TSTP Solution File: SWV464+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:58:57 EDT 2024
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 364
% Syntax : Number of formulae : 1208 ( 260 unt; 0 def)
% Number of atoms : 4485 (1139 equ)
% Maximal formula atoms : 182 ( 3 avg)
% Number of connectives : 5816 (2539 ~;2307 |; 552 &)
% ( 324 <=>; 94 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 299 ( 297 usr; 291 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 24 con; 0-2 aty)
% Number of variables : 1775 (1718 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2828,plain,
$false,
inference(avatar_sat_refutation,[],[f341,f346,f351,f356,f361,f366,f371,f376,f382,f387,f392,f397,f402,f407,f412,f418,f423,f429,f434,f439,f444,f449,f453,f457,f461,f466,f471,f476,f481,f486,f491,f496,f501,f505,f509,f513,f517,f521,f525,f529,f535,f539,f552,f560,f564,f568,f572,f579,f583,f587,f591,f595,f599,f603,f607,f612,f616,f620,f624,f628,f632,f636,f640,f644,f648,f652,f656,f660,f664,f670,f675,f679,f683,f687,f691,f695,f699,f703,f707,f711,f715,f719,f737,f741,f745,f749,f753,f758,f762,f766,f770,f788,f792,f796,f816,f827,f838,f842,f846,f850,f854,f858,f862,f866,f870,f874,f879,f883,f887,f925,f929,f933,f937,f949,f975,f983,f987,f991,f995,f999,f1003,f1007,f1011,f1042,f1046,f1050,f1054,f1058,f1062,f1106,f1110,f1114,f1125,f1142,f1148,f1153,f1157,f1178,f1184,f1189,f1195,f1200,f1205,f1210,f1223,f1228,f1232,f1236,f1245,f1250,f1254,f1291,f1316,f1321,f1326,f1332,f1336,f1341,f1355,f1359,f1364,f1373,f1377,f1382,f1391,f1395,f1400,f1435,f1439,f1449,f1459,f1463,f1467,f1474,f1478,f1499,f1503,f1507,f1511,f1520,f1525,f1548,f1563,f1568,f1584,f1590,f1612,f1616,f1629,f1642,f1654,f1659,f1671,f1676,f1690,f1703,f1707,f1711,f1716,f1724,f1738,f1742,f1746,f1750,f1755,f1759,f1763,f1767,f1832,f1841,f1847,f1879,f1883,f1892,f1899,f1903,f1907,f1911,f1954,f1978,f1982,f1986,f1990,f1995,f2000,f2004,f2008,f2012,f2016,f2068,f2102,f2106,f2110,f2114,f2118,f2122,f2127,f2131,f2135,f2139,f2222,f2242,f2246,f2250,f2302,f2306,f2311,f2315,f2366,f2370,f2374,f2378,f2382,f2414,f2462,f2466,f2500,f2504,f2508,f2518,f2522,f2594,f2598,f2604,f2628,f2632,f2636,f2640,f2644,f2648,f2652,f2656,f2696,f2708,f2715,f2720,f2725,f2762,f2766,f2767,f2788,f2791,f2816,f2827]) ).
fof(f2827,plain,
( spl14_269
| ~ spl14_60
| ~ spl14_177 ),
inference(avatar_split_clause,[],[f2798,f1456,f626,f2506]) ).
fof(f2506,plain,
( spl14_269
<=> ! [X0] : m_Halt(X0) != m_Halt(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_269])]) ).
fof(f626,plain,
( spl14_60
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f1456,plain,
( spl14_177
<=> m_Down(sK8) = m_Halt(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
fof(f2798,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK3)
| ~ spl14_60
| ~ spl14_177 ),
inference(superposition,[],[f627,f1458]) ).
fof(f1458,plain,
( m_Down(sK8) = m_Halt(sK3)
| ~ spl14_177 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f627,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f2816,plain,
( spl14_290
| ~ spl14_50
| ~ spl14_51
| ~ spl14_177 ),
inference(avatar_split_clause,[],[f2809,f1456,f589,f585,f2813]) ).
fof(f2813,plain,
( spl14_290
<=> sK3 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
fof(f585,plain,
( spl14_50
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f589,plain,
( spl14_51
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f2809,plain,
( sK3 = sK8
| ~ spl14_50
| ~ spl14_51
| ~ spl14_177 ),
inference(forward_demodulation,[],[f2797,f586]) ).
fof(f586,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f2797,plain,
( sK8 = pidMsg(m_Halt(sK3))
| ~ spl14_51
| ~ spl14_177 ),
inference(superposition,[],[f590,f1458]) ).
fof(f590,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl14_51 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f2791,plain,
( ~ spl14_176
| ~ spl14_154
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2790,f2786,f1242,f1452]) ).
fof(f1452,plain,
( spl14_176
<=> elem(m_Down(sK8),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_176])]) ).
fof(f1242,plain,
( spl14_154
<=> nbr_proc = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
fof(f2786,plain,
( spl14_289
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_289])]) ).
fof(f2790,plain,
( ~ elem(m_Down(sK8),queue(host(sK9)))
| ~ spl14_154
| ~ spl14_289 ),
inference(trivial_inequality_removal,[],[f2789]) ).
fof(f2789,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Down(sK8),queue(host(sK9)))
| ~ spl14_154
| ~ spl14_289 ),
inference(superposition,[],[f2787,f1244]) ).
fof(f1244,plain,
( nbr_proc = host(sK8)
| ~ spl14_154 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f2787,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK9))) )
| ~ spl14_289 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f2788,plain,
( spl14_289
| ~ spl14_154
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f2784,f1839,f1242,f2786]) ).
fof(f1839,plain,
( spl14_220
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_220])]) ).
fof(f2784,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK9))) )
| ~ spl14_154
| ~ spl14_220 ),
inference(forward_demodulation,[],[f1840,f1244]) ).
fof(f1840,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK9))) )
| ~ spl14_220 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f2767,plain,
( ~ spl14_186
| ~ spl14_219 ),
inference(avatar_split_clause,[],[f1874,f1836,f1513]) ).
fof(f1513,plain,
( spl14_186
<=> elem(m_Ack(sK9,sK7),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
fof(f1836,plain,
( spl14_219
<=> ! [X1] :
( ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| host(X1) != host(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_219])]) ).
fof(f1874,plain,
( ~ elem(m_Ack(sK9,sK7),queue(host(sK9)))
| ~ spl14_219 ),
inference(equality_resolution,[],[f1837]) ).
fof(f1837,plain,
( ! [X1] :
( host(X1) != host(sK7)
| ~ elem(m_Ack(sK9,X1),queue(host(sK9))) )
| ~ spl14_219 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f2766,plain,
( spl14_288
| ~ spl14_91
| ~ spl14_168 ),
inference(avatar_split_clause,[],[f1383,f1380,f768,f2764]) ).
fof(f2764,plain,
( spl14_288
<=> ! [X0] :
( leq(host(sK7),X0)
| ~ leq(nbr_proc,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_288])]) ).
fof(f768,plain,
( spl14_91
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f1380,plain,
( spl14_168
<=> ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_168])]) ).
fof(f1383,plain,
( ! [X0] :
( leq(host(sK7),X0)
| ~ leq(nbr_proc,X0) )
| ~ spl14_91
| ~ spl14_168 ),
inference(resolution,[],[f1381,f769]) ).
fof(f769,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl14_91 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1381,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK7),X0) )
| ~ spl14_168 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f2762,plain,
( spl14_287
| ~ spl14_12
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f911,f876,f394,f2759]) ).
fof(f2759,plain,
( spl14_287
<=> host(sK5) = index(pendack,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_287])]) ).
fof(f394,plain,
( spl14_12
<=> index(pendack,host(sK4)) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f876,plain,
( spl14_109
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
fof(f911,plain,
( host(sK5) = index(pendack,host(sK3))
| ~ spl14_12
| ~ spl14_109 ),
inference(superposition,[],[f396,f878]) ).
fof(f878,plain,
( sK3 = sK4
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f396,plain,
( index(pendack,host(sK4)) = host(sK5)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f2725,plain,
( ~ spl14_286
| ~ spl14_163
| ~ spl14_191 ),
inference(avatar_split_clause,[],[f1570,f1566,f1353,f2722]) ).
fof(f2722,plain,
( spl14_286
<=> leq(s(host(sK9)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_286])]) ).
fof(f1353,plain,
( spl14_163
<=> ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
fof(f1566,plain,
( spl14_191
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
fof(f1570,plain,
( ~ leq(s(host(sK9)),host(sK5))
| ~ spl14_163
| ~ spl14_191 ),
inference(resolution,[],[f1567,f1354]) ).
fof(f1354,plain,
( ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK5)) )
| ~ spl14_163 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1567,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_191 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f2720,plain,
( spl14_285
| ~ spl14_75
| spl14_240 ),
inference(avatar_split_clause,[],[f2681,f2065,f689,f2717]) ).
fof(f2717,plain,
( spl14_285
<=> leq(host(sK3),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_285])]) ).
fof(f689,plain,
( spl14_75
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f2065,plain,
( spl14_240
<=> leq(host(sK5),host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_240])]) ).
fof(f2681,plain,
( leq(host(sK3),host(sK5))
| ~ spl14_75
| spl14_240 ),
inference(resolution,[],[f2067,f690]) ).
fof(f690,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f2067,plain,
( ~ leq(host(sK5),host(sK3))
| spl14_240 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f2715,plain,
( spl14_284
| ~ spl14_7
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f910,f876,f368,f2712]) ).
fof(f2712,plain,
( spl14_284
<=> elec_2 = index(status,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_284])]) ).
fof(f368,plain,
( spl14_7
<=> elec_2 = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f910,plain,
( elec_2 = index(status,host(sK3))
| ~ spl14_7
| ~ spl14_109 ),
inference(superposition,[],[f370,f878]) ).
fof(f370,plain,
( elec_2 = index(status,host(sK4))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f2708,plain,
( ~ spl14_283
| ~ spl14_26
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1526,f1513,f464,f2705]) ).
fof(f2705,plain,
( spl14_283
<=> leq(host(sK7),host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_283])]) ).
fof(f464,plain,
( spl14_26
<=> ! [X38,X37,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f1526,plain,
( ~ leq(host(sK7),host(sK9))
| ~ spl14_26
| ~ spl14_186 ),
inference(resolution,[],[f1515,f465]) ).
fof(f465,plain,
( ! [X38,X39,X37] :
( ~ elem(m_Ack(X39,X37),queue(host(X38)))
| ~ leq(host(X37),host(X39)) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1515,plain,
( elem(m_Ack(sK9,sK7),queue(host(sK9)))
| ~ spl14_186 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f2696,plain,
~ spl14_269,
inference(avatar_contradiction_clause,[],[f2695]) ).
fof(f2695,plain,
( $false
| ~ spl14_269 ),
inference(equality_resolution,[],[f2507]) ).
fof(f2507,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK3)
| ~ spl14_269 ),
inference(avatar_component_clause,[],[f2506]) ).
fof(f2656,plain,
( spl14_282
| ~ spl14_51
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1167,f1155,f589,f2654]) ).
fof(f2654,plain,
( spl14_282
<=> ! [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,[spl14_282])]) ).
fof(f1155,plain,
( spl14_140
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
fof(f1167,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) )
| ~ spl14_51
| ~ spl14_140 ),
inference(superposition,[],[f1156,f590]) ).
fof(f1156,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) )
| ~ spl14_140 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f2652,plain,
( spl14_281
| ~ spl14_50
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1166,f1155,f585,f2650]) ).
fof(f2650,plain,
( spl14_281
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_281])]) ).
fof(f1166,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl14_50
| ~ spl14_140 ),
inference(superposition,[],[f1156,f586]) ).
fof(f2648,plain,
( spl14_280
| ~ spl14_51
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1165,f1155,f589,f2646]) ).
fof(f2646,plain,
( spl14_280
<=> ! [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,[spl14_280])]) ).
fof(f1165,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) )
| ~ spl14_51
| ~ spl14_140 ),
inference(superposition,[],[f1156,f590]) ).
fof(f2644,plain,
( spl14_279
| ~ spl14_50
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1164,f1155,f585,f2642]) ).
fof(f2642,plain,
( spl14_279
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_279])]) ).
fof(f1164,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl14_50
| ~ spl14_140 ),
inference(superposition,[],[f1156,f586]) ).
fof(f2640,plain,
( spl14_278
| ~ spl14_51
| ~ spl14_139 ),
inference(avatar_split_clause,[],[f1161,f1151,f589,f2638]) ).
fof(f2638,plain,
( spl14_278
<=> ! [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,[spl14_278])]) ).
fof(f1151,plain,
( spl14_139
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
fof(f1161,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) )
| ~ spl14_51
| ~ spl14_139 ),
inference(superposition,[],[f1152,f590]) ).
fof(f1152,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) )
| ~ spl14_139 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f2636,plain,
( spl14_277
| ~ spl14_50
| ~ spl14_139 ),
inference(avatar_split_clause,[],[f1160,f1151,f585,f2634]) ).
