( nbr_proc != host(sK8)
| spl14_25
| ~ spl14_140 ),
inference(superposition,[],[f464,f1151]) ).
fof(f464,plain,
( host(sK5) != host(sK8)
| spl14_25 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f1250,plain,
( spl14_154
| ~ spl14_5
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1018,f976,f345,f1248]) ).
fof(f1248,plain,
( spl14_154
<=> ! [X3] :
( ~ elem(m_Ack(sK9,X3),queue(host(sK10)))
| setIn(X3,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
fof(f1018,plain,
( ! [X3] :
( ~ elem(m_Ack(sK9,X3),queue(host(sK10)))
| setIn(X3,pids) )
| ~ spl14_5
| ~ spl14_120 ),
inference(superposition,[],[f977,f347]) ).
fof(f1246,plain,
( spl14_153
| ~ spl14_4
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1017,f976,f340,f1244]) ).
fof(f1017,plain,
( ! [X2] :
( ~ elem(m_Ack(sK7,X2),queue(host(sK8)))
| setIn(X2,pids) )
| ~ spl14_4
| ~ spl14_120 ),
inference(superposition,[],[f977,f342]) ).
fof(f1242,plain,
( spl14_152
| ~ spl14_10
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1016,f976,f372,f1240]) ).
fof(f1016,plain,
( ! [X1] :
( ~ elem(m_Ack(sK6,X1),queue(host(sK8)))
| setIn(X1,pids) )
| ~ spl14_10
| ~ spl14_120 ),
inference(superposition,[],[f977,f374]) ).
fof(f1238,plain,
( spl14_151
| ~ spl14_9
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1015,f976,f367,f1236]) ).
fof(f1015,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_9
| ~ spl14_120 ),
inference(superposition,[],[f977,f369]) ).
fof(f1234,plain,
( spl14_149
| spl14_150
| ~ spl14_5
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1014,f972,f345,f1232,f1228]) ).
fof(f1228,plain,
( spl14_149
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f1232,plain,
( spl14_150
<=> ! [X3] : ~ elem(m_Ack(sK9,X3),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f1014,plain,
( ! [X3] :
( ~ elem(m_Ack(sK9,X3),queue(host(sK10)))
| setIn(sK9,pids) )
| ~ spl14_5
| ~ spl14_119 ),
inference(superposition,[],[f973,f347]) ).
fof(f1226,plain,
( spl14_147
| spl14_148
| ~ spl14_4
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1013,f972,f340,f1224,f1220]) ).
fof(f1220,plain,
( spl14_147
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
fof(f1224,plain,
( spl14_148
<=> ! [X2] : ~ elem(m_Ack(sK7,X2),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
fof(f1013,plain,
( ! [X2] :
( ~ elem(m_Ack(sK7,X2),queue(host(sK8)))
| setIn(sK7,pids) )
| ~ spl14_4
| ~ spl14_119 ),
inference(superposition,[],[f973,f342]) ).
fof(f1218,plain,
( spl14_145
| spl14_146
| ~ spl14_10
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1012,f972,f372,f1216,f1212]) ).
fof(f1212,plain,
( spl14_145
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
fof(f1216,plain,
( spl14_146
<=> ! [X1] : ~ elem(m_Ack(sK6,X1),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
fof(f1012,plain,
( ! [X1] :
( ~ elem(m_Ack(sK6,X1),queue(host(sK8)))
| setIn(sK6,pids) )
| ~ spl14_10
| ~ spl14_119 ),
inference(superposition,[],[f973,f374]) ).
fof(f1210,plain,
( spl14_143
| spl14_144
| ~ spl14_9
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1011,f972,f367,f1208,f1204]) ).
fof(f1204,plain,
( spl14_143
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
fof(f1208,plain,
( spl14_144
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f1011,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(sK4,pids) )
| ~ spl14_9
| ~ spl14_119 ),
inference(superposition,[],[f973,f369]) ).
fof(f1202,plain,
( spl14_141
| spl14_142
| ~ spl14_17
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1075,f1046,f409,f1199,f1195]) ).
fof(f409,plain,
( spl14_17
<=> elem(m_Down(sK10),snoc(sK2,m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f1075,plain,
( m_Ldr(sK4) = m_Down(sK10)
| elem(m_Down(sK10),sK2)
| ~ spl14_17
| ~ spl14_129 ),
inference(resolution,[],[f1047,f411]) ).
fof(f411,plain,
( elem(m_Down(sK10),snoc(sK2,m_Ldr(sK4)))
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f1156,plain,
( ~ spl14_43
| spl14_139 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| ~ spl14_43
| spl14_139 ),
inference(resolution,[],[f1147,f569]) ).
