TSTP Solution File: SWV461+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV461+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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:53:46 EDT 2024
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 350
% Syntax : Number of formulae : 1157 ( 260 unt; 0 def)
% Number of atoms : 4295 (1142 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 5501 (2363 ~;2134 |; 588 &)
% ( 309 <=>; 107 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 284 ( 282 usr; 276 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 22 con; 0-2 aty)
% Number of variables : 1750 (1695 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2770,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f359,f364,f369,f374,f380,f386,f391,f396,f401,f406,f416,f423,f428,f438,f444,f449,f455,f460,f465,f470,f476,f480,f484,f497,f502,f507,f511,f516,f520,f524,f547,f556,f561,f566,f571,f576,f581,f586,f591,f595,f599,f603,f607,f611,f616,f620,f630,f634,f647,f656,f660,f664,f668,f676,f682,f686,f690,f694,f698,f702,f706,f710,f714,f718,f722,f727,f731,f735,f739,f743,f747,f751,f755,f759,f764,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f810,f814,f818,f833,f837,f841,f845,f849,f853,f857,f861,f880,f884,f888,f904,f914,f925,f935,f939,f943,f947,f951,f957,f961,f965,f969,f973,f977,f981,f989,f1015,f1019,f1023,f1027,f1060,f1070,f1075,f1079,f1083,f1087,f1091,f1095,f1099,f1103,f1143,f1147,f1151,f1155,f1159,f1164,f1205,f1209,f1213,f1226,f1237,f1246,f1250,f1275,f1279,f1286,f1295,f1299,f1344,f1362,f1367,f1374,f1378,f1383,f1399,f1403,f1408,f1418,f1422,f1427,f1436,f1440,f1445,f1480,f1490,f1495,f1504,f1508,f1512,f1518,f1539,f1543,f1548,f1557,f1566,f1581,f1595,f1600,f1603,f1626,f1630,f1634,f1653,f1670,f1712,f1721,f1732,f1742,f1752,f1756,f1760,f1773,f1791,f1795,f1803,f1814,f1832,f1836,f1840,f1844,f1848,f1852,f1856,f1861,f1913,f1917,f1921,f1925,f1935,f1939,f1943,f1983,f2004,f2029,f2033,f2037,f2041,f2045,f2049,f2053,f2057,f2061,f2134,f2142,f2146,f2150,f2154,f2158,f2162,f2166,f2170,f2174,f2265,f2267,f2278,f2282,f2327,f2331,f2335,f2354,f2383,f2387,f2391,f2395,f2399,f2431,f2473,f2477,f2503,f2507,f2511,f2520,f2578,f2582,f2588,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2631,f2651,f2655,f2698,f2707,f2714,f2715,f2736,f2757,f2768,f2769]) ).
fof(f2769,plain,
( spl12_215
| ~ spl12_68
| ~ spl12_176 ),
inference(avatar_split_clause,[],[f2742,f1501,f716,f1923]) ).
fof(f1923,plain,
( spl12_215
<=> ! [X0] : m_Halt(X0) != m_Halt(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_215])]) ).
fof(f716,plain,
( spl12_68
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
fof(f1501,plain,
( spl12_176
<=> m_Halt(sK2) = m_Down(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_176])]) ).
fof(f2742,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK2)
| ~ spl12_68
| ~ spl12_176 ),
inference(superposition,[],[f717,f1503]) ).
fof(f1503,plain,
( m_Halt(sK2) = m_Down(sK6)
| ~ spl12_176 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f717,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl12_68 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f2768,plain,
( spl12_275
| ~ spl12_60
| ~ spl12_176 ),
inference(avatar_split_clause,[],[f2741,f1501,f684,f2765]) ).
fof(f2765,plain,
( spl12_275
<=> sK6 = pidMsg(m_Halt(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_275])]) ).
fof(f684,plain,
( spl12_60
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
fof(f2741,plain,
( sK6 = pidMsg(m_Halt(sK2))
| ~ spl12_60
| ~ spl12_176 ),
inference(superposition,[],[f685,f1503]) ).
fof(f685,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl12_60 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f2757,plain,
( ~ spl12_274
| spl12_175
| ~ spl12_176 ),
inference(avatar_split_clause,[],[f2737,f1501,f1497,f2754]) ).
fof(f2754,plain,
( spl12_274
<=> elem(m_Halt(sK2),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_274])]) ).
fof(f1497,plain,
( spl12_175
<=> elem(m_Down(sK6),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_175])]) ).
fof(f2737,plain,
( ~ elem(m_Halt(sK2),queue(host(sK7)))
| spl12_175
| ~ spl12_176 ),
inference(forward_demodulation,[],[f1498,f1503]) ).
fof(f1498,plain,
( ~ elem(m_Down(sK6),queue(host(sK7)))
| spl12_175 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f2736,plain,
( ~ spl12_175
| ~ spl12_155
| ~ spl12_202 ),
inference(avatar_split_clause,[],[f2735,f1789,f1292,f1497]) ).
fof(f1292,plain,
( spl12_155
<=> nbr_proc = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_155])]) ).
fof(f1789,plain,
( spl12_202
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f2735,plain,
( ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ spl12_155
| ~ spl12_202 ),
inference(trivial_inequality_removal,[],[f2734]) ).
fof(f2734,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ spl12_155
| ~ spl12_202 ),
inference(superposition,[],[f1790,f1294]) ).
fof(f1294,plain,
( nbr_proc = host(sK6)
| ~ spl12_155 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1790,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl12_202 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f2715,plain,
( ~ spl12_183
| ~ spl12_200 ),
inference(avatar_split_clause,[],[f1828,f1782,f1550]) ).
fof(f1550,plain,
( spl12_183
<=> elem(m_Ack(sK7,sK5),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_183])]) ).
fof(f1782,plain,
( spl12_200
<=> ! [X1] :
( ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| host(X1) != host(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_200])]) ).
fof(f1828,plain,
( ~ elem(m_Ack(sK7,sK5),queue(host(sK7)))
| ~ spl12_200 ),
inference(equality_resolution,[],[f1783]) ).
fof(f1783,plain,
( ! [X1] :
( host(X1) != host(sK5)
| ~ elem(m_Ack(sK7,X1),queue(host(sK7))) )
| ~ spl12_200 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f2714,plain,
( spl12_273
| ~ spl12_100
| ~ spl12_167 ),
inference(avatar_split_clause,[],[f1428,f1425,f859,f2712]) ).
fof(f2712,plain,
( spl12_273
<=> ! [X0] :
( leq(host(sK5),X0)
| ~ leq(nbr_proc,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_273])]) ).
fof(f859,plain,
( spl12_100
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_100])]) ).
fof(f1425,plain,
( spl12_167
<=> ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_167])]) ).
fof(f1428,plain,
( ! [X0] :
( leq(host(sK5),X0)
| ~ leq(nbr_proc,X0) )
| ~ spl12_100
| ~ spl12_167 ),
inference(resolution,[],[f1426,f860]) ).
fof(f860,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl12_100 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1426,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK5),X0) )
| ~ spl12_167 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f2707,plain,
( spl12_271
| ~ spl12_272
| ~ spl12_26
| ~ spl12_155 ),
inference(avatar_split_clause,[],[f1304,f1292,f478,f2704,f2700]) ).
fof(f2700,plain,
( spl12_271
<=> leq(sK6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_271])]) ).
fof(f2704,plain,
( spl12_272
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_272])]) ).
fof(f478,plain,
( spl12_26
<=> ! [X6] :
( s(zero) != host(X6)
| leq(X6,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f1304,plain,
( s(zero) != nbr_proc
| leq(sK6,sK2)
| ~ spl12_26
| ~ spl12_155 ),
inference(superposition,[],[f479,f1294]) ).
fof(f479,plain,
( ! [X6] :
( s(zero) != host(X6)
| leq(X6,sK2) )
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f2698,plain,
( spl12_270
| ~ spl12_55
| ~ spl12_269 ),
inference(avatar_split_clause,[],[f2688,f2653,f658,f2695]) ).
fof(f2695,plain,
( spl12_270
<=> leq(sK3,s(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_270])]) ).
fof(f658,plain,
( spl12_55
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
fof(f2653,plain,
( spl12_269
<=> ! [X0] :
( leq(sK3,X0)
| leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_269])]) ).
fof(f2688,plain,
( leq(sK3,s(sK2))
| ~ spl12_55
| ~ spl12_269 ),
inference(resolution,[],[f2654,f659]) ).
fof(f659,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl12_55 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f2654,plain,
( ! [X0] :
( leq(sK3,X0)
| leq(X0,sK2) )
| ~ spl12_269 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f2655,plain,
( spl12_269
| ~ spl12_32
| ~ spl12_219 ),
inference(avatar_split_clause,[],[f2022,f2002,f513,f2653]) ).
fof(f513,plain,
( spl12_32
<=> leq(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f2002,plain,
( spl12_219
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_219])]) ).
fof(f2022,plain,
( ! [X0] :
( leq(sK3,X0)
| leq(X0,sK2) )
| ~ spl12_32
| ~ spl12_219 ),
inference(resolution,[],[f2003,f515]) ).
fof(f515,plain,
( leq(sK3,sK2)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f2003,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl12_219 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f2651,plain,
( ~ spl12_268
| ~ spl12_162
| ~ spl12_192 ),
inference(avatar_split_clause,[],[f1655,f1651,f1397,f2648]) ).
fof(f2648,plain,
( spl12_268
<=> leq(s(host(sK7)),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_268])]) ).
fof(f1397,plain,
( spl12_162
<=> ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_162])]) ).
fof(f1651,plain,
( spl12_192
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_192])]) ).
fof(f1655,plain,
( ~ leq(s(host(sK7)),s(zero))
| ~ spl12_162
| ~ spl12_192 ),
inference(resolution,[],[f1652,f1398]) ).
fof(f1398,plain,
( ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,s(zero)) )
| ~ spl12_162 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1652,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl12_192 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f2631,plain,
( spl12_267
| ~ spl12_32
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1056,f1025,f513,f2629]) ).
fof(f2629,plain,
( spl12_267
<=> ! [X0] :
( leq(X0,sK2)
| ~ leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_267])]) ).
fof(f1025,plain,
( spl12_125
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_125])]) ).
fof(f1056,plain,
( ! [X0] :
( leq(X0,sK2)
| ~ leq(X0,sK3) )
| ~ spl12_32
| ~ spl12_125 ),
inference(resolution,[],[f1026,f515]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl12_125 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f2618,plain,
( spl12_266
| ~ spl12_60
| ~ spl12_149 ),
inference(avatar_split_clause,[],[f1260,f1248,f684,f2616]) ).
fof(f2616,plain,
( spl12_266
<=> ! [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,[spl12_266])]) ).
fof(f1248,plain,
( spl12_149
<=> ! [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,[spl12_149])]) ).
fof(f1260,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) )
| ~ spl12_60
| ~ spl12_149 ),
inference(superposition,[],[f1249,f685]) ).
fof(f1249,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) )
| ~ spl12_149 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f2614,plain,
( spl12_265
| ~ spl12_59
| ~ spl12_149 ),
inference(avatar_split_clause,[],[f1259,f1248,f680,f2612]) ).
fof(f2612,plain,
( spl12_265
<=> ! [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,[spl12_265])]) ).
fof(f680,plain,
( spl12_59
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
fof(f1259,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) )
| ~ spl12_59
| ~ spl12_149 ),
inference(superposition,[],[f1249,f681]) ).
fof(f681,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl12_59 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f2610,plain,
( spl12_264
| ~ spl12_60
| ~ spl12_149 ),
inference(avatar_split_clause,[],[f1258,f1248,f684,f2608]) ).
fof(f2608,plain,
( spl12_264
<=> ! [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,[spl12_264])]) ).
fof(f1258,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) )
| ~ spl12_60
| ~ spl12_149 ),
inference(superposition,[],[f1249,f685]) ).
fof(f2606,plain,
( spl12_263
| ~ spl12_59
| ~ spl12_149 ),
inference(avatar_split_clause,[],[f1257,f1248,f680,f2604]) ).
fof(f2604,plain,
( spl12_263
<=> ! [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,[spl12_263])]) ).
fof(f1257,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) )
| ~ spl12_59
| ~ spl12_149 ),
inference(superposition,[],[f1249,f681]) ).
fof(f2602,plain,
( spl12_262
| ~ spl12_60
| ~ spl12_148 ),
inference(avatar_split_clause,[],[f1254,f1244,f684,f2600]) ).
fof(f2600,plain,
( spl12_262
<=> ! [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,[spl12_262])]) ).
fof(f1244,plain,
( spl12_148
<=> ! [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,[spl12_148])]) ).
fof(f1254,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) )
| ~ spl12_60
| ~ spl12_148 ),
inference(superposition,[],[f1245,f685]) ).
fof(f1245,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) )
| ~ spl12_148 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f2598,plain,
( spl12_261
| ~ spl12_59
| ~ spl12_148 ),
inference(avatar_split_clause,[],[f1253,f1244,f680,f2596]) ).
fof(f2596,plain,
( spl12_261
<=> ! [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,[spl12_261])]) ).
fof(f1253,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) )
| ~ spl12_59
| ~ spl12_148 ),
inference(superposition,[],[f1245,f681]) ).
fof(f2594,plain,
( spl12_260
| ~ spl12_60
| ~ spl12_148 ),
inference(avatar_split_clause,[],[f1252,f1244,f684,f2592]) ).
fof(f2592,plain,
( spl12_260
<=> ! [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,[spl12_260])]) ).
fof(f1252,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) )
| ~ spl12_60
| ~ spl12_148 ),
inference(superposition,[],[f1245,f685]) ).
fof(f2588,plain,
( spl12_259
| ~ spl12_59
| ~ spl12_148 ),
inference(avatar_split_clause,[],[f1251,f1244,f680,f2586]) ).
fof(f2586,plain,
( spl12_259
<=> ! [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,[spl12_259])]) ).
fof(f1251,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) )
| ~ spl12_59
| ~ spl12_148 ),
inference(superposition,[],[f1245,f681]) ).
fof(f2582,plain,
( spl12_258
| ~ spl12_98
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f1217,f1203,f851,f2580]) ).
fof(f2580,plain,
( spl12_258
<=> ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK9(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK9(sK11(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_258])]) ).