fof(f2634,plain,
( spl14_277
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_277])]) ).
fof(f1160,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl14_50
| ~ spl14_139 ),
inference(superposition,[],[f1152,f586]) ).
fof(f2632,plain,
( spl14_276
| ~ spl14_51
| ~ spl14_139 ),
inference(avatar_split_clause,[],[f1159,f1151,f589,f2630]) ).
fof(f2630,plain,
( spl14_276
<=> ! [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,[spl14_276])]) ).
fof(f1159,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) )
| ~ spl14_51
| ~ spl14_139 ),
inference(superposition,[],[f1152,f590]) ).
fof(f2628,plain,
( spl14_275
| ~ spl14_50
| ~ spl14_139 ),
inference(avatar_split_clause,[],[f1158,f1151,f585,f2626]) ).
fof(f2626,plain,
( spl14_275
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_275])]) ).
fof(f1158,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl14_50
| ~ spl14_139 ),
inference(superposition,[],[f1152,f586]) ).
fof(f2604,plain,
( spl14_274
| ~ spl14_120
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1528,f1513,f989,f2601]) ).
fof(f2601,plain,
( spl14_274
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_274])]) ).
fof(f989,plain,
( spl14_120
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
fof(f1528,plain,
( setIn(sK9,pids)
| ~ spl14_120
| ~ spl14_186 ),
inference(resolution,[],[f1515,f990]) ).
fof(f990,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl14_120 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f2598,plain,
( spl14_273
| ~ spl14_89
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1118,f1104,f760,f2596]) ).
fof(f2596,plain,
( spl14_273
<=> ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK11(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK11(sK13(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_273])]) ).
fof(f760,plain,
( spl14_89
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f1104,plain,
( spl14_132
<=> ! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
fof(f1118,plain,
( ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK11(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK11(sK13(X0,X1)))
| sP1(X0,X1) )
| ~ spl14_89
| ~ spl14_132 ),
inference(resolution,[],[f1105,f761]) ).
fof(f761,plain,
( ! [X0,X1] :
( pidElem(sK13(X0,X1))
| sP1(X0,X1) )
| ~ spl14_89 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f1105,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK11(X0)) = X0
| m_Down(sK11(X0)) = X0 )
| ~ spl14_132 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f2594,plain,
( spl14_272
| ~ spl14_86
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1117,f1104,f747,f2592]) ).
fof(f2592,plain,
( spl14_272
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_272])]) ).
fof(f747,plain,
( spl14_86
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f1117,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_86
| ~ spl14_132 ),
inference(resolution,[],[f1105,f748]) ).
fof(f748,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP0(X0,X1) )
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f2522,plain,
( spl14_271
| ~ spl14_107
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1097,f1060,f868,f2520]) ).
fof(f2520,plain,
( spl14_271
<=> ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_271])]) ).
fof(f868,plain,
( spl14_107
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f1060,plain,
( spl14_131
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl14_107
| ~ spl14_131 ),
inference(resolution,[],[f1061,f869]) ).
fof(f869,plain,
( ! [X0,X1] :
( elem(sK13(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_131 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f2518,plain,
( spl14_270
| ~ spl14_106
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1096,f1060,f864,f2516]) ).
fof(f2516,plain,
( spl14_270
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_270])]) ).
fof(f864,plain,
( spl14_106
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f1096,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl14_106
| ~ spl14_131 ),
inference(resolution,[],[f1061,f865]) ).
fof(f865,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f2508,plain,
( spl14_269
| ~ spl14_81
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1598,f1517,f713,f2506]) ).
fof(f713,plain,
( spl14_81
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f1517,plain,
( spl14_187
<=> m_Ack(sK9,sK7) = m_Halt(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
fof(f1598,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK3)
| ~ spl14_81
| ~ spl14_187 ),
inference(superposition,[],[f714,f1519]) ).
fof(f1519,plain,
( m_Ack(sK9,sK7) = m_Halt(sK3)
| ~ spl14_187 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f714,plain,
( ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2)
| ~ spl14_81 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f2504,plain,
( spl14_268
| ~ spl14_107
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1088,f1056,f868,f2502]) ).
fof(f2502,plain,
( spl14_268
<=> ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_268])]) ).
fof(f1056,plain,
( spl14_130
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
fof(f1088,plain,
( ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl14_107
| ~ spl14_130 ),
inference(resolution,[],[f1057,f869]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_130 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f2500,plain,
( spl14_267
| ~ spl14_106
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1087,f1056,f864,f2498]) ).
fof(f2498,plain,
( spl14_267
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_267])]) ).
fof(f1087,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl14_106
| ~ spl14_130 ),
inference(resolution,[],[f1057,f865]) ).
fof(f2466,plain,
( spl14_266
| ~ spl14_129
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1100,f1060,f1052,f2464]) ).
fof(f2464,plain,
( spl14_266
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_266])]) ).
fof(f1052,plain,
( spl14_129
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f1100,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl14_129
| ~ spl14_131 ),
inference(superposition,[],[f1061,f1053]) ).
fof(f1053,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f2462,plain,
( spl14_265
| ~ spl14_113
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1081,f1052,f927,f2460]) ).
fof(f2460,plain,
( spl14_265
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_265])]) ).
fof(f927,plain,
( spl14_113
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_113
| ~ spl14_129 ),
inference(superposition,[],[f928,f1053]) ).
fof(f928,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f2414,plain,
( ~ spl14_264
| ~ spl14_18
| ~ spl14_154
| ~ spl14_191 ),
inference(avatar_split_clause,[],[f1580,f1566,f1242,f426,f2411]) ).
fof(f2411,plain,
( spl14_264
<=> leq(s(nbr_proc),host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_264])]) ).
fof(f426,plain,
( spl14_18
<=> host(sK8) = s(host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f1580,plain,
( ~ leq(s(nbr_proc),host(sK7))
| ~ spl14_18
| ~ spl14_154
| ~ spl14_191 ),
inference(forward_demodulation,[],[f1577,f1244]) ).
fof(f1577,plain,
( ~ leq(s(host(sK8)),host(sK7))
| ~ spl14_18
| ~ spl14_191 ),
inference(superposition,[],[f1567,f428]) ).
fof(f428,plain,
( host(sK8) = s(host(sK7))
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f2382,plain,
( spl14_263
| ~ spl14_38
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1116,f1104,f519,f2380]) ).
fof(f2380,plain,
( spl14_263
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK11(m_Down(X0)))
| m_Down(X0) = m_Down(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_263])]) ).
fof(f519,plain,
( spl14_38
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f1116,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK11(m_Down(X0)))
| m_Down(X0) = m_Down(sK11(m_Down(X0))) )
| ~ spl14_38
| ~ spl14_132 ),
inference(resolution,[],[f1105,f520]) ).
fof(f520,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f2378,plain,
( spl14_262
| ~ spl14_39
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1115,f1104,f523,f2376]) ).
fof(f2376,plain,
( spl14_262
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK11(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_262])]) ).
fof(f523,plain,
( spl14_39
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f1115,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK11(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK11(m_Halt(X0))) )
| ~ spl14_39
| ~ spl14_132 ),
inference(resolution,[],[f1105,f524]) ).
fof(f524,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f2374,plain,
( spl14_261
| ~ spl14_119
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1099,f1060,f985,f2372]) ).
fof(f2372,plain,
( spl14_261
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_261])]) ).
fof(f985,plain,
( spl14_119
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f1099,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl14_119
| ~ spl14_131 ),
inference(superposition,[],[f1061,f986]) ).
fof(f986,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl14_119 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f2370,plain,
( spl14_260
| ~ spl14_118
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1090,f1056,f981,f2368]) ).
fof(f2368,plain,
( spl14_260
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_260])]) ).
fof(f981,plain,
( spl14_118
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl14_118
| ~ spl14_130 ),
inference(superposition,[],[f1057,f982]) ).
fof(f982,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl14_118 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f2366,plain,
( spl14_259
| ~ spl14_118
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1073,f1052,f981,f2364]) ).
fof(f2364,plain,
( spl14_259
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_259])]) ).
fof(f1073,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_118
| ~ spl14_129 ),
inference(superposition,[],[f1053,f982]) ).
fof(f2315,plain,
( spl14_258
| ~ spl14_113
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1027,f985,f927,f2313]) ).
fof(f2313,plain,
( spl14_258
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_258])]) ).
fof(f1027,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl14_113
| ~ spl14_119 ),
inference(superposition,[],[f928,f986]) ).
fof(f2311,plain,
( ~ spl14_257
| ~ spl14_172 ),
inference(avatar_split_clause,[],[f1450,f1433,f2308]) ).
fof(f2308,plain,
( spl14_257
<=> host(sK5) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_257])]) ).
fof(f1433,plain,
( spl14_172
<=> ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
fof(f1450,plain,
( host(sK5) != host(sK9)
| ~ spl14_172 ),
inference(equality_resolution,[],[f1434]) ).
fof(f1434,plain,
( ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK5) )
| ~ spl14_172 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f2306,plain,
( spl14_256
| ~ spl14_112
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1019,f981,f923,f2304]) ).
fof(f2304,plain,
( spl14_256
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_256])]) ).
fof(f923,plain,
( spl14_112
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
fof(f1019,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_112
| ~ spl14_118 ),
inference(superposition,[],[f924,f982]) ).
fof(f924,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f2302,plain,
( spl14_255
| ~ spl14_104
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f959,f931,f856,f2300]) ).
fof(f2300,plain,
( spl14_255
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_255])]) ).
fof(f856,plain,
( spl14_104
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
fof(f931,plain,
( spl14_114
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_114])]) ).
fof(f959,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl14_104
| ~ spl14_114 ),
inference(resolution,[],[f932,f857]) ).
fof(f857,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl14_104 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f932,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f2250,plain,
( spl14_254
| ~ spl14_108
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1083,f1052,f872,f2248]) ).
fof(f2248,plain,
( spl14_254
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_254])]) ).
fof(f872,plain,
( spl14_108
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f1083,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_108
| ~ spl14_129 ),
inference(superposition,[],[f873,f1053]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f2246,plain,
( spl14_253
| ~ spl14_111
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1080,f1052,f885,f2244]) ).
fof(f2244,plain,
( spl14_253
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_253])]) ).
fof(f885,plain,
( spl14_111
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl14_111
| ~ spl14_129 ),
inference(superposition,[],[f886,f1053]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f2242,plain,
( spl14_252
| ~ spl14_104
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1069,f1048,f856,f2240]) ).
fof(f2240,plain,
( spl14_252
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_252])]) ).
fof(f1048,plain,
( spl14_128
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
fof(f1069,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl14_104
| ~ spl14_128 ),
inference(resolution,[],[f1049,f857]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl14_128 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f2222,plain,
( spl14_251
| ~ spl14_52
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1368,f1362,f593,f2219]) ).
fof(f2219,plain,
( spl14_251
<=> leq(s(s(zero)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_251])]) ).
fof(f593,plain,
( spl14_52
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f1362,plain,
( spl14_165
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
fof(f1368,plain,
( leq(s(s(zero)),nbr_proc)
| ~ spl14_52
| ~ spl14_165 ),
inference(resolution,[],[f1363,f594]) ).
fof(f594,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl14_52 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1363,plain,
( ! [X0] :
( ~ leq(X0,host(sK7))
| leq(s(X0),nbr_proc) )
| ~ spl14_165 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f2139,plain,
( spl14_250
| ~ spl14_85
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1082,f1052,f743,f2137]) ).
fof(f2137,plain,
( spl14_250
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_250])]) ).
fof(f743,plain,
( spl14_85
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_85
| ~ spl14_129 ),
inference(superposition,[],[f744,f1053]) ).
fof(f744,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f2135,plain,
( spl14_249
| ~ spl14_90
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1079,f1052,f764,f2133]) ).
fof(f2133,plain,
( spl14_249
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_249])]) ).
fof(f764,plain,
( spl14_90
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl14_90
| ~ spl14_129 ),
inference(superposition,[],[f765,f1053]) ).
fof(f765,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl14_90 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f2131,plain,
( spl14_248
| ~ spl14_75
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1067,f1048,f689,f2129]) ).
fof(f2129,plain,
( spl14_248
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_248])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl14_75
| ~ spl14_128 ),
inference(resolution,[],[f1049,f690]) ).
fof(f2127,plain,
( ~ spl14_247
| ~ spl14_34
| ~ spl14_154 ),
inference(avatar_split_clause,[],[f1264,f1242,f503,f2124]) ).
fof(f2124,plain,
( spl14_247
<=> elem(m_Down(sK8),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_247])]) ).
fof(f503,plain,
( spl14_34
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f1264,plain,
( ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ spl14_34
| ~ spl14_154 ),
inference(superposition,[],[f504,f1244]) ).
fof(f504,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f2122,plain,
( spl14_246
| ~ spl14_51
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f1035,f1001,f589,f2120]) ).
fof(f2120,plain,
( spl14_246
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_246])]) ).