fof(f1147,plain,
( ~ leq(host(sK5),nbr_proc)
| spl14_139 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1145,plain,
( spl14_139
<=> leq(host(sK5),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
fof(f1152,plain,
( ~ spl14_139
| spl14_140
| ~ spl14_13
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f953,f932,f389,f1149,f1145]) ).
fof(f389,plain,
( spl14_13
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f953,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc)
| ~ spl14_13
| ~ spl14_115 ),
inference(resolution,[],[f933,f391]) ).
fof(f391,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1143,plain,
( spl14_138
| ~ spl14_21
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f907,f868,f428,f1141]) ).
fof(f907,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl14_21
| ~ spl14_108 ),
inference(superposition,[],[f869,f430]) ).
fof(f1139,plain,
( spl14_137
| ~ spl14_21
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f738,f685,f428,f1136]) ).
fof(f1136,plain,
( spl14_137
<=> m_Ack(sK3,sK5) = head(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f738,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK8)))
| ~ spl14_21
| ~ spl14_68 ),
inference(superposition,[],[f686,f430]) ).
fof(f1119,plain,
spl14_136,
inference(avatar_split_clause,[],[f277,f1117]) ).
fof(f277,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,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(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,[sK13])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f170,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,[],[f169]) ).
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) ) )
& ( ! [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(f1115,plain,
spl14_135,
inference(avatar_split_clause,[],[f268,f1113]) ).
fof(f268,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,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(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,[sK12])],[f164,f165]) ).
fof(f165,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(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f164,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,[],[f163]) ).
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) ) )
& ( ! [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(f1102,plain,
spl14_134,
inference(avatar_split_clause,[],[f300,f1100]) ).
fof(f300,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_57) ).
fof(f1096,plain,
spl14_133,
inference(avatar_split_clause,[],[f281,f1094]) ).
fof(f1094,plain,
( spl14_133
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1092,plain,
( spl14_132
| ~ spl14_13
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f962,f936,f389,f1090]) ).
fof(f962,plain,
( ! [X19] :
( leq(X19,host(sK5))
| ~ leq(X19,nbr_proc) )
| ~ spl14_13
| ~ spl14_116 ),
inference(resolution,[],[f937,f391]) ).
fof(f1088,plain,
spl14_131,
inference(avatar_split_clause,[],[f272,f1086]) ).
fof(f1086,plain,
( spl14_131
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1084,plain,
spl14_130,
inference(avatar_split_clause,[],[f231,f1082]) ).
fof(f231,plain,
! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f154,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,[],[f153]) ).
fof(f153,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_48) ).
fof(f1048,plain,
spl14_129,
inference(avatar_split_clause,[],[f304,f1046]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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,[],[f181]) ).
fof(f181,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,[],[f122]) ).
fof(f122,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_47) ).
fof(f1044,plain,
spl14_128,
inference(avatar_split_clause,[],[f301,f1042]) ).
fof(f301,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[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(flattening,[],[f179]) ).
fof(f179,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,[],[f121]) ).
fof(f121,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_46) ).
fof(f1040,plain,
spl14_127,
inference(avatar_split_clause,[],[f297,f1038]) ).
fof(f297,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_44) ).
fof(f1036,plain,
spl14_126,
inference(avatar_split_clause,[],[f286,f1034]) ).
fof(f286,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,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,[],[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(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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_64) ).
fof(f1032,plain,
spl14_125,
inference(avatar_split_clause,[],[f253,f1030]) ).
fof(f253,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_01) ).
fof(f994,plain,
spl14_124,
inference(avatar_split_clause,[],[f308,f992]) ).
fof(f992,plain,
( spl14_124
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_32) ).
fof(f990,plain,
spl14_123,
inference(avatar_split_clause,[],[f307,f988]) ).
fof(f988,plain,
( spl14_123
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_31) ).
fof(f986,plain,
spl14_122,
inference(avatar_split_clause,[],[f282,f984]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f982,plain,
spl14_121,
inference(avatar_split_clause,[],[f273,f980]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f978,plain,
spl14_120,
inference(avatar_split_clause,[],[f255,f976]) ).
fof(f255,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom) ).
fof(f974,plain,
spl14_119,
inference(avatar_split_clause,[],[f254,f972]) ).
fof(f254,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f970,plain,
spl14_118,
inference(avatar_split_clause,[],[f230,f968]) ).
fof(f230,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_40) ).
fof(f966,plain,
spl14_117,
inference(avatar_split_clause,[],[f229,f964]) ).
fof(f229,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_39) ).
