TSTP Solution File: SWV457+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 : Sun May 5 10:58:12 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 416
% Syntax : Number of formulae : 1428 ( 249 unt; 0 def)
% Number of atoms : 5139 (1058 equ)
% Maximal formula atoms : 144 ( 3 avg)
% Number of connectives : 6677 (2966 ~;2781 |; 466 &)
% ( 376 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 351 ( 349 usr; 343 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 22 con; 0-2 aty)
% Number of variables : 1961 (1916 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3433,plain,
$false,
inference(avatar_sat_refutation,[],[f329,f334,f339,f344,f349,f354,f359,f365,f370,f376,f381,f386,f392,f397,f402,f407,f411,f416,f421,f429,f434,f441,f445,f451,f456,f461,f466,f471,f476,f481,f485,f489,f493,f497,f501,f505,f509,f520,f524,f538,f542,f555,f563,f567,f571,f575,f580,f585,f589,f593,f597,f601,f605,f609,f613,f617,f621,f625,f629,f633,f637,f641,f645,f649,f653,f657,f662,f670,f675,f682,f686,f690,f694,f698,f702,f706,f710,f714,f718,f722,f726,f738,f742,f749,f753,f757,f761,f765,f769,f773,f789,f794,f805,f809,f813,f817,f821,f825,f829,f834,f838,f842,f846,f850,f854,f868,f885,f889,f893,f897,f925,f935,f939,f943,f947,f951,f955,f959,f990,f994,f998,f1002,f1006,f1047,f1053,f1057,f1061,f1069,f1074,f1081,f1085,f1101,f1110,f1119,f1123,f1165,f1169,f1187,f1191,f1196,f1201,f1208,f1219,f1222,f1237,f1243,f1269,f1273,f1281,f1285,f1293,f1297,f1305,f1334,f1342,f1352,f1356,f1366,f1371,f1380,f1384,f1388,f1395,f1401,f1405,f1412,f1428,f1432,f1438,f1442,f1446,f1450,f1454,f1490,f1506,f1525,f1529,f1538,f1542,f1547,f1551,f1555,f1559,f1597,f1615,f1619,f1623,f1627,f1631,f1635,f1636,f1640,f1644,f1648,f1725,f1729,f1733,f1737,f1741,f1745,f1749,f1753,f1757,f1767,f1844,f1848,f1852,f1887,f1899,f1903,f1946,f1950,f1954,f1958,f1962,f2040,f2044,f2075,f2080,f2086,f2090,f2094,f2160,f2164,f2170,f2174,f2178,f2182,f2186,f2190,f2194,f2200,f2228,f2237,f2243,f2251,f2255,f2263,f2267,f2274,f2278,f2282,f2286,f2290,f2294,f2329,f2334,f2338,f2342,f2349,f2360,f2361,f2377,f2380,f2410,f2419,f2450,f2456,f2463,f2469,f2473,f2476,f2493,f2497,f2506,f2511,f2516,f2521,f2526,f2536,f2540,f2547,f2552,f2562,f2568,f2574,f2587,f2591,f2598,f2609,f2613,f2636,f2656,f2662,f2671,f2677,f2728,f2734,f2751,f2759,f2770,f2775,f2779,f2784,f2791,f2802,f2806,f2815,f2828,f2837,f2846,f2856,f2860,f2875,f2880,f2888,f2892,f2909,f2919,f2923,f2933,f2938,f2946,f2951,f2955,f2960,f2968,f2982,f2987,f2994,f2998,f3016,f3026,f3036,f3040,f3044,f3134,f3138,f3142,f3146,f3245,f3249,f3253,f3257,f3261,f3265,f3269,f3273,f3297,f3431,f3432]) ).
fof(f3432,plain,
( ~ spl11_139
| spl11_5
| ~ spl11_277
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f3120,f2935,f2565,f346,f1116]) ).
fof(f1116,plain,
( spl11_139
<=> nbr_proc = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_139])]) ).
fof(f346,plain,
( spl11_5
<=> host(sK3) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f2565,plain,
( spl11_277
<=> sK3 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_277])]) ).
fof(f2935,plain,
( spl11_314
<=> nbr_proc = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_314])]) ).
fof(f3120,plain,
( nbr_proc != host(sK6)
| spl11_5
| ~ spl11_277
| ~ spl11_314 ),
inference(forward_demodulation,[],[f3047,f2567]) ).
fof(f2567,plain,
( sK3 = sK6
| ~ spl11_277 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f3047,plain,
( nbr_proc != host(sK3)
| spl11_5
| ~ spl11_314 ),
inference(superposition,[],[f348,f2937]) ).
fof(f2937,plain,
( nbr_proc = host(sK5)
| ~ spl11_314 ),
inference(avatar_component_clause,[],[f2935]) ).
fof(f348,plain,
( host(sK3) != host(sK5)
| spl11_5 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f3431,plain,
( spl11_340
| ~ spl11_270
| ~ spl11_341
| ~ spl11_342
| ~ spl11_114
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1146,f1116,f923,f3428,f3424,f2530,f3421]) ).
fof(f3421,plain,
( spl11_340
<=> ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),nbr_proc)
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_340])]) ).
fof(f2530,plain,
( spl11_270
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_270])]) ).
fof(f3424,plain,
( spl11_341
<=> norm = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_341])]) ).
fof(f3428,plain,
( spl11_342
<=> nbr_proc = index(ldr,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_342])]) ).
fof(f923,plain,
( spl11_114
<=> ! [X9,X11,X10] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_114])]) ).
fof(f1146,plain,
( ! [X0,X1] :
( nbr_proc != index(ldr,nbr_proc)
| norm != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),nbr_proc) )
| ~ spl11_114
| ~ spl11_139 ),
inference(superposition,[],[f924,f1118]) ).
fof(f1118,plain,
( nbr_proc = host(sK6)
| ~ spl11_139 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f924,plain,
( ! [X10,X11,X9] :
( host(X9) != index(ldr,host(X9))
| norm != index(status,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) )
| ~ spl11_114 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f3297,plain,
( ~ spl11_339
| spl11_84
| ~ spl11_139
| ~ spl11_277 ),
inference(avatar_split_clause,[],[f2640,f2565,f1116,f735,f3294]) ).
fof(f3294,plain,
( spl11_339
<=> q_nil = queue(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_339])]) ).
fof(f735,plain,
( spl11_84
<=> q_nil = queue(host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_84])]) ).
fof(f2640,plain,
( q_nil != queue(nbr_proc)
| spl11_84
| ~ spl11_139
| ~ spl11_277 ),
inference(forward_demodulation,[],[f2617,f1118]) ).
fof(f2617,plain,
( q_nil != queue(host(sK6))
| spl11_84
| ~ spl11_277 ),
inference(superposition,[],[f737,f2567]) ).
fof(f737,plain,
( q_nil != queue(host(sK3))
| spl11_84 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f3273,plain,
( spl11_338
| ~ spl11_45
| ~ spl11_189 ),
inference(avatar_split_clause,[],[f1661,f1617,f560,f3271]) ).
fof(f3271,plain,
( spl11_338
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_338])]) ).
fof(f560,plain,
( spl11_45
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
fof(f1617,plain,
( spl11_189
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_189])]) ).
fof(f1661,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl11_45
| ~ spl11_189 ),
inference(resolution,[],[f1618,f562]) ).
fof(f562,plain,
( leq(s(zero),nbr_proc)
| ~ spl11_45 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl11_189 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f3269,plain,
( spl11_337
| ~ spl11_47
| ~ spl11_189 ),
inference(avatar_split_clause,[],[f1660,f1617,f569,f3267]) ).
fof(f3267,plain,
( spl11_337
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_337])]) ).
fof(f569,plain,
( spl11_47
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
fof(f1660,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl11_47
| ~ spl11_189 ),
inference(resolution,[],[f1618,f570]) ).
fof(f570,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl11_47 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f3265,plain,
( spl11_336
| ~ spl11_152
| ~ spl11_189 ),
inference(avatar_split_clause,[],[f1659,f1617,f1271,f3263]) ).
fof(f3263,plain,
( spl11_336
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_336])]) ).
fof(f1271,plain,
( spl11_152
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_152])]) ).
fof(f1659,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl11_152
| ~ spl11_189 ),
inference(resolution,[],[f1618,f1272]) ).
fof(f1272,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl11_152 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f3261,plain,
( spl11_335
| ~ spl11_86
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f1587,f1557,f747,f3259]) ).
fof(f3259,plain,
( spl11_335
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_335])]) ).
fof(f747,plain,
( spl11_86
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_86])]) ).
fof(f1557,plain,
( spl11_186
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_186])]) ).
fof(f1587,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl11_86
| ~ spl11_186 ),
inference(superposition,[],[f1558,f748]) ).
fof(f748,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl11_86 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1558,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl11_186 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f3257,plain,
( spl11_334
| ~ spl11_100
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f1580,f1545,f823,f3255]) ).
fof(f3255,plain,
( spl11_334
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_334])]) ).
fof(f823,plain,
( spl11_100
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_100])]) ).
fof(f1545,plain,
( spl11_183
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_183])]) ).
fof(f1580,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl11_100
| ~ spl11_183 ),
inference(resolution,[],[f1546,f824]) ).
fof(f824,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl11_100 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f1546,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl11_183 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f3253,plain,
( spl11_333
| ~ spl11_179
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f1579,f1545,f1523,f3251]) ).
fof(f3251,plain,
( spl11_333
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_333])]) ).
fof(f1523,plain,
( spl11_179
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_179])]) ).
fof(f1579,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl11_179
| ~ spl11_183 ),
inference(resolution,[],[f1546,f1524]) ).
fof(f1524,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl11_179 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f3249,plain,
( spl11_332
| ~ spl11_76
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f1577,f1545,f696,f3247]) ).
fof(f3247,plain,
( spl11_332
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_332])]) ).
fof(f696,plain,
( spl11_76
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_76])]) ).
fof(f1577,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl11_76
| ~ spl11_183 ),
inference(resolution,[],[f1546,f697]) ).
fof(f697,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl11_76 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f3245,plain,
( spl11_331
| ~ spl11_92
| ~ spl11_170 ),
inference(avatar_split_clause,[],[f1462,f1426,f771,f3243]) ).
fof(f3243,plain,
( spl11_331
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_331])]) ).
fof(f771,plain,
( spl11_92
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_92])]) ).
fof(f1426,plain,
( spl11_170
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_170])]) ).
fof(f1462,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl11_92
| ~ spl11_170 ),
inference(resolution,[],[f1427,f772]) ).
fof(f772,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl11_92 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f1427,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl11_170 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f3146,plain,
( spl11_330
| ~ spl11_92
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f1574,f1545,f771,f3144]) ).
fof(f3144,plain,
( spl11_330
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_330])]) ).
fof(f1574,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl11_92
| ~ spl11_183 ),
inference(resolution,[],[f1546,f772]) ).
fof(f3142,plain,
( spl11_329
| ~ spl11_173
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f1565,f1523,f1440,f3140]) ).
fof(f3140,plain,
( spl11_329
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_329])]) ).
fof(f1440,plain,
( spl11_173
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_173])]) ).
fof(f1565,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl11_173
| ~ spl11_179 ),
inference(resolution,[],[f1524,f1441]) ).
fof(f1441,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl11_173 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f3138,plain,
( spl11_328
| ~ spl11_86
| ~ spl11_176 ),
inference(avatar_split_clause,[],[f1518,f1452,f747,f3136]) ).
fof(f3136,plain,
( spl11_328
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_328])]) ).
fof(f1452,plain,
( spl11_176
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_176])]) ).
fof(f1518,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl11_86
| ~ spl11_176 ),
inference(superposition,[],[f1453,f748]) ).
fof(f1453,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl11_176 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f3134,plain,
( spl11_327
| ~ spl11_100
| ~ spl11_173 ),
inference(avatar_split_clause,[],[f1479,f1440,f823,f3132]) ).
fof(f3132,plain,
( spl11_327
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_327])]) ).
fof(f1479,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl11_100
| ~ spl11_173 ),
inference(resolution,[],[f1441,f824]) ).
fof(f3044,plain,
( spl11_326
| ~ spl11_76
| ~ spl11_173 ),
inference(avatar_split_clause,[],[f1477,f1440,f696,f3042]) ).
fof(f3042,plain,
( spl11_326
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_326])]) ).
fof(f1477,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl11_76
| ~ spl11_173 ),
inference(resolution,[],[f1441,f697]) ).
fof(f3040,plain,
( spl11_325
| ~ spl11_76
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1468,f1436,f696,f3038]) ).
fof(f3038,plain,
( spl11_325
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_325])]) ).
fof(f1436,plain,
( spl11_172
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_172])]) ).
fof(f1468,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl11_76
| ~ spl11_172 ),
inference(resolution,[],[f1437,f697]) ).
fof(f1437,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl11_172 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f3036,plain,
( spl11_324
| ~ spl11_76
| ~ spl11_170 ),
inference(avatar_split_clause,[],[f1459,f1426,f696,f3034]) ).
fof(f3034,plain,
( spl11_324
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_324])]) ).
fof(f1459,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl11_76
| ~ spl11_170 ),
inference(resolution,[],[f1427,f697]) ).
fof(f3026,plain,
( spl11_323
| ~ spl11_140
| ~ spl11_222 ),
inference(avatar_split_clause,[],[f2114,f2084,f1163,f3024]) ).
fof(f3024,plain,
( spl11_323
<=> ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK3)),X0)),snoc(sK2,X0))
| m_Halt(sK4) = sK10(X1,snoc(queue(host(sK3)),X0))
| sP1(X1,snoc(queue(host(sK3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_323])]) ).
fof(f1163,plain,
( spl11_140
<=> ! [X0] : cons(m_Halt(sK4),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_140])]) ).
fof(f2084,plain,
( spl11_222
<=> ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_222])]) ).
fof(f2114,plain,
( ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK3)),X0)),snoc(sK2,X0))
| m_Halt(sK4) = sK10(X1,snoc(queue(host(sK3)),X0))
| sP1(X1,snoc(queue(host(sK3)),X0)) )
| ~ spl11_140
| ~ spl11_222 ),
inference(superposition,[],[f2085,f1164]) ).
fof(f1164,plain,
( ! [X0] : cons(m_Halt(sK4),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl11_140 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f2085,plain,
( ! [X2,X0,X1] :
( elem(sK10(X0,cons(X1,X2)),X2)
| sK10(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl11_222 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f3016,plain,
( spl11_322
| ~ spl11_140
| ~ spl11_220 ),
inference(avatar_split_clause,[],[f2103,f2073,f1163,f3014]) ).
fof(f3014,plain,
( spl11_322
<=> ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK3)),X0)),snoc(sK2,X0))
| m_Halt(sK4) = sK9(X1,snoc(queue(host(sK3)),X0))
| sP0(X1,snoc(queue(host(sK3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_322])]) ).
fof(f2073,plain,
( spl11_220
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_220])]) ).
fof(f2103,plain,
( ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK3)),X0)),snoc(sK2,X0))
| m_Halt(sK4) = sK9(X1,snoc(queue(host(sK3)),X0))
| sP0(X1,snoc(queue(host(sK3)),X0)) )
| ~ spl11_140
| ~ spl11_220 ),
inference(superposition,[],[f2074,f1164]) ).
fof(f2074,plain,
( ! [X2,X0,X1] :
( elem(sK9(X0,cons(X1,X2)),X2)
| sK9(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl11_220 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2998,plain,
( spl11_321
| ~ spl11_92
| ~ spl11_173 ),
inference(avatar_split_clause,[],[f1474,f1440,f771,f2996]) ).
fof(f2996,plain,
( spl11_321
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_321])]) ).
fof(f1474,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl11_92
| ~ spl11_173 ),
inference(resolution,[],[f1441,f772]) ).
fof(f2994,plain,
( spl11_320
| ~ spl11_92
| ~ spl11_158 ),
inference(avatar_split_clause,[],[f1347,f1340,f771,f2992]) ).
fof(f2992,plain,
( spl11_320
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_320])]) ).
fof(f1340,plain,
( spl11_158
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_158])]) ).
fof(f1347,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl11_92
| ~ spl11_158 ),
inference(resolution,[],[f1341,f772]) ).
fof(f1341,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl11_158 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f2987,plain,
( ~ spl11_319
| ~ spl11_277
| spl11_307 ),
inference(avatar_split_clause,[],[f2881,f2877,f2565,f2984]) ).
fof(f2984,plain,
( spl11_319
<=> elem(m_Ldr(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_319])]) ).
fof(f2877,plain,
( spl11_307
<=> elem(m_Ldr(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_307])]) ).
fof(f2881,plain,
( ~ elem(m_Ldr(sK6),sK2)
| ~ spl11_277
| spl11_307 ),
inference(forward_demodulation,[],[f2879,f2567]) ).
fof(f2879,plain,
( ~ elem(m_Ldr(sK3),sK2)
| spl11_307 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f2982,plain,
( ~ spl11_270
| spl11_318
| ~ spl11_85
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1144,f1116,f740,f2980,f2530]) ).
fof(f2980,plain,
( spl11_318
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(host(X1),index(down,nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_318])]) ).
fof(f740,plain,
( spl11_85
<=> ! [X16,X14,X15] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_85])]) ).
fof(f1144,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(host(X1),index(down,nbr_proc))
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) )
| ~ spl11_85
| ~ spl11_139 ),
inference(superposition,[],[f741,f1118]) ).
fof(f741,plain,
( ! [X16,X14,X15] :
( host(X14) != host(X15)
| ~ setIn(host(X16),index(down,host(X15)))
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
| ~ spl11_85 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f2968,plain,
( spl11_317
| ~ spl11_76
| ~ spl11_158 ),
inference(avatar_split_clause,[],[f1344,f1340,f696,f2966]) ).
fof(f2966,plain,
( spl11_317
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_317])]) ).
fof(f1344,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl11_76
| ~ spl11_158 ),
inference(resolution,[],[f1341,f697]) ).
fof(f2960,plain,
( spl11_316
| ~ spl11_71
| ~ spl11_315 ),
inference(avatar_split_clause,[],[f2956,f2953,f672,f2958]) ).
fof(f2958,plain,
( spl11_316
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_316])]) ).
fof(f672,plain,
( spl11_71
<=> sK4 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_71])]) ).
fof(f2953,plain,
( spl11_315
<=> ! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_315])]) ).
fof(f2956,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_71
| ~ spl11_315 ),
inference(forward_demodulation,[],[f2954,f673]) ).
fof(f673,plain,
( sK4 = sK7
| ~ spl11_71 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f2954,plain,
( ! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_315 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f2955,plain,
( ~ spl11_2
| spl11_315
| ~ spl11_6
| ~ spl11_157 ),
inference(avatar_split_clause,[],[f1335,f1332,f351,f2953,f331]) ).