fof(f1001,plain,
( spl14_123
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl14_51
| ~ spl14_123 ),
inference(superposition,[],[f1002,f590]) ).
fof(f1002,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f2118,plain,
( spl14_245
| ~ spl14_50
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f1034,f1001,f585,f2116]) ).
fof(f2116,plain,
( spl14_245
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_245])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl14_50
| ~ spl14_123 ),
inference(superposition,[],[f1002,f586]) ).
fof(f2114,plain,
( spl14_244
| ~ spl14_51
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1031,f997,f589,f2112]) ).
fof(f2112,plain,
( spl14_244
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_244])]) ).
fof(f997,plain,
( spl14_122
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f1031,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl14_51
| ~ spl14_122 ),
inference(superposition,[],[f998,f590]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f2110,plain,
( spl14_243
| ~ spl14_50
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1030,f997,f585,f2108]) ).
fof(f2108,plain,
( spl14_243
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_243])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl14_50
| ~ spl14_122 ),
inference(superposition,[],[f998,f586]) ).
fof(f2106,plain,
( spl14_242
| ~ spl14_104
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f970,f935,f856,f2104]) ).
fof(f2104,plain,
( spl14_242
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_242])]) ).
fof(f935,plain,
( spl14_115
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl14_104
| ~ spl14_115 ),
inference(resolution,[],[f936,f857]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl14_115 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f2102,plain,
( spl14_241
| ~ spl14_91
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f953,f931,f768,f2100]) ).
fof(f2100,plain,
( spl14_241
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_241])]) ).
fof(f953,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl14_91
| ~ spl14_114 ),
inference(resolution,[],[f932,f769]) ).
fof(f2068,plain,
( ~ spl14_240
| ~ spl14_26
| ~ spl14_148 ),
inference(avatar_split_clause,[],[f1214,f1207,f464,f2065]) ).
fof(f1207,plain,
( spl14_148
<=> elem(m_Ack(sK3,sK5),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
fof(f1214,plain,
( ~ leq(host(sK5),host(sK3))
| ~ spl14_26
| ~ spl14_148 ),
inference(resolution,[],[f1209,f465]) ).
fof(f1209,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK3)))
| ~ spl14_148 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f2016,plain,
( spl14_239
| ~ spl14_77
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1078,f1052,f697,f2014]) ).
fof(f2014,plain,
( spl14_239
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_239])]) ).
fof(f697,plain,
( spl14_77
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f1078,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl14_77
| ~ spl14_129 ),
inference(superposition,[],[f698,f1053]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f2012,plain,
( spl14_238
| ~ spl14_74
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1077,f1052,f685,f2010]) ).
fof(f2010,plain,
( spl14_238
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_238])]) ).
fof(f685,plain,
( spl14_74
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f1077,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl14_74
| ~ spl14_129 ),
inference(superposition,[],[f686,f1053]) ).
fof(f686,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f2008,plain,
( spl14_237
| ~ spl14_75
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f1032,f1001,f689,f2006]) ).
fof(f2006,plain,
( spl14_237
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_237])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) )
| ~ spl14_75
| ~ spl14_123 ),
inference(resolution,[],[f1002,f690]) ).
fof(f2004,plain,
( spl14_236
| ~ spl14_111
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1026,f985,f885,f2002]) ).
fof(f2002,plain,
( spl14_236
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_236])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl14_111
| ~ spl14_119 ),
inference(superposition,[],[f886,f986]) ).
fof(f2000,plain,
( spl14_235
| ~ spl14_90
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1025,f985,f764,f1998]) ).
fof(f1998,plain,
( spl14_235
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_235])]) ).
fof(f1025,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl14_90
| ~ spl14_119 ),
inference(superposition,[],[f765,f986]) ).
fof(f1995,plain,
( ~ spl14_234
| ~ spl14_45
| ~ spl14_147 ),
inference(avatar_split_clause,[],[f1213,f1203,f562,f1992]) ).
fof(f1992,plain,
( spl14_234
<=> leq(s(host(sK8)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_234])]) ).
fof(f562,plain,
( spl14_45
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f1203,plain,
( spl14_147
<=> ! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
fof(f1213,plain,
( ~ leq(s(host(sK8)),nbr_proc)
| ~ spl14_45
| ~ spl14_147 ),
inference(resolution,[],[f1204,f563]) ).
fof(f563,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1204,plain,
( ! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,nbr_proc) )
| ~ spl14_147 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1990,plain,
( spl14_233
| ~ spl14_110
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1018,f981,f881,f1988]) ).
fof(f1988,plain,
( spl14_233
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_233])]) ).
fof(f881,plain,
( spl14_110
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
fof(f1018,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_118 ),
inference(superposition,[],[f882,f982]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl14_110 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f1986,plain,
( spl14_232
| ~ spl14_87
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1017,f981,f751,f1984]) ).
fof(f1984,plain,
( spl14_232
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_232])]) ).
fof(f751,plain,
( spl14_87
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f1017,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl14_87
| ~ spl14_118 ),
inference(superposition,[],[f752,f982]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1982,plain,
( spl14_231
| ~ spl14_91
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f964,f935,f768,f1980]) ).
fof(f1980,plain,
( spl14_231
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_231])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl14_91
| ~ spl14_115 ),
inference(resolution,[],[f936,f769]) ).
fof(f1978,plain,
( spl14_230
| ~ spl14_52
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f958,f931,f593,f1976]) ).
fof(f1976,plain,
( spl14_230
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).
fof(f958,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl14_52
| ~ spl14_114 ),
inference(resolution,[],[f932,f594]) ).
fof(f1954,plain,
( spl14_229
| ~ spl14_75
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f962,f935,f689,f1952]) ).
fof(f1952,plain,
( spl14_229
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl14_75
| ~ spl14_115 ),
inference(resolution,[],[f936,f690]) ).
fof(f1911,plain,
( spl14_228
| ~ spl14_73
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1076,f1052,f681,f1909]) ).
fof(f1909,plain,
( spl14_228
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_228])]) ).
fof(f681,plain,
( spl14_73
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl14_73
| ~ spl14_129 ),
inference(superposition,[],[f682,f1053]) ).
fof(f682,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f1907,plain,
( spl14_227
| ~ spl14_77
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1024,f985,f697,f1905]) ).
fof(f1905,plain,
( spl14_227
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_227])]) ).
fof(f1024,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl14_77
| ~ spl14_119 ),
inference(superposition,[],[f698,f986]) ).
fof(f1903,plain,
( spl14_226
| ~ spl14_76
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1016,f981,f693,f1901]) ).
fof(f1901,plain,
( spl14_226
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_226])]) ).
fof(f693,plain,
( spl14_76
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f1016,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_76
| ~ spl14_118 ),
inference(superposition,[],[f694,f982]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f1899,plain,
( spl14_225
| ~ spl14_52
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f969,f935,f593,f1897]) ).
fof(f1897,plain,
( spl14_225
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_225])]) ).
fof(f969,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl14_52
| ~ spl14_115 ),
inference(resolution,[],[f936,f594]) ).
fof(f1892,plain,
( ~ spl14_223
| spl14_224
| ~ spl14_44
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f957,f931,f557,f1889,f1885]) ).
fof(f1885,plain,
( spl14_223
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_223])]) ).
fof(f1889,plain,
( spl14_224
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_224])]) ).
fof(f557,plain,
( spl14_44
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f957,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl14_44
| ~ spl14_114 ),
inference(resolution,[],[f932,f559]) ).
fof(f559,plain,
( leq(s(zero),nbr_proc)
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f1883,plain,
( spl14_222
| ~ spl14_46
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f954,f931,f566,f1881]) ).
fof(f1881,plain,
( spl14_222
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_222])]) ).
fof(f566,plain,
( spl14_46
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f954,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl14_46
| ~ spl14_114 ),
inference(resolution,[],[f932,f567]) ).
fof(f567,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1879,plain,
( spl14_221
| ~ spl14_75
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f901,f860,f689,f1877]) ).
fof(f1877,plain,
( spl14_221
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_221])]) ).
fof(f860,plain,
( spl14_105
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f901,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl14_75
| ~ spl14_105 ),
inference(resolution,[],[f861,f690]) ).
fof(f861,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1847,plain,
( ~ spl14_3
| ~ spl14_11
| ~ spl14_14
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1846,f1123,f404,f389,f348]) ).
fof(f348,plain,
( spl14_3
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f389,plain,
( spl14_11
<=> norm = index(status,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f404,plain,
( spl14_14
<=> host(sK6) = index(ldr,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f1123,plain,
( spl14_136
<=> ! [X8] :
( norm != index(status,host(X8))
| ~ setIn(X8,alive)
| host(X8) != index(ldr,host(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
fof(f1846,plain,
( ~ setIn(sK6,alive)
| ~ spl14_11
| ~ spl14_14
| ~ spl14_136 ),
inference(trivial_inequality_removal,[],[f1845]) ).
fof(f1845,plain,
( norm != norm
| ~ setIn(sK6,alive)
| ~ spl14_11
| ~ spl14_14
| ~ spl14_136 ),
inference(forward_demodulation,[],[f1844,f391]) ).
fof(f391,plain,
( norm = index(status,host(sK6))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1844,plain,
( ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| ~ spl14_14
| ~ spl14_136 ),
inference(trivial_inequality_removal,[],[f1843]) ).
fof(f1843,plain,
( host(sK6) != host(sK6)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| ~ spl14_14
| ~ spl14_136 ),
inference(superposition,[],[f1124,f406]) ).
fof(f406,plain,
( host(sK6) = index(ldr,host(sK6))
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f1124,plain,
( ! [X8] :
( host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| norm != index(status,host(X8)) )
| ~ spl14_136 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1841,plain,
( spl14_219
| ~ spl14_2
| spl14_220
| ~ spl14_4
| ~ spl14_10
| ~ spl14_13
| ~ spl14_18
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1138,f1120,f426,f399,f384,f353,f1839,f343,f1836]) ).
fof(f343,plain,
( spl14_2
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f353,plain,
( spl14_4
<=> leq(nbr_proc,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f384,plain,
( spl14_10
<=> elec_2 = index(status,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f399,plain,
( spl14_13
<=> index(pendack,host(sK9)) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f1120,plain,
( spl14_135
<=> ! [X9,X11,X10] :
( host(X10) != s(index(pendack,host(X11)))
| ~ setIn(X11,alive)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| elec_2 != index(status,host(X11))
| host(X9) != index(pendack,host(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_135])]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK8))
| host(X0) != host(sK8)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| host(X1) != host(sK7) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_18
| ~ spl14_135 ),
inference(trivial_inequality_removal,[],[f1137]) ).
fof(f1137,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ leq(nbr_proc,host(sK8))
| host(X0) != host(sK8)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| host(X1) != host(sK7) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_18
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1136,f386]) ).
fof(f386,plain,
( elec_2 = index(status,host(sK9))
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK8))
| host(X0) != host(sK8)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| elec_2 != index(status,host(sK9))
| host(X1) != host(sK7) )
| ~ spl14_13
| ~ spl14_18
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1135,f428]) ).
fof(f1135,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| ~ leq(nbr_proc,s(host(sK7)))
| elec_2 != index(status,host(sK9))
| host(X1) != host(sK7) )
| ~ spl14_13
| ~ spl14_18
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1127,f428]) ).
fof(f1127,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK7))
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| ~ leq(nbr_proc,s(host(sK7)))
| elec_2 != index(status,host(sK9))
| host(X1) != host(sK7) )
| ~ spl14_13
| ~ spl14_135 ),
inference(superposition,[],[f1121,f401]) ).
fof(f401,plain,
( index(pendack,host(sK9)) = host(sK7)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1121,plain,
( ! [X10,X11,X9] :
( host(X10) != s(index(pendack,host(X11)))
| ~ setIn(X11,alive)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| elec_2 != index(status,host(X11))
| host(X9) != index(pendack,host(X11)) )
| ~ spl14_135 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1832,plain,
( ~ spl14_116
| spl14_216
| spl14_217
| ~ spl14_218
| ~ spl14_7
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1134,f1120,f876,f415,f394,f368,f1829,f1826,f1823,f946]) ).
fof(f946,plain,
( spl14_116
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f1823,plain,
( spl14_216
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| host(X0) != host(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_216])]) ).
fof(f1826,plain,
( spl14_217
<=> ! [X1] :
( ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| host(X1) != host(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_217])]) ).
fof(f1829,plain,
( spl14_218
<=> leq(nbr_proc,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_218])]) ).
fof(f415,plain,
( spl14_16
<=> host(sK9) = s(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK9))
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| host(X1) != host(sK5) )
| ~ spl14_7
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(trivial_inequality_removal,[],[f1133]) ).
fof(f1133,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ leq(nbr_proc,host(sK9))
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| host(X1) != host(sK5) )
| ~ spl14_7
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1132,f370]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK9))
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1131,f417]) ).
fof(f417,plain,
( host(sK9) = s(host(sK5))
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1131,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1130,f878]) ).