fof(f938,plain,
spl14_116,
inference(avatar_split_clause,[],[f299,f936]) ).
fof(f299,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_62) ).
fof(f934,plain,
spl14_115,
inference(avatar_split_clause,[],[f289,f932]) ).
fof(f289,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f177]) ).
fof(f177,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_61) ).
fof(f930,plain,
spl14_114,
inference(avatar_split_clause,[],[f285,f928]) ).
fof(f285,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[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(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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_54) ).
fof(f926,plain,
spl14_113,
inference(avatar_split_clause,[],[f276,f924]) ).
fof(f276,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[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(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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_53) ).
fof(f913,plain,
spl14_112,
inference(avatar_split_clause,[],[f190,f911]) ).
fof(f190,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( elem(m_Down(sK10),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(sK8),queue(host(sK9)))
& host(sK9) = host(sK10)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9)
& host(sK4) != host(sK9)
& host(sK6) != host(sK9)
& host(sK4) = host(sK7)
& host(sK6) = host(sK7)
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| 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,sK10])],[f146,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7] :
( ? [X8] :
( elem(m_Down(X8),snoc(X0,m_Ldr(X2)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X2) != host(X7)
& host(X4) != host(X7) )
& host(X2) = host(X5)
& host(X4) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| 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] :
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X4) != host(X7) )
& host(X5) = host(sK4)
& host(X4) = host(X5) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| 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] :
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X4) != host(X7) )
& host(X5) = host(sK4)
& host(X4) = host(X5) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
=> ( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X7) != host(sK6) )
& host(X5) = host(sK4)
& host(X5) = host(sK6) )
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X7) != host(sK6) )
& host(X5) = host(sK4)
& host(X5) = host(sK6) )
=> ( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X6) = host(sK7)
& setIn(X7,alive)
& setIn(sK7,alive)
& host(X7) != host(sK7) )
& host(X7) != host(sK4)
& host(X7) != host(sK6) )
& host(sK4) = host(sK7)
& host(sK6) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X6) = host(sK7)
& setIn(X7,alive)
& setIn(sK7,alive)
& host(X7) != host(sK7) )
& host(X7) != host(sK4)
& host(X7) != host(sK6) )
=> ( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(sK8),queue(host(sK9)))
& host(X8) = host(sK9)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) )
& host(sK4) != host(sK9)
& host(sK6) != host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X8] :
( elem(m_Down(X8),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(sK8),queue(host(sK9)))
& host(X8) = host(sK9)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) )
=> ( elem(m_Down(sK10),snoc(sK2,m_Ldr(sK4)))
& elem(m_Down(sK8),queue(host(sK9)))
& host(sK9) = host(sK10)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7] :
( ? [X8] :
( elem(m_Down(X8),snoc(X0,m_Ldr(X2)))
& elem(m_Down(X6),queue(host(X7)))
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X2) != host(X7)
& host(X4) != host(X7) )
& host(X2) = host(X5)
& host(X4) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| 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] :
( ? [X23] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
& elem(m_Down(X25),queue(host(X26)))
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) != host(X26)
& host(X23) != host(X26) )
& host(X2) = host(X24)
& host(X23) = host(X24) )
& ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,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(X18) != host(X17)
| ~ 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] :
( ? [X23] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
& elem(m_Down(X25),queue(host(X26)))
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) != host(X26)
& host(X23) != host(X26) )
& host(X2) = host(X24)
& host(X23) = host(X24) )
& ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,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(X18) != host(X17)
| ~ 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_Ack(X1,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(X18) != host(X17) )
& ! [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)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X23] :
( ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) )
=> ! [X24] :
( host(X23) = host(X24)
=> ( host(X2) = host(X24)
=> ! [X25,X26] :
( host(X23) != host(X26)
=> ( host(X2) != host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
=> ~ ( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
& elem(m_Down(X25),queue(host(X26))) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,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)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X6) = host(X16)
=> ( host(X4) = host(X16)
=> ! [X17,X18] :
( host(X6) != host(X18)
=> ( host(X4) != host(X18)
=> ! [X19] :
( ( host(X18) = host(X19)
& host(X16) = host(X17)
& setIn(X18,alive)
& setIn(X16,alive)
& host(X16) != host(X18) )
=> ~ ( elem(m_Down(X19),snoc(X11,m_Ldr(X4)))
& elem(m_Down(X17),queue(host(X18))) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,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)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X6) = host(X16)
=> ( host(X4) = host(X16)
=> ! [X17,X18] :
( host(X6) != host(X18)
=> ( host(X4) != host(X18)
=> ! [X19] :
( ( host(X18) = host(X19)
& host(X16) = host(X17)
& setIn(X18,alive)
& setIn(X16,alive)
& host(X16) != host(X18) )
=> ~ ( elem(m_Down(X19),snoc(X11,m_Ldr(X4)))
& elem(m_Down(X17),queue(host(X18))) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',conj) ).