fof(f851,plain,
( spl12_98
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
fof(f1203,plain,
( spl12_142
<=> ! [X0] :
( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK9(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK9(sK11(X0,X1)))
| sP1(X0,X1) )
| ~ spl12_98
| ~ spl12_142 ),
inference(resolution,[],[f1204,f852]) ).
fof(f852,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP1(X0,X1) )
| ~ spl12_98 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f1204,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK9(X0)) = X0
| m_Down(sK9(X0)) = X0 )
| ~ spl12_142 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f2578,plain,
( spl12_257
| ~ spl12_96
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f1216,f1203,f843,f2576]) ).
fof(f2576,plain,
( spl12_257
<=> ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK9(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK9(sK10(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_257])]) ).
fof(f843,plain,
( spl12_96
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
fof(f1216,plain,
( ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK9(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK9(sK10(X0,X1)))
| sP0(X0,X1) )
| ~ spl12_96
| ~ spl12_142 ),
inference(resolution,[],[f1204,f844]) ).
fof(f844,plain,
( ! [X0,X1] :
( pidElem(sK10(X0,X1))
| sP0(X0,X1) )
| ~ spl12_96 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2520,plain,
( spl12_256
| ~ spl12_117
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1198,f1157,f967,f2518]) ).
fof(f2518,plain,
( spl12_256
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_256])]) ).
fof(f967,plain,
( spl12_117
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_117])]) ).
fof(f1157,plain,
( spl12_140
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_140])]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl12_117
| ~ spl12_140 ),
inference(resolution,[],[f1158,f968]) ).
fof(f968,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl12_117 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1158,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl12_140 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f2511,plain,
( spl12_255
| ~ spl12_116
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1197,f1157,f963,f2509]) ).
fof(f2509,plain,
( spl12_255
<=> ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_255])]) ).
fof(f963,plain,
( spl12_116
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_116])]) ).
fof(f1197,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl12_116
| ~ spl12_140 ),
inference(resolution,[],[f1158,f964]) ).
fof(f964,plain,
( ! [X0,X1] :
( elem(sK10(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl12_116 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f2507,plain,
( spl12_254
| ~ spl12_117
| ~ spl12_139 ),
inference(avatar_split_clause,[],[f1191,f1153,f967,f2505]) ).
fof(f2505,plain,
( spl12_254
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_254])]) ).
fof(f1153,plain,
( spl12_139
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_139])]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl12_117
| ~ spl12_139 ),
inference(resolution,[],[f1154,f968]) ).
fof(f1154,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl12_139 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f2503,plain,
( spl12_253
| ~ spl12_116
| ~ spl12_139 ),
inference(avatar_split_clause,[],[f1190,f1153,f963,f2501]) ).
fof(f2501,plain,
( spl12_253
<=> ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_253])]) ).
fof(f1190,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl12_116
| ~ spl12_139 ),
inference(resolution,[],[f1154,f964]) ).
fof(f2477,plain,
( spl12_252
| ~ spl12_138
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1201,f1157,f1149,f2475]) ).
fof(f2475,plain,
( spl12_252
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_252])]) ).
fof(f1149,plain,
( spl12_138
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_138])]) ).
fof(f1201,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl12_138
| ~ spl12_140 ),
inference(superposition,[],[f1158,f1150]) ).
fof(f1150,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl12_138 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f2473,plain,
( spl12_251
| ~ spl12_123
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1185,f1149,f1017,f2471]) ).
fof(f2471,plain,
( spl12_251
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_251])]) ).
fof(f1017,plain,
( spl12_123
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_123])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_123
| ~ spl12_138 ),
inference(superposition,[],[f1018,f1150]) ).
fof(f1018,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl12_123 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f2431,plain,
( ~ spl12_250
| ~ spl12_35
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f1558,f1550,f545,f2428]) ).
fof(f2428,plain,
( spl12_250
<=> leq(host(sK5),host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_250])]) ).
fof(f545,plain,
( spl12_35
<=> ! [X38,X36,X37] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f1558,plain,
( ~ leq(host(sK5),host(sK7))
| ~ spl12_35
| ~ spl12_183 ),
inference(resolution,[],[f1552,f546]) ).
fof(f546,plain,
( ! [X38,X36,X37] :
( ~ elem(m_Ack(X38,X36),queue(host(X37)))
| ~ leq(host(X36),host(X38)) )
| ~ spl12_35 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1552,plain,
( elem(m_Ack(sK7,sK5),queue(host(sK7)))
| ~ spl12_183 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f2399,plain,
( spl12_249
| ~ spl12_47
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f1215,f1203,f605,f2397]) ).
fof(f2397,plain,
( spl12_249
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK9(m_Down(X0)))
| m_Down(X0) = m_Down(sK9(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_249])]) ).
fof(f605,plain,
( spl12_47
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f1215,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK9(m_Down(X0)))
| m_Down(X0) = m_Down(sK9(m_Down(X0))) )
| ~ spl12_47
| ~ spl12_142 ),
inference(resolution,[],[f1204,f606]) ).
fof(f606,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f2395,plain,
( spl12_248
| ~ spl12_48
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f1214,f1203,f609,f2393]) ).
fof(f2393,plain,
( spl12_248
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK9(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK9(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_248])]) ).
fof(f609,plain,
( spl12_48
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f1214,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK9(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK9(m_Halt(X0))) )
| ~ spl12_48
| ~ spl12_142 ),
inference(resolution,[],[f1204,f610]) ).
fof(f610,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl12_48 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f2391,plain,
( spl12_247
| ~ spl12_129
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1200,f1157,f1077,f2389]) ).
fof(f2389,plain,
( spl12_247
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_247])]) ).
fof(f1077,plain,
( spl12_129
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_129])]) ).
fof(f1200,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl12_129
| ~ spl12_140 ),
inference(superposition,[],[f1158,f1078]) ).
fof(f1078,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl12_129 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f2387,plain,
( spl12_246
| ~ spl12_127
| ~ spl12_139 ),
inference(avatar_split_clause,[],[f1192,f1153,f1068,f2385]) ).
fof(f2385,plain,
( spl12_246
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_246])]) ).
fof(f1068,plain,
( spl12_127
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_127])]) ).
fof(f1192,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl12_127
| ~ spl12_139 ),
inference(superposition,[],[f1154,f1069]) ).
fof(f1069,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl12_127 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f2383,plain,
( spl12_245
| ~ spl12_127
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1177,f1149,f1068,f2381]) ).
fof(f2381,plain,
( spl12_245
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_245])]) ).
fof(f1177,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl12_127
| ~ spl12_138 ),
inference(superposition,[],[f1150,f1069]) ).
fof(f2354,plain,
( spl12_15
| ~ spl12_130
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f1560,f1550,f1081,f420]) ).
fof(f420,plain,
( spl12_15
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1081,plain,
( spl12_130
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_130])]) ).
fof(f1560,plain,
( setIn(sK7,pids)
| ~ spl12_130
| ~ spl12_183 ),
inference(resolution,[],[f1552,f1082]) ).
fof(f1082,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl12_130 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f2335,plain,
( spl12_244
| ~ spl12_123
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1119,f1077,f1017,f2333]) ).
fof(f2333,plain,
( spl12_244
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_244])]) ).
fof(f1119,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl12_123
| ~ spl12_129 ),
inference(superposition,[],[f1018,f1078]) ).
fof(f2331,plain,
( spl12_243
| ~ spl12_122
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1111,f1068,f1013,f2329]) ).
fof(f2329,plain,
( spl12_243
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_243])]) ).
fof(f1013,plain,
( spl12_122
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_122])]) ).
fof(f1111,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl12_122
| ~ spl12_127 ),
inference(superposition,[],[f1014,f1069]) ).
fof(f1014,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl12_122 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f2327,plain,
( spl12_242
| ~ spl12_114
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1041,f1021,f955,f2325]) ).
fof(f2325,plain,
( spl12_242
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_242])]) ).
fof(f955,plain,
( spl12_114
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_114])]) ).
fof(f1021,plain,
( spl12_124
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_124])]) ).
fof(f1041,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl12_114
| ~ spl12_124 ),
inference(resolution,[],[f1022,f956]) ).
fof(f956,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl12_114 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f1022,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl12_124 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f2282,plain,
( spl12_241
| ~ spl12_118
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1187,f1149,f971,f2280]) ).
fof(f2280,plain,
( spl12_241
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_241])]) ).
fof(f971,plain,
( spl12_118
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_118])]) ).
fof(f1187,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_118
| ~ spl12_138 ),
inference(superposition,[],[f972,f1150]) ).
fof(f972,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl12_118 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f2278,plain,
( spl12_240
| ~ spl12_120
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1184,f1149,f979,f2276]) ).
fof(f2276,plain,
( spl12_240
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_240])]) ).
fof(f979,plain,
( spl12_120
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_120])]) ).
fof(f1184,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl12_120
| ~ spl12_138 ),
inference(superposition,[],[f980,f1150]) ).
fof(f980,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl12_120 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f2267,plain,
~ spl12_215,
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2266,plain,
( $false
| ~ spl12_215 ),
inference(equality_resolution,[],[f1924]) ).
fof(f1924,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK2)
| ~ spl12_215 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f2265,plain,
( spl12_239
| ~ spl12_114
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f1174,f1145,f955,f2263]) ).
fof(f2263,plain,
( spl12_239
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_239])]) ).
fof(f1145,plain,
( spl12_137
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_137])]) ).
fof(f1174,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl12_114
| ~ spl12_137 ),
inference(resolution,[],[f1146,f956]) ).
fof(f1146,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl12_137 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f2174,plain,
( spl12_238
| ~ spl12_95
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1186,f1149,f839,f2172]) ).
fof(f2172,plain,
( spl12_238
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_238])]) ).
fof(f839,plain,
( spl12_95
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_95])]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_95
| ~ spl12_138 ),
inference(superposition,[],[f840,f1150]) ).
fof(f840,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl12_95 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f2170,plain,
( spl12_237
| ~ spl12_99
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1183,f1149,f855,f2168]) ).
fof(f2168,plain,
( spl12_237
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_237])]) ).
fof(f855,plain,
( spl12_99
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_99])]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl12_99
| ~ spl12_138 ),
inference(superposition,[],[f856,f1150]) ).
fof(f856,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl12_99 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f2166,plain,
( spl12_236
| ~ spl12_84
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f1172,f1145,f784,f2164]) ).
fof(f2164,plain,
( spl12_236
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_236])]) ).
fof(f784,plain,
( spl12_84
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_84])]) ).
fof(f1172,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl12_84
| ~ spl12_137 ),
inference(resolution,[],[f1146,f785]) ).
fof(f785,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl12_84 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2162,plain,
( spl12_235
| ~ spl12_60
| ~ spl12_133 ),
inference(avatar_split_clause,[],[f1137,f1093,f684,f2160]) ).
fof(f2160,plain,
( spl12_235
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_235])]) ).
fof(f1093,plain,
( spl12_133
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_133])]) ).
fof(f1137,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl12_60
| ~ spl12_133 ),
inference(superposition,[],[f1094,f685]) ).
fof(f1094,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl12_133 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f2158,plain,
( spl12_234
| ~ spl12_59
| ~ spl12_133 ),
inference(avatar_split_clause,[],[f1136,f1093,f680,f2156]) ).
fof(f2156,plain,
( spl12_234
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_234])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl12_59
| ~ spl12_133 ),
inference(superposition,[],[f1094,f681]) ).
fof(f2154,plain,
( spl12_233
| ~ spl12_60
| ~ spl12_132 ),
inference(avatar_split_clause,[],[f1133,f1089,f684,f2152]) ).
fof(f2152,plain,
( spl12_233
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_233])]) ).
fof(f1089,plain,
( spl12_132
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_132])]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl12_60
| ~ spl12_132 ),
inference(superposition,[],[f1090,f685]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
| sP0(X0,X1) )
| ~ spl12_132 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f2150,plain,
( spl12_232
| ~ spl12_59
| ~ spl12_132 ),
inference(avatar_split_clause,[],[f1132,f1089,f680,f2148]) ).
fof(f2148,plain,
( spl12_232
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_232])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl12_59
| ~ spl12_132 ),
inference(superposition,[],[f1090,f681]) ).
fof(f2146,plain,
( spl12_231
| ~ spl12_114
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1053,f1025,f955,f2144]) ).
fof(f2144,plain,
( spl12_231
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_231])]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl12_114
| ~ spl12_125 ),
inference(resolution,[],[f1026,f956]) ).
fof(f2142,plain,
( spl12_230
| ~ spl12_100
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1036,f1021,f859,f2140]) ).
fof(f2140,plain,
( spl12_230
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_230])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl12_100
| ~ spl12_124 ),
inference(resolution,[],[f1022,f860]) ).
fof(f2134,plain,
( ~ spl12_229
| ~ spl12_25
| ~ spl12_155
| ~ spl12_192 ),
inference(avatar_split_clause,[],[f1666,f1651,f1292,f473,f2131]) ).
fof(f2131,plain,
( spl12_229
<=> leq(s(nbr_proc),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_229])]) ).
fof(f473,plain,
( spl12_25
<=> host(sK6) = s(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f1666,plain,
( ~ leq(s(nbr_proc),host(sK5))
| ~ spl12_25
| ~ spl12_155
| ~ spl12_192 ),
inference(forward_demodulation,[],[f1662,f1294]) ).
fof(f1662,plain,
( ~ leq(s(host(sK6)),host(sK5))
| ~ spl12_25
| ~ spl12_192 ),
inference(superposition,[],[f1652,f475]) ).
fof(f475,plain,
( host(sK6) = s(host(sK5))
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f2061,plain,
( spl12_228
| ~ spl12_86
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1182,f1149,f792,f2059]) ).
fof(f2059,plain,
( spl12_228
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_228])]) ).
fof(f792,plain,
( spl12_86
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl12_86
| ~ spl12_138 ),
inference(superposition,[],[f793,f1150]) ).
fof(f793,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl12_86 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f2057,plain,
( spl12_227
| ~ spl12_83
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1181,f1149,f780,f2055]) ).
fof(f2055,plain,
( spl12_227
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_227])]) ).
fof(f780,plain,
( spl12_83
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_83])]) ).
fof(f1181,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl12_83
| ~ spl12_138 ),
inference(superposition,[],[f781,f1150]) ).
fof(f781,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl12_83 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f2053,plain,
( spl12_226
| ~ spl12_84
| ~ spl12_133 ),
inference(avatar_split_clause,[],[f1134,f1093,f784,f2051]) ).