fof(f1130,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1129,f878]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ setIn(sK3,alive)
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_16
| ~ spl14_109
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1128,f878]) ).
fof(f1128,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_16
| ~ spl14_135 ),
inference(forward_demodulation,[],[f1126,f417]) ).
fof(f1126,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl14_12
| ~ spl14_135 ),
inference(superposition,[],[f1121,f396]) ).
fof(f1767,plain,
( spl14_215
| ~ spl14_69
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1075,f1052,f662,f1765]) ).
fof(f1765,plain,
( spl14_215
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_215])]) ).
fof(f662,plain,
( spl14_69
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f1075,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl14_69
| ~ spl14_129 ),
inference(superposition,[],[f663,f1053]) ).
fof(f663,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1763,plain,
( spl14_214
| ~ spl14_69
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1023,f985,f662,f1761]) ).
fof(f1761,plain,
( spl14_214
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_214])]) ).
fof(f1023,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl14_69
| ~ spl14_119 ),
inference(superposition,[],[f663,f986]) ).
fof(f1759,plain,
( spl14_213
| ~ spl14_68
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1015,f981,f658,f1757]) ).
fof(f1757,plain,
( spl14_213
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_213])]) ).
fof(f658,plain,
( spl14_68
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f1015,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl14_68
| ~ spl14_118 ),
inference(superposition,[],[f659,f982]) ).
fof(f659,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl14_68 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f1755,plain,
( spl14_212
| ~ spl14_44
| ~ spl14_171 ),
inference(avatar_split_clause,[],[f1401,f1398,f557,f1752]) ).
fof(f1752,plain,
( spl14_212
<=> leq(zero,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_212])]) ).
fof(f1398,plain,
( spl14_171
<=> ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
fof(f1401,plain,
( leq(zero,host(sK7))
| ~ spl14_44
| ~ spl14_171 ),
inference(resolution,[],[f1399,f559]) ).
fof(f1399,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK7)) )
| ~ spl14_171 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1750,plain,
( spl14_211
| ~ spl14_44
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f968,f935,f557,f1748]) ).
fof(f1748,plain,
( spl14_211
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_211])]) ).
fof(f968,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl14_44
| ~ spl14_115 ),
inference(resolution,[],[f936,f559]) ).
fof(f1746,plain,
( spl14_210
| ~ spl14_46
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f965,f935,f566,f1744]) ).
fof(f1744,plain,
( spl14_210
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_210])]) ).
fof(f965,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl14_46
| ~ spl14_115 ),
inference(resolution,[],[f936,f567]) ).
fof(f1742,plain,
( spl14_209
| ~ spl14_90
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f916,f872,f764,f1740]) ).
fof(f1740,plain,
( spl14_209
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_209])]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl14_90
| ~ spl14_108 ),
inference(resolution,[],[f873,f765]) ).
fof(f1738,plain,
( spl14_208
| ~ spl14_91
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f899,f860,f768,f1736]) ).
fof(f1736,plain,
( spl14_208
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_208])]) ).
fof(f899,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl14_91
| ~ spl14_105 ),
inference(resolution,[],[f861,f769]) ).
fof(f1724,plain,
( spl14_207
| ~ spl14_3
| ~ spl14_11
| ~ spl14_14
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f979,f973,f404,f389,f348,f1722]) ).
fof(f1722,plain,
( spl14_207
<=> ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK6))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_207])]) ).
fof(f973,plain,
( spl14_117
<=> ! [X18,X17,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ setIn(sK6,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK6)) )
| ~ spl14_11
| ~ spl14_14
| ~ spl14_117 ),
inference(trivial_inequality_removal,[],[f978]) ).
fof(f978,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK6,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK6)) )
| ~ spl14_11
| ~ spl14_14
| ~ spl14_117 ),
inference(forward_demodulation,[],[f977,f391]) ).
fof(f977,plain,
( ! [X0,X1] :
( norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK6)) )
| ~ spl14_14
| ~ spl14_117 ),
inference(trivial_inequality_removal,[],[f976]) ).
fof(f976,plain,
( ! [X0,X1] :
( host(sK6) != host(sK6)
| norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK6)) )
| ~ spl14_14
| ~ spl14_117 ),
inference(superposition,[],[f974,f406]) ).
fof(f974,plain,
( ! [X18,X19,X17] :
( host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
| ~ spl14_117 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f1716,plain,
( spl14_206
| ~ spl14_66
| spl14_158 ),
inference(avatar_split_clause,[],[f1328,f1318,f650,f1713]) ).
fof(f1713,plain,
( spl14_206
<=> pidElem(m_Ack(sK3,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_206])]) ).
fof(f650,plain,
( spl14_66
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f1318,plain,
( spl14_158
<=> sP0(m_Ack(sK3,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
fof(f1328,plain,
( pidElem(m_Ack(sK3,sK5))
| ~ spl14_66
| spl14_158 ),
inference(resolution,[],[f1319,f651]) ).
fof(f651,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f1319,plain,
( ~ sP0(m_Ack(sK3,sK5),sK2)
| spl14_158 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1711,plain,
( spl14_205
| ~ spl14_85
| ~ spl14_90 ),
inference(avatar_split_clause,[],[f780,f764,f743,f1709]) ).
fof(f1709,plain,
( spl14_205
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_205])]) ).
fof(f780,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl14_85
| ~ spl14_90 ),
inference(resolution,[],[f765,f744]) ).
fof(f1707,plain,
( spl14_204
| ~ spl14_73
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f773,f739,f681,f1705]) ).
fof(f1705,plain,
( spl14_204
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_204])]) ).
fof(f739,plain,
( spl14_84
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f773,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl14_73
| ~ spl14_84 ),
inference(superposition,[],[f682,f740]) ).
fof(f740,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f1703,plain,
( spl14_203
| ~ spl14_74
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f772,f739,f685,f1701]) ).
fof(f1701,plain,
( spl14_203
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_203])]) ).
fof(f772,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl14_74
| ~ spl14_84 ),
inference(superposition,[],[f686,f740]) ).
fof(f1690,plain,
( ~ spl14_2
| spl14_202
| ~ spl14_10
| ~ spl14_13
| ~ spl14_95 ),
inference(avatar_split_clause,[],[f834,f814,f399,f384,f1688,f343]) ).
fof(f1688,plain,
( spl14_202
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK7))
| leq(host(X0),host(sK9))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_202])]) ).
fof(f814,plain,
( spl14_95
<=> ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
fof(f834,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK7))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_95 ),
inference(forward_demodulation,[],[f831,f401]) ).
fof(f831,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK9)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_95 ),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f829,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK9)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_95 ),
inference(superposition,[],[f815,f386]) ).
fof(f815,plain,
( ! [X21,X20] :
( elec_2 != index(status,host(X21))
| ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
| ~ spl14_95 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f1676,plain,
( spl14_201
| ~ spl14_109
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1672,f1669,f876,f1674]) ).
fof(f1674,plain,
( spl14_201
<=> ! [X0] :
( leq(host(X0),host(sK3))
| ~ leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_201])]) ).
fof(f1669,plain,
( spl14_200
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_200])]) ).
fof(f1672,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| ~ leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl14_109
| ~ spl14_200 ),
inference(forward_demodulation,[],[f1670,f878]) ).
fof(f1670,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl14_200 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1671,plain,
( ~ spl14_1
| spl14_200
| ~ spl14_7
| ~ spl14_12
| ~ spl14_95 ),
inference(avatar_split_clause,[],[f833,f814,f394,f368,f1669,f338]) ).
fof(f338,plain,
( spl14_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f833,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_12
| ~ spl14_95 ),
inference(forward_demodulation,[],[f832,f396]) ).
fof(f832,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_95 ),
inference(trivial_inequality_removal,[],[f828]) ).
fof(f828,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_95 ),
inference(superposition,[],[f815,f370]) ).
fof(f1659,plain,
( spl14_199
| ~ spl14_109
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1655,f1652,f876,f1657]) ).
fof(f1657,plain,
( spl14_199
<=> ! [X0,X1] :
( host(X1) != host(sK3)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_199])]) ).
fof(f1652,plain,
( spl14_198
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK4)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
fof(f1655,plain,
( ! [X0,X1] :
( host(X1) != host(sK3)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl14_109
| ~ spl14_198 ),
inference(forward_demodulation,[],[f1653,f878]) ).
fof(f1653,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK4)
| elec_2 != index(status,host(X0)) )
| ~ spl14_198 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1654,plain,
( ~ spl14_1
| spl14_198
| ~ spl14_7
| ~ spl14_94 ),
inference(avatar_split_clause,[],[f812,f794,f368,f1652,f338]) ).
fof(f794,plain,
( spl14_94
<=> ! [X22,X24,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).
fof(f812,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK4)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) )
| ~ spl14_7
| ~ spl14_94 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK4)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) )
| ~ spl14_7
| ~ spl14_94 ),
inference(superposition,[],[f795,f370]) ).
fof(f795,plain,
( ! [X24,X22,X23] :
( elec_2 != index(status,host(X24))
| ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
| ~ spl14_94 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f1642,plain,
( ~ spl14_2
| spl14_197
| ~ spl14_10
| ~ spl14_94 ),
inference(avatar_split_clause,[],[f811,f794,f384,f1640,f343]) ).
fof(f1640,plain,
( spl14_197
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK9)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_197])]) ).
fof(f811,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK9)
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive) )
| ~ spl14_10
| ~ spl14_94 ),
inference(trivial_inequality_removal,[],[f809]) ).
fof(f809,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK9)
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive) )
| ~ spl14_10
| ~ spl14_94 ),
inference(superposition,[],[f795,f386]) ).
fof(f1629,plain,
( ~ spl14_2
| spl14_196
| ~ spl14_10
| ~ spl14_13
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f807,f790,f399,f384,f1627,f343]) ).
fof(f1627,plain,
( spl14_196
<=> ! [X0] :
( leq(host(sK7),host(X0))
| leq(host(X0),host(sK9))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
fof(f790,plain,
( spl14_93
<=> ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
fof(f807,plain,
( ! [X0] :
( leq(host(sK7),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_93 ),
inference(forward_demodulation,[],[f804,f401]) ).
fof(f804,plain,
( ! [X0] :
( leq(index(pendack,host(sK9)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_93 ),
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK9)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK9)) )
| ~ spl14_10
| ~ spl14_93 ),
inference(superposition,[],[f791,f386]) ).
fof(f791,plain,
( ! [X26,X25] :
( elec_2 != index(status,host(X26))
| leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
| ~ spl14_93 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1616,plain,
( spl14_195
| ~ spl14_109
| ~ spl14_192 ),
inference(avatar_split_clause,[],[f1585,f1582,f876,f1614]) ).
fof(f1614,plain,
( spl14_195
<=> ! [X0] :
( leq(host(X0),host(sK3))
| leq(host(sK5),host(X0))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_195])]) ).
fof(f1582,plain,
( spl14_192
<=> ! [X0] :
( leq(host(sK5),host(X0))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
fof(f1585,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| leq(host(sK5),host(X0))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl14_109
| ~ spl14_192 ),
inference(forward_demodulation,[],[f1583,f878]) ).
fof(f1583,plain,
( ! [X0] :
( leq(host(sK5),host(X0))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl14_192 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1612,plain,
( ~ spl14_194
| spl14_186
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1591,f1517,f1513,f1609]) ).
fof(f1609,plain,
( spl14_194
<=> elem(m_Halt(sK3),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
fof(f1591,plain,
( ~ elem(m_Halt(sK3),queue(host(sK9)))
| spl14_186
| ~ spl14_187 ),
inference(forward_demodulation,[],[f1514,f1519]) ).
fof(f1514,plain,
( ~ elem(m_Ack(sK9,sK7),queue(host(sK9)))
| spl14_186 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f1590,plain,
( spl14_193
| ~ spl14_121
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1527,f1513,f993,f1587]) ).
fof(f1587,plain,
( spl14_193
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
fof(f993,plain,
( spl14_121
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
fof(f1527,plain,
( setIn(sK7,pids)
| ~ spl14_121
| ~ spl14_186 ),
inference(resolution,[],[f1515,f994]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl14_121 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f1584,plain,
( ~ spl14_1
| spl14_192
| ~ spl14_7
| ~ spl14_12
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f806,f790,f394,f368,f1582,f338]) ).
fof(f806,plain,
( ! [X0] :
( leq(host(sK5),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_12
| ~ spl14_93 ),
inference(forward_demodulation,[],[f805,f396]) ).
fof(f805,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_93 ),
inference(trivial_inequality_removal,[],[f801]) ).
fof(f801,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl14_7
| ~ spl14_93 ),
inference(superposition,[],[f791,f370]) ).
fof(f1568,plain,
( spl14_191
| ~ spl14_45
| ~ spl14_91 ),
inference(avatar_split_clause,[],[f782,f768,f562,f1566]) ).
fof(f782,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_45
| ~ spl14_91 ),
inference(resolution,[],[f769,f563]) ).