fof(f331,plain,
( spl11_2
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f351,plain,
( spl11_6
<=> host(sK4) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f1332,plain,
( spl11_157
<=> ! [X0,X1] :
( ~ setIn(host(X0),index(down,host(X1)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_157])]) ).
fof(f1335,plain,
( ! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive) )
| ~ spl11_6
| ~ spl11_157 ),
inference(superposition,[],[f1333,f353]) ).
fof(f353,plain,
( host(sK4) = host(sK7)
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f1333,plain,
( ! [X0,X1] :
( ~ setIn(host(X0),index(down,host(X1)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) )
| ~ spl11_157 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f2951,plain,
( spl11_278
| ~ spl11_44
| spl11_276
| ~ spl11_11
| ~ spl11_14
| ~ spl11_139
| ~ spl11_169 ),
inference(avatar_split_clause,[],[f1492,f1410,f1116,f394,f378,f2559,f552,f2572]) ).
fof(f2572,plain,
( spl11_278
<=> ! [X0] : ~ elem(m_Halt(sK4),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_278])]) ).
fof(f552,plain,
( spl11_44
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_44])]) ).
fof(f2559,plain,
( spl11_276
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_276])]) ).
fof(f378,plain,
( spl11_11
<=> elec_2 = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f394,plain,
( spl11_14
<=> host(sK6) = index(pendack,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1410,plain,
( spl11_169
<=> ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_169])]) ).
fof(f1492,plain,
( ! [X0] :
( leq(nbr_proc,host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Halt(sK4),queue(host(X0))) )
| ~ spl11_11
| ~ spl11_14
| ~ spl11_139
| ~ spl11_169 ),
inference(forward_demodulation,[],[f1491,f1118]) ).
fof(f1491,plain,
( ! [X0] :
( leq(host(sK6),host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Halt(sK4),queue(host(X0))) )
| ~ spl11_11
| ~ spl11_14
| ~ spl11_169 ),
inference(forward_demodulation,[],[f1417,f396]) ).
fof(f396,plain,
( host(sK6) = index(pendack,host(sK4))
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f1417,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Halt(sK4),queue(host(X0))) )
| ~ spl11_11
| ~ spl11_169 ),
inference(trivial_inequality_removal,[],[f1416]) ).
fof(f1416,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK4)),host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Halt(sK4),queue(host(X0))) )
| ~ spl11_11
| ~ spl11_169 ),
inference(superposition,[],[f1411,f380]) ).
fof(f380,plain,
( elec_2 = index(status,host(sK4))
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f1411,plain,
( ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) )
| ~ spl11_169 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f2946,plain,
( ~ spl11_93
| ~ spl11_278 ),
inference(avatar_contradiction_clause,[],[f2942]) ).
fof(f2942,plain,
( $false
| ~ spl11_93
| ~ spl11_278 ),
inference(resolution,[],[f2573,f788]) ).
fof(f788,plain,
( elem(m_Halt(sK4),queue(host(sK3)))
| ~ spl11_93 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl11_93
<=> elem(m_Halt(sK4),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_93])]) ).
fof(f2573,plain,
( ! [X0] : ~ elem(m_Halt(sK4),queue(host(X0)))
| ~ spl11_278 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f2938,plain,
( spl11_314
| ~ spl11_180
| ~ spl11_276 ),
inference(avatar_split_clause,[],[f2575,f2559,f1527,f2935]) ).
fof(f1527,plain,
( spl11_180
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_180])]) ).
fof(f2575,plain,
( nbr_proc = host(sK5)
| ~ spl11_180
| ~ spl11_276 ),
inference(resolution,[],[f2561,f1528]) ).
fof(f1528,plain,
( ! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc )
| ~ spl11_180 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f2561,plain,
( leq(nbr_proc,host(sK5))
| ~ spl11_276 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f2933,plain,
( spl11_313
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(avatar_split_clause,[],[f2929,f2921,f2565,f1116,f2931]) ).
fof(f2931,plain,
( spl11_313
<=> ! [X0] :
( sP1(X0,queue(nbr_proc))
| elem(sK10(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK10(X0,queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_313])]) ).
fof(f2921,plain,
( spl11_312
<=> ! [X0] :
( m_Halt(sK4) = sK10(X0,queue(host(sK3)))
| elem(sK10(X0,queue(host(sK3))),sK2)
| sP1(X0,queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_312])]) ).
fof(f2929,plain,
( ! [X0] :
( sP1(X0,queue(nbr_proc))
| elem(sK10(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK10(X0,queue(nbr_proc)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2928,f1118]) ).
fof(f2928,plain,
( ! [X0] :
( sP1(X0,queue(host(sK6)))
| elem(sK10(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK10(X0,queue(nbr_proc)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2927,f2567]) ).
fof(f2927,plain,
( ! [X0] :
( elem(sK10(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK10(X0,queue(nbr_proc))
| sP1(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2926,f1118]) ).
fof(f2926,plain,
( ! [X0] :
( elem(sK10(X0,queue(host(sK6))),sK2)
| m_Halt(sK4) = sK10(X0,queue(nbr_proc))
| sP1(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2925,f2567]) ).
fof(f2925,plain,
( ! [X0] :
( m_Halt(sK4) = sK10(X0,queue(nbr_proc))
| elem(sK10(X0,queue(host(sK3))),sK2)
| sP1(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2924,f1118]) ).
fof(f2924,plain,
( ! [X0] :
( m_Halt(sK4) = sK10(X0,queue(host(sK6)))
| elem(sK10(X0,queue(host(sK3))),sK2)
| sP1(X0,queue(host(sK3))) )
| ~ spl11_277
| ~ spl11_312 ),
inference(forward_demodulation,[],[f2922,f2567]) ).
fof(f2922,plain,
( ! [X0] :
( m_Halt(sK4) = sK10(X0,queue(host(sK3)))
| elem(sK10(X0,queue(host(sK3))),sK2)
| sP1(X0,queue(host(sK3))) )
| ~ spl11_312 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f2923,plain,
( spl11_312
| ~ spl11_104
| ~ spl11_141 ),
inference(avatar_split_clause,[],[f1183,f1167,f840,f2921]) ).
fof(f840,plain,
( spl11_104
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_104])]) ).
fof(f1167,plain,
( spl11_141
<=> ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Halt(sK4) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_141])]) ).
fof(f1183,plain,
( ! [X0] :
( m_Halt(sK4) = sK10(X0,queue(host(sK3)))
| elem(sK10(X0,queue(host(sK3))),sK2)
| sP1(X0,queue(host(sK3))) )
| ~ spl11_104
| ~ spl11_141 ),
inference(resolution,[],[f1168,f841]) ).
fof(f841,plain,
( ! [X0,X1] :
( elem(sK10(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl11_104 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1168,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Halt(sK4) = X0
| elem(X0,sK2) )
| ~ spl11_141 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f2919,plain,
( spl11_311
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(avatar_split_clause,[],[f2915,f2907,f2565,f1116,f2917]) ).
fof(f2917,plain,
( spl11_311
<=> ! [X0] :
( sP0(X0,queue(nbr_proc))
| elem(sK9(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK9(X0,queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_311])]) ).
fof(f2907,plain,
( spl11_310
<=> ! [X0] :
( m_Halt(sK4) = sK9(X0,queue(host(sK3)))
| elem(sK9(X0,queue(host(sK3))),sK2)
| sP0(X0,queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_310])]) ).
fof(f2915,plain,
( ! [X0] :
( sP0(X0,queue(nbr_proc))
| elem(sK9(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK9(X0,queue(nbr_proc)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2914,f1118]) ).
fof(f2914,plain,
( ! [X0] :
( sP0(X0,queue(host(sK6)))
| elem(sK9(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK9(X0,queue(nbr_proc)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2913,f2567]) ).
fof(f2913,plain,
( ! [X0] :
( elem(sK9(X0,queue(nbr_proc)),sK2)
| m_Halt(sK4) = sK9(X0,queue(nbr_proc))
| sP0(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2912,f1118]) ).
fof(f2912,plain,
( ! [X0] :
( elem(sK9(X0,queue(host(sK6))),sK2)
| m_Halt(sK4) = sK9(X0,queue(nbr_proc))
| sP0(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2911,f2567]) ).
fof(f2911,plain,
( ! [X0] :
( m_Halt(sK4) = sK9(X0,queue(nbr_proc))
| elem(sK9(X0,queue(host(sK3))),sK2)
| sP0(X0,queue(host(sK3))) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2910,f1118]) ).
fof(f2910,plain,
( ! [X0] :
( m_Halt(sK4) = sK9(X0,queue(host(sK6)))
| elem(sK9(X0,queue(host(sK3))),sK2)
| sP0(X0,queue(host(sK3))) )
| ~ spl11_277
| ~ spl11_310 ),
inference(forward_demodulation,[],[f2908,f2567]) ).
fof(f2908,plain,
( ! [X0] :
( m_Halt(sK4) = sK9(X0,queue(host(sK3)))
| elem(sK9(X0,queue(host(sK3))),sK2)
| sP0(X0,queue(host(sK3))) )
| ~ spl11_310 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f2909,plain,
( spl11_310
| ~ spl11_103
| ~ spl11_141 ),
inference(avatar_split_clause,[],[f1182,f1167,f836,f2907]) ).
fof(f836,plain,
( spl11_103
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK9(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_103])]) ).
fof(f1182,plain,
( ! [X0] :
( m_Halt(sK4) = sK9(X0,queue(host(sK3)))
| elem(sK9(X0,queue(host(sK3))),sK2)
| sP0(X0,queue(host(sK3))) )
| ~ spl11_103
| ~ spl11_141 ),
inference(resolution,[],[f1168,f837]) ).
fof(f837,plain,
( ! [X0,X1] :
( elem(sK9(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl11_103 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f2892,plain,
( ~ spl11_270
| spl11_309
| ~ spl11_139
| ~ spl11_157 ),
inference(avatar_split_clause,[],[f1338,f1332,f1116,f2890,f2530]) ).
fof(f2890,plain,
( spl11_309
<=> ! [X0] :
( ~ setIn(host(X0),index(down,nbr_proc))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_309])]) ).
fof(f1338,plain,
( ! [X0] :
( ~ setIn(host(X0),index(down,nbr_proc))
| ~ elem(m_Ack(X0,sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive) )
| ~ spl11_139
| ~ spl11_157 ),
inference(superposition,[],[f1333,f1118]) ).
fof(f2888,plain,
( spl11_308
| ~ spl11_70
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1152,f1116,f668,f2886]) ).
fof(f2886,plain,
( spl11_308
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_308])]) ).
fof(f668,plain,
( spl11_70
<=> ! [X18,X17,X19] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_70])]) ).
fof(f1152,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X1))) )
| ~ spl11_70
| ~ spl11_139 ),
inference(inner_rewriting,[],[f1141]) ).
fof(f1141,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1))) )
| ~ spl11_70
| ~ spl11_139 ),
inference(superposition,[],[f669,f1118]) ).
fof(f669,plain,
( ! [X18,X19,X17] :
( host(X17) != host(X19)
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) )
| ~ spl11_70 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f2880,plain,
( ~ spl11_307
| ~ spl11_34
| ~ spl11_247 ),
inference(avatar_split_clause,[],[f2310,f2284,f491,f2877]) ).
fof(f491,plain,
( spl11_34
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
fof(f2284,plain,
( spl11_247
<=> ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK3),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_247])]) ).
fof(f2310,plain,
( ~ elem(m_Ldr(sK3),sK2)
| ~ spl11_34
| ~ spl11_247 ),
inference(resolution,[],[f2285,f492]) ).
fof(f492,plain,
( ! [X0] : leq(X0,X0)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f2285,plain,
( ! [X0] :
( ~ leq(host(sK3),host(X0))
| ~ elem(m_Ldr(X0),sK2) )
| ~ spl11_247 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f2875,plain,
( ~ spl11_270
| spl11_306
| ~ spl11_70
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1142,f1116,f668,f2873,f2530]) ).
fof(f2873,plain,
( spl11_306
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Ack(sK6,X1),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_306])]) ).
fof(f1142,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ setIn(sK6,alive)
| ~ elem(m_Ack(sK6,X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl11_70
| ~ spl11_139 ),
inference(superposition,[],[f669,f1118]) ).
fof(f2860,plain,
( spl11_305
| ~ spl11_17
| ~ spl11_217 ),
inference(avatar_split_clause,[],[f2022,f1960,f409,f2858]) ).
fof(f2858,plain,
( spl11_305
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK8(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_305])]) ).
fof(f409,plain,
( spl11_17
<=> ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f1960,plain,
( spl11_217
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK8(m_Down(X0)))
| m_Down(X0) = m_Down(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_217])]) ).
fof(f2022,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK8(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_17
| ~ spl11_217 ),
inference(superposition,[],[f410,f1961]) ).
fof(f1961,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK8(m_Down(X0)))
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_217 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f410,plain,
( ! [X36,X37] :
( ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X37,alive) )
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f2856,plain,
( spl11_304
| ~ spl11_17
| ~ spl11_216 ),
inference(avatar_split_clause,[],[f2007,f1956,f409,f2854]) ).
fof(f2854,plain,
( spl11_304
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK8(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_304])]) ).
fof(f1956,plain,
( spl11_216
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK8(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_216])]) ).
fof(f2007,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK8(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_17
| ~ spl11_216 ),
inference(superposition,[],[f410,f1957]) ).
fof(f1957,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_216 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f2846,plain,
( spl11_303
| ~ spl11_139
| ~ spl11_277
| ~ spl11_301 ),
inference(avatar_split_clause,[],[f2839,f2825,f2565,f1116,f2843]) ).
fof(f2843,plain,
( spl11_303
<=> m_Halt(sK4) = last(queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_303])]) ).
fof(f2825,plain,
( spl11_301
<=> m_Halt(sK4) = last(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_301])]) ).
fof(f2839,plain,
( m_Halt(sK4) = last(queue(nbr_proc))
| ~ spl11_139
| ~ spl11_277
| ~ spl11_301 ),
inference(forward_demodulation,[],[f2838,f1118]) ).
fof(f2838,plain,
( m_Halt(sK4) = last(queue(host(sK6)))
| ~ spl11_277
| ~ spl11_301 ),
inference(forward_demodulation,[],[f2827,f2567]) ).
fof(f2827,plain,
( m_Halt(sK4) = last(queue(host(sK3)))
| ~ spl11_301 ),
inference(avatar_component_clause,[],[f2825]) ).
fof(f2837,plain,
( spl11_302
| ~ spl11_139
| ~ spl11_277
| ~ spl11_300 ),
inference(avatar_split_clause,[],[f2832,f2821,f2565,f1116,f2834]) ).
fof(f2834,plain,
( spl11_302
<=> elem(last(queue(nbr_proc)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_302])]) ).
fof(f2821,plain,
( spl11_300
<=> elem(last(queue(host(sK3))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_300])]) ).
fof(f2832,plain,
( elem(last(queue(nbr_proc)),sK2)
| ~ spl11_139
| ~ spl11_277
| ~ spl11_300 ),
inference(forward_demodulation,[],[f2831,f1118]) ).
fof(f2831,plain,
( elem(last(queue(host(sK6))),sK2)
| ~ spl11_277
| ~ spl11_300 ),
inference(forward_demodulation,[],[f2823,f2567]) ).
fof(f2823,plain,
( elem(last(queue(host(sK3))),sK2)
| ~ spl11_300 ),
inference(avatar_component_clause,[],[f2821]) ).
fof(f2828,plain,
( spl11_300
| spl11_301
| spl11_84
| ~ spl11_141
| ~ spl11_175 ),
inference(avatar_split_clause,[],[f1511,f1448,f1167,f735,f2825,f2821]) ).
fof(f1448,plain,
( spl11_175
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_175])]) ).
fof(f1511,plain,
( q_nil = queue(host(sK3))
| m_Halt(sK4) = last(queue(host(sK3)))
| elem(last(queue(host(sK3))),sK2)
| ~ spl11_141
| ~ spl11_175 ),
inference(resolution,[],[f1449,f1168]) ).
fof(f1449,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl11_175 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f2815,plain,
( ~ spl11_270
| spl11_299
| ~ spl11_139
| ~ spl11_157 ),
inference(avatar_split_clause,[],[f1336,f1332,f1116,f2813,f2530]) ).
fof(f2813,plain,
( spl11_299
<=> ! [X0] :
( ~ setIn(nbr_proc,index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_299])]) ).
fof(f1336,plain,
( ! [X0] :
( ~ setIn(nbr_proc,index(down,host(X0)))
| ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl11_139
| ~ spl11_157 ),
inference(superposition,[],[f1333,f1118]) ).
fof(f2806,plain,
( spl11_298
| ~ spl11_6
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1408,f1403,f351,f2804]) ).
fof(f2804,plain,
( spl11_298
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_298])]) ).
fof(f1403,plain,
( spl11_168
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_168])]) ).
fof(f1408,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK4))) )
| ~ spl11_6
| ~ spl11_168 ),
inference(trivial_inequality_removal,[],[f1406]) ).
fof(f1406,plain,
( ! [X0] :
( host(sK4) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK4))) )
| ~ spl11_6
| ~ spl11_168 ),
inference(superposition,[],[f1404,f353]) ).
fof(f1404,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(sK4))) )
| ~ spl11_168 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f2802,plain,
( spl11_297
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1407,f1403,f2800]) ).
fof(f2800,plain,
( spl11_297
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK4),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_297])]) ).
fof(f1407,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK4),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK4))) )
| ~ spl11_168 ),
inference(equality_resolution,[],[f1404]) ).
fof(f2791,plain,
( spl11_296
| ~ spl11_52
| ~ spl11_170 ),
inference(avatar_split_clause,[],[f1456,f1426,f591,f2789]) ).
fof(f2789,plain,
( spl11_296
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_296])]) ).
fof(f591,plain,
( spl11_52
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_52])]) ).
fof(f1456,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl11_52
| ~ spl11_170 ),
inference(resolution,[],[f1427,f592]) ).
fof(f592,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl11_52 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f2784,plain,
( ~ spl11_295
| spl11_109
| ~ spl11_139
| ~ spl11_277 ),
inference(avatar_split_clause,[],[f2643,f2565,f1116,f865,f2781]) ).
fof(f2781,plain,
( spl11_295
<=> ordered(queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_295])]) ).
fof(f865,plain,
( spl11_109
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_109])]) ).
fof(f2643,plain,
( ~ ordered(queue(nbr_proc))
| spl11_109
| ~ spl11_139
| ~ spl11_277 ),
inference(forward_demodulation,[],[f2620,f1118]) ).
fof(f2620,plain,
( ~ ordered(queue(host(sK6)))
| spl11_109
| ~ spl11_277 ),
inference(superposition,[],[f867,f2567]) ).
