TSTP Solution File: SWV454+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV454+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 : n006.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 16:53:11 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 406
% Syntax : Number of formulae : 1307 ( 259 unt; 0 def)
% Number of atoms : 4351 ( 937 equ)
% Maximal formula atoms : 98 ( 3 avg)
% Number of connectives : 5359 (2315 ~;2198 |; 395 &)
% ( 365 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 340 ( 338 usr; 332 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 22 con; 0-2 aty)
% Number of variables : 1839 (1784 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3345,plain,
$false,
inference(avatar_sat_refutation,[],[f346,f351,f356,f361,f366,f371,f376,f381,f386,f392,f397,f402,f408,f414,f419,f424,f429,f434,f439,f443,f451,f455,f469,f477,f482,f487,f492,f497,f502,f507,f512,f516,f520,f524,f528,f532,f536,f540,f544,f564,f568,f572,f576,f586,f590,f594,f598,f602,f607,f611,f615,f619,f623,f627,f631,f635,f639,f643,f647,f652,f656,f660,f664,f668,f672,f680,f686,f691,f695,f699,f703,f707,f711,f715,f719,f723,f727,f731,f735,f742,f755,f759,f764,f768,f772,f776,f780,f784,f801,f805,f809,f813,f817,f821,f825,f829,f834,f838,f842,f846,f850,f872,f883,f887,f896,f900,f904,f930,f934,f938,f942,f946,f950,f954,f958,f994,f998,f1002,f1006,f1010,f1049,f1053,f1057,f1065,f1076,f1080,f1097,f1103,f1118,f1123,f1131,f1139,f1143,f1147,f1151,f1157,f1161,f1165,f1186,f1190,f1209,f1213,f1217,f1221,f1231,f1240,f1250,f1259,f1267,f1276,f1284,f1288,f1292,f1296,f1300,f1304,f1343,f1351,f1355,f1359,f1367,f1371,f1376,f1380,f1384,f1388,f1392,f1396,f1438,f1447,f1454,f1458,f1462,f1466,f1471,f1475,f1510,f1521,f1534,f1538,f1542,f1567,f1581,f1586,f1590,f1594,f1598,f1602,f1606,f1610,f1614,f1618,f1692,f1696,f1700,f1709,f1713,f1717,f1721,f1725,f1729,f1733,f1798,f1802,f1806,f1840,f1844,f1848,f1891,f1895,f1899,f1904,f1908,f1912,f1989,f1993,f2028,f2032,f2036,f2040,f2106,f2110,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2146,f2175,f2182,f2194,f2200,f2207,f2215,f2219,f2223,f2228,f2233,f2237,f2262,f2266,f2270,f2300,f2304,f2312,f2321,f2327,f2332,f2341,f2354,f2364,f2369,f2370,f2377,f2381,f2398,f2402,f2407,f2415,f2419,f2423,f2476,f2493,f2497,f2501,f2519,f2523,f2527,f2531,f2545,f2549,f2565,f2569,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2640,f2706,f2714,f2729,f2735,f2739,f2743,f2747,f2751,f2755,f2759,f2763,f2767,f2828,f2914,f2918,f2929,f2933,f2937,f2941,f2945,f2949,f2953,f2954,f2960,f2969,f2973,f2977,f3142,f3167,f3171,f3175,f3179,f3183,f3187,f3191,f3195,f3339,f3343,f3344]) ).
fof(f3344,plain,
( ~ spl12_4
| ~ spl12_129
| spl12_321 ),
inference(avatar_split_clause,[],[f3196,f3139,f1101,f358]) ).
fof(f358,plain,
( spl12_4
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1101,plain,
( spl12_129
<=> ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_129])]) ).
fof(f3139,plain,
( spl12_321
<=> elem(m_Down(sK8),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_321])]) ).
fof(f3196,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl12_129
| spl12_321 ),
inference(resolution,[],[f3141,f1102]) ).
fof(f1102,plain,
( ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) )
| ~ spl12_129 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f3141,plain,
( ~ elem(m_Down(sK8),queue(host(sK6)))
| spl12_321 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3343,plain,
( spl12_331
| ~ spl12_173
| ~ spl12_187 ),
inference(avatar_split_clause,[],[f1575,f1565,f1436,f3341]) ).
fof(f3341,plain,
( spl12_331
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_331])]) ).
fof(f1436,plain,
( spl12_173
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_173])]) ).
fof(f1565,plain,
( spl12_187
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_187])]) ).
fof(f1575,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl12_173
| ~ spl12_187 ),
inference(resolution,[],[f1566,f1437]) ).
fof(f1437,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl12_173 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1566,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl12_187 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f3339,plain,
( spl12_330
| ~ spl12_108
| ~ spl12_173 ),
inference(avatar_split_clause,[],[f1482,f1436,f902,f3337]) ).
fof(f3337,plain,
( spl12_330
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_330])]) ).
fof(f902,plain,
( spl12_108
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_108])]) ).
fof(f1482,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl12_108
| ~ spl12_173 ),
inference(resolution,[],[f1437,f903]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl12_108 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f3195,plain,
( spl12_329
| ~ spl12_68
| ~ spl12_215 ),
inference(avatar_split_clause,[],[f1927,f1889,f689,f3193]) ).
fof(f3193,plain,
( spl12_329
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_329])]) ).
fof(f689,plain,
( spl12_68
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
fof(f1889,plain,
( spl12_215
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_215])]) ).
fof(f1927,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl12_68
| ~ spl12_215 ),
inference(superposition,[],[f690,f1890]) ).
fof(f1890,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl12_215 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f690,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl12_68 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f3191,plain,
( spl12_328
| ~ spl12_73
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f1832,f1804,f709,f3189]) ).
fof(f3189,plain,
( spl12_328
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_328])]) ).
fof(f709,plain,
( spl12_73
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f1804,plain,
( spl12_211
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_211])]) ).
fof(f1832,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl12_73
| ~ spl12_211 ),
inference(resolution,[],[f1805,f710]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl12_73 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1805,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_211 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f3187,plain,
( spl12_327
| ~ spl12_85
| ~ spl12_208 ),
inference(avatar_split_clause,[],[f1789,f1731,f770,f3185]) ).
fof(f3185,plain,
( spl12_327
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_327])]) ).
fof(f770,plain,
( spl12_85
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f1731,plain,
( spl12_208
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f1789,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl12_85
| ~ spl12_208 ),
inference(resolution,[],[f1732,f771]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1732,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_208 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f3183,plain,
( spl12_326
| ~ spl12_81
| ~ spl12_196 ),
inference(avatar_split_clause,[],[f1672,f1612,f753,f3181]) ).
fof(f3181,plain,
( spl12_326
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_326])]) ).
fof(f753,plain,
( spl12_81
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f1612,plain,
( spl12_196
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_196])]) ).
fof(f1672,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl12_81
| ~ spl12_196 ),
inference(superposition,[],[f1613,f754]) ).
fof(f754,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl12_81 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f1613,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl12_196 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f3179,plain,
( spl12_325
| ~ spl12_72
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f1626,f1588,f705,f3177]) ).
fof(f3177,plain,
( spl12_325
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_325])]) ).
fof(f705,plain,
( spl12_72
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
fof(f1588,plain,
( spl12_190
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_190])]) ).
fof(f1626,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl12_72
| ~ spl12_190 ),
inference(resolution,[],[f1589,f706]) ).
fof(f706,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl12_72 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f1589,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl12_190 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f3175,plain,
( spl12_324
| ~ spl12_88
| ~ spl12_187 ),
inference(avatar_split_clause,[],[f1571,f1565,f782,f3173]) ).
fof(f3173,plain,
( spl12_324
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_324])]) ).
fof(f782,plain,
( spl12_88
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl12_88
| ~ spl12_187 ),
inference(resolution,[],[f1566,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl12_88 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3171,plain,
( spl12_323
| ~ spl12_119
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f1502,f1473,f1000,f3169]) ).
fof(f3169,plain,
( spl12_323
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_323])]) ).
fof(f1000,plain,
( spl12_119
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_119])]) ).
fof(f1473,plain,
( spl12_181
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_181])]) ).
fof(f1502,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl12_119
| ~ spl12_181 ),
inference(superposition,[],[f1474,f1001]) ).
fof(f1001,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl12_119 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1474,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl12_181 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f3167,plain,
( spl12_322
| ~ spl12_109
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f1501,f1473,f928,f3165]) ).
fof(f3165,plain,
( spl12_322
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_322])]) ).
fof(f928,plain,
( spl12_109
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_109])]) ).
fof(f1501,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl12_109
| ~ spl12_181 ),
inference(superposition,[],[f1474,f929]) ).
fof(f929,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl12_109 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f3142,plain,
( ~ spl12_321
| ~ spl12_295 ),
inference(avatar_split_clause,[],[f2964,f2712,f3139]) ).
fof(f2712,plain,
( spl12_295
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_295])]) ).
fof(f2964,plain,
( ~ elem(m_Down(sK8),queue(host(sK6)))
| ~ spl12_295 ),
inference(equality_resolution,[],[f2713]) ).
fof(f2713,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl12_295 ),
inference(avatar_component_clause,[],[f2712]) ).
fof(f2977,plain,
( spl12_320
| ~ spl12_65
| ~ spl12_215 ),
inference(avatar_split_clause,[],[f1926,f1889,f670,f2975]) ).
fof(f2975,plain,
( spl12_320
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_320])]) ).
fof(f670,plain,
( spl12_65
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
fof(f1926,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl12_65
| ~ spl12_215 ),
inference(superposition,[],[f671,f1890]) ).
fof(f671,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl12_65 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f2973,plain,
( spl12_319
| ~ spl12_73
| ~ spl12_208 ),
inference(avatar_split_clause,[],[f1790,f1731,f709,f2971]) ).
fof(f2971,plain,
( spl12_319
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_319])]) ).
fof(f1790,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl12_73
| ~ spl12_208 ),
inference(resolution,[],[f1732,f710]) ).
fof(f2969,plain,
( spl12_318
| ~ spl12_47
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f1631,f1588,f596,f2967]) ).
fof(f2967,plain,
( spl12_318
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_318])]) ).
fof(f596,plain,
( spl12_47
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f1631,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl12_47
| ~ spl12_190 ),
inference(resolution,[],[f1589,f597]) ).
fof(f597,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f2960,plain,
( ~ spl12_317
| ~ spl12_238
| spl12_296 ),
inference(avatar_split_clause,[],[f2730,f2723,f2179,f2957]) ).
fof(f2957,plain,
( spl12_317
<=> elem(m_Down(sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_317])]) ).
fof(f2179,plain,
( spl12_238
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_238])]) ).
fof(f2723,plain,
( spl12_296
<=> elem(m_Down(sK3),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_296])]) ).
fof(f2730,plain,
( ~ elem(m_Down(sK5),queue(host(sK8)))
| ~ spl12_238
| spl12_296 ),
inference(forward_demodulation,[],[f2725,f2181]) ).
fof(f2181,plain,
( sK3 = sK5
| ~ spl12_238 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2725,plain,
( ~ elem(m_Down(sK3),queue(host(sK8)))
| spl12_296 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2954,plain,
( ~ spl12_16
| ~ spl12_294 ),
inference(avatar_split_clause,[],[f2718,f2709,f421]) ).
fof(f421,plain,
( spl12_16
<=> elem(m_Down(sK6),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f2709,plain,
( spl12_294
<=> ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_294])]) ).
fof(f2718,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ spl12_294 ),
inference(equality_resolution,[],[f2710]) ).
fof(f2710,plain,
( ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) )
| ~ spl12_294 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f2953,plain,
( spl12_316
| ~ spl12_72
| ~ spl12_187 ),
inference(avatar_split_clause,[],[f1569,f1565,f705,f2951]) ).
fof(f2951,plain,
( spl12_316
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_316])]) ).
fof(f1569,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl12_72
| ~ spl12_187 ),
inference(resolution,[],[f1566,f706]) ).
fof(f2949,plain,
( spl12_315
| ~ spl12_119
| ~ spl12_172 ),
inference(avatar_split_clause,[],[f1433,f1394,f1000,f2947]) ).
fof(f2947,plain,
( spl12_315
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_315])]) ).
fof(f1394,plain,
( spl12_172
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl12_119
| ~ spl12_172 ),
inference(superposition,[],[f1395,f1001]) ).
fof(f1395,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl12_172 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f2945,plain,
( spl12_314
| ~ spl12_109
| ~ spl12_172 ),
inference(avatar_split_clause,[],[f1432,f1394,f928,f2943]) ).
fof(f2943,plain,
( spl12_314
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_314])]) ).
fof(f1432,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl12_109
| ~ spl12_172 ),
inference(superposition,[],[f1395,f929]) ).
fof(f2941,plain,
( spl12_313
| ~ spl12_144
| ~ spl12_226 ),
inference(avatar_split_clause,[],[f2092,f2038,f1188,f2939]) ).
fof(f2939,plain,
( spl12_313
<=> ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK6)))) = X1
| sP1(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK11(X0,cons(X1,queue(host(sK6))))
| elem(sK11(X0,cons(X1,queue(host(sK6)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_313])]) ).
fof(f1188,plain,
( spl12_144
<=> ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_144])]) ).
fof(f2038,plain,
( spl12_226
<=> ! [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_226])]) ).
fof(f2092,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK6)))) = X1
| sP1(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK11(X0,cons(X1,queue(host(sK6))))
| elem(sK11(X0,cons(X1,queue(host(sK6)))),sK2) )
| ~ spl12_144
| ~ spl12_226 ),
inference(resolution,[],[f2039,f1189]) ).
fof(f1189,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl12_144 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f2039,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,cons(X1,X2)),X2)
| sK11(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl12_226 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f2937,plain,
( spl12_312
| ~ spl12_144
| ~ spl12_225 ),
inference(avatar_split_clause,[],[f2081,f2034,f1188,f2935]) ).
fof(f2935,plain,
( spl12_312
<=> ! [X0,X1] :
( sK10(X0,cons(X1,queue(host(sK6)))) = X1
| sP0(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK10(X0,cons(X1,queue(host(sK6))))
| elem(sK10(X0,cons(X1,queue(host(sK6)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_312])]) ).
fof(f2034,plain,
( spl12_225
<=> ! [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_225])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( sK10(X0,cons(X1,queue(host(sK6)))) = X1
| sP0(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK10(X0,cons(X1,queue(host(sK6))))
| elem(sK10(X0,cons(X1,queue(host(sK6)))),sK2) )
| ~ spl12_144
| ~ spl12_225 ),
inference(resolution,[],[f2035,f1189]) ).