fof(f1563,plain,
( spl14_190
| ~ spl14_3
| ~ spl14_11
| ~ spl14_14
| ~ spl14_92 ),
inference(avatar_split_clause,[],[f800,f786,f404,f389,f348,f1561]) ).
fof(f1561,plain,
( spl14_190
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
fof(f786,plain,
( spl14_92
<=> ! [X29,X27,X28] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl14_11
| ~ spl14_14
| ~ spl14_92 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl14_11
| ~ spl14_14
| ~ spl14_92 ),
inference(forward_demodulation,[],[f798,f391]) ).
fof(f798,plain,
( ! [X0,X1] :
( norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl14_14
| ~ spl14_92 ),
inference(trivial_inequality_removal,[],[f797]) ).
fof(f797,plain,
( ! [X0,X1] :
( host(sK6) != host(sK6)
| norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl14_14
| ~ spl14_92 ),
inference(superposition,[],[f787,f406]) ).
fof(f787,plain,
( ! [X28,X29,X27] :
( host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
| ~ spl14_92 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1548,plain,
( spl14_189
| ~ spl14_45
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f723,f689,f562,f1546]) ).
fof(f1546,plain,
( spl14_189
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
fof(f723,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl14_45
| ~ spl14_75 ),
inference(resolution,[],[f690,f563]) ).
fof(f1525,plain,
( ~ spl14_188
| ~ spl14_34
| ~ spl14_152 ),
inference(avatar_split_clause,[],[f1305,f1234,f503,f1522]) ).
fof(f1522,plain,
( spl14_188
<=> elem(m_Down(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
fof(f1234,plain,
( spl14_152
<=> ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
fof(f1305,plain,
( ~ elem(m_Down(sK3),sK2)
| ~ spl14_34
| ~ spl14_152 ),
inference(resolution,[],[f1235,f504]) ).
fof(f1235,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl14_152 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1520,plain,
( spl14_186
| spl14_187
| ~ spl14_22
| ~ spl14_109
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1102,f1060,f876,f446,f1517,f1513]) ).
fof(f446,plain,
( spl14_22
<=> elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Halt(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f1102,plain,
( m_Ack(sK9,sK7) = m_Halt(sK3)
| elem(m_Ack(sK9,sK7),queue(host(sK9)))
| ~ spl14_22
| ~ spl14_109
| ~ spl14_131 ),
inference(forward_demodulation,[],[f1093,f878]) ).
fof(f1093,plain,
( m_Halt(sK4) = m_Ack(sK9,sK7)
| elem(m_Ack(sK9,sK7),queue(host(sK9)))
| ~ spl14_22
| ~ spl14_131 ),
inference(resolution,[],[f1061,f448]) ).
fof(f448,plain,
( elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Halt(sK4)))
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1511,plain,
( spl14_185
| ~ spl14_20
| ~ spl14_109
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1091,f1056,f876,f436,f1509]) ).
fof(f1509,plain,
( spl14_185
<=> ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
fof(f436,plain,
( spl14_20
<=> queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f1091,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_109
| ~ spl14_130 ),
inference(forward_demodulation,[],[f1089,f878]) ).
fof(f1089,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK4)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_130 ),
inference(superposition,[],[f1057,f438]) ).
fof(f438,plain,
( queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f1507,plain,
( spl14_184
| ~ spl14_20
| ~ spl14_109
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1084,f1052,f876,f436,f1505]) ).
fof(f1505,plain,
( spl14_184
<=> ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
fof(f1084,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl14_20
| ~ spl14_109
| ~ spl14_129 ),
inference(forward_demodulation,[],[f1072,f878]) ).
fof(f1072,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK4)),X0)
| ~ spl14_20
| ~ spl14_129 ),
inference(superposition,[],[f1053,f438]) ).
fof(f1503,plain,
( spl14_183
| ~ spl14_35
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f915,f868,f507,f1501]) ).
fof(f1501,plain,
( spl14_183
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f507,plain,
( spl14_35
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f915,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl14_35
| ~ spl14_107 ),
inference(resolution,[],[f869,f508]) ).
fof(f508,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1499,plain,
( spl14_182
| ~ spl14_47
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f778,f751,f570,f1497]) ).
fof(f1497,plain,
( spl14_182
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
fof(f570,plain,
( spl14_47
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f778,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl14_47
| ~ spl14_87 ),
inference(resolution,[],[f752,f571]) ).
fof(f571,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1478,plain,
( spl14_181
| ~ spl14_154
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1469,f1465,f1242,f1476]) ).
fof(f1476,plain,
( spl14_181
<=> ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f1465,plain,
( spl14_179
<=> ! [X0] :
( ~ leq(X0,host(sK8))
| host(sK8) = X0
| leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
fof(f1469,plain,
( ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK7)) )
| ~ spl14_154
| ~ spl14_179 ),
inference(forward_demodulation,[],[f1468,f1244]) ).
fof(f1468,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK8) = X0
| leq(X0,host(sK7)) )
| ~ spl14_154
| ~ spl14_179 ),
inference(forward_demodulation,[],[f1466,f1244]) ).
fof(f1466,plain,
( ! [X0] :
( ~ leq(X0,host(sK8))
| host(sK8) = X0
| leq(X0,host(sK7)) )
| ~ spl14_179 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1474,plain,
( ~ spl14_180
| spl14_56
| ~ spl14_154 ),
inference(avatar_split_clause,[],[f1257,f1242,f609,f1471]) ).
fof(f1471,plain,
( spl14_180
<=> leq(nbr_proc,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
fof(f609,plain,
( spl14_56
<=> leq(host(sK8),host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f1257,plain,
( ~ leq(nbr_proc,host(sK7))
| spl14_56
| ~ spl14_154 ),
inference(superposition,[],[f611,f1244]) ).
fof(f611,plain,
( ~ leq(host(sK8),host(sK7))
| spl14_56 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1467,plain,
( spl14_179
| ~ spl14_18
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1071,f1048,f426,f1465]) ).
fof(f1071,plain,
( ! [X0] :
( ~ leq(X0,host(sK8))
| host(sK8) = X0
| leq(X0,host(sK7)) )
| ~ spl14_18
| ~ spl14_128 ),
inference(superposition,[],[f1049,f428]) ).
fof(f1463,plain,
( spl14_178
| ~ spl14_16
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1070,f1048,f415,f1461]) ).
fof(f1461,plain,
( spl14_178
<=> ! [X0] :
( ~ leq(X0,host(sK9))
| host(sK9) = X0
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
fof(f1070,plain,
( ! [X0] :
( ~ leq(X0,host(sK9))
| host(sK9) = X0
| leq(X0,host(sK5)) )
| ~ spl14_16
| ~ spl14_128 ),
inference(superposition,[],[f1049,f417]) ).
fof(f1459,plain,
( spl14_176
| spl14_177
| ~ spl14_21
| ~ spl14_109
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1101,f1060,f876,f441,f1456,f1452]) ).
fof(f441,plain,
( spl14_21
<=> elem(m_Down(sK8),snoc(queue(host(sK9)),m_Halt(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f1101,plain,
( m_Down(sK8) = m_Halt(sK3)
| elem(m_Down(sK8),queue(host(sK9)))
| ~ spl14_21
| ~ spl14_109
| ~ spl14_131 ),
inference(forward_demodulation,[],[f1092,f878]) ).
fof(f1092,plain,
( m_Halt(sK4) = m_Down(sK8)
| elem(m_Down(sK8),queue(host(sK9)))
| ~ spl14_21
| ~ spl14_131 ),
inference(resolution,[],[f1061,f443]) ).
fof(f443,plain,
( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Halt(sK4)))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1449,plain,
( ~ spl14_174
| spl14_175
| ~ spl14_154
| ~ spl14_173 ),
inference(avatar_split_clause,[],[f1441,f1437,f1242,f1447,f1443]) ).
fof(f1443,plain,
( spl14_174
<=> nbr_proc = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
fof(f1447,plain,
( spl14_175
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
fof(f1437,plain,
( spl14_173
<=> ! [X0] :
( host(X0) != host(sK8)
| host(X0) != host(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
fof(f1441,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != host(sK7) )
| ~ spl14_154
| ~ spl14_173 ),
inference(inner_rewriting,[],[f1440]) ).
fof(f1440,plain,
( ! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK7) )
| ~ spl14_154
| ~ spl14_173 ),
inference(forward_demodulation,[],[f1438,f1244]) ).
fof(f1438,plain,
( ! [X0] :
( host(X0) != host(sK8)
| host(X0) != host(sK7) )
| ~ spl14_173 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1439,plain,
( spl14_173
| ~ spl14_18
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1064,f1044,f426,f1437]) ).
fof(f1044,plain,
( spl14_127
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
fof(f1064,plain,
( ! [X0] :
( host(X0) != host(sK8)
| host(X0) != host(sK7) )
| ~ spl14_18
| ~ spl14_127 ),
inference(superposition,[],[f1045,f428]) ).
fof(f1045,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1435,plain,
( spl14_172
| ~ spl14_16
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1063,f1044,f415,f1433]) ).
fof(f1063,plain,
( ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK5) )
| ~ spl14_16
| ~ spl14_127 ),
inference(superposition,[],[f1045,f417]) ).
fof(f1400,plain,
( spl14_171
| ~ spl14_154
| ~ spl14_170 ),
inference(avatar_split_clause,[],[f1396,f1393,f1242,f1398]) ).
fof(f1393,plain,
( spl14_170
<=> ! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f1396,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK7)) )
| ~ spl14_154
| ~ spl14_170 ),
inference(forward_demodulation,[],[f1394,f1244]) ).
fof(f1394,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK7)) )
| ~ spl14_170 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1395,plain,
( spl14_170
| ~ spl14_18
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f906,f860,f426,f1393]) ).
fof(f906,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK7)) )
| ~ spl14_18
| ~ spl14_105 ),
inference(superposition,[],[f861,f428]) ).
fof(f1391,plain,
( spl14_169
| ~ spl14_16
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f905,f860,f415,f1389]) ).
fof(f1389,plain,
( spl14_169
<=> ! [X0] :
( ~ leq(s(X0),host(sK9))
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
fof(f905,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK9))
| leq(X0,host(sK5)) )
| ~ spl14_16
| ~ spl14_105 ),
inference(superposition,[],[f861,f417]) ).
fof(f1382,plain,
( spl14_168
| ~ spl14_154
| ~ spl14_167 ),
inference(avatar_split_clause,[],[f1378,f1375,f1242,f1380]) ).
fof(f1375,plain,
( spl14_167
<=> ! [X0] :
( ~ leq(host(sK8),s(X0))
| leq(host(sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
fof(f1378,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK7),X0) )
| ~ spl14_154
| ~ spl14_167 ),
inference(forward_demodulation,[],[f1376,f1244]) ).
fof(f1376,plain,
( ! [X0] :
( ~ leq(host(sK8),s(X0))
| leq(host(sK7),X0) )
| ~ spl14_167 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1377,plain,
( spl14_167
| ~ spl14_18
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f904,f860,f426,f1375]) ).
fof(f904,plain,
( ! [X0] :
( ~ leq(host(sK8),s(X0))
| leq(host(sK7),X0) )
| ~ spl14_18
| ~ spl14_105 ),
inference(superposition,[],[f861,f428]) ).
fof(f1373,plain,
( spl14_166
| ~ spl14_16
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f903,f860,f415,f1371]) ).
fof(f1371,plain,
( spl14_166
<=> ! [X0] :
( ~ leq(host(sK9),s(X0))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
fof(f903,plain,
( ! [X0] :
( ~ leq(host(sK9),s(X0))
| leq(host(sK5),X0) )
| ~ spl14_16
| ~ spl14_105 ),
inference(superposition,[],[f861,f417]) ).
fof(f1364,plain,
( spl14_165
| ~ spl14_154
| ~ spl14_164 ),
inference(avatar_split_clause,[],[f1360,f1357,f1242,f1362]) ).
fof(f1357,plain,
( spl14_164
<=> ! [X0] :
( leq(s(X0),host(sK8))
| ~ leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
fof(f1360,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK7)) )
| ~ spl14_154
| ~ spl14_164 ),
inference(forward_demodulation,[],[f1358,f1244]) ).
fof(f1358,plain,
( ! [X0] :
( leq(s(X0),host(sK8))
| ~ leq(X0,host(sK7)) )
| ~ spl14_164 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1359,plain,
( spl14_164
| ~ spl14_18
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f897,f856,f426,f1357]) ).
fof(f897,plain,
( ! [X0] :
( leq(s(X0),host(sK8))
| ~ leq(X0,host(sK7)) )
| ~ spl14_18
| ~ spl14_104 ),
inference(superposition,[],[f857,f428]) ).
fof(f1355,plain,
( spl14_163
| ~ spl14_16
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f896,f856,f415,f1353]) ).
fof(f896,plain,
( ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK5)) )
| ~ spl14_16
| ~ spl14_104 ),
inference(superposition,[],[f857,f417]) ).