fof(f867,plain,
( ~ ordered(queue(host(sK3)))
| spl11_109 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f2779,plain,
( ~ spl11_270
| spl11_294
| ~ spl11_49
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1139,f1116,f578,f2777,f2530]) ).
fof(f2777,plain,
( spl11_294
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| leq(host(X0),index(pendack,nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_294])]) ).
fof(f578,plain,
( spl11_49
<=> ! [X25,X26] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
fof(f1139,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| leq(host(X0),index(pendack,nbr_proc))
| ~ setIn(sK6,alive) )
| ~ spl11_49
| ~ spl11_139 ),
inference(superposition,[],[f579,f1118]) ).
fof(f579,plain,
( ! [X26,X25] :
( ~ elem(m_Ack(X26,X25),queue(host(X26)))
| leq(host(X25),index(pendack,host(X26)))
| ~ setIn(X26,alive) )
| ~ spl11_49 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f2775,plain,
( spl11_291
| ~ spl11_270
| ~ spl11_293
| ~ spl11_40
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1135,f1116,f522,f2772,f2530,f2763]) ).
fof(f2763,plain,
( spl11_291
<=> sK6 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_291])]) ).
fof(f2772,plain,
( spl11_293
<=> elec_2 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_293])]) ).
fof(f522,plain,
( spl11_40
<=> ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_40])]) ).
fof(f1135,plain,
( elec_2 != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| sK6 = index(elid,nbr_proc)
| ~ spl11_40
| ~ spl11_139 ),
inference(superposition,[],[f523,f1118]) ).
fof(f523,plain,
( ! [X20] :
( elec_2 != index(status,host(X20))
| ~ setIn(X20,alive)
| index(elid,host(X20)) = X20 )
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f2770,plain,
( spl11_291
| ~ spl11_270
| ~ spl11_292
| ~ spl11_39
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1134,f1116,f518,f2767,f2530,f2763]) ).
fof(f2767,plain,
( spl11_292
<=> elec_1 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_292])]) ).
fof(f518,plain,
( spl11_39
<=> ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| elec_1 != index(status,host(X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_39])]) ).
fof(f1134,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| sK6 = index(elid,nbr_proc)
| ~ spl11_39
| ~ spl11_139 ),
inference(superposition,[],[f519,f1118]) ).
fof(f519,plain,
( ! [X20] :
( elec_1 != index(status,host(X20))
| ~ setIn(X20,alive)
| index(elid,host(X20)) = X20 )
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f2759,plain,
( ~ spl11_270
| spl11_290
| ~ spl11_38
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1132,f1116,f507,f2757,f2530]) ).
fof(f2757,plain,
( spl11_290
<=> ! [X0] :
( host(X0) != nbr_proc
| sK6 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_290])]) ).
fof(f507,plain,
( spl11_38
<=> ! [X27,X28] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_38])]) ).
fof(f1132,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 )
| ~ spl11_38
| ~ spl11_139 ),
inference(superposition,[],[f508,f1118]) ).
fof(f508,plain,
( ! [X28,X27] :
( host(X27) != host(X28)
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| X27 = X28 )
| ~ spl11_38 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f2751,plain,
( spl11_270
| ~ spl11_1
| ~ spl11_277 ),
inference(avatar_split_clause,[],[f2614,f2565,f326,f2530]) ).
fof(f326,plain,
( spl11_1
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f2614,plain,
( setIn(sK6,alive)
| ~ spl11_1
| ~ spl11_277 ),
inference(superposition,[],[f328,f2567]) ).
fof(f328,plain,
( setIn(sK3,alive)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f2734,plain,
( spl11_289
| ~ spl11_139
| ~ spl11_277
| ~ spl11_288 ),
inference(avatar_split_clause,[],[f2730,f2726,f2565,f1116,f2732]) ).
fof(f2732,plain,
( spl11_289
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(nbr_proc),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_289])]) ).
fof(f2726,plain,
( spl11_288
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK3)),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_288])]) ).
fof(f2730,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(nbr_proc),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_288 ),
inference(forward_demodulation,[],[f2729,f1118]) ).
fof(f2729,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK6)),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl11_277
| ~ spl11_288 ),
inference(forward_demodulation,[],[f2727,f2567]) ).
fof(f2727,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK3)),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl11_288 ),
inference(avatar_component_clause,[],[f2726]) ).
fof(f2728,plain,
( spl11_288
| ~ spl11_125
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1179,f1163,f1000,f2726]) ).
fof(f1000,plain,
( spl11_125
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_125])]) ).
fof(f1179,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK3)),X0))
| m_Halt(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl11_125
| ~ spl11_140 ),
inference(superposition,[],[f1001,f1164]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl11_125 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f2677,plain,
( spl11_287
| ~ spl11_139
| ~ spl11_277
| ~ spl11_286 ),
inference(avatar_split_clause,[],[f2673,f2669,f2565,f1116,f2675]) ).
fof(f2675,plain,
( spl11_287
<=> ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(nbr_proc),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_287])]) ).
fof(f2669,plain,
( spl11_286
<=> ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK3)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_286])]) ).
fof(f2673,plain,
( ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(nbr_proc),X0),X1)
| ~ spl11_139
| ~ spl11_277
| ~ spl11_286 ),
inference(forward_demodulation,[],[f2672,f1118]) ).
fof(f2672,plain,
( ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1)
| ~ spl11_277
| ~ spl11_286 ),
inference(forward_demodulation,[],[f2670,f2567]) ).
fof(f2670,plain,
( ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK3)),X0),X1)
| ~ spl11_286 ),
inference(avatar_component_clause,[],[f2669]) ).
fof(f2671,plain,
( spl11_286
| ~ spl11_124
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1178,f1163,f996,f2669]) ).
fof(f996,plain,
( spl11_124
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_124])]) ).
fof(f1178,plain,
( ! [X0,X1] : cons(m_Halt(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK3)),X0),X1)
| ~ spl11_124
| ~ spl11_140 ),
inference(superposition,[],[f997,f1164]) ).
fof(f997,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl11_124 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f2662,plain,
( spl11_285
| ~ spl11_139
| ~ spl11_277
| ~ spl11_284 ),
inference(avatar_split_clause,[],[f2658,f2654,f2565,f1116,f2660]) ).
fof(f2660,plain,
( spl11_285
<=> ! [X0] :
( ordered(snoc(queue(nbr_proc),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_285])]) ).
fof(f2654,plain,
( spl11_284
<=> ! [X0] :
( ordered(snoc(queue(host(sK3)),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_284])]) ).
fof(f2658,plain,
( ! [X0] :
( ordered(snoc(queue(nbr_proc),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_284 ),
inference(forward_demodulation,[],[f2657,f1118]) ).
fof(f2657,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK6)),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl11_277
| ~ spl11_284 ),
inference(forward_demodulation,[],[f2655,f2567]) ).
fof(f2655,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK3)),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl11_284 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2656,plain,
( spl11_284
| ~ spl11_110
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1177,f1163,f883,f2654]) ).
fof(f883,plain,
( spl11_110
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_110])]) ).
fof(f1177,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK3)),X0))
| ~ sP0(m_Halt(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl11_110
| ~ spl11_140 ),
inference(superposition,[],[f884,f1164]) ).
fof(f884,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl11_110 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f2636,plain,
( spl11_255
| ~ spl11_277 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2635,plain,
( $false
| spl11_255
| ~ spl11_277 ),
inference(trivial_inequality_removal,[],[f2633]) ).
fof(f2633,plain,
( m_Ack(sK4,sK6) != m_Ack(sK4,sK6)
| spl11_255
| ~ spl11_277 ),
inference(superposition,[],[f2359,f2567]) ).
fof(f2359,plain,
( m_Ack(sK4,sK3) != m_Ack(sK4,sK6)
| spl11_255 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2357,plain,
( spl11_255
<=> m_Ack(sK4,sK3) = m_Ack(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_255])]) ).
fof(f2613,plain,
( spl11_283
| ~ spl11_132
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1151,f1116,f1067,f2611]) ).
fof(f2611,plain,
( spl11_283
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_283])]) ).
fof(f1067,plain,
( spl11_132
<=> ! [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,[spl11_132])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl11_132
| ~ spl11_139 ),
inference(superposition,[],[f1068,f1118]) ).
fof(f1068,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl11_132 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f2609,plain,
( spl11_282
| ~ spl11_132
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1150,f1116,f1067,f2607]) ).
fof(f2607,plain,
( spl11_282
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_282])]) ).
fof(f1150,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl11_132
| ~ spl11_139 ),
inference(superposition,[],[f1068,f1118]) ).
fof(f2598,plain,
( spl11_281
| ~ spl11_139
| ~ spl11_277
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f2594,f2589,f2565,f1116,f2596]) ).
fof(f2596,plain,
( spl11_281
<=> ! [X0] :
( leq(host(X0),index(pendack,nbr_proc))
| ~ elem(m_Ack(sK6,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_281])]) ).
fof(f2589,plain,
( spl11_280
<=> ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| leq(host(X0),index(pendack,host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_280])]) ).
fof(f2594,plain,
( ! [X0] :
( leq(host(X0),index(pendack,nbr_proc))
| ~ elem(m_Ack(sK6,X0),sK2) )
| ~ spl11_139
| ~ spl11_277
| ~ spl11_280 ),
inference(forward_demodulation,[],[f2593,f1118]) ).
fof(f2593,plain,
( ! [X0] :
( leq(host(X0),index(pendack,host(sK6)))
| ~ elem(m_Ack(sK6,X0),sK2) )
| ~ spl11_277
| ~ spl11_280 ),
inference(forward_demodulation,[],[f2592,f2567]) ).
fof(f2592,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| leq(host(X0),index(pendack,host(sK3))) )
| ~ spl11_277
| ~ spl11_280 ),
inference(forward_demodulation,[],[f2590,f2567]) ).
fof(f2590,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| leq(host(X0),index(pendack,host(sK3))) )
| ~ spl11_280 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f2591,plain,
( ~ spl11_1
| spl11_280
| ~ spl11_49
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1158,f1108,f578,f2589,f326]) ).
fof(f1108,plain,
( spl11_137
<=> ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_137])]) ).
fof(f1158,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| leq(host(X0),index(pendack,host(sK3)))
| ~ setIn(sK3,alive) )
| ~ spl11_49
| ~ spl11_137 ),
inference(resolution,[],[f1109,f579]) ).
fof(f1109,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl11_137 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f2587,plain,
( spl11_279
| ~ spl11_71
| ~ spl11_273 ),
inference(avatar_split_clause,[],[f2548,f2545,f672,f2585]) ).
fof(f2585,plain,
( spl11_279
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_279])]) ).
fof(f2545,plain,
( spl11_273
<=> ! [X0] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_273])]) ).
fof(f2548,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl11_71
| ~ spl11_273 ),
inference(forward_demodulation,[],[f2546,f673]) ).
fof(f2546,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_273 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f2574,plain,
( spl11_278
| ~ spl11_71
| ~ spl11_275 ),
inference(avatar_split_clause,[],[f2563,f2556,f672,f2572]) ).
fof(f2556,plain,
( spl11_275
<=> ! [X0] : ~ elem(m_Halt(sK7),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_275])]) ).
fof(f2563,plain,
( ! [X0] : ~ elem(m_Halt(sK4),queue(host(X0)))
| ~ spl11_71
| ~ spl11_275 ),
inference(forward_demodulation,[],[f2557,f673]) ).
fof(f2557,plain,
( ! [X0] : ~ elem(m_Halt(sK7),queue(host(X0)))
| ~ spl11_275 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2568,plain,
( spl11_277
| ~ spl11_257 ),
inference(avatar_split_clause,[],[f2446,f2408,f2565]) ).
fof(f2408,plain,
( spl11_257
<=> ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK6 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_257])]) ).
fof(f2446,plain,
( sK3 = sK6
| ~ spl11_257 ),
inference(equality_resolution,[],[f2409]) ).
fof(f2409,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK6 = X1 )
| ~ spl11_257 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2562,plain,
( spl11_275
| ~ spl11_2
| spl11_276
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_139
| ~ spl11_169 ),
inference(avatar_split_clause,[],[f1421,f1410,f1116,f394,f378,f351,f2559,f331,f2556]) ).
fof(f1421,plain,
( ! [X0] :
( leq(nbr_proc,host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Halt(sK7),queue(host(X0))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_139
| ~ spl11_169 ),
inference(forward_demodulation,[],[f1420,f1118]) ).
fof(f1420,plain,
( ! [X0] :
( leq(host(sK6),host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Halt(sK7),queue(host(X0))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_169 ),
inference(forward_demodulation,[],[f1419,f396]) ).
fof(f1419,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Halt(sK7),queue(host(X0))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_169 ),
inference(trivial_inequality_removal,[],[f1418]) ).
fof(f1418,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK4)),host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Halt(sK7),queue(host(X0))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_169 ),
inference(forward_demodulation,[],[f1413,f380]) ).
fof(f1413,plain,
( ! [X0] :
( elec_2 != index(status,host(sK4))
| leq(index(pendack,host(sK4)),host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Halt(sK7),queue(host(X0))) )
| ~ spl11_6
| ~ spl11_169 ),
inference(superposition,[],[f1411,f353]) ).
fof(f2552,plain,
( spl11_274
| ~ spl11_6
| ~ spl11_160 ),
inference(avatar_split_clause,[],[f1359,f1354,f351,f2550]) ).
fof(f2550,plain,
( spl11_274
<=> ! [X0] :
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_274])]) ).
fof(f1354,plain,
( spl11_160
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_160])]) ).
fof(f1359,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_6
| ~ spl11_160 ),
inference(trivial_inequality_removal,[],[f1357]) ).
fof(f1357,plain,
( ! [X0] :
( host(sK4) != host(sK4)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_6
| ~ spl11_160 ),
inference(superposition,[],[f1355,f353]) ).
fof(f1355,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK4))) )
| ~ spl11_160 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f2547,plain,
( spl11_273
| ~ spl11_160 ),
inference(avatar_split_clause,[],[f1358,f1354,f2545]) ).
fof(f1358,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_160 ),
inference(equality_resolution,[],[f1355]) ).
fof(f2540,plain,
( ~ spl11_270
| spl11_272
| ~ spl11_37
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1131,f1116,f503,f2538,f2530]) ).
fof(f2538,plain,
( spl11_272
<=> ! [X0] :
( host(X0) != nbr_proc
| setIn(X0,alive)
| ~ leq(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_272])]) ).
fof(f503,plain,
( spl11_37
<=> ! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
fof(f1131,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK6,alive)
| ~ leq(sK6,X0)
| setIn(X0,alive) )
| ~ spl11_37
| ~ spl11_139 ),
inference(superposition,[],[f504,f1118]) ).
fof(f504,plain,
( ! [X29,X30] :
( host(X29) != host(X30)
| ~ setIn(X30,alive)
| ~ leq(X30,X29)
| setIn(X29,alive) )
| ~ spl11_37 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f2536,plain,
( spl11_270
| spl11_271
| ~ spl11_37
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1130,f1116,f503,f2534,f2530]) ).
fof(f2534,plain,
( spl11_271
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ leq(X0,sK6)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_271])]) ).
fof(f1130,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ leq(X0,sK6)
| setIn(sK6,alive) )
| ~ spl11_37
| ~ spl11_139 ),
inference(superposition,[],[f504,f1118]) ).
fof(f2526,plain,
( spl11_44
| ~ spl11_2
| ~ spl11_71 ),
inference(avatar_split_clause,[],[f1803,f672,f331,f552]) ).
fof(f1803,plain,
( setIn(sK4,alive)
| ~ spl11_2
| ~ spl11_71 ),
inference(superposition,[],[f333,f673]) ).
fof(f333,plain,
( setIn(sK7,alive)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f2521,plain,
( ~ spl11_269
| ~ spl11_92
| spl11_181 ),
inference(avatar_split_clause,[],[f1539,f1531,f771,f2518]) ).
fof(f2518,plain,
( spl11_269
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_269])]) ).
fof(f1531,plain,
( spl11_181
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_181])]) ).
fof(f1539,plain,
( ~ leq(nbr_proc,zero)
| ~ spl11_92
| spl11_181 ),
inference(resolution,[],[f1533,f772]) ).
fof(f1533,plain,
( ~ leq(nbr_proc,s(zero))
| spl11_181 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f2516,plain,
( spl11_268
| ~ spl11_45
| ~ spl11_170 ),
inference(avatar_split_clause,[],[f1455,f1426,f560,f2513]) ).
fof(f2513,plain,
( spl11_268
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_268])]) ).
fof(f1455,plain,
( leq(zero,nbr_proc)
| ~ spl11_45
| ~ spl11_170 ),
inference(resolution,[],[f1427,f562]) ).
fof(f2511,plain,
( spl11_166
| spl11_267
| ~ spl11_154 ),
inference(avatar_split_clause,[],[f1329,f1283,f2509,f1392]) ).
fof(f1392,plain,
( spl11_166
<=> leq(sK7,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_166])]) ).
fof(f2509,plain,
( spl11_267
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_267])]) ).
fof(f1283,plain,
( spl11_154
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_154])]) ).
fof(f1329,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK7,sK4)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl11_154 ),
inference(equality_resolution,[],[f1284]) ).
fof(f1284,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl11_154 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f2506,plain,
( spl11_266
| ~ spl11_139
| ~ spl11_257
| ~ spl11_264 ),
inference(avatar_split_clause,[],[f2475,f2471,f2408,f1116,f2504]) ).
fof(f2504,plain,
( spl11_266
<=> ! [X0,X1] :
( elem(X1,snoc(queue(nbr_proc),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_266])]) ).
fof(f2471,plain,
( spl11_264
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK3)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_264])]) ).
fof(f2475,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(nbr_proc),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl11_139
| ~ spl11_257
| ~ spl11_264 ),
inference(forward_demodulation,[],[f2474,f1118]) ).
fof(f2474,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK6)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl11_257
| ~ spl11_264 ),
inference(forward_demodulation,[],[f2472,f2446]) ).
fof(f2472,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK3)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl11_264 ),
inference(avatar_component_clause,[],[f2471]) ).
fof(f2497,plain,
( ~ spl11_34
| spl11_265 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| ~ spl11_34
| spl11_265 ),
inference(resolution,[],[f2492,f492]) ).
fof(f2492,plain,
( ~ leq(sK4,sK4)
| spl11_265 ),
inference(avatar_component_clause,[],[f2490]) ).
fof(f2490,plain,
( spl11_265
<=> leq(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_265])]) ).
fof(f2493,plain,
( ~ spl11_265
| ~ spl11_43
| ~ spl11_69
| spl11_166 ),
inference(avatar_split_clause,[],[f1510,f1392,f659,f548,f2490]) ).
fof(f548,plain,
( spl11_43
<=> sK4 = index(elid,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
fof(f659,plain,
( spl11_69
<=> sK7 = index(elid,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_69])]) ).
