TSTP Solution File: SWV465+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV465+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 06:24:59 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 376
% Syntax : Number of formulae : 1243 ( 254 unt; 0 def)
% Number of atoms : 4556 (1117 equ)
% Maximal formula atoms : 176 ( 3 avg)
% Number of connectives : 5906 (2593 ~;2358 |; 528 &)
% ( 336 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 311 ( 309 usr; 303 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 23 con; 0-2 aty)
% Number of variables : 1803 (1750 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2995,plain,
$false,
inference(avatar_sat_refutation,[],[f338,f343,f348,f353,f358,f363,f369,f374,f380,f386,f391,f396,f402,f407,f413,f418,f423,f429,f434,f441,f446,f451,f455,f459,f463,f476,f480,f487,f492,f497,f502,f507,f512,f517,f521,f525,f531,f535,f539,f544,f548,f558,f562,f573,f586,f597,f601,f605,f609,f617,f621,f629,f633,f637,f641,f645,f649,f653,f657,f661,f665,f669,f673,f677,f681,f685,f689,f693,f697,f701,f710,f714,f718,f722,f726,f730,f734,f738,f742,f746,f750,f754,f758,f772,f776,f780,f784,f788,f792,f796,f800,f817,f822,f826,f830,f861,f872,f888,f893,f897,f901,f905,f909,f913,f917,f921,f925,f929,f933,f942,f946,f972,f976,f980,f984,f1014,f1024,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1086,f1092,f1096,f1100,f1104,f1144,f1149,f1153,f1157,f1168,f1193,f1202,f1206,f1210,f1231,f1235,f1244,f1248,f1285,f1310,f1315,f1321,f1328,f1334,f1338,f1352,f1357,f1366,f1371,f1379,f1384,f1389,f1402,f1410,f1416,f1422,f1429,f1434,f1439,f1443,f1453,f1458,f1463,f1472,f1478,f1485,f1495,f1501,f1516,f1520,f1538,f1547,f1551,f1556,f1564,f1569,f1574,f1587,f1594,f1600,f1604,f1610,f1627,f1644,f1654,f1668,f1678,f1682,f1686,f1691,f1699,f1724,f1728,f1736,f1811,f1851,f1855,f1859,f1863,f1867,f1871,f1875,f1926,f1930,f1939,f1944,f1952,f1956,f1960,f1964,f1998,f2011,f2032,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2126,f2148,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2181,f2185,f2273,f2277,f2281,f2285,f2330,f2334,f2338,f2359,f2392,f2396,f2400,f2404,f2408,f2483,f2487,f2518,f2522,f2526,f2530,f2603,f2607,f2613,f2617,f2626,f2630,f2634,f2638,f2642,f2646,f2662,f2679,f2700,f2704,f2705,f2715,f2741,f2753,f2767,f2771,f2775,f2779,f2783,f2853,f2858,f2891,f2903,f2907,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2965,f2987,f2993,f2994]) ).
fof(f2994,plain,
( spl13_281
| ~ spl13_64
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f2976,f1399,f675,f2739]) ).
fof(f2739,plain,
( spl13_281
<=> ! [X0] : m_NotNorm(X0) != m_NotNorm(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_281])]) ).
fof(f675,plain,
( spl13_64
<=> ! [X0,X1] : m_NotNorm(X1) != m_Down(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f1399,plain,
( spl13_163
<=> m_NotNorm(sK3) = m_Down(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).
fof(f2976,plain,
( ! [X0] : m_NotNorm(X0) != m_NotNorm(sK3)
| ~ spl13_64
| ~ spl13_163 ),
inference(superposition,[],[f676,f1401]) ).
fof(f1401,plain,
( m_NotNorm(sK3) = m_Down(sK7)
| ~ spl13_163 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f676,plain,
( ! [X0,X1] : m_NotNorm(X1) != m_Down(X0)
| ~ spl13_64 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f2993,plain,
( spl13_302
| ~ spl13_53
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f2972,f1399,f631,f2990]) ).
fof(f2990,plain,
( spl13_302
<=> sK7 = pidMsg(m_NotNorm(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_302])]) ).
fof(f631,plain,
( spl13_53
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f2972,plain,
( sK7 = pidMsg(m_NotNorm(sK3))
| ~ spl13_53
| ~ spl13_163 ),
inference(superposition,[],[f632,f1401]) ).
fof(f632,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl13_53 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f2987,plain,
( spl13_301
| ~ spl13_38
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f2971,f1399,f533,f2984]) ).
fof(f2984,plain,
( spl13_301
<=> pidElem(m_NotNorm(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_301])]) ).
fof(f533,plain,
( spl13_38
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f2971,plain,
( pidElem(m_NotNorm(sK3))
| ~ spl13_38
| ~ spl13_163 ),
inference(superposition,[],[f534,f1401]) ).
fof(f534,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f2965,plain,
( ~ spl13_162
| ~ spl13_144
| spl13_282 ),
inference(avatar_split_clause,[],[f2754,f2750,f1233,f1395]) ).
fof(f1395,plain,
( spl13_162
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).
fof(f1233,plain,
( spl13_144
<=> ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).
fof(f2750,plain,
( spl13_282
<=> elem(m_Down(sK7),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_282])]) ).
fof(f2754,plain,
( ~ elem(m_Down(sK7),sK2)
| ~ spl13_144
| spl13_282 ),
inference(resolution,[],[f2752,f1234]) ).
fof(f1234,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl13_144 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f2752,plain,
( ~ elem(m_Down(sK7),queue(host(sK3)))
| spl13_282 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f2939,plain,
( spl13_300
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1589,f1585,f2937]) ).
fof(f2937,plain,
( spl13_300
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_300])]) ).
fof(f1585,plain,
( spl13_191
<=> ! [X0,X1] :
( host(X0) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).
fof(f1589,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) )
| ~ spl13_191 ),
inference(equality_resolution,[],[f1586]) ).
fof(f1586,plain,
( ! [X0,X1] :
( host(X0) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_191 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f2935,plain,
( spl13_299
| ~ spl13_72
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1523,f1514,f712,f2933]) ).
fof(f2933,plain,
( spl13_299
<=> ! [X0] : m_NormQ(sK3) = head(snoc(queue(host(sK3)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_299])]) ).
fof(f712,plain,
( spl13_72
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1514,plain,
( spl13_182
<=> ! [X0] : cons(m_NormQ(sK3),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).
fof(f1523,plain,
( ! [X0] : m_NormQ(sK3) = head(snoc(queue(host(sK3)),X0))
| ~ spl13_72
| ~ spl13_182 ),
inference(superposition,[],[f713,f1515]) ).
fof(f1515,plain,
( ! [X0] : cons(m_NormQ(sK3),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl13_182 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f713,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f2931,plain,
( spl13_298
| ~ spl13_91
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1345,f1336,f798,f2929]) ).
fof(f2929,plain,
( spl13_298
<=> ! [X0] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_298])]) ).
fof(f798,plain,
( spl13_91
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f1336,plain,
( spl13_154
<=> ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).
fof(f1345,plain,
( ! [X0] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(host(sK6),X0) )
| ~ spl13_91
| ~ spl13_154 ),
inference(resolution,[],[f1337,f799]) ).
fof(f799,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl13_91 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f1337,plain,
( ! [X0] :
( ~ leq(host(sK6),X0)
| leq(nbr_proc,s(X0)) )
| ~ spl13_154 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f2927,plain,
( spl13_297
| ~ spl13_25
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1299,f1233,f461,f2925]) ).
fof(f2925,plain,
( spl13_297
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK3),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_297])]) ).
fof(f461,plain,
( spl13_25
<=> ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f1299,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK3),host(X0)) )
| ~ spl13_25
| ~ spl13_144 ),
inference(resolution,[],[f1234,f462]) ).
fof(f462,plain,
( ! [X40,X39] :
( ~ elem(m_Halt(X40),queue(host(X39)))
| ~ leq(host(X39),host(X40)) )
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f2923,plain,
( spl13_296
| ~ spl13_23
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1298,f1233,f453,f2921]) ).
fof(f2921,plain,
( spl13_296
<=> ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK3),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_296])]) ).
fof(f453,plain,
( spl13_23
<=> ! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f1298,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK3),host(X0)) )
| ~ spl13_23
| ~ spl13_144 ),
inference(resolution,[],[f1234,f454]) ).
fof(f454,plain,
( ! [X44,X43] :
( ~ elem(m_Ldr(X44),queue(host(X43)))
| ~ leq(host(X43),host(X44)) )
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f2919,plain,
( spl13_295
| ~ spl13_123
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1273,f1241,f1034,f2917]) ).
fof(f2917,plain,
( spl13_295
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(nbr_proc))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_295])]) ).
fof(f1034,plain,
( spl13_123
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f1241,plain,
( spl13_146
<=> nbr_proc = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).
fof(f1273,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(nbr_proc))
| setIn(X0,pids) )
| ~ spl13_123
| ~ spl13_146 ),
inference(superposition,[],[f1035,f1243]) ).
fof(f1243,plain,
( nbr_proc = host(sK7)
| ~ spl13_146 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl13_123 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f2915,plain,
( spl13_293
| spl13_294
| ~ spl13_122
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1272,f1241,f1030,f2913,f2909]) ).
fof(f2909,plain,
( spl13_293
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_293])]) ).
fof(f2913,plain,
( spl13_294
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_294])]) ).
fof(f1030,plain,
( spl13_122
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1272,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(nbr_proc))
| setIn(sK7,pids) )
| ~ spl13_122
| ~ spl13_146 ),
inference(superposition,[],[f1031,f1243]) ).
fof(f1031,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl13_122 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f2907,plain,
( spl13_292
| ~ spl13_25
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1256,f1241,f461,f2905]) ).
fof(f2905,plain,
( spl13_292
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_292])]) ).
fof(f1256,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_25
| ~ spl13_146 ),
inference(superposition,[],[f462,f1243]) ).
fof(f2903,plain,
( spl13_291
| ~ spl13_24
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1255,f1241,f457,f2901]) ).
fof(f2901,plain,
( spl13_291
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_291])]) ).
fof(f457,plain,
( spl13_24
<=> ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1255,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(nbr_proc)) )
| ~ spl13_24
| ~ spl13_146 ),
inference(superposition,[],[f458,f1243]) ).
fof(f458,plain,
( ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) )
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2891,plain,
~ spl13_281,
inference(avatar_contradiction_clause,[],[f2890]) ).
fof(f2890,plain,
( $false
| ~ spl13_281 ),
inference(equality_resolution,[],[f2740]) ).
fof(f2740,plain,
( ! [X0] : m_NotNorm(X0) != m_NotNorm(sK3)
| ~ spl13_281 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f2858,plain,
( spl13_290
| ~ spl13_169
| ~ spl13_277 ),
inference(avatar_split_clause,[],[f2756,f2676,f1432,f2855]) ).
fof(f2855,plain,
( spl13_290
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_290])]) ).
fof(f1432,plain,
( spl13_169
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).
fof(f2676,plain,
( spl13_277
<=> elem(m_Ack(sK4,sK6),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_277])]) ).
fof(f2756,plain,
( setIn(sK6,pids)
| ~ spl13_169
| ~ spl13_277 ),
inference(resolution,[],[f2677,f1433]) ).
fof(f1433,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| setIn(X0,pids) )
| ~ spl13_169 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f2677,plain,
( elem(m_Ack(sK4,sK6),queue(host(sK3)))
| ~ spl13_277 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2853,plain,
( spl13_289
| ~ spl13_23
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1253,f1241,f453,f2851]) ).
fof(f2851,plain,
( spl13_289
<=> ! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_289])]) ).
fof(f1253,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_23
| ~ spl13_146 ),
inference(superposition,[],[f454,f1243]) ).
fof(f2783,plain,
( spl13_288
| ~ spl13_69
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1522,f1514,f695,f2781]) ).
fof(f2781,plain,
( spl13_288
<=> ! [X0] : elem(m_NormQ(sK3),snoc(queue(host(sK3)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_288])]) ).
fof(f695,plain,
( spl13_69
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f1522,plain,
( ! [X0] : elem(m_NormQ(sK3),snoc(queue(host(sK3)),X0))
| ~ spl13_69
| ~ spl13_182 ),
inference(superposition,[],[f696,f1515]) ).
fof(f696,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f2779,plain,
( spl13_287
| ~ spl13_144
| ~ spl13_169 ),
inference(avatar_split_clause,[],[f1454,f1432,f1233,f2777]) ).
fof(f2777,plain,
( spl13_287
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_287])]) ).
fof(f1454,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) )
| ~ spl13_144
| ~ spl13_169 ),
inference(resolution,[],[f1433,f1234]) ).
fof(f2775,plain,
( spl13_286
| ~ spl13_76
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1359,f1355,f728,f2773]) ).
fof(f2773,plain,
( spl13_286
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_286])]) ).
fof(f728,plain,
( spl13_76
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f1355,plain,
( spl13_156
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).
fof(f1359,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| leq(host(sK6),X0) )
| ~ spl13_76
| ~ spl13_156 ),
inference(resolution,[],[f1356,f729]) ).
fof(f729,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f1356,plain,
( ! [X0] :
( ~ leq(X0,host(sK6))
| leq(s(X0),nbr_proc) )
| ~ spl13_156 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f2771,plain,
( spl13_285
| ~ spl13_76
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1342,f1336,f728,f2769]) ).
fof(f2769,plain,
( spl13_285
<=> ! [X0] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_285])]) ).
fof(f1342,plain,
( ! [X0] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK6)) )
| ~ spl13_76
| ~ spl13_154 ),
inference(resolution,[],[f1337,f729]) ).
fof(f2767,plain,
( spl13_283
| spl13_284
| ~ spl13_122
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1296,f1233,f1030,f2765,f2761]) ).
fof(f2761,plain,
( spl13_283
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_283])]) ).
fof(f2765,plain,
( spl13_284
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_284])]) ).
fof(f1296,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(sK3,pids) )
| ~ spl13_122
| ~ spl13_144 ),
inference(resolution,[],[f1234,f1031]) ).
fof(f2753,plain,
( ~ spl13_282
| ~ spl13_146
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f2748,f1722,f1241,f2750]) ).
fof(f1722,plain,
( spl13_207
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_207])]) ).
fof(f2748,plain,
( ~ elem(m_Down(sK7),queue(host(sK3)))
| ~ spl13_146
| ~ spl13_207 ),
inference(trivial_inequality_removal,[],[f2747]) ).