fof(f2035,plain,
( ! [X2,X0,X1] :
( elem(sK10(X0,cons(X1,X2)),X2)
| sK10(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl12_225 ),
inference(avatar_component_clause,[],[f2034]) ).
fof(f2933,plain,
( spl12_311
| ~ spl12_144
| ~ spl12_224 ),
inference(avatar_split_clause,[],[f2061,f2030,f1188,f2931]) ).
fof(f2931,plain,
( spl12_311
<=> ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK6)),X1)) = X1
| sP1(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK11(X0,snoc(queue(host(sK6)),X1))
| elem(sK11(X0,snoc(queue(host(sK6)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_311])]) ).
fof(f2030,plain,
( spl12_224
<=> ! [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_224])]) ).
fof(f2061,plain,
( ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK6)),X1)) = X1
| sP1(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK11(X0,snoc(queue(host(sK6)),X1))
| elem(sK11(X0,snoc(queue(host(sK6)),X1)),sK2) )
| ~ spl12_144
| ~ spl12_224 ),
inference(resolution,[],[f2031,f1189]) ).
fof(f2031,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,snoc(X1,X2)),X1)
| sK11(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl12_224 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2929,plain,
( spl12_310
| ~ spl12_144
| ~ spl12_223 ),
inference(avatar_split_clause,[],[f2041,f2026,f1188,f2927]) ).
fof(f2927,plain,
( spl12_310
<=> ! [X0,X1] :
( sK10(X0,snoc(queue(host(sK6)),X1)) = X1
| sP0(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK10(X0,snoc(queue(host(sK6)),X1))
| elem(sK10(X0,snoc(queue(host(sK6)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_310])]) ).
fof(f2026,plain,
( spl12_223
<=> ! [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_223])]) ).
fof(f2041,plain,
( ! [X0,X1] :
( sK10(X0,snoc(queue(host(sK6)),X1)) = X1
| sP0(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK10(X0,snoc(queue(host(sK6)),X1))
| elem(sK10(X0,snoc(queue(host(sK6)),X1)),sK2) )
| ~ spl12_144
| ~ spl12_223 ),
inference(resolution,[],[f2027,f1189]) ).
fof(f2027,plain,
( ! [X2,X0,X1] :
( elem(sK10(X0,snoc(X1,X2)),X1)
| sK10(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl12_223 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2918,plain,
( spl12_309
| ~ spl12_10
| ~ spl12_185 ),
inference(avatar_split_clause,[],[f1552,f1536,f389,f2916]) ).
fof(f2916,plain,
( spl12_309
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK3),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_309])]) ).
fof(f389,plain,
( spl12_10
<=> host(sK3) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1536,plain,
( spl12_185
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_185])]) ).
fof(f1552,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK3),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl12_10
| ~ spl12_185 ),
inference(superposition,[],[f1537,f391]) ).
fof(f391,plain,
( host(sK3) = host(sK6)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1537,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK8)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl12_185 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f2914,plain,
( spl12_308
| ~ spl12_7
| ~ spl12_184 ),
inference(avatar_split_clause,[],[f1544,f1532,f373,f2912]) ).
fof(f2912,plain,
( spl12_308
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_308])]) ).
fof(f373,plain,
( spl12_7
<=> host(sK7) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f1532,plain,
( spl12_184
<=> ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_184])]) ).
fof(f1544,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl12_7
| ~ spl12_184 ),
inference(superposition,[],[f1533,f375]) ).
fof(f375,plain,
( host(sK7) = host(sK8)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f1533,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl12_184 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f2828,plain,
( ~ spl12_307
| ~ spl12_129
| spl12_292 ),
inference(avatar_split_clause,[],[f2707,f2700,f1101,f2825]) ).
fof(f2825,plain,
( spl12_307
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_307])]) ).
fof(f2700,plain,
( spl12_292
<=> elem(m_Down(sK7),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_292])]) ).
fof(f2707,plain,
( ~ elem(m_Down(sK7),sK2)
| ~ spl12_129
| spl12_292 ),
inference(resolution,[],[f2702,f1102]) ).
fof(f2702,plain,
( ~ elem(m_Down(sK7),queue(host(sK6)))
| spl12_292 ),
inference(avatar_component_clause,[],[f2700]) ).
fof(f2767,plain,
( spl12_306
| ~ spl12_42
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f1634,f1588,f570,f2765]) ).
fof(f2765,plain,
( spl12_306
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_306])]) ).
fof(f570,plain,
( spl12_42
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f1634,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl12_42
| ~ spl12_190 ),
inference(resolution,[],[f1589,f571]) ).
fof(f571,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2763,plain,
( spl12_305
| ~ spl12_40
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f1630,f1588,f561,f2761]) ).
fof(f2761,plain,
( spl12_305
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_305])]) ).
fof(f561,plain,
( spl12_40
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f1630,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl12_40
| ~ spl12_190 ),
inference(resolution,[],[f1589,f563]) ).
fof(f563,plain,
( leq(s(zero),nbr_proc)
| ~ spl12_40 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f2759,plain,
( spl12_304
| ~ spl12_154
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f1629,f1588,f1274,f2757]) ).
fof(f2757,plain,
( spl12_304
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_304])]) ).
fof(f1274,plain,
( spl12_154
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_154])]) ).
fof(f1629,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl12_154
| ~ spl12_190 ),
inference(resolution,[],[f1589,f1275]) ).
fof(f1275,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl12_154 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f2755,plain,
( spl12_303
| ~ spl12_81
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f1500,f1473,f753,f2753]) ).
fof(f2753,plain,
( spl12_303
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_303])]) ).
fof(f1500,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl12_81
| ~ spl12_181 ),
inference(superposition,[],[f1474,f754]) ).
fof(f2751,plain,
( spl12_302
| ~ spl12_94
| ~ spl12_177 ),
inference(avatar_split_clause,[],[f1495,f1456,f819,f2749]) ).
fof(f2749,plain,
( spl12_302
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_302])]) ).
fof(f819,plain,
( spl12_94
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
fof(f1456,plain,
( spl12_177
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_177])]) ).
fof(f1495,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl12_94
| ~ spl12_177 ),
inference(resolution,[],[f1457,f820]) ).
fof(f820,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl12_94 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1457,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl12_177 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f2747,plain,
( spl12_301
| ~ spl12_173
| ~ spl12_177 ),
inference(avatar_split_clause,[],[f1494,f1456,f1436,f2745]) ).
fof(f2745,plain,
( spl12_301
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_301])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl12_173
| ~ spl12_177 ),
inference(resolution,[],[f1457,f1437]) ).
fof(f2743,plain,
( spl12_300
| ~ spl12_72
| ~ spl12_177 ),
inference(avatar_split_clause,[],[f1492,f1456,f705,f2741]) ).
fof(f2741,plain,
( spl12_300
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_300])]) ).
fof(f1492,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl12_72
| ~ spl12_177 ),
inference(resolution,[],[f1457,f706]) ).
fof(f2739,plain,
( spl12_299
| ~ spl12_88
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f1403,f1365,f782,f2737]) ).
fof(f2737,plain,
( spl12_299
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_299])]) ).
fof(f1365,plain,
( spl12_165
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f1403,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl12_88
| ~ spl12_165 ),
inference(resolution,[],[f1366,f783]) ).
fof(f1366,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl12_165 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f2735,plain,
( ~ spl12_298
| spl12_11
| ~ spl12_290 ),
inference(avatar_split_clause,[],[f2681,f2597,f394,f2732]) ).
fof(f2732,plain,
( spl12_298
<=> leq(host(sK6),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_298])]) ).
fof(f394,plain,
( spl12_11
<=> leq(host(sK6),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f2597,plain,
( spl12_290
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_290])]) ).
fof(f2681,plain,
( ~ leq(host(sK6),zero)
| spl12_11
| ~ spl12_290 ),
inference(resolution,[],[f2598,f396]) ).
fof(f396,plain,
( ~ leq(host(sK6),host(sK4))
| spl12_11 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f2598,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl12_290 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2729,plain,
( ~ spl12_296
| spl12_297
| ~ spl12_10
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f1526,f1519,f389,f2727,f2723]) ).
fof(f2727,plain,
( spl12_297
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_297])]) ).
fof(f1519,plain,
( spl12_183
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| host(X1) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_183])]) ).
fof(f1526,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| host(X0) = host(sK8)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl12_10
| ~ spl12_183 ),
inference(superposition,[],[f1520,f391]) ).
fof(f1520,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl12_183 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f2714,plain,
( spl12_294
| ~ spl12_3
| spl12_8
| spl12_295
| ~ spl12_7
| ~ spl12_182 ),
inference(avatar_split_clause,[],[f1515,f1508,f373,f2712,f378,f353,f2709]) ).
fof(f353,plain,
( spl12_3
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f378,plain,
( spl12_8
<=> host(sK6) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f1508,plain,
( spl12_182
<=> ! [X2,X0,X1] :
( host(X0) != host(sK6)
| host(X1) = host(sK6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_182])]) ).
fof(f1515,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(sK6) = host(sK8)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) )
| ~ spl12_7
| ~ spl12_182 ),
inference(superposition,[],[f1509,f375]) ).
fof(f1509,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl12_182 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f2706,plain,
( ~ spl12_292
| spl12_293
| ~ spl12_7
| ~ spl12_182 ),
inference(avatar_split_clause,[],[f1512,f1508,f373,f2704,f2700]) ).
fof(f2704,plain,
( spl12_293
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_293])]) ).
fof(f1512,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X0) = host(sK6)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK6)))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl12_7
| ~ spl12_182 ),
inference(superposition,[],[f1509,f375]) ).
fof(f2640,plain,
( spl12_291
| ~ spl12_187
| ~ spl12_189 ),
inference(avatar_split_clause,[],[f1636,f1583,f1565,f2638]) ).
fof(f2638,plain,
( spl12_291
<=> ! [X0] :
( leq(sK6,X0)
| leq(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_291])]) ).
fof(f1583,plain,
( spl12_189
<=> leq(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_189])]) ).
fof(f1636,plain,
( ! [X0] :
( leq(sK6,X0)
| leq(X0,sK5) )
| ~ spl12_187
| ~ spl12_189 ),
inference(resolution,[],[f1585,f1566]) ).
fof(f1585,plain,
( leq(sK6,sK5)
| ~ spl12_189 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f2599,plain,
( spl12_290
| ~ spl12_88
| ~ spl12_177 ),
inference(avatar_split_clause,[],[f1489,f1456,f782,f2597]) ).
fof(f1489,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl12_88
| ~ spl12_177 ),
inference(resolution,[],[f1457,f783]) ).
fof(f2595,plain,
( spl12_289
| ~ spl12_168
| ~ spl12_173 ),
inference(avatar_split_clause,[],[f1478,f1436,f1378,f2593]) ).
fof(f2593,plain,
( spl12_289
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_289])]) ).
fof(f1378,plain,
( spl12_168
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_168])]) ).
fof(f1478,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl12_168
| ~ spl12_173 ),
inference(resolution,[],[f1437,f1379]) ).
fof(f1379,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl12_168 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f2591,plain,
( spl12_288
| ~ spl12_81
| ~ spl12_172 ),
inference(avatar_split_clause,[],[f1431,f1394,f753,f2589]) ).
fof(f2589,plain,
( spl12_288
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_288])]) ).
fof(f1431,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl12_81
| ~ spl12_172 ),
inference(superposition,[],[f1395,f754]) ).
fof(f2587,plain,
( spl12_287
| ~ spl12_72
| ~ spl12_169 ),
inference(avatar_split_clause,[],[f1412,f1382,f705,f2585]) ).
fof(f2585,plain,
( spl12_287
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_287])]) ).
fof(f1382,plain,
( spl12_169
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_169])]) ).
fof(f1412,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl12_72
| ~ spl12_169 ),
inference(resolution,[],[f1383,f706]) ).
fof(f1383,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl12_169 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f2583,plain,
( spl12_286
| ~ spl12_94
| ~ spl12_168 ),
inference(avatar_split_clause,[],[f1410,f1378,f819,f2581]) ).
fof(f2581,plain,
( spl12_286
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_286])]) ).
fof(f1410,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl12_94
| ~ spl12_168 ),
inference(resolution,[],[f1379,f820]) ).
fof(f2579,plain,
( spl12_285
| ~ spl12_72
| ~ spl12_168 ),
inference(avatar_split_clause,[],[f1408,f1378,f705,f2577]) ).
fof(f2577,plain,
( spl12_285
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_285])]) ).
fof(f1408,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl12_72
| ~ spl12_168 ),
inference(resolution,[],[f1379,f706]) ).
fof(f2575,plain,
( spl12_284
| ~ spl12_72
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f1401,f1365,f705,f2573]) ).
fof(f2573,plain,
( spl12_284
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_284])]) ).
fof(f1401,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl12_72
| ~ spl12_165 ),
inference(resolution,[],[f1366,f706]) ).
fof(f2569,plain,
( spl12_283
| ~ spl12_143
| ~ spl12_226 ),
inference(avatar_split_clause,[],[f2100,f2038,f1184,f2567]) ).
fof(f2567,plain,
( spl12_283
<=> ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK11(X1,snoc(queue(host(sK6)),X0))
| sP1(X1,snoc(queue(host(sK6)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_283])]) ).
fof(f1184,plain,
( spl12_143
<=> ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f2100,plain,
( ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK11(X1,snoc(queue(host(sK6)),X0))
| sP1(X1,snoc(queue(host(sK6)),X0)) )
| ~ spl12_143
| ~ spl12_226 ),
inference(superposition,[],[f2039,f1185]) ).
fof(f1185,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0)
| ~ spl12_143 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f2565,plain,
( spl12_282
| ~ spl12_143
| ~ spl12_225 ),
inference(avatar_split_clause,[],[f2089,f2034,f1184,f2563]) ).
fof(f2563,plain,
( spl12_282
<=> ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK10(X1,snoc(queue(host(sK6)),X0))
| sP0(X1,snoc(queue(host(sK6)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_282])]) ).
fof(f2089,plain,
( ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK10(X1,snoc(queue(host(sK6)),X0))
| sP0(X1,snoc(queue(host(sK6)),X0)) )
| ~ spl12_143
| ~ spl12_225 ),
inference(superposition,[],[f2035,f1185]) ).
fof(f2549,plain,
( spl12_281
| ~ spl12_88
| ~ spl12_168 ),
inference(avatar_split_clause,[],[f1405,f1378,f782,f2547]) ).
fof(f2547,plain,
( spl12_281
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_281])]) ).