fof(f891,plain,
( ~ spl14_111
| ~ spl14_5
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f578,f528,f345,f888]) ).
fof(f888,plain,
( spl14_111
<=> elem(m_Down(sK9),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
fof(f578,plain,
( ~ elem(m_Down(sK9),queue(host(sK10)))
| ~ spl14_5
| ~ spl14_38 ),
inference(superposition,[],[f529,f347]) ).
fof(f878,plain,
spl14_110,
inference(avatar_split_clause,[],[f306,f876]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f874,plain,
spl14_109,
inference(avatar_split_clause,[],[f305,f872]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f870,plain,
spl14_108,
inference(avatar_split_clause,[],[f303,f868]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f866,plain,
spl14_107,
inference(avatar_split_clause,[],[f302,f864]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f862,plain,
spl14_106,
inference(avatar_split_clause,[],[f298,f860]) ).
fof(f298,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_55) ).
fof(f858,plain,
spl14_105,
inference(avatar_split_clause,[],[f278,f856]) ).
fof(f278,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f854,plain,
spl14_104,
inference(avatar_split_clause,[],[f269,f852]) ).
fof(f269,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f850,plain,
spl14_103,
inference(avatar_split_clause,[],[f267,f848]) ).
fof(f267,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_63) ).
fof(f846,plain,
spl14_102,
inference(avatar_split_clause,[],[f266,f844]) ).
fof(f266,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f842,plain,
spl14_101,
inference(avatar_split_clause,[],[f265,f840]) ).
fof(f840,plain,
( spl14_101
<=> ! [X0,X1] :
( X0 != X1
| m_Down(X0) = m_Down(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
fof(f265,plain,
! [X0,X1] :
( X0 != X1
| m_Down(X0) = m_Down(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_30) ).
fof(f838,plain,
spl14_100,
inference(avatar_split_clause,[],[f264,f836]) ).
fof(f836,plain,
( spl14_100
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).
fof(f264,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f834,plain,
spl14_99,
inference(avatar_split_clause,[],[f263,f832]) ).
fof(f832,plain,
( spl14_99
<=> ! [X0,X1] :
( X0 != X1
| m_Halt(X0) = m_Halt(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
fof(f263,plain,
! [X0,X1] :
( X0 != X1
| m_Halt(X0) = m_Halt(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_26) ).
fof(f830,plain,
spl14_98,
inference(avatar_split_clause,[],[f262,f828]) ).
fof(f828,plain,
( spl14_98
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f262,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f826,plain,
spl14_97,
inference(avatar_split_clause,[],[f261,f824]) ).
fof(f824,plain,
( spl14_97
<=> ! [X0,X1] :
( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_97])]) ).
fof(f261,plain,
! [X0,X1] :
( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_29) ).
fof(f822,plain,
spl14_96,
inference(avatar_split_clause,[],[f260,f820]) ).
fof(f820,plain,
( spl14_96
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_96])]) ).
fof(f260,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f818,plain,
spl14_95,
inference(avatar_split_clause,[],[f259,f816]) ).
fof(f816,plain,
( spl14_95
<=> ! [X0,X1] :
( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
fof(f259,plain,
! [X0,X1] :
( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_27) ).
fof(f814,plain,
spl14_94,
inference(avatar_split_clause,[],[f258,f812]) ).
fof(f812,plain,
( spl14_94
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).
fof(f258,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f810,plain,
spl14_93,
inference(avatar_split_clause,[],[f257,f808]) ).
fof(f808,plain,
( spl14_93
<=> ! [X0,X1] :
( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
fof(f257,plain,
! [X0,X1] :
( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_28) ).
fof(f806,plain,
spl14_92,
inference(avatar_split_clause,[],[f256,f804]) ).
fof(f804,plain,
( spl14_92
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
fof(f256,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f802,plain,
spl14_91,
inference(avatar_split_clause,[],[f252,f800]) ).
fof(f800,plain,
( spl14_91
<=> ! [X0,X1] :
( X0 != X1
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f252,plain,
! [X0,X1] :
( X0 != X1
| host(X0) = host(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( X0 != X1
| host(X0) = host(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( host(X0) != host(X1)
=> X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_33) ).