fof(f1510,plain,
( ~ leq(sK4,sK4)
| ~ spl11_43
| ~ spl11_69
| spl11_166 ),
inference(forward_demodulation,[],[f1394,f1501]) ).
fof(f1501,plain,
( sK4 = sK7
| ~ spl11_43
| ~ spl11_69 ),
inference(superposition,[],[f550,f661]) ).
fof(f661,plain,
( sK7 = index(elid,host(sK4))
| ~ spl11_69 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f550,plain,
( sK4 = index(elid,host(sK4))
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1394,plain,
( ~ leq(sK7,sK4)
| spl11_166 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f2476,plain,
( spl11_71
| ~ spl11_254 ),
inference(avatar_split_clause,[],[f2444,f2347,f672]) ).
fof(f2347,plain,
( spl11_254
<=> ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK7 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_254])]) ).
fof(f2444,plain,
( sK4 = sK7
| ~ spl11_254 ),
inference(equality_resolution,[],[f2348]) ).
fof(f2348,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK7 = X0 )
| ~ spl11_254 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2473,plain,
( spl11_264
| ~ spl11_106
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1176,f1163,f848,f2471]) ).
fof(f848,plain,
( spl11_106
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_106])]) ).
fof(f1176,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK3)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl11_106
| ~ spl11_140 ),
inference(superposition,[],[f849,f1164]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl11_106 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2469,plain,
( spl11_263
| ~ spl11_139
| ~ spl11_257
| ~ spl11_262 ),
inference(avatar_split_clause,[],[f2465,f2461,f2408,f1116,f2467]) ).
fof(f2467,plain,
( spl11_263
<=> ! [X0] :
( ~ ordered(snoc(queue(nbr_proc),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_263])]) ).
fof(f2461,plain,
( spl11_262
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK3)),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_262])]) ).
fof(f2465,plain,
( ! [X0] :
( ~ ordered(snoc(queue(nbr_proc),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) )
| ~ spl11_139
| ~ spl11_257
| ~ spl11_262 ),
inference(forward_demodulation,[],[f2464,f1118]) ).
fof(f2464,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) )
| ~ spl11_257
| ~ spl11_262 ),
inference(forward_demodulation,[],[f2462,f2446]) ).
fof(f2462,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK3)),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) )
| ~ spl11_262 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f2463,plain,
( spl11_262
| ~ spl11_89
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1175,f1163,f759,f2461]) ).
fof(f759,plain,
( spl11_89
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_89])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK3)),X0))
| sP0(m_Halt(sK4),snoc(sK2,X0)) )
| ~ spl11_89
| ~ spl11_140 ),
inference(superposition,[],[f760,f1164]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl11_89 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f2456,plain,
( spl11_261
| ~ spl11_24
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1129,f1116,f443,f2454]) ).
fof(f2454,plain,
( spl11_261
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_261])]) ).
fof(f443,plain,
( spl11_24
<=> ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ leq(host(X1),host(X0)) )
| ~ spl11_24
| ~ spl11_139 ),
inference(superposition,[],[f444,f1118]) ).
fof(f444,plain,
( ! [X31,X32,X33] :
( ~ elem(m_Ack(X33,X31),queue(host(X32)))
| ~ leq(host(X31),host(X33)) )
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f2450,plain,
( spl11_260
| ~ spl11_112
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1106,f1099,f891,f2448]) ).
fof(f2448,plain,
( spl11_260
<=> ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK6) = X0
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_260])]) ).
fof(f891,plain,
( spl11_112
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_112])]) ).
fof(f1099,plain,
( spl11_136
<=> ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_136])]) ).
fof(f1106,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK6) = X0
| ~ leq(host(sK6),X0) )
| ~ spl11_112
| ~ spl11_136 ),
inference(resolution,[],[f1100,f892]) ).
fof(f892,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl11_112 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1100,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) )
| ~ spl11_136 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f2419,plain,
( ~ spl11_258
| ~ spl11_259
| ~ spl11_6
| ~ spl11_155 ),
inference(avatar_split_clause,[],[f1323,f1287,f351,f2416,f2412]) ).
fof(f2412,plain,
( spl11_258
<=> elem(m_Ack(sK7,sK7),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_258])]) ).
fof(f2416,plain,
( spl11_259
<=> nbr_proc = host(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_259])]) ).
fof(f1287,plain,
( spl11_155
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_155])]) ).
fof(f1323,plain,
( nbr_proc != host(sK4)
| ~ elem(m_Ack(sK7,sK7),queue(nbr_proc))
| ~ spl11_6
| ~ spl11_155 ),
inference(inner_rewriting,[],[f1320]) ).
fof(f1320,plain,
( nbr_proc != host(sK4)
| ~ elem(m_Ack(sK7,sK7),queue(host(sK4)))
| ~ spl11_6
| ~ spl11_155 ),
inference(superposition,[],[f1288,f353]) ).
fof(f1288,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_155 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f2410,plain,
( spl11_257
| ~ spl11_121
| ~ spl11_148 ),
inference(avatar_split_clause,[],[f1259,f1216,f957,f2408]) ).
fof(f957,plain,
( spl11_121
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_121])]) ).
fof(f1216,plain,
( spl11_148
<=> m_Ack(sK4,sK3) = m_Ack(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_148])]) ).
fof(f1259,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK6 = X1 )
| ~ spl11_121
| ~ spl11_148 ),
inference(superposition,[],[f958,f1218]) ).
fof(f1218,plain,
( m_Ack(sK4,sK3) = m_Ack(sK7,sK6)
| ~ spl11_148 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 )
| ~ spl11_121 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f2380,plain,
( ~ spl11_147
| ~ spl11_139
| ~ spl11_155 ),
inference(avatar_split_clause,[],[f1322,f1287,f1116,f1212]) ).
fof(f1212,plain,
( spl11_147
<=> elem(m_Ack(sK7,sK6),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_147])]) ).
fof(f1322,plain,
( ~ elem(m_Ack(sK7,sK6),queue(host(sK4)))
| ~ spl11_139
| ~ spl11_155 ),
inference(trivial_inequality_removal,[],[f1321]) ).
fof(f1321,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Ack(sK7,sK6),queue(host(sK4)))
| ~ spl11_139
| ~ spl11_155 ),
inference(superposition,[],[f1288,f1118]) ).
fof(f2377,plain,
( ~ spl11_256
| ~ spl11_6
| ~ spl11_24
| ~ spl11_139
| ~ spl11_147 ),
inference(avatar_split_clause,[],[f1224,f1212,f1116,f443,f351,f2374]) ).
fof(f2374,plain,
( spl11_256
<=> leq(nbr_proc,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_256])]) ).
fof(f1224,plain,
( ~ leq(nbr_proc,host(sK4))
| ~ spl11_6
| ~ spl11_24
| ~ spl11_139
| ~ spl11_147 ),
inference(forward_demodulation,[],[f1223,f1118]) ).
fof(f1223,plain,
( ~ leq(host(sK6),host(sK4))
| ~ spl11_6
| ~ spl11_24
| ~ spl11_147 ),
inference(forward_demodulation,[],[f1221,f353]) ).
fof(f1221,plain,
( ~ leq(host(sK6),host(sK7))
| ~ spl11_24
| ~ spl11_147 ),
inference(resolution,[],[f1214,f444]) ).
fof(f1214,plain,
( elem(m_Ack(sK7,sK6),queue(host(sK4)))
| ~ spl11_147 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f2361,plain,
( spl11_236
| ~ spl11_71
| ~ spl11_147 ),
inference(avatar_split_clause,[],[f2355,f1212,f672,f2234]) ).
fof(f2234,plain,
( spl11_236
<=> elem(m_Ack(sK4,sK6),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_236])]) ).
fof(f2355,plain,
( elem(m_Ack(sK4,sK6),queue(host(sK4)))
| ~ spl11_71
| ~ spl11_147 ),
inference(forward_demodulation,[],[f1214,f673]) ).
fof(f2360,plain,
( ~ spl11_255
| ~ spl11_71
| spl11_148 ),
inference(avatar_split_clause,[],[f2351,f1216,f672,f2357]) ).
fof(f2351,plain,
( m_Ack(sK4,sK3) != m_Ack(sK4,sK6)
| ~ spl11_71
| spl11_148 ),
inference(forward_demodulation,[],[f1217,f673]) ).
fof(f1217,plain,
( m_Ack(sK4,sK3) != m_Ack(sK7,sK6)
| spl11_148 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f2349,plain,
( spl11_254
| ~ spl11_120
| ~ spl11_148 ),
inference(avatar_split_clause,[],[f1257,f1216,f953,f2347]) ).
fof(f953,plain,
( spl11_120
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_120])]) ).
fof(f1257,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK4,sK3)
| sK7 = X0 )
| ~ spl11_120
| ~ spl11_148 ),
inference(superposition,[],[f954,f1218]) ).
fof(f954,plain,
( ! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 )
| ~ spl11_120 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f2342,plain,
( spl11_253
| ~ spl11_77
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1174,f1163,f700,f2340]) ).
fof(f2340,plain,
( spl11_253
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK3)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_253])]) ).
fof(f700,plain,
( spl11_77
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_77])]) ).
fof(f1174,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK3)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl11_77
| ~ spl11_140 ),
inference(superposition,[],[f701,f1164]) ).
fof(f701,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl11_77 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f2338,plain,
( spl11_252
| ~ spl11_73
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1173,f1163,f684,f2336]) ).
fof(f2336,plain,
( spl11_252
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK3)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_252])]) ).
fof(f684,plain,
( spl11_73
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_73])]) ).
fof(f1173,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK3)),X0))
| ~ spl11_73
| ~ spl11_140 ),
inference(superposition,[],[f685,f1164]) ).
fof(f685,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl11_73 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f2334,plain,
( spl11_251
| ~ spl11_24
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1160,f1108,f443,f2332]) ).
fof(f2332,plain,
( spl11_251
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_251])]) ).
fof(f1160,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl11_24
| ~ spl11_137 ),
inference(resolution,[],[f1109,f444]) ).
fof(f2329,plain,
( spl11_250
| ~ spl11_113
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1105,f1099,f895,f2327]) ).
fof(f2327,plain,
( spl11_250
<=> ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK6))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_250])]) ).
fof(f895,plain,
( spl11_113
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_113])]) ).
fof(f1105,plain,
( ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK6))
| ~ leq(X1,X0) )
| ~ spl11_113
| ~ spl11_136 ),
inference(resolution,[],[f1100,f896]) ).
fof(f896,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl11_113 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f2294,plain,
( spl11_249
| ~ spl11_113
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1703,f1487,f895,f2292]) ).
fof(f2292,plain,
( spl11_249
<=> ! [X0] :
( leq(X0,sK7)
| ~ leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_249])]) ).
fof(f1487,plain,
( spl11_177
<=> leq(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_177])]) ).
fof(f1703,plain,
( ! [X0] :
( leq(X0,sK7)
| ~ leq(X0,sK4) )
| ~ spl11_113
| ~ spl11_177 ),
inference(resolution,[],[f1489,f896]) ).
fof(f1489,plain,
( leq(sK4,sK7)
| ~ spl11_177 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f2290,plain,
( spl11_248
| ~ spl11_72
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1172,f1163,f680,f2288]) ).
fof(f2288,plain,
( spl11_248
<=> ! [X0] : m_Halt(sK4) = head(snoc(queue(host(sK3)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_248])]) ).
fof(f680,plain,
( spl11_72
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_72])]) ).
fof(f1172,plain,
( ! [X0] : m_Halt(sK4) = head(snoc(queue(host(sK3)),X0))
| ~ spl11_72
| ~ spl11_140 ),
inference(superposition,[],[f681,f1164]) ).
fof(f681,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl11_72 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f2286,plain,
( spl11_247
| ~ spl11_19
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1161,f1108,f419,f2284]) ).
fof(f419,plain,
( spl11_19
<=> ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f1161,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK3),host(X0)) )
| ~ spl11_19
| ~ spl11_137 ),
inference(resolution,[],[f1109,f420]) ).
fof(f420,plain,
( ! [X34,X35] :
( ~ elem(m_Ldr(X35),queue(host(X34)))
| ~ leq(host(X34),host(X35)) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f2282,plain,
( spl11_246
| ~ spl11_117
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1147,f1116,f941,f2280]) ).
fof(f2280,plain,
( spl11_246
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_246])]) ).
fof(f941,plain,
( spl11_117
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_117])]) ).
fof(f1147,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| setIn(X0,pids) )
| ~ spl11_117
| ~ spl11_139 ),
inference(superposition,[],[f942,f1118]) ).
fof(f942,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl11_117 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f2278,plain,
( spl11_245
| ~ spl11_19
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1128,f1116,f419,f2276]) ).
fof(f2276,plain,
( spl11_245
<=> ! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_245])]) ).
fof(f1128,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) )
| ~ spl11_19
| ~ spl11_139 ),
inference(superposition,[],[f420,f1118]) ).
fof(f2274,plain,
( spl11_150
| spl11_244
| ~ spl11_18
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1127,f1116,f414,f2272,f1240]) ).
fof(f1240,plain,
( spl11_150
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_150])]) ).
fof(f2272,plain,
( spl11_244
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_244])]) ).
fof(f414,plain,
( spl11_18
<=> ! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f1127,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| setIn(sK6,pids) )
| ~ spl11_18
| ~ spl11_139 ),
inference(superposition,[],[f415,f1118]) ).
fof(f415,plain,
( ! [X38,X39] :
( ~ elem(m_Ack(X39,X38),queue(host(X39)))
| setIn(X39,pids) )
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f2267,plain,
( spl11_243
| ~ spl11_67
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1171,f1163,f651,f2265]) ).
fof(f2265,plain,
( spl11_243
<=> ! [X0] : elem(m_Halt(sK4),snoc(queue(host(sK3)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_243])]) ).
fof(f651,plain,
( spl11_67
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_67])]) ).
fof(f1171,plain,
( ! [X0] : elem(m_Halt(sK4),snoc(queue(host(sK3)),X0))
| ~ spl11_67
| ~ spl11_140 ),
inference(superposition,[],[f652,f1164]) ).
fof(f652,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl11_67 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f2263,plain,
( spl11_241
| spl11_242
| ~ spl11_18
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1159,f1108,f414,f2261,f2257]) ).
fof(f2257,plain,
( spl11_241
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_241])]) ).
fof(f2261,plain,
( spl11_242
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_242])]) ).
fof(f1159,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(sK3,pids) )
| ~ spl11_18
| ~ spl11_137 ),
inference(resolution,[],[f1109,f415]) ).
fof(f2255,plain,
( spl11_240
| ~ spl11_117
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1157,f1108,f941,f2253]) ).
fof(f2253,plain,
( spl11_240
<=> ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_240])]) ).
fof(f1157,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(X0,pids) )
| ~ spl11_117
| ~ spl11_137 ),
inference(resolution,[],[f1109,f942]) ).
fof(f2251,plain,
( ~ spl11_238
| spl11_239
| ~ spl11_122
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1155,f1116,f988,f2249,f2245]) ).
fof(f2245,plain,
( spl11_238
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_238])]) ).
fof(f2249,plain,
( spl11_239
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl11_239])]) ).
fof(f988,plain,
( spl11_122
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_122])]) ).
fof(f1155,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) )
| ~ spl11_122
| ~ spl11_139 ),
inference(inner_rewriting,[],[f1154]) ).
fof(f1154,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| nbr_proc != s(nbr_proc) )
| ~ spl11_122
| ~ spl11_139 ),
inference(inner_rewriting,[],[f1148]) ).
fof(f1148,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != nbr_proc )
| ~ spl11_122
| ~ spl11_139 ),
inference(superposition,[],[f989,f1118]) ).
fof(f989,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl11_122 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f2243,plain,
( spl11_237
| ~ spl11_17
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1126,f1116,f409,f2241]) ).
fof(f2241,plain,
( spl11_237
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_237])]) ).
fof(f1126,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(X0,alive) )
| ~ spl11_17
| ~ spl11_139 ),
inference(superposition,[],[f410,f1118]) ).
fof(f2237,plain,
( ~ spl11_236
| ~ spl11_139
| ~ spl11_178 ),
inference(avatar_split_clause,[],[f1762,f1504,f1116,f2234]) ).
fof(f1504,plain,
( spl11_178
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Ack(sK4,X0),queue(host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_178])]) ).
fof(f1762,plain,
( ~ elem(m_Ack(sK4,sK6),queue(host(sK4)))
| ~ spl11_139
| ~ spl11_178 ),
inference(trivial_inequality_removal,[],[f1761]) ).
fof(f1761,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Ack(sK4,sK6),queue(host(sK4)))
| ~ spl11_139
| ~ spl11_178 ),
inference(superposition,[],[f1505,f1118]) ).
fof(f1505,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Ack(sK4,X0),queue(host(sK4))) )
| ~ spl11_178 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f2228,plain,
( spl11_235
| ~ spl11_17
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1156,f1108,f409,f2226]) ).
fof(f2226,plain,
( spl11_235
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_235])]) ).
fof(f1156,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl11_17
| ~ spl11_137 ),
inference(resolution,[],[f1109,f410]) ).
fof(f2200,plain,
( spl11_234
| ~ spl11_51
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1095,f1083,f587,f2198]) ).
fof(f2198,plain,
( spl11_234
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_234])]) ).
fof(f587,plain,
( spl11_51
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).
fof(f1083,plain,
( spl11_135
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_135])]) ).
fof(f1095,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl11_51
| ~ spl11_135 ),
inference(superposition,[],[f1084,f588]) ).
fof(f588,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1084,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) )
| ~ spl11_135 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2194,plain,
( spl11_233
| ~ spl11_50
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1094,f1083,f583,f2192]) ).
fof(f2192,plain,
( spl11_233
<=> ! [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,[spl11_233])]) ).
fof(f583,plain,
( spl11_50
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
fof(f1094,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) )
| ~ spl11_50
| ~ spl11_135 ),
inference(superposition,[],[f1084,f584]) ).
fof(f584,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f2190,plain,
( spl11_232
| ~ spl11_51
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1093,f1083,f587,f2188]) ).
fof(f2188,plain,
( spl11_232
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_232])]) ).
fof(f1093,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl11_51
| ~ spl11_135 ),
inference(superposition,[],[f1084,f588]) ).
fof(f2186,plain,
( spl11_231
| ~ spl11_50
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1092,f1083,f583,f2184]) ).
fof(f2184,plain,
( spl11_231
<=> ! [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,[spl11_231])]) ).
fof(f1092,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) )
| ~ spl11_50
| ~ spl11_135 ),
inference(superposition,[],[f1084,f584]) ).
fof(f2182,plain,
( spl11_230
| ~ spl11_51
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1089,f1079,f587,f2180]) ).
fof(f2180,plain,
( spl11_230
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_230])]) ).