fof(f2051,plain,
( spl12_226
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_226])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK11(X0,X1))) )
| ~ spl12_84
| ~ spl12_133 ),
inference(resolution,[],[f1094,f785]) ).
fof(f2049,plain,
( spl12_225
| ~ spl12_120
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1118,f1077,f979,f2047]) ).
fof(f2047,plain,
( spl12_225
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_225])]) ).
fof(f1118,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl12_120
| ~ spl12_129 ),
inference(superposition,[],[f980,f1078]) ).
fof(f2045,plain,
( spl12_224
| ~ spl12_99
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1117,f1077,f855,f2043]) ).
fof(f2043,plain,
( spl12_224
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_224])]) ).
fof(f1117,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl12_99
| ~ spl12_129 ),
inference(superposition,[],[f856,f1078]) ).
fof(f2041,plain,
( spl12_223
| ~ spl12_119
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1110,f1068,f975,f2039]) ).
fof(f2039,plain,
( spl12_223
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_223])]) ).
fof(f975,plain,
( spl12_119
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_119])]) ).
fof(f1110,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl12_119
| ~ spl12_127 ),
inference(superposition,[],[f976,f1069]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl12_119 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f2037,plain,
( spl12_222
| ~ spl12_97
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1109,f1068,f847,f2035]) ).
fof(f2035,plain,
( spl12_222
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_222])]) ).
fof(f847,plain,
( spl12_97
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
fof(f1109,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl12_97
| ~ spl12_127 ),
inference(superposition,[],[f848,f1069]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl12_97 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f2033,plain,
( spl12_221
| ~ spl12_100
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1048,f1025,f859,f2031]) ).
fof(f2031,plain,
( spl12_221
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_221])]) ).
fof(f1048,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl12_100
| ~ spl12_125 ),
inference(resolution,[],[f1026,f860]) ).
fof(f2029,plain,
( spl12_220
| ~ spl12_61
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1040,f1021,f688,f2027]) ).
fof(f2027,plain,
( spl12_220
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_220])]) ).
fof(f688,plain,
( spl12_61
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f1040,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl12_61
| ~ spl12_124 ),
inference(resolution,[],[f1022,f689]) ).
fof(f689,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f2004,plain,
( spl12_219
| ~ spl12_84
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1046,f1025,f784,f2002]) ).
fof(f1046,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl12_84
| ~ spl12_125 ),
inference(resolution,[],[f1026,f785]) ).
fof(f1983,plain,
( spl12_15
| ~ spl12_130
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f1560,f1550,f1081,f420]) ).
fof(f1943,plain,
( spl12_218
| ~ spl12_82
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1180,f1149,f776,f1941]) ).
fof(f1941,plain,
( spl12_218
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_218])]) ).
fof(f776,plain,
( spl12_82
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
fof(f1180,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl12_82
| ~ spl12_138 ),
inference(superposition,[],[f777,f1150]) ).
fof(f777,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl12_82 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1939,plain,
( spl12_217
| ~ spl12_86
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1116,f1077,f792,f1937]) ).
fof(f1937,plain,
( spl12_217
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_217])]) ).
fof(f1116,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl12_86
| ~ spl12_129 ),
inference(superposition,[],[f793,f1078]) ).
fof(f1935,plain,
( spl12_216
| ~ spl12_85
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1108,f1068,f788,f1933]) ).
fof(f1933,plain,
( spl12_216
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_216])]) ).
fof(f788,plain,
( spl12_85
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f1108,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl12_85
| ~ spl12_127 ),
inference(superposition,[],[f789,f1069]) ).
fof(f789,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1925,plain,
( spl12_215
| ~ spl12_90
| ~ spl12_184 ),
inference(avatar_split_clause,[],[f1610,f1554,f808,f1923]) ).
fof(f808,plain,
( spl12_90
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f1554,plain,
( spl12_184
<=> m_Halt(sK2) = m_Ack(sK7,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_184])]) ).
fof(f1610,plain,
( ! [X0] : m_Halt(X0) != m_Halt(sK2)
| ~ spl12_90
| ~ spl12_184 ),
inference(superposition,[],[f809,f1556]) ).
fof(f1556,plain,
( m_Halt(sK2) = m_Ack(sK7,sK5)
| ~ spl12_184 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f809,plain,
( ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2)
| ~ spl12_90 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f1921,plain,
( spl12_214
| ~ spl12_61
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1052,f1025,f688,f1919]) ).
fof(f1919,plain,
( spl12_214
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_214])]) ).
fof(f1052,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl12_61
| ~ spl12_125 ),
inference(resolution,[],[f1026,f689]) ).
fof(f1917,plain,
( spl12_213
| ~ spl12_56
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1037,f1021,f662,f1915]) ).
fof(f1915,plain,
( spl12_213
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f662,plain,
( spl12_56
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
fof(f1037,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl12_56
| ~ spl12_124 ),
inference(resolution,[],[f1022,f663]) ).
fof(f663,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl12_56 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1913,plain,
( spl12_212
| ~ spl12_84
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1000,f959,f784,f1911]) ).
fof(f1911,plain,
( spl12_212
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_212])]) ).
fof(f959,plain,
( spl12_115
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_115])]) ).
fof(f1000,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl12_84
| ~ spl12_115 ),
inference(resolution,[],[f960,f785]) ).
fof(f960,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl12_115 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1861,plain,
( ~ spl12_211
| ~ spl12_92
| ~ spl12_155 ),
inference(avatar_split_clause,[],[f1319,f1292,f816,f1858]) ).
fof(f1858,plain,
( spl12_211
<=> elem(m_Down(sK6),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_211])]) ).
fof(f816,plain,
( spl12_92
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f1319,plain,
( ~ elem(m_Down(sK6),queue(nbr_proc))
| ~ spl12_92
| ~ spl12_155 ),
inference(superposition,[],[f817,f1294]) ).
fof(f817,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl12_92 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f1856,plain,
( spl12_210
| ~ spl12_78
| ~ spl12_138 ),
inference(avatar_split_clause,[],[f1179,f1149,f757,f1854]) ).
fof(f1854,plain,
( spl12_210
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_210])]) ).
fof(f757,plain,
( spl12_78
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
fof(f1179,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl12_78
| ~ spl12_138 ),
inference(superposition,[],[f758,f1150]) ).
fof(f758,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl12_78 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1852,plain,
( spl12_209
| ~ spl12_78
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1115,f1077,f757,f1850]) ).
fof(f1850,plain,
( spl12_209
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_209])]) ).
fof(f1115,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl12_78
| ~ spl12_129 ),
inference(superposition,[],[f758,f1078]) ).
fof(f1848,plain,
( spl12_208
| ~ spl12_77
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1107,f1068,f753,f1846]) ).
fof(f1846,plain,
( spl12_208
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f753,plain,
( spl12_77
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
fof(f1107,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl12_77
| ~ spl12_127 ),
inference(superposition,[],[f754,f1069]) ).
fof(f754,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl12_77 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f1844,plain,
( spl12_207
| ~ spl12_54
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1051,f1025,f653,f1842]) ).
fof(f1842,plain,
( spl12_207
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_207])]) ).
fof(f653,plain,
( spl12_54
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
fof(f1051,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl12_54
| ~ spl12_125 ),
inference(resolution,[],[f1026,f655]) ).
fof(f655,plain,
( leq(s(zero),nbr_proc)
| ~ spl12_54 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1840,plain,
( spl12_206
| ~ spl12_56
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1049,f1025,f662,f1838]) ).
fof(f1838,plain,
( spl12_206
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f1049,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl12_56
| ~ spl12_125 ),
inference(resolution,[],[f1026,f663]) ).
fof(f1836,plain,
( spl12_205
| ~ spl12_99
| ~ spl12_118 ),
inference(avatar_split_clause,[],[f1008,f971,f855,f1834]) ).
fof(f1834,plain,
( spl12_205
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_205])]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl12_99
| ~ spl12_118 ),
inference(resolution,[],[f972,f856]) ).
fof(f1832,plain,
( spl12_204
| ~ spl12_100
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f998,f959,f859,f1830]) ).
fof(f1830,plain,
( spl12_204
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_204])]) ).
fof(f998,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl12_100
| ~ spl12_115 ),
inference(resolution,[],[f960,f860]) ).
fof(f1814,plain,
( ~ spl12_203
| ~ spl12_55
| ~ spl12_152 ),
inference(avatar_split_clause,[],[f1282,f1277,f658,f1811]) ).
fof(f1811,plain,
( spl12_203
<=> leq(s(host(sK6)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f1277,plain,
( spl12_152
<=> ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_152])]) ).
fof(f1282,plain,
( ~ leq(s(host(sK6)),nbr_proc)
| ~ spl12_55
| ~ spl12_152 ),
inference(resolution,[],[f1278,f659]) ).
fof(f1278,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) )
| ~ spl12_152 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1803,plain,
( ~ spl12_17
| ~ spl12_19
| ~ spl12_23
| ~ spl12_146 ),
inference(avatar_split_clause,[],[f1802,f1224,f462,f441,f431]) ).
fof(f431,plain,
( spl12_17
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f441,plain,
( spl12_19
<=> norm = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f462,plain,
( spl12_23
<=> host(sK4) = index(ldr,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f1224,plain,
( spl12_146
<=> ! [X7] :
( norm != index(status,host(X7))
| ~ setIn(X7,alive)
| host(X7) != index(ldr,host(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_146])]) ).
fof(f1802,plain,
( ~ setIn(sK4,alive)
| ~ spl12_19
| ~ spl12_23
| ~ spl12_146 ),
inference(trivial_inequality_removal,[],[f1801]) ).
fof(f1801,plain,
( norm != norm
| ~ setIn(sK4,alive)
| ~ spl12_19
| ~ spl12_23
| ~ spl12_146 ),
inference(forward_demodulation,[],[f1800,f443]) ).
fof(f443,plain,
( norm = index(status,host(sK4))
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1800,plain,
( ~ setIn(sK4,alive)
| norm != index(status,host(sK4))
| ~ spl12_23
| ~ spl12_146 ),
inference(trivial_inequality_removal,[],[f1799]) ).
fof(f1799,plain,
( host(sK4) != host(sK4)
| ~ setIn(sK4,alive)
| norm != index(status,host(sK4))
| ~ spl12_23
| ~ spl12_146 ),
inference(superposition,[],[f1225,f464]) ).
fof(f464,plain,
( host(sK4) = index(ldr,host(sK4))
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f1225,plain,
( ! [X7] :
( host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| norm != index(status,host(X7)) )
| ~ spl12_146 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1795,plain,
( ~ spl12_46
| spl12_201 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1792,plain,
( $false
| ~ spl12_46
| spl12_201 ),
inference(resolution,[],[f1787,f602]) ).
fof(f602,plain,
( ! [X0] : leq(X0,X0)
| ~ spl12_46 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl12_46
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f1787,plain,
( ~ leq(nbr_proc,nbr_proc)
| spl12_201 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1785,plain,
( spl12_201
<=> leq(nbr_proc,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_201])]) ).
fof(f1791,plain,
( spl12_200
| ~ spl12_13
| ~ spl12_201
| spl12_202
| ~ spl12_16
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145
| ~ spl12_155 ),
inference(avatar_split_clause,[],[f1369,f1292,f1221,f473,f457,f425,f1789,f1785,f409,f1782]) ).
fof(f409,plain,
( spl12_13
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f425,plain,
( spl12_16
<=> elec_2 = index(status,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f457,plain,
( spl12_22
<=> index(pendack,host(sK7)) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f1221,plain,
( spl12_145
<=> ! [X9,X8,X10] :
( host(X9) != s(index(pendack,host(X10)))
| ~ setIn(X10,alive)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| elec_2 != index(status,host(X10))
| host(X8) != index(pendack,host(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_145])]) ).
fof(f1369,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ leq(nbr_proc,nbr_proc)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| host(X1) != host(sK5) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145
| ~ spl12_155 ),
inference(forward_demodulation,[],[f1368,f1294]) ).
fof(f1368,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,nbr_proc)
| host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| host(X1) != host(sK5) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145
| ~ spl12_155 ),
inference(forward_demodulation,[],[f1233,f1294]) ).
fof(f1233,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK6))
| host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| host(X1) != host(sK5) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145 ),
inference(trivial_inequality_removal,[],[f1232]) ).
fof(f1232,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ leq(nbr_proc,host(sK6))
| host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| host(X1) != host(sK5) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145 ),
inference(forward_demodulation,[],[f1231,f427]) ).
fof(f427,plain,
( elec_2 = index(status,host(sK7))
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1231,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK6))
| host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| elec_2 != index(status,host(sK7))
| host(X1) != host(sK5) )
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145 ),
inference(forward_demodulation,[],[f1230,f475]) ).
fof(f1230,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK7))
| host(X1) != host(sK5) )
| ~ spl12_22
| ~ spl12_25
| ~ spl12_145 ),
inference(forward_demodulation,[],[f1229,f475]) ).
fof(f1229,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK5))
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK7))
| host(X1) != host(sK5) )
| ~ spl12_22
| ~ spl12_145 ),
inference(superposition,[],[f1222,f459]) ).
fof(f459,plain,
( index(pendack,host(sK7)) = host(sK5)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f1222,plain,
( ! [X10,X8,X9] :
( host(X9) != s(index(pendack,host(X10)))
| ~ setIn(X10,alive)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| elec_2 != index(status,host(X10))
| host(X8) != index(pendack,host(X10)) )
| ~ spl12_145 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1773,plain,
( spl12_199
| ~ spl12_17
| ~ spl12_19
| ~ spl12_23
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1066,f1058,f462,f441,f431,f1771]) ).
fof(f1771,plain,
( spl12_199
<=> ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK4))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_199])]) ).
fof(f1058,plain,
( spl12_126
<=> ! [X18,X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_126])]) ).
fof(f1066,plain,
( ! [X0,X1] :
( ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4)) )
| ~ spl12_19
| ~ spl12_23
| ~ spl12_126 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4)) )
| ~ spl12_19
| ~ spl12_23
| ~ spl12_126 ),
inference(forward_demodulation,[],[f1064,f443]) ).
fof(f1064,plain,
( ! [X0,X1] :
( norm != index(status,host(sK4))
| ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4)) )
| ~ spl12_23
| ~ spl12_126 ),
inference(trivial_inequality_removal,[],[f1063]) ).