fof(f2747,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Down(sK7),queue(host(sK3)))
| ~ spl13_146
| ~ spl13_207 ),
inference(superposition,[],[f1723,f1243]) ).
fof(f1723,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK3))) )
| ~ spl13_207 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f2741,plain,
( spl13_281
| ~ spl13_81
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f2723,f1482,f748,f2739]) ).
fof(f748,plain,
( spl13_81
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f1482,plain,
( spl13_179
<=> m_NotNorm(sK3) = m_Ack(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).
fof(f2723,plain,
( ! [X0] : m_NotNorm(X0) != m_NotNorm(sK3)
| ~ spl13_81
| ~ spl13_179 ),
inference(superposition,[],[f749,f1484]) ).
fof(f1484,plain,
( m_NotNorm(sK3) = m_Ack(sK4,sK6)
| ~ spl13_179 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f749,plain,
( ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2)
| ~ spl13_81 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f2715,plain,
( ~ spl13_280
| spl13_178
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f2706,f1482,f1475,f2712]) ).
fof(f2712,plain,
( spl13_280
<=> elem(m_NotNorm(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_280])]) ).
fof(f1475,plain,
( spl13_178
<=> elem(m_Ack(sK4,sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).
fof(f2706,plain,
( ~ elem(m_NotNorm(sK3),sK2)
| spl13_178
| ~ spl13_179 ),
inference(forward_demodulation,[],[f1476,f1484]) ).
fof(f1476,plain,
( ~ elem(m_Ack(sK4,sK6),sK2)
| spl13_178 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f2705,plain,
( ~ spl13_178
| ~ spl13_144
| spl13_277 ),
inference(avatar_split_clause,[],[f2695,f2676,f1233,f1475]) ).
fof(f2695,plain,
( ~ elem(m_Ack(sK4,sK6),sK2)
| ~ spl13_144
| spl13_277 ),
inference(resolution,[],[f2678,f1234]) ).
fof(f2678,plain,
( ~ elem(m_Ack(sK4,sK6),queue(host(sK3)))
| spl13_277 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2704,plain,
( spl13_279
| ~ spl13_123
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1295,f1233,f1034,f2702]) ).
fof(f2702,plain,
( spl13_279
<=> ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_279])]) ).
fof(f1295,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(X0,pids) )
| ~ spl13_123
| ~ spl13_144 ),
inference(resolution,[],[f1234,f1035]) ).
fof(f2700,plain,
( ~ spl13_278
| spl13_173
| ~ spl13_128
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1280,f1241,f1084,f1451,f2697]) ).
fof(f2697,plain,
( spl13_278
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_278])]) ).
fof(f1451,plain,
( spl13_173
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).
fof(f1084,plain,
( spl13_128
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f1280,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) )
| ~ spl13_128
| ~ spl13_146 ),
inference(inner_rewriting,[],[f1279]) ).
fof(f1279,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| nbr_proc != s(nbr_proc) )
| ~ spl13_128
| ~ spl13_146 ),
inference(inner_rewriting,[],[f1274]) ).
fof(f1274,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != nbr_proc )
| ~ spl13_128
| ~ spl13_146 ),
inference(superposition,[],[f1085,f1243]) ).
fof(f1085,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl13_128 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f2679,plain,
( ~ spl13_277
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1844,f1715,f2676]) ).
fof(f1715,plain,
( spl13_205
<=> ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_205])]) ).
fof(f1844,plain,
( ~ elem(m_Ack(sK4,sK6),queue(host(sK3)))
| ~ spl13_205 ),
inference(equality_resolution,[],[f1716]) ).
fof(f1716,plain,
( ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3))) )
| ~ spl13_205 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f2662,plain,
( spl13_276
| ~ spl13_91
| ~ spl13_158 ),
inference(avatar_split_clause,[],[f1372,f1369,f798,f2660]) ).
fof(f2660,plain,
( spl13_276
<=> ! [X0] :
( leq(host(sK6),X0)
| ~ leq(nbr_proc,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_276])]) ).
fof(f1369,plain,
( spl13_158
<=> ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).
fof(f1372,plain,
( ! [X0] :
( leq(host(sK6),X0)
| ~ leq(nbr_proc,X0) )
| ~ spl13_91
| ~ spl13_158 ),
inference(resolution,[],[f1370,f799]) ).
fof(f1370,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK6),X0) )
| ~ spl13_158 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f2646,plain,
( spl13_275
| ~ spl13_53
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1220,f1208,f631,f2644]) ).
fof(f2644,plain,
( spl13_275
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_275])]) ).
fof(f1208,plain,
( spl13_142
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).
fof(f1220,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_53
| ~ spl13_142 ),
inference(superposition,[],[f1209,f632]) ).
fof(f1209,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) )
| ~ spl13_142 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f2642,plain,
( spl13_274
| ~ spl13_52
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1219,f1208,f627,f2640]) ).
fof(f2640,plain,
( spl13_274
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_274])]) ).
fof(f627,plain,
( spl13_52
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_52
| ~ spl13_142 ),
inference(superposition,[],[f1209,f628]) ).
fof(f628,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f2638,plain,
( spl13_273
| ~ spl13_53
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1218,f1208,f631,f2636]) ).
fof(f2636,plain,
( spl13_273
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_273])]) ).
fof(f1218,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl13_53
| ~ spl13_142 ),
inference(superposition,[],[f1209,f632]) ).
fof(f2634,plain,
( spl13_272
| ~ spl13_52
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1217,f1208,f627,f2632]) ).
fof(f2632,plain,
( spl13_272
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_272])]) ).
fof(f1217,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl13_52
| ~ spl13_142 ),
inference(superposition,[],[f1209,f628]) ).
fof(f2630,plain,
( spl13_271
| ~ spl13_53
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1214,f1200,f631,f2628]) ).
fof(f2628,plain,
( spl13_271
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_271])]) ).
fof(f1200,plain,
( spl13_140
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).
fof(f1214,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_53
| ~ spl13_140 ),
inference(superposition,[],[f1201,f632]) ).
fof(f1201,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) )
| ~ spl13_140 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f2626,plain,
( spl13_270
| ~ spl13_52
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1213,f1200,f627,f2624]) ).
fof(f2624,plain,
( spl13_270
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_270])]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_52
| ~ spl13_140 ),
inference(superposition,[],[f1201,f628]) ).
fof(f2617,plain,
( spl13_269
| ~ spl13_53
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1212,f1200,f631,f2615]) ).
fof(f2615,plain,
( spl13_269
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_269])]) ).
fof(f1212,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl13_53
| ~ spl13_140 ),
inference(superposition,[],[f1201,f632]) ).
fof(f2613,plain,
( spl13_268
| ~ spl13_52
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1211,f1200,f627,f2611]) ).
fof(f2611,plain,
( spl13_268
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_268])]) ).
fof(f1211,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl13_52
| ~ spl13_140 ),
inference(superposition,[],[f1201,f628]) ).
fof(f2607,plain,
( spl13_267
| ~ spl13_89
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1161,f1142,f790,f2605]) ).
fof(f2605,plain,
( spl13_267
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_267])]) ).
fof(f790,plain,
( spl13_89
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f1142,plain,
( spl13_133
<=> ! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1161,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_89
| ~ spl13_133 ),
inference(resolution,[],[f1143,f791]) ).
fof(f791,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP1(X0,X1) )
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1143,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK10(X0)) = X0
| m_Down(sK10(X0)) = X0 )
| ~ spl13_133 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f2603,plain,
( spl13_266
| ~ spl13_87
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1160,f1142,f782,f2601]) ).
fof(f2601,plain,
( spl13_266
<=> ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_266])]) ).
fof(f782,plain,
( spl13_87
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f1160,plain,
( ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_87
| ~ spl13_133 ),
inference(resolution,[],[f1143,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP0(X0,X1) )
| ~ spl13_87 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f2530,plain,
( spl13_265
| ~ spl13_109
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1137,f1102,f923,f2528]) ).
fof(f2528,plain,
( spl13_265
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_265])]) ).
fof(f923,plain,
( spl13_109
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f1102,plain,
( spl13_132
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f1137,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_109
| ~ spl13_132 ),
inference(resolution,[],[f1103,f924]) ).
fof(f924,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl13_109 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1103,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_132 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f2526,plain,
( spl13_264
| ~ spl13_108
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1136,f1102,f919,f2524]) ).
fof(f2524,plain,
( spl13_264
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_264])]) ).
fof(f919,plain,
( spl13_108
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_108
| ~ spl13_132 ),
inference(resolution,[],[f1103,f920]) ).
fof(f920,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl13_108 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f2522,plain,
( spl13_263
| ~ spl13_109
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1129,f1098,f923,f2520]) ).
fof(f2520,plain,
( spl13_263
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_263])]) ).
fof(f1098,plain,
( spl13_131
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl13_109
| ~ spl13_131 ),
inference(resolution,[],[f1099,f924]) ).
fof(f1099,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_131 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f2518,plain,
( spl13_262
| ~ spl13_108
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1128,f1098,f919,f2516]) ).
fof(f2516,plain,
( spl13_262
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_262])]) ).
fof(f1128,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl13_108
| ~ spl13_131 ),
inference(resolution,[],[f1099,f920]) ).
fof(f2487,plain,
( spl13_261
| ~ spl13_130
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1140,f1102,f1094,f2485]) ).
fof(f2485,plain,
( spl13_261
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_261])]) ).
fof(f1094,plain,
( spl13_130
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_130
| ~ spl13_132 ),
inference(superposition,[],[f1103,f1095]) ).
fof(f1095,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl13_130 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f2483,plain,
( spl13_260
| ~ spl13_116
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1123,f1094,f974,f2481]) ).
fof(f2481,plain,
( spl13_260
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_260])]) ).
fof(f974,plain,
( spl13_116
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f1123,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_116
| ~ spl13_130 ),
inference(superposition,[],[f975,f1095]) ).
fof(f975,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl13_116 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f2408,plain,
( spl13_259
| ~ spl13_38
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1159,f1142,f533,f2406]) ).
fof(f2406,plain,
( spl13_259
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_259])]) ).
fof(f1159,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) )
| ~ spl13_38
| ~ spl13_133 ),
inference(resolution,[],[f1143,f534]) ).
fof(f2404,plain,
( spl13_258
| ~ spl13_39
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1158,f1142,f537,f2402]) ).
fof(f2402,plain,
( spl13_258
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_258])]) ).
fof(f537,plain,
( spl13_39
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f1158,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) )
| ~ spl13_39
| ~ spl13_133 ),
inference(resolution,[],[f1143,f538]) ).
fof(f538,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f2400,plain,
( spl13_257
| ~ spl13_121
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1139,f1102,f1026,f2398]) ).
fof(f2398,plain,
( spl13_257
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_257])]) ).
fof(f1026,plain,
( spl13_121
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f1139,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_121
| ~ spl13_132 ),
inference(superposition,[],[f1103,f1027]) ).
fof(f1027,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl13_121 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f2396,plain,
( spl13_256
| ~ spl13_120
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1131,f1098,f1022,f2394]) ).
fof(f2394,plain,
( spl13_256
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_256])]) ).
fof(f1022,plain,
( spl13_120
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1131,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_120
| ~ spl13_131 ),
inference(superposition,[],[f1099,f1023]) ).
fof(f1023,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl13_120 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f2392,plain,
( spl13_255
| ~ spl13_120
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1115,f1094,f1022,f2390]) ).
fof(f2390,plain,
( spl13_255
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_255])]) ).
fof(f1115,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_120
| ~ spl13_130 ),
inference(superposition,[],[f1095,f1023]) ).
fof(f2359,plain,
( ~ spl13_254
| ~ spl13_20
| ~ spl13_146
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1640,f1625,f1241,f438,f2356]) ).
fof(f2356,plain,
( spl13_254
<=> leq(s(nbr_proc),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_254])]) ).
fof(f438,plain,
( spl13_20
<=> host(sK7) = s(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1625,plain,
( spl13_196
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).
fof(f1640,plain,
( ~ leq(s(nbr_proc),host(sK6))
| ~ spl13_20
| ~ spl13_146
| ~ spl13_196 ),
inference(forward_demodulation,[],[f1637,f1243]) ).
fof(f1637,plain,
( ~ leq(s(host(sK7)),host(sK6))
| ~ spl13_20
| ~ spl13_196 ),
inference(superposition,[],[f1626,f440]) ).
fof(f440,plain,
( host(sK7) = s(host(sK6))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f1626,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_196 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f2338,plain,
( spl13_253
| ~ spl13_116
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1068,f1026,f974,f2336]) ).
fof(f2336,plain,
( spl13_253
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_253])]) ).
fof(f1068,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_116
| ~ spl13_121 ),
inference(superposition,[],[f975,f1027]) ).
fof(f2334,plain,
( spl13_252
| ~ spl13_115
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1060,f1022,f970,f2332]) ).
fof(f2332,plain,
( spl13_252
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_252])]) ).
fof(f970,plain,
( spl13_115
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f1060,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_115
| ~ spl13_120 ),
inference(superposition,[],[f971,f1023]) ).
fof(f971,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl13_115 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f2330,plain,
( spl13_251
| ~ spl13_106
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f999,f978,f911,f2328]) ).
fof(f2328,plain,
( spl13_251
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_251])]) ).
fof(f911,plain,
( spl13_106
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f978,plain,
( spl13_117
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f999,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl13_106
| ~ spl13_117 ),
inference(resolution,[],[f979,f912]) ).
fof(f912,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl13_106 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl13_117 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f2285,plain,
( spl13_250
| ~ spl13_110
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1125,f1094,f927,f2283]) ).
fof(f2283,plain,
( spl13_250
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_250])]) ).
fof(f927,plain,
( spl13_110
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f1125,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_110
| ~ spl13_130 ),
inference(superposition,[],[f928,f1095]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl13_110 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f2281,plain,
( spl13_249
| ~ spl13_114
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1122,f1094,f944,f2279]) ).
fof(f2279,plain,
( spl13_249
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_249])]) ).
fof(f944,plain,
( spl13_114
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f1122,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_114
| ~ spl13_130 ),
inference(superposition,[],[f945,f1095]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl13_114 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f2277,plain,
( spl13_248
| ~ spl13_106
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1112,f1090,f911,f2275]) ).
fof(f2275,plain,
( spl13_248
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_248])]) ).
fof(f1090,plain,
( spl13_129
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).