fof(f1405,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl12_88
| ~ spl12_168 ),
inference(resolution,[],[f1379,f783]) ).
fof(f2545,plain,
( spl12_280
| ~ spl12_88
| ~ spl12_161 ),
inference(avatar_split_clause,[],[f1347,f1341,f782,f2543]) ).
fof(f2543,plain,
( spl12_280
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_280])]) ).
fof(f1341,plain,
( spl12_161
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_161])]) ).
fof(f1347,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl12_88
| ~ spl12_161 ),
inference(resolution,[],[f1342,f783]) ).
fof(f1342,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl12_161 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f2531,plain,
( spl12_279
| ~ spl12_72
| ~ spl12_161 ),
inference(avatar_split_clause,[],[f1345,f1341,f705,f2529]) ).
fof(f2529,plain,
( spl12_279
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_279])]) ).
fof(f1345,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl12_72
| ~ spl12_161 ),
inference(resolution,[],[f1342,f706]) ).
fof(f2527,plain,
( spl12_278
| ~ spl12_34
| ~ spl12_249 ),
inference(avatar_split_clause,[],[f2271,f2260,f522,f2525]) ).
fof(f2525,plain,
( spl12_278
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_278])]) ).
fof(f522,plain,
( spl12_34
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f2260,plain,
( spl12_249
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_249])]) ).
fof(f2271,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl12_34
| ~ spl12_249 ),
inference(resolution,[],[f2261,f523]) ).
fof(f523,plain,
( ! [X0] : leq(X0,X0)
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f2261,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl12_249 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2523,plain,
( spl12_277
| ~ spl12_98
| ~ spl12_144 ),
inference(avatar_split_clause,[],[f1204,f1188,f836,f2521]) ).
fof(f2521,plain,
( spl12_277
<=> ! [X0] :
( m_Down(sK4) = sK11(X0,queue(host(sK6)))
| elem(sK11(X0,queue(host(sK6))),sK2)
| sP1(X0,queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_277])]) ).
fof(f836,plain,
( spl12_98
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
fof(f1204,plain,
( ! [X0] :
( m_Down(sK4) = sK11(X0,queue(host(sK6)))
| elem(sK11(X0,queue(host(sK6))),sK2)
| sP1(X0,queue(host(sK6))) )
| ~ spl12_98
| ~ spl12_144 ),
inference(resolution,[],[f1189,f837]) ).
fof(f837,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl12_98 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f2519,plain,
( spl12_276
| ~ spl12_96
| ~ spl12_144 ),
inference(avatar_split_clause,[],[f1203,f1188,f827,f2517]) ).
fof(f2517,plain,
( spl12_276
<=> ! [X0] :
( m_Down(sK4) = sK10(X0,queue(host(sK6)))
| elem(sK10(X0,queue(host(sK6))),sK2)
| sP0(X0,queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_276])]) ).
fof(f827,plain,
( spl12_96
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
fof(f1203,plain,
( ! [X0] :
( m_Down(sK4) = sK10(X0,queue(host(sK6)))
| elem(sK10(X0,queue(host(sK6))),sK2)
| sP0(X0,queue(host(sK6))) )
| ~ spl12_96
| ~ spl12_144 ),
inference(resolution,[],[f1189,f828]) ).
fof(f828,plain,
( ! [X0,X1] :
( elem(sK10(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl12_96 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f2501,plain,
( spl12_275
| ~ spl12_20
| ~ spl12_220 ),
inference(avatar_split_clause,[],[f1970,f1910,f441,f2499]) ).
fof(f2499,plain,
( spl12_275
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK9(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK9(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_275])]) ).
fof(f441,plain,
( spl12_20
<=> ! [X24,X23] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1910,plain,
( spl12_220
<=> ! [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_220])]) ).
fof(f1970,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK9(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK9(m_Down(X0))) )
| ~ spl12_20
| ~ spl12_220 ),
inference(superposition,[],[f442,f1911]) ).
fof(f1911,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK9(m_Down(X0)))
| m_Down(X0) = m_Halt(sK9(m_Down(X0))) )
| ~ spl12_220 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f442,plain,
( ! [X24,X23] :
( ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X24,alive) )
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f2497,plain,
( spl12_274
| ~ spl12_20
| ~ spl12_219 ),
inference(avatar_split_clause,[],[f1954,f1906,f441,f2495]) ).
fof(f2495,plain,
( spl12_274
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK9(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK9(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_274])]) ).
fof(f1906,plain,
( spl12_219
<=> ! [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_219])]) ).
fof(f1954,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK9(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK9(m_Halt(X0))) )
| ~ spl12_20
| ~ spl12_219 ),
inference(superposition,[],[f442,f1907]) ).
fof(f1907,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK9(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK9(m_Halt(X0))) )
| ~ spl12_219 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f2493,plain,
( spl12_272
| spl12_273
| spl12_67
| ~ spl12_144
| ~ spl12_170 ),
inference(avatar_split_clause,[],[f1418,f1386,f1188,f683,f2490,f2486]) ).
fof(f2486,plain,
( spl12_272
<=> elem(last(queue(host(sK6))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_272])]) ).
fof(f2490,plain,
( spl12_273
<=> m_Down(sK4) = last(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_273])]) ).
fof(f683,plain,
( spl12_67
<=> q_nil = queue(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
fof(f1386,plain,
( spl12_170
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_170])]) ).
fof(f1418,plain,
( q_nil = queue(host(sK6))
| m_Down(sK4) = last(queue(host(sK6)))
| elem(last(queue(host(sK6))),sK2)
| ~ spl12_144
| ~ spl12_170 ),
inference(resolution,[],[f1387,f1189]) ).
fof(f1387,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl12_170 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f2476,plain,
( spl12_271
| ~ spl12_47
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f1398,f1365,f596,f2474]) ).
fof(f2474,plain,
( spl12_271
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_271])]) ).
fof(f1398,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl12_47
| ~ spl12_165 ),
inference(resolution,[],[f1366,f597]) ).
fof(f2423,plain,
( spl12_270
| ~ spl12_121
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1200,f1184,f1008,f2421]) ).
fof(f2421,plain,
( spl12_270
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK6)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_270])]) ).
fof(f1008,plain,
( spl12_121
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_121])]) ).
fof(f1200,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK6)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl12_121
| ~ spl12_143 ),
inference(superposition,[],[f1009,f1185]) ).
fof(f1009,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl12_121 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f2419,plain,
( spl12_269
| ~ spl12_119
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1199,f1184,f1000,f2417]) ).
fof(f2417,plain,
( spl12_269
<=> ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_269])]) ).
fof(f1199,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1)
| ~ spl12_119
| ~ spl12_143 ),
inference(superposition,[],[f1001,f1185]) ).
fof(f2415,plain,
( spl12_268
| ~ spl12_103
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1198,f1184,f881,f2413]) ).
fof(f2413,plain,
( spl12_268
<=> ! [X0] :
( ordered(snoc(queue(host(sK6)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_268])]) ).
fof(f881,plain,
( spl12_103
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_103])]) ).
fof(f1198,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK6)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl12_103
| ~ spl12_143 ),
inference(superposition,[],[f882,f1185]) ).
fof(f882,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl12_103 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f2407,plain,
( ~ spl12_267
| ~ spl12_34
| ~ spl12_247 ),
inference(avatar_split_clause,[],[f2238,f2231,f522,f2404]) ).
fof(f2404,plain,
( spl12_267
<=> elem(m_Halt(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_267])]) ).
fof(f2231,plain,
( spl12_247
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK6),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_247])]) ).
fof(f2238,plain,
( ~ elem(m_Halt(sK6),sK2)
| ~ spl12_34
| ~ spl12_247 ),
inference(resolution,[],[f2232,f523]) ).
fof(f2232,plain,
( ! [X0] :
( ~ leq(host(sK6),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl12_247 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2402,plain,
( spl12_266
| ~ spl12_37
| ~ spl12_220 ),
inference(avatar_split_clause,[],[f1972,f1910,f534,f2400]) ).
fof(f2400,plain,
( spl12_266
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK9(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK9(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_266])]) ).
fof(f534,plain,
( spl12_37
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f1972,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK9(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK9(m_Down(X0))) )
| ~ spl12_37
| ~ spl12_220 ),
inference(superposition,[],[f535,f1911]) ).
fof(f535,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f2398,plain,
( spl12_265
| ~ spl12_37
| ~ spl12_219 ),
inference(avatar_split_clause,[],[f1956,f1906,f534,f2396]) ).
fof(f2396,plain,
( spl12_265
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK9(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK9(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_265])]) ).
fof(f1956,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK9(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK9(m_Halt(X0))) )
| ~ spl12_37
| ~ spl12_219 ),
inference(superposition,[],[f535,f1907]) ).
fof(f2381,plain,
( ~ spl12_34
| spl12_264 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2378,plain,
( $false
| ~ spl12_34
| spl12_264 ),
inference(resolution,[],[f2376,f523]) ).
fof(f2376,plain,
( ~ leq(sK8,sK8)
| spl12_264 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2374,plain,
( spl12_264
<=> leq(sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_264])]) ).
fof(f2377,plain,
( ~ spl12_264
| spl12_201
| ~ spl12_239 ),
inference(avatar_split_clause,[],[f2372,f2191,f1702,f2374]) ).
fof(f1702,plain,
( spl12_201
<=> leq(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_201])]) ).
fof(f2191,plain,
( spl12_239
<=> sK7 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_239])]) ).
fof(f2372,plain,
( ~ leq(sK8,sK8)
| spl12_201
| ~ spl12_239 ),
inference(forward_demodulation,[],[f1704,f2193]) ).
fof(f2193,plain,
( sK7 = sK8
| ~ spl12_239 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f1704,plain,
( ~ leq(sK7,sK8)
| spl12_201 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f2370,plain,
( ~ spl12_202
| ~ spl12_4
| ~ spl12_240 ),
inference(avatar_split_clause,[],[f2201,f2198,f358,f1706]) ).
fof(f1706,plain,
( spl12_202
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f2198,plain,
( spl12_240
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_240])]) ).
fof(f2201,plain,
( ~ setIn(sK8,alive)
| ~ spl12_4
| ~ spl12_240 ),
inference(resolution,[],[f2199,f360]) ).
fof(f360,plain,
( elem(m_Down(sK8),sK2)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f2199,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl12_240 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2369,plain,
( ~ spl12_263
| ~ spl12_88
| spl12_174 ),
inference(avatar_split_clause,[],[f1448,f1440,f782,f2366]) ).
fof(f2366,plain,
( spl12_263
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_263])]) ).
fof(f1440,plain,
( spl12_174
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_174])]) ).
fof(f1448,plain,
( ~ leq(nbr_proc,zero)
| ~ spl12_88
| spl12_174 ),
inference(resolution,[],[f1442,f783]) ).
fof(f1442,plain,
( ~ leq(nbr_proc,s(zero))
| spl12_174 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f2364,plain,
( spl12_262
| ~ spl12_40
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f1397,f1365,f561,f2361]) ).
fof(f2361,plain,
( spl12_262
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_262])]) ).
fof(f1397,plain,
( leq(zero,nbr_proc)
| ~ spl12_40
| ~ spl12_165 ),
inference(resolution,[],[f1366,f563]) ).
fof(f2354,plain,
( spl12_237
| spl12_261
| ~ spl12_160 ),
inference(avatar_split_clause,[],[f1336,f1302,f2352,f2172]) ).
fof(f2172,plain,
( spl12_237
<=> leq(sK3,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_237])]) ).
fof(f2352,plain,
( spl12_261
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_261])]) ).
fof(f1302,plain,
( spl12_160
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_160])]) ).
fof(f1336,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK3,sK6)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl12_160 ),
inference(equality_resolution,[],[f1303]) ).
fof(f1303,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl12_160 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f2341,plain,
( spl12_201
| spl12_260
| ~ spl12_159 ),
inference(avatar_split_clause,[],[f1331,f1298,f2339,f1702]) ).
fof(f2339,plain,
( spl12_260
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_260])]) ).
fof(f1298,plain,
( spl12_159
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_159])]) ).
fof(f1331,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK7,sK8)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl12_159 ),
inference(equality_resolution,[],[f1299]) ).
fof(f1299,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl12_159 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f2332,plain,
( spl12_180
| spl12_259
| ~ spl12_158 ),
inference(avatar_split_clause,[],[f1325,f1294,f2330,f1468]) ).
fof(f1468,plain,
( spl12_180
<=> leq(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_180])]) ).
fof(f2330,plain,
( spl12_259
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK5),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_259])]) ).
fof(f1294,plain,
( spl12_158
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_158])]) ).
fof(f1325,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK5,sK6)
| ~ ordered(cons(m_Halt(sK5),X0)) )
| ~ spl12_158 ),
inference(equality_resolution,[],[f1295]) ).
fof(f1295,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) )
| ~ spl12_158 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f2327,plain,
( spl12_258
| ~ spl12_72
| spl12_237 ),
inference(avatar_split_clause,[],[f2176,f2172,f705,f2324]) ).
fof(f2324,plain,
( spl12_258
<=> leq(sK6,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_258])]) ).
fof(f2176,plain,
( leq(sK6,sK3)
| ~ spl12_72
| spl12_237 ),
inference(resolution,[],[f2174,f706]) ).
fof(f2174,plain,
( ~ leq(sK3,sK6)
| spl12_237 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2321,plain,
( spl12_256
| spl12_257
| ~ spl12_6
| ~ spl12_157 ),
inference(avatar_split_clause,[],[f1321,f1290,f368,f2319,f2315]) ).
fof(f2315,plain,
( spl12_256
<=> leq(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_256])]) ).
fof(f2319,plain,
( spl12_257
<=> ! [X0] :
( ~ elem(m_Down(sK3),X0)
| ~ ordered(cons(m_Halt(sK5),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_257])]) ).
fof(f368,plain,
( spl12_6
<=> host(sK5) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1290,plain,
( spl12_157
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_157])]) ).
fof(f1321,plain,
( ! [X0] :
( ~ elem(m_Down(sK3),X0)
| leq(sK5,sK3)
| ~ ordered(cons(m_Halt(sK5),X0)) )
| ~ spl12_6
| ~ spl12_157 ),
inference(trivial_inequality_removal,[],[f1316]) ).
fof(f1316,plain,
( ! [X0] :
( host(sK6) != host(sK6)
| ~ elem(m_Down(sK3),X0)
| leq(sK5,sK3)
| ~ ordered(cons(m_Halt(sK5),X0)) )
| ~ spl12_6
| ~ spl12_157 ),
inference(superposition,[],[f1291,f370]) ).