fof(f1063,plain,
( ! [X0,X1] :
( host(sK4) != host(sK4)
| norm != index(status,host(sK4))
| ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4)) )
| ~ spl12_23
| ~ spl12_126 ),
inference(superposition,[],[f1059,f464]) ).
fof(f1059,plain,
( ! [X18,X16,X17] :
( host(X16) != index(ldr,host(X16))
| norm != index(status,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
| ~ spl12_126 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1760,plain,
( spl12_198
| ~ spl12_95
| ~ spl12_99 ),
inference(avatar_split_clause,[],[f870,f855,f839,f1758]) ).
fof(f1758,plain,
( spl12_198
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_198])]) ).
fof(f870,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl12_95
| ~ spl12_99 ),
inference(resolution,[],[f856,f840]) ).
fof(f1756,plain,
( spl12_197
| ~ spl12_82
| ~ spl12_94 ),
inference(avatar_split_clause,[],[f864,f835,f776,f1754]) ).
fof(f1754,plain,
( spl12_197
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_197])]) ).
fof(f835,plain,
( spl12_94
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
fof(f864,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl12_82
| ~ spl12_94 ),
inference(superposition,[],[f777,f836]) ).
fof(f836,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl12_94 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1752,plain,
( spl12_196
| ~ spl12_83
| ~ spl12_94 ),
inference(avatar_split_clause,[],[f863,f835,f780,f1750]) ).
fof(f1750,plain,
( spl12_196
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_196])]) ).
fof(f863,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl12_83
| ~ spl12_94 ),
inference(superposition,[],[f781,f836]) ).
fof(f1742,plain,
( ~ spl12_13
| spl12_195
| ~ spl12_16
| ~ spl12_22
| ~ spl12_105 ),
inference(avatar_split_clause,[],[f931,f912,f457,f425,f1740,f409]) ).
fof(f1740,plain,
( spl12_195
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| leq(host(X0),host(sK7))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_195])]) ).
fof(f912,plain,
( spl12_105
<=> ! [X20,X19] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_105])]) ).
fof(f931,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_105 ),
inference(forward_demodulation,[],[f930,f459]) ).
fof(f930,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK7)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_105 ),
inference(trivial_inequality_removal,[],[f928]) ).
fof(f928,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK7)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_105 ),
inference(superposition,[],[f913,f427]) ).
fof(f913,plain,
( ! [X19,X20] :
( elec_2 != index(status,host(X20))
| ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
| ~ spl12_105 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1732,plain,
( ~ spl12_13
| spl12_194
| ~ spl12_16
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f899,f882,f425,f1730,f409]) ).
fof(f1730,plain,
( spl12_194
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK7)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_194])]) ).
fof(f882,plain,
( spl12_102
<=> ! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_102])]) ).
fof(f899,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK7)
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive) )
| ~ spl12_16
| ~ spl12_102 ),
inference(trivial_inequality_removal,[],[f897]) ).
fof(f897,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK7)
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive) )
| ~ spl12_16
| ~ spl12_102 ),
inference(superposition,[],[f883,f427]) ).
fof(f883,plain,
( ! [X24,X25,X23] :
( elec_2 != index(status,host(X25))
| ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
| ~ spl12_102 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1721,plain,
( spl12_11
| ~ spl12_20
| ~ spl12_158 ),
inference(avatar_split_clause,[],[f1695,f1364,f446,f398]) ).
fof(f398,plain,
( spl12_11
<=> s(zero) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f446,plain,
( spl12_20
<=> host(sK7) = s(s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1364,plain,
( spl12_158
<=> s(zero) = s(s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_158])]) ).
fof(f1695,plain,
( s(zero) = host(sK7)
| ~ spl12_20
| ~ spl12_158 ),
inference(superposition,[],[f448,f1366]) ).
fof(f1366,plain,
( s(zero) = s(s(zero))
| ~ spl12_158 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f448,plain,
( host(sK7) = s(s(zero))
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1712,plain,
( spl12_11
| ~ spl12_5
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f417,f413,f366,f398]) ).
fof(f366,plain,
( spl12_5
<=> s(zero) = host(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f413,plain,
( spl12_14
<=> sK2 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f417,plain,
( s(zero) = host(sK7)
| ~ spl12_5
| ~ spl12_14 ),
inference(superposition,[],[f368,f415]) ).
fof(f415,plain,
( sK2 = sK7
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f368,plain,
( s(zero) = host(sK2)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f1670,plain,
( ~ spl12_13
| spl12_193
| ~ spl12_16
| ~ spl12_22
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f910,f886,f457,f425,f1668,f409]) ).
fof(f1668,plain,
( spl12_193
<=> ! [X0] :
( leq(host(sK5),host(X0))
| leq(host(X0),host(sK7))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_193])]) ).
fof(f886,plain,
( spl12_103
<=> ! [X22,X21] :
( 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)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_103])]) ).
fof(f910,plain,
( ! [X0] :
( leq(host(sK5),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_22
| ~ spl12_103 ),
inference(forward_demodulation,[],[f909,f459]) ).
fof(f909,plain,
( ! [X0] :
( leq(index(pendack,host(sK7)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_103 ),
inference(trivial_inequality_removal,[],[f907]) ).
fof(f907,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK7)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK7)) )
| ~ spl12_16
| ~ spl12_103 ),
inference(superposition,[],[f887,f427]) ).
fof(f887,plain,
( ! [X21,X22] :
( elec_2 != index(status,host(X22))
| leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
| ~ spl12_103 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f1653,plain,
( spl12_192
| ~ spl12_55
| ~ spl12_100 ),
inference(avatar_split_clause,[],[f873,f859,f658,f1651]) ).
fof(f873,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl12_55
| ~ spl12_100 ),
inference(resolution,[],[f860,f659]) ).
fof(f1634,plain,
( spl12_191
| ~ spl12_8
| ~ spl12_147 ),
inference(avatar_split_clause,[],[f1241,f1235,f383,f1632]) ).
fof(f1632,plain,
( spl12_191
<=> ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_191])]) ).
fof(f383,plain,
( spl12_8
<=> s(zero) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f1235,plain,
( spl12_147
<=> ! [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,[spl12_147])]) ).
fof(f1241,plain,
( ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl12_8
| ~ spl12_147 ),
inference(superposition,[],[f1236,f385]) ).
fof(f385,plain,
( s(zero) = host(sK3)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl12_147 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1630,plain,
( spl12_190
| ~ spl12_5
| ~ spl12_147 ),
inference(avatar_split_clause,[],[f1240,f1235,f366,f1628]) ).
fof(f1628,plain,
( spl12_190
<=> ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(X0),X1)
| leq(sK2,X0)
| ~ ordered(cons(m_Halt(sK2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_190])]) ).
fof(f1240,plain,
( ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(X0),X1)
| leq(sK2,X0)
| ~ ordered(cons(m_Halt(sK2),X1)) )
| ~ spl12_5
| ~ spl12_147 ),
inference(superposition,[],[f1236,f368]) ).
fof(f1626,plain,
( spl12_189
| ~ spl12_8
| ~ spl12_147 ),
inference(avatar_split_clause,[],[f1239,f1235,f383,f1624]) ).
fof(f1624,plain,
( spl12_189
<=> ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_189])]) ).
fof(f1239,plain,
( ! [X0,X1] :
( host(X0) != s(zero)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_8
| ~ spl12_147 ),
inference(superposition,[],[f1236,f385]) ).
fof(f1603,plain,
( spl12_10
| ~ spl12_5
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f1583,f435,f366,f393]) ).
fof(f393,plain,
( spl12_10
<=> s(zero) = host(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f435,plain,
( spl12_18
<=> sK2 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f1583,plain,
( s(zero) = host(sK4)
| ~ spl12_5
| ~ spl12_18 ),
inference(superposition,[],[f368,f437]) ).
fof(f437,plain,
( sK2 = sK4
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1600,plain,
( spl12_188
| ~ spl12_131
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f1559,f1550,f1085,f1597]) ).
fof(f1597,plain,
( spl12_188
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_188])]) ).
fof(f1085,plain,
( spl12_131
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_131])]) ).
fof(f1559,plain,
( setIn(sK5,pids)
| ~ spl12_131
| ~ spl12_183 ),
inference(resolution,[],[f1552,f1086]) ).
fof(f1086,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl12_131 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1595,plain,
( ~ spl12_187
| spl12_1
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f1582,f435,f345,f1592]) ).
fof(f1592,plain,
( spl12_187
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_187])]) ).
fof(f345,plain,
( spl12_1
<=> setIn(sK2,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f1582,plain,
( ~ setIn(sK4,pids)
| spl12_1
| ~ spl12_18 ),
inference(superposition,[],[f347,f437]) ).
fof(f347,plain,
( ~ setIn(sK2,pids)
| spl12_1 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1581,plain,
( spl12_186
| ~ spl12_17
| ~ spl12_19
| ~ spl12_23
| ~ spl12_101 ),
inference(avatar_split_clause,[],[f894,f878,f462,f441,f431,f1579]) ).
fof(f1579,plain,
( spl12_186
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_186])]) ).
fof(f878,plain,
( spl12_101
<=> ! [X27,X28,X26] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
fof(f894,plain,
( ! [X0,X1] :
( ~ setIn(sK4,alive)
| host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl12_19
| ~ spl12_23
| ~ spl12_101 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f893,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK4,alive)
| host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl12_19
| ~ spl12_23
| ~ spl12_101 ),
inference(forward_demodulation,[],[f892,f443]) ).
fof(f892,plain,
( ! [X0,X1] :
( norm != index(status,host(sK4))
| ~ setIn(sK4,alive)
| host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl12_23
| ~ spl12_101 ),
inference(trivial_inequality_removal,[],[f891]) ).
fof(f891,plain,
( ! [X0,X1] :
( host(sK4) != host(sK4)
| norm != index(status,host(sK4))
| ~ setIn(sK4,alive)
| host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl12_23
| ~ spl12_101 ),
inference(superposition,[],[f879,f464]) ).
fof(f879,plain,
( ! [X28,X26,X27] :
( host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) )
| ~ spl12_101 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1566,plain,
( spl12_185
| ~ spl12_55
| ~ spl12_84 ),
inference(avatar_split_clause,[],[f820,f784,f658,f1564]) ).
fof(f1564,plain,
( spl12_185
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_185])]) ).
fof(f820,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl12_55
| ~ spl12_84 ),
inference(resolution,[],[f785,f659]) ).
fof(f1557,plain,
( spl12_183
| spl12_184
| ~ spl12_30
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1194,f1157,f504,f1554,f1550]) ).
fof(f504,plain,
( spl12_30
<=> elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f1194,plain,
( m_Halt(sK2) = m_Ack(sK7,sK5)
| elem(m_Ack(sK7,sK5),queue(host(sK7)))
| ~ spl12_30
| ~ spl12_140 ),
inference(resolution,[],[f1158,f506]) ).
fof(f506,plain,
( elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f1548,plain,
( spl12_182
| ~ spl12_54
| ~ spl12_170 ),
inference(avatar_split_clause,[],[f1446,f1443,f653,f1545]) ).
fof(f1545,plain,
( spl12_182
<=> leq(zero,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_182])]) ).
fof(f1443,plain,
( spl12_170
<=> ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_170])]) ).
fof(f1446,plain,
( leq(zero,host(sK5))
| ~ spl12_54
| ~ spl12_170 ),
inference(resolution,[],[f1444,f655]) ).
fof(f1444,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK5)) )
| ~ spl12_170 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1543,plain,
( spl12_181
| ~ spl12_44
| ~ spl12_117 ),
inference(avatar_split_clause,[],[f1007,f967,f593,f1541]) ).
fof(f1541,plain,
( spl12_181
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_181])]) ).
fof(f593,plain,
( spl12_44
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f1007,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl12_44
| ~ spl12_117 ),
inference(resolution,[],[f968,f594]) ).
fof(f594,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl12_44 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1539,plain,
( spl12_180
| ~ spl12_57
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f869,f847,f666,f1537]) ).
fof(f1537,plain,
( spl12_180
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_180])]) ).
fof(f666,plain,
( spl12_57
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
fof(f869,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl12_57
| ~ spl12_97 ),
inference(resolution,[],[f848,f667]) ).
fof(f667,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl12_57 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1518,plain,
( spl12_179
| ~ spl12_155
| ~ spl12_178 ),
inference(avatar_split_clause,[],[f1514,f1510,f1292,f1516]) ).
fof(f1516,plain,
( spl12_179
<=> ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_179])]) ).
fof(f1510,plain,
( spl12_178
<=> ! [X0] :
( ~ leq(X0,host(sK6))
| host(sK6) = X0
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_178])]) ).
fof(f1514,plain,
( ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK5)) )
| ~ spl12_155
| ~ spl12_178 ),
inference(forward_demodulation,[],[f1513,f1294]) ).
fof(f1513,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK6) = X0
| leq(X0,host(sK5)) )
| ~ spl12_155
| ~ spl12_178 ),
inference(forward_demodulation,[],[f1511,f1294]) ).
fof(f1511,plain,
( ! [X0] :
( ~ leq(X0,host(sK6))
| host(sK6) = X0
| leq(X0,host(sK5)) )
| ~ spl12_178 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1512,plain,
( spl12_178
| ~ spl12_25
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f1176,f1145,f473,f1510]) ).
fof(f1176,plain,
( ! [X0] :
( ~ leq(X0,host(sK6))
| host(sK6) = X0
| leq(X0,host(sK5)) )
| ~ spl12_25
| ~ spl12_137 ),
inference(superposition,[],[f1146,f475]) ).
fof(f1508,plain,
( spl12_177
| ~ spl12_20
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f1175,f1145,f446,f1506]) ).
fof(f1506,plain,
( spl12_177
<=> ! [X0] :
( ~ leq(X0,host(sK7))
| host(sK7) = X0
| leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_177])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ leq(X0,host(sK7))
| host(sK7) = X0
| leq(X0,s(zero)) )
| ~ spl12_20
| ~ spl12_137 ),
inference(superposition,[],[f1146,f448]) ).
fof(f1504,plain,
( spl12_175
| spl12_176
| ~ spl12_29
| ~ spl12_140 ),
inference(avatar_split_clause,[],[f1193,f1157,f499,f1501,f1497]) ).
fof(f499,plain,
( spl12_29
<=> elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f1193,plain,
( m_Halt(sK2) = m_Down(sK6)
| elem(m_Down(sK6),queue(host(sK7)))
| ~ spl12_29
| ~ spl12_140 ),
inference(resolution,[],[f1158,f501]) ).