fof(f1112,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl13_106
| ~ spl13_129 ),
inference(resolution,[],[f1091,f912]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl13_129 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f2273,plain,
( spl13_247
| ~ spl13_54
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1361,f1355,f635,f2270]) ).
fof(f2270,plain,
( spl13_247
<=> leq(s(s(zero)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_247])]) ).
fof(f635,plain,
( spl13_54
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f1361,plain,
( leq(s(s(zero)),nbr_proc)
| ~ spl13_54
| ~ spl13_156 ),
inference(resolution,[],[f1356,f636]) ).
fof(f636,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2185,plain,
( spl13_246
| ~ spl13_86
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1124,f1094,f778,f2183]) ).
fof(f2183,plain,
( spl13_246
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_246])]) ).
fof(f778,plain,
( spl13_86
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_86
| ~ spl13_130 ),
inference(superposition,[],[f779,f1095]) ).
fof(f779,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl13_86 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f2181,plain,
( ~ spl13_245
| ~ spl13_27
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1258,f1241,f478,f2178]) ).
fof(f2178,plain,
( spl13_245
<=> elem(m_Down(sK7),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_245])]) ).
fof(f478,plain,
( spl13_27
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f1258,plain,
( ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ spl13_27
| ~ spl13_146 ),
inference(superposition,[],[f479,f1243]) ).
fof(f479,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f2176,plain,
( spl13_244
| ~ spl13_90
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1121,f1094,f794,f2174]) ).
fof(f2174,plain,
( spl13_244
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_244])]) ).
fof(f794,plain,
( spl13_90
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_90
| ~ spl13_130 ),
inference(superposition,[],[f795,f1095]) ).
fof(f795,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl13_90 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f2172,plain,
( spl13_243
| ~ spl13_76
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1110,f1090,f728,f2170]) ).
fof(f2170,plain,
( spl13_243
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_243])]) ).
fof(f1110,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl13_76
| ~ spl13_129 ),
inference(resolution,[],[f1091,f729]) ).
fof(f2168,plain,
( spl13_242
| ~ spl13_53
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1080,f1042,f631,f2166]) ).
fof(f2166,plain,
( spl13_242
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_242])]) ).
fof(f1042,plain,
( spl13_125
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_53
| ~ spl13_125 ),
inference(superposition,[],[f1043,f632]) ).
fof(f1043,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl13_125 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2164,plain,
( spl13_241
| ~ spl13_52
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1079,f1042,f627,f2162]) ).
fof(f2162,plain,
( spl13_241
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_241])]) ).
fof(f1079,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_52
| ~ spl13_125 ),
inference(superposition,[],[f1043,f628]) ).
fof(f2160,plain,
( spl13_240
| ~ spl13_53
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1076,f1038,f631,f2158]) ).
fof(f2158,plain,
( spl13_240
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_240])]) ).
fof(f1038,plain,
( spl13_124
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl13_53
| ~ spl13_124 ),
inference(superposition,[],[f1039,f632]) ).
fof(f1039,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_124 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f2156,plain,
( spl13_239
| ~ spl13_52
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1075,f1038,f627,f2154]) ).
fof(f2154,plain,
( spl13_239
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_239])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl13_52
| ~ spl13_124 ),
inference(superposition,[],[f1039,f628]) ).
fof(f2152,plain,
( spl13_238
| ~ spl13_106
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1009,f982,f911,f2150]) ).
fof(f2150,plain,
( spl13_238
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_238])]) ).
fof(f982,plain,
( spl13_118
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f1009,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl13_106
| ~ spl13_118 ),
inference(resolution,[],[f983,f912]) ).
fof(f983,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl13_118 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f2148,plain,
( spl13_237
| ~ spl13_91
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f994,f978,f798,f2146]) ).
fof(f2146,plain,
( spl13_237
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_237])]) ).
fof(f994,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl13_91
| ~ spl13_117 ),
inference(resolution,[],[f979,f799]) ).
fof(f2126,plain,
( ~ spl13_236
| ~ spl13_47
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f1227,f1204,f599,f2123]) ).
fof(f2123,plain,
( spl13_236
<=> leq(s(host(sK7)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_236])]) ).
fof(f599,plain,
( spl13_47
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f1204,plain,
( spl13_141
<=> ! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).
fof(f1227,plain,
( ~ leq(s(host(sK7)),nbr_proc)
| ~ spl13_47
| ~ spl13_141 ),
inference(resolution,[],[f1205,f600]) ).
fof(f600,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f1205,plain,
( ! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,nbr_proc) )
| ~ spl13_141 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f2064,plain,
( spl13_235
| ~ spl13_78
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1120,f1094,f736,f2062]) ).
fof(f2062,plain,
( spl13_235
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_235])]) ).
fof(f736,plain,
( spl13_78
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_78
| ~ spl13_130 ),
inference(superposition,[],[f737,f1095]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl13_78 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f2060,plain,
( spl13_234
| ~ spl13_74
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1118,f1094,f720,f2058]) ).
fof(f2058,plain,
( spl13_234
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_234])]) ).
fof(f720,plain,
( spl13_74
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f1118,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_74
| ~ spl13_130 ),
inference(superposition,[],[f721,f1095]) ).
fof(f721,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl13_74 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2056,plain,
( spl13_233
| ~ spl13_76
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1077,f1042,f728,f2054]) ).
fof(f2054,plain,
( spl13_233
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_233])]) ).
fof(f1077,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) )
| ~ spl13_76
| ~ spl13_125 ),
inference(resolution,[],[f1043,f729]) ).
fof(f2052,plain,
( spl13_232
| ~ spl13_114
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1067,f1026,f944,f2050]) ).
fof(f2050,plain,
( spl13_232
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_232])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_114
| ~ spl13_121 ),
inference(superposition,[],[f945,f1027]) ).
fof(f2048,plain,
( spl13_231
| ~ spl13_90
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1066,f1026,f794,f2046]) ).
fof(f2046,plain,
( spl13_231
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_231])]) ).
fof(f1066,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl13_90
| ~ spl13_121 ),
inference(superposition,[],[f795,f1027]) ).
fof(f2044,plain,
( spl13_230
| ~ spl13_111
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1059,f1022,f931,f2042]) ).
fof(f2042,plain,
( spl13_230
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_230])]) ).
fof(f931,plain,
( spl13_111
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f1059,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_111
| ~ spl13_120 ),
inference(superposition,[],[f932,f1023]) ).
fof(f932,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl13_111 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f2040,plain,
( spl13_229
| ~ spl13_88
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1058,f1022,f786,f2038]) ).
fof(f2038,plain,
( spl13_229
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_229])]) ).
fof(f786,plain,
( spl13_88
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f1058,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl13_88
| ~ spl13_120 ),
inference(superposition,[],[f787,f1023]) ).
fof(f787,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f2036,plain,
( spl13_228
| ~ spl13_91
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1004,f982,f798,f2034]) ).
fof(f2034,plain,
( spl13_228
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_228])]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl13_91
| ~ spl13_118 ),
inference(resolution,[],[f983,f799]) ).
fof(f2032,plain,
( spl13_227
| ~ spl13_54
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f998,f978,f635,f2030]) ).
fof(f2030,plain,
( spl13_227
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_227])]) ).
fof(f998,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl13_54
| ~ spl13_117 ),
inference(resolution,[],[f979,f636]) ).
fof(f2011,plain,
( spl13_226
| ~ spl13_76
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1002,f982,f728,f2009]) ).
fof(f2009,plain,
( spl13_226
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_226])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl13_76
| ~ spl13_118 ),
inference(resolution,[],[f983,f729]) ).
fof(f1998,plain,
( ~ spl13_225
| spl13_44
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1293,f1233,f570,f1995]) ).
fof(f1995,plain,
( spl13_225
<=> elem(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_225])]) ).
fof(f570,plain,
( spl13_44
<=> elem(m_Down(sK4),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1293,plain,
( ~ elem(m_Down(sK4),sK2)
| spl13_44
| ~ spl13_144 ),
inference(resolution,[],[f1234,f572]) ).
fof(f572,plain,
( ~ elem(m_Down(sK4),queue(host(sK3)))
| spl13_44 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1964,plain,
( spl13_224
| ~ spl13_75
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1119,f1094,f724,f1962]) ).
fof(f1962,plain,
( spl13_224
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_224])]) ).
fof(f724,plain,
( spl13_75
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f1119,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_75
| ~ spl13_130 ),
inference(superposition,[],[f725,f1095]) ).
fof(f725,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl13_75 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1960,plain,
( spl13_223
| ~ spl13_78
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1065,f1026,f736,f1958]) ).
fof(f1958,plain,
( spl13_223
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_223])]) ).
fof(f1065,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl13_78
| ~ spl13_121 ),
inference(superposition,[],[f737,f1027]) ).
fof(f1956,plain,
( spl13_222
| ~ spl13_77
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1057,f1022,f732,f1954]) ).
fof(f1954,plain,
( spl13_222
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_222])]) ).
fof(f732,plain,
( spl13_77
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f1057,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_77
| ~ spl13_120 ),
inference(superposition,[],[f733,f1023]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl13_77 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f1952,plain,
( spl13_221
| ~ spl13_54
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1008,f982,f635,f1950]) ).
fof(f1950,plain,
( spl13_221
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_221])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl13_54
| ~ spl13_118 ),
inference(resolution,[],[f983,f636]) ).
fof(f1944,plain,
( ~ spl13_220
| spl13_40
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1292,f1233,f541,f1941]) ).
fof(f1941,plain,
( spl13_220
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_220])]) ).
fof(f541,plain,
( spl13_40
<=> elem(m_Down(sK8),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1292,plain,
( ~ elem(m_Down(sK8),sK2)
| spl13_40
| ~ spl13_144 ),
inference(resolution,[],[f1234,f543]) ).
fof(f543,plain,
( ~ elem(m_Down(sK8),queue(host(sK3)))
| spl13_40 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1939,plain,
( ~ spl13_218
| spl13_219
| ~ spl13_46
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f997,f978,f594,f1936,f1932]) ).
fof(f1932,plain,
( spl13_218
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_218])]) ).
fof(f1936,plain,
( spl13_219
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_219])]) ).
fof(f594,plain,
( spl13_46
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f997,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl13_46
| ~ spl13_117 ),
inference(resolution,[],[f979,f596]) ).
fof(f596,plain,
( leq(s(zero),nbr_proc)
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1930,plain,
( spl13_217
| ~ spl13_48
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f995,f978,f603,f1928]) ).
fof(f1928,plain,
( spl13_217
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_217])]) ).
fof(f603,plain,
( spl13_48
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f995,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_48
| ~ spl13_117 ),
inference(resolution,[],[f979,f604]) ).
fof(f604,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f1926,plain,
( spl13_216
| ~ spl13_76
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f958,f915,f728,f1924]) ).
fof(f1924,plain,
( spl13_216
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_216])]) ).
fof(f915,plain,
( spl13_107
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f958,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl13_76
| ~ spl13_107 ),
inference(resolution,[],[f916,f729]) ).
fof(f916,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl13_107 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1875,plain,
( spl13_215
| ~ spl13_70
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1117,f1094,f699,f1873]) ).
fof(f1873,plain,
( spl13_215
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_215])]) ).
fof(f699,plain,
( spl13_70
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_70
| ~ spl13_130 ),
inference(superposition,[],[f700,f1095]) ).
fof(f700,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1871,plain,
( spl13_214
| ~ spl13_70
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1064,f1026,f699,f1869]) ).
fof(f1869,plain,
( spl13_214
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_214])]) ).
fof(f1064,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_70
| ~ spl13_121 ),
inference(superposition,[],[f700,f1027]) ).
fof(f1867,plain,
( spl13_213
| ~ spl13_69
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1056,f1022,f695,f1865]) ).
fof(f1865,plain,
( spl13_213
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_213])]) ).
fof(f1056,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_69
| ~ spl13_120 ),
inference(superposition,[],[f696,f1023]) ).
fof(f1863,plain,
( spl13_212
| ~ spl13_46
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1007,f982,f594,f1861]) ).
fof(f1861,plain,
( spl13_212
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_212])]) ).
fof(f1007,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl13_46
| ~ spl13_118 ),
inference(resolution,[],[f983,f596]) ).
fof(f1859,plain,
( spl13_211
| ~ spl13_48
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1005,f982,f603,f1857]) ).
fof(f1857,plain,
( spl13_211
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_211])]) ).
fof(f1005,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl13_48
| ~ spl13_118 ),
inference(resolution,[],[f983,f604]) ).
fof(f1855,plain,
( spl13_210
| ~ spl13_90
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f964,f927,f794,f1853]) ).
fof(f1853,plain,
( spl13_210
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_210])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl13_90
| ~ spl13_110 ),
inference(resolution,[],[f928,f795]) ).
fof(f1851,plain,
( spl13_209
| ~ spl13_91
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f956,f915,f798,f1849]) ).
fof(f1849,plain,
( spl13_209
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_209])]) ).
fof(f956,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl13_91
| ~ spl13_107 ),
inference(resolution,[],[f916,f799]) ).
fof(f1811,plain,
( spl13_208
| ~ spl13_46
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1390,f1382,f594,f1808]) ).
fof(f1808,plain,
( spl13_208
<=> leq(zero,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_208])]) ).
fof(f1382,plain,
( spl13_160
<=> ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).
fof(f1390,plain,
( leq(zero,host(sK6))
| ~ spl13_46
| ~ spl13_160 ),
inference(resolution,[],[f1383,f596]) ).
fof(f1383,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK6)) )
| ~ spl13_160 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1736,plain,
( ~ spl13_3
| ~ spl13_10
| ~ spl13_15
| ~ spl13_138 ),
inference(avatar_split_clause,[],[f1735,f1166,f410,f383,f345]) ).
fof(f345,plain,
( spl13_3
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f383,plain,
( spl13_10
<=> norm = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f410,plain,
( spl13_15
<=> host(sK5) = index(ldr,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f1166,plain,
( spl13_138
<=> ! [X7] :
( norm != index(status,host(X7))
| ~ setIn(X7,alive)
| host(X7) != index(ldr,host(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).
fof(f1735,plain,
( ~ setIn(sK5,alive)
| ~ spl13_10
| ~ spl13_15
| ~ spl13_138 ),
inference(trivial_inequality_removal,[],[f1734]) ).
fof(f1734,plain,
( norm != norm
| ~ setIn(sK5,alive)
| ~ spl13_10
| ~ spl13_15
| ~ spl13_138 ),
inference(forward_demodulation,[],[f1733,f385]) ).