fof(f370,plain,
( host(sK5) = host(sK6)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1291,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_157 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f2312,plain,
( spl12_254
| spl12_255
| ~ spl12_10
| ~ spl12_155 ),
inference(avatar_split_clause,[],[f1309,f1282,f389,f2310,f2306]) ).
fof(f2306,plain,
( spl12_254
<=> leq(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_254])]) ).
fof(f2310,plain,
( spl12_255
<=> ! [X0] :
( ~ elem(m_Down(sK5),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_255])]) ).
fof(f1282,plain,
( spl12_155
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_155])]) ).
fof(f1309,plain,
( ! [X0] :
( ~ elem(m_Down(sK5),X0)
| leq(sK3,sK5)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl12_10
| ~ spl12_155 ),
inference(trivial_inequality_removal,[],[f1307]) ).
fof(f1307,plain,
( ! [X0] :
( host(sK6) != host(sK6)
| ~ elem(m_Down(sK5),X0)
| leq(sK3,sK5)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl12_10
| ~ spl12_155 ),
inference(superposition,[],[f1283,f391]) ).
fof(f1283,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_155 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f2304,plain,
( spl12_253
| ~ spl12_101
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1197,f1184,f848,f2302]) ).
fof(f2302,plain,
( spl12_253
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK6)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_253])]) ).
fof(f848,plain,
( spl12_101
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
fof(f1197,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK6)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl12_101
| ~ spl12_143 ),
inference(superposition,[],[f849,f1185]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl12_101 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2300,plain,
( spl12_252
| ~ spl12_85
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1196,f1184,f770,f2298]) ).
fof(f2298,plain,
( spl12_252
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_252])]) ).
fof(f1196,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl12_85
| ~ spl12_143 ),
inference(superposition,[],[f771,f1185]) ).
fof(f2270,plain,
( spl12_251
| ~ spl12_73
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1195,f1184,f709,f2268]) ).
fof(f2268,plain,
( spl12_251
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_251])]) ).
fof(f1195,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl12_73
| ~ spl12_143 ),
inference(superposition,[],[f710,f1185]) ).
fof(f2266,plain,
( spl12_250
| ~ spl12_69
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1194,f1184,f693,f2264]) ).
fof(f2264,plain,
( spl12_250
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_250])]) ).
fof(f693,plain,
( spl12_69
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
fof(f1194,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK6)),X0))
| ~ spl12_69
| ~ spl12_143 ),
inference(superposition,[],[f694,f1185]) ).
fof(f694,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl12_69 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f2262,plain,
( spl12_249
| ~ spl12_23
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1110,f1101,f467,f2260]) ).
fof(f467,plain,
( spl12_23
<=> ! [X18,X16,X17] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f1110,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl12_23
| ~ spl12_129 ),
inference(resolution,[],[f1102,f468]) ).
fof(f468,plain,
( ! [X18,X16,X17] :
( ~ elem(m_Ack(X18,X16),queue(host(X17)))
| ~ leq(host(X16),host(X18)) )
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f2237,plain,
( spl12_248
| ~ spl12_68
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1193,f1184,f689,f2235]) ).
fof(f2235,plain,
( spl12_248
<=> ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_248])]) ).
fof(f1193,plain,
( ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK6)),X0))
| ~ spl12_68
| ~ spl12_143 ),
inference(superposition,[],[f690,f1185]) ).
fof(f2233,plain,
( spl12_247
| ~ spl12_22
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1109,f1101,f453,f2231]) ).
fof(f453,plain,
( spl12_22
<=> ! [X20,X19] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f1109,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK6),host(X0)) )
| ~ spl12_22
| ~ spl12_129 ),
inference(resolution,[],[f1102,f454]) ).
fof(f454,plain,
( ! [X19,X20] :
( ~ elem(m_Halt(X20),queue(host(X19)))
| ~ leq(host(X19),host(X20)) )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f2228,plain,
( spl12_246
| ~ spl12_65
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1192,f1184,f670,f2226]) ).
fof(f2226,plain,
( spl12_246
<=> ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_246])]) ).
fof(f1192,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK6)),X0))
| ~ spl12_65
| ~ spl12_143 ),
inference(superposition,[],[f671,f1185]) ).
fof(f2223,plain,
( spl12_245
| ~ spl12_129
| ~ spl12_139 ),
inference(avatar_split_clause,[],[f1153,f1149,f1101,f2221]) ).
fof(f2221,plain,
( spl12_245
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK3,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_245])]) ).
fof(f1149,plain,
( spl12_139
<=> ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK6)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_139])]) ).
fof(f1153,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK3,X0),sK2) )
| ~ spl12_129
| ~ spl12_139 ),
inference(resolution,[],[f1150,f1102]) ).
fof(f1150,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl12_139 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f2219,plain,
( spl12_244
| ~ spl12_129
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f1152,f1141,f1101,f2217]) ).
fof(f2217,plain,
( spl12_244
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK5,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_244])]) ).
fof(f1141,plain,
( spl12_137
<=> ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_137])]) ).
fof(f1152,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK5,X0),sK2) )
| ~ spl12_129
| ~ spl12_137 ),
inference(resolution,[],[f1142,f1102]) ).
fof(f1142,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl12_137 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f2215,plain,
( spl12_242
| spl12_243
| ~ spl12_111
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1107,f1101,f936,f2213,f2209]) ).
fof(f2209,plain,
( spl12_242
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_242])]) ).
fof(f2213,plain,
( spl12_243
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_243])]) ).
fof(f936,plain,
( spl12_111
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_111])]) ).
fof(f1107,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(sK6,pids) )
| ~ spl12_111
| ~ spl12_129 ),
inference(resolution,[],[f1102,f937]) ).
fof(f937,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl12_111 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2207,plain,
( spl12_241
| ~ spl12_112
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1106,f1101,f940,f2205]) ).
fof(f2205,plain,
( spl12_241
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_241])]) ).
fof(f940,plain,
( spl12_112
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_112])]) ).
fof(f1106,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(X0,pids) )
| ~ spl12_112
| ~ spl12_129 ),
inference(resolution,[],[f1102,f941]) ).
fof(f941,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl12_112 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f2200,plain,
( spl12_240
| ~ spl12_20
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1108,f1101,f441,f2198]) ).
fof(f1108,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl12_20
| ~ spl12_129 ),
inference(resolution,[],[f1102,f442]) ).
fof(f2194,plain,
( ~ spl12_202
| spl12_239
| ~ spl12_152 ),
inference(avatar_split_clause,[],[f1263,f1257,f2191,f1706]) ).
fof(f1257,plain,
( spl12_152
<=> ! [X0] :
( host(X0) != host(sK8)
| sK7 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_152])]) ).
fof(f1263,plain,
( sK7 = sK8
| ~ setIn(sK8,alive)
| ~ spl12_152 ),
inference(equality_resolution,[],[f1258]) ).
fof(f1258,plain,
( ! [X0] :
( host(X0) != host(sK8)
| sK7 = X0
| ~ setIn(X0,alive) )
| ~ spl12_152 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f2182,plain,
( ~ spl12_1
| spl12_238
| ~ spl12_10
| ~ spl12_151 ),
inference(avatar_split_clause,[],[f1255,f1248,f389,f2179,f343]) ).
fof(f343,plain,
( spl12_1
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f1248,plain,
( spl12_151
<=> ! [X0] :
( host(X0) != host(sK6)
| sK5 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_151])]) ).
fof(f1255,plain,
( sK3 = sK5
| ~ setIn(sK3,alive)
| ~ spl12_10
| ~ spl12_151 ),
inference(trivial_inequality_removal,[],[f1253]) ).
fof(f1253,plain,
( host(sK6) != host(sK6)
| sK3 = sK5
| ~ setIn(sK3,alive)
| ~ spl12_10
| ~ spl12_151 ),
inference(superposition,[],[f1249,f391]) ).
fof(f1249,plain,
( ! [X0] :
( host(X0) != host(sK6)
| sK5 = X0
| ~ setIn(X0,alive) )
| ~ spl12_151 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f2175,plain,
( ~ spl12_237
| spl12_26
| ~ spl12_150 ),
inference(avatar_split_clause,[],[f1244,f1238,f484,f2172]) ).
fof(f484,plain,
( spl12_26
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f1238,plain,
( spl12_150
<=> ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_150])]) ).
fof(f1244,plain,
( setIn(sK6,alive)
| ~ leq(sK3,sK6)
| ~ spl12_150 ),
inference(equality_resolution,[],[f1239]) ).
fof(f1239,plain,
( ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK3,X0) )
| ~ spl12_150 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f2146,plain,
( spl12_236
| ~ spl12_46
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1090,f1078,f592,f2144]) ).
fof(f2144,plain,
( spl12_236
<=> ! [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_236])]) ).
fof(f592,plain,
( spl12_46
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f1078,plain,
( spl12_127
<=> ! [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_127])]) ).
fof(f1090,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_46
| ~ spl12_127 ),
inference(superposition,[],[f1079,f593]) ).
fof(f593,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl12_46 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1079,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_127 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f2140,plain,
( spl12_235
| ~ spl12_45
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1089,f1078,f588,f2138]) ).
fof(f2138,plain,
( spl12_235
<=> ! [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_235])]) ).
fof(f588,plain,
( spl12_45
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
fof(f1089,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_45
| ~ spl12_127 ),
inference(superposition,[],[f1079,f589]) ).
fof(f589,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl12_45 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f2136,plain,
( spl12_234
| ~ spl12_46
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1088,f1078,f592,f2134]) ).
fof(f2134,plain,
( spl12_234
<=> ! [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_234])]) ).
fof(f1088,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_46
| ~ spl12_127 ),
inference(superposition,[],[f1079,f593]) ).
fof(f2132,plain,
( spl12_233
| ~ spl12_45
| ~ spl12_127 ),
inference(avatar_split_clause,[],[f1087,f1078,f588,f2130]) ).
fof(f2130,plain,
( spl12_233
<=> ! [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_233])]) ).
fof(f1087,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_45
| ~ spl12_127 ),
inference(superposition,[],[f1079,f589]) ).
fof(f2128,plain,
( spl12_232
| ~ spl12_46
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1084,f1074,f592,f2126]) ).
fof(f2126,plain,
( spl12_232
<=> ! [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_232])]) ).
fof(f1074,plain,
( spl12_126
<=> ! [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_126])]) ).
fof(f1084,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_46
| ~ spl12_126 ),
inference(superposition,[],[f1075,f593]) ).
fof(f1075,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_126 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f2124,plain,
( spl12_231
| ~ spl12_45
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1083,f1074,f588,f2122]) ).
fof(f2122,plain,
( spl12_231
<=> ! [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_231])]) ).
fof(f1083,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_45
| ~ spl12_126 ),
inference(superposition,[],[f1075,f589]) ).
fof(f2120,plain,
( spl12_230
| ~ spl12_46
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1082,f1074,f592,f2118]) ).
fof(f2118,plain,
( spl12_230
<=> ! [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_230])]) ).
fof(f1082,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_46
| ~ spl12_126 ),
inference(superposition,[],[f1075,f593]) ).
fof(f2116,plain,
( spl12_229
| ~ spl12_45
| ~ spl12_126 ),
inference(avatar_split_clause,[],[f1081,f1074,f588,f2114]) ).
fof(f2114,plain,
( spl12_229
<=> ! [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_229])]) ).
fof(f1081,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_45
| ~ spl12_126 ),
inference(superposition,[],[f1075,f589]) ).
fof(f2110,plain,
( spl12_228
| ~ spl12_86
| ~ spl12_122 ),
inference(avatar_split_clause,[],[f1061,f1047,f774,f2108]) ).
fof(f2108,plain,
( spl12_228
<=> ! [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_228])]) ).
fof(f774,plain,
( spl12_86
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
fof(f1047,plain,
( spl12_122
<=> ! [X0] :
( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_122])]) ).
fof(f1061,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_86
| ~ spl12_122 ),
inference(resolution,[],[f1048,f775]) ).
fof(f775,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP1(X0,X1) )
| ~ spl12_86 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f1048,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK9(X0)) = X0
| m_Down(sK9(X0)) = X0 )
| ~ spl12_122 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f2106,plain,
( spl12_227
| ~ spl12_84
| ~ spl12_122 ),
inference(avatar_split_clause,[],[f1060,f1047,f766,f2104]) ).
fof(f2104,plain,
( spl12_227
<=> ! [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_227])]) ).
fof(f766,plain,
( spl12_84
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_84])]) ).
fof(f1060,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_84
| ~ spl12_122 ),
inference(resolution,[],[f1048,f767]) ).
fof(f767,plain,
( ! [X0,X1] :
( pidElem(sK10(X0,X1))
| sP0(X0,X1) )
| ~ spl12_84 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f2040,plain,
( spl12_226
| ~ spl12_98
| ~ spl12_121 ),
inference(avatar_split_clause,[],[f1043,f1008,f836,f2038]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl12_98
| ~ spl12_121 ),
inference(resolution,[],[f1009,f837]) ).
fof(f2036,plain,
( spl12_225
| ~ spl12_96
| ~ spl12_121 ),
inference(avatar_split_clause,[],[f1042,f1008,f827,f2034]) ).
fof(f1042,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl12_96
| ~ spl12_121 ),
inference(resolution,[],[f1009,f828]) ).
fof(f2032,plain,
( spl12_224
| ~ spl12_98
| ~ spl12_120 ),
inference(avatar_split_clause,[],[f1036,f1004,f836,f2030]) ).
fof(f1004,plain,
( spl12_120
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_120])]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl12_98
| ~ spl12_120 ),
inference(resolution,[],[f1005,f837]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl12_120 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f2028,plain,
( spl12_223
| ~ spl12_96
| ~ spl12_120 ),
inference(avatar_split_clause,[],[f1035,f1004,f827,f2026]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl12_96
| ~ spl12_120 ),
inference(resolution,[],[f1005,f828]) ).
fof(f1993,plain,
( spl12_222
| ~ spl12_119
| ~ spl12_120 ),
inference(avatar_split_clause,[],[f1039,f1004,f1000,f1991]) ).
fof(f1991,plain,
( spl12_222
<=> ! [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_222])]) ).
fof(f1039,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl12_119
| ~ spl12_120 ),
inference(superposition,[],[f1005,f1001]) ).
fof(f1989,plain,
( spl12_221
| ~ spl12_104
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1028,f1000,f885,f1987]) ).
fof(f1987,plain,
( spl12_221
<=> ! [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_221])]) ).