fof(f1341,plain,
( spl14_162
| ~ spl14_154
| ~ spl14_161 ),
inference(avatar_split_clause,[],[f1337,f1334,f1242,f1339]) ).
fof(f1339,plain,
( spl14_162
<=> ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_162])]) ).
fof(f1334,plain,
( spl14_161
<=> ! [X0] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f1337,plain,
( ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK7),X0) )
| ~ spl14_154
| ~ spl14_161 ),
inference(forward_demodulation,[],[f1335,f1244]) ).
fof(f1335,plain,
( ! [X0] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK7),X0) )
| ~ spl14_161 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1336,plain,
( spl14_161
| ~ spl14_18
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f895,f856,f426,f1334]) ).
fof(f895,plain,
( ! [X0] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK7),X0) )
| ~ spl14_18
| ~ spl14_104 ),
inference(superposition,[],[f857,f428]) ).
fof(f1332,plain,
( spl14_160
| ~ spl14_16
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f894,f856,f415,f1330]) ).
fof(f1330,plain,
( spl14_160
<=> ! [X0] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
fof(f894,plain,
( ! [X0] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK5),X0) )
| ~ spl14_16
| ~ spl14_104 ),
inference(superposition,[],[f857,f417]) ).
fof(f1326,plain,
( spl14_159
| ~ spl14_120
| ~ spl14_148 ),
inference(avatar_split_clause,[],[f1216,f1207,f989,f1323]) ).
fof(f1323,plain,
( spl14_159
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
fof(f1216,plain,
( setIn(sK3,pids)
| ~ spl14_120
| ~ spl14_148 ),
inference(resolution,[],[f1209,f990]) ).
fof(f1321,plain,
( spl14_158
| ~ spl14_142
| ~ spl14_20
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f779,f751,f436,f1175,f1318]) ).
fof(f1175,plain,
( spl14_142
<=> ordered(queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
fof(f779,plain,
( ~ ordered(queue(host(sK4)))
| sP0(m_Ack(sK3,sK5),sK2)
| ~ spl14_20
| ~ spl14_87 ),
inference(superposition,[],[f752,f438]) ).
fof(f1316,plain,
( spl14_157
| ~ spl14_2
| ~ spl14_10
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f546,f537,f384,f343,f1313]) ).
fof(f1313,plain,
( spl14_157
<=> sK9 = index(elid,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_157])]) ).
fof(f537,plain,
( spl14_42
<=> ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f546,plain,
( ~ setIn(sK9,alive)
| sK9 = index(elid,host(sK9))
| ~ spl14_10
| ~ spl14_42 ),
inference(trivial_inequality_removal,[],[f544]) ).
fof(f544,plain,
( elec_2 != elec_2
| ~ setIn(sK9,alive)
| sK9 = index(elid,host(sK9))
| ~ spl14_10
| ~ spl14_42 ),
inference(superposition,[],[f538,f386]) ).
fof(f538,plain,
( ! [X30] :
( elec_2 != index(status,host(X30))
| ~ setIn(X30,alive)
| index(elid,host(X30)) = X30 )
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1291,plain,
( spl14_156
| ~ spl14_109
| ~ spl14_149 ),
inference(avatar_split_clause,[],[f1224,f1220,f876,f1288]) ).
fof(f1288,plain,
( spl14_156
<=> m_Ack(sK3,sK5) = head(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
fof(f1220,plain,
( spl14_149
<=> m_Ack(sK3,sK5) = head(queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f1224,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK3)))
| ~ spl14_109
| ~ spl14_149 ),
inference(forward_demodulation,[],[f1222,f878]) ).
fof(f1222,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK4)))
| ~ spl14_149 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1254,plain,
( ~ spl14_46
| spl14_153 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl14_46
| spl14_153 ),
inference(resolution,[],[f1240,f567]) ).
fof(f1240,plain,
( ~ leq(host(sK8),nbr_proc)
| spl14_153 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1238,plain,
( spl14_153
<=> leq(host(sK8),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_153])]) ).
fof(f1250,plain,
( spl14_155
| ~ spl14_121
| ~ spl14_148 ),
inference(avatar_split_clause,[],[f1215,f1207,f993,f1247]) ).
fof(f1247,plain,
( spl14_155
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f1215,plain,
( setIn(sK5,pids)
| ~ spl14_121
| ~ spl14_148 ),
inference(resolution,[],[f1209,f994]) ).
fof(f1245,plain,
( ~ spl14_153
| spl14_154
| ~ spl14_4
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f960,f931,f353,f1242,f1238]) ).
fof(f960,plain,
( nbr_proc = host(sK8)
| ~ leq(host(sK8),nbr_proc)
| ~ spl14_4
| ~ spl14_114 ),
inference(resolution,[],[f932,f355]) ).
fof(f355,plain,
( leq(nbr_proc,host(sK8))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f1236,plain,
( spl14_152
| ~ spl14_20
| ~ spl14_109
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f920,f881,f876,f436,f1234]) ).
fof(f920,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_109
| ~ spl14_110 ),
inference(forward_demodulation,[],[f919,f878]) ).
fof(f919,plain,
( ! [X0] :
( elem(X0,queue(host(sK4)))
| ~ elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_110 ),
inference(superposition,[],[f882,f438]) ).
fof(f1232,plain,
( spl14_151
| ~ spl14_18
| ~ spl14_91 ),
inference(avatar_split_clause,[],[f784,f768,f426,f1230]) ).
fof(f1230,plain,
( spl14_151
<=> ! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,host(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
fof(f784,plain,
( ! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,host(sK7)) )
| ~ spl14_18
| ~ spl14_91 ),
inference(superposition,[],[f769,f428]) ).
fof(f1228,plain,
( spl14_150
| ~ spl14_16
| ~ spl14_91 ),
inference(avatar_split_clause,[],[f783,f768,f415,f1226]) ).
fof(f1226,plain,
( spl14_150
<=> ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f783,plain,
( ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,host(sK5)) )
| ~ spl14_16
| ~ spl14_91 ),
inference(superposition,[],[f769,f417]) ).
fof(f1223,plain,
( spl14_149
| ~ spl14_20
| ~ spl14_71 ),
inference(avatar_split_clause,[],[f720,f673,f436,f1220]) ).
fof(f673,plain,
( spl14_71
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f720,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK4)))
| ~ spl14_20
| ~ spl14_71 ),
inference(superposition,[],[f674,f438]) ).
fof(f674,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl14_71 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f1210,plain,
( spl14_148
| ~ spl14_109
| ~ spl14_146 ),
inference(avatar_split_clause,[],[f1201,f1197,f876,f1207]) ).
fof(f1197,plain,
( spl14_146
<=> elem(m_Ack(sK3,sK5),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
fof(f1201,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK3)))
| ~ spl14_109
| ~ spl14_146 ),
inference(forward_demodulation,[],[f1199,f878]) ).
fof(f1199,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK4)))
| ~ spl14_146 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1205,plain,
( spl14_147
| ~ spl14_4
| ~ spl14_115 ),
inference(avatar_split_clause,[],[f971,f935,f353,f1203]) ).
fof(f971,plain,
( ! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,nbr_proc) )
| ~ spl14_4
| ~ spl14_115 ),
inference(resolution,[],[f936,f355]) ).
fof(f1200,plain,
( spl14_146
| ~ spl14_20
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f671,f658,f436,f1197]) ).
fof(f671,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK4)))
| ~ spl14_20
| ~ spl14_68 ),
inference(superposition,[],[f659,f438]) ).
fof(f1195,plain,
( spl14_145
| ~ spl14_6
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f909,f876,f363,f1192]) ).
fof(f1192,plain,
( spl14_145
<=> sK3 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
fof(f363,plain,
( spl14_6
<=> sK3 = index(elid,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f909,plain,
( sK3 = index(elid,host(sK3))
| ~ spl14_6
| ~ spl14_109 ),
inference(superposition,[],[f365,f878]) ).
fof(f365,plain,
( sK3 = index(elid,host(sK4))
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1189,plain,
( spl14_144
| ~ spl14_109
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f1149,f1145,f876,f1186]) ).
fof(f1186,plain,
( spl14_144
<=> sK2 = tail(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f1145,plain,
( spl14_138
<=> sK2 = tail(queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
fof(f1149,plain,
( sK2 = tail(queue(host(sK3)))
| ~ spl14_109
| ~ spl14_138 ),
inference(forward_demodulation,[],[f1147,f878]) ).
fof(f1147,plain,
( sK2 = tail(queue(host(sK4)))
| ~ spl14_138 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1184,plain,
( ~ spl14_143
| ~ spl14_109
| spl14_142 ),
inference(avatar_split_clause,[],[f1179,f1175,f876,f1181]) ).
fof(f1181,plain,
( spl14_143
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
fof(f1179,plain,
( ~ ordered(queue(host(sK3)))
| ~ spl14_109
| spl14_142 ),
inference(forward_demodulation,[],[f1177,f878]) ).
fof(f1177,plain,
( ~ ordered(queue(host(sK4)))
| spl14_142 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1178,plain,
( spl14_141
| ~ spl14_142
| ~ spl14_20
| ~ spl14_76 ),
inference(avatar_split_clause,[],[f732,f693,f436,f1175,f1171]) ).
fof(f1171,plain,
( spl14_141
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
fof(f732,plain,
( ~ ordered(queue(host(sK4)))
| ordered(sK2)
| ~ spl14_20
| ~ spl14_76 ),
inference(superposition,[],[f694,f438]) ).
fof(f1157,plain,
spl14_140,
inference(avatar_split_clause,[],[f286,f1155]) ).
fof(f286,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(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[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(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f1153,plain,
spl14_139,
inference(avatar_split_clause,[],[f277,f1151]) ).
fof(f277,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(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[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(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f1148,plain,
( spl14_138
| ~ spl14_20
| ~ spl14_72 ),
inference(avatar_split_clause,[],[f721,f677,f436,f1145]) ).
fof(f677,plain,
( spl14_72
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f721,plain,
( sK2 = tail(queue(host(sK4)))
| ~ spl14_20
| ~ spl14_72 ),
inference(superposition,[],[f678,f438]) ).
fof(f678,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl14_72 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f1142,plain,
spl14_137,
inference(avatar_split_clause,[],[f309,f1140]) ).
fof(f1140,plain,
( spl14_137
<=> ! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f309,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1125,plain,
( spl14_135
| spl14_136 ),
inference(avatar_split_clause,[],[f199,f1123,f1120]) ).
fof(f199,plain,
! [X10,X11,X8,X9] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(sK8) = s(index(pendack,host(sK9)))
& index(pendack,host(sK9)) = host(sK7)
& elec_2 = index(status,host(sK9))
& elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Halt(sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK9)),m_Halt(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK9))))
& setIn(sK9,alive)
& host(sK4) != host(sK9)
& s(index(pendack,host(sK4))) = host(sK9)
& ~ leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ( host(X14) != sK10(X14,X15)
& ~ setIn(sK10(X14,X15),index(down,host(X15)))
& leq(s(zero),sK10(X14,X15))
& ~ leq(host(X15),sK10(X14,X15)) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f146,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(X2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X2) != host(X7)
& host(X7) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) )
=> ( ? [X7,X6,X5,X4] :
( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X7) != host(sK4)
& host(X7) = s(index(pendack,host(sK4))) )
& ~ leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X7,X6,X5,X4] :
( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X7) != host(sK4)
& host(X7) = s(index(pendack,host(sK4))) )
=> ( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(sK8) = s(index(pendack,host(sK9)))
& index(pendack,host(sK9)) = host(sK7)
& elec_2 = index(status,host(sK9))
& elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Halt(sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK9)),m_Halt(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK9))))
& setIn(sK9,alive)
& host(sK4) != host(sK9)
& s(index(pendack,host(sK4))) = host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X14,X15] :
( ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) )
=> ( host(X14) != sK10(X14,X15)
& ~ setIn(sK10(X14,X15),index(down,host(X15)))
& leq(s(zero),sK10(X14,X15))
& ~ leq(host(X15),sK10(X14,X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(X2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X2) != host(X7)
& host(X7) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& setIn(X42,alive)
& s(index(pendack,host(X45))) = host(X44)
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& setIn(X42,alive)
& s(index(pendack,host(X45))) = host(X44)
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Ack(X7,X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& setIn(X7,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10,X11] :
( ( elec_1 = index(status,host(X11))
& host(X11) = host(X9)
& nbr_proc = host(X11)
& elem(m_Down(X10),queue(host(X11)))
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( host(X10) = X12
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X8)))
& setIn(X8,alive) ) )
& ! [X13,X14,X15] :
( ( elec_2 = index(status,host(X15))
& elem(m_Halt(X15),queue(host(X14)))
& setIn(X15,alive)
& ~ leq(index(pendack,host(X15)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X16,X17] :
( ( elec_2 = index(status,host(X17))
& elec_2 = index(status,host(X16))
& setIn(X17,alive)
& setIn(X16,alive)
& ~ leq(host(X16),host(X17)) )
=> ~ leq(index(pendack,host(X16)),index(pendack,host(X17))) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& elec_2 = index(status,host(X18))
& host(X19) = host(X20)
& setIn(X20,alive)
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X21,X22] :
( ( elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X21))
& setIn(X22,alive)
& setIn(X21,alive)
& ~ leq(host(X21),host(X22)) )
=> leq(index(pendack,host(X22)),host(X21)) )
& ! [X23,X24,X25] :
( ( host(X23) = host(X24)
& elem(m_Down(X24),queue(host(X25)))
& setIn(X25,alive) )
=> ~ ( norm = index(status,host(X23))
& host(X23) = index(ldr,host(X23))
& setIn(X23,alive) ) )
& ! [X26] :
( ( setIn(X26,alive)
& ( elec_2 = index(status,host(X26))
| elec_1 = index(status,host(X26)) ) )
=> index(elid,host(X26)) = X26 )
& ! [X27,X28] :
( ( elec_1 = index(status,host(X28))
& setIn(X28,alive) )
=> ~ elem(m_Ack(X28,X27),queue(host(X28))) )
& ! [X29,X30] :
( ( elem(m_Ack(X30,X29),queue(host(X30)))
& setIn(X30,alive) )
=> leq(host(X29),index(pendack,host(X30))) )
& ! [X31,X32] :
( ( host(X31) = host(X32)
& X31 != X32 )
=> ( ~ setIn(X32,alive)
| ~ setIn(X31,alive) ) )
& ! [X33,X34,X35] :
( elem(m_Ack(X35,X33),queue(host(X34)))
=> ~ leq(host(X33),host(X35)) )
& ! [X36,X37] :
( elem(m_Halt(X37),queue(host(X36)))
=> ~ leq(host(X36),host(X37)) )
& ! [X38,X39] :
( elem(m_Down(X39),queue(host(X38)))
=> host(X38) != host(X39) )
& ! [X40,X41] :
( elem(m_Ldr(X41),queue(host(X40)))
=> ~ leq(host(X40),host(X41)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42,X43,X44,X45] :
( s(index(pendack,host(X2))) = host(X45)
=> ( host(X2) != host(X45)
=> ( ( s(index(pendack,host(X45))) = host(X44)
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive) )
=> ~ ( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& setIn(X42,alive) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6,X17,X18,X19] :
( s(index(pendack,host(X4))) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Halt(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Halt(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6,X17,X18,X19] :
( s(index(pendack,host(X4))) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Halt(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Halt(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f1114,plain,
spl14_134,
inference(avatar_split_clause,[],[f290,f1112]) ).