fof(f795,plain,
( spl14_89
| ~ spl14_90
| ~ spl14_21
| ~ spl14_73 ),
inference(avatar_split_clause,[],[f749,f705,f428,f792,f788]) ).
fof(f788,plain,
( spl14_89
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f792,plain,
( spl14_90
<=> ordered(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f749,plain,
( ~ ordered(queue(host(sK8)))
| ordered(sK2)
| ~ spl14_21
| ~ spl14_73 ),
inference(superposition,[],[f706,f430]) ).
fof(f778,plain,
spl14_88,
inference(avatar_split_clause,[],[f288,f776]) ).
fof(f288,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f774,plain,
spl14_87,
inference(avatar_split_clause,[],[f284,f772]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f770,plain,
spl14_86,
inference(avatar_split_clause,[],[f280,f768]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f766,plain,
spl14_85,
inference(avatar_split_clause,[],[f275,f764]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f762,plain,
spl14_84,
inference(avatar_split_clause,[],[f271,f760]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f758,plain,
spl14_83,
inference(avatar_split_clause,[],[f251,f756]) ).
fof(f251,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_56) ).
fof(f754,plain,
spl14_82,
inference(avatar_split_clause,[],[f226,f752]) ).
fof(f226,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_43) ).
fof(f747,plain,
( spl14_81
| ~ spl14_21
| ~ spl14_69 ),
inference(avatar_split_clause,[],[f739,f689,f428,f744]) ).
fof(f744,plain,
( spl14_81
<=> sK2 = tail(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f739,plain,
( sK2 = tail(queue(host(sK8)))
| ~ spl14_21
| ~ spl14_69 ),
inference(superposition,[],[f690,f430]) ).
fof(f735,plain,
spl14_80,
inference(avatar_split_clause,[],[f296,f733]) ).
fof(f733,plain,
( spl14_80
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f296,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_12) ).
fof(f731,plain,
spl14_79,
inference(avatar_split_clause,[],[f295,f729]) ).
fof(f729,plain,
( spl14_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f295,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_11) ).
fof(f727,plain,
spl14_78,
inference(avatar_split_clause,[],[f294,f725]) ).
fof(f725,plain,
( spl14_78
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f294,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_14) ).
fof(f723,plain,
spl14_77,
inference(avatar_split_clause,[],[f293,f721]) ).
fof(f721,plain,
( spl14_77
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f293,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_13) ).
fof(f719,plain,
spl14_76,
inference(avatar_split_clause,[],[f292,f717]) ).
fof(f717,plain,
( spl14_76
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f292,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_15) ).
fof(f715,plain,
spl14_75,
inference(avatar_split_clause,[],[f291,f713]) ).
fof(f713,plain,
( spl14_75
<=> ! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f291,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f711,plain,
spl14_74,
inference(avatar_split_clause,[],[f283,f709]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f707,plain,
spl14_73,
inference(avatar_split_clause,[],[f274,f705]) ).
fof(f274,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f703,plain,
spl14_72,
inference(avatar_split_clause,[],[f250,f701]) ).
fof(f250,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_60) ).
fof(f699,plain,
spl14_71,
inference(avatar_split_clause,[],[f249,f697]) ).
fof(f249,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_38) ).
fof(f695,plain,
spl14_70,
inference(avatar_split_clause,[],[f248,f693]) ).
fof(f248,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_37) ).
fof(f691,plain,
spl14_69,
inference(avatar_split_clause,[],[f247,f689]) ).
fof(f247,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_36) ).
fof(f687,plain,
spl14_68,
inference(avatar_split_clause,[],[f246,f685]) ).
fof(f246,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_35) ).
fof(f683,plain,
( ~ spl14_67
| ~ spl14_21
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f670,f641,f428,f680]) ).
fof(f680,plain,
( spl14_67
<=> q_nil = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f641,plain,
( spl14_59
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f670,plain,
( q_nil != queue(host(sK8))
| ~ spl14_21
| ~ spl14_59 ),
inference(superposition,[],[f642,f430]) ).
fof(f642,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f678,plain,
spl14_66,
inference(avatar_split_clause,[],[f233,f676]) ).
fof(f233,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f674,plain,
spl14_65,
inference(avatar_split_clause,[],[f232,f672]) ).
fof(f232,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f669,plain,
( ~ spl14_64
| ~ spl14_4
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f577,f528,f340,f666]) ).
fof(f577,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl14_4
| ~ spl14_38 ),
inference(superposition,[],[f529,f342]) ).
fof(f660,plain,
spl14_63,
inference(avatar_split_clause,[],[f279,f658]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f656,plain,
( ~ spl14_62
| ~ spl14_10
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f576,f528,f372,f653]) ).