fof(f501,plain,
( elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f1495,plain,
( ~ spl12_174
| spl12_79
| ~ spl12_155 ),
inference(avatar_split_clause,[],[f1302,f1292,f761,f1492]) ).
fof(f1492,plain,
( spl12_174
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_174])]) ).
fof(f761,plain,
( spl12_79
<=> leq(host(sK6),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f1302,plain,
( ~ leq(nbr_proc,host(sK5))
| spl12_79
| ~ spl12_155 ),
inference(superposition,[],[f763,f1294]) ).
fof(f763,plain,
( ~ leq(host(sK6),host(sK5))
| spl12_79 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1490,plain,
( ~ spl12_172
| spl12_173
| ~ spl12_155
| ~ spl12_171 ),
inference(avatar_split_clause,[],[f1482,f1478,f1292,f1488,f1484]) ).
fof(f1484,plain,
( spl12_172
<=> nbr_proc = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f1488,plain,
( spl12_173
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_173])]) ).
fof(f1478,plain,
( spl12_171
<=> ! [X0] :
( host(X0) != host(sK6)
| host(X0) != host(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_171])]) ).
fof(f1482,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != host(sK5) )
| ~ spl12_155
| ~ spl12_171 ),
inference(inner_rewriting,[],[f1481]) ).
fof(f1481,plain,
( ! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK5) )
| ~ spl12_155
| ~ spl12_171 ),
inference(forward_demodulation,[],[f1479,f1294]) ).
fof(f1479,plain,
( ! [X0] :
( host(X0) != host(sK6)
| host(X0) != host(sK5) )
| ~ spl12_171 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1480,plain,
( spl12_171
| ~ spl12_25
| ~ spl12_136 ),
inference(avatar_split_clause,[],[f1167,f1141,f473,f1478]) ).
fof(f1141,plain,
( spl12_136
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_136])]) ).
fof(f1167,plain,
( ! [X0] :
( host(X0) != host(sK6)
| host(X0) != host(sK5) )
| ~ spl12_25
| ~ spl12_136 ),
inference(superposition,[],[f1142,f475]) ).
fof(f1142,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl12_136 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1445,plain,
( spl12_170
| ~ spl12_155
| ~ spl12_169 ),
inference(avatar_split_clause,[],[f1441,f1438,f1292,f1443]) ).
fof(f1438,plain,
( spl12_169
<=> ! [X0] :
( ~ leq(s(X0),host(sK6))
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_169])]) ).
fof(f1441,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK5)) )
| ~ spl12_155
| ~ spl12_169 ),
inference(forward_demodulation,[],[f1439,f1294]) ).
fof(f1439,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK6))
| leq(X0,host(sK5)) )
| ~ spl12_169 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1440,plain,
( spl12_169
| ~ spl12_25
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1005,f959,f473,f1438]) ).
fof(f1005,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK6))
| leq(X0,host(sK5)) )
| ~ spl12_25
| ~ spl12_115 ),
inference(superposition,[],[f960,f475]) ).
fof(f1436,plain,
( spl12_168
| ~ spl12_20
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1004,f959,f446,f1434]) ).
fof(f1434,plain,
( spl12_168
<=> ! [X0] :
( ~ leq(s(X0),host(sK7))
| leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_168])]) ).
fof(f1004,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK7))
| leq(X0,s(zero)) )
| ~ spl12_20
| ~ spl12_115 ),
inference(superposition,[],[f960,f448]) ).
fof(f1427,plain,
( spl12_167
| ~ spl12_155
| ~ spl12_166 ),
inference(avatar_split_clause,[],[f1423,f1420,f1292,f1425]) ).
fof(f1420,plain,
( spl12_166
<=> ! [X0] :
( ~ leq(host(sK6),s(X0))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_166])]) ).
fof(f1423,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK5),X0) )
| ~ spl12_155
| ~ spl12_166 ),
inference(forward_demodulation,[],[f1421,f1294]) ).
fof(f1421,plain,
( ! [X0] :
( ~ leq(host(sK6),s(X0))
| leq(host(sK5),X0) )
| ~ spl12_166 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1422,plain,
( spl12_166
| ~ spl12_25
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1003,f959,f473,f1420]) ).
fof(f1003,plain,
( ! [X0] :
( ~ leq(host(sK6),s(X0))
| leq(host(sK5),X0) )
| ~ spl12_25
| ~ spl12_115 ),
inference(superposition,[],[f960,f475]) ).
fof(f1418,plain,
( spl12_165
| ~ spl12_20
| ~ spl12_115 ),
inference(avatar_split_clause,[],[f1002,f959,f446,f1416]) ).
fof(f1416,plain,
( spl12_165
<=> ! [X0] :
( ~ leq(host(sK7),s(X0))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f1002,plain,
( ! [X0] :
( ~ leq(host(sK7),s(X0))
| leq(s(zero),X0) )
| ~ spl12_20
| ~ spl12_115 ),
inference(superposition,[],[f960,f448]) ).
fof(f1408,plain,
( spl12_164
| ~ spl12_155
| ~ spl12_163 ),
inference(avatar_split_clause,[],[f1404,f1401,f1292,f1406]) ).
fof(f1406,plain,
( spl12_164
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f1401,plain,
( spl12_163
<=> ! [X0] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_163])]) ).
fof(f1404,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK5)) )
| ~ spl12_155
| ~ spl12_163 ),
inference(forward_demodulation,[],[f1402,f1294]) ).
fof(f1402,plain,
( ! [X0] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl12_163 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1403,plain,
( spl12_163
| ~ spl12_25
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f996,f955,f473,f1401]) ).
fof(f996,plain,
( ! [X0] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl12_25
| ~ spl12_114 ),
inference(superposition,[],[f956,f475]) ).
fof(f1399,plain,
( spl12_162
| ~ spl12_20
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f995,f955,f446,f1397]) ).
fof(f995,plain,
( ! [X0] :
( leq(s(X0),host(sK7))
| ~ leq(X0,s(zero)) )
| ~ spl12_20
| ~ spl12_114 ),
inference(superposition,[],[f956,f448]) ).
fof(f1383,plain,
( spl12_161
| ~ spl12_155
| ~ spl12_160 ),
inference(avatar_split_clause,[],[f1379,f1376,f1292,f1381]) ).
fof(f1381,plain,
( spl12_161
<=> ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_161])]) ).
fof(f1376,plain,
( spl12_160
<=> ! [X0] :
( leq(host(sK6),s(X0))
| ~ leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_160])]) ).
fof(f1379,plain,
( ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK5),X0) )
| ~ spl12_155
| ~ spl12_160 ),
inference(forward_demodulation,[],[f1377,f1294]) ).
fof(f1377,plain,
( ! [X0] :
( leq(host(sK6),s(X0))
| ~ leq(host(sK5),X0) )
| ~ spl12_160 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1378,plain,
( spl12_160
| ~ spl12_25
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f994,f955,f473,f1376]) ).
fof(f994,plain,
( ! [X0] :
( leq(host(sK6),s(X0))
| ~ leq(host(sK5),X0) )
| ~ spl12_25
| ~ spl12_114 ),
inference(superposition,[],[f956,f475]) ).
fof(f1374,plain,
( spl12_159
| ~ spl12_20
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f993,f955,f446,f1372]) ).
fof(f1372,plain,
( spl12_159
<=> ! [X0] :
( leq(host(sK7),s(X0))
| ~ leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_159])]) ).
fof(f993,plain,
( ! [X0] :
( leq(host(sK7),s(X0))
| ~ leq(s(zero),X0) )
| ~ spl12_20
| ~ spl12_114 ),
inference(superposition,[],[f956,f448]) ).
fof(f1367,plain,
( spl12_158
| ~ spl12_5
| ~ spl12_14
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f450,f446,f413,f366,f1364]) ).
fof(f450,plain,
( s(zero) = s(s(zero))
| ~ spl12_5
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f448,f417]) ).
fof(f1362,plain,
( ~ spl12_157
| ~ spl12_14
| spl12_18 ),
inference(avatar_split_clause,[],[f439,f435,f413,f1359]) ).
fof(f1359,plain,
( spl12_157
<=> sK4 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_157])]) ).
fof(f439,plain,
( sK4 != sK7
| ~ spl12_14
| spl12_18 ),
inference(superposition,[],[f436,f415]) ).
fof(f436,plain,
( sK2 != sK4
| spl12_18 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1344,plain,
( spl12_156
| ~ spl12_13
| ~ spl12_16
| ~ spl12_52 ),
inference(avatar_split_clause,[],[f643,f632,f425,f409,f1341]) ).
fof(f1341,plain,
( spl12_156
<=> sK7 = index(elid,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_156])]) ).
fof(f632,plain,
( spl12_52
<=> ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
fof(f643,plain,
( ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7))
| ~ spl12_16
| ~ spl12_52 ),
inference(trivial_inequality_removal,[],[f641]) ).
fof(f641,plain,
( elec_2 != elec_2
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7))
| ~ spl12_16
| ~ spl12_52 ),
inference(superposition,[],[f633,f427]) ).
fof(f633,plain,
( ! [X29] :
( elec_2 != index(status,host(X29))
| ~ setIn(X29,alive)
| index(elid,host(X29)) = X29 )
| ~ spl12_52 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f1299,plain,
( ~ spl12_56
| spl12_154 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| ~ spl12_56
| spl12_154 ),
inference(resolution,[],[f1290,f663]) ).
fof(f1290,plain,
( ~ leq(host(sK6),nbr_proc)
| spl12_154 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl12_154
<=> leq(host(sK6),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_154])]) ).
fof(f1295,plain,
( ~ spl12_154
| spl12_155
| ~ spl12_3
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1043,f1021,f356,f1292,f1288]) ).
fof(f356,plain,
( spl12_3
<=> leq(nbr_proc,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f1043,plain,
( nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc)
| ~ spl12_3
| ~ spl12_124 ),
inference(resolution,[],[f1022,f358]) ).
fof(f358,plain,
( leq(nbr_proc,host(sK6))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f1286,plain,
( spl12_153
| ~ spl12_25
| ~ spl12_100 ),
inference(avatar_split_clause,[],[f876,f859,f473,f1284]) ).
fof(f1284,plain,
( spl12_153
<=> ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_153])]) ).
fof(f876,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl12_25
| ~ spl12_100 ),
inference(superposition,[],[f860,f475]) ).
fof(f1279,plain,
( spl12_152
| ~ spl12_3
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1055,f1025,f356,f1277]) ).
fof(f1055,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,nbr_proc) )
| ~ spl12_3
| ~ spl12_125 ),
inference(resolution,[],[f1026,f358]) ).
fof(f1275,plain,
( ~ spl12_150
| spl12_151
| ~ spl12_32
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f1044,f1021,f513,f1272,f1268]) ).
fof(f1268,plain,
( spl12_150
<=> leq(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_150])]) ).
fof(f1272,plain,
( spl12_151
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_151])]) ).
fof(f1044,plain,
( sK2 = sK3
| ~ leq(sK2,sK3)
| ~ spl12_32
| ~ spl12_124 ),
inference(resolution,[],[f1022,f515]) ).
fof(f1250,plain,
spl12_149,
inference(avatar_split_clause,[],[f289,f1248]) ).
fof(f289,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(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,[sK11])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1246,plain,
spl12_148,
inference(avatar_split_clause,[],[f280,f1244]) ).
fof(f280,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(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,[sK10])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1237,plain,
spl12_147,
inference(avatar_split_clause,[],[f312,f1235]) ).
fof(f312,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(f1226,plain,
( spl12_145
| spl12_146 ),
inference(avatar_split_clause,[],[f201,f1224,f1221]) ).