fof(f1112,plain,
( spl14_134
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_134])]) ).
fof(f290,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1110,plain,
spl14_133,
inference(avatar_split_clause,[],[f281,f1108]) ).
fof(f1108,plain,
( spl14_133
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
fof(f281,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1106,plain,
spl14_132,
inference(avatar_split_clause,[],[f240,f1104]) ).
fof(f240,plain,
! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(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(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1062,plain,
spl14_131,
inference(avatar_split_clause,[],[f313,f1060]) ).
fof(f313,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1058,plain,
spl14_130,
inference(avatar_split_clause,[],[f310,f1056]) ).
fof(f310,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f1054,plain,
spl14_129,
inference(avatar_split_clause,[],[f306,f1052]) ).
fof(f306,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f1050,plain,
spl14_128,
inference(avatar_split_clause,[],[f295,f1048]) ).
fof(f295,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f1046,plain,
spl14_127,
inference(avatar_split_clause,[],[f262,f1044]) ).
fof(f262,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f1042,plain,
( ~ spl14_126
| spl14_70
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f914,f876,f667,f1039]) ).
fof(f1039,plain,
( spl14_126
<=> q_nil = queue(host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
fof(f667,plain,
( spl14_70
<=> q_nil = queue(host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f914,plain,
( q_nil != queue(host(sK3))
| spl14_70
| ~ spl14_109 ),
inference(superposition,[],[f669,f878]) ).
fof(f669,plain,
( q_nil != queue(host(sK4))
| spl14_70 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f1011,plain,
spl14_125,
inference(avatar_split_clause,[],[f317,f1009]) ).
fof(f1009,plain,
( spl14_125
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f1007,plain,
spl14_124,
inference(avatar_split_clause,[],[f316,f1005]) ).
fof(f1005,plain,
( spl14_124
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f1003,plain,
spl14_123,
inference(avatar_split_clause,[],[f291,f1001]) ).
fof(f291,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f999,plain,
spl14_122,
inference(avatar_split_clause,[],[f282,f997]) ).
fof(f282,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f995,plain,
spl14_121,
inference(avatar_split_clause,[],[f264,f993]) ).
fof(f264,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f991,plain,
spl14_120,
inference(avatar_split_clause,[],[f263,f989]) ).
fof(f263,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f987,plain,
spl14_119,
inference(avatar_split_clause,[],[f239,f985]) ).
fof(f239,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f983,plain,
spl14_118,
inference(avatar_split_clause,[],[f238,f981]) ).
fof(f238,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f975,plain,
spl14_117,
inference(avatar_split_clause,[],[f194,f973]) ).
fof(f194,plain,
! [X18,X19,X17] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f949,plain,
( spl14_116
| ~ spl14_1
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f908,f876,f338,f946]) ).
fof(f908,plain,
( setIn(sK3,alive)
| ~ spl14_1
| ~ spl14_109 ),
inference(superposition,[],[f340,f878]) ).
fof(f340,plain,
( setIn(sK4,alive)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f937,plain,
spl14_115,
inference(avatar_split_clause,[],[f308,f935]) ).
fof(f308,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f933,plain,
spl14_114,
inference(avatar_split_clause,[],[f298,f931]) ).
fof(f298,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f929,plain,
spl14_113,
inference(avatar_split_clause,[],[f294,f927]) ).
fof(f294,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f925,plain,
spl14_112,
inference(avatar_split_clause,[],[f285,f923]) ).
fof(f285,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f887,plain,
spl14_111,
inference(avatar_split_clause,[],[f315,f885]) ).
fof(f315,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f883,plain,
spl14_110,
inference(avatar_split_clause,[],[f312,f881]) ).
fof(f312,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f879,plain,
( ~ spl14_1
| spl14_109
| ~ spl14_6
| ~ spl14_7
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f548,f537,f368,f363,f876,f338]) ).
fof(f548,plain,
( sK3 = sK4
| ~ setIn(sK4,alive)
| ~ spl14_6
| ~ spl14_7
| ~ spl14_42 ),
inference(forward_demodulation,[],[f547,f365]) ).
fof(f547,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl14_7
| ~ spl14_42 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f543,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl14_7
| ~ spl14_42 ),
inference(superposition,[],[f538,f370]) ).
fof(f874,plain,
spl14_108,
inference(avatar_split_clause,[],[f307,f872]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f870,plain,
spl14_107,
inference(avatar_split_clause,[],[f287,f868]) ).
fof(f287,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f866,plain,
spl14_106,
inference(avatar_split_clause,[],[f278,f864]) ).
fof(f278,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f862,plain,
spl14_105,
inference(avatar_split_clause,[],[f276,f860]) ).
fof(f276,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f858,plain,
spl14_104,
inference(avatar_split_clause,[],[f275,f856]) ).
fof(f275,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f854,plain,
spl14_103,
inference(avatar_split_clause,[],[f273,f852]) ).
fof(f852,plain,
( spl14_103
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
fof(f273,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/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f850,plain,
spl14_102,
inference(avatar_split_clause,[],[f271,f848]) ).
fof(f848,plain,
( spl14_102
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
fof(f271,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/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f846,plain,
spl14_101,
inference(avatar_split_clause,[],[f269,f844]) ).
fof(f844,plain,
( spl14_101
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
fof(f269,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f842,plain,
spl14_100,
inference(avatar_split_clause,[],[f267,f840]) ).
fof(f840,plain,
( spl14_100
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).
fof(f267,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f838,plain,
spl14_99,
inference(avatar_split_clause,[],[f265,f836]) ).
fof(f836,plain,
( spl14_99
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
fof(f265,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f827,plain,
( spl14_96
| ~ spl14_97
| spl14_98 ),
inference(avatar_split_clause,[],[f335,f825,f821,f818]) ).
fof(f818,plain,
( spl14_96
<=> ! [X14,X15] :
( nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X14,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_96])]) ).
fof(f821,plain,
( spl14_97
<=> elec_1 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_97])]) ).
fof(f825,plain,
( spl14_98
<=> ! [X13,X12] :
( ~ elem(m_Down(X13),queue(host(X12)))
| nbr_proc != host(X13)
| ~ setIn(X12,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f335,plain,
! [X14,X15,X12,X13] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X13)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X14,X15)) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,plain,
! [X14,X15,X12,X13] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ~ leq(host(X15),sK10(X14,X15)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f816,plain,
spl14_95,
inference(avatar_split_clause,[],[f193,f814]) ).
fof(f193,plain,
! [X21,X20] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f796,plain,
spl14_94,
inference(avatar_split_clause,[],[f192,f794]) ).
fof(f192,plain,
! [X24,X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f792,plain,
spl14_93,
inference(avatar_split_clause,[],[f191,f790]) ).
fof(f191,plain,
! [X26,X25] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f788,plain,
spl14_92,
inference(avatar_split_clause,[],[f190,f786]) ).
fof(f190,plain,
! [X28,X29,X27] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f770,plain,
spl14_91,
inference(avatar_split_clause,[],[f297,f768]) ).
fof(f297,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f766,plain,
spl14_90,
inference(avatar_split_clause,[],[f293,f764]) ).
fof(f293,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f762,plain,
spl14_89,
inference(avatar_split_clause,[],[f289,f760]) ).
fof(f289,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f758,plain,
( spl14_88
| spl14_56
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f725,f689,f609,f755]) ).
fof(f755,plain,
( spl14_88
<=> leq(host(sK7),host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f725,plain,
( leq(host(sK7),host(sK8))
| spl14_56
| ~ spl14_75 ),
inference(resolution,[],[f690,f611]) ).
fof(f753,plain,
spl14_87,
inference(avatar_split_clause,[],[f284,f751]) ).
fof(f284,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f749,plain,
spl14_86,
inference(avatar_split_clause,[],[f280,f747]) ).
fof(f280,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f745,plain,
spl14_85,
inference(avatar_split_clause,[],[f260,f743]) ).
fof(f260,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f741,plain,
spl14_84,
inference(avatar_split_clause,[],[f235,f739]) ).
fof(f235,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f737,plain,
( spl14_83
| spl14_48
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f724,f689,f576,f734]) ).
fof(f734,plain,
( spl14_83
<=> leq(host(sK5),host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f576,plain,
( spl14_48
<=> leq(host(sK9),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f724,plain,
( leq(host(sK5),host(sK9))
| spl14_48
| ~ spl14_75 ),
inference(resolution,[],[f690,f578]) ).
fof(f578,plain,
( ~ leq(host(sK9),host(sK5))
| spl14_48 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f719,plain,
spl14_82,
inference(avatar_split_clause,[],[f305,f717]) ).
fof(f717,plain,
( spl14_82
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f305,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f715,plain,
spl14_81,
inference(avatar_split_clause,[],[f304,f713]) ).
fof(f304,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f711,plain,
spl14_80,
inference(avatar_split_clause,[],[f303,f709]) ).
fof(f709,plain,
( spl14_80
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f303,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f707,plain,
spl14_79,
inference(avatar_split_clause,[],[f302,f705]) ).
fof(f705,plain,
( spl14_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f302,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f703,plain,
spl14_78,
inference(avatar_split_clause,[],[f301,f701]) ).
fof(f701,plain,
( spl14_78
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f301,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f699,plain,
spl14_77,
inference(avatar_split_clause,[],[f292,f697]) ).
fof(f292,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f695,plain,
spl14_76,
inference(avatar_split_clause,[],[f283,f693]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f691,plain,
spl14_75,
inference(avatar_split_clause,[],[f259,f689]) ).
fof(f259,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f687,plain,
spl14_74,
inference(avatar_split_clause,[],[f258,f685]) ).
fof(f258,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f683,plain,
spl14_73,
inference(avatar_split_clause,[],[f257,f681]) ).
fof(f257,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f679,plain,
spl14_72,
inference(avatar_split_clause,[],[f256,f677]) ).
fof(f256,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f675,plain,
spl14_71,
inference(avatar_split_clause,[],[f255,f673]) ).
fof(f255,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f670,plain,
( ~ spl14_70
| ~ spl14_20
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f665,f642,f436,f667]) ).
fof(f642,plain,
( spl14_64
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f665,plain,
( q_nil != queue(host(sK4))
| ~ spl14_20
| ~ spl14_64 ),
inference(superposition,[],[f643,f438]) ).
fof(f643,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl14_64 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f664,plain,
spl14_69,
inference(avatar_split_clause,[],[f330,f662]) ).
fof(f330,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f660,plain,
spl14_68,
inference(avatar_split_clause,[],[f329,f658]) ).