fof(f885,plain,
( spl12_104
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_104])]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_104
| ~ spl12_119 ),
inference(superposition,[],[f886,f1001]) ).
fof(f886,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl12_104 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f1912,plain,
( spl12_220
| ~ spl12_35
| ~ spl12_122 ),
inference(avatar_split_clause,[],[f1059,f1047,f526,f1910]) ).
fof(f526,plain,
( spl12_35
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f1059,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK9(m_Down(X0)))
| m_Down(X0) = m_Down(sK9(m_Down(X0))) )
| ~ spl12_35
| ~ spl12_122 ),
inference(resolution,[],[f1048,f527]) ).
fof(f527,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl12_35 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1908,plain,
( spl12_219
| ~ spl12_36
| ~ spl12_122 ),
inference(avatar_split_clause,[],[f1058,f1047,f530,f1906]) ).
fof(f530,plain,
( spl12_36
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f1058,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK9(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK9(m_Halt(X0))) )
| ~ spl12_36
| ~ spl12_122 ),
inference(resolution,[],[f1048,f531]) ).
fof(f531,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f1904,plain,
( spl12_218
| ~ spl12_72
| spl12_201 ),
inference(avatar_split_clause,[],[f1754,f1702,f705,f1901]) ).
fof(f1901,plain,
( spl12_218
<=> leq(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_218])]) ).
fof(f1754,plain,
( leq(sK8,sK7)
| ~ spl12_72
| spl12_201 ),
inference(resolution,[],[f1704,f706]) ).
fof(f1899,plain,
( spl12_217
| ~ spl12_110
| ~ spl12_121 ),
inference(avatar_split_clause,[],[f1045,f1008,f932,f1897]) ).
fof(f1897,plain,
( spl12_217
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_217])]) ).
fof(f932,plain,
( spl12_110
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_110])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl12_110
| ~ spl12_121 ),
inference(superposition,[],[f1009,f933]) ).
fof(f933,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl12_110 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1895,plain,
( spl12_216
| ~ spl12_109
| ~ spl12_120 ),
inference(avatar_split_clause,[],[f1038,f1004,f928,f1893]) ).
fof(f1893,plain,
( spl12_216
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_216])]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl12_109
| ~ spl12_120 ),
inference(superposition,[],[f1005,f929]) ).
fof(f1891,plain,
( spl12_215
| ~ spl12_110
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1020,f1000,f932,f1889]) ).
fof(f1020,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl12_110
| ~ spl12_119 ),
inference(superposition,[],[f1001,f933]) ).
fof(f1848,plain,
( spl12_214
| ~ spl12_103
| ~ spl12_110 ),
inference(avatar_split_clause,[],[f974,f932,f881,f1846]) ).
fof(f1846,plain,
( spl12_214
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_214])]) ).
fof(f974,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl12_103
| ~ spl12_110 ),
inference(superposition,[],[f882,f933]) ).
fof(f1844,plain,
( spl12_213
| ~ spl12_104
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f966,f928,f885,f1842]) ).
fof(f1842,plain,
( spl12_213
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f966,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl12_104
| ~ spl12_109 ),
inference(superposition,[],[f886,f929]) ).
fof(f1840,plain,
( spl12_212
| ~ spl12_94
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f917,f898,f819,f1838]) ).
fof(f1838,plain,
( spl12_212
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_212])]) ).
fof(f898,plain,
( spl12_107
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_107])]) ).
fof(f917,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl12_94
| ~ spl12_107 ),
inference(resolution,[],[f899,f820]) ).
fof(f899,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl12_107 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f1806,plain,
( spl12_211
| ~ spl12_99
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1030,f1000,f840,f1804]) ).
fof(f840,plain,
( spl12_99
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_99])]) ).
fof(f1030,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_99
| ~ spl12_119 ),
inference(superposition,[],[f841,f1001]) ).
fof(f841,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl12_99 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1802,plain,
( spl12_210
| ~ spl12_100
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1027,f1000,f844,f1800]) ).
fof(f1800,plain,
( spl12_210
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_210])]) ).
fof(f844,plain,
( spl12_100
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_100])]) ).
fof(f1027,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl12_100
| ~ spl12_119 ),
inference(superposition,[],[f845,f1001]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl12_100 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1798,plain,
( spl12_209
| ~ spl12_94
| ~ spl12_118 ),
inference(avatar_split_clause,[],[f1018,f996,f819,f1796]) ).
fof(f1796,plain,
( spl12_209
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_209])]) ).
fof(f996,plain,
( spl12_118
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_118])]) ).
fof(f1018,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl12_94
| ~ spl12_118 ),
inference(resolution,[],[f997,f820]) ).
fof(f997,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl12_118 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1733,plain,
( spl12_208
| ~ spl12_82
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1029,f1000,f757,f1731]) ).
fof(f757,plain,
( spl12_82
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl12_82
| ~ spl12_119 ),
inference(superposition,[],[f758,f1001]) ).
fof(f758,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl12_82 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1729,plain,
( spl12_207
| ~ spl12_87
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1026,f1000,f778,f1727]) ).
fof(f1727,plain,
( spl12_207
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_207])]) ).
fof(f778,plain,
( spl12_87
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl12_87
| ~ spl12_119 ),
inference(superposition,[],[f779,f1001]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl12_87 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f1725,plain,
( spl12_206
| ~ spl12_72
| ~ spl12_118 ),
inference(avatar_split_clause,[],[f1016,f996,f705,f1723]) ).
fof(f1723,plain,
( spl12_206
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f1016,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl12_72
| ~ spl12_118 ),
inference(resolution,[],[f997,f706]) ).
fof(f1721,plain,
( spl12_205
| ~ spl12_46
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f988,f948,f592,f1719]) ).
fof(f1719,plain,
( spl12_205
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_205])]) ).
fof(f948,plain,
( spl12_114
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_114])]) ).
fof(f988,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl12_46
| ~ spl12_114 ),
inference(superposition,[],[f949,f593]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl12_114 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f1717,plain,
( spl12_204
| ~ spl12_45
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f987,f948,f588,f1715]) ).
fof(f1715,plain,
( spl12_204
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_204])]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK11(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl12_45
| ~ spl12_114 ),
inference(superposition,[],[f949,f589]) ).
fof(f1713,plain,
( spl12_203
| ~ spl12_46
| ~ spl12_113 ),
inference(avatar_split_clause,[],[f984,f944,f592,f1711]) ).
fof(f1711,plain,
( spl12_203
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f944,plain,
( spl12_113
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_113])]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl12_46
| ~ spl12_113 ),
inference(superposition,[],[f945,f593]) ).
fof(f945,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
| sP0(X0,X1) )
| ~ spl12_113 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1709,plain,
( ~ spl12_201
| spl12_202
| ~ spl12_149 ),
inference(avatar_split_clause,[],[f1235,f1229,f1706,f1702]) ).
fof(f1229,plain,
( spl12_149
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_149])]) ).
fof(f1235,plain,
( setIn(sK8,alive)
| ~ leq(sK7,sK8)
| ~ spl12_149 ),
inference(equality_resolution,[],[f1230]) ).
fof(f1230,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) )
| ~ spl12_149 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1700,plain,
( spl12_200
| ~ spl12_45
| ~ spl12_113 ),
inference(avatar_split_clause,[],[f983,f944,f588,f1698]) ).
fof(f1698,plain,
( spl12_200
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_200])]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl12_45
| ~ spl12_113 ),
inference(superposition,[],[f945,f589]) ).
fof(f1696,plain,
( spl12_199
| ~ spl12_94
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f925,f902,f819,f1694]) ).
fof(f1694,plain,
( spl12_199
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_199])]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl12_94
| ~ spl12_108 ),
inference(resolution,[],[f903,f820]) ).
fof(f1692,plain,
( spl12_198
| ~ spl12_88
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f914,f898,f782,f1690]) ).
fof(f1690,plain,
( spl12_198
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_198])]) ).
fof(f914,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl12_88
| ~ spl12_107 ),
inference(resolution,[],[f899,f783]) ).
fof(f1618,plain,
( spl12_197
| ~ spl12_74
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1025,f1000,f713,f1616]) ).
fof(f1616,plain,
( spl12_197
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_197])]) ).
fof(f713,plain,
( spl12_74
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
fof(f1025,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl12_74
| ~ spl12_119 ),
inference(superposition,[],[f714,f1001]) ).
fof(f714,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl12_74 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1614,plain,
( spl12_196
| ~ spl12_71
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1024,f1000,f701,f1612]) ).
fof(f701,plain,
( spl12_71
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f1024,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl12_71
| ~ spl12_119 ),
inference(superposition,[],[f702,f1001]) ).
fof(f702,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl12_71 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1610,plain,
( spl12_195
| ~ spl12_72
| ~ spl12_114 ),
inference(avatar_split_clause,[],[f985,f948,f705,f1608]) ).
fof(f1608,plain,
( spl12_195
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_195])]) ).
fof(f985,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK11(X0,X1))) )
| ~ spl12_72
| ~ spl12_114 ),
inference(resolution,[],[f949,f706]) ).
fof(f1606,plain,
( spl12_194
| ~ spl12_101
| ~ spl12_110 ),
inference(avatar_split_clause,[],[f973,f932,f848,f1604]) ).
fof(f1604,plain,
( spl12_194
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_194])]) ).
fof(f973,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl12_101
| ~ spl12_110 ),
inference(superposition,[],[f849,f933]) ).
fof(f1602,plain,
( spl12_193
| ~ spl12_85
| ~ spl12_110 ),
inference(avatar_split_clause,[],[f972,f932,f770,f1600]) ).
fof(f1600,plain,
( spl12_193
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_193])]) ).
fof(f972,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl12_85
| ~ spl12_110 ),
inference(superposition,[],[f771,f933]) ).
fof(f1598,plain,
( spl12_192
| ~ spl12_100
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f965,f928,f844,f1596]) ).
fof(f1596,plain,
( spl12_192
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_192])]) ).
fof(f965,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl12_100
| ~ spl12_109 ),
inference(superposition,[],[f845,f929]) ).
fof(f1594,plain,
( spl12_191
| ~ spl12_87
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f964,f928,f778,f1592]) ).
fof(f1592,plain,
( spl12_191
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_191])]) ).
fof(f964,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl12_87
| ~ spl12_109 ),
inference(superposition,[],[f779,f929]) ).
fof(f1590,plain,
( spl12_190
| ~ spl12_88
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f922,f902,f782,f1588]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl12_88
| ~ spl12_108 ),
inference(resolution,[],[f903,f783]) ).
fof(f1586,plain,
( spl12_189
| ~ spl12_72
| spl12_180 ),
inference(avatar_split_clause,[],[f1522,f1468,f705,f1583]) ).
fof(f1522,plain,
( leq(sK6,sK5)
| ~ spl12_72
| spl12_180 ),
inference(resolution,[],[f1470,f706]) ).
fof(f1470,plain,
( ~ leq(sK5,sK6)
| spl12_180 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1581,plain,
( spl12_188
| ~ spl12_47
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f916,f898,f596,f1579]) ).
fof(f1579,plain,
( spl12_188
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_188])]) ).
fof(f916,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl12_47
| ~ spl12_107 ),
inference(resolution,[],[f899,f597]) ).
fof(f1567,plain,
( spl12_187
| ~ spl12_72
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f920,f902,f705,f1565]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl12_72
| ~ spl12_108 ),
inference(resolution,[],[f903,f706]) ).
fof(f1542,plain,
( spl12_186
| ~ spl12_10
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f878,f870,f389,f1540]) ).
fof(f1540,plain,
( spl12_186
<=> ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_186])]) ).
fof(f870,plain,
( spl12_102
<=> ! [X10,X11,X9,X8] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_102])]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl12_10
| ~ spl12_102 ),
inference(superposition,[],[f871,f391]) ).
fof(f871,plain,
( ! [X10,X11,X8,X9] :
( host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X8)))
| ~ elem(m_Down(X9),queue(host(X10)))
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
| ~ spl12_102 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f1538,plain,
( spl12_185
| ~ spl12_7
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f877,f870,f373,f1536]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl12_7
| ~ spl12_102 ),
inference(superposition,[],[f871,f375]) ).
fof(f1534,plain,
( spl12_184
| ~ spl12_6
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f876,f870,f368,f1532]) ).
fof(f876,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl12_6
| ~ spl12_102 ),
inference(superposition,[],[f871,f370]) ).
fof(f1521,plain,
( ~ spl12_3
| spl12_183
| ~ spl12_7
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f874,f870,f373,f1519,f353]) ).
fof(f874,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK8) )
| ~ spl12_7
| ~ spl12_102 ),
inference(superposition,[],[f871,f375]) ).
fof(f1510,plain,
( ~ spl12_2
| spl12_182
| ~ spl12_6
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f873,f870,f368,f1508,f348]) ).
fof(f348,plain,
( spl12_2
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X2) != host(X1)
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK6) )
| ~ spl12_6
| ~ spl12_102 ),
inference(superposition,[],[f871,f370]) ).
fof(f1475,plain,
( spl12_181
| ~ spl12_70
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1023,f1000,f697,f1473]) ).
fof(f697,plain,
( spl12_70
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
fof(f1023,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl12_70
| ~ spl12_119 ),
inference(superposition,[],[f698,f1001]) ).
fof(f698,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl12_70 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1471,plain,
( ~ spl12_180
| spl12_26
| ~ spl12_148 ),
inference(avatar_split_clause,[],[f1225,f1219,f484,f1468]) ).
fof(f1219,plain,
( spl12_148
<=> ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_148])]) ).
fof(f1225,plain,
( setIn(sK6,alive)
| ~ leq(sK5,sK6)
| ~ spl12_148 ),
inference(equality_resolution,[],[f1220]) ).
fof(f1220,plain,
( ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK5,X0) )
| ~ spl12_148 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1466,plain,
( spl12_179
| ~ spl12_73
| ~ spl12_110 ),
inference(avatar_split_clause,[],[f971,f932,f709,f1464]) ).
fof(f1464,plain,
( spl12_179
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_179])]) ).
fof(f971,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl12_73
| ~ spl12_110 ),
inference(superposition,[],[f710,f933]) ).
fof(f1462,plain,
( spl12_178
| ~ spl12_74
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f963,f928,f713,f1460]) ).
fof(f1460,plain,
( spl12_178
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_178])]) ).
fof(f963,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl12_74
| ~ spl12_109 ),
inference(superposition,[],[f714,f929]) ).
fof(f1458,plain,
( spl12_177
| ~ spl12_47
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f924,f902,f596,f1456]) ).