fof(f1079,plain,
( spl11_134
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_134])]) ).
fof(f1089,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl11_51
| ~ spl11_134 ),
inference(superposition,[],[f1080,f588]) ).
fof(f1080,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) )
| ~ spl11_134 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f2178,plain,
( spl11_229
| ~ spl11_50
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1088,f1079,f583,f2176]) ).
fof(f2176,plain,
( spl11_229
<=> ! [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,[spl11_229])]) ).
fof(f1088,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) )
| ~ spl11_50
| ~ spl11_134 ),
inference(superposition,[],[f1080,f584]) ).
fof(f2174,plain,
( spl11_228
| ~ spl11_51
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1087,f1079,f587,f2172]) ).
fof(f2172,plain,
( spl11_228
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_228])]) ).
fof(f1087,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl11_51
| ~ spl11_134 ),
inference(superposition,[],[f1080,f588]) ).
fof(f2170,plain,
( spl11_227
| ~ spl11_50
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1086,f1079,f583,f2168]) ).
fof(f2168,plain,
( spl11_227
<=> ! [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,[spl11_227])]) ).
fof(f1086,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) )
| ~ spl11_50
| ~ spl11_134 ),
inference(superposition,[],[f1080,f584]) ).
fof(f2164,plain,
( spl11_226
| ~ spl11_90
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1065,f1051,f763,f2162]) ).
fof(f2162,plain,
( spl11_226
<=> ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK8(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK8(sK10(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_226])]) ).
fof(f763,plain,
( spl11_90
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_90])]) ).
fof(f1051,plain,
( spl11_129
<=> ! [X0] :
( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_129])]) ).
fof(f1065,plain,
( ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK8(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK8(sK10(X0,X1)))
| sP1(X0,X1) )
| ~ spl11_90
| ~ spl11_129 ),
inference(resolution,[],[f1052,f764]) ).
fof(f764,plain,
( ! [X0,X1] :
( pidElem(sK10(X0,X1))
| sP1(X0,X1) )
| ~ spl11_90 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1052,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK8(X0)) = X0
| m_Down(sK8(X0)) = X0 )
| ~ spl11_129 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f2160,plain,
( spl11_225
| ~ spl11_88
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1064,f1051,f755,f2158]) ).
fof(f2158,plain,
( spl11_225
<=> ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK8(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK8(sK9(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_225])]) ).
fof(f755,plain,
( spl11_88
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_88])]) ).
fof(f1064,plain,
( ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK8(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK8(sK9(X0,X1)))
| sP0(X0,X1) )
| ~ spl11_88
| ~ spl11_129 ),
inference(resolution,[],[f1052,f756]) ).
fof(f756,plain,
( ! [X0,X1] :
( pidElem(sK9(X0,X1))
| sP0(X0,X1) )
| ~ spl11_88 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f2094,plain,
( spl11_224
| ~ spl11_104
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f1037,f1004,f840,f2092]) ).
fof(f2092,plain,
( spl11_224
<=> ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_224])]) ).
fof(f1004,plain,
( spl11_126
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_126])]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl11_104
| ~ spl11_126 ),
inference(resolution,[],[f1005,f841]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl11_126 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f2090,plain,
( spl11_223
| ~ spl11_103
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f1036,f1004,f836,f2088]) ).
fof(f2088,plain,
( spl11_223
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_223])]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl11_103
| ~ spl11_126 ),
inference(resolution,[],[f1005,f837]) ).
fof(f2086,plain,
( spl11_222
| ~ spl11_104
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1028,f1000,f840,f2084]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl11_104
| ~ spl11_125 ),
inference(resolution,[],[f1001,f841]) ).
fof(f2080,plain,
( spl11_221
| ~ spl11_20
| ~ spl11_71 ),
inference(avatar_split_clause,[],[f1804,f672,f423,f2077]) ).
fof(f2077,plain,
( spl11_221
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_221])]) ).
fof(f423,plain,
( spl11_20
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f1804,plain,
( setIn(sK4,pids)
| ~ spl11_20
| ~ spl11_71 ),
inference(superposition,[],[f425,f673]) ).
fof(f425,plain,
( setIn(sK7,pids)
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f2075,plain,
( spl11_220
| ~ spl11_103
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1027,f1000,f836,f2073]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl11_103
| ~ spl11_125 ),
inference(resolution,[],[f1001,f837]) ).
fof(f2044,plain,
( spl11_219
| ~ spl11_124
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f1040,f1004,f996,f2042]) ).
fof(f2042,plain,
( spl11_219
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_219])]) ).
fof(f1040,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl11_124
| ~ spl11_126 ),
inference(superposition,[],[f1005,f997]) ).
fof(f2040,plain,
( spl11_218
| ~ spl11_111
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1022,f996,f887,f2038]) ).
fof(f2038,plain,
( spl11_218
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_218])]) ).
fof(f887,plain,
( spl11_111
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_111])]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_111
| ~ spl11_124 ),
inference(superposition,[],[f888,f997]) ).
fof(f888,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl11_111 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f1962,plain,
( spl11_217
| ~ spl11_35
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1063,f1051,f495,f1960]) ).
fof(f495,plain,
( spl11_35
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
fof(f1063,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK8(m_Down(X0)))
| m_Down(X0) = m_Down(sK8(m_Down(X0))) )
| ~ spl11_35
| ~ spl11_129 ),
inference(resolution,[],[f1052,f496]) ).
fof(f496,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1958,plain,
( spl11_216
| ~ spl11_36
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1062,f1051,f499,f1956]) ).
fof(f499,plain,
( spl11_36
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
fof(f1062,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK8(m_Halt(X0))) )
| ~ spl11_36
| ~ spl11_129 ),
inference(resolution,[],[f1052,f500]) ).
fof(f500,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f1954,plain,
( spl11_215
| ~ spl11_116
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f1039,f1004,f937,f1952]) ).
fof(f1952,plain,
( spl11_215
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_215])]) ).
fof(f937,plain,
( spl11_116
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_116])]) ).
fof(f1039,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl11_116
| ~ spl11_126 ),
inference(superposition,[],[f1005,f938]) ).
fof(f938,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl11_116 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f1950,plain,
( spl11_214
| ~ spl11_115
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1030,f1000,f933,f1948]) ).
fof(f1948,plain,
( spl11_214
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_214])]) ).
fof(f933,plain,
( spl11_115
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_115])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_125 ),
inference(superposition,[],[f1001,f934]) ).
fof(f934,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl11_115 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1946,plain,
( spl11_213
| ~ spl11_115
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1014,f996,f933,f1944]) ).
fof(f1944,plain,
( spl11_213
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_213])]) ).
fof(f1014,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_124 ),
inference(superposition,[],[f997,f934]) ).
fof(f1903,plain,
( spl11_212
| ~ spl11_111
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f975,f937,f887,f1901]) ).
fof(f1901,plain,
( spl11_212
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_212])]) ).
fof(f975,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl11_111
| ~ spl11_116 ),
inference(superposition,[],[f888,f938]) ).
fof(f1899,plain,
( spl11_211
| ~ spl11_110
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f967,f933,f883,f1897]) ).
fof(f1897,plain,
( spl11_211
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_211])]) ).
fof(f967,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_110
| ~ spl11_115 ),
inference(superposition,[],[f884,f934]) ).
fof(f1887,plain,
( spl11_210
| ~ spl11_100
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f911,f891,f823,f1885]) ).
fof(f1885,plain,
( spl11_210
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_210])]) ).
fof(f911,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl11_100
| ~ spl11_112 ),
inference(resolution,[],[f892,f824]) ).
fof(f1852,plain,
( spl11_209
| ~ spl11_105
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1024,f996,f844,f1850]) ).
fof(f1850,plain,
( spl11_209
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_209])]) ).
fof(f844,plain,
( spl11_105
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_105])]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_105
| ~ spl11_124 ),
inference(superposition,[],[f845,f997]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl11_105 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1848,plain,
( spl11_208
| ~ spl11_107
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1021,f996,f852,f1846]) ).
fof(f1846,plain,
( spl11_208
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_208])]) ).
fof(f852,plain,
( spl11_107
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_107])]) ).
fof(f1021,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl11_107
| ~ spl11_124 ),
inference(superposition,[],[f853,f997]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl11_107 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1844,plain,
( spl11_207
| ~ spl11_100
| ~ spl11_123 ),
inference(avatar_split_clause,[],[f1012,f992,f823,f1842]) ).
fof(f1842,plain,
( spl11_207
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_207])]) ).
fof(f992,plain,
( spl11_123
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_123])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl11_100
| ~ spl11_123 ),
inference(resolution,[],[f993,f824]) ).
fof(f993,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl11_123 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1767,plain,
( spl11_206
| ~ spl11_87
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1023,f996,f751,f1765]) ).
fof(f1765,plain,
( spl11_206
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_206])]) ).
fof(f751,plain,
( spl11_87
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_87])]) ).
fof(f1023,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_87
| ~ spl11_124 ),
inference(superposition,[],[f752,f997]) ).
fof(f752,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl11_87 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1757,plain,
( spl11_205
| ~ spl11_177
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f1702,f1595,f1487,f1755]) ).
fof(f1755,plain,
( spl11_205
<=> ! [X0] :
( leq(sK4,X0)
| leq(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_205])]) ).
fof(f1595,plain,
( spl11_187
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_187])]) ).
fof(f1702,plain,
( ! [X0] :
( leq(sK4,X0)
| leq(X0,sK7) )
| ~ spl11_177
| ~ spl11_187 ),
inference(resolution,[],[f1489,f1596]) ).
fof(f1596,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl11_187 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1753,plain,
( spl11_204
| ~ spl11_91
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1020,f996,f767,f1751]) ).
fof(f1751,plain,
( spl11_204
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_204])]) ).
fof(f767,plain,
( spl11_91
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_91])]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl11_91
| ~ spl11_124 ),
inference(superposition,[],[f768,f997]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl11_91 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f1749,plain,
( spl11_203
| ~ spl11_76
| ~ spl11_123 ),
inference(avatar_split_clause,[],[f1010,f992,f696,f1747]) ).
fof(f1747,plain,
( spl11_203
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_203])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl11_76
| ~ spl11_123 ),
inference(resolution,[],[f993,f697]) ).
fof(f1745,plain,
( spl11_202
| ~ spl11_51
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f984,f949,f587,f1743]) ).
fof(f1743,plain,
( spl11_202
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_202])]) ).
fof(f949,plain,
( spl11_119
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_119])]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl11_51
| ~ spl11_119 ),
inference(superposition,[],[f950,f588]) ).
fof(f950,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl11_119 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1741,plain,
( spl11_201
| ~ spl11_50
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f983,f949,f583,f1739]) ).
fof(f1739,plain,
( spl11_201
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_201])]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl11_50
| ~ spl11_119 ),
inference(superposition,[],[f950,f584]) ).
fof(f1737,plain,
( spl11_200
| ~ spl11_51
| ~ spl11_118 ),
inference(avatar_split_clause,[],[f980,f945,f587,f1735]) ).
fof(f1735,plain,
( spl11_200
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_200])]) ).
fof(f945,plain,
( spl11_118
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_118])]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl11_51
| ~ spl11_118 ),
inference(superposition,[],[f946,f588]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
| sP0(X0,X1) )
| ~ spl11_118 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1733,plain,
( spl11_199
| ~ spl11_50
| ~ spl11_118 ),
inference(avatar_split_clause,[],[f979,f945,f583,f1731]) ).
fof(f1731,plain,
( spl11_199
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_199])]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl11_50
| ~ spl11_118 ),
inference(superposition,[],[f946,f584]) ).
fof(f1729,plain,
( spl11_198
| ~ spl11_100
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f920,f895,f823,f1727]) ).
fof(f1727,plain,
( spl11_198
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_198])]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl11_100
| ~ spl11_113 ),
inference(resolution,[],[f896,f824]) ).
fof(f1725,plain,
( spl11_197
| ~ spl11_92
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f907,f891,f771,f1723]) ).
fof(f1723,plain,
( spl11_197
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_197])]) ).
fof(f907,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl11_92
| ~ spl11_112 ),
inference(resolution,[],[f892,f772]) ).
fof(f1648,plain,
( spl11_196
| ~ spl11_78
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1019,f996,f704,f1646]) ).
fof(f1646,plain,
( spl11_196
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_196])]) ).
fof(f704,plain,
( spl11_78
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_78])]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl11_78
| ~ spl11_124 ),
inference(superposition,[],[f705,f997]) ).
fof(f705,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl11_78 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f1644,plain,
( spl11_195
| ~ spl11_74
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1017,f996,f688,f1642]) ).
fof(f1642,plain,
( spl11_195
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_195])]) ).
fof(f688,plain,
( spl11_74
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_74])]) ).
fof(f1017,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl11_74
| ~ spl11_124 ),
inference(superposition,[],[f689,f997]) ).
fof(f689,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl11_74 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f1640,plain,
( spl11_194
| ~ spl11_76
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f981,f949,f696,f1638]) ).
fof(f1638,plain,
( spl11_194
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_194])]) ).
fof(f981,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK10(X0,X1))) )
| ~ spl11_76
| ~ spl11_119 ),
inference(resolution,[],[f950,f697]) ).
fof(f1636,plain,
( spl11_177
| ~ spl11_76
| spl11_166 ),
inference(avatar_split_clause,[],[f1433,f1392,f696,f1487]) ).
fof(f1433,plain,
( leq(sK4,sK7)
| ~ spl11_76
| spl11_166 ),
inference(resolution,[],[f1394,f697]) ).
fof(f1635,plain,
( spl11_193
| ~ spl11_107
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f974,f937,f852,f1633]) ).
fof(f1633,plain,
( spl11_193
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_193])]) ).
fof(f974,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl11_107
| ~ spl11_116 ),
inference(superposition,[],[f853,f938]) ).
fof(f1631,plain,
( spl11_192
| ~ spl11_91
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f973,f937,f767,f1629]) ).
fof(f1629,plain,
( spl11_192
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_192])]) ).
fof(f973,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl11_91
| ~ spl11_116 ),
inference(superposition,[],[f768,f938]) ).
fof(f1627,plain,
( spl11_191
| ~ spl11_106
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f966,f933,f848,f1625]) ).
fof(f1625,plain,
( spl11_191
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_191])]) ).
fof(f966,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl11_106
| ~ spl11_115 ),
inference(superposition,[],[f849,f934]) ).
fof(f1623,plain,
( spl11_190
| ~ spl11_89
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f965,f933,f759,f1621]) ).
fof(f1621,plain,
( spl11_190
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_190])]) ).
fof(f965,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl11_89
| ~ spl11_115 ),
inference(superposition,[],[f760,f934]) ).
fof(f1619,plain,
( spl11_189
| ~ spl11_92
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f916,f895,f771,f1617]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl11_92
| ~ spl11_113 ),
inference(resolution,[],[f896,f772]) ).
fof(f1615,plain,
( spl11_188
| ~ spl11_52
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f910,f891,f591,f1613]) ).
fof(f1613,plain,
( spl11_188
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_188])]) ).
fof(f910,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl11_52
| ~ spl11_112 ),
inference(resolution,[],[f892,f592]) ).
fof(f1597,plain,
( spl11_187
| ~ spl11_76
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f914,f895,f696,f1595]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl11_76
| ~ spl11_113 ),
inference(resolution,[],[f896,f697]) ).
fof(f1559,plain,
( spl11_186
| ~ spl11_75
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1018,f996,f692,f1557]) ).
fof(f692,plain,
( spl11_75
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_75])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl11_75
| ~ spl11_124 ),
inference(superposition,[],[f693,f997]) ).
fof(f693,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f1555,plain,
( spl11_185
| ~ spl11_78
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f972,f937,f704,f1553]) ).
fof(f1553,plain,
( spl11_185
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_185])]) ).
fof(f972,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl11_78
| ~ spl11_116 ),
inference(superposition,[],[f705,f938]) ).
fof(f1551,plain,
( spl11_184
| ~ spl11_77
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f964,f933,f700,f1549]) ).
fof(f1549,plain,
( spl11_184
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_184])]) ).
fof(f964,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_77
| ~ spl11_115 ),
inference(superposition,[],[f701,f934]) ).
fof(f1547,plain,
( spl11_183
| ~ spl11_52
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f919,f895,f591,f1545]) ).
fof(f919,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl11_52
| ~ spl11_113 ),
inference(resolution,[],[f896,f592]) ).
fof(f1542,plain,
( spl11_71
| ~ spl11_43
| ~ spl11_69 ),
inference(avatar_split_clause,[],[f1501,f659,f548,f672]) ).
fof(f1538,plain,
( ~ spl11_181
| spl11_182
| ~ spl11_45
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f909,f891,f560,f1535,f1531]) ).
fof(f1535,plain,
( spl11_182
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl11_182])]) ).
fof(f909,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl11_45
| ~ spl11_112 ),
inference(resolution,[],[f892,f562]) ).
fof(f1529,plain,
( spl11_180
| ~ spl11_47
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f908,f891,f569,f1527]) ).
fof(f908,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl11_47
| ~ spl11_112 ),
inference(resolution,[],[f892,f570]) ).
fof(f1525,plain,
( spl11_179
| ~ spl11_76
| ~ spl11_101 ),
inference(avatar_split_clause,[],[f873,f827,f696,f1523]) ).
fof(f827,plain,
( spl11_101
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_101])]) ).
fof(f873,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl11_76
| ~ spl11_101 ),
inference(resolution,[],[f828,f697]) ).
fof(f828,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl11_101 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1506,plain,
( ~ spl11_44
| spl11_178
| ~ spl11_156
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1496,f1116,f1042,f394,f378,f1290,f1504,f552]) ).
fof(f1290,plain,
( spl11_156
<=> leq(nbr_proc,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_156])]) ).
fof(f1042,plain,
( spl11_127
<=> ! [X8,X7] :
( host(X7) != index(pendack,host(X8))
| ~ setIn(X8,alive)
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| elec_2 != index(status,host(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_127])]) ).
fof(f1496,plain,
( ! [X0] :
( ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X0),queue(host(sK4))) )
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(trivial_inequality_removal,[],[f1495]) ).
fof(f1495,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X0),queue(host(sK4))) )
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1494,f380]) ).
fof(f1494,plain,
( ! [X0] :
( ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1493,f1118]) ).
fof(f1493,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ leq(nbr_proc,host(sK6))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1312,f1118]) ).
fof(f1312,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X0),queue(host(sK4)))
| ~ leq(nbr_proc,host(sK6))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_14
| ~ spl11_127 ),
inference(superposition,[],[f1043,f396]) ).
fof(f1043,plain,
( ! [X8,X7] :
( host(X7) != index(pendack,host(X8))
| ~ setIn(X8,alive)
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| elec_2 != index(status,host(X8)) )
| ~ spl11_127 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1490,plain,
( spl11_177
| ~ spl11_76
| spl11_166 ),
inference(avatar_split_clause,[],[f1433,f1392,f696,f1487]) ).