fof(f385,plain,
( norm = index(status,host(sK5))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1733,plain,
( ~ setIn(sK5,alive)
| norm != index(status,host(sK5))
| ~ spl13_15
| ~ spl13_138 ),
inference(trivial_inequality_removal,[],[f1732]) ).
fof(f1732,plain,
( host(sK5) != host(sK5)
| ~ setIn(sK5,alive)
| norm != index(status,host(sK5))
| ~ spl13_15
| ~ spl13_138 ),
inference(superposition,[],[f1167,f412]) ).
fof(f412,plain,
( host(sK5) = index(ldr,host(sK5))
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f1167,plain,
( ! [X7] :
( host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| norm != index(status,host(X7)) )
| ~ spl13_138 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1728,plain,
( ~ spl13_37
| spl13_206 ),
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1725,plain,
( $false
| ~ spl13_37
| spl13_206 ),
inference(resolution,[],[f1720,f530]) ).
fof(f530,plain,
( ! [X0] : leq(X0,X0)
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl13_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f1720,plain,
( ~ leq(nbr_proc,nbr_proc)
| spl13_206 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl13_206
<=> leq(nbr_proc,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_206])]) ).
fof(f1724,plain,
( ~ spl13_1
| spl13_205
| ~ spl13_206
| spl13_207
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1424,f1241,f1163,f438,f415,f393,f366,f1722,f1718,f1715,f335]) ).
fof(f335,plain,
( spl13_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f366,plain,
( spl13_7
<=> host(sK4) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f393,plain,
( spl13_12
<=> elec_2 = index(status,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f415,plain,
( spl13_16
<=> host(sK6) = index(pendack,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1163,plain,
( spl13_137
<=> ! [X9,X8,X10] :
( host(X9) != s(index(pendack,host(X10)))
| ~ setIn(X10,alive)
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| elec_2 != index(status,host(X10))
| host(X8) != index(pendack,host(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).
fof(f1424,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ leq(nbr_proc,nbr_proc)
| host(X1) != host(sK6)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3))) )
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137
| ~ spl13_146 ),
inference(forward_demodulation,[],[f1423,f1243]) ).
fof(f1423,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,nbr_proc)
| host(X1) != host(sK6)
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3))) )
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137
| ~ spl13_146 ),
inference(forward_demodulation,[],[f1185,f1243]) ).
fof(f1185,plain,
( ! [X0,X1] :
( host(X1) != host(sK6)
| ~ leq(nbr_proc,host(sK7))
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3))) )
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1184,f417]) ).
fof(f417,plain,
( host(sK6) = index(pendack,host(sK3))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1184,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK7))
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(trivial_inequality_removal,[],[f1183]) ).
fof(f1183,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ leq(nbr_proc,host(sK7))
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_12
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1182,f395]) ).
fof(f395,plain,
( elec_2 = index(status,host(sK3))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f1182,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK7))
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| elec_2 != index(status,host(sK3))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1181,f440]) ).
fof(f1181,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,s(host(sK6)))
| host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| elec_2 != index(status,host(sK3))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1180,f417]) ).
fof(f1180,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ leq(nbr_proc,s(index(pendack,host(sK3))))
| elec_2 != index(status,host(sK3))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_16
| ~ spl13_20
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1179,f440]) ).
fof(f1179,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK6))
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ leq(nbr_proc,s(index(pendack,host(sK3))))
| elec_2 != index(status,host(sK3))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_16
| ~ spl13_137 ),
inference(forward_demodulation,[],[f1170,f417]) ).
fof(f1170,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK3)))
| ~ setIn(sK4,alive)
| ~ elem(m_Ack(sK4,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ leq(nbr_proc,s(index(pendack,host(sK3))))
| elec_2 != index(status,host(sK3))
| host(X1) != index(pendack,host(sK3)) )
| ~ spl13_7
| ~ spl13_137 ),
inference(superposition,[],[f1164,f368]) ).
fof(f368,plain,
( host(sK4) = host(sK3)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f1164,plain,
( ! [X10,X8,X9] :
( host(X9) != s(index(pendack,host(X10)))
| ~ setIn(X10,alive)
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| elec_2 != index(status,host(X10))
| host(X8) != index(pendack,host(X10)) )
| ~ spl13_137 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1699,plain,
( spl13_204
| ~ spl13_3
| ~ spl13_10
| ~ spl13_15
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1020,f1012,f410,f383,f345,f1697]) ).
fof(f1697,plain,
( spl13_204
<=> ! [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,[spl13_204])]) ).
fof(f1012,plain,
( spl13_119
<=> ! [X18,X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f1020,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)) )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_119 ),
inference(trivial_inequality_removal,[],[f1019]) ).
fof(f1019,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)) )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_119 ),
inference(forward_demodulation,[],[f1018,f385]) ).
fof(f1018,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)) )
| ~ spl13_15
| ~ spl13_119 ),
inference(trivial_inequality_removal,[],[f1017]) ).
fof(f1017,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)) )
| ~ spl13_15
| ~ spl13_119 ),
inference(superposition,[],[f1013,f412]) ).
fof(f1013,plain,
( ! [X18,X16,X17] :
( host(X16) != index(ldr,host(X16))
| norm != index(status,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
| ~ spl13_119 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1691,plain,
( ~ spl13_203
| ~ spl13_27
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1294,f1233,f478,f1688]) ).
fof(f1688,plain,
( spl13_203
<=> elem(m_Down(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_203])]) ).
fof(f1294,plain,
( ~ elem(m_Down(sK3),sK2)
| ~ spl13_27
| ~ spl13_144 ),
inference(resolution,[],[f1234,f479]) ).
fof(f1686,plain,
( spl13_202
| ~ spl13_86
| ~ spl13_90 ),
inference(avatar_split_clause,[],[f810,f794,f778,f1684]) ).
fof(f1684,plain,
( spl13_202
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).
fof(f810,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl13_86
| ~ spl13_90 ),
inference(resolution,[],[f795,f779]) ).
fof(f1682,plain,
( spl13_201
| ~ spl13_74
| ~ spl13_85 ),
inference(avatar_split_clause,[],[f803,f774,f720,f1680]) ).
fof(f1680,plain,
( spl13_201
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).
fof(f774,plain,
( spl13_85
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f803,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl13_74
| ~ spl13_85 ),
inference(superposition,[],[f721,f775]) ).
fof(f775,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl13_85 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f1678,plain,
( spl13_200
| ~ spl13_75
| ~ spl13_85 ),
inference(avatar_split_clause,[],[f802,f774,f724,f1676]) ).
fof(f1676,plain,
( spl13_200
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).
fof(f802,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl13_75
| ~ spl13_85 ),
inference(superposition,[],[f725,f775]) ).
fof(f1668,plain,
( ~ spl13_2
| spl13_199
| ~ spl13_5
| ~ spl13_12
| ~ spl13_16
| ~ spl13_96 ),
inference(avatar_split_clause,[],[f880,f859,f415,f393,f355,f1666,f340]) ).
fof(f340,plain,
( spl13_2
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f1666,plain,
( spl13_199
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).
fof(f355,plain,
( spl13_5
<=> host(sK3) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f859,plain,
( spl13_96
<=> ! [X20,X19] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f880,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_16
| ~ spl13_96 ),
inference(forward_demodulation,[],[f879,f417]) ).
fof(f879,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK3)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_96 ),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f878,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK3)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_96 ),
inference(forward_demodulation,[],[f873,f395]) ).
fof(f873,plain,
( ! [X0] :
( elec_2 != index(status,host(sK3))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK3)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_96 ),
inference(superposition,[],[f860,f357]) ).
fof(f357,plain,
( host(sK3) = host(sK8)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f860,plain,
( ! [X19,X20] :
( elec_2 != index(status,host(X20))
| ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
| ~ spl13_96 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1654,plain,
( ~ spl13_2
| spl13_198
| ~ spl13_5
| ~ spl13_12
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f855,f828,f393,f355,f1652,f340]) ).
fof(f1652,plain,
( spl13_198
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK3)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).
fof(f828,plain,
( spl13_95
<=> ! [X22,X21,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f855,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK3)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_95 ),
inference(trivial_inequality_removal,[],[f854]) ).
fof(f854,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK3)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_95 ),
inference(forward_demodulation,[],[f849,f395]) ).
fof(f849,plain,
( ! [X0,X1] :
( elec_2 != index(status,host(sK3))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK3)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_95 ),
inference(superposition,[],[f829,f357]) ).
fof(f829,plain,
( ! [X21,X22,X23] :
( elec_2 != index(status,host(X23))
| ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1644,plain,
( ~ spl13_2
| spl13_197
| ~ spl13_5
| ~ spl13_12
| ~ spl13_16
| ~ spl13_92 ),
inference(avatar_split_clause,[],[f838,f815,f415,f393,f355,f1642,f340]) ).
fof(f1642,plain,
( spl13_197
<=> ! [X0] :
( leq(host(sK6),host(X0))
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).
fof(f815,plain,
( spl13_92
<=> ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f838,plain,
( ! [X0] :
( leq(host(sK6),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_16
| ~ spl13_92 ),
inference(forward_demodulation,[],[f837,f417]) ).
fof(f837,plain,
( ! [X0] :
( leq(index(pendack,host(sK3)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_92 ),
inference(trivial_inequality_removal,[],[f836]) ).
fof(f836,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK3)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_12
| ~ spl13_92 ),
inference(forward_demodulation,[],[f831,f395]) ).
fof(f831,plain,
( ! [X0] :
( elec_2 != index(status,host(sK3))
| leq(index(pendack,host(sK3)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK3)) )
| ~ spl13_5
| ~ spl13_92 ),
inference(superposition,[],[f816,f357]) ).
fof(f816,plain,
( ! [X28,X27] :
( elec_2 != index(status,host(X28))
| leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
| ~ spl13_92 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1627,plain,
( spl13_196
| ~ spl13_47
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f812,f798,f599,f1625]) ).
fof(f812,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_47
| ~ spl13_91 ),
inference(resolution,[],[f799,f600]) ).
fof(f1610,plain,
( spl13_195
| ~ spl13_7
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1197,f1191,f366,f1608]) ).
fof(f1608,plain,
( spl13_195
<=> ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).
fof(f1191,plain,
( spl13_139
<=> ! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).
fof(f1197,plain,
( ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl13_7
| ~ spl13_139 ),
inference(superposition,[],[f1192,f368]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl13_139 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1604,plain,
( spl13_194
| ~ spl13_5
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1196,f1191,f355,f1602]) ).
fof(f1602,plain,
( spl13_194
<=> ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).
fof(f1196,plain,
( ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) )
| ~ spl13_5
| ~ spl13_139 ),
inference(superposition,[],[f1192,f357]) ).
fof(f1600,plain,
( spl13_193
| ~ spl13_7
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1195,f1191,f366,f1598]) ).
fof(f1598,plain,
( spl13_193
<=> ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).
fof(f1195,plain,
( ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_7
| ~ spl13_139 ),
inference(superposition,[],[f1192,f368]) ).
fof(f1594,plain,
( spl13_192
| ~ spl13_5
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1194,f1191,f355,f1592]) ).
fof(f1592,plain,
( spl13_192
<=> ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).
fof(f1194,plain,
( ! [X0,X1] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_5
| ~ spl13_139 ),
inference(superposition,[],[f1192,f357]) ).
fof(f1587,plain,
( spl13_191
| ~ spl13_3
| ~ spl13_10
| ~ spl13_15
| ~ spl13_94 ),
inference(avatar_split_clause,[],[f848,f824,f410,f383,f345,f1585]) ).
fof(f824,plain,
( spl13_94
<=> ! [X25,X24,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_94 ),
inference(trivial_inequality_removal,[],[f847]) ).
fof(f847,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_94 ),
inference(forward_demodulation,[],[f846,f385]) ).
fof(f846,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl13_15
| ~ spl13_94 ),
inference(trivial_inequality_removal,[],[f845]) ).
fof(f845,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl13_15
| ~ spl13_94 ),
inference(superposition,[],[f825,f412]) ).
fof(f825,plain,
( ! [X26,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
| ~ spl13_94 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1574,plain,
( spl13_190
| ~ spl13_47
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f761,f728,f599,f1572]) ).
fof(f1572,plain,
( spl13_190
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).
fof(f761,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_47
| ~ spl13_76 ),
inference(resolution,[],[f729,f600]) ).
fof(f1569,plain,
( spl13_189
| ~ spl13_161
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1565,f1562,f1386,f1567]) ).
fof(f1567,plain,
( spl13_189
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| leq(host(X0),host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).
fof(f1386,plain,
( spl13_161
<=> sK4 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).
fof(f1562,plain,
( spl13_188
<=> ! [X0] :
( leq(host(X0),host(sK6))
| ~ elem(m_Ack(sK8,X0),queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).
fof(f1565,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| leq(host(X0),host(sK6)) )
| ~ spl13_161
| ~ spl13_188 ),
inference(forward_demodulation,[],[f1563,f1388]) ).
fof(f1388,plain,
( sK4 = sK8
| ~ spl13_161 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1563,plain,
( ! [X0] :
( leq(host(X0),host(sK6))
| ~ elem(m_Ack(sK8,X0),queue(host(sK3))) )
| ~ spl13_188 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1564,plain,
( ~ spl13_2
| spl13_188
| ~ spl13_5
| ~ spl13_16
| ~ spl13_51 ),
inference(avatar_split_clause,[],[f624,f619,f415,f355,f1562,f340]) ).
fof(f619,plain,
( spl13_51
<=> ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f624,plain,
( ! [X0] :
( leq(host(X0),host(sK6))
| ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| ~ setIn(sK8,alive) )
| ~ spl13_5
| ~ spl13_16
| ~ spl13_51 ),
inference(forward_demodulation,[],[f622,f417]) ).
fof(f622,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| leq(host(X0),index(pendack,host(sK3)))
| ~ setIn(sK8,alive) )
| ~ spl13_5
| ~ spl13_51 ),
inference(superposition,[],[f620,f357]) ).
fof(f620,plain,
( ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| leq(host(X32),index(pendack,host(X33)))
| ~ setIn(X33,alive) )
| ~ spl13_51 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f1556,plain,
( spl13_187
| ~ spl13_161
| ~ spl13_186 ),
inference(avatar_split_clause,[],[f1552,f1549,f1386,f1554]) ).
fof(f1554,plain,
( spl13_187
<=> ! [X0] :
( sK4 = X0
| host(X0) != host(sK3)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).