fof(f924,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl12_47
| ~ spl12_108 ),
inference(resolution,[],[f903,f597]) ).
fof(f1454,plain,
( spl12_176
| ~ spl12_42
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f918,f898,f570,f1452]) ).
fof(f1452,plain,
( spl12_176
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_176])]) ).
fof(f918,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl12_42
| ~ spl12_107 ),
inference(resolution,[],[f899,f571]) ).
fof(f1447,plain,
( ~ spl12_174
| spl12_175
| ~ spl12_40
| ~ spl12_107 ),
inference(avatar_split_clause,[],[f915,f898,f561,f1444,f1440]) ).
fof(f1444,plain,
( spl12_175
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_175])]) ).
fof(f915,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl12_40
| ~ spl12_107 ),
inference(resolution,[],[f899,f563]) ).
fof(f1438,plain,
( spl12_173
| ~ spl12_72
| ~ spl12_95 ),
inference(avatar_split_clause,[],[f860,f823,f705,f1436]) ).
fof(f823,plain,
( spl12_95
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_95])]) ).
fof(f860,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl12_72
| ~ spl12_95 ),
inference(resolution,[],[f824,f706]) ).
fof(f824,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl12_95 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f1396,plain,
( spl12_172
| ~ spl12_64
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1022,f1000,f666,f1394]) ).
fof(f666,plain,
( spl12_64
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f1022,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl12_64
| ~ spl12_119 ),
inference(superposition,[],[f667,f1001]) ).
fof(f667,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl12_64 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1392,plain,
( spl12_171
| ~ spl12_65
| ~ spl12_110 ),
inference(avatar_split_clause,[],[f970,f932,f670,f1390]) ).
fof(f1390,plain,
( spl12_171
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_171])]) ).
fof(f970,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl12_65
| ~ spl12_110 ),
inference(superposition,[],[f671,f933]) ).
fof(f1388,plain,
( spl12_170
| ~ spl12_64
| ~ spl12_109 ),
inference(avatar_split_clause,[],[f962,f928,f666,f1386]) ).
fof(f962,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl12_64
| ~ spl12_109 ),
inference(superposition,[],[f667,f929]) ).
fof(f1384,plain,
( spl12_169
| ~ spl12_42
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f926,f902,f570,f1382]) ).
fof(f926,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl12_42
| ~ spl12_108 ),
inference(resolution,[],[f903,f571]) ).
fof(f1380,plain,
( spl12_168
| ~ spl12_40
| ~ spl12_108 ),
inference(avatar_split_clause,[],[f923,f902,f561,f1378]) ).
fof(f923,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl12_40
| ~ spl12_108 ),
inference(resolution,[],[f903,f563]) ).
fof(f1376,plain,
( ~ spl12_167
| spl12_66
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1339,f1101,f677,f1373]) ).
fof(f1373,plain,
( spl12_167
<=> elem(m_Down(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_167])]) ).
fof(f677,plain,
( spl12_66
<=> elem(m_Down(sK3),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
fof(f1339,plain,
( ~ elem(m_Down(sK3),sK2)
| spl12_66
| ~ spl12_129 ),
inference(resolution,[],[f679,f1102]) ).
fof(f679,plain,
( ~ elem(m_Down(sK3),queue(host(sK6)))
| spl12_66 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f1371,plain,
( spl12_166
| ~ spl12_87
| ~ spl12_99 ),
inference(avatar_split_clause,[],[f864,f840,f778,f1369]) ).
fof(f1369,plain,
( spl12_166
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_166])]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl12_87
| ~ spl12_99 ),
inference(resolution,[],[f841,f779]) ).
fof(f1367,plain,
( spl12_165
| ~ spl12_88
| ~ spl12_95 ),
inference(avatar_split_clause,[],[f858,f823,f782,f1365]) ).
fof(f858,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl12_88
| ~ spl12_95 ),
inference(resolution,[],[f824,f783]) ).
fof(f1359,plain,
( spl12_164
| ~ spl12_82
| ~ spl12_87 ),
inference(avatar_split_clause,[],[f795,f778,f757,f1357]) ).
fof(f1357,plain,
( spl12_164
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f795,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl12_82
| ~ spl12_87 ),
inference(resolution,[],[f779,f758]) ).
fof(f1355,plain,
( spl12_163
| ~ spl12_70
| ~ spl12_81 ),
inference(avatar_split_clause,[],[f787,f753,f697,f1353]) ).
fof(f1353,plain,
( spl12_163
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_163])]) ).
fof(f787,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl12_70
| ~ spl12_81 ),
inference(superposition,[],[f698,f754]) ).
fof(f1351,plain,
( spl12_162
| ~ spl12_71
| ~ spl12_81 ),
inference(avatar_split_clause,[],[f786,f753,f701,f1349]) ).
fof(f1349,plain,
( spl12_162
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_162])]) ).
fof(f786,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl12_71
| ~ spl12_81 ),
inference(superposition,[],[f702,f754]) ).
fof(f1343,plain,
( spl12_161
| ~ spl12_41
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f797,f782,f566,f1341]) ).
fof(f566,plain,
( spl12_41
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f797,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl12_41
| ~ spl12_88 ),
inference(resolution,[],[f783,f567]) ).
fof(f567,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl12_41 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1304,plain,
( spl12_160
| ~ spl12_10
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1071,f1063,f389,f1302]) ).
fof(f1063,plain,
( spl12_125
<=> ! [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_125])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl12_10
| ~ spl12_125 ),
inference(superposition,[],[f1064,f391]) ).
fof(f1064,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl12_125 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1300,plain,
( spl12_159
| ~ spl12_7
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1070,f1063,f373,f1298]) ).
fof(f1070,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl12_7
| ~ spl12_125 ),
inference(superposition,[],[f1064,f375]) ).
fof(f1296,plain,
( spl12_158
| ~ spl12_6
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1069,f1063,f368,f1294]) ).
fof(f1069,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) )
| ~ spl12_6
| ~ spl12_125 ),
inference(superposition,[],[f1064,f370]) ).
fof(f1292,plain,
( spl12_157
| ~ spl12_10
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1068,f1063,f389,f1290]) ).
fof(f1068,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_10
| ~ spl12_125 ),
inference(superposition,[],[f1064,f391]) ).
fof(f1288,plain,
( spl12_156
| ~ spl12_7
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1067,f1063,f373,f1286]) ).
fof(f1286,plain,
( spl12_156
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_156])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_7
| ~ spl12_125 ),
inference(superposition,[],[f1064,f375]) ).
fof(f1284,plain,
( spl12_155
| ~ spl12_6
| ~ spl12_125 ),
inference(avatar_split_clause,[],[f1066,f1063,f368,f1282]) ).
fof(f1066,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl12_6
| ~ spl12_125 ),
inference(superposition,[],[f1064,f370]) ).
fof(f1276,plain,
( spl12_154
| ~ spl12_41
| ~ spl12_72 ),
inference(avatar_split_clause,[],[f745,f705,f566,f1274]) ).
fof(f745,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl12_41
| ~ spl12_72 ),
inference(resolution,[],[f706,f567]) ).
fof(f1267,plain,
( ~ spl12_1
| spl12_153
| ~ spl12_10
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f554,f542,f389,f1265,f343]) ).
fof(f1265,plain,
( spl12_153
<=> ! [X0] :
( host(X0) != host(sK6)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_153])]) ).
fof(f542,plain,
( spl12_39
<=> ! [X13,X12] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f554,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ setIn(sK3,alive)
| sK3 = X0 )
| ~ spl12_10
| ~ spl12_39 ),
inference(superposition,[],[f543,f391]) ).
fof(f543,plain,
( ! [X12,X13] :
( host(X13) != host(X12)
| ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13 )
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1259,plain,
( ~ spl12_3
| spl12_152
| ~ spl12_7
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f553,f542,f373,f1257,f353]) ).
fof(f553,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive)
| sK7 = X0 )
| ~ spl12_7
| ~ spl12_39 ),
inference(superposition,[],[f543,f375]) ).
fof(f1250,plain,
( ~ spl12_2
| spl12_151
| ~ spl12_6
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f552,f542,f368,f1248,f348]) ).
fof(f552,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ setIn(sK5,alive)
| sK5 = X0 )
| ~ spl12_6
| ~ spl12_39 ),
inference(superposition,[],[f543,f370]) ).
fof(f1240,plain,
( ~ spl12_1
| spl12_150
| ~ spl12_10
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f550,f538,f389,f1238,f343]) ).
fof(f538,plain,
( spl12_38
<=> ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f550,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK3,alive)
| ~ leq(sK3,X0)
| setIn(X0,alive) )
| ~ spl12_10
| ~ spl12_38 ),
inference(superposition,[],[f539,f391]) ).
fof(f539,plain,
( ! [X14,X15] :
( host(X14) != host(X15)
| ~ setIn(X15,alive)
| ~ leq(X15,X14)
| setIn(X14,alive) )
| ~ spl12_38 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f1231,plain,
( ~ spl12_3
| spl12_149
| ~ spl12_7
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f549,f538,f373,f1229,f353]) ).
fof(f549,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK7,alive)
| ~ leq(sK7,X0)
| setIn(X0,alive) )
| ~ spl12_7
| ~ spl12_38 ),
inference(superposition,[],[f539,f375]) ).
fof(f1221,plain,
( ~ spl12_2
| spl12_148
| ~ spl12_6
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f548,f538,f368,f1219,f348]) ).
fof(f548,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK5,alive)
| ~ leq(sK5,X0)
| setIn(X0,alive) )
| ~ spl12_6
| ~ spl12_38 ),
inference(superposition,[],[f539,f370]) ).
fof(f1217,plain,
( spl12_147
| ~ spl12_32
| ~ spl12_98 ),
inference(avatar_split_clause,[],[f863,f836,f514,f1215]) ).
fof(f1215,plain,
( spl12_147
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_147])]) ).
fof(f514,plain,
( spl12_32
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f863,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl12_32
| ~ spl12_98 ),
inference(resolution,[],[f837,f515]) ).
fof(f515,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f1213,plain,
( spl12_146
| ~ spl12_43
| ~ spl12_85 ),
inference(avatar_split_clause,[],[f792,f770,f574,f1211]) ).
fof(f1211,plain,
( spl12_146
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_146])]) ).
fof(f574,plain,
( spl12_43
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f792,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl12_43
| ~ spl12_85 ),
inference(resolution,[],[f771,f575]) ).
fof(f575,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f1209,plain,
( ~ spl12_145
| spl12_49
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1104,f1101,f604,f1206]) ).
fof(f1206,plain,
( spl12_145
<=> elem(m_Down(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_145])]) ).
fof(f604,plain,
( spl12_49
<=> elem(m_Down(sK5),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f1104,plain,
( ~ elem(m_Down(sK5),sK2)
| spl12_49
| ~ spl12_129 ),
inference(resolution,[],[f1102,f606]) ).
fof(f606,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| spl12_49 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f1190,plain,
( spl12_144
| ~ spl12_18
| ~ spl12_121 ),
inference(avatar_split_clause,[],[f1044,f1008,f431,f1188]) ).
fof(f431,plain,
( spl12_18
<=> cons(m_Down(sK4),sK2) = queue(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f1044,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl12_18
| ~ spl12_121 ),
inference(superposition,[],[f1009,f433]) ).
fof(f433,plain,
( cons(m_Down(sK4),sK2) = queue(host(sK6))
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1186,plain,
( spl12_143
| ~ spl12_18
| ~ spl12_119 ),
inference(avatar_split_clause,[],[f1019,f1000,f431,f1184]) ).
fof(f1019,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0)
| ~ spl12_18
| ~ spl12_119 ),
inference(superposition,[],[f1001,f433]) ).
fof(f1165,plain,
( spl12_142
| ~ spl12_10
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f461,f449,f389,f1163]) ).
fof(f1163,plain,
( spl12_142
<=> ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f449,plain,
( spl12_21
<=> ! [X22,X21] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f461,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK3),queue(host(X0))) )
| ~ spl12_10
| ~ spl12_21 ),
inference(superposition,[],[f450,f391]) ).
fof(f450,plain,
( ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f1161,plain,
( spl12_141
| ~ spl12_7
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f460,f449,f373,f1159]) ).
fof(f1159,plain,
( spl12_141
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_141])]) ).
fof(f460,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) )
| ~ spl12_7
| ~ spl12_21 ),
inference(superposition,[],[f450,f375]) ).
fof(f1157,plain,
( spl12_140
| ~ spl12_6
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f459,f449,f368,f1155]) ).
fof(f1155,plain,
( spl12_140
<=> ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_140])]) ).
fof(f459,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X0))) )
| ~ spl12_6
| ~ spl12_21 ),
inference(superposition,[],[f450,f370]) ).
fof(f1151,plain,
( spl12_139
| ~ spl12_10
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f980,f940,f389,f1149]) ).
fof(f980,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl12_10
| ~ spl12_112 ),
inference(superposition,[],[f941,f391]) ).
fof(f1147,plain,
( spl12_138
| ~ spl12_7
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f979,f940,f373,f1145]) ).
fof(f1145,plain,
( spl12_138
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_138])]) ).
fof(f979,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl12_7
| ~ spl12_112 ),
inference(superposition,[],[f941,f375]) ).
fof(f1143,plain,
( spl12_137
| ~ spl12_6
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f978,f940,f368,f1141]) ).
fof(f978,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl12_6
| ~ spl12_112 ),
inference(superposition,[],[f941,f370]) ).
fof(f1139,plain,
( spl12_135
| spl12_136
| ~ spl12_10
| ~ spl12_111 ),
inference(avatar_split_clause,[],[f977,f936,f389,f1137,f1133]) ).
fof(f1133,plain,
( spl12_135
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_135])]) ).
fof(f1137,plain,
( spl12_136
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_136])]) ).
fof(f977,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK6)))
| setIn(sK3,pids) )
| ~ spl12_10
| ~ spl12_111 ),
inference(superposition,[],[f937,f391]) ).
fof(f1131,plain,
( spl12_133
| spl12_134
| ~ spl12_7
| ~ spl12_111 ),
inference(avatar_split_clause,[],[f976,f936,f373,f1129,f1125]) ).
fof(f1125,plain,
( spl12_133
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_133])]) ).
fof(f1129,plain,
( spl12_134
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_134])]) ).
fof(f976,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(sK7,pids) )
| ~ spl12_7
| ~ spl12_111 ),
inference(superposition,[],[f937,f375]) ).
fof(f1123,plain,
( ~ spl12_132
| ~ spl12_37
| ~ spl12_129 ),
inference(avatar_split_clause,[],[f1105,f1101,f534,f1120]) ).