fof(f1454,plain,
( spl11_176
| ~ spl11_68
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1016,f996,f655,f1452]) ).
fof(f655,plain,
( spl11_68
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_68])]) ).
fof(f1016,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl11_68
| ~ spl11_124 ),
inference(superposition,[],[f656,f997]) ).
fof(f656,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl11_68 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1450,plain,
( spl11_175
| ~ spl11_68
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f971,f937,f655,f1448]) ).
fof(f971,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl11_68
| ~ spl11_116 ),
inference(superposition,[],[f656,f938]) ).
fof(f1446,plain,
( spl11_174
| ~ spl11_67
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f963,f933,f651,f1444]) ).
fof(f1444,plain,
( spl11_174
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_174])]) ).
fof(f963,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl11_67
| ~ spl11_115 ),
inference(superposition,[],[f652,f934]) ).
fof(f1442,plain,
( spl11_173
| ~ spl11_45
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f918,f895,f560,f1440]) ).
fof(f918,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl11_45
| ~ spl11_113 ),
inference(resolution,[],[f896,f562]) ).
fof(f1438,plain,
( spl11_172
| ~ spl11_47
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f917,f895,f569,f1436]) ).
fof(f917,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl11_47
| ~ spl11_113 ),
inference(resolution,[],[f896,f570]) ).
fof(f1432,plain,
( spl11_171
| ~ spl11_91
| ~ spl11_105 ),
inference(avatar_split_clause,[],[f877,f844,f767,f1430]) ).
fof(f1430,plain,
( spl11_171
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_171])]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl11_91
| ~ spl11_105 ),
inference(resolution,[],[f845,f768]) ).
fof(f1428,plain,
( spl11_170
| ~ spl11_92
| ~ spl11_101 ),
inference(avatar_split_clause,[],[f871,f827,f771,f1426]) ).
fof(f871,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl11_92
| ~ spl11_101 ),
inference(resolution,[],[f828,f772]) ).
fof(f1412,plain,
( spl11_169
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f931,f923,f389,f373,f336,f1410]) ).
fof(f336,plain,
( spl11_3
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f373,plain,
( spl11_10
<=> norm = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f389,plain,
( spl11_13
<=> host(sK5) = index(ldr,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_10
| ~ spl11_13
| ~ spl11_114 ),
inference(trivial_inequality_removal,[],[f930]) ).
fof(f930,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_10
| ~ spl11_13
| ~ spl11_114 ),
inference(forward_demodulation,[],[f928,f375]) ).
fof(f375,plain,
( norm = index(status,host(sK5))
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f928,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_13
| ~ spl11_114 ),
inference(trivial_inequality_removal,[],[f927]) ).
fof(f927,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_13
| ~ spl11_114 ),
inference(superposition,[],[f924,f391]) ).
fof(f391,plain,
( host(sK5) = index(ldr,host(sK5))
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1405,plain,
( ~ spl11_2
| spl11_168
| ~ spl11_6
| ~ spl11_85 ),
inference(avatar_split_clause,[],[f744,f740,f351,f1403,f331]) ).
fof(f744,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(host(X1),index(down,host(sK4)))
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK7,alive) )
| ~ spl11_6
| ~ spl11_85 ),
inference(superposition,[],[f741,f353]) ).
fof(f1401,plain,
( spl11_167
| ~ spl11_6
| ~ spl11_85 ),
inference(avatar_split_clause,[],[f743,f740,f351,f1399]) ).
fof(f1399,plain,
( spl11_167
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(host(X1),index(down,host(X0)))
| ~ elem(m_Ack(X1,sK7),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_167])]) ).
fof(f743,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(host(X1),index(down,host(X0)))
| ~ elem(m_Ack(X1,sK7),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) )
| ~ spl11_6
| ~ spl11_85 ),
inference(superposition,[],[f741,f353]) ).
fof(f1395,plain,
( ~ spl11_166
| spl11_44
| ~ spl11_145 ),
inference(avatar_split_clause,[],[f1203,f1199,f552,f1392]) ).
fof(f1199,plain,
( spl11_145
<=> ! [X0] :
( host(X0) != host(sK4)
| setIn(X0,alive)
| ~ leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_145])]) ).
fof(f1203,plain,
( setIn(sK4,alive)
| ~ leq(sK7,sK4)
| ~ spl11_145 ),
inference(equality_resolution,[],[f1200]) ).
fof(f1200,plain,
( ! [X0] :
( host(X0) != host(sK4)
| setIn(X0,alive)
| ~ leq(sK7,X0) )
| ~ spl11_145 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1388,plain,
( spl11_165
| ~ spl11_87
| ~ spl11_91 ),
inference(avatar_split_clause,[],[f783,f767,f751,f1386]) ).
fof(f1386,plain,
( spl11_165
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_165])]) ).
fof(f783,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl11_87
| ~ spl11_91 ),
inference(resolution,[],[f768,f752]) ).
fof(f1384,plain,
( spl11_164
| ~ spl11_74
| ~ spl11_86 ),
inference(avatar_split_clause,[],[f776,f747,f688,f1382]) ).
fof(f1382,plain,
( spl11_164
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_164])]) ).
fof(f776,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl11_74
| ~ spl11_86 ),
inference(superposition,[],[f689,f748]) ).
fof(f1380,plain,
( spl11_163
| ~ spl11_75
| ~ spl11_86 ),
inference(avatar_split_clause,[],[f775,f747,f692,f1378]) ).
fof(f1378,plain,
( spl11_163
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_163])]) ).
fof(f775,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl11_75
| ~ spl11_86 ),
inference(superposition,[],[f693,f748]) ).
fof(f1371,plain,
( spl11_162
| ~ spl11_139
| ~ spl11_161 ),
inference(avatar_split_clause,[],[f1367,f1364,f1116,f1369]) ).
fof(f1369,plain,
( spl11_162
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),nbr_proc)
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_162])]) ).
fof(f1364,plain,
( spl11_161
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_161])]) ).
fof(f1367,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),nbr_proc)
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl11_139
| ~ spl11_161 ),
inference(forward_demodulation,[],[f1365,f1118]) ).
fof(f1365,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl11_161 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1366,plain,
( ~ spl11_2
| spl11_161
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_94 ),
inference(avatar_split_clause,[],[f801,f792,f394,f378,f351,f1364,f331]) ).
fof(f792,plain,
( spl11_94
<=> ! [X13,X12] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_94])]) ).
fof(f801,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_94 ),
inference(forward_demodulation,[],[f800,f396]) ).
fof(f800,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_94 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_94 ),
inference(forward_demodulation,[],[f795,f380]) ).
fof(f795,plain,
( ! [X0] :
( elec_2 != index(status,host(sK4))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl11_6
| ~ spl11_94 ),
inference(superposition,[],[f793,f353]) ).
fof(f793,plain,
( ! [X12,X13] :
( elec_2 != index(status,host(X13))
| ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
| ~ spl11_94 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1356,plain,
( ~ spl11_2
| spl11_160
| ~ spl11_6
| ~ spl11_70 ),
inference(avatar_split_clause,[],[f677,f668,f351,f1354,f331]) ).
fof(f677,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X1),queue(host(sK4)))
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl11_6
| ~ spl11_70 ),
inference(superposition,[],[f669,f353]) ).
fof(f1352,plain,
( spl11_159
| ~ spl11_6
| ~ spl11_70 ),
inference(avatar_split_clause,[],[f676,f668,f351,f1350]) ).
fof(f1350,plain,
( spl11_159
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_159])]) ).
fof(f676,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1))) )
| ~ spl11_6
| ~ spl11_70 ),
inference(superposition,[],[f669,f353]) ).
fof(f1342,plain,
( spl11_158
| ~ spl11_46
| ~ spl11_92 ),
inference(avatar_split_clause,[],[f790,f771,f565,f1340]) ).
fof(f565,plain,
( spl11_46
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
fof(f790,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl11_46
| ~ spl11_92 ),
inference(resolution,[],[f772,f566]) ).
fof(f566,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl11_46 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f1334,plain,
( spl11_157
| ~ spl11_85 ),
inference(avatar_split_clause,[],[f745,f740,f1332]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ setIn(host(X0),index(down,host(X1)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) )
| ~ spl11_85 ),
inference(equality_resolution,[],[f741]) ).
fof(f1305,plain,
( ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f1304,f1045,f389,f373,f336]) ).
fof(f1045,plain,
( spl11_128
<=> ! [X6] :
( norm != index(status,host(X6))
| ~ setIn(X6,alive)
| host(X6) != index(ldr,host(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_128])]) ).
fof(f1304,plain,
( ~ setIn(sK5,alive)
| ~ spl11_10
| ~ spl11_13
| ~ spl11_128 ),
inference(trivial_inequality_removal,[],[f1303]) ).
fof(f1303,plain,
( norm != norm
| ~ setIn(sK5,alive)
| ~ spl11_10
| ~ spl11_13
| ~ spl11_128 ),
inference(forward_demodulation,[],[f1301,f375]) ).
fof(f1301,plain,
( ~ setIn(sK5,alive)
| norm != index(status,host(sK5))
| ~ spl11_13
| ~ spl11_128 ),
inference(trivial_inequality_removal,[],[f1300]) ).
fof(f1300,plain,
( host(sK5) != host(sK5)
| ~ setIn(sK5,alive)
| norm != index(status,host(sK5))
| ~ spl11_13
| ~ spl11_128 ),
inference(superposition,[],[f1046,f391]) ).
fof(f1046,plain,
( ! [X6] :
( host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| norm != index(status,host(X6)) )
| ~ spl11_128 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1297,plain,
( ~ spl11_34
| spl11_156 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl11_34
| spl11_156 ),
inference(resolution,[],[f1292,f492]) ).
fof(f1292,plain,
( ~ leq(nbr_proc,nbr_proc)
| spl11_156 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1293,plain,
( ~ spl11_2
| spl11_155
| ~ spl11_156
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(avatar_split_clause,[],[f1230,f1116,f1042,f394,f378,f351,f1290,f1287,f331]) ).
fof(f1230,plain,
( ! [X0] :
( ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(trivial_inequality_removal,[],[f1229]) ).
fof(f1229,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4))) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1228,f380]) ).
fof(f1228,plain,
( ! [X0] :
( ~ leq(nbr_proc,nbr_proc)
| host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_6
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1227,f1118]) ).
fof(f1227,plain,
( ! [X0] :
( ~ leq(nbr_proc,host(sK6))
| host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_6
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1226,f396]) ).
fof(f1226,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| ~ leq(nbr_proc,index(pendack,host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_6
| ~ spl11_14
| ~ spl11_127
| ~ spl11_139 ),
inference(forward_demodulation,[],[f1225,f1118]) ).
fof(f1225,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| ~ leq(nbr_proc,index(pendack,host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_6
| ~ spl11_14
| ~ spl11_127 ),
inference(forward_demodulation,[],[f1048,f396]) ).
fof(f1048,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK4))
| ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| ~ leq(nbr_proc,index(pendack,host(sK4)))
| elec_2 != index(status,host(sK4)) )
| ~ spl11_6
| ~ spl11_127 ),
inference(superposition,[],[f1043,f353]) ).
fof(f1285,plain,
( spl11_154
| ~ spl11_6
| ~ spl11_132 ),
inference(avatar_split_clause,[],[f1076,f1067,f351,f1283]) ).
fof(f1076,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl11_6
| ~ spl11_132 ),
inference(superposition,[],[f1068,f353]) ).
fof(f1281,plain,
( spl11_153
| ~ spl11_6
| ~ spl11_132 ),
inference(avatar_split_clause,[],[f1075,f1067,f351,f1279]) ).
fof(f1279,plain,
( spl11_153
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_153])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl11_6
| ~ spl11_132 ),
inference(superposition,[],[f1068,f353]) ).
fof(f1273,plain,
( spl11_152
| ~ spl11_46
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f729,f696,f565,f1271]) ).
fof(f729,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl11_46
| ~ spl11_76 ),
inference(resolution,[],[f697,f566]) ).
fof(f1269,plain,
( ~ spl11_151
| spl11_147
| ~ spl11_148 ),
inference(avatar_split_clause,[],[f1244,f1216,f1212,f1266]) ).
fof(f1266,plain,
( spl11_151
<=> elem(m_Ack(sK4,sK3),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_151])]) ).
fof(f1244,plain,
( ~ elem(m_Ack(sK4,sK3),queue(host(sK4)))
| spl11_147
| ~ spl11_148 ),
inference(forward_demodulation,[],[f1213,f1218]) ).
fof(f1213,plain,
( ~ elem(m_Ack(sK7,sK6),queue(host(sK4)))
| spl11_147 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1243,plain,
( spl11_150
| ~ spl11_147
| ~ spl11_149 ),
inference(avatar_split_clause,[],[f1238,f1235,f1212,f1240]) ).
fof(f1235,plain,
( spl11_149
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_149])]) ).
fof(f1238,plain,
( setIn(sK6,pids)
| ~ spl11_147
| ~ spl11_149 ),
inference(resolution,[],[f1236,f1214]) ).
fof(f1236,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| setIn(X0,pids) )
| ~ spl11_149 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1237,plain,
( spl11_149
| ~ spl11_6
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f976,f941,f351,f1235]) ).
fof(f976,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| setIn(X0,pids) )
| ~ spl11_6
| ~ spl11_117 ),
inference(superposition,[],[f942,f353]) ).
fof(f1222,plain,
( ~ spl11_21
| ~ spl11_147 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| ~ spl11_21
| ~ spl11_147 ),
inference(resolution,[],[f1214,f428]) ).
fof(f428,plain,
( ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl11_21
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f1219,plain,
( spl11_147
| spl11_148
| ~ spl11_23
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f1035,f1004,f438,f1216,f1212]) ).
fof(f438,plain,
( spl11_23
<=> elem(m_Ack(sK7,sK6),snoc(queue(host(sK4)),m_Ack(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f1035,plain,
( m_Ack(sK4,sK3) = m_Ack(sK7,sK6)
| elem(m_Ack(sK7,sK6),queue(host(sK4)))
| ~ spl11_23
| ~ spl11_126 ),
inference(resolution,[],[f1005,f440]) ).
fof(f440,plain,
( elem(m_Ack(sK7,sK6),snoc(queue(host(sK4)),m_Ack(sK4,sK3)))
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f1208,plain,
( ~ spl11_2
| spl11_146
| ~ spl11_6
| ~ spl11_38 ),
inference(avatar_split_clause,[],[f513,f507,f351,f1206,f331]) ).
fof(f1206,plain,
( spl11_146
<=> ! [X0] :
( host(X0) != host(sK4)
| sK7 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_146])]) ).
fof(f513,plain,
( ! [X0] :
( host(X0) != host(sK4)
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| sK7 = X0 )
| ~ spl11_6
| ~ spl11_38 ),
inference(superposition,[],[f508,f353]) ).
fof(f1201,plain,
( ~ spl11_2
| spl11_145
| ~ spl11_6
| ~ spl11_37 ),
inference(avatar_split_clause,[],[f511,f503,f351,f1199,f331]) ).
fof(f511,plain,
( ! [X0] :
( host(X0) != host(sK4)
| ~ setIn(sK7,alive)
| ~ leq(sK7,X0)
| setIn(X0,alive) )
| ~ spl11_6
| ~ spl11_37 ),
inference(superposition,[],[f504,f353]) ).
fof(f1196,plain,
( ~ spl11_144
| ~ spl11_46
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1104,f1099,f565,f1193]) ).
fof(f1193,plain,
( spl11_144
<=> leq(s(host(sK6)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_144])]) ).
fof(f1104,plain,
( ~ leq(s(host(sK6)),nbr_proc)
| ~ spl11_46
| ~ spl11_136 ),
inference(resolution,[],[f1100,f566]) ).
fof(f1191,plain,
( spl11_143
| ~ spl11_32
| ~ spl11_104 ),
inference(avatar_split_clause,[],[f876,f840,f483,f1189]) ).
fof(f1189,plain,
( spl11_143
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_143])]) ).
fof(f483,plain,
( spl11_32
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
fof(f876,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl11_32
| ~ spl11_104 ),
inference(resolution,[],[f841,f484]) ).
fof(f484,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1187,plain,
( spl11_142
| ~ spl11_48
| ~ spl11_89 ),
inference(avatar_split_clause,[],[f781,f759,f573,f1185]) ).
fof(f1185,plain,
( spl11_142
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_142])]) ).
fof(f573,plain,
( spl11_48
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
fof(f781,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl11_48
| ~ spl11_89 ),
inference(resolution,[],[f760,f574]) ).
fof(f574,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl11_48 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1169,plain,
( spl11_141
| ~ spl11_15
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1029,f1000,f399,f1167]) ).
fof(f399,plain,
( spl11_15
<=> queue(host(sK3)) = cons(m_Halt(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1029,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Halt(sK4) = X0
| elem(X0,sK2) )
| ~ spl11_15
| ~ spl11_125 ),
inference(superposition,[],[f1001,f401]) ).
fof(f401,plain,
( queue(host(sK3)) = cons(m_Halt(sK4),sK2)
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1165,plain,
( spl11_140
| ~ spl11_15
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1013,f996,f399,f1163]) ).
fof(f1013,plain,
( ! [X0] : cons(m_Halt(sK4),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl11_15
| ~ spl11_124 ),
inference(superposition,[],[f997,f401]) ).
fof(f1123,plain,
( ~ spl11_47
| spl11_138 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1120,plain,
( $false
| ~ spl11_47
| spl11_138 ),
inference(resolution,[],[f1114,f570]) ).
fof(f1114,plain,
( ~ leq(host(sK6),nbr_proc)
| spl11_138 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1112,plain,
( spl11_138
<=> leq(host(sK6),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_138])]) ).
fof(f1119,plain,
( ~ spl11_138
| spl11_139
| ~ spl11_4
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f912,f891,f341,f1116,f1112]) ).
fof(f341,plain,
( spl11_4
<=> leq(nbr_proc,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f912,plain,
( nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc)
| ~ spl11_4
| ~ spl11_112 ),
inference(resolution,[],[f892,f343]) ).
fof(f343,plain,
( leq(nbr_proc,host(sK6))
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f1110,plain,
( spl11_137
| ~ spl11_15
| ~ spl11_106 ),
inference(avatar_split_clause,[],[f880,f848,f399,f1108]) ).
fof(f880,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl11_15
| ~ spl11_106 ),
inference(superposition,[],[f849,f401]) ).
fof(f1101,plain,
( spl11_136
| ~ spl11_4
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f921,f895,f341,f1099]) ).
fof(f921,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) )
| ~ spl11_4
| ~ spl11_113 ),
inference(resolution,[],[f896,f343]) ).