fof(f1549,plain,
( spl13_186
<=> ! [X0] :
( host(X0) != host(sK3)
| sK8 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).
fof(f1552,plain,
( ! [X0] :
( sK4 = X0
| host(X0) != host(sK3)
| ~ setIn(X0,alive) )
| ~ spl13_161
| ~ spl13_186 ),
inference(forward_demodulation,[],[f1550,f1388]) ).
fof(f1550,plain,
( ! [X0] :
( host(X0) != host(sK3)
| sK8 = X0
| ~ setIn(X0,alive) )
| ~ spl13_186 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1551,plain,
( ~ spl13_2
| spl13_186
| ~ spl13_5
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f549,f546,f355,f1549,f340]) ).
fof(f546,plain,
( spl13_41
<=> ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f549,plain,
( ! [X0] :
( host(X0) != host(sK3)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| sK8 = X0 )
| ~ spl13_5
| ~ spl13_41 ),
inference(superposition,[],[f547,f357]) ).
fof(f547,plain,
( ! [X34,X35] :
( host(X34) != host(X35)
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| X34 = X35 )
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f1547,plain,
( spl13_185
| ~ spl13_35
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f963,f923,f519,f1545]) ).
fof(f1545,plain,
( spl13_185
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).
fof(f519,plain,
( spl13_35
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f963,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl13_35
| ~ spl13_109 ),
inference(resolution,[],[f924,f520]) ).
fof(f520,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1538,plain,
( spl13_184
| ~ spl13_49
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f808,f786,f607,f1536]) ).
fof(f1536,plain,
( spl13_184
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).
fof(f607,plain,
( spl13_49
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f808,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl13_49
| ~ spl13_88 ),
inference(resolution,[],[f787,f608]) ).
fof(f608,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1520,plain,
( spl13_183
| ~ spl13_21
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1130,f1098,f443,f1518]) ).
fof(f1518,plain,
( spl13_183
<=> ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_NormQ(sK3) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).
fof(f443,plain,
( spl13_21
<=> cons(m_NormQ(sK3),sK2) = queue(host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f1130,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_NormQ(sK3) = X0
| elem(X0,sK2) )
| ~ spl13_21
| ~ spl13_131 ),
inference(superposition,[],[f1099,f445]) ).
fof(f445,plain,
( cons(m_NormQ(sK3),sK2) = queue(host(sK3))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1516,plain,
( spl13_182
| ~ spl13_21
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1114,f1094,f443,f1514]) ).
fof(f1114,plain,
( ! [X0] : cons(m_NormQ(sK3),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl13_21
| ~ spl13_130 ),
inference(superposition,[],[f1095,f445]) ).
fof(f1501,plain,
( spl13_181
| ~ spl13_146
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1497,f1493,f1241,f1499]) ).
fof(f1499,plain,
( spl13_181
<=> ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).
fof(f1493,plain,
( spl13_180
<=> ! [X0] :
( ~ leq(X0,host(sK7))
| host(sK7) = X0
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).
fof(f1497,plain,
( ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK6)) )
| ~ spl13_146
| ~ spl13_180 ),
inference(forward_demodulation,[],[f1496,f1243]) ).
fof(f1496,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK7) = X0
| leq(X0,host(sK6)) )
| ~ spl13_146
| ~ spl13_180 ),
inference(forward_demodulation,[],[f1494,f1243]) ).
fof(f1494,plain,
( ! [X0] :
( ~ leq(X0,host(sK7))
| host(sK7) = X0
| leq(X0,host(sK6)) )
| ~ spl13_180 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1495,plain,
( spl13_180
| ~ spl13_20
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1113,f1090,f438,f1493]) ).
fof(f1113,plain,
( ! [X0] :
( ~ leq(X0,host(sK7))
| host(sK7) = X0
| leq(X0,host(sK6)) )
| ~ spl13_20
| ~ spl13_129 ),
inference(superposition,[],[f1091,f440]) ).
fof(f1485,plain,
( spl13_179
| ~ spl13_161
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1479,f1469,f1386,f1482]) ).
fof(f1469,plain,
( spl13_177
<=> m_NotNorm(sK3) = m_Ack(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).
fof(f1479,plain,
( m_NotNorm(sK3) = m_Ack(sK4,sK6)
| ~ spl13_161
| ~ spl13_177 ),
inference(forward_demodulation,[],[f1471,f1388]) ).
fof(f1471,plain,
( m_NotNorm(sK3) = m_Ack(sK8,sK6)
| ~ spl13_177 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1478,plain,
( spl13_178
| ~ spl13_161
| ~ spl13_176 ),
inference(avatar_split_clause,[],[f1473,f1465,f1386,f1475]) ).
fof(f1465,plain,
( spl13_176
<=> elem(m_Ack(sK8,sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).
fof(f1473,plain,
( elem(m_Ack(sK4,sK6),sK2)
| ~ spl13_161
| ~ spl13_176 ),
inference(forward_demodulation,[],[f1467,f1388]) ).
fof(f1467,plain,
( elem(m_Ack(sK8,sK6),sK2)
| ~ spl13_176 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1472,plain,
( spl13_176
| spl13_177
| ~ spl13_18
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1133,f1102,f426,f1469,f1465]) ).
fof(f426,plain,
( spl13_18
<=> elem(m_Ack(sK8,sK6),snoc(sK2,m_NotNorm(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1133,plain,
( m_NotNorm(sK3) = m_Ack(sK8,sK6)
| elem(m_Ack(sK8,sK6),sK2)
| ~ spl13_18
| ~ spl13_132 ),
inference(resolution,[],[f1103,f428]) ).
fof(f428,plain,
( elem(m_Ack(sK8,sK6),snoc(sK2,m_NotNorm(sK3)))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f1463,plain,
( spl13_175
| ~ spl13_7
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f467,f457,f366,f1461]) ).
fof(f1461,plain,
( spl13_175
<=> ! [X0] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).
fof(f467,plain,
( ! [X0] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl13_7
| ~ spl13_24 ),
inference(superposition,[],[f458,f368]) ).
fof(f1458,plain,
( spl13_174
| ~ spl13_5
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f466,f457,f355,f1456]) ).
fof(f1456,plain,
( spl13_174
<=> ! [X0] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK8),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).
fof(f466,plain,
( ! [X0] :
( host(X0) != host(sK3)
| ~ elem(m_Down(sK8),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_24 ),
inference(superposition,[],[f458,f357]) ).
fof(f1453,plain,
( ~ spl13_172
| spl13_173
| ~ spl13_146
| ~ spl13_171 ),
inference(avatar_split_clause,[],[f1445,f1441,f1241,f1451,f1447]) ).
fof(f1447,plain,
( spl13_172
<=> nbr_proc = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).
fof(f1441,plain,
( spl13_171
<=> ! [X0] :
( host(X0) != host(sK7)
| host(X0) != host(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).
fof(f1445,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != host(sK6) )
| ~ spl13_146
| ~ spl13_171 ),
inference(inner_rewriting,[],[f1444]) ).
fof(f1444,plain,
( ! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK6) )
| ~ spl13_146
| ~ spl13_171 ),
inference(forward_demodulation,[],[f1442,f1243]) ).
fof(f1442,plain,
( ! [X0] :
( host(X0) != host(sK7)
| host(X0) != host(sK6) )
| ~ spl13_171 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1443,plain,
( spl13_171
| ~ spl13_20
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1107,f1084,f438,f1441]) ).
fof(f1107,plain,
( ! [X0] :
( host(X0) != host(sK7)
| host(X0) != host(sK6) )
| ~ spl13_20
| ~ spl13_128 ),
inference(superposition,[],[f1085,f440]) ).
fof(f1439,plain,
( ~ spl13_170
| spl13_148
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1324,f1318,f1303,f1436]) ).
fof(f1436,plain,
( spl13_170
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).
fof(f1303,plain,
( spl13_148
<=> sK3 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).
fof(f1318,plain,
( spl13_151
<=> sK4 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).
fof(f1324,plain,
( sK3 != sK4
| spl13_148
| ~ spl13_151 ),
inference(superposition,[],[f1304,f1320]) ).
fof(f1320,plain,
( sK4 = index(elid,host(sK3))
| ~ spl13_151 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1304,plain,
( sK3 != index(elid,host(sK3))
| spl13_148 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1434,plain,
( spl13_169
| ~ spl13_7
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1072,f1034,f366,f1432]) ).
fof(f1072,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| setIn(X0,pids) )
| ~ spl13_7
| ~ spl13_123 ),
inference(superposition,[],[f1035,f368]) ).
fof(f1429,plain,
( spl13_168
| ~ spl13_5
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1071,f1034,f355,f1427]) ).
fof(f1427,plain,
( spl13_168
<=> ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).
fof(f1071,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| setIn(X0,pids) )
| ~ spl13_5
| ~ spl13_123 ),
inference(superposition,[],[f1035,f357]) ).
fof(f1422,plain,
( spl13_167
| ~ spl13_161
| ~ spl13_165 ),
inference(avatar_split_clause,[],[f1417,f1408,f1386,f1420]) ).
fof(f1420,plain,
( spl13_167
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).
fof(f1408,plain,
( spl13_165
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).
fof(f1417,plain,
( ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK3)))
| ~ spl13_161
| ~ spl13_165 ),
inference(forward_demodulation,[],[f1409,f1388]) ).
fof(f1409,plain,
( ! [X0] : ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| ~ spl13_165 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1416,plain,
( spl13_166
| ~ spl13_161
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1411,f1404,f1386,f1413]) ).
fof(f1413,plain,
( spl13_166
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).
fof(f1404,plain,
( spl13_164
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).
fof(f1411,plain,
( setIn(sK4,pids)
| ~ spl13_161
| ~ spl13_164 ),
inference(forward_demodulation,[],[f1406,f1388]) ).
fof(f1406,plain,
( setIn(sK8,pids)
| ~ spl13_164 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1410,plain,
( spl13_164
| spl13_165
| ~ spl13_5
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1069,f1030,f355,f1408,f1404]) ).
fof(f1069,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK3)))
| setIn(sK8,pids) )
| ~ spl13_5
| ~ spl13_122 ),
inference(superposition,[],[f1031,f357]) ).
fof(f1402,plain,
( spl13_162
| spl13_163
| ~ spl13_13
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1132,f1102,f399,f1399,f1395]) ).
fof(f399,plain,
( spl13_13
<=> elem(m_Down(sK7),snoc(sK2,m_NotNorm(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1132,plain,
( m_NotNorm(sK3) = m_Down(sK7)
| elem(m_Down(sK7),sK2)
| ~ spl13_13
| ~ spl13_132 ),
inference(resolution,[],[f1103,f401]) ).
fof(f401,plain,
( elem(m_Down(sK7),snoc(sK2,m_NotNorm(sK3)))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1389,plain,
( spl13_161
| ~ spl13_150
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1322,f1318,f1312,f1386]) ).
fof(f1312,plain,
( spl13_150
<=> sK8 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).
fof(f1322,plain,
( sK4 = sK8
| ~ spl13_150
| ~ spl13_151 ),
inference(superposition,[],[f1320,f1314]) ).
fof(f1314,plain,
( sK8 = index(elid,host(sK3))
| ~ spl13_150 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1384,plain,
( spl13_160
| ~ spl13_146
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1380,f1377,f1241,f1382]) ).
fof(f1377,plain,
( spl13_159
<=> ! [X0] :
( ~ leq(s(X0),host(sK7))
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).
fof(f1380,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK6)) )
| ~ spl13_146
| ~ spl13_159 ),
inference(forward_demodulation,[],[f1378,f1243]) ).
fof(f1378,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK7))
| leq(X0,host(sK6)) )
| ~ spl13_159 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1379,plain,
( spl13_159
| ~ spl13_20
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f961,f915,f438,f1377]) ).
fof(f961,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK7))
| leq(X0,host(sK6)) )
| ~ spl13_20
| ~ spl13_107 ),
inference(superposition,[],[f916,f440]) ).
fof(f1371,plain,
( spl13_158
| ~ spl13_146
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1367,f1364,f1241,f1369]) ).
fof(f1364,plain,
( spl13_157
<=> ! [X0] :
( ~ leq(host(sK7),s(X0))
| leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).
fof(f1367,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK6),X0) )
| ~ spl13_146
| ~ spl13_157 ),
inference(forward_demodulation,[],[f1365,f1243]) ).
fof(f1365,plain,
( ! [X0] :
( ~ leq(host(sK7),s(X0))
| leq(host(sK6),X0) )
| ~ spl13_157 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1366,plain,
( spl13_157
| ~ spl13_20
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f960,f915,f438,f1364]) ).
fof(f960,plain,
( ! [X0] :
( ~ leq(host(sK7),s(X0))
| leq(host(sK6),X0) )
| ~ spl13_20
| ~ spl13_107 ),
inference(superposition,[],[f916,f440]) ).
fof(f1357,plain,
( spl13_156
| ~ spl13_146
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f1353,f1350,f1241,f1355]) ).
fof(f1350,plain,
( spl13_155
<=> ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).
fof(f1353,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK6)) )
| ~ spl13_146
| ~ spl13_155 ),
inference(forward_demodulation,[],[f1351,f1243]) ).
fof(f1351,plain,
( ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,host(sK6)) )
| ~ spl13_155 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1352,plain,
( spl13_155
| ~ spl13_20
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f954,f911,f438,f1350]) ).
fof(f954,plain,
( ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,host(sK6)) )
| ~ spl13_20
| ~ spl13_106 ),
inference(superposition,[],[f912,f440]) ).
fof(f1338,plain,
( spl13_154
| ~ spl13_146
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1329,f1326,f1241,f1336]) ).
fof(f1326,plain,
( spl13_152
<=> ! [X0] :
( leq(host(sK7),s(X0))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).
fof(f1329,plain,
( ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl13_146
| ~ spl13_152 ),
inference(forward_demodulation,[],[f1327,f1243]) ).
fof(f1327,plain,
( ! [X0] :
( leq(host(sK7),s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl13_152 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1334,plain,
( ~ spl13_153
| spl13_148
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1316,f1312,f1303,f1331]) ).
fof(f1331,plain,
( spl13_153
<=> sK3 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).
fof(f1316,plain,
( sK3 != sK8
| spl13_148
| ~ spl13_150 ),
inference(superposition,[],[f1304,f1314]) ).
fof(f1328,plain,
( spl13_152
| ~ spl13_20
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f953,f911,f438,f1326]) ).