fof(f576,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ spl14_10
| ~ spl14_38 ),
inference(superposition,[],[f529,f374]) ).
fof(f651,plain,
spl14_61,
inference(avatar_split_clause,[],[f270,f649]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f647,plain,
spl14_60,
inference(avatar_split_clause,[],[f245,f645]) ).
fof(f645,plain,
( spl14_60
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f245,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_42) ).
fof(f643,plain,
spl14_59,
inference(avatar_split_clause,[],[f244,f641]) ).
fof(f244,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_41) ).
fof(f639,plain,
spl14_58,
inference(avatar_split_clause,[],[f243,f637]) ).
fof(f243,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_18) ).
fof(f635,plain,
spl14_57,
inference(avatar_split_clause,[],[f242,f633]) ).
fof(f633,plain,
( spl14_57
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f242,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_20) ).
fof(f631,plain,
spl14_56,
inference(avatar_split_clause,[],[f241,f629]) ).
fof(f629,plain,
( spl14_56
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f241,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_19) ).
fof(f627,plain,
spl14_55,
inference(avatar_split_clause,[],[f240,f625]) ).
fof(f625,plain,
( spl14_55
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f240,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_17) ).
fof(f623,plain,
spl14_54,
inference(avatar_split_clause,[],[f239,f621]) ).
fof(f621,plain,
( spl14_54
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f239,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_22) ).
fof(f619,plain,
spl14_53,
inference(avatar_split_clause,[],[f238,f617]) ).
fof(f617,plain,
( spl14_53
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f238,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_21) ).
fof(f615,plain,
spl14_52,
inference(avatar_split_clause,[],[f237,f613]) ).
fof(f613,plain,
( spl14_52
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f237,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_16) ).
fof(f611,plain,
( ~ spl14_51
| ~ spl14_9
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f575,f528,f367,f608]) ).
fof(f575,plain,
( ~ elem(m_Down(sK4),queue(host(sK8)))
| ~ spl14_9
| ~ spl14_38 ),
inference(superposition,[],[f529,f369]) ).
fof(f606,plain,
spl14_50,
inference(avatar_split_clause,[],[f236,f604]) ).
fof(f604,plain,
( spl14_50
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f236,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_23) ).
fof(f602,plain,
spl14_49,
inference(avatar_split_clause,[],[f235,f600]) ).
fof(f600,plain,
( spl14_49
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f235,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_24) ).
fof(f598,plain,
spl14_48,
inference(avatar_split_clause,[],[f234,f596]) ).
fof(f596,plain,
( spl14_48
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f234,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_25) ).
fof(f594,plain,
spl14_47,
inference(avatar_split_clause,[],[f225,f592]) ).
fof(f225,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_02) ).
fof(f590,plain,
spl14_46,
inference(avatar_split_clause,[],[f224,f588]) ).
fof(f224,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_50) ).
fof(f586,plain,
spl14_45,
inference(avatar_split_clause,[],[f223,f584]) ).
fof(f223,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_49) ).
fof(f574,plain,
spl14_44,
inference(avatar_split_clause,[],[f323,f572]) ).
fof(f323,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f228,f226]) ).
fof(f228,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_52) ).
fof(f570,plain,
spl14_43,
inference(avatar_split_clause,[],[f222,f568]) ).
fof(f222,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_04) ).
fof(f566,plain,
spl14_42,
inference(avatar_split_clause,[],[f221,f564]) ).
fof(f221,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_58) ).
fof(f562,plain,
spl14_41,
inference(avatar_split_clause,[],[f217,f559]) ).
fof(f217,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_03) ).
fof(f538,plain,
spl14_40,
inference(avatar_split_clause,[],[f189,f536]) ).
fof(f189,plain,
! [X14,X13] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ),
inference(cnf_transformation,[],[f152]) ).
fof(f534,plain,
spl14_39,
inference(avatar_split_clause,[],[f188,f532]) ).
fof(f188,plain,
! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f530,plain,
( spl14_38
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f453,f438,f528]) ).
fof(f453,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_22 ),
inference(equality_resolution,[],[f439]) ).
fof(f526,plain,
spl14_37,
inference(avatar_split_clause,[],[f220,f524]) ).
fof(f220,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_59) ).
fof(f522,plain,
spl14_36,
inference(avatar_split_clause,[],[f219,f520]) ).
fof(f520,plain,
( spl14_36
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f219,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_65) ).
fof(f518,plain,
spl14_35,
inference(avatar_split_clause,[],[f218,f516]) ).
fof(f218,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/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_45) ).
fof(f514,plain,
~ spl14_34,
inference(avatar_split_clause,[],[f216,f511]) ).