fof(f329,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f656,plain,
spl14_67,
inference(avatar_split_clause,[],[f288,f654]) ).
fof(f654,plain,
( spl14_67
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f288,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f652,plain,
spl14_66,
inference(avatar_split_clause,[],[f279,f650]) ).
fof(f279,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f648,plain,
spl14_65,
inference(avatar_split_clause,[],[f254,f646]) ).
fof(f646,plain,
( spl14_65
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f254,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f644,plain,
spl14_64,
inference(avatar_split_clause,[],[f253,f642]) ).
fof(f253,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f640,plain,
spl14_63,
inference(avatar_split_clause,[],[f252,f638]) ).
fof(f638,plain,
( spl14_63
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f252,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f636,plain,
spl14_62,
inference(avatar_split_clause,[],[f251,f634]) ).
fof(f634,plain,
( spl14_62
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f251,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f632,plain,
spl14_61,
inference(avatar_split_clause,[],[f250,f630]) ).
fof(f630,plain,
( spl14_61
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f250,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f628,plain,
spl14_60,
inference(avatar_split_clause,[],[f249,f626]) ).
fof(f249,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f624,plain,
spl14_59,
inference(avatar_split_clause,[],[f248,f622]) ).
fof(f622,plain,
( spl14_59
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f248,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f620,plain,
spl14_58,
inference(avatar_split_clause,[],[f247,f618]) ).
fof(f618,plain,
( spl14_58
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f247,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f616,plain,
spl14_57,
inference(avatar_split_clause,[],[f246,f614]) ).
fof(f614,plain,
( spl14_57
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f246,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f612,plain,
( ~ spl14_56
| ~ spl14_18
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f574,f562,f426,f609]) ).
fof(f574,plain,
( ~ leq(host(sK8),host(sK7))
| ~ spl14_18
| ~ spl14_45 ),
inference(superposition,[],[f563,f428]) ).
fof(f607,plain,
spl14_55,
inference(avatar_split_clause,[],[f245,f605]) ).
fof(f605,plain,
( spl14_55
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f245,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f603,plain,
spl14_54,
inference(avatar_split_clause,[],[f244,f601]) ).
fof(f601,plain,
( spl14_54
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f244,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f599,plain,
spl14_53,
inference(avatar_split_clause,[],[f243,f597]) ).
fof(f597,plain,
( spl14_53
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f243,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f595,plain,
spl14_52,
inference(avatar_split_clause,[],[f234,f593]) ).
fof(f234,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f591,plain,
spl14_51,
inference(avatar_split_clause,[],[f233,f589]) ).
fof(f233,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f587,plain,
spl14_50,
inference(avatar_split_clause,[],[f232,f585]) ).
fof(f232,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f583,plain,
spl14_49,
inference(avatar_split_clause,[],[f186,f581]) ).
fof(f581,plain,
( spl14_49
<=> ! [X34,X33] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f186,plain,
! [X34,X33] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f579,plain,
( ~ spl14_48
| ~ spl14_16
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f573,f562,f415,f576]) ).
fof(f573,plain,
( ~ leq(host(sK9),host(sK5))
| ~ spl14_16
| ~ spl14_45 ),
inference(superposition,[],[f563,f417]) ).
fof(f572,plain,
spl14_47,
inference(avatar_split_clause,[],[f336,f570]) ).
fof(f336,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f237,f235]) ).
fof(f237,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f568,plain,
spl14_46,
inference(avatar_split_clause,[],[f231,f566]) ).
fof(f231,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f564,plain,
spl14_45,
inference(avatar_split_clause,[],[f230,f562]) ).
fof(f230,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f560,plain,
spl14_44,
inference(avatar_split_clause,[],[f226,f557]) ).
fof(f226,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f552,plain,
spl14_43,
inference(avatar_split_clause,[],[f187,f550]) ).
fof(f550,plain,
( spl14_43
<=> ! [X32,X31] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f187,plain,
! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f539,plain,
spl14_42,
inference(avatar_split_clause,[],[f189,f537]) ).
fof(f189,plain,
! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X30)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f535,plain,
spl14_41,
inference(avatar_split_clause,[],[f188,f533]) ).
fof(f533,plain,
( spl14_41
<=> ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| elec_1 != index(status,host(X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f188,plain,
! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| elec_1 != index(status,host(X30)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f529,plain,
spl14_40,
inference(avatar_split_clause,[],[f185,f527]) ).
fof(f527,plain,
( spl14_40
<=> ! [X36,X35] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f185,plain,
! [X36,X35] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f525,plain,
spl14_39,
inference(avatar_split_clause,[],[f319,f523]) ).
fof(f319,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f521,plain,
spl14_38,
inference(avatar_split_clause,[],[f318,f519]) ).
fof(f318,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f517,plain,
spl14_37,
inference(avatar_split_clause,[],[f229,f515]) ).
fof(f515,plain,
( spl14_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f229,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f513,plain,
spl14_36,
inference(avatar_split_clause,[],[f228,f511]) ).
fof(f511,plain,
( spl14_36
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f228,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f509,plain,
spl14_35,
inference(avatar_split_clause,[],[f227,f507]) ).
fof(f227,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f505,plain,
( spl14_34
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f462,f455,f503]) ).
fof(f455,plain,
( spl14_24
<=> ! [X43,X42] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f462,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_24 ),
inference(equality_resolution,[],[f456]) ).
fof(f456,plain,
( ! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f501,plain,
~ spl14_33,
inference(avatar_split_clause,[],[f225,f498]) ).
fof(f498,plain,
( spl14_33
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f225,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f496,plain,
~ spl14_32,
inference(avatar_split_clause,[],[f224,f493]) ).
fof(f493,plain,
( spl14_32
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f224,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f491,plain,
~ spl14_31,
inference(avatar_split_clause,[],[f223,f488]) ).
fof(f488,plain,
( spl14_31
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f223,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f486,plain,
~ spl14_30,
inference(avatar_split_clause,[],[f222,f483]) ).
fof(f483,plain,
( spl14_30
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f222,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
fof(f481,plain,
~ spl14_29,
inference(avatar_split_clause,[],[f221,f478]) ).
fof(f478,plain,
( spl14_29
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f221,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f476,plain,
~ spl14_28,
inference(avatar_split_clause,[],[f220,f473]) ).
fof(f473,plain,
( spl14_28
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f220,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f471,plain,
~ spl14_27,
inference(avatar_split_clause,[],[f219,f468]) ).
fof(f468,plain,
( spl14_27
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f219,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f466,plain,
spl14_26,
inference(avatar_split_clause,[],[f184,f464]) ).
fof(f184,plain,
! [X38,X39,X37] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f461,plain,
spl14_25,
inference(avatar_split_clause,[],[f183,f459]) ).
fof(f459,plain,
( spl14_25
<=> ! [X41,X40] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f183,plain,
! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f457,plain,
spl14_24,
inference(avatar_split_clause,[],[f182,f455]) ).
fof(f182,plain,
! [X42,X43] :
( host(X43) != host(X42)
| ~ elem(m_Down(X43),queue(host(X42))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f453,plain,
spl14_23,
inference(avatar_split_clause,[],[f181,f451]) ).
fof(f451,plain,
( spl14_23
<=> ! [X45,X44] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f181,plain,
! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f449,plain,
spl14_22,
inference(avatar_split_clause,[],[f211,f446]) ).
fof(f211,plain,
elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Halt(sK4))),
inference(cnf_transformation,[],[f150]) ).
fof(f444,plain,
spl14_21,
inference(avatar_split_clause,[],[f210,f441]) ).
fof(f210,plain,
elem(m_Down(sK8),snoc(queue(host(sK9)),m_Halt(sK4))),
inference(cnf_transformation,[],[f150]) ).
fof(f439,plain,
spl14_20,
inference(avatar_split_clause,[],[f200,f436]) ).
fof(f200,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f434,plain,
spl14_19,
inference(avatar_split_clause,[],[f218,f431]) ).
fof(f431,plain,
( spl14_19
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f218,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f429,plain,
( spl14_18
| ~ spl14_13
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f424,f420,f399,f426]) ).
fof(f420,plain,
( spl14_17
<=> host(sK8) = s(index(pendack,host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f424,plain,
( host(sK8) = s(host(sK7))
| ~ spl14_13
| ~ spl14_17 ),
inference(forward_demodulation,[],[f422,f401]) ).
fof(f422,plain,
( host(sK8) = s(index(pendack,host(sK9)))
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,plain,
spl14_17,
inference(avatar_split_clause,[],[f214,f420]) ).
fof(f214,plain,
host(sK8) = s(index(pendack,host(sK9))),
inference(cnf_transformation,[],[f150]) ).
fof(f418,plain,
( spl14_16
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f413,f409,f394,f415]) ).
fof(f409,plain,
( spl14_15
<=> s(index(pendack,host(sK4))) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f413,plain,
( host(sK9) = s(host(sK5))
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f411,f396]) ).
fof(f411,plain,
( s(index(pendack,host(sK4))) = host(sK9)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f412,plain,
spl14_15,
inference(avatar_split_clause,[],[f206,f409]) ).
fof(f206,plain,
s(index(pendack,host(sK4))) = host(sK9),
inference(cnf_transformation,[],[f150]) ).
fof(f407,plain,
spl14_14,
inference(avatar_split_clause,[],[f216,f404]) ).
fof(f216,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f150]) ).
fof(f402,plain,
spl14_13,
inference(avatar_split_clause,[],[f213,f399]) ).
fof(f213,plain,
index(pendack,host(sK9)) = host(sK7),
inference(cnf_transformation,[],[f150]) ).
fof(f397,plain,
spl14_12,
inference(avatar_split_clause,[],[f204,f394]) ).
fof(f204,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f150]) ).
fof(f392,plain,
spl14_11,
inference(avatar_split_clause,[],[f217,f389]) ).
fof(f217,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f150]) ).
fof(f387,plain,
spl14_10,
inference(avatar_split_clause,[],[f212,f384]) ).
fof(f212,plain,
elec_2 = index(status,host(sK9)),
inference(cnf_transformation,[],[f150]) ).
fof(f382,plain,
( ~ spl14_9
| spl14_8 ),
inference(avatar_split_clause,[],[f377,f373,f379]) ).
fof(f379,plain,
( spl14_9
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f373,plain,
( spl14_8
<=> leq(nbr_proc,index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f377,plain,
( ~ leq(nbr_proc,host(sK5))
| spl14_8 ),
inference(forward_demodulation,[],[f375,f204]) ).
fof(f375,plain,
( ~ leq(nbr_proc,index(pendack,host(sK4)))
| spl14_8 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f376,plain,
~ spl14_8,
inference(avatar_split_clause,[],[f205,f373]) ).
fof(f205,plain,
~ leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f150]) ).
fof(f371,plain,
spl14_7,
inference(avatar_split_clause,[],[f203,f368]) ).
fof(f203,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f366,plain,
spl14_6,
inference(avatar_split_clause,[],[f202,f363]) ).
fof(f202,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f361,plain,
~ spl14_5,
inference(avatar_split_clause,[],[f207,f358]) ).
fof(f358,plain,
( spl14_5
<=> host(sK4) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f207,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f150]) ).
fof(f356,plain,
spl14_4,
inference(avatar_split_clause,[],[f331,f353]) ).
fof(f331,plain,
leq(nbr_proc,host(sK8)),
inference(forward_demodulation,[],[f209,f214]) ).
fof(f209,plain,
leq(nbr_proc,s(index(pendack,host(sK9)))),
inference(cnf_transformation,[],[f150]) ).
fof(f351,plain,
spl14_3,
inference(avatar_split_clause,[],[f215,f348]) ).
fof(f215,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f346,plain,
spl14_2,
inference(avatar_split_clause,[],[f208,f343]) ).
fof(f208,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f341,plain,
spl14_1,
inference(avatar_split_clause,[],[f201,f338]) ).
fof(f201,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:06:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (13020)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13023)WARNING: value z3 for option sas not known
% 0.15/0.38 % (13026)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (13023)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (13024)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (13022)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (13027)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)
% 0.15/0.39 % (13025)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (13021)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 Detected minimum model sizes of [4]
% 0.21/0.40 Detected maximum model sizes of [max]
% 0.21/0.40 TRYING [4]
% 0.21/0.44 Detected minimum model sizes of [4]
% 0.21/0.44 Detected maximum model sizes of [max]
% 0.21/0.44 TRYING [4]
% 0.21/0.45 % (13025)First to succeed.
% 0.21/0.46 TRYING [5]
% 0.21/0.47 % (13025)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13020"
% 0.21/0.47 % (13025)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Theorem for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (13025)------------------------------
% 0.21/0.48 % (13025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.48 % (13025)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (13025)Memory used [KB]: 2115
% 0.21/0.48 % (13025)Time elapsed: 0.082 s
% 0.21/0.48 % (13025)Instructions burned: 144 (million)
% 0.21/0.48 % (13020)Success in time 0.106 s
%------------------------------------------------------------------------------