fof(f1085,plain,
spl11_135,
inference(avatar_split_clause,[],[f278,f1083]) ).
fof(f278,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,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(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,[sK10])],[f168,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f167]) ).
fof(f167,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(f1081,plain,
spl11_134,
inference(avatar_split_clause,[],[f269,f1079]) ).
fof(f269,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,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(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,[sK9])],[f162,f163]) ).
fof(f163,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(sK9(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f161]) ).
fof(f161,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(f1074,plain,
( spl11_133
| ~ spl11_15
| ~ spl11_72 ),
inference(avatar_split_clause,[],[f727,f680,f399,f1071]) ).
fof(f1071,plain,
( spl11_133
<=> m_Halt(sK4) = head(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_133])]) ).
fof(f727,plain,
( m_Halt(sK4) = head(queue(host(sK3)))
| ~ spl11_15
| ~ spl11_72 ),
inference(superposition,[],[f681,f401]) ).
fof(f1069,plain,
spl11_132,
inference(avatar_split_clause,[],[f301,f1067]) ).
fof(f301,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1061,plain,
spl11_131,
inference(avatar_split_clause,[],[f282,f1059]) ).
fof(f1059,plain,
( spl11_131
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_131])]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1057,plain,
spl11_130,
inference(avatar_split_clause,[],[f273,f1055]) ).
fof(f1055,plain,
( spl11_130
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_130])]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1053,plain,
spl11_129,
inference(avatar_split_clause,[],[f232,f1051]) ).
fof(f232,plain,
! [X0] :
( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f152,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,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1047,plain,
( spl11_127
| spl11_128 ),
inference(avatar_split_clause,[],[f196,f1045,f1042]) ).
fof(f196,plain,
! [X8,X6,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| host(X7) != index(pendack,host(X8))
| elec_2 != index(status,host(X8))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ setIn(X8,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(sK6) = index(pendack,host(sK7))
& elec_2 = index(status,host(sK7))
& elem(m_Ack(sK7,sK6),snoc(queue(host(sK7)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(sK7)))
& setIn(sK7,alive)
& host(sK3) != host(sK7)
& host(sK4) = host(sK7)
& host(sK3) != host(sK5)
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Halt(sK4),sK2)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| host(X7) != index(pendack,host(X8))
| elec_2 != index(status,host(X8))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ setIn(X8,alive) )
& ! [X9,X10,X11] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) )
& ! [X12,X13] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| ( elec_2 != index(status,host(X20))
& elec_1 != index(status,host(X20)) ) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) )
& ! [X25,X26] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f146,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X1) != host(X5)
& host(X2) = host(X5) )
& host(X3) != host(X1) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| host(X7) != index(pendack,host(X8))
| elec_2 != index(status,host(X8))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ setIn(X8,alive) )
& ! [X9,X10,X11] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) )
& ! [X12,X13] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| ( elec_2 != index(status,host(X20))
& elec_1 != index(status,host(X20)) ) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) )
& ! [X25,X26] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) )
=> ( ? [X3] :
( ? [X5,X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X5) != host(sK3)
& host(X5) = host(sK4) )
& host(X3) != host(sK3) )
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Halt(sK4),sK2)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| host(X7) != index(pendack,host(X8))
| elec_2 != index(status,host(X8))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ setIn(X8,alive) )
& ! [X9,X10,X11] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) )
& ! [X12,X13] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| ( elec_2 != index(status,host(X20))
& elec_1 != index(status,host(X20)) ) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) )
& ! [X25,X26] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X5,X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X5) != host(sK3)
& host(X5) = host(sK4) )
& host(X3) != host(sK3) )
=> ( ? [X5,X4] :
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X5) != host(sK3)
& host(X5) = host(sK4) )
& host(sK3) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5,X4] :
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X5) != host(sK3)
& host(X5) = host(sK4) )
=> ( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(sK6) = index(pendack,host(sK7))
& elec_2 = index(status,host(sK7))
& elem(m_Ack(sK7,sK6),snoc(queue(host(sK7)),m_Ack(sK4,sK3)))
& leq(nbr_proc,index(pendack,host(sK7)))
& setIn(sK7,alive)
& host(sK3) != host(sK7)
& host(sK4) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& host(X1) != host(X5)
& host(X2) = host(X5) )
& host(X3) != host(X1) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| host(X7) != index(pendack,host(X8))
| elec_2 != index(status,host(X8))
| ~ leq(nbr_proc,index(pendack,host(X8)))
| ~ elem(m_Ack(X8,X7),queue(host(X8)))
| ~ setIn(X8,alive) )
& ! [X9,X10,X11] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) )
& ! [X12,X13] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| ( elec_2 != index(status,host(X20))
& elec_1 != index(status,host(X20)) ) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) )
& ! [X25,X26] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive)
& host(X38) = index(pendack,host(X39))
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X4) != index(pendack,host(X5))
| elec_2 != index(status,host(X5))
| ~ leq(nbr_proc,index(pendack,host(X5)))
| ~ elem(m_Ack(X5,X4),queue(host(X5)))
| ~ setIn(X5,alive) )
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_2 != index(status,host(X8))
| ~ elem(m_Halt(X8),queue(host(X7)))
| ~ setIn(X8,alive)
| leq(index(pendack,host(X8)),host(X6)) )
& ! [X9,X10] :
( ~ leq(index(pendack,host(X9)),index(pendack,host(X10)))
| elec_2 != index(status,host(X10))
| elec_2 != index(status,host(X9))
| ~ setIn(X10,alive)
| ~ setIn(X9,alive)
| leq(host(X9),host(X10)) )
& ! [X11,X12,X13] :
( ~ setIn(host(X13),index(down,host(X12)))
| host(X12) != host(X11)
| ~ elem(m_Ack(X13,X11),queue(host(X13)))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive) )
& ! [X14,X15,X16] :
( ~ setIn(X16,alive)
| host(X14) != host(X16)
| ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ elem(m_Down(X14),queue(host(X15))) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ elem(m_Ack(X19,X18),queue(host(X19)))
| elec_1 != index(status,host(X19))
| ~ setIn(X19,alive) )
& ! [X20,X21] :
( ~ elem(m_Ack(X20,X21),queue(host(X20)))
| elec_1 != index(status,host(X21))
| ~ setIn(X21,alive) )
& ! [X22,X23] :
( leq(host(X22),index(pendack,host(X23)))
| ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ setIn(X27,alive)
| host(X26) != host(X27)
| ~ leq(X27,X26)
| setIn(X26,alive) )
& ! [X28,X29,X30] :
( ~ leq(host(X28),host(X30))
| ~ elem(m_Ack(X30,X28),queue(host(X29))) )
& ! [X31,X32] :
( ~ leq(host(X31),host(X32))
| ~ elem(m_Ldr(X32),queue(host(X31))) )
& ! [X33,X34] :
( ~ setIn(X34,alive)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( setIn(X36,pids)
| ~ elem(m_Ack(X36,X35),queue(host(X36))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive)
& host(X38) = index(pendack,host(X39))
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X4) != index(pendack,host(X5))
| elec_2 != index(status,host(X5))
| ~ leq(nbr_proc,index(pendack,host(X5)))
| ~ elem(m_Ack(X5,X4),queue(host(X5)))
| ~ setIn(X5,alive) )
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_2 != index(status,host(X8))
| ~ elem(m_Halt(X8),queue(host(X7)))
| ~ setIn(X8,alive)
| leq(index(pendack,host(X8)),host(X6)) )
& ! [X9,X10] :
( ~ leq(index(pendack,host(X9)),index(pendack,host(X10)))
| elec_2 != index(status,host(X10))
| elec_2 != index(status,host(X9))
| ~ setIn(X10,alive)
| ~ setIn(X9,alive)
| leq(host(X9),host(X10)) )
& ! [X11,X12,X13] :
( ~ setIn(host(X13),index(down,host(X12)))
| host(X12) != host(X11)
| ~ elem(m_Ack(X13,X11),queue(host(X13)))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive) )
& ! [X14,X15,X16] :
( ~ setIn(X16,alive)
| host(X14) != host(X16)
| ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ elem(m_Down(X14),queue(host(X15))) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ elem(m_Ack(X19,X18),queue(host(X19)))
| elec_1 != index(status,host(X19))
| ~ setIn(X19,alive) )
& ! [X20,X21] :
( ~ elem(m_Ack(X20,X21),queue(host(X20)))
| elec_1 != index(status,host(X21))
| ~ setIn(X21,alive) )
& ! [X22,X23] :
( leq(host(X22),index(pendack,host(X23)))
| ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ setIn(X27,alive)
| host(X26) != host(X27)
| ~ leq(X27,X26)
| setIn(X26,alive) )
& ! [X28,X29,X30] :
( ~ leq(host(X28),host(X30))
| ~ elem(m_Ack(X30,X28),queue(host(X29))) )
& ! [X31,X32] :
( ~ leq(host(X31),host(X32))
| ~ elem(m_Ldr(X32),queue(host(X31))) )
& ! [X33,X34] :
( ~ setIn(X34,alive)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( setIn(X36,pids)
| ~ elem(m_Ack(X36,X35),queue(host(X36))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5] :
( ( host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& leq(nbr_proc,index(pendack,host(X5)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive) ) )
& ! [X6,X7,X8] :
( ( elec_2 = index(status,host(X8))
& elem(m_Halt(X8),queue(host(X7)))
& setIn(X8,alive)
& ~ leq(index(pendack,host(X8)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X9,X10] :
( ( elec_2 = index(status,host(X10))
& elec_2 = index(status,host(X9))
& setIn(X10,alive)
& setIn(X9,alive)
& ~ leq(host(X9),host(X10)) )
=> ~ leq(index(pendack,host(X9)),index(pendack,host(X10))) )
& ! [X11,X12,X13] :
( ( host(X12) = host(X11)
& elem(m_Ack(X13,X11),queue(host(X13)))
& setIn(X13,alive)
& setIn(X12,alive) )
=> ~ setIn(host(X13),index(down,host(X12))) )
& ! [X14,X15,X16] :
( ( host(X14) = host(X16)
& elem(m_Ack(X16,X15),queue(host(X16)))
& elem(m_Down(X14),queue(host(X15))) )
=> ~ setIn(X16,alive) )
& ! [X17] :
( ( setIn(X17,alive)
& ( elec_2 = index(status,host(X17))
| elec_1 = index(status,host(X17)) ) )
=> index(elid,host(X17)) = X17 )
& ! [X18,X19] :
( ( elec_1 = index(status,host(X19))
& setIn(X19,alive) )
=> ~ elem(m_Ack(X19,X18),queue(host(X19))) )
& ! [X20,X21] :
( ( elec_1 = index(status,host(X21))
& setIn(X21,alive) )
=> ~ elem(m_Ack(X20,X21),queue(host(X20))) )
& ! [X22,X23] :
( ( elem(m_Ack(X23,X22),queue(host(X23)))
& setIn(X23,alive) )
=> leq(host(X22),index(pendack,host(X23))) )
& ! [X24,X25] :
( ( host(X24) = host(X25)
& X24 != X25 )
=> ( ~ setIn(X25,alive)
| ~ setIn(X24,alive) ) )
& ! [X26,X27] :
( ( host(X26) = host(X27)
& leq(X27,X26)
& ~ setIn(X26,alive) )
=> ~ setIn(X27,alive) )
& ! [X28,X29,X30] :
( elem(m_Ack(X30,X28),queue(host(X29)))
=> ~ leq(host(X28),host(X30)) )
& ! [X31,X32] :
( elem(m_Ldr(X32),queue(host(X31)))
=> ~ leq(host(X31),host(X32)) )
& ! [X33,X34] :
( elem(m_Down(X34),queue(host(X33)))
=> ~ setIn(X34,alive) )
& ! [X35,X36] :
( elem(m_Ack(X36,X35),queue(host(X36)))
=> setIn(X36,pids) ) )
=> ( setIn(X1,alive)
=> ! [X37] :
( host(X1) != host(X37)
=> ! [X38,X39] :
( host(X2) = host(X39)
=> ( host(X1) != host(X39)
=> ( ( host(X38) = index(pendack,host(X39))
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive) )
=> ~ ( norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X13] :
( ( host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,index(pendack,host(X13)))
& elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X6)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X5)) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Ack(X13,X5),queue(host(X13)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ setIn(host(X13),index(down,host(X6))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X13)
& elem(m_Ack(X13,X6),queue(host(X13)))
& elem(m_Down(X5),queue(host(X6))) )
=> ~ setIn(X13,alive) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6] :
( ( elem(m_Ack(X6,X5),queue(host(X6)))
& setIn(X6,alive) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& leq(X6,X5)
& ~ setIn(X5,alive) )
=> ~ setIn(X6,alive) )
& ! [X5,X6,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X5,X6] :
( elem(m_Ack(X6,X5),queue(host(X6)))
=> setIn(X6,pids) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X5) != host(X12)
=> ! [X6,X14] :
( host(X4) = host(X14)
=> ( host(X12) != host(X14)
=> ( ( host(X6) = index(pendack,host(X14))
& elec_2 = index(status,host(X14))
& elem(m_Ack(X14,X6),snoc(queue(host(X14)),m_Ack(X4,X12)))
& leq(nbr_proc,index(pendack,host(X14)))
& setIn(X14,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X13] :
( ( host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,index(pendack,host(X13)))
& elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X6)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X5)) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Ack(X13,X5),queue(host(X13)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ setIn(host(X13),index(down,host(X6))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X13)
& elem(m_Ack(X13,X6),queue(host(X13)))
& elem(m_Down(X5),queue(host(X6))) )
=> ~ setIn(X13,alive) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6] :
( ( elem(m_Ack(X6,X5),queue(host(X6)))
& setIn(X6,alive) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& leq(X6,X5)
& ~ setIn(X5,alive) )
=> ~ setIn(X6,alive) )
& ! [X5,X6,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X5,X6] :
( elem(m_Ack(X6,X5),queue(host(X6)))
=> setIn(X6,pids) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X5) != host(X12)
=> ! [X6,X14] :
( host(X4) = host(X14)
=> ( host(X12) != host(X14)
=> ( ( host(X6) = index(pendack,host(X14))
& elec_2 = index(status,host(X14))
& elem(m_Ack(X14,X6),snoc(queue(host(X14)),m_Ack(X4,X12)))
& leq(nbr_proc,index(pendack,host(X14)))
& setIn(X14,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f1006,plain,
spl11_126,
inference(avatar_split_clause,[],[f305,f1004]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(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/benchmark/theBenchmark.p',axiom_47) ).
fof(f1002,plain,
spl11_125,
inference(avatar_split_clause,[],[f302,f1000]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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,[],[f177]) ).
fof(f177,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/benchmark/theBenchmark.p',axiom_46) ).
fof(f998,plain,
spl11_124,
inference(avatar_split_clause,[],[f298,f996]) ).
fof(f298,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f994,plain,
spl11_123,
inference(avatar_split_clause,[],[f287,f992]) ).
fof(f287,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f990,plain,
spl11_122,
inference(avatar_split_clause,[],[f254,f988]) ).
fof(f254,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f959,plain,
spl11_121,
inference(avatar_split_clause,[],[f309,f957]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f955,plain,
spl11_120,
inference(avatar_split_clause,[],[f308,f953]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f951,plain,
spl11_119,
inference(avatar_split_clause,[],[f283,f949]) ).
fof(f283,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f947,plain,
spl11_118,
inference(avatar_split_clause,[],[f274,f945]) ).
fof(f274,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f943,plain,
spl11_117,
inference(avatar_split_clause,[],[f256,f941]) ).
fof(f256,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f939,plain,
spl11_116,
inference(avatar_split_clause,[],[f231,f937]) ).
fof(f231,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/benchmark/theBenchmark.p',axiom_40) ).
fof(f935,plain,
spl11_115,
inference(avatar_split_clause,[],[f230,f933]) ).
fof(f230,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/benchmark/theBenchmark.p',axiom_39) ).
fof(f925,plain,
spl11_114,
inference(avatar_split_clause,[],[f195,f923]) ).
fof(f195,plain,
! [X10,X11,X9] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| ~ elem(m_Halt(X11),queue(host(X10)))
| ~ setIn(X11,alive)
| leq(index(pendack,host(X11)),host(X9)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f897,plain,
spl11_113,
inference(avatar_split_clause,[],[f300,f895]) ).
fof(f300,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f893,plain,
spl11_112,
inference(avatar_split_clause,[],[f290,f891]) ).
fof(f290,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f889,plain,
spl11_111,
inference(avatar_split_clause,[],[f286,f887]) ).
fof(f286,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f885,plain,
spl11_110,
inference(avatar_split_clause,[],[f277,f883]) ).
fof(f277,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f868,plain,
( spl11_108
| ~ spl11_109
| ~ spl11_15
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f733,f700,f399,f865,f861]) ).
fof(f861,plain,
( spl11_108
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_108])]) ).
fof(f733,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2)
| ~ spl11_15
| ~ spl11_77 ),
inference(superposition,[],[f701,f401]) ).
fof(f854,plain,
spl11_107,
inference(avatar_split_clause,[],[f307,f852]) ).
fof(f307,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f850,plain,
spl11_106,
inference(avatar_split_clause,[],[f304,f848]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f846,plain,
spl11_105,
inference(avatar_split_clause,[],[f299,f844]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f842,plain,
spl11_104,
inference(avatar_split_clause,[],[f279,f840]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f838,plain,
spl11_103,
inference(avatar_split_clause,[],[f270,f836]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f834,plain,
( spl11_102
| ~ spl11_15
| ~ spl11_73 ),
inference(avatar_split_clause,[],[f728,f684,f399,f831]) ).
fof(f831,plain,
( spl11_102
<=> sK2 = tail(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_102])]) ).
fof(f728,plain,
( sK2 = tail(queue(host(sK3)))
| ~ spl11_15
| ~ spl11_73 ),
inference(superposition,[],[f685,f401]) ).
fof(f829,plain,
spl11_101,
inference(avatar_split_clause,[],[f268,f827]) ).
fof(f268,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f825,plain,
spl11_100,
inference(avatar_split_clause,[],[f267,f823]) ).
fof(f267,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f821,plain,
spl11_99,
inference(avatar_split_clause,[],[f265,f819]) ).
fof(f819,plain,
( spl11_99
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_99])]) ).
fof(f265,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f817,plain,
spl11_98,
inference(avatar_split_clause,[],[f263,f815]) ).
fof(f815,plain,
( spl11_98
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_98])]) ).
fof(f263,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f813,plain,
spl11_97,
inference(avatar_split_clause,[],[f261,f811]) ).
fof(f811,plain,
( spl11_97
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_97])]) ).
fof(f261,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f809,plain,
spl11_96,
inference(avatar_split_clause,[],[f259,f807]) ).
fof(f807,plain,
( spl11_96
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_96])]) ).