fof(f511,plain,
( spl14_34
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f216,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_34) ).
fof(f509,plain,
~ spl14_33,
inference(avatar_split_clause,[],[f215,f506]) ).
fof(f506,plain,
( spl14_33
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f215,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_09) ).
fof(f504,plain,
~ spl14_32,
inference(avatar_split_clause,[],[f214,f501]) ).
fof(f501,plain,
( spl14_32
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f214,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_08) ).
fof(f499,plain,
~ spl14_31,
inference(avatar_split_clause,[],[f213,f496]) ).
fof(f496,plain,
( spl14_31
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f213,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_05) ).
fof(f494,plain,
~ spl14_30,
inference(avatar_split_clause,[],[f212,f491]) ).
fof(f491,plain,
( spl14_30
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f212,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_07) ).
fof(f489,plain,
~ spl14_29,
inference(avatar_split_clause,[],[f211,f486]) ).
fof(f486,plain,
( spl14_29
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f211,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_06) ).
fof(f484,plain,
~ spl14_28,
inference(avatar_split_clause,[],[f210,f481]) ).
fof(f481,plain,
( spl14_28
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f210,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_10) ).
fof(f475,plain,
( ~ spl14_27
| ~ spl14_16
| ~ spl14_20 ),
inference(avatar_split_clause,[],[f432,f424,f404,f472]) ).
fof(f432,plain,
( ~ setIn(sK8,alive)
| ~ spl14_16
| ~ spl14_20 ),
inference(resolution,[],[f425,f406]) ).
fof(f406,plain,
( elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f470,plain,
( spl14_25
| spl14_26 ),
inference(avatar_split_clause,[],[f317,f467,f463]) ).
fof(f467,plain,
( spl14_26
<=> setIn(host(sK8),index(acks,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f317,plain,
( setIn(host(sK8),index(acks,host(sK8)))
| host(sK5) = host(sK8) ),
inference(forward_demodulation,[],[f316,f314]) ).
fof(f314,plain,
host(sK6) = host(sK8),
inference(forward_demodulation,[],[f198,f205]) ).
fof(f205,plain,
host(sK7) = host(sK8),
inference(cnf_transformation,[],[f152]) ).
fof(f198,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f316,plain,
( setIn(host(sK6),index(acks,host(sK8)))
| host(sK5) = host(sK8) ),
inference(forward_demodulation,[],[f315,f313]) ).
fof(f313,plain,
host(sK4) = host(sK8),
inference(forward_demodulation,[],[f199,f205]) ).
fof(f199,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f315,plain,
( host(sK5) = host(sK8)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(forward_demodulation,[],[f197,f314]) ).
fof(f197,plain,
( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f461,plain,
spl14_24,
inference(avatar_split_clause,[],[f187,f459]) ).
fof(f187,plain,
! [X18,X19,X17] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f444,plain,
spl14_23,
inference(avatar_split_clause,[],[f186,f442]) ).
fof(f186,plain,
! [X21,X20] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f440,plain,
spl14_22,
inference(avatar_split_clause,[],[f185,f438]) ).
fof(f185,plain,
! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f431,plain,
spl14_21,
inference(avatar_split_clause,[],[f322,f428]) ).
fof(f322,plain,
cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8)),
inference(forward_demodulation,[],[f191,f313]) ).
fof(f191,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f426,plain,
spl14_20,
inference(avatar_split_clause,[],[f184,f424]) ).
fof(f184,plain,
! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f422,plain,
spl14_19,
inference(avatar_split_clause,[],[f209,f419]) ).
fof(f419,plain,
( spl14_19
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/tmp/tmp.PmGSqErkzq/Vampire---4.8_29902',axiom_51) ).
fof(f417,plain,
spl14_18,
inference(avatar_split_clause,[],[f319,f414]) ).
fof(f414,plain,
( spl14_18
<=> host(sK5) = index(pendack,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f319,plain,
host(sK5) = index(pendack,host(sK8)),
inference(forward_demodulation,[],[f195,f313]) ).
fof(f195,plain,
host(sK5) = index(pendack,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f412,plain,
spl14_17,
inference(avatar_split_clause,[],[f208,f409]) ).
fof(f208,plain,
elem(m_Down(sK10),snoc(sK2,m_Ldr(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f407,plain,
( spl14_16
| ~ spl14_5
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f381,f377,f345,f404]) ).
fof(f377,plain,
( spl14_11
<=> elem(m_Down(sK8),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f381,plain,
( elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_5
| ~ spl14_11 ),
inference(forward_demodulation,[],[f379,f347]) ).