fof(f201,plain,
! [X10,X8,X9,X7] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( norm = index(status,host(sK4))
& host(sK4) = index(ldr,host(sK4))
& ( sK2 = sK4
| setIn(sK4,alive) )
& host(sK6) = s(index(pendack,host(sK7)))
& index(pendack,host(sK7)) = host(sK5)
& elec_2 = index(status,host(sK7))
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& ( sK2 = sK7
| setIn(sK7,alive) )
& host(sK2) != host(sK7)
& s(host(sK2)) = host(sK7)
& host(sK2) != host(sK4)
& ~ leq(nbr_proc,host(sK2))
& s(zero) = host(sK2)
& host(sK2) = host(sK3)
& ~ setIn(sK2,pids)
& ! [X6] :
( leq(X6,sK2)
| host(X6) != host(sK3) )
& q_nil = queue(host(sK3))
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X12) != host(X14)
| ~ elem(m_Down(X13),queue(host(X14)))
| ( host(X13) != sK8(X13,X14)
& ~ setIn(sK8(X13,X14),index(down,host(X14)))
& leq(s(zero),sK8(X13,X14))
& ~ leq(host(X14),sK8(X13,X14)) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22] :
( 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] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) )
& ! [X45] :
( ~ setIn(X45,alive)
| host(X45) != host(sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3,X4,X5] :
( norm = index(status,host(X2))
& host(X2) = index(ldr,host(X2))
& ( X0 = X2
| setIn(X2,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(X0)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(X0)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( X0 = X5
| setIn(X5,alive) )
& host(X0) != host(X5)
& host(X5) = s(host(X0)) )
& host(X0) != host(X2) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& host(X0) = host(X1)
& ~ setIn(X0,pids)
& ! [X6] :
( leq(X6,X0)
| host(X1) != host(X6) )
& q_nil = queue(host(X1))
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X12) != host(X14)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22] :
( 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] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) )
& ! [X45] :
( ~ setIn(X45,alive)
| host(X1) != host(X45) ) )
=> ( ? [X2] :
( ? [X5,X4,X3] :
( norm = index(status,host(X2))
& host(X2) = index(ldr,host(X2))
& ( sK2 = X2
| setIn(X2,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(sK2)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( sK2 = X5
| setIn(X5,alive) )
& host(X5) != host(sK2)
& host(X5) = s(host(sK2)) )
& host(X2) != host(sK2) )
& ~ leq(nbr_proc,host(sK2))
& s(zero) = host(sK2)
& host(sK2) = host(sK3)
& ~ setIn(sK2,pids)
& ! [X6] :
( leq(X6,sK2)
| host(X6) != host(sK3) )
& q_nil = queue(host(sK3))
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X12) != host(X14)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22] :
( 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] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) )
& ! [X45] :
( ~ setIn(X45,alive)
| host(X45) != host(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X2] :
( ? [X5,X4,X3] :
( norm = index(status,host(X2))
& host(X2) = index(ldr,host(X2))
& ( sK2 = X2
| setIn(X2,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(sK2)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( sK2 = X5
| setIn(X5,alive) )
& host(X5) != host(sK2)
& host(X5) = s(host(sK2)) )
& host(X2) != host(sK2) )
=> ( ? [X5,X4,X3] :
( norm = index(status,host(sK4))
& host(sK4) = index(ldr,host(sK4))
& ( sK2 = sK4
| setIn(sK4,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(sK2)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( sK2 = X5
| setIn(X5,alive) )
& host(X5) != host(sK2)
& host(X5) = s(host(sK2)) )
& host(sK2) != host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5,X4,X3] :
( norm = index(status,host(sK4))
& host(sK4) = index(ldr,host(sK4))
& ( sK2 = sK4
| setIn(sK4,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(sK2)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( sK2 = X5
| setIn(X5,alive) )
& host(X5) != host(sK2)
& host(X5) = s(host(sK2)) )
=> ( norm = index(status,host(sK4))
& host(sK4) = index(ldr,host(sK4))
& ( sK2 = sK4
| setIn(sK4,alive) )
& host(sK6) = s(index(pendack,host(sK7)))
& index(pendack,host(sK7)) = host(sK5)
& elec_2 = index(status,host(sK7))
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& ( sK2 = sK7
| setIn(sK7,alive) )
& host(sK2) != host(sK7)
& s(host(sK2)) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X13,X14] :
( ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) )
=> ( host(X13) != sK8(X13,X14)
& ~ setIn(sK8(X13,X14),index(down,host(X14)))
& leq(s(zero),sK8(X13,X14))
& ~ leq(host(X14),sK8(X13,X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3,X4,X5] :
( norm = index(status,host(X2))
& host(X2) = index(ldr,host(X2))
& ( X0 = X2
| setIn(X2,alive) )
& host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(X0)))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(X0)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& ( X0 = X5
| setIn(X5,alive) )
& host(X0) != host(X5)
& host(X5) = s(host(X0)) )
& host(X0) != host(X2) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& host(X0) = host(X1)
& ~ setIn(X0,pids)
& ! [X6] :
( leq(X6,X0)
| host(X1) != host(X6) )
& q_nil = queue(host(X1))
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X12) != host(X14)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22] :
( 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] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) )
& ! [X45] :
( ~ setIn(X45,alive)
| host(X1) != host(X45) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1] :
( ? [X42] :
( ? [X43,X44,X45] :
( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& ( X0 = X42
| setIn(X42,alive) )
& host(X44) = s(index(pendack,host(X45)))
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& ( X0 = X45
| setIn(X45,alive) )
& host(X0) != host(X45)
& s(host(X0)) = host(X45) )
& host(X0) != host(X42) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& host(X0) = host(X1)
& ~ setIn(X0,pids)
& ! [X41] :
( leq(X41,X0)
| host(X1) != host(X41) )
& q_nil = queue(host(X1))
& ! [X2,X3,X4,X5] :
( norm != index(status,host(X2))
| host(X2) != index(ldr,host(X2))
| ~ setIn(X2,alive)
| host(X4) != s(index(pendack,host(X5)))
| host(X3) != index(pendack,host(X5))
| elec_2 != index(status,host(X5))
| ~ leq(nbr_proc,s(index(pendack,host(X5))))
| ~ elem(m_Ack(X5,X3),queue(host(X5)))
| ~ elem(m_Down(X4),queue(host(X5)))
| ~ setIn(X5,alive) )
& ! [X6,X7,X8,X9] :
( ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X9))
| nbr_proc != host(X9)
| host(X9) != host(X7)
| ~ elem(m_Down(X8),queue(host(X9)))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| 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(X20) != host(X19)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( norm != index(status,host(X21))
| host(X21) != index(ldr,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ~ setIn(X24,alive)
| ( elec_2 != index(status,host(X24))
& elec_1 != index(status,host(X24)) ) )
& ! [X25,X26] :
( ~ elem(m_Ack(X26,X25),queue(host(X26)))
| elec_1 != index(status,host(X26))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(host(X27),index(pendack,host(X28)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Halt(X35),queue(host(X34))) )
& ! [X36,X37] :
( host(X36) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40] :
( ~ setIn(X40,alive)
| host(X1) != host(X40) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1] :
( ? [X42] :
( ? [X43,X44,X45] :
( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& ( X0 = X42
| setIn(X42,alive) )
& host(X44) = s(index(pendack,host(X45)))
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& ( X0 = X45
| setIn(X45,alive) )
& host(X0) != host(X45)
& s(host(X0)) = host(X45) )
& host(X0) != host(X42) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& host(X0) = host(X1)
& ~ setIn(X0,pids)
& ! [X41] :
( leq(X41,X0)
| host(X1) != host(X41) )
& q_nil = queue(host(X1))
& ! [X2,X3,X4,X5] :
( norm != index(status,host(X2))
| host(X2) != index(ldr,host(X2))
| ~ setIn(X2,alive)
| host(X4) != s(index(pendack,host(X5)))
| host(X3) != index(pendack,host(X5))
| elec_2 != index(status,host(X5))
| ~ leq(nbr_proc,s(index(pendack,host(X5))))
| ~ elem(m_Ack(X5,X3),queue(host(X5)))
| ~ elem(m_Down(X4),queue(host(X5)))
| ~ setIn(X5,alive) )
& ! [X6,X7,X8,X9] :
( ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X9))
| nbr_proc != host(X9)
| host(X9) != host(X7)
| ~ elem(m_Down(X8),queue(host(X9)))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| 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(X20) != host(X19)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( norm != index(status,host(X21))
| host(X21) != index(ldr,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ~ setIn(X24,alive)
| ( elec_2 != index(status,host(X24))
& elec_1 != index(status,host(X24)) ) )
& ! [X25,X26] :
( ~ elem(m_Ack(X26,X25),queue(host(X26)))
| elec_1 != index(status,host(X26))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(host(X27),index(pendack,host(X28)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32,X33] :
( ~ leq(host(X31),host(X33))
| ~ elem(m_Ack(X33,X31),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Halt(X35),queue(host(X34))) )
& ! [X36,X37] :
( host(X36) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40] :
( ~ setIn(X40,alive)
| host(X1) != host(X40) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1] :
( ( ! [X2,X3,X4,X5] :
( ( host(X4) = s(index(pendack,host(X5)))
& host(X3) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Ack(X5,X3),queue(host(X5)))
& elem(m_Down(X4),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( norm = index(status,host(X2))
& host(X2) = index(ldr,host(X2))
& setIn(X2,alive) ) )
& ! [X6,X7,X8,X9] :
( ( elec_1 = index(status,host(X9))
& nbr_proc = host(X9)
& host(X9) = host(X7)
& elem(m_Down(X8),queue(host(X9)))
& ! [X10] :
( ( leq(s(zero),X10)
& ~ leq(host(X9),X10) )
=> ( host(X8) = X10
| setIn(X10,index(down,host(X9))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X11,X12,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X12)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X11)) )
=> ~ ( norm = index(status,host(X11))
& host(X11) = index(ldr,host(X11))
& setIn(X11,alive) ) )
& ! [X14,X15] :
( ( elec_2 = index(status,host(X15))
& elec_2 = index(status,host(X14))
& setIn(X15,alive)
& setIn(X14,alive)
& ~ leq(host(X14),host(X15)) )
=> ~ leq(index(pendack,host(X14)),index(pendack,host(X15))) )
& ! [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(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& elec_2 = index(status,host(X18))
& host(X20) = host(X19)
& setIn(X20,alive)
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X21,X22,X23] :
( ( host(X21) = host(X22)
& elem(m_Down(X22),queue(host(X23)))
& setIn(X23,alive) )
=> ~ ( norm = index(status,host(X21))
& host(X21) = index(ldr,host(X21))
& setIn(X21,alive) ) )
& ! [X24] :
( ( setIn(X24,alive)
& ( elec_2 = index(status,host(X24))
| elec_1 = index(status,host(X24)) ) )
=> index(elid,host(X24)) = X24 )
& ! [X25,X26] :
( ( elec_1 = index(status,host(X26))
& setIn(X26,alive) )
=> ~ elem(m_Ack(X26,X25),queue(host(X26))) )
& ! [X27,X28] :
( ( elem(m_Ack(X28,X27),queue(host(X28)))
& setIn(X28,alive) )
=> leq(host(X27),index(pendack,host(X28))) )
& ! [X29,X30] :
( ( host(X29) = host(X30)
& X29 != X30 )
=> ( ~ setIn(X30,alive)
| ~ setIn(X29,alive) ) )
& ! [X31,X32,X33] :
( elem(m_Ack(X33,X31),queue(host(X32)))
=> ~ leq(host(X31),host(X33)) )
& ! [X34,X35] :
( elem(m_Halt(X35),queue(host(X34)))
=> ~ leq(host(X34),host(X35)) )
& ! [X36,X37] :
( elem(m_Down(X37),queue(host(X36)))
=> host(X36) != host(X37) )
& ! [X38,X39] :
( elem(m_Ldr(X39),queue(host(X38)))
=> ~ leq(host(X38),host(X39)) )
& ! [X40] :
( host(X1) = host(X40)
=> ~ setIn(X40,alive) ) )
=> ( q_nil = queue(host(X1))
=> ( ( host(X0) = host(X1)
& ~ setIn(X0,pids)
& ! [X41] :
( host(X1) = host(X41)
=> leq(X41,X0) ) )
=> ( host(X0) = s(zero)
=> ( ~ leq(nbr_proc,host(X0))
=> ! [X42] :
( host(X0) != host(X42)
=> ! [X43,X44,X45] :
( s(host(X0)) = host(X45)
=> ( host(X0) != host(X45)
=> ( ( host(X44) = s(index(pendack,host(X45)))
& index(pendack,host(X45)) = host(X43)
& elec_2 = index(status,host(X45))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& ( X0 = X45
| setIn(X45,alive) ) )
=> ~ ( norm = index(status,host(X42))
& host(X42) = index(ldr,host(X42))
& ( X0 = X42
| setIn(X42,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12] :
( ( ! [X4,X5,X6,X13] :
( ( host(X6) = s(index(pendack,host(X13)))
& host(X5) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X5),queue(host(X13)))
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4,X5,X6,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X5) = host(X13)
& elem(m_Down(X6),queue(host(X13)))
& ! [X14] :
( ( leq(s(zero),X14)
& ~ leq(host(X13),X14) )
=> ( host(X6) = X14
| setIn(X14,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5,X6] :
( ( elec_2 = index(status,host(X6))
& elem(m_Halt(X6),queue(host(X5)))
& setIn(X6,alive)
& ~ leq(index(pendack,host(X6)),host(X4)) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( elec_2 = index(status,host(X5))
& elec_2 = index(status,host(X4))
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( elec_2 = index(status,host(X5))
& elec_2 = index(status,host(X4))
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X4))
& host(X5) = host(X6)
& setIn(X6,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4,X5,X6] :
( ( host(X4) = host(X5)
& elem(m_Down(X5),queue(host(X6)))
& setIn(X6,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( elec_2 = index(status,host(X4))
| elec_1 = index(status,host(X4)) ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( elec_1 = index(status,host(X5))
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X4) = host(X5)
& X4 != X5 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5,X6] :
( elem(m_Ack(X6,X4),queue(host(X5)))
=> ~ leq(host(X4),host(X6)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X4) != host(X5) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4] :
( host(X4) = host(X12)
=> ~ setIn(X4,alive) ) )
=> ( q_nil = queue(host(X12))
=> ( ( host(X12) = host(X11)
& ~ setIn(X11,pids)
& ! [X4] :
( host(X4) = host(X12)
=> leq(X4,X11) ) )
=> ( s(zero) = host(X11)
=> ( ~ leq(nbr_proc,host(X11))
=> ! [X4] :
( host(X4) != host(X11)
=> ! [X5,X6,X15] :
( s(host(X11)) = host(X15)
=> ( host(X11) != host(X15)
=> ( ( host(X6) = s(index(pendack,host(X15)))
& host(X5) = index(pendack,host(X15))
& elec_2 = index(status,host(X15))
& elem(m_Ack(X15,X5),snoc(queue(host(X15)),m_Halt(X11)))
& elem(m_Down(X6),snoc(queue(host(X15)),m_Halt(X11)))
& leq(nbr_proc,s(index(pendack,host(X15))))
& ( X11 = X15
| setIn(X15,alive) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& ( X4 = X11
| setIn(X4,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12] :
( ( ! [X4,X5,X6,X13] :
( ( host(X6) = s(index(pendack,host(X13)))
& host(X5) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X5),queue(host(X13)))
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4,X5,X6,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X5) = host(X13)
& elem(m_Down(X6),queue(host(X13)))
& ! [X14] :
( ( leq(s(zero),X14)
& ~ leq(host(X13),X14) )
=> ( host(X6) = X14
| setIn(X14,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5,X6] :
( ( elec_2 = index(status,host(X6))
& elem(m_Halt(X6),queue(host(X5)))
& setIn(X6,alive)
& ~ leq(index(pendack,host(X6)),host(X4)) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( elec_2 = index(status,host(X5))
& elec_2 = index(status,host(X4))
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( elec_2 = index(status,host(X5))
& elec_2 = index(status,host(X4))
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X4))
& host(X5) = host(X6)
& setIn(X6,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4,X5,X6] :
( ( host(X4) = host(X5)
& elem(m_Down(X5),queue(host(X6)))
& setIn(X6,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( elec_2 = index(status,host(X4))
| elec_1 = index(status,host(X4)) ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( elec_1 = index(status,host(X5))
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X4) = host(X5)
& X4 != X5 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5,X6] :
( elem(m_Ack(X6,X4),queue(host(X5)))
=> ~ leq(host(X4),host(X6)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X4) != host(X5) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4] :
( host(X4) = host(X12)
=> ~ setIn(X4,alive) ) )
=> ( q_nil = queue(host(X12))
=> ( ( host(X12) = host(X11)
& ~ setIn(X11,pids)
& ! [X4] :
( host(X4) = host(X12)
=> leq(X4,X11) ) )
=> ( s(zero) = host(X11)
=> ( ~ leq(nbr_proc,host(X11))
=> ! [X4] :
( host(X4) != host(X11)
=> ! [X5,X6,X15] :
( s(host(X11)) = host(X15)
=> ( host(X11) != host(X15)
=> ( ( host(X6) = s(index(pendack,host(X15)))
& host(X5) = index(pendack,host(X15))
& elec_2 = index(status,host(X15))
& elem(m_Ack(X15,X5),snoc(queue(host(X15)),m_Halt(X11)))
& elem(m_Down(X6),snoc(queue(host(X15)),m_Halt(X11)))
& leq(nbr_proc,s(index(pendack,host(X15))))
& ( X11 = X15
| setIn(X15,alive) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& ( X4 = X11
| setIn(X4,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f1213,plain,
spl12_144,
inference(avatar_split_clause,[],[f293,f1211]) ).