fof(f953,plain,
( ! [X0] :
( leq(host(sK7),s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl13_20
| ~ spl13_106 ),
inference(superposition,[],[f912,f440]) ).
fof(f1321,plain,
( spl13_151
| ~ spl13_1
| ~ spl13_7
| ~ spl13_12
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f582,f560,f393,f366,f335,f1318]) ).
fof(f560,plain,
( spl13_43
<=> ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f582,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK3))
| ~ spl13_7
| ~ spl13_12
| ~ spl13_43 ),
inference(trivial_inequality_removal,[],[f581]) ).
fof(f581,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK3))
| ~ spl13_7
| ~ spl13_12
| ~ spl13_43 ),
inference(forward_demodulation,[],[f575,f395]) ).
fof(f575,plain,
( elec_2 != index(status,host(sK3))
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK3))
| ~ spl13_7
| ~ spl13_43 ),
inference(superposition,[],[f561,f368]) ).
fof(f561,plain,
( ! [X29] :
( elec_2 != index(status,host(X29))
| ~ setIn(X29,alive)
| index(elid,host(X29)) = X29 )
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1315,plain,
( spl13_150
| ~ spl13_2
| ~ spl13_5
| ~ spl13_12
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f580,f560,f393,f355,f340,f1312]) ).
fof(f580,plain,
( ~ setIn(sK8,alive)
| sK8 = index(elid,host(sK3))
| ~ spl13_5
| ~ spl13_12
| ~ spl13_43 ),
inference(trivial_inequality_removal,[],[f579]) ).
fof(f579,plain,
( elec_2 != elec_2
| ~ setIn(sK8,alive)
| sK8 = index(elid,host(sK3))
| ~ spl13_5
| ~ spl13_12
| ~ spl13_43 ),
inference(forward_demodulation,[],[f574,f395]) ).
fof(f574,plain,
( elec_2 != index(status,host(sK3))
| ~ setIn(sK8,alive)
| sK8 = index(elid,host(sK3))
| ~ spl13_5
| ~ spl13_43 ),
inference(superposition,[],[f561,f357]) ).
fof(f1310,plain,
( spl13_148
| ~ spl13_149
| ~ spl13_12
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f578,f560,f393,f1307,f1303]) ).
fof(f1307,plain,
( spl13_149
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).
fof(f578,plain,
( ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK3))
| ~ spl13_12
| ~ spl13_43 ),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f577,plain,
( elec_2 != elec_2
| ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK3))
| ~ spl13_12
| ~ spl13_43 ),
inference(superposition,[],[f561,f395]) ).
fof(f1285,plain,
( ~ spl13_147
| spl13_50
| ~ spl13_146 ),
inference(avatar_split_clause,[],[f1251,f1241,f614,f1282]) ).
fof(f1282,plain,
( spl13_147
<=> leq(nbr_proc,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).
fof(f614,plain,
( spl13_50
<=> leq(host(sK7),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f1251,plain,
( ~ leq(nbr_proc,host(sK6))
| spl13_50
| ~ spl13_146 ),
inference(superposition,[],[f616,f1243]) ).
fof(f616,plain,
( ~ leq(host(sK7),host(sK6))
| spl13_50 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f1248,plain,
( ~ spl13_48
| spl13_145 ),
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1245,plain,
( $false
| ~ spl13_48
| spl13_145 ),
inference(resolution,[],[f1239,f604]) ).
fof(f1239,plain,
( ~ leq(host(sK7),nbr_proc)
| spl13_145 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1237,plain,
( spl13_145
<=> leq(host(sK7),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).
fof(f1244,plain,
( ~ spl13_145
| spl13_146
| ~ spl13_4
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1000,f978,f350,f1241,f1237]) ).
fof(f350,plain,
( spl13_4
<=> leq(nbr_proc,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f1000,plain,
( nbr_proc = host(sK7)
| ~ leq(host(sK7),nbr_proc)
| ~ spl13_4
| ~ spl13_117 ),
inference(resolution,[],[f979,f352]) ).
fof(f352,plain,
( leq(nbr_proc,host(sK7))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f1235,plain,
( spl13_144
| ~ spl13_21
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f967,f931,f443,f1233]) ).
fof(f967,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl13_21
| ~ spl13_111 ),
inference(superposition,[],[f932,f445]) ).
fof(f1231,plain,
( spl13_143
| ~ spl13_20
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f813,f798,f438,f1229]) ).
fof(f1229,plain,
( spl13_143
<=> ! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).
fof(f813,plain,
( ! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,host(sK6)) )
| ~ spl13_20
| ~ spl13_91 ),
inference(superposition,[],[f799,f440]) ).
fof(f1210,plain,
spl13_142,
inference(avatar_split_clause,[],[f283,f1208]) ).
fof(f283,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(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[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(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f1206,plain,
( spl13_141
| ~ spl13_4
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1010,f982,f350,f1204]) ).
fof(f1010,plain,
( ! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,nbr_proc) )
| ~ spl13_4
| ~ spl13_118 ),
inference(resolution,[],[f983,f352]) ).
fof(f1202,plain,
spl13_140,
inference(avatar_split_clause,[],[f274,f1200]) ).
fof(f274,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(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[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(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f1193,plain,
spl13_139,
inference(avatar_split_clause,[],[f306,f1191]) ).
fof(f306,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/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f1168,plain,
( spl13_137
| spl13_138 ),
inference(avatar_split_clause,[],[f199,f1166,f1163]) ).
fof(f199,plain,
! [X10,X8,X9,X7] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(sK7) = s(index(pendack,host(sK8)))
& index(pendack,host(sK8)) = host(sK6)
& elec_2 = index(status,host(sK8))
& leq(nbr_proc,s(index(pendack,host(sK8))))
& elem(m_Ack(sK8,sK6),snoc(sK2,m_NotNorm(sK3)))
& elem(m_Down(sK7),snoc(sK2,m_NotNorm(sK3)))
& setIn(sK8,alive)
& host(sK4) = host(sK8)
& host(sK3) = host(sK8)
& norm != index(status,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_NormQ(sK3),sK2)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ( host(X13) != sK9(X13,X14)
& ~ setIn(sK9(X13,X14),index(down,host(X14)))
& leq(s(zero),sK9(X13,X14))
& ~ leq(host(X14),sK9(X13,X14)) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f146,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Ack(X6,X4),snoc(X0,m_NotNorm(X1)))
& elem(m_Down(X5),snoc(X0,m_NotNorm(X1)))
& setIn(X6,alive)
& host(X2) = host(X6)
& host(X1) = host(X6) )
& norm != index(status,host(X2))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_NormQ(X1),X0)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) )
=> ( ? [X6,X5,X4,X3] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Ack(X6,X4),snoc(sK2,m_NotNorm(sK3)))
& elem(m_Down(X5),snoc(sK2,m_NotNorm(sK3)))
& setIn(X6,alive)
& host(X6) = host(sK4)
& host(X6) = host(sK3) )
& norm != index(status,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_NormQ(sK3),sK2)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X6,X5,X4,X3] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Ack(X6,X4),snoc(sK2,m_NotNorm(sK3)))
& elem(m_Down(X5),snoc(sK2,m_NotNorm(sK3)))
& setIn(X6,alive)
& host(X6) = host(sK4)
& host(X6) = host(sK3) )
=> ( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& host(sK7) = s(index(pendack,host(sK8)))
& index(pendack,host(sK8)) = host(sK6)
& elec_2 = index(status,host(sK8))
& leq(nbr_proc,s(index(pendack,host(sK8))))
& elem(m_Ack(sK8,sK6),snoc(sK2,m_NotNorm(sK3)))
& elem(m_Down(sK7),snoc(sK2,m_NotNorm(sK3)))
& setIn(sK8,alive)
& host(sK4) = host(sK8)
& host(sK3) = host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X13,X14] :
( ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) )
=> ( host(X13) != sK9(X13,X14)
& ~ setIn(sK9(X13,X14),index(down,host(X14)))
& leq(s(zero),sK9(X13,X14))
& ~ leq(host(X14),sK9(X13,X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Ack(X6,X4),snoc(X0,m_NotNorm(X1)))
& elem(m_Down(X5),snoc(X0,m_NotNorm(X1)))
& setIn(X6,alive)
& host(X2) = host(X6)
& host(X1) = host(X6) )
& norm != index(status,host(X2))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_NormQ(X1),X0)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2] :
( ? [X41,X42,X43,X44] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& setIn(X44,alive)
& host(X2) = host(X44)
& host(X1) = host(X44) )
& norm != index(status,host(X2))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_NormQ(X1),X0)
& ! [X3,X4,X5,X6] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X5) != s(index(pendack,host(X6)))
| host(X4) != index(pendack,host(X6))
| elec_2 != index(status,host(X6))
| ~ leq(nbr_proc,s(index(pendack,host(X6))))
| ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive) )
& ! [X7,X8,X9,X10] :
( ~ elem(m_Down(X8),queue(host(X7)))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X10))
| nbr_proc != host(X10)
| host(X10) != host(X8)
| ~ elem(m_Down(X9),queue(host(X10)))
| ? [X11] :
( host(X9) != X11
& ~ setIn(X11,index(down,host(X10)))
& leq(s(zero),X11)
& ~ leq(host(X10),X11) ) )
& ! [X12,X13,X14] :
( norm != index(status,host(X12))
| host(X12) != index(ldr,host(X12))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X14))
| ~ elem(m_Halt(X14),queue(host(X13)))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X12)) )
& ! [X15,X16] :
( ~ leq(index(pendack,host(X15)),index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| elec_2 != index(status,host(X15))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive)
| leq(host(X15),host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X17,X18),queue(host(X17)))
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X17))
| host(X19) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ elem(m_Ack(X27,X26),queue(host(X27)))
| elec_1 != index(status,host(X27))
| ~ setIn(X27,alive) )
& ! [X28,X29] :
( leq(host(X28),index(pendack,host(X29)))
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| host(X30) != host(X31)
| X30 = X31 )
& ! [X32,X33,X34] :
( ~ leq(host(X32),host(X34))
| ~ elem(m_Ack(X34,X32),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Halt(X36),queue(host(X35))) )
& ! [X37,X38] :
( host(X37) != host(X38)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Ldr(X40),queue(host(X39))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ? [X41,X42,X43,X44] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& setIn(X44,alive)
& host(X2) = host(X44)
& host(X1) = host(X44) )
& norm != index(status,host(X2))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_NormQ(X1),X0)
& ! [X3,X4,X5,X6] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X5) != s(index(pendack,host(X6)))
| host(X4) != index(pendack,host(X6))
| elec_2 != index(status,host(X6))
| ~ leq(nbr_proc,s(index(pendack,host(X6))))
| ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive) )
& ! [X7,X8,X9,X10] :
( ~ elem(m_Down(X8),queue(host(X7)))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X10))
| nbr_proc != host(X10)
| host(X10) != host(X8)
| ~ elem(m_Down(X9),queue(host(X10)))
| ? [X11] :
( host(X9) != X11
& ~ setIn(X11,index(down,host(X10)))
& leq(s(zero),X11)
& ~ leq(host(X10),X11) ) )
& ! [X12,X13,X14] :
( norm != index(status,host(X12))
| host(X12) != index(ldr,host(X12))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X14))
| ~ elem(m_Halt(X14),queue(host(X13)))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X12)) )
& ! [X15,X16] :
( ~ leq(index(pendack,host(X15)),index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| elec_2 != index(status,host(X15))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive)
| leq(host(X15),host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X17,X18),queue(host(X17)))
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X17))
| host(X19) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ elem(m_Ack(X27,X26),queue(host(X27)))
| elec_1 != index(status,host(X27))
| ~ setIn(X27,alive) )
& ! [X28,X29] :
( leq(host(X28),index(pendack,host(X29)))
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| host(X30) != host(X31)
| X30 = X31 )
& ! [X32,X33,X34] :
( ~ leq(host(X32),host(X34))
| ~ elem(m_Ack(X34,X32),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Halt(X36),queue(host(X35))) )
& ! [X37,X38] :
( host(X37) != host(X38)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Ldr(X40),queue(host(X39))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X2)) = cons(m_NormQ(X1),X0)
& ! [X3,X4,X5,X6] :
( ( host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Down(X5),queue(host(X6)))
& elem(m_Ack(X6,X4),queue(host(X6)))
& setIn(X6,alive) )
=> ~ ( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive) ) )
& ! [X7,X8,X9,X10] :
( ( elec_1 = index(status,host(X10))
& nbr_proc = host(X10)
& host(X10) = host(X8)
& elem(m_Down(X9),queue(host(X10)))
& ! [X11] :
( ( leq(s(zero),X11)
& ~ leq(host(X10),X11) )
=> ( host(X9) = X11
| setIn(X11,index(down,host(X10))) ) ) )
=> ~ ( elem(m_Down(X8),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X12,X13,X14] :
( ( elec_2 = index(status,host(X14))
& elem(m_Halt(X14),queue(host(X13)))
& setIn(X14,alive)
& ~ leq(index(pendack,host(X14)),host(X12)) )
=> ~ ( norm = index(status,host(X12))
& host(X12) = index(ldr,host(X12))
& setIn(X12,alive) ) )
& ! [X15,X16] :
( ( elec_2 = index(status,host(X16))
& elec_2 = index(status,host(X15))
& setIn(X16,alive)
& setIn(X15,alive)
& ~ leq(host(X15),host(X16)) )
=> ~ leq(index(pendack,host(X15)),index(pendack,host(X16))) )
& ! [X17,X18,X19] :
( ( elec_2 = index(status,host(X19))
& elec_2 = index(status,host(X17))
& host(X19) = host(X18)
& setIn(X19,alive)
& setIn(X17,alive) )
=> ~ elem(m_Ack(X17,X18),queue(host(X17))) )
& ! [X20,X21,X22] :
( ( host(X20) = host(X21)
& elem(m_Down(X21),queue(host(X22)))
& setIn(X22,alive) )
=> ~ ( norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20))
& setIn(X20,alive) ) )
& ! [X23,X24] :
( ( elec_2 = index(status,host(X24))
& elec_2 = index(status,host(X23))
& setIn(X24,alive)
& setIn(X23,alive)
& ~ leq(host(X23),host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X25] :
( ( setIn(X25,alive)
& ( elec_2 = index(status,host(X25))
| elec_1 = index(status,host(X25)) ) )
=> index(elid,host(X25)) = X25 )
& ! [X26,X27] :
( ( elec_1 = index(status,host(X27))
& setIn(X27,alive) )
=> ~ elem(m_Ack(X27,X26),queue(host(X27))) )
& ! [X28,X29] :
( ( elem(m_Ack(X29,X28),queue(host(X29)))
& setIn(X29,alive) )
=> leq(host(X28),index(pendack,host(X29))) )
& ! [X30,X31] :
( ( host(X30) = host(X31)
& X30 != X31 )
=> ( ~ setIn(X31,alive)
| ~ setIn(X30,alive) ) )
& ! [X32,X33,X34] :
( elem(m_Ack(X34,X32),queue(host(X33)))
=> ~ leq(host(X32),host(X34)) )
& ! [X35,X36] :
( elem(m_Halt(X36),queue(host(X35)))
=> ~ leq(host(X35),host(X36)) )
& ! [X37,X38] :
( elem(m_Down(X38),queue(host(X37)))
=> host(X37) != host(X38) )
& ! [X39,X40] :
( elem(m_Ldr(X40),queue(host(X39)))
=> ~ leq(host(X39),host(X40)) ) )
=> ( setIn(X2,alive)
=> ( norm != index(status,host(X2))
=> ! [X41,X42,X43,X44] :
( host(X1) = host(X44)
=> ( host(X2) = host(X44)
=> ( ( s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& setIn(X44,alive) )
=> ~ ( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4] :
( ( queue(host(X4)) = cons(m_NormQ(X12),X11)
& ! [X5,X6,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Down(X14),queue(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,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(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] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X5))
& host(X6) = host(X13)
& setIn(X13,alive)
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( 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(X6)),host(X5)) )
& ! [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] :
( ( 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,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X4,alive)
=> ( norm != index(status,host(X4))
=> ! [X5,X6,X16,X17] :
( host(X12) = host(X17)
=> ( host(X4) = host(X17)
=> ( ( s(index(pendack,host(X17))) = host(X16)
& host(X6) = index(pendack,host(X17))
& elec_2 = index(status,host(X17))
& leq(nbr_proc,s(index(pendack,host(X17))))
& elem(m_Ack(X17,X6),snoc(X11,m_NotNorm(X12)))
& elem(m_Down(X16),snoc(X11,m_NotNorm(X12)))
& setIn(X17,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(X4)) = cons(m_NormQ(X12),X11)
& ! [X5,X6,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Down(X14),queue(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,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(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] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X5))
& host(X6) = host(X13)
& setIn(X13,alive)
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( 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(X6)),host(X5)) )
& ! [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] :
( ( 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,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X4,alive)
=> ( norm != index(status,host(X4))
=> ! [X5,X6,X16,X17] :
( host(X12) = host(X17)
=> ( host(X4) = host(X17)
=> ( ( s(index(pendack,host(X17))) = host(X16)
& host(X6) = index(pendack,host(X17))
& elec_2 = index(status,host(X17))
& leq(nbr_proc,s(index(pendack,host(X17))))
& elem(m_Ack(X17,X6),snoc(X11,m_NotNorm(X12)))
& elem(m_Down(X16),snoc(X11,m_NotNorm(X12)))
& setIn(X17,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f1157,plain,
spl13_136,
inference(avatar_split_clause,[],[f287,f1155]) ).