fof(f1120,plain,
( spl12_132
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_132])]) ).
fof(f1105,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl12_37
| ~ spl12_129 ),
inference(resolution,[],[f1102,f535]) ).
fof(f1118,plain,
( spl12_130
| spl12_131
| ~ spl12_6
| ~ spl12_111 ),
inference(avatar_split_clause,[],[f975,f936,f368,f1116,f1112]) ).
fof(f1112,plain,
( spl12_130
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_130])]) ).
fof(f1116,plain,
( spl12_131
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_131])]) ).
fof(f975,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(sK5,pids) )
| ~ spl12_6
| ~ spl12_111 ),
inference(superposition,[],[f937,f370]) ).
fof(f1103,plain,
( spl12_129
| ~ spl12_18
| ~ spl12_101 ),
inference(avatar_split_clause,[],[f868,f848,f431,f1101]) ).
fof(f868,plain,
( ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) )
| ~ spl12_18
| ~ spl12_101 ),
inference(superposition,[],[f849,f433]) ).
fof(f1097,plain,
( spl12_128
| ~ spl12_18
| ~ spl12_68 ),
inference(avatar_split_clause,[],[f736,f689,f431,f1094]) ).
fof(f1094,plain,
( spl12_128
<=> m_Down(sK4) = head(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_128])]) ).
fof(f736,plain,
( m_Down(sK4) = head(queue(host(sK6)))
| ~ spl12_18
| ~ spl12_68 ),
inference(superposition,[],[f690,f433]) ).
fof(f1080,plain,
spl12_127,
inference(avatar_split_clause,[],[f277,f1078]) ).
fof(f277,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[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(f1076,plain,
spl12_126,
inference(avatar_split_clause,[],[f268,f1074]) ).
fof(f268,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[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(f1065,plain,
spl12_125,
inference(avatar_split_clause,[],[f300,f1063]) ).
fof(f300,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1057,plain,
spl12_124,
inference(avatar_split_clause,[],[f281,f1055]) ).
fof(f1055,plain,
( spl12_124
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_124])]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1053,plain,
spl12_123,
inference(avatar_split_clause,[],[f272,f1051]) ).
fof(f1051,plain,
( spl12_123
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_123])]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1049,plain,
spl12_122,
inference(avatar_split_clause,[],[f231,f1047]) ).
fof(f231,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(f1010,plain,
spl12_121,
inference(avatar_split_clause,[],[f304,f1008]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,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(f1006,plain,
spl12_120,
inference(avatar_split_clause,[],[f301,f1004]) ).
fof(f301,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f178]) ).
fof(f178,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,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1002,plain,
spl12_119,
inference(avatar_split_clause,[],[f297,f1000]) ).
fof(f297,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f998,plain,
spl12_118,
inference(avatar_split_clause,[],[f286,f996]) ).
fof(f286,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(f994,plain,
spl12_117,
inference(avatar_split_clause,[],[f253,f992]) ).
fof(f992,plain,
( spl12_117
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_117])]) ).
fof(f253,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f958,plain,
spl12_116,
inference(avatar_split_clause,[],[f308,f956]) ).
fof(f956,plain,
( spl12_116
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_116])]) ).
fof(f308,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(f954,plain,
spl12_115,
inference(avatar_split_clause,[],[f307,f952]) ).
fof(f952,plain,
( spl12_115
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_115])]) ).
fof(f307,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(f950,plain,
spl12_114,
inference(avatar_split_clause,[],[f282,f948]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f946,plain,
spl12_113,
inference(avatar_split_clause,[],[f273,f944]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f942,plain,
spl12_112,
inference(avatar_split_clause,[],[f255,f940]) ).
fof(f255,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f938,plain,
spl12_111,
inference(avatar_split_clause,[],[f254,f936]) ).
fof(f254,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f934,plain,
spl12_110,
inference(avatar_split_clause,[],[f230,f932]) ).
fof(f230,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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(f930,plain,
spl12_109,
inference(avatar_split_clause,[],[f229,f928]) ).
fof(f229,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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(f904,plain,
spl12_108,
inference(avatar_split_clause,[],[f299,f902]) ).
fof(f299,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f900,plain,
spl12_107,
inference(avatar_split_clause,[],[f289,f898]) ).
fof(f289,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(f896,plain,
( spl12_105
| ~ spl12_106
| ~ spl12_18
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f751,f709,f431,f893,f889]) ).
fof(f889,plain,
( spl12_105
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_105])]) ).
fof(f893,plain,
( spl12_106
<=> ordered(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_106])]) ).
fof(f751,plain,
( ~ ordered(queue(host(sK6)))
| ordered(sK2)
| ~ spl12_18
| ~ spl12_73 ),
inference(superposition,[],[f710,f433]) ).
fof(f887,plain,
spl12_104,
inference(avatar_split_clause,[],[f285,f885]) ).
fof(f285,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(f883,plain,
spl12_103,
inference(avatar_split_clause,[],[f276,f881]) ).
fof(f276,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(f872,plain,
spl12_102,
inference(avatar_split_clause,[],[f189,f870]) ).
fof(f189,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(sK8),sK2)
& host(sK7) = host(sK8)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7)
& host(sK3) != host(sK7)
& s(host(sK3)) != host(sK7)
& host(sK3) = host(sK5)
& s(host(sK3)) != host(sK5)
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X7] :
( host(sK4) = X7
| setIn(X7,index(down,host(sK3)))
| ~ leq(s(zero),X7)
| leq(host(sK3),X7) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
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] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) != host(X5)
& host(X5) != s(host(X1)) )
& host(X3) = host(X1)
& host(X3) != s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X7] :
( host(X2) = X7
| setIn(X7,index(down,host(X1)))
| ~ leq(s(zero),X7)
| leq(host(X1),X7) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) )
=> ( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),sK2)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) != host(sK3)
& host(X5) != s(host(sK3)) )
& host(X3) = host(sK3)
& host(X3) != s(host(sK3)) )
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X7] :
( host(sK4) = X7
| setIn(X7,index(down,host(sK3)))
| ~ leq(s(zero),X7)
| leq(host(sK3),X7) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),sK2)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) != host(sK3)
& host(X5) != s(host(sK3)) )
& host(X3) = host(sK3)
& host(X3) != s(host(sK3)) )
=> ( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),sK2)
& host(X5) = host(X6)
& host(X4) = host(sK5)
& setIn(X5,alive)
& setIn(sK5,alive)
& host(X5) != host(sK5) )
& host(X5) != host(sK3)
& host(X5) != s(host(sK3)) )
& host(sK3) = host(sK5)
& s(host(sK3)) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),sK2)
& host(X5) = host(X6)
& host(X4) = host(sK5)
& setIn(X5,alive)
& setIn(sK5,alive)
& host(X5) != host(sK5) )
& host(X5) != host(sK3)
& host(X5) != s(host(sK3)) )
=> ( ? [X6] :
( elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(X6),sK2)
& host(X6) = host(sK7)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) )
& host(sK3) != host(sK7)
& s(host(sK3)) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X6] :
( elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(X6),sK2)
& host(X6) = host(sK7)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) )
=> ( elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(sK8),sK2)
& host(sK7) = host(sK8)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( ? [X6] :
( elem(m_Down(X4),queue(host(X5)))
& elem(m_Down(X6),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) != host(X5)
& host(X5) != s(host(X1)) )
& host(X3) = host(X1)
& host(X3) != s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X7] :
( host(X2) = X7
| setIn(X7,index(down,host(X1)))
| ~ leq(s(zero),X7)
| leq(host(X1),X7) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) != host(X26)
& s(host(X2)) != host(X26) )
& host(X2) = host(X24)
& s(host(X2)) != host(X24) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X23] :
( host(X3) = X23
| setIn(X23,index(down,host(X2)))
| ~ leq(s(zero),X23)
| leq(host(X2),X23) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) != host(X26)
& s(host(X2)) != host(X26) )
& host(X2) = host(X24)
& s(host(X2)) != host(X24) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X23] :
( host(X3) = X23
| setIn(X23,index(down,host(X2)))
| ~ leq(s(zero),X23)
| leq(host(X2),X23) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X10,X11] :
( ( host(X10) = host(X11)
& leq(X11,X10)
& ~ setIn(X10,alive) )
=> ~ setIn(X11,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X15,X16] :
( elem(m_Halt(X16),queue(host(X15)))
=> ~ leq(host(X15),host(X16)) )
& ! [X17,X18] :
( elem(m_Down(X18),queue(host(X17)))
=> host(X17) != host(X18) )
& ! [X19,X20] :
( elem(m_Down(X20),queue(host(X19)))
=> ~ setIn(X20,alive) )
& ! [X21,X22] :
( setIn(X22,alive)
=> ~ elem(m_Down(X22),queue(host(X21))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( elec_1 = index(status,host(X2))
& ! [X23] :
( ( leq(s(zero),X23)
& ~ leq(host(X2),X23) )
=> ( host(X3) = X23
| setIn(X23,index(down,host(X2))) ) ) )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X24] :
( s(host(X2)) != host(X24)
=> ( host(X2) = host(X24)
=> ! [X25,X26] :
( s(host(X2)) != host(X26)
=> ( host(X2) != host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X6) != s(host(X4))
=> ( host(X4) = host(X6)
=> ! [X16,X17] :
( s(host(X4)) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X6) != s(host(X4))
=> ( host(X4) = host(X6)
=> ! [X16,X17] :
( s(host(X4)) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f850,plain,
spl12_101,
inference(avatar_split_clause,[],[f306,f848]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f846,plain,
spl12_100,
inference(avatar_split_clause,[],[f303,f844]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f842,plain,
spl12_99,
inference(avatar_split_clause,[],[f298,f840]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f838,plain,
spl12_98,
inference(avatar_split_clause,[],[f278,f836]) ).
fof(f278,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f834,plain,
( ~ spl12_97
| ~ spl12_20
| ~ spl12_80 ),
inference(avatar_split_clause,[],[f794,f739,f441,f831]) ).
fof(f831,plain,
( spl12_97
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
fof(f739,plain,
( spl12_80
<=> elem(m_Down(sK4),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f794,plain,
( ~ setIn(sK4,alive)
| ~ spl12_20
| ~ spl12_80 ),
inference(resolution,[],[f741,f442]) ).
fof(f741,plain,
( elem(m_Down(sK4),queue(host(sK6)))
| ~ spl12_80 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f829,plain,
spl12_96,
inference(avatar_split_clause,[],[f269,f827]) ).
fof(f269,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f825,plain,
spl12_95,
inference(avatar_split_clause,[],[f267,f823]) ).
fof(f267,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(f821,plain,
spl12_94,
inference(avatar_split_clause,[],[f266,f819]) ).
fof(f266,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f817,plain,
spl12_93,
inference(avatar_split_clause,[],[f264,f815]) ).
fof(f815,plain,
( spl12_93
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_93])]) ).
fof(f264,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(f813,plain,
spl12_92,
inference(avatar_split_clause,[],[f262,f811]) ).
fof(f811,plain,
( spl12_92
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f262,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(f809,plain,
spl12_91,
inference(avatar_split_clause,[],[f260,f807]) ).
fof(f807,plain,
( spl12_91
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f260,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(f805,plain,
spl12_90,
inference(avatar_split_clause,[],[f258,f803]) ).
fof(f803,plain,
( spl12_90
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f258,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(f801,plain,
spl12_89,
inference(avatar_split_clause,[],[f256,f799]) ).
fof(f799,plain,
( spl12_89
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
fof(f256,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(f784,plain,
spl12_88,
inference(avatar_split_clause,[],[f288,f782]) ).
fof(f288,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f780,plain,
spl12_87,
inference(avatar_split_clause,[],[f284,f778]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f776,plain,
spl12_86,
inference(avatar_split_clause,[],[f280,f774]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f772,plain,
spl12_85,
inference(avatar_split_clause,[],[f275,f770]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f768,plain,
spl12_84,
inference(avatar_split_clause,[],[f271,f766]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f764,plain,
( spl12_83
| ~ spl12_18
| ~ spl12_69 ),
inference(avatar_split_clause,[],[f737,f693,f431,f761]) ).
fof(f761,plain,
( spl12_83
<=> sK2 = tail(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_83])]) ).
fof(f737,plain,
( sK2 = tail(queue(host(sK6)))
| ~ spl12_18
| ~ spl12_69 ),
inference(superposition,[],[f694,f433]) ).
fof(f759,plain,
spl12_82,
inference(avatar_split_clause,[],[f251,f757]) ).
fof(f251,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f755,plain,
spl12_81,
inference(avatar_split_clause,[],[f226,f753]) ).
fof(f226,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f742,plain,
( spl12_80
| ~ spl12_18
| ~ spl12_65 ),
inference(avatar_split_clause,[],[f687,f670,f431,f739]) ).
fof(f687,plain,
( elem(m_Down(sK4),queue(host(sK6)))
| ~ spl12_18
| ~ spl12_65 ),
inference(superposition,[],[f671,f433]) ).
fof(f735,plain,
spl12_79,
inference(avatar_split_clause,[],[f296,f733]) ).
fof(f733,plain,
( spl12_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f731,plain,
spl12_78,
inference(avatar_split_clause,[],[f295,f729]) ).
fof(f729,plain,
( spl12_78
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
fof(f295,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f727,plain,
spl12_77,
inference(avatar_split_clause,[],[f294,f725]) ).
fof(f725,plain,
( spl12_77
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
fof(f294,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f723,plain,
spl12_76,
inference(avatar_split_clause,[],[f293,f721]) ).
fof(f721,plain,
( spl12_76
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f293,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f719,plain,
spl12_75,
inference(avatar_split_clause,[],[f292,f717]) ).
fof(f717,plain,
( spl12_75
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f292,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f715,plain,
spl12_74,
inference(avatar_split_clause,[],[f283,f713]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f711,plain,
spl12_73,
inference(avatar_split_clause,[],[f274,f709]) ).
fof(f274,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f707,plain,
spl12_72,
inference(avatar_split_clause,[],[f250,f705]) ).
fof(f250,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f703,plain,
spl12_71,
inference(avatar_split_clause,[],[f249,f701]) ).
fof(f249,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f699,plain,
spl12_70,
inference(avatar_split_clause,[],[f248,f697]) ).
fof(f248,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f695,plain,
spl12_69,
inference(avatar_split_clause,[],[f247,f693]) ).
fof(f247,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f691,plain,
spl12_68,
inference(avatar_split_clause,[],[f246,f689]) ).
fof(f246,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f686,plain,
( ~ spl12_67
| ~ spl12_18
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f681,f654,f431,f683]) ).