fof(f1211,plain,
( spl12_144
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_144])]) ).
fof(f293,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1209,plain,
spl12_143,
inference(avatar_split_clause,[],[f284,f1207]) ).
fof(f1207,plain,
( spl12_143
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f284,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1205,plain,
spl12_142,
inference(avatar_split_clause,[],[f243,f1203]) ).
fof(f243,plain,
! [X0] :
( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1164,plain,
( spl12_141
| ~ spl12_84
| spl12_128 ),
inference(avatar_split_clause,[],[f1124,f1072,f784,f1161]) ).
fof(f1161,plain,
( spl12_141
<=> leq(zero,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_141])]) ).
fof(f1072,plain,
( spl12_128
<=> leq(host(sK7),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_128])]) ).
fof(f1124,plain,
( leq(zero,host(sK7))
| ~ spl12_84
| spl12_128 ),
inference(resolution,[],[f1074,f785]) ).
fof(f1074,plain,
( ~ leq(host(sK7),zero)
| spl12_128 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1159,plain,
spl12_140,
inference(avatar_split_clause,[],[f316,f1157]) ).
fof(f316,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[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(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(f1155,plain,
spl12_139,
inference(avatar_split_clause,[],[f313,f1153]) ).
fof(f313,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[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(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(f1151,plain,
spl12_138,
inference(avatar_split_clause,[],[f309,f1149]) ).
fof(f309,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(f1147,plain,
spl12_137,
inference(avatar_split_clause,[],[f298,f1145]) ).
fof(f298,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f1143,plain,
spl12_136,
inference(avatar_split_clause,[],[f265,f1141]) ).
fof(f265,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(f1103,plain,
spl12_135,
inference(avatar_split_clause,[],[f320,f1101]) ).
fof(f1101,plain,
( spl12_135
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_135])]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f1099,plain,
spl12_134,
inference(avatar_split_clause,[],[f319,f1097]) ).
fof(f1097,plain,
( spl12_134
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_134])]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f1095,plain,
spl12_133,
inference(avatar_split_clause,[],[f294,f1093]) ).
fof(f294,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1091,plain,
spl12_132,
inference(avatar_split_clause,[],[f285,f1089]) ).
fof(f285,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1087,plain,
spl12_131,
inference(avatar_split_clause,[],[f267,f1085]) ).
fof(f267,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(f1083,plain,
spl12_130,
inference(avatar_split_clause,[],[f266,f1081]) ).
fof(f266,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1079,plain,
spl12_129,
inference(avatar_split_clause,[],[f242,f1077]) ).
fof(f242,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(f1075,plain,
( ~ spl12_128
| spl12_70
| ~ spl12_100 ),
inference(avatar_split_clause,[],[f874,f859,f724,f1072]) ).
fof(f724,plain,
( spl12_70
<=> leq(host(sK7),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
fof(f874,plain,
( ~ leq(host(sK7),zero)
| spl12_70
| ~ spl12_100 ),
inference(resolution,[],[f860,f726]) ).
fof(f726,plain,
( ~ leq(host(sK7),s(zero))
| spl12_70 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1070,plain,
spl12_127,
inference(avatar_split_clause,[],[f241,f1068]) ).
fof(f241,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(f1060,plain,
spl12_126,
inference(avatar_split_clause,[],[f196,f1058]) ).
fof(f196,plain,
! [X18,X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1027,plain,
spl12_125,
inference(avatar_split_clause,[],[f311,f1025]) ).
fof(f311,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(f1023,plain,
spl12_124,
inference(avatar_split_clause,[],[f301,f1021]) ).
fof(f301,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f1019,plain,
spl12_123,
inference(avatar_split_clause,[],[f297,f1017]) ).
fof(f297,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f1015,plain,
spl12_122,
inference(avatar_split_clause,[],[f288,f1013]) ).
fof(f288,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f989,plain,
( spl12_121
| ~ spl12_84
| spl12_104 ),
inference(avatar_split_clause,[],[f952,f901,f784,f986]) ).
fof(f986,plain,
( spl12_121
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_121])]) ).
fof(f901,plain,
( spl12_104
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_104])]) ).
fof(f952,plain,
( leq(zero,nbr_proc)
| ~ spl12_84
| spl12_104 ),
inference(resolution,[],[f903,f785]) ).
fof(f903,plain,
( ~ leq(nbr_proc,zero)
| spl12_104 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f981,plain,
spl12_120,
inference(avatar_split_clause,[],[f318,f979]) ).
fof(f318,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f977,plain,
spl12_119,
inference(avatar_split_clause,[],[f315,f975]) ).
fof(f315,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f973,plain,
spl12_118,
inference(avatar_split_clause,[],[f310,f971]) ).
fof(f310,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(f969,plain,
spl12_117,
inference(avatar_split_clause,[],[f290,f967]) ).
fof(f290,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f965,plain,
spl12_116,
inference(avatar_split_clause,[],[f281,f963]) ).
fof(f281,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f961,plain,
spl12_115,
inference(avatar_split_clause,[],[f279,f959]) ).
fof(f279,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f957,plain,
spl12_114,
inference(avatar_split_clause,[],[f278,f955]) ).
fof(f278,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f951,plain,
spl12_113,
inference(avatar_split_clause,[],[f276,f949]) ).
fof(f949,plain,
( spl12_113
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_113])]) ).
fof(f276,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f947,plain,
spl12_112,
inference(avatar_split_clause,[],[f274,f945]) ).
fof(f945,plain,
( spl12_112
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_112])]) ).
fof(f274,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f943,plain,
spl12_111,
inference(avatar_split_clause,[],[f272,f941]) ).
fof(f941,plain,
( spl12_111
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_111])]) ).
fof(f272,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f939,plain,
spl12_110,
inference(avatar_split_clause,[],[f270,f937]) ).
fof(f937,plain,
( spl12_110
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_110])]) ).
fof(f270,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f935,plain,
spl12_109,
inference(avatar_split_clause,[],[f268,f933]) ).
fof(f933,plain,
( spl12_109
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_109])]) ).
fof(f268,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f925,plain,
( spl12_106
| ~ spl12_107
| spl12_108 ),
inference(avatar_split_clause,[],[f341,f923,f919,f916]) ).
fof(f916,plain,
( spl12_106
<=> ! [X13,X14] :
( nbr_proc != host(X14)
| ~ elem(m_Down(X13),queue(nbr_proc))
| ~ leq(nbr_proc,sK8(X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_106])]) ).
fof(f919,plain,
( spl12_107
<=> elec_1 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_107])]) ).
fof(f923,plain,
( spl12_108
<=> ! [X12,X11] :
( ~ elem(m_Down(X12),queue(host(X11)))
| nbr_proc != host(X12)
| ~ setIn(X11,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_108])]) ).
fof(f341,plain,
! [X11,X14,X12,X13] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X14)
| nbr_proc != host(X12)
| ~ elem(m_Down(X13),queue(nbr_proc))
| ~ leq(nbr_proc,sK8(X13,X14)) ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
! [X11,X14,X12,X13] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X12) != host(X14)
| ~ elem(m_Down(X13),queue(host(X14)))
| ~ leq(host(X14),sK8(X13,X14)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f914,plain,
spl12_105,
inference(avatar_split_clause,[],[f195,f912]) ).
fof(f195,plain,
! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f904,plain,
( ~ spl12_104
| spl12_4
| ~ spl12_100 ),
inference(avatar_split_clause,[],[f872,f859,f361,f901]) ).
fof(f361,plain,
( spl12_4
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f872,plain,
( ~ leq(nbr_proc,zero)
| spl12_4
| ~ spl12_100 ),
inference(resolution,[],[f860,f363]) ).
fof(f363,plain,
( ~ leq(nbr_proc,s(zero))
| spl12_4 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f888,plain,
spl12_103,
inference(avatar_split_clause,[],[f194,f886]) ).
fof(f194,plain,
! [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)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f884,plain,
spl12_102,
inference(avatar_split_clause,[],[f193,f882]) ).
fof(f193,plain,
! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f880,plain,
spl12_101,
inference(avatar_split_clause,[],[f192,f878]) ).
fof(f192,plain,
! [X28,X26,X27] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ setIn(X28,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f861,plain,
spl12_100,
inference(avatar_split_clause,[],[f300,f859]) ).
fof(f300,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f857,plain,
spl12_99,
inference(avatar_split_clause,[],[f296,f855]) ).
fof(f296,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f853,plain,
spl12_98,
inference(avatar_split_clause,[],[f292,f851]) ).
fof(f292,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f849,plain,
spl12_97,
inference(avatar_split_clause,[],[f287,f847]) ).
fof(f287,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f845,plain,
spl12_96,
inference(avatar_split_clause,[],[f283,f843]) ).
fof(f283,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f841,plain,
spl12_95,
inference(avatar_split_clause,[],[f263,f839]) ).
fof(f263,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(f837,plain,
spl12_94,
inference(avatar_split_clause,[],[f238,f835]) ).
fof(f238,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(f833,plain,
( spl12_93
| spl12_79
| ~ spl12_84 ),
inference(avatar_split_clause,[],[f822,f784,f761,f830]) ).
fof(f830,plain,
( spl12_93
<=> leq(host(sK5),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_93])]) ).
fof(f822,plain,
( leq(host(sK5),host(sK6))
| spl12_79
| ~ spl12_84 ),
inference(resolution,[],[f785,f763]) ).
fof(f818,plain,
( spl12_92
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f533,f518,f816]) ).
fof(f518,plain,
( spl12_33
<=> ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f533,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl12_33 ),
inference(equality_resolution,[],[f519]) ).
fof(f519,plain,
( ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f814,plain,
spl12_91,
inference(avatar_split_clause,[],[f308,f812]) ).
fof(f812,plain,
( spl12_91
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f308,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(f810,plain,
spl12_90,
inference(avatar_split_clause,[],[f307,f808]) ).
fof(f307,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(f806,plain,
spl12_89,
inference(avatar_split_clause,[],[f306,f804]) ).
fof(f804,plain,
( spl12_89
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
fof(f306,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(f802,plain,
spl12_88,
inference(avatar_split_clause,[],[f305,f800]) ).
fof(f800,plain,
( spl12_88
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f305,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(f798,plain,
spl12_87,
inference(avatar_split_clause,[],[f304,f796]) ).
fof(f796,plain,
( spl12_87
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f304,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(f794,plain,
spl12_86,
inference(avatar_split_clause,[],[f295,f792]) ).
fof(f295,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f790,plain,
spl12_85,
inference(avatar_split_clause,[],[f286,f788]) ).
fof(f286,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f786,plain,
spl12_84,
inference(avatar_split_clause,[],[f262,f784]) ).
fof(f262,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(f782,plain,
spl12_83,
inference(avatar_split_clause,[],[f261,f780]) ).
fof(f261,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(f778,plain,
spl12_82,
inference(avatar_split_clause,[],[f260,f776]) ).
fof(f260,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(f774,plain,
spl12_81,
inference(avatar_split_clause,[],[f259,f772]) ).
fof(f772,plain,
( spl12_81
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f259,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(f770,plain,
spl12_80,
inference(avatar_split_clause,[],[f258,f768]) ).
fof(f768,plain,
( spl12_80
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f258,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(f764,plain,
( ~ spl12_79
| ~ spl12_25
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f670,f658,f473,f761]) ).
fof(f670,plain,
( ~ leq(host(sK6),host(sK5))
| ~ spl12_25
| ~ spl12_55 ),
inference(superposition,[],[f659,f475]) ).
fof(f759,plain,
spl12_78,
inference(avatar_split_clause,[],[f333,f757]) ).
fof(f333,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f317]) ).
fof(f317,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f755,plain,
spl12_77,
inference(avatar_split_clause,[],[f332,f753]) ).
fof(f332,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f751,plain,
spl12_76,
inference(avatar_split_clause,[],[f291,f749]) ).
fof(f749,plain,
( spl12_76
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f291,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f747,plain,
spl12_75,
inference(avatar_split_clause,[],[f282,f745]) ).
fof(f745,plain,
( spl12_75
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f282,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f743,plain,
spl12_74,
inference(avatar_split_clause,[],[f257,f741]) ).
fof(f741,plain,
( spl12_74
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
fof(f257,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(f739,plain,
spl12_73,
inference(avatar_split_clause,[],[f256,f737]) ).
fof(f737,plain,
( spl12_73
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f256,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(f735,plain,
spl12_72,
inference(avatar_split_clause,[],[f255,f733]) ).
fof(f733,plain,
( spl12_72
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
fof(f255,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(f731,plain,
spl12_71,
inference(avatar_split_clause,[],[f254,f729]) ).
fof(f729,plain,
( spl12_71
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f254,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(f727,plain,
( ~ spl12_70
| ~ spl12_20
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f669,f658,f446,f724]) ).
fof(f669,plain,
( ~ leq(host(sK7),s(zero))
| ~ spl12_20
| ~ spl12_55 ),
inference(superposition,[],[f659,f448]) ).
fof(f722,plain,
spl12_69,
inference(avatar_split_clause,[],[f253,f720]) ).
fof(f720,plain,
( spl12_69
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
fof(f253,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(f718,plain,
spl12_68,
inference(avatar_split_clause,[],[f252,f716]) ).
fof(f252,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(f714,plain,
spl12_67,
inference(avatar_split_clause,[],[f251,f712]) ).
fof(f712,plain,
( spl12_67
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
fof(f251,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(f710,plain,
spl12_66,
inference(avatar_split_clause,[],[f250,f708]) ).
fof(f708,plain,
( spl12_66
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
fof(f250,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(f706,plain,
spl12_65,
inference(avatar_split_clause,[],[f249,f704]) ).