fof(f1155,plain,
( spl13_136
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).
fof(f287,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1153,plain,
spl13_135,
inference(avatar_split_clause,[],[f278,f1151]) ).
fof(f1151,plain,
( spl13_135
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).
fof(f278,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1149,plain,
( spl13_134
| ~ spl13_21
| ~ spl13_72 ),
inference(avatar_split_clause,[],[f759,f712,f443,f1146]) ).
fof(f1146,plain,
( spl13_134
<=> m_NormQ(sK3) = head(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f759,plain,
( m_NormQ(sK3) = head(queue(host(sK3)))
| ~ spl13_21
| ~ spl13_72 ),
inference(superposition,[],[f713,f445]) ).
fof(f1144,plain,
spl13_133,
inference(avatar_split_clause,[],[f237,f1142]) ).
fof(f237,plain,
! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(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(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(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/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f1104,plain,
spl13_132,
inference(avatar_split_clause,[],[f310,f1102]) ).
fof(f310,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/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f1100,plain,
spl13_131,
inference(avatar_split_clause,[],[f307,f1098]) ).
fof(f307,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/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f1096,plain,
spl13_130,
inference(avatar_split_clause,[],[f303,f1094]) ).
fof(f303,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/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f1092,plain,
spl13_129,
inference(avatar_split_clause,[],[f292,f1090]) ).
fof(f292,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/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f1086,plain,
spl13_128,
inference(avatar_split_clause,[],[f259,f1084]) ).
fof(f259,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/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f1052,plain,
spl13_127,
inference(avatar_split_clause,[],[f314,f1050]) ).
fof(f1050,plain,
( spl13_127
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f314,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/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f1048,plain,
spl13_126,
inference(avatar_split_clause,[],[f313,f1046]) ).
fof(f1046,plain,
( spl13_126
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f313,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/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f1044,plain,
spl13_125,
inference(avatar_split_clause,[],[f288,f1042]) ).
fof(f288,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1040,plain,
spl13_124,
inference(avatar_split_clause,[],[f279,f1038]) ).
fof(f279,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1036,plain,
spl13_123,
inference(avatar_split_clause,[],[f261,f1034]) ).
fof(f261,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/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f1032,plain,
spl13_122,
inference(avatar_split_clause,[],[f260,f1030]) ).
fof(f260,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1028,plain,
spl13_121,
inference(avatar_split_clause,[],[f236,f1026]) ).
fof(f236,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/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f1024,plain,
spl13_120,
inference(avatar_split_clause,[],[f235,f1022]) ).
fof(f235,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/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f1014,plain,
spl13_119,
inference(avatar_split_clause,[],[f194,f1012]) ).
fof(f194,plain,
! [X18,X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f984,plain,
spl13_118,
inference(avatar_split_clause,[],[f305,f982]) ).
fof(f305,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/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f980,plain,
spl13_117,
inference(avatar_split_clause,[],[f295,f978]) ).
fof(f295,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/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f976,plain,
spl13_116,
inference(avatar_split_clause,[],[f291,f974]) ).
fof(f291,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/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f972,plain,
spl13_115,
inference(avatar_split_clause,[],[f282,f970]) ).
fof(f282,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/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f946,plain,
spl13_114,
inference(avatar_split_clause,[],[f312,f944]) ).
fof(f312,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f942,plain,
( spl13_112
| ~ spl13_113
| ~ spl13_21
| ~ spl13_77 ),
inference(avatar_split_clause,[],[f767,f732,f443,f939,f935]) ).
fof(f935,plain,
( spl13_112
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f939,plain,
( spl13_113
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f767,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2)
| ~ spl13_21
| ~ spl13_77 ),
inference(superposition,[],[f733,f445]) ).
fof(f933,plain,
spl13_111,
inference(avatar_split_clause,[],[f309,f931]) ).
fof(f309,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f929,plain,
spl13_110,
inference(avatar_split_clause,[],[f304,f927]) ).
fof(f304,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/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f925,plain,
spl13_109,
inference(avatar_split_clause,[],[f284,f923]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f921,plain,
spl13_108,
inference(avatar_split_clause,[],[f275,f919]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f917,plain,
spl13_107,
inference(avatar_split_clause,[],[f273,f915]) ).
fof(f273,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/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f913,plain,
spl13_106,
inference(avatar_split_clause,[],[f272,f911]) ).
fof(f272,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f909,plain,
spl13_105,
inference(avatar_split_clause,[],[f270,f907]) ).
fof(f907,plain,
( spl13_105
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f270,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f905,plain,
spl13_104,
inference(avatar_split_clause,[],[f268,f903]) ).
fof(f903,plain,
( spl13_104
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f268,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f901,plain,
spl13_103,
inference(avatar_split_clause,[],[f266,f899]) ).
fof(f899,plain,
( spl13_103
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f266,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,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/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f897,plain,
spl13_102,
inference(avatar_split_clause,[],[f264,f895]) ).
fof(f895,plain,
( spl13_102
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f264,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,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/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f893,plain,
( spl13_101
| ~ spl13_21
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f760,f716,f443,f890]) ).
fof(f890,plain,
( spl13_101
<=> sK2 = tail(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f716,plain,
( spl13_73
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f760,plain,
( sK2 = tail(queue(host(sK3)))
| ~ spl13_21
| ~ spl13_73 ),
inference(superposition,[],[f717,f445]) ).
fof(f717,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f888,plain,
spl13_100,
inference(avatar_split_clause,[],[f262,f886]) ).
fof(f886,plain,
( spl13_100
<=> ! [X0,X1] :
( m_NormQ(X1) != m_NormQ(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f262,plain,
! [X0,X1] :
( m_NormQ(X1) != m_NormQ(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X1) = m_NormQ(X0) )
& ( m_NormQ(X1) != m_NormQ(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X1) != m_NormQ(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f872,plain,
( spl13_97
| ~ spl13_98
| spl13_99 ),
inference(avatar_split_clause,[],[f332,f870,f866,f863]) ).
fof(f863,plain,
( spl13_97
<=> ! [X13,X14] :
( nbr_proc != host(X14)
| ~ elem(m_Down(X13),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f866,plain,
( spl13_98
<=> elec_1 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f870,plain,
( spl13_99
<=> ! [X12,X11] :
( ~ elem(m_Down(X12),queue(host(X11)))
| nbr_proc != host(X12)
| ~ setIn(X11,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f332,plain,
! [X11,X14,X12,X13] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X14)
| nbr_proc != host(X12)
| ~ elem(m_Down(X13),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X13,X14)) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,plain,
! [X11,X14,X12,X13] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ~ leq(host(X14),sK9(X13,X14)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f861,plain,
spl13_96,
inference(avatar_split_clause,[],[f193,f859]) ).
fof(f193,plain,
! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f830,plain,
spl13_95,
inference(avatar_split_clause,[],[f192,f828]) ).
fof(f192,plain,
! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f826,plain,
spl13_94,
inference(avatar_split_clause,[],[f191,f824]) ).
fof(f191,plain,
! [X26,X24,X25] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f822,plain,
( spl13_93
| ~ spl13_21
| ~ spl13_69 ),
inference(avatar_split_clause,[],[f705,f695,f443,f819]) ).
fof(f819,plain,
( spl13_93
<=> elem(m_NormQ(sK3),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f705,plain,
( elem(m_NormQ(sK3),queue(host(sK3)))
| ~ spl13_21
| ~ spl13_69 ),
inference(superposition,[],[f696,f445]) ).
fof(f817,plain,
spl13_92,
inference(avatar_split_clause,[],[f190,f815]) ).
fof(f190,plain,
! [X28,X27] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f800,plain,
spl13_91,
inference(avatar_split_clause,[],[f294,f798]) ).
fof(f294,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f796,plain,
spl13_90,
inference(avatar_split_clause,[],[f290,f794]) ).
fof(f290,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f792,plain,
spl13_89,
inference(avatar_split_clause,[],[f286,f790]) ).
fof(f286,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f788,plain,
spl13_88,
inference(avatar_split_clause,[],[f281,f786]) ).
fof(f281,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f784,plain,
spl13_87,
inference(avatar_split_clause,[],[f277,f782]) ).
fof(f277,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f780,plain,
spl13_86,
inference(avatar_split_clause,[],[f257,f778]) ).
fof(f257,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/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f776,plain,
spl13_85,
inference(avatar_split_clause,[],[f232,f774]) ).
fof(f232,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/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f772,plain,
( spl13_84
| spl13_50
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f762,f728,f614,f769]) ).
fof(f769,plain,
( spl13_84
<=> leq(host(sK6),host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f762,plain,
( leq(host(sK6),host(sK7))
| spl13_50
| ~ spl13_76 ),
inference(resolution,[],[f729,f616]) ).
fof(f758,plain,
spl13_83,
inference(avatar_split_clause,[],[f302,f756]) ).
fof(f756,plain,
( spl13_83
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f302,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f754,plain,
spl13_82,
inference(avatar_split_clause,[],[f301,f752]) ).
fof(f752,plain,
( spl13_82
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f301,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f750,plain,
spl13_81,
inference(avatar_split_clause,[],[f300,f748]) ).
fof(f300,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f746,plain,
spl13_80,
inference(avatar_split_clause,[],[f299,f744]) ).
fof(f744,plain,
( spl13_80
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f299,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f742,plain,
spl13_79,
inference(avatar_split_clause,[],[f298,f740]) ).
fof(f740,plain,
( spl13_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f298,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/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f738,plain,
spl13_78,
inference(avatar_split_clause,[],[f289,f736]) ).
fof(f289,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f734,plain,
spl13_77,
inference(avatar_split_clause,[],[f280,f732]) ).
fof(f280,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f730,plain,
spl13_76,
inference(avatar_split_clause,[],[f256,f728]) ).
fof(f256,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/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f726,plain,
spl13_75,
inference(avatar_split_clause,[],[f255,f724]) ).
fof(f255,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/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f722,plain,
spl13_74,
inference(avatar_split_clause,[],[f254,f720]) ).
fof(f254,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/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f718,plain,
spl13_73,
inference(avatar_split_clause,[],[f253,f716]) ).
fof(f253,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/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f714,plain,
spl13_72,
inference(avatar_split_clause,[],[f252,f712]) ).
fof(f252,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/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f710,plain,
( ~ spl13_71
| ~ spl13_21
| ~ spl13_65 ),
inference(avatar_split_clause,[],[f704,f679,f443,f707]) ).
fof(f707,plain,
( spl13_71
<=> q_nil = queue(host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f679,plain,
( spl13_65
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f704,plain,
( q_nil != queue(host(sK3))
| ~ spl13_21
| ~ spl13_65 ),
inference(superposition,[],[f680,f445]) ).
fof(f680,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f701,plain,
spl13_70,
inference(avatar_split_clause,[],[f327,f699]) ).
fof(f327,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f697,plain,
spl13_69,
inference(avatar_split_clause,[],[f326,f695]) ).
fof(f326,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f308]) ).
fof(f308,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f693,plain,
spl13_68,
inference(avatar_split_clause,[],[f285,f691]) ).
fof(f691,plain,
( spl13_68
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f285,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f689,plain,
spl13_67,
inference(avatar_split_clause,[],[f276,f687]) ).
fof(f687,plain,
( spl13_67
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f276,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f685,plain,
spl13_66,
inference(avatar_split_clause,[],[f251,f683]) ).