fof(f259,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f805,plain,
spl11_95,
inference(avatar_split_clause,[],[f257,f803]) ).
fof(f803,plain,
( spl11_95
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_95])]) ).
fof(f257,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f794,plain,
spl11_94,
inference(avatar_split_clause,[],[f194,f792]) ).
fof(f194,plain,
! [X12,X13] :
( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f789,plain,
( spl11_93
| ~ spl11_15
| ~ spl11_67 ),
inference(avatar_split_clause,[],[f666,f651,f399,f786]) ).
fof(f666,plain,
( elem(m_Halt(sK4),queue(host(sK3)))
| ~ spl11_15
| ~ spl11_67 ),
inference(superposition,[],[f652,f401]) ).
fof(f773,plain,
spl11_92,
inference(avatar_split_clause,[],[f289,f771]) ).
fof(f289,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f769,plain,
spl11_91,
inference(avatar_split_clause,[],[f285,f767]) ).
fof(f285,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f765,plain,
spl11_90,
inference(avatar_split_clause,[],[f281,f763]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f761,plain,
spl11_89,
inference(avatar_split_clause,[],[f276,f759]) ).
fof(f276,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f757,plain,
spl11_88,
inference(avatar_split_clause,[],[f272,f755]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f753,plain,
spl11_87,
inference(avatar_split_clause,[],[f252,f751]) ).
fof(f252,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f749,plain,
spl11_86,
inference(avatar_split_clause,[],[f227,f747]) ).
fof(f227,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f742,plain,
spl11_85,
inference(avatar_split_clause,[],[f193,f740]) ).
fof(f193,plain,
! [X16,X14,X15] :
( ~ setIn(host(X16),index(down,host(X15)))
| host(X14) != host(X15)
| ~ elem(m_Ack(X16,X14),queue(host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f738,plain,
( ~ spl11_84
| ~ spl11_15
| ~ spl11_63 ),
inference(avatar_split_clause,[],[f665,f635,f399,f735]) ).
fof(f635,plain,
( spl11_63
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_63])]) ).
fof(f665,plain,
( q_nil != queue(host(sK3))
| ~ spl11_15
| ~ spl11_63 ),
inference(superposition,[],[f636,f401]) ).
fof(f636,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl11_63 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f726,plain,
spl11_83,
inference(avatar_split_clause,[],[f297,f724]) ).
fof(f724,plain,
( spl11_83
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_83])]) ).
fof(f297,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f722,plain,
spl11_82,
inference(avatar_split_clause,[],[f296,f720]) ).
fof(f720,plain,
( spl11_82
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_82])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f718,plain,
spl11_81,
inference(avatar_split_clause,[],[f295,f716]) ).
fof(f716,plain,
( spl11_81
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_81])]) ).
fof(f295,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f714,plain,
spl11_80,
inference(avatar_split_clause,[],[f294,f712]) ).
fof(f712,plain,
( spl11_80
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_80])]) ).
fof(f294,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f710,plain,
spl11_79,
inference(avatar_split_clause,[],[f293,f708]) ).
fof(f708,plain,
( spl11_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_79])]) ).
fof(f293,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f706,plain,
spl11_78,
inference(avatar_split_clause,[],[f284,f704]) ).
fof(f284,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f702,plain,
spl11_77,
inference(avatar_split_clause,[],[f275,f700]) ).
fof(f275,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f698,plain,
spl11_76,
inference(avatar_split_clause,[],[f251,f696]) ).
fof(f251,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f694,plain,
spl11_75,
inference(avatar_split_clause,[],[f250,f692]) ).
fof(f250,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f690,plain,
spl11_74,
inference(avatar_split_clause,[],[f249,f688]) ).
fof(f249,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f686,plain,
spl11_73,
inference(avatar_split_clause,[],[f248,f684]) ).
fof(f248,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f682,plain,
spl11_72,
inference(avatar_split_clause,[],[f247,f680]) ).
fof(f247,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f675,plain,
( ~ spl11_71
| spl11_43
| ~ spl11_69 ),
inference(avatar_split_clause,[],[f664,f659,f548,f672]) ).
fof(f664,plain,
( sK4 != sK7
| spl11_43
| ~ spl11_69 ),
inference(superposition,[],[f549,f661]) ).
fof(f549,plain,
( sK4 != index(elid,host(sK4))
| spl11_43 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f670,plain,
spl11_70,
inference(avatar_split_clause,[],[f192,f668]) ).
fof(f192,plain,
! [X18,X19,X17] :
( ~ setIn(X19,alive)
| host(X17) != host(X19)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ elem(m_Down(X17),queue(host(X18))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f662,plain,
( spl11_69
| ~ spl11_2
| ~ spl11_6
| ~ spl11_11
| ~ spl11_40 ),
inference(avatar_split_clause,[],[f534,f522,f378,f351,f331,f659]) ).
fof(f534,plain,
( ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK4))
| ~ spl11_6
| ~ spl11_11
| ~ spl11_40 ),
inference(trivial_inequality_removal,[],[f533]) ).
fof(f533,plain,
( elec_2 != elec_2
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK4))
| ~ spl11_6
| ~ spl11_11
| ~ spl11_40 ),
inference(forward_demodulation,[],[f529,f380]) ).
fof(f529,plain,
( elec_2 != index(status,host(sK4))
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK4))
| ~ spl11_6
| ~ spl11_40 ),
inference(superposition,[],[f523,f353]) ).
fof(f657,plain,
spl11_68,
inference(avatar_split_clause,[],[f322,f655]) ).
fof(f322,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f653,plain,
spl11_67,
inference(avatar_split_clause,[],[f321,f651]) ).
fof(f321,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f303]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f649,plain,
spl11_66,
inference(avatar_split_clause,[],[f280,f647]) ).
fof(f647,plain,
( spl11_66
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_66])]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f645,plain,
spl11_65,
inference(avatar_split_clause,[],[f271,f643]) ).
fof(f643,plain,
( spl11_65
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_65])]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f641,plain,
spl11_64,
inference(avatar_split_clause,[],[f246,f639]) ).
fof(f639,plain,
( spl11_64
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_64])]) ).
fof(f246,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/benchmark/theBenchmark.p',axiom_42) ).
fof(f637,plain,
spl11_63,
inference(avatar_split_clause,[],[f245,f635]) ).
fof(f245,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/benchmark/theBenchmark.p',axiom_41) ).
fof(f633,plain,
spl11_62,
inference(avatar_split_clause,[],[f244,f631]) ).
fof(f631,plain,
( spl11_62
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_62])]) ).
fof(f244,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f629,plain,
spl11_61,
inference(avatar_split_clause,[],[f243,f627]) ).
fof(f627,plain,
( spl11_61
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_61])]) ).
fof(f243,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f625,plain,
spl11_60,
inference(avatar_split_clause,[],[f242,f623]) ).
fof(f623,plain,
( spl11_60
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_60])]) ).
fof(f242,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f621,plain,
spl11_59,
inference(avatar_split_clause,[],[f241,f619]) ).
fof(f619,plain,
( spl11_59
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_59])]) ).
fof(f241,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f617,plain,
spl11_58,
inference(avatar_split_clause,[],[f240,f615]) ).
fof(f615,plain,
( spl11_58
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_58])]) ).
fof(f240,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f613,plain,
spl11_57,
inference(avatar_split_clause,[],[f239,f611]) ).
fof(f611,plain,
( spl11_57
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).
fof(f239,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f609,plain,
spl11_56,
inference(avatar_split_clause,[],[f238,f607]) ).
fof(f607,plain,
( spl11_56
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).
fof(f238,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f605,plain,
spl11_55,
inference(avatar_split_clause,[],[f237,f603]) ).
fof(f603,plain,
( spl11_55
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).
fof(f237,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f601,plain,
spl11_54,
inference(avatar_split_clause,[],[f236,f599]) ).
fof(f599,plain,
( spl11_54
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_54])]) ).
fof(f236,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f597,plain,
spl11_53,
inference(avatar_split_clause,[],[f235,f595]) ).
fof(f595,plain,
( spl11_53
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_53])]) ).
fof(f235,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f593,plain,
spl11_52,
inference(avatar_split_clause,[],[f226,f591]) ).
fof(f226,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f589,plain,
spl11_51,
inference(avatar_split_clause,[],[f225,f587]) ).
fof(f225,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f585,plain,
spl11_50,
inference(avatar_split_clause,[],[f224,f583]) ).
fof(f224,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f580,plain,
spl11_49,
inference(avatar_split_clause,[],[f187,f578]) ).
fof(f187,plain,
! [X26,X25] :
( leq(host(X25),index(pendack,host(X26)))
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f575,plain,
spl11_48,
inference(avatar_split_clause,[],[f324,f573]) ).
fof(f324,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f229,f227]) ).
fof(f229,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f571,plain,
spl11_47,
inference(avatar_split_clause,[],[f223,f569]) ).
fof(f223,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f567,plain,
spl11_46,
inference(avatar_split_clause,[],[f222,f565]) ).
fof(f222,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f563,plain,
spl11_45,
inference(avatar_split_clause,[],[f218,f560]) ).
fof(f218,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f555,plain,
( spl11_43
| ~ spl11_44
| ~ spl11_11
| ~ spl11_40 ),
inference(avatar_split_clause,[],[f532,f522,f378,f552,f548]) ).
fof(f532,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl11_11
| ~ spl11_40 ),
inference(trivial_inequality_removal,[],[f531]) ).
fof(f531,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl11_11
| ~ spl11_40 ),
inference(superposition,[],[f523,f380]) ).
fof(f542,plain,
spl11_42,
inference(avatar_split_clause,[],[f189,f540]) ).
fof(f540,plain,
( spl11_42
<=> ! [X22,X21] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
fof(f189,plain,
! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| elec_1 != index(status,host(X22))
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f538,plain,
spl11_41,
inference(avatar_split_clause,[],[f188,f536]) ).
fof(f536,plain,
( spl11_41
<=> ! [X24,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_41])]) ).
fof(f188,plain,
! [X24,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_1 != index(status,host(X24))
| ~ setIn(X24,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f524,plain,
spl11_40,
inference(avatar_split_clause,[],[f191,f522]) ).
fof(f191,plain,
! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X20)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f520,plain,
spl11_39,
inference(avatar_split_clause,[],[f190,f518]) ).
fof(f190,plain,
! [X20] :
( index(elid,host(X20)) = X20
| ~ setIn(X20,alive)
| elec_1 != index(status,host(X20)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f509,plain,
spl11_38,
inference(avatar_split_clause,[],[f186,f507]) ).
fof(f186,plain,
! [X28,X27] :
( ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X28)
| X27 = X28 ),
inference(cnf_transformation,[],[f150]) ).
fof(f505,plain,
spl11_37,
inference(avatar_split_clause,[],[f185,f503]) ).
fof(f185,plain,
! [X29,X30] :
( ~ setIn(X30,alive)
| host(X29) != host(X30)
| ~ leq(X30,X29)
| setIn(X29,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f501,plain,
spl11_36,
inference(avatar_split_clause,[],[f311,f499]) ).
fof(f311,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f497,plain,
spl11_35,
inference(avatar_split_clause,[],[f310,f495]) ).
fof(f310,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f493,plain,
spl11_34,
inference(avatar_split_clause,[],[f221,f491]) ).
fof(f221,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f489,plain,
spl11_33,
inference(avatar_split_clause,[],[f220,f487]) ).
fof(f487,plain,
( spl11_33
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
fof(f220,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f485,plain,
spl11_32,
inference(avatar_split_clause,[],[f219,f483]) ).
fof(f219,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f481,plain,
~ spl11_31,
inference(avatar_split_clause,[],[f217,f478]) ).
fof(f478,plain,
( spl11_31
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
fof(f217,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f476,plain,
~ spl11_30,
inference(avatar_split_clause,[],[f216,f473]) ).
fof(f473,plain,
( spl11_30
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
fof(f216,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f471,plain,
~ spl11_29,
inference(avatar_split_clause,[],[f215,f468]) ).
fof(f468,plain,
( spl11_29
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
fof(f215,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f466,plain,
~ spl11_28,
inference(avatar_split_clause,[],[f214,f463]) ).
fof(f463,plain,
( spl11_28
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
fof(f214,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
fof(f461,plain,
~ spl11_27,
inference(avatar_split_clause,[],[f213,f458]) ).
fof(f458,plain,
( spl11_27
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f213,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f456,plain,
~ spl11_26,
inference(avatar_split_clause,[],[f212,f453]) ).
fof(f453,plain,
( spl11_26
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f212,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f451,plain,
~ spl11_25,
inference(avatar_split_clause,[],[f211,f448]) ).
fof(f448,plain,
( spl11_25
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f211,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f445,plain,
spl11_24,
inference(avatar_split_clause,[],[f184,f443]) ).
fof(f184,plain,
! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f441,plain,
( spl11_23
| ~ spl11_6
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f435,f431,f351,f438]) ).
fof(f431,plain,
( spl11_22
<=> elem(m_Ack(sK7,sK6),snoc(queue(host(sK7)),m_Ack(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f435,plain,
( elem(m_Ack(sK7,sK6),snoc(queue(host(sK4)),m_Ack(sK4,sK3)))
| ~ spl11_6
| ~ spl11_22 ),
inference(forward_demodulation,[],[f433,f353]) ).
fof(f433,plain,
( elem(m_Ack(sK7,sK6),snoc(queue(host(sK7)),m_Ack(sK4,sK3)))
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
spl11_22,
inference(avatar_split_clause,[],[f204,f431]) ).
fof(f204,plain,
elem(m_Ack(sK7,sK6),snoc(queue(host(sK7)),m_Ack(sK4,sK3))),
inference(cnf_transformation,[],[f150]) ).
fof(f429,plain,
( spl11_20
| spl11_21
| ~ spl11_6
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f417,f414,f351,f427,f423]) ).
fof(f417,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| setIn(sK7,pids) )
| ~ spl11_6
| ~ spl11_18 ),
inference(superposition,[],[f415,f353]) ).
fof(f421,plain,
spl11_19,
inference(avatar_split_clause,[],[f183,f419]) ).
fof(f183,plain,
! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f416,plain,
spl11_18,
inference(avatar_split_clause,[],[f181,f414]) ).
fof(f181,plain,
! [X38,X39] :
( setIn(X39,pids)
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f411,plain,
spl11_17,
inference(avatar_split_clause,[],[f182,f409]) ).
fof(f182,plain,
! [X36,X37] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X37),queue(host(X36))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f407,plain,
spl11_16,
inference(avatar_split_clause,[],[f210,f404]) ).
fof(f404,plain,
( spl11_16
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f210,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f402,plain,
spl11_15,
inference(avatar_split_clause,[],[f197,f399]) ).
fof(f197,plain,
queue(host(sK3)) = cons(m_Halt(sK4),sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f397,plain,
( spl11_14
| ~ spl11_6
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f387,f383,f351,f394]) ).
fof(f383,plain,
( spl11_12
<=> host(sK6) = index(pendack,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f387,plain,
( host(sK6) = index(pendack,host(sK4))
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f385,f353]) ).
fof(f385,plain,
( host(sK6) = index(pendack,host(sK7))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f392,plain,
spl11_13,
inference(avatar_split_clause,[],[f208,f389]) ).
fof(f208,plain,
host(sK5) = index(ldr,host(sK5)),
inference(cnf_transformation,[],[f150]) ).
fof(f386,plain,
spl11_12,
inference(avatar_split_clause,[],[f206,f383]) ).
fof(f206,plain,
host(sK6) = index(pendack,host(sK7)),
inference(cnf_transformation,[],[f150]) ).
fof(f381,plain,
( spl11_11
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f371,f367,f351,f378]) ).
fof(f367,plain,
( spl11_9
<=> elec_2 = index(status,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f371,plain,
( elec_2 = index(status,host(sK4))
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f369,f353]) ).
fof(f369,plain,
( elec_2 = index(status,host(sK7))
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f376,plain,
spl11_10,
inference(avatar_split_clause,[],[f209,f373]) ).
fof(f209,plain,
norm = index(status,host(sK5)),
inference(cnf_transformation,[],[f150]) ).
fof(f370,plain,
spl11_9,
inference(avatar_split_clause,[],[f205,f367]) ).
fof(f205,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f150]) ).
fof(f365,plain,
( ~ spl11_8
| ~ spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f360,f356,f351,f362]) ).
fof(f362,plain,
( spl11_8
<=> host(sK3) = host(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f356,plain,
( spl11_7
<=> host(sK3) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f360,plain,
( host(sK3) != host(sK4)
| ~ spl11_6
| spl11_7 ),
inference(forward_demodulation,[],[f358,f353]) ).
fof(f358,plain,
( host(sK3) != host(sK7)
| spl11_7 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
~ spl11_7,
inference(avatar_split_clause,[],[f201,f356]) ).
fof(f201,plain,
host(sK3) != host(sK7),
inference(cnf_transformation,[],[f150]) ).
fof(f354,plain,
spl11_6,
inference(avatar_split_clause,[],[f200,f351]) ).
fof(f200,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f150]) ).
fof(f349,plain,
~ spl11_5,
inference(avatar_split_clause,[],[f199,f346]) ).
fof(f199,plain,
host(sK3) != host(sK5),
inference(cnf_transformation,[],[f150]) ).
fof(f344,plain,
spl11_4,
inference(avatar_split_clause,[],[f323,f341]) ).
fof(f323,plain,
leq(nbr_proc,host(sK6)),
inference(forward_demodulation,[],[f203,f206]) ).
fof(f203,plain,
leq(nbr_proc,index(pendack,host(sK7))),
inference(cnf_transformation,[],[f150]) ).
fof(f339,plain,
spl11_3,
inference(avatar_split_clause,[],[f207,f336]) ).
fof(f207,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f334,plain,
spl11_2,
inference(avatar_split_clause,[],[f202,f331]) ).
fof(f202,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f329,plain,
spl11_1,
inference(avatar_split_clause,[],[f198,f326]) ).
fof(f198,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:06:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17980)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17983)WARNING: value z3 for option sas not known
% 0.15/0.38 % (17984)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (17982)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (17981)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (17983)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17986)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (17985)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (17987)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 Detected minimum model sizes of [4]
% 0.22/0.39 Detected maximum model sizes of [max]
% 0.22/0.39 TRYING [4]
% 0.22/0.43 Detected minimum model sizes of [4]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.47 % (17985)First to succeed.
% 0.22/0.48 % (17985)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17980"
% 0.22/0.48 % (17985)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (17985)------------------------------
% 0.22/0.49 % (17985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49 % (17985)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (17985)Memory used [KB]: 2384
% 0.22/0.49 % (17985)Time elapsed: 0.104 s
% 0.22/0.49 % (17985)Instructions burned: 170 (million)
% 0.22/0.49 % (17980)Success in time 0.117 s
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