fof(f704,plain,
( spl12_65
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
fof(f249,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(f702,plain,
spl12_64,
inference(avatar_split_clause,[],[f248,f700]) ).
fof(f700,plain,
( spl12_64
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f248,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(f698,plain,
spl12_63,
inference(avatar_split_clause,[],[f247,f696]) ).
fof(f696,plain,
( spl12_63
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f247,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(f694,plain,
spl12_62,
inference(avatar_split_clause,[],[f246,f692]) ).
fof(f692,plain,
( spl12_62
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f246,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(f690,plain,
spl12_61,
inference(avatar_split_clause,[],[f237,f688]) ).
fof(f237,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(f686,plain,
spl12_60,
inference(avatar_split_clause,[],[f236,f684]) ).
fof(f236,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(f682,plain,
spl12_59,
inference(avatar_split_clause,[],[f235,f680]) ).
fof(f235,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(f676,plain,
spl12_58,
inference(avatar_split_clause,[],[f188,f674]) ).
fof(f674,plain,
( spl12_58
<=> ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
fof(f188,plain,
! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f668,plain,
spl12_57,
inference(avatar_split_clause,[],[f343,f666]) ).
fof(f343,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f240,f238]) ).
fof(f240,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(f664,plain,
spl12_56,
inference(avatar_split_clause,[],[f234,f662]) ).
fof(f234,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(f660,plain,
spl12_55,
inference(avatar_split_clause,[],[f233,f658]) ).
fof(f233,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(f656,plain,
spl12_54,
inference(avatar_split_clause,[],[f229,f653]) ).
fof(f229,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(f647,plain,
spl12_53,
inference(avatar_split_clause,[],[f189,f645]) ).
fof(f645,plain,
( spl12_53
<=> ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
fof(f189,plain,
! [X31,X30] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f634,plain,
spl12_52,
inference(avatar_split_clause,[],[f191,f632]) ).
fof(f191,plain,
! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f630,plain,
spl12_51,
inference(avatar_split_clause,[],[f190,f628]) ).
fof(f628,plain,
( spl12_51
<=> ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_1 != index(status,host(X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
fof(f190,plain,
! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| elec_1 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f620,plain,
spl12_50,
inference(avatar_split_clause,[],[f187,f618]) ).
fof(f618,plain,
( spl12_50
<=> ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f187,plain,
! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f616,plain,
( ~ spl12_49
| ~ spl12_5
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f492,f482,f366,f613]) ).
fof(f613,plain,
( spl12_49
<=> setIn(sK2,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f482,plain,
( spl12_27
<=> ! [X45] :
( s(zero) != host(X45)
| ~ setIn(X45,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f492,plain,
( ~ setIn(sK2,alive)
| ~ spl12_5
| ~ spl12_27 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f489,plain,
( s(zero) != s(zero)
| ~ setIn(sK2,alive)
| ~ spl12_5
| ~ spl12_27 ),
inference(superposition,[],[f483,f368]) ).
fof(f483,plain,
( ! [X45] :
( s(zero) != host(X45)
| ~ setIn(X45,alive) )
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f611,plain,
spl12_48,
inference(avatar_split_clause,[],[f322,f609]) ).
fof(f322,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f607,plain,
spl12_47,
inference(avatar_split_clause,[],[f321,f605]) ).
fof(f321,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f603,plain,
spl12_46,
inference(avatar_split_clause,[],[f232,f601]) ).
fof(f232,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(f599,plain,
spl12_45,
inference(avatar_split_clause,[],[f231,f597]) ).
fof(f597,plain,
( spl12_45
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
fof(f231,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(f595,plain,
spl12_44,
inference(avatar_split_clause,[],[f230,f593]) ).
fof(f230,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(f591,plain,
~ spl12_43,
inference(avatar_split_clause,[],[f228,f588]) ).
fof(f588,plain,
( spl12_43
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f228,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f586,plain,
~ spl12_42,
inference(avatar_split_clause,[],[f227,f583]) ).
fof(f583,plain,
( spl12_42
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f227,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f581,plain,
~ spl12_41,
inference(avatar_split_clause,[],[f226,f578]) ).
fof(f578,plain,
( spl12_41
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f226,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f576,plain,
~ spl12_40,
inference(avatar_split_clause,[],[f225,f573]) ).
fof(f573,plain,
( spl12_40
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f225,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(f571,plain,
( ~ spl12_39
| ~ spl12_8
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f491,f482,f383,f568]) ).
fof(f568,plain,
( spl12_39
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f491,plain,
( ~ setIn(sK3,alive)
| ~ spl12_8
| ~ spl12_27 ),
inference(trivial_inequality_removal,[],[f490]) ).
fof(f490,plain,
( s(zero) != s(zero)
| ~ setIn(sK3,alive)
| ~ spl12_8
| ~ spl12_27 ),
inference(superposition,[],[f483,f385]) ).
fof(f566,plain,
~ spl12_38,
inference(avatar_split_clause,[],[f224,f563]) ).
fof(f563,plain,
( spl12_38
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f224,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f561,plain,
~ spl12_37,
inference(avatar_split_clause,[],[f223,f558]) ).
fof(f558,plain,
( spl12_37
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f223,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f556,plain,
~ spl12_36,
inference(avatar_split_clause,[],[f222,f553]) ).
fof(f553,plain,
( spl12_36
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f222,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f547,plain,
spl12_35,
inference(avatar_split_clause,[],[f186,f545]) ).
fof(f186,plain,
! [X38,X36,X37] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f524,plain,
spl12_34,
inference(avatar_split_clause,[],[f185,f522]) ).
fof(f522,plain,
( spl12_34
<=> ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f185,plain,
! [X40,X39] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f520,plain,
spl12_33,
inference(avatar_split_clause,[],[f184,f518]) ).
fof(f184,plain,
! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f516,plain,
( spl12_32
| ~ spl12_8
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f487,f478,f383,f513]) ).
fof(f487,plain,
( leq(sK3,sK2)
| ~ spl12_8
| ~ spl12_26 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f486,plain,
( s(zero) != s(zero)
| leq(sK3,sK2)
| ~ spl12_8
| ~ spl12_26 ),
inference(superposition,[],[f479,f385]) ).
fof(f511,plain,
spl12_31,
inference(avatar_split_clause,[],[f183,f509]) ).
fof(f509,plain,
( spl12_31
<=> ! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f183,plain,
! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f507,plain,
spl12_30,
inference(avatar_split_clause,[],[f214,f504]) ).
fof(f214,plain,
elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f151]) ).
fof(f502,plain,
spl12_29,
inference(avatar_split_clause,[],[f213,f499]) ).
fof(f213,plain,
elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f151]) ).
fof(f497,plain,
spl12_28,
inference(avatar_split_clause,[],[f221,f494]) ).
fof(f494,plain,
( spl12_28
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f221,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f484,plain,
spl12_27,
inference(avatar_split_clause,[],[f342,f482]) ).
fof(f342,plain,
! [X45] :
( s(zero) != host(X45)
| ~ setIn(X45,alive) ),
inference(forward_demodulation,[],[f182,f335]) ).
fof(f335,plain,
s(zero) = host(sK3),
inference(forward_demodulation,[],[f205,f206]) ).
fof(f206,plain,
s(zero) = host(sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f205,plain,
host(sK2) = host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f182,plain,
! [X45] :
( ~ setIn(X45,alive)
| host(X45) != host(sK3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f480,plain,
spl12_26,
inference(avatar_split_clause,[],[f336,f478]) ).
fof(f336,plain,
! [X6] :
( s(zero) != host(X6)
| leq(X6,sK2) ),
inference(forward_demodulation,[],[f203,f335]) ).
fof(f203,plain,
! [X6] :
( leq(X6,sK2)
| host(X6) != host(sK3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f476,plain,
( spl12_25
| ~ spl12_22
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f471,f467,f457,f473]) ).
fof(f467,plain,
( spl12_24
<=> host(sK6) = s(index(pendack,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f471,plain,
( host(sK6) = s(host(sK5))
| ~ spl12_22
| ~ spl12_24 ),
inference(forward_demodulation,[],[f469,f459]) ).
fof(f469,plain,
( host(sK6) = s(index(pendack,host(sK7)))
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
spl12_24,
inference(avatar_split_clause,[],[f217,f467]) ).
fof(f217,plain,
host(sK6) = s(index(pendack,host(sK7))),
inference(cnf_transformation,[],[f151]) ).
fof(f465,plain,
spl12_23,
inference(avatar_split_clause,[],[f219,f462]) ).
fof(f219,plain,
host(sK4) = index(ldr,host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f460,plain,
spl12_22,
inference(avatar_split_clause,[],[f216,f457]) ).
fof(f216,plain,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f455,plain,
( spl12_21
| ~ spl12_5
| ~ spl12_14
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f429,f425,f413,f366,f452]) ).
fof(f452,plain,
( spl12_21
<=> elec_2 = index(status,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f429,plain,
( elec_2 = index(status,s(zero))
| ~ spl12_5
| ~ spl12_14
| ~ spl12_16 ),
inference(forward_demodulation,[],[f427,f417]) ).
fof(f449,plain,
( spl12_20
| ~ spl12_5
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f407,f403,f366,f446]) ).
fof(f403,plain,
( spl12_12
<=> s(host(sK2)) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f407,plain,
( host(sK7) = s(s(zero))
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f405,f368]) ).
fof(f405,plain,
( s(host(sK2)) = host(sK7)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f444,plain,
spl12_19,
inference(avatar_split_clause,[],[f220,f441]) ).
fof(f220,plain,
norm = index(status,host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f438,plain,
( spl12_17
| spl12_18 ),
inference(avatar_split_clause,[],[f218,f435,f431]) ).
fof(f218,plain,
( sK2 = sK4
| setIn(sK4,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f428,plain,
spl12_16,
inference(avatar_split_clause,[],[f215,f425]) ).
fof(f215,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f151]) ).
fof(f423,plain,
( ~ spl12_15
| spl12_1
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f418,f413,f345,f420]) ).
fof(f418,plain,
( ~ setIn(sK7,pids)
| spl12_1
| ~ spl12_14 ),
inference(superposition,[],[f347,f415]) ).
fof(f416,plain,
( spl12_13
| spl12_14 ),
inference(avatar_split_clause,[],[f211,f413,f409]) ).
fof(f211,plain,
( sK2 = sK7
| setIn(sK7,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f406,plain,
spl12_12,
inference(avatar_split_clause,[],[f209,f403]) ).
fof(f209,plain,
s(host(sK2)) = host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f401,plain,
( ~ spl12_11
| ~ spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f381,f377,f366,f398]) ).
fof(f377,plain,
( spl12_7
<=> host(sK2) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f381,plain,
( s(zero) != host(sK7)
| ~ spl12_5
| spl12_7 ),
inference(forward_demodulation,[],[f379,f368]) ).
fof(f379,plain,
( host(sK2) != host(sK7)
| spl12_7 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f396,plain,
( ~ spl12_10
| ~ spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f375,f371,f366,f393]) ).
fof(f371,plain,
( spl12_6
<=> host(sK2) = host(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f375,plain,
( s(zero) != host(sK4)
| ~ spl12_5
| spl12_6 ),
inference(forward_demodulation,[],[f373,f368]) ).
fof(f373,plain,
( host(sK2) != host(sK4)
| spl12_6 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f391,plain,
spl12_9,
inference(avatar_split_clause,[],[f337,f388]) ).
fof(f388,plain,
( spl12_9
<=> q_nil = queue(s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f337,plain,
q_nil = queue(s(zero)),
inference(forward_demodulation,[],[f202,f335]) ).
fof(f202,plain,
q_nil = queue(host(sK3)),
inference(cnf_transformation,[],[f151]) ).
fof(f386,plain,
spl12_8,
inference(avatar_split_clause,[],[f335,f383]) ).
fof(f380,plain,
~ spl12_7,
inference(avatar_split_clause,[],[f210,f377]) ).
fof(f210,plain,
host(sK2) != host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f374,plain,
~ spl12_6,
inference(avatar_split_clause,[],[f208,f371]) ).
fof(f208,plain,
host(sK2) != host(sK4),
inference(cnf_transformation,[],[f151]) ).
fof(f369,plain,
spl12_5,
inference(avatar_split_clause,[],[f206,f366]) ).
fof(f364,plain,
( ~ spl12_4
| spl12_2 ),
inference(avatar_split_clause,[],[f354,f350,f361]) ).
fof(f350,plain,
( spl12_2
<=> leq(nbr_proc,host(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f354,plain,
( ~ leq(nbr_proc,s(zero))
| spl12_2 ),
inference(forward_demodulation,[],[f352,f206]) ).
fof(f352,plain,
( ~ leq(nbr_proc,host(sK2))
| spl12_2 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f359,plain,
spl12_3,
inference(avatar_split_clause,[],[f334,f356]) ).
fof(f334,plain,
leq(nbr_proc,host(sK6)),
inference(forward_demodulation,[],[f212,f217]) ).
fof(f212,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f151]) ).
fof(f353,plain,
~ spl12_2,
inference(avatar_split_clause,[],[f207,f350]) ).
fof(f207,plain,
~ leq(nbr_proc,host(sK2)),
inference(cnf_transformation,[],[f151]) ).
fof(f348,plain,
~ spl12_1,
inference(avatar_split_clause,[],[f204,f345]) ).
fof(f204,plain,
~ setIn(sK2,pids),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWV461+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n027.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 05:18:02 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (12796)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (12797)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (12800)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (12802)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (12803)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (12801)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (12798)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (12799)WARNING: value z3 for option sas not known
% 0.14/0.40 Detected minimum model sizes of [4]
% 0.14/0.40 Detected maximum model sizes of [max]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (12799)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.42 Detected minimum model sizes of [4]
% 0.14/0.42 Detected maximum model sizes of [max]
% 0.14/0.42 TRYING [4]
% 0.20/0.45 % (12801)First to succeed.
% 0.20/0.45 TRYING [5]
% 0.20/0.47 % (12801)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (12801)------------------------------
% 0.20/0.48 % (12801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.48 % (12801)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (12801)Memory used [KB]: 2076
% 0.20/0.48 % (12801)Time elapsed: 0.078 s
% 0.20/0.48 % (12801)Instructions burned: 139 (million)
% 0.20/0.48 % (12801)------------------------------
% 0.20/0.48 % (12801)------------------------------
% 0.20/0.48 % (12796)Success in time 0.098 s
%------------------------------------------------------------------------------