fof(f683,plain,
( spl13_66
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f251,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/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f681,plain,
spl13_65,
inference(avatar_split_clause,[],[f250,f679]) ).
fof(f250,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/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f677,plain,
spl13_64,
inference(avatar_split_clause,[],[f249,f675]) ).
fof(f249,plain,
! [X0,X1] : m_NotNorm(X1) != m_Down(X0),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_NotNorm(X1) != m_Down(X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f673,plain,
spl13_63,
inference(avatar_split_clause,[],[f248,f671]) ).
fof(f671,plain,
( spl13_63
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f248,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,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/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f669,plain,
spl13_62,
inference(avatar_split_clause,[],[f247,f667]) ).
fof(f667,plain,
( spl13_62
<=> ! [X0,X1] : m_NormQ(X1) != m_Down(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f247,plain,
! [X0,X1] : m_NormQ(X1) != m_Down(X0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_NormQ(X1) != m_Down(X0),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f665,plain,
spl13_61,
inference(avatar_split_clause,[],[f246,f663]) ).
fof(f663,plain,
( spl13_61
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f246,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f661,plain,
spl13_60,
inference(avatar_split_clause,[],[f245,f659]) ).
fof(f659,plain,
( spl13_60
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f245,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f657,plain,
spl13_59,
inference(avatar_split_clause,[],[f244,f655]) ).
fof(f655,plain,
( spl13_59
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f244,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f653,plain,
spl13_58,
inference(avatar_split_clause,[],[f243,f651]) ).
fof(f651,plain,
( spl13_58
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f243,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/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f649,plain,
spl13_57,
inference(avatar_split_clause,[],[f242,f647]) ).
fof(f647,plain,
( spl13_57
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f242,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,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/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f645,plain,
spl13_56,
inference(avatar_split_clause,[],[f241,f643]) ).
fof(f643,plain,
( spl13_56
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f241,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f641,plain,
spl13_55,
inference(avatar_split_clause,[],[f240,f639]) ).
fof(f639,plain,
( spl13_55
<=> ! [X0,X1] : m_NormQ(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f240,plain,
! [X0,X1] : m_NormQ(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NormQ(X1) != m_Ldr(X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f637,plain,
spl13_54,
inference(avatar_split_clause,[],[f231,f635]) ).
fof(f231,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/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f633,plain,
spl13_53,
inference(avatar_split_clause,[],[f230,f631]) ).
fof(f230,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/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f629,plain,
spl13_52,
inference(avatar_split_clause,[],[f229,f627]) ).
fof(f229,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/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f621,plain,
spl13_51,
inference(avatar_split_clause,[],[f186,f619]) ).
fof(f186,plain,
! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f617,plain,
( ~ spl13_50
| ~ spl13_20
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f610,f599,f438,f614]) ).
fof(f610,plain,
( ~ leq(host(sK7),host(sK6))
| ~ spl13_20
| ~ spl13_47 ),
inference(superposition,[],[f600,f440]) ).
fof(f609,plain,
spl13_49,
inference(avatar_split_clause,[],[f333,f607]) ).
fof(f333,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f234,f232]) ).
fof(f234,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/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f605,plain,
spl13_48,
inference(avatar_split_clause,[],[f228,f603]) ).
fof(f228,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/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f601,plain,
spl13_47,
inference(avatar_split_clause,[],[f227,f599]) ).
fof(f227,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/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f597,plain,
spl13_46,
inference(avatar_split_clause,[],[f223,f594]) ).
fof(f223,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f586,plain,
spl13_45,
inference(avatar_split_clause,[],[f187,f584]) ).
fof(f584,plain,
( spl13_45
<=> ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f187,plain,
! [X31,X30] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f573,plain,
( ~ spl13_44
| ~ spl13_7
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f527,f478,f366,f570]) ).
fof(f527,plain,
( ~ elem(m_Down(sK4),queue(host(sK3)))
| ~ spl13_7
| ~ spl13_27 ),
inference(superposition,[],[f479,f368]) ).
fof(f562,plain,
spl13_43,
inference(avatar_split_clause,[],[f189,f560]) ).
fof(f189,plain,
! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f558,plain,
spl13_42,
inference(avatar_split_clause,[],[f188,f556]) ).
fof(f556,plain,
( spl13_42
<=> ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_1 != index(status,host(X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f188,plain,
! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_1 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f548,plain,
spl13_41,
inference(avatar_split_clause,[],[f185,f546]) ).
fof(f185,plain,
! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 ),
inference(cnf_transformation,[],[f150]) ).
fof(f544,plain,
( ~ spl13_40
| ~ spl13_5
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f526,f478,f355,f541]) ).
fof(f526,plain,
( ~ elem(m_Down(sK8),queue(host(sK3)))
| ~ spl13_5
| ~ spl13_27 ),
inference(superposition,[],[f479,f357]) ).
fof(f539,plain,
spl13_39,
inference(avatar_split_clause,[],[f316,f537]) ).
fof(f316,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f535,plain,
spl13_38,
inference(avatar_split_clause,[],[f315,f533]) ).
fof(f315,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f531,plain,
spl13_37,
inference(avatar_split_clause,[],[f226,f529]) ).
fof(f226,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/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f525,plain,
spl13_36,
inference(avatar_split_clause,[],[f225,f523]) ).
fof(f523,plain,
( spl13_36
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f225,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/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f521,plain,
spl13_35,
inference(avatar_split_clause,[],[f224,f519]) ).
fof(f224,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/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f517,plain,
~ spl13_34,
inference(avatar_split_clause,[],[f222,f514]) ).
fof(f514,plain,
( spl13_34
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f222,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f512,plain,
~ spl13_33,
inference(avatar_split_clause,[],[f221,f509]) ).
fof(f509,plain,
( spl13_33
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f221,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f507,plain,
~ spl13_32,
inference(avatar_split_clause,[],[f220,f504]) ).
fof(f504,plain,
( spl13_32
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f220,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f502,plain,
~ spl13_31,
inference(avatar_split_clause,[],[f219,f499]) ).
fof(f499,plain,
( spl13_31
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f219,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
fof(f497,plain,
~ spl13_30,
inference(avatar_split_clause,[],[f218,f494]) ).
fof(f494,plain,
( spl13_30
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f218,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f492,plain,
~ spl13_29,
inference(avatar_split_clause,[],[f217,f489]) ).
fof(f489,plain,
( spl13_29
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f217,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f487,plain,
~ spl13_28,
inference(avatar_split_clause,[],[f216,f484]) ).
fof(f484,plain,
( spl13_28
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f216,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f480,plain,
( spl13_27
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f470,f457,f478]) ).
fof(f470,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_24 ),
inference(equality_resolution,[],[f458]) ).
fof(f476,plain,
spl13_26,
inference(avatar_split_clause,[],[f184,f474]) ).
fof(f474,plain,
( spl13_26
<=> ! [X38,X36,X37] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f184,plain,
! [X38,X36,X37] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f463,plain,
spl13_25,
inference(avatar_split_clause,[],[f183,f461]) ).
fof(f183,plain,
! [X40,X39] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f459,plain,
spl13_24,
inference(avatar_split_clause,[],[f182,f457]) ).
fof(f182,plain,
! [X41,X42] :
( host(X42) != host(X41)
| ~ elem(m_Down(X42),queue(host(X41))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f455,plain,
spl13_23,
inference(avatar_split_clause,[],[f181,f453]) ).
fof(f181,plain,
! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f451,plain,
spl13_22,
inference(avatar_split_clause,[],[f215,f448]) ).
fof(f448,plain,
( spl13_22
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f215,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f446,plain,
( spl13_21
| ~ spl13_7
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f424,f420,f366,f443]) ).
fof(f420,plain,
( spl13_17
<=> queue(host(sK4)) = cons(m_NormQ(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f424,plain,
( cons(m_NormQ(sK3),sK2) = queue(host(sK3))
| ~ spl13_7
| ~ spl13_17 ),
inference(forward_demodulation,[],[f422,f368]) ).
fof(f422,plain,
( queue(host(sK4)) = cons(m_NormQ(sK3),sK2)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f441,plain,
( spl13_20
| ~ spl13_5
| ~ spl13_16
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f436,f431,f415,f355,f438]) ).
fof(f431,plain,
( spl13_19
<=> host(sK7) = s(index(pendack,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f436,plain,
( host(sK7) = s(host(sK6))
| ~ spl13_5
| ~ spl13_16
| ~ spl13_19 ),
inference(forward_demodulation,[],[f435,f417]) ).
fof(f435,plain,
( host(sK7) = s(index(pendack,host(sK3)))
| ~ spl13_5
| ~ spl13_19 ),
inference(forward_demodulation,[],[f433,f357]) ).
fof(f433,plain,
( host(sK7) = s(index(pendack,host(sK8)))
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
spl13_19,
inference(avatar_split_clause,[],[f211,f431]) ).
fof(f211,plain,
host(sK7) = s(index(pendack,host(sK8))),
inference(cnf_transformation,[],[f150]) ).
fof(f429,plain,
spl13_18,
inference(avatar_split_clause,[],[f207,f426]) ).
fof(f207,plain,
elem(m_Ack(sK8,sK6),snoc(sK2,m_NotNorm(sK3))),
inference(cnf_transformation,[],[f150]) ).
fof(f423,plain,
spl13_17,
inference(avatar_split_clause,[],[f200,f420]) ).
fof(f200,plain,
queue(host(sK4)) = cons(m_NormQ(sK3),sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f418,plain,
( spl13_16
| ~ spl13_5
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f408,f404,f355,f415]) ).
fof(f404,plain,
( spl13_14
<=> index(pendack,host(sK8)) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f408,plain,
( host(sK6) = index(pendack,host(sK3))
| ~ spl13_5
| ~ spl13_14 ),
inference(forward_demodulation,[],[f406,f357]) ).
fof(f406,plain,
( index(pendack,host(sK8)) = host(sK6)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f413,plain,
spl13_15,
inference(avatar_split_clause,[],[f213,f410]) ).
fof(f213,plain,
host(sK5) = index(ldr,host(sK5)),
inference(cnf_transformation,[],[f150]) ).
fof(f407,plain,
spl13_14,
inference(avatar_split_clause,[],[f210,f404]) ).
fof(f210,plain,
index(pendack,host(sK8)) = host(sK6),
inference(cnf_transformation,[],[f150]) ).
fof(f402,plain,
spl13_13,
inference(avatar_split_clause,[],[f206,f399]) ).
fof(f206,plain,
elem(m_Down(sK7),snoc(sK2,m_NotNorm(sK3))),
inference(cnf_transformation,[],[f150]) ).
fof(f396,plain,
( spl13_12
| ~ spl13_5
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f381,f377,f355,f393]) ).
fof(f377,plain,
( spl13_9
<=> elec_2 = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f381,plain,
( elec_2 = index(status,host(sK3))
| ~ spl13_5
| ~ spl13_9 ),
inference(forward_demodulation,[],[f379,f357]) ).
fof(f379,plain,
( elec_2 = index(status,host(sK8))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f391,plain,
( ~ spl13_11
| ~ spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f375,f371,f366,f388]) ).
fof(f388,plain,
( spl13_11
<=> norm = index(status,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f371,plain,
( spl13_8
<=> norm = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f375,plain,
( norm != index(status,host(sK3))
| ~ spl13_7
| spl13_8 ),
inference(forward_demodulation,[],[f373,f368]) ).
fof(f373,plain,
( norm != index(status,host(sK4))
| spl13_8 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f386,plain,
spl13_10,
inference(avatar_split_clause,[],[f214,f383]) ).
fof(f214,plain,
norm = index(status,host(sK5)),
inference(cnf_transformation,[],[f150]) ).
fof(f380,plain,
spl13_9,
inference(avatar_split_clause,[],[f209,f377]) ).
fof(f209,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f150]) ).
fof(f374,plain,
~ spl13_8,
inference(avatar_split_clause,[],[f202,f371]) ).
fof(f202,plain,
norm != index(status,host(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f369,plain,
( spl13_7
| ~ spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f364,f360,f355,f366]) ).
fof(f360,plain,
( spl13_6
<=> host(sK4) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f364,plain,
( host(sK4) = host(sK3)
| ~ spl13_5
| ~ spl13_6 ),
inference(forward_demodulation,[],[f362,f357]) ).
fof(f362,plain,
( host(sK4) = host(sK8)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
spl13_6,
inference(avatar_split_clause,[],[f204,f360]) ).
fof(f204,plain,
host(sK4) = host(sK8),
inference(cnf_transformation,[],[f150]) ).
fof(f358,plain,
spl13_5,
inference(avatar_split_clause,[],[f203,f355]) ).
fof(f203,plain,
host(sK3) = host(sK8),
inference(cnf_transformation,[],[f150]) ).
fof(f353,plain,
spl13_4,
inference(avatar_split_clause,[],[f328,f350]) ).
fof(f328,plain,
leq(nbr_proc,host(sK7)),
inference(forward_demodulation,[],[f208,f211]) ).
fof(f208,plain,
leq(nbr_proc,s(index(pendack,host(sK8)))),
inference(cnf_transformation,[],[f150]) ).
fof(f348,plain,
spl13_3,
inference(avatar_split_clause,[],[f212,f345]) ).
fof(f212,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f343,plain,
spl13_2,
inference(avatar_split_clause,[],[f205,f340]) ).
fof(f205,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f338,plain,
spl13_1,
inference(avatar_split_clause,[],[f201,f335]) ).
fof(f201,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV465+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 09:30:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (10657)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10660)WARNING: value z3 for option sas not known
% 0.14/0.37 % (10659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (10658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (10661)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (10660)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (10662)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (10663)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (10664)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 Detected minimum model sizes of [4]
% 0.14/0.39 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [4]
% 0.20/0.43 Detected minimum model sizes of [4]
% 0.20/0.43 Detected maximum model sizes of [max]
% 0.20/0.44 % (10662)First to succeed.
% 0.20/0.44 TRYING [5]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 % (10662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10657"
% 0.20/0.46 % (10662)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (10662)------------------------------
% 0.20/0.47 % (10662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.47 % (10662)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (10662)Memory used [KB]: 2142
% 0.20/0.47 % (10662)Time elapsed: 0.091 s
% 0.20/0.47 % (10662)Instructions burned: 151 (million)
% 0.20/0.47 % (10657)Success in time 0.104 s
%------------------------------------------------------------------------------