fof(f654,plain,
( spl12_61
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f681,plain,
( q_nil != queue(host(sK6))
| ~ spl12_18
| ~ spl12_61 ),
inference(superposition,[],[f655,f433]) ).
fof(f655,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f680,plain,
( ~ spl12_66
| ~ spl12_10
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f579,f534,f389,f677]) ).
fof(f579,plain,
( ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ spl12_10
| ~ spl12_37 ),
inference(superposition,[],[f535,f391]) ).
fof(f672,plain,
spl12_65,
inference(avatar_split_clause,[],[f321,f670]) ).
fof(f321,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f668,plain,
spl12_64,
inference(avatar_split_clause,[],[f320,f666]) ).
fof(f320,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f664,plain,
spl12_63,
inference(avatar_split_clause,[],[f279,f662]) ).
fof(f662,plain,
( spl12_63
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f660,plain,
spl12_62,
inference(avatar_split_clause,[],[f270,f658]) ).
fof(f658,plain,
( spl12_62
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f656,plain,
spl12_61,
inference(avatar_split_clause,[],[f245,f654]) ).
fof(f245,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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(f652,plain,
( ~ spl12_60
| ~ spl12_7
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f578,f534,f373,f649]) ).
fof(f649,plain,
( spl12_60
<=> elem(m_Down(sK7),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
fof(f578,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl12_7
| ~ spl12_37 ),
inference(superposition,[],[f535,f375]) ).
fof(f647,plain,
spl12_59,
inference(avatar_split_clause,[],[f244,f645]) ).
fof(f645,plain,
( spl12_59
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
fof(f244,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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(f643,plain,
spl12_58,
inference(avatar_split_clause,[],[f243,f641]) ).
fof(f641,plain,
( spl12_58
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
fof(f243,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f639,plain,
spl12_57,
inference(avatar_split_clause,[],[f242,f637]) ).
fof(f637,plain,
( spl12_57
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
fof(f242,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f635,plain,
spl12_56,
inference(avatar_split_clause,[],[f241,f633]) ).
fof(f633,plain,
( spl12_56
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
fof(f241,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f631,plain,
spl12_55,
inference(avatar_split_clause,[],[f240,f629]) ).
fof(f629,plain,
( spl12_55
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
fof(f240,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f627,plain,
spl12_54,
inference(avatar_split_clause,[],[f239,f625]) ).
fof(f625,plain,
( spl12_54
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
fof(f239,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f623,plain,
spl12_53,
inference(avatar_split_clause,[],[f238,f621]) ).
fof(f621,plain,
( spl12_53
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
fof(f238,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f619,plain,
spl12_52,
inference(avatar_split_clause,[],[f237,f617]) ).
fof(f617,plain,
( spl12_52
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
fof(f237,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f615,plain,
spl12_51,
inference(avatar_split_clause,[],[f236,f613]) ).
fof(f613,plain,
( spl12_51
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
fof(f236,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f611,plain,
spl12_50,
inference(avatar_split_clause,[],[f235,f609]) ).
fof(f609,plain,
( spl12_50
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f235,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f607,plain,
( ~ spl12_49
| ~ spl12_6
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f577,f534,f368,f604]) ).
fof(f577,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl12_6
| ~ spl12_37 ),
inference(superposition,[],[f535,f370]) ).
fof(f602,plain,
spl12_48,
inference(avatar_split_clause,[],[f234,f600]) ).
fof(f600,plain,
( spl12_48
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f234,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f598,plain,
spl12_47,
inference(avatar_split_clause,[],[f225,f596]) ).
fof(f225,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f594,plain,
spl12_46,
inference(avatar_split_clause,[],[f224,f592]) ).
fof(f224,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f590,plain,
spl12_45,
inference(avatar_split_clause,[],[f223,f588]) ).
fof(f223,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f586,plain,
spl12_44,
inference(avatar_split_clause,[],[f332,f584]) ).
fof(f584,plain,
( spl12_44
<=> ! [X7] :
( leq(host(sK6),X7)
| setIn(X7,index(down,host(sK6)))
| host(sK4) = X7
| ~ leq(s(zero),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f332,plain,
! [X7] :
( leq(host(sK6),X7)
| setIn(X7,index(down,host(sK6)))
| host(sK4) = X7
| ~ leq(s(zero),X7) ),
inference(forward_demodulation,[],[f331,f326]) ).
fof(f326,plain,
host(sK3) = host(sK6),
inference(forward_demodulation,[],[f199,f205]) ).
fof(f205,plain,
host(sK5) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f199,plain,
host(sK3) = host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f331,plain,
! [X7] :
( setIn(X7,index(down,host(sK6)))
| host(sK4) = X7
| ~ leq(s(zero),X7)
| leq(host(sK3),X7) ),
inference(forward_demodulation,[],[f195,f326]) ).
fof(f195,plain,
! [X7] :
( host(sK4) = X7
| setIn(X7,index(down,host(sK3)))
| ~ leq(s(zero),X7)
| leq(host(sK3),X7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f576,plain,
spl12_43,
inference(avatar_split_clause,[],[f341,f574]) ).
fof(f341,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f228,f226]) ).
fof(f228,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f572,plain,
spl12_42,
inference(avatar_split_clause,[],[f222,f570]) ).
fof(f222,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f568,plain,
spl12_41,
inference(avatar_split_clause,[],[f221,f566]) ).
fof(f221,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f564,plain,
spl12_40,
inference(avatar_split_clause,[],[f217,f561]) ).
fof(f217,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(f544,plain,
spl12_39,
inference(avatar_split_clause,[],[f188,f542]) ).
fof(f188,plain,
! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 ),
inference(cnf_transformation,[],[f151]) ).
fof(f540,plain,
spl12_38,
inference(avatar_split_clause,[],[f187,f538]) ).
fof(f187,plain,
! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f536,plain,
( spl12_37
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f462,f449,f534]) ).
fof(f462,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl12_21 ),
inference(equality_resolution,[],[f450]) ).
fof(f532,plain,
spl12_36,
inference(avatar_split_clause,[],[f310,f530]) ).
fof(f310,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f528,plain,
spl12_35,
inference(avatar_split_clause,[],[f309,f526]) ).
fof(f309,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f524,plain,
spl12_34,
inference(avatar_split_clause,[],[f220,f522]) ).
fof(f220,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f520,plain,
spl12_33,
inference(avatar_split_clause,[],[f219,f518]) ).
fof(f518,plain,
( spl12_33
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f219,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f516,plain,
spl12_32,
inference(avatar_split_clause,[],[f218,f514]) ).
fof(f218,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f512,plain,
~ spl12_31,
inference(avatar_split_clause,[],[f216,f509]) ).
fof(f509,plain,
( spl12_31
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f216,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f507,plain,
~ spl12_30,
inference(avatar_split_clause,[],[f215,f504]) ).
fof(f504,plain,
( spl12_30
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f215,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f502,plain,
~ spl12_29,
inference(avatar_split_clause,[],[f214,f499]) ).
fof(f499,plain,
( spl12_29
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f214,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f497,plain,
~ spl12_28,
inference(avatar_split_clause,[],[f213,f494]) ).
fof(f494,plain,
( spl12_28
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f213,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f492,plain,
~ spl12_27,
inference(avatar_split_clause,[],[f212,f489]) ).
fof(f489,plain,
( spl12_27
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f212,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(f487,plain,
( ~ spl12_26
| ~ spl12_16
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f444,f441,f421,f484]) ).
fof(f444,plain,
( ~ setIn(sK6,alive)
| ~ spl12_16
| ~ spl12_20 ),
inference(resolution,[],[f442,f423]) ).
fof(f423,plain,
( elem(m_Down(sK6),queue(host(sK8)))
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f482,plain,
~ spl12_25,
inference(avatar_split_clause,[],[f211,f479]) ).
fof(f479,plain,
( spl12_25
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f211,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f477,plain,
~ spl12_24,
inference(avatar_split_clause,[],[f210,f474]) ).
fof(f474,plain,
( spl12_24
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f210,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f469,plain,
spl12_23,
inference(avatar_split_clause,[],[f186,f467]) ).
fof(f186,plain,
! [X18,X16,X17] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f455,plain,
spl12_22,
inference(avatar_split_clause,[],[f185,f453]) ).
fof(f185,plain,
! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f451,plain,
spl12_21,
inference(avatar_split_clause,[],[f184,f449]) ).
fof(f184,plain,
! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f443,plain,
spl12_20,
inference(avatar_split_clause,[],[f183,f441]) ).
fof(f183,plain,
! [X24,X23] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f439,plain,
spl12_19,
inference(avatar_split_clause,[],[f209,f436]) ).
fof(f436,plain,
( spl12_19
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f434,plain,
spl12_18,
inference(avatar_split_clause,[],[f340,f431]) ).
fof(f340,plain,
cons(m_Down(sK4),sK2) = queue(host(sK6)),
inference(forward_demodulation,[],[f190,f326]) ).
fof(f190,plain,
queue(host(sK3)) = cons(m_Down(sK4),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f429,plain,
( ~ spl12_17
| ~ spl12_10
| spl12_13 ),
inference(avatar_split_clause,[],[f409,f405,f389,f426]) ).
fof(f426,plain,
( spl12_17
<=> host(sK8) = s(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f405,plain,
( spl12_13
<=> s(host(sK3)) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f409,plain,
( host(sK8) != s(host(sK6))
| ~ spl12_10
| spl12_13 ),
inference(forward_demodulation,[],[f407,f391]) ).
fof(f407,plain,
( s(host(sK3)) != host(sK8)
| spl12_13 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f424,plain,
( spl12_16
| ~ spl12_7
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f403,f399,f373,f421]) ).
fof(f399,plain,
( spl12_12
<=> elem(m_Down(sK6),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f403,plain,
( elem(m_Down(sK6),queue(host(sK8)))
| ~ spl12_7
| ~ spl12_12 ),
inference(forward_demodulation,[],[f401,f375]) ).
fof(f401,plain,
( elem(m_Down(sK6),queue(host(sK7)))
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f419,plain,
spl12_15,
inference(avatar_split_clause,[],[f330,f416]) ).
fof(f416,plain,
( spl12_15
<=> elec_1 = index(status,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f330,plain,
elec_1 = index(status,host(sK6)),
inference(forward_demodulation,[],[f196,f326]) ).
fof(f196,plain,
elec_1 = index(status,host(sK3)),
inference(cnf_transformation,[],[f151]) ).
fof(f414,plain,
~ spl12_14,
inference(avatar_split_clause,[],[f328,f411]) ).
fof(f411,plain,
( spl12_14
<=> host(sK6) = s(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f328,plain,
host(sK6) != s(host(sK6)),
inference(forward_demodulation,[],[f327,f326]) ).
fof(f327,plain,
s(host(sK3)) != host(sK6),
inference(forward_demodulation,[],[f198,f205]) ).
fof(f198,plain,
s(host(sK3)) != host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f408,plain,
~ spl12_13,
inference(avatar_split_clause,[],[f325,f405]) ).
fof(f325,plain,
s(host(sK3)) != host(sK8),
inference(forward_demodulation,[],[f200,f206]) ).
fof(f206,plain,
host(sK7) = host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f200,plain,
s(host(sK3)) != host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f402,plain,
spl12_12,
inference(avatar_split_clause,[],[f208,f399]) ).
fof(f208,plain,
elem(m_Down(sK6),queue(host(sK7))),
inference(cnf_transformation,[],[f151]) ).
fof(f397,plain,
~ spl12_11,
inference(avatar_split_clause,[],[f339,f394]) ).
fof(f339,plain,
~ leq(host(sK6),host(sK4)),
inference(forward_demodulation,[],[f192,f326]) ).
fof(f192,plain,
~ leq(host(sK3),host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f392,plain,
spl12_10,
inference(avatar_split_clause,[],[f326,f389]) ).
fof(f386,plain,
~ spl12_9,
inference(avatar_split_clause,[],[f324,f383]) ).
fof(f383,plain,
( spl12_9
<=> host(sK3) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f324,plain,
host(sK3) != host(sK8),
inference(forward_demodulation,[],[f201,f206]) ).
fof(f201,plain,
host(sK3) != host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f381,plain,
~ spl12_8,
inference(avatar_split_clause,[],[f323,f378]) ).
fof(f323,plain,
host(sK6) != host(sK8),
inference(forward_demodulation,[],[f322,f205]) ).
fof(f322,plain,
host(sK5) != host(sK8),
inference(forward_demodulation,[],[f202,f206]) ).
fof(f202,plain,
host(sK5) != host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f376,plain,
spl12_7,
inference(avatar_split_clause,[],[f206,f373]) ).
fof(f371,plain,
spl12_6,
inference(avatar_split_clause,[],[f205,f368]) ).
fof(f366,plain,
~ spl12_5,
inference(avatar_split_clause,[],[f329,f363]) ).
fof(f363,plain,
( spl12_5
<=> leq(nbr_proc,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f329,plain,
~ leq(nbr_proc,host(sK6)),
inference(forward_demodulation,[],[f197,f326]) ).
fof(f197,plain,
~ leq(nbr_proc,host(sK3)),
inference(cnf_transformation,[],[f151]) ).
fof(f361,plain,
spl12_4,
inference(avatar_split_clause,[],[f207,f358]) ).
fof(f207,plain,
elem(m_Down(sK8),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f356,plain,
spl12_3,
inference(avatar_split_clause,[],[f204,f353]) ).
fof(f204,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f351,plain,
spl12_2,
inference(avatar_split_clause,[],[f203,f348]) ).
fof(f203,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f346,plain,
spl12_1,
inference(avatar_split_clause,[],[f191,f343]) ).
fof(f191,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:45:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (14023)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14026)WARNING: value z3 for option sas not known
% 0.14/0.37 % (14024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (14027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (14025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (14026)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (14028)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (14029)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (14030)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)
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [4]
% 0.21/0.40 Detected minimum model sizes of [4]
% 0.21/0.40 Detected maximum model sizes of [max]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.46 % (14028)First to succeed.
% 0.21/0.48 % (14028)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (14028)------------------------------
% 0.21/0.49 % (14028)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49 % (14028)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (14028)Memory used [KB]: 2376
% 0.21/0.49 % (14028)Time elapsed: 0.104 s
% 0.21/0.49 % (14028)Instructions burned: 168 (million)
% 0.21/0.49 % (14028)------------------------------
% 0.21/0.49 % (14028)------------------------------
% 0.21/0.49 % (14023)Success in time 0.118 s
%------------------------------------------------------------------------------