fof(f379,plain,
( elem(m_Down(sK8),queue(host(sK9)))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f402,plain,
spl14_15,
inference(avatar_split_clause,[],[f321,f399]) ).
fof(f399,plain,
( spl14_15
<=> sK3 = index(elid,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f321,plain,
sK3 = index(elid,host(sK8)),
inference(forward_demodulation,[],[f193,f313]) ).
fof(f193,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f397,plain,
spl14_14,
inference(avatar_split_clause,[],[f320,f394]) ).
fof(f394,plain,
( spl14_14
<=> elec_2 = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f320,plain,
elec_2 = index(status,host(sK8)),
inference(forward_demodulation,[],[f194,f313]) ).
fof(f194,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f392,plain,
( spl14_13
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f387,f383,f389]) ).
fof(f383,plain,
( spl14_12
<=> leq(nbr_proc,index(pendack,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f387,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_12 ),
inference(forward_demodulation,[],[f385,f319]) ).
fof(f385,plain,
( leq(nbr_proc,index(pendack,host(sK8)))
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,plain,
spl14_12,
inference(avatar_split_clause,[],[f318,f383]) ).
fof(f318,plain,
leq(nbr_proc,index(pendack,host(sK8))),
inference(forward_demodulation,[],[f196,f313]) ).
fof(f196,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f380,plain,
spl14_11,
inference(avatar_split_clause,[],[f207,f377]) ).
fof(f207,plain,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f152]) ).
fof(f375,plain,
spl14_10,
inference(avatar_split_clause,[],[f314,f372]) ).
fof(f370,plain,
spl14_9,
inference(avatar_split_clause,[],[f313,f367]) ).
fof(f364,plain,
~ spl14_8,
inference(avatar_split_clause,[],[f312,f361]) ).
fof(f361,plain,
( spl14_8
<=> host(sK6) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f312,plain,
host(sK6) != host(sK10),
inference(forward_demodulation,[],[f200,f206]) ).
fof(f206,plain,
host(sK9) = host(sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f200,plain,
host(sK6) != host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f358,plain,
~ spl14_7,
inference(avatar_split_clause,[],[f311,f355]) ).
fof(f355,plain,
( spl14_7
<=> host(sK4) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f311,plain,
host(sK4) != host(sK10),
inference(forward_demodulation,[],[f201,f206]) ).
fof(f201,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f353,plain,
~ spl14_6,
inference(avatar_split_clause,[],[f310,f350]) ).
fof(f310,plain,
host(sK8) != host(sK10),
inference(forward_demodulation,[],[f309,f205]) ).
fof(f309,plain,
host(sK7) != host(sK10),
inference(forward_demodulation,[],[f202,f206]) ).
fof(f202,plain,
host(sK7) != host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f348,plain,
spl14_5,
inference(avatar_split_clause,[],[f206,f345]) ).
fof(f343,plain,
spl14_4,
inference(avatar_split_clause,[],[f205,f340]) ).
fof(f338,plain,
spl14_3,
inference(avatar_split_clause,[],[f204,f335]) ).
fof(f204,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f333,plain,
spl14_2,
inference(avatar_split_clause,[],[f203,f330]) ).
fof(f203,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f328,plain,
spl14_1,
inference(avatar_split_clause,[],[f192,f325]) ).
fof(f192,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 17:26:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.41 % (30009)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30011)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.42 % (30016)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.19/0.42 % (30014)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.42 % (30017)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.19/0.42 % (30015)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.19/0.42 % (30013)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.42 % (30010)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.43 Detected minimum model sizes of [4]
% 0.19/0.43 Detected maximum model sizes of [max]
% 0.19/0.43 TRYING [4]
% 0.19/0.44 Detected minimum model sizes of [4]
% 0.19/0.44 Detected maximum model sizes of [max]
% 0.19/0.44 TRYING [4]
% 0.19/0.46 TRYING [5]
% 0.19/0.52 TRYING [6]
% 0.19/0.56 % (30015)First to succeed.
% 0.19/0.58 % (30015)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for Vampire---4
% 0.19/0.58 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.60 % (30015)------------------------------
% 0.19/0.60 % (30015)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.60 % (30015)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.60 % (30015)Termination reason: Refutation
% 0.19/0.60
% 0.19/0.60 % (30015)Memory used [KB]: 8827
% 0.19/0.60 % (30015)Time elapsed: 0.162 s
% 0.19/0.60 % (30015)------------------------------
% 0.19/0.60 % (30015)------------------------------
% 0.19/0.60 % (30009)Success in time 0.239 s
% 0.19/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------