TSTP Solution File: SWV450+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV450+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 May 21 06:24:07 EDT 2024
% Result : Theorem 3.35s 0.84s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 637
% Syntax : Number of formulae : 2100 ( 261 unt; 0 def)
% Number of atoms : 7404 (1423 equ)
% Maximal formula atoms : 88 ( 3 avg)
% Number of connectives : 9194 (3890 ~;4223 |; 405 &)
% ( 595 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 570 ( 568 usr; 562 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 24 con; 0-2 aty)
% Number of variables : 2845 (2772 !; 73 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10609,plain,
$false,
inference(avatar_sat_refutation,[],[f341,f346,f351,f356,f361,f366,f371,f376,f382,f387,f392,f398,f404,f409,f414,f419,f424,f428,f433,f439,f448,f452,f456,f473,f482,f491,f496,f501,f506,f511,f516,f521,f525,f529,f533,f537,f541,f545,f553,f557,f581,f586,f590,f594,f598,f606,f610,f615,f619,f623,f627,f631,f635,f639,f643,f647,f651,f655,f660,f664,f668,f672,f676,f680,f684,f688,f697,f703,f707,f711,f715,f720,f724,f728,f732,f736,f740,f744,f748,f752,f764,f768,f772,f776,f780,f784,f788,f792,f808,f817,f821,f825,f829,f833,f837,f841,f845,f849,f853,f857,f861,f883,f896,f900,f904,f908,f936,f940,f944,f948,f952,f956,f960,f964,f1004,f1008,f1012,f1016,f1020,f1059,f1063,f1067,f1076,f1080,f1093,f1097,f1113,f1122,f1127,f1131,f1140,f1144,f1188,f1196,f1201,f1209,f1217,f1221,f1225,f1229,f1233,f1239,f1244,f1248,f1252,f1256,f1265,f1287,f1307,f1311,f1315,f1319,f1341,f1345,f1357,f1369,f1381,f1393,f1404,f1415,f1426,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1462,f1491,f1535,f1545,f1549,f1553,f1558,f1566,f1570,f1574,f1578,f1582,f1586,f1590,f1638,f1642,f1651,f1658,f1662,f1666,f1670,f1701,f1715,f1731,f1747,f1751,f1755,f1759,f1816,f1834,f1838,f1842,f1846,f1851,f1855,f1859,f1863,f1867,f1871,f1949,f1953,f1957,f1961,f1965,f1969,f1974,f1978,f1982,f1986,f2058,f2062,f2066,f2100,f2104,f2109,f2113,f2156,f2160,f2164,f2168,f2172,f2251,f2255,f2286,f2290,f2295,f2316,f2320,f2324,f2390,f2394,f2400,f2404,f2408,f2412,f2416,f2420,f2424,f2432,f2461,f2473,f2480,f2487,f2498,f2505,f2520,f2527,f2535,f2539,f2544,f2556,f2573,f2580,f2584,f2589,f2610,f2616,f2625,f2629,f2634,f2641,f2649,f2653,f2661,f2665,f2669,f2670,f2681,f2687,f2691,f2708,f2715,f2720,f2724,f2728,f2732,f2781,f2787,f2791,f2799,f2804,f2830,f2845,f2858,f2863,f2906,f2914,f2924,f2932,f2980,f2987,f2996,f3004,f3012,f3023,f3028,f3042,f3046,f3056,f3060,f3064,f3072,f3080,f3096,f3110,f3114,f3118,f3154,f3172,f3176,f3202,f3206,f3224,f3228,f3232,f3236,f3261,f3267,f3275,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3327,f3412,f3416,f3422,f3436,f3442,f3450,f3467,f3472,f3476,f3480,f3484,f3488,f3492,f3496,f3500,f3581,f3659,f3664,f3669,f3673,f3686,f3698,f3702,f3706,f3710,f3714,f3718,f3722,f3726,f3730,f3734,f3921,f3925,f3929,f3933,f3937,f3941,f3945,f3949,f3972,f4114,f4118,f4122,f4126,f4130,f4134,f4138,f4142,f4146,f4150,f4154,f4158,f4162,f4163,f4167,f4490,f4586,f4590,f4594,f4610,f4614,f4618,f4622,f4626,f4630,f4634,f4638,f4639,f4654,f4658,f4662,f4666,f4670,f4674,f4678,f4682,f4686,f4690,f4905,f5033,f5054,f5058,f5062,f5066,f5070,f5074,f5078,f5082,f5083,f5089,f5101,f5105,f5109,f5113,f5117,f5121,f5125,f5174,f5178,f5182,f5328,f5679,f5750,f5754,f5758,f5762,f5766,f5770,f5774,f5787,f5791,f5795,f5799,f5803,f5807,f5811,f5815,f5819,f6291,f6424,f6428,f6432,f6454,f6458,f6462,f6466,f6470,f6474,f6798,f6802,f6806,f6856,f6889,f6893,f6897,f6901,f7058,f7059,f7076,f7080,f7084,f7088,f7092,f7096,f7100,f7104,f7108,f7380,f7405,f7409,f7413,f7417,f7619,f7623,f7627,f7632,f7637,f7699,f7740,f7744,f7748,f7752,f7756,f7760,f7764,f7768,f7772,f7776,f7781,f8006,f8010,f8054,f8058,f8062,f8066,f8070,f8074,f8103,f8107,f8703,f8707,f8755,f8759,f8853,f8857,f8886,f8890,f8894,f8898,f8902,f8906,f9440,f9444,f9448,f9452,f9555,f9726,f9731,f9751,f9763,f9764,f9768,f9848,f9952,f9964,f10008,f10048,f10091,f10102,f10422,f10426,f10435,f10456,f10470,f10474,f10478,f10487,f10510,f10582,f10608]) ).
fof(f10608,plain,
( ~ spl14_4
| ~ spl14_132
| spl14_542 ),
inference(avatar_split_clause,[],[f9742,f9723,f1129,f353]) ).
fof(f353,plain,
( spl14_4
<=> elem(m_Down(sK10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f1129,plain,
( spl14_132
<=> ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
fof(f9723,plain,
( spl14_542
<=> elem(m_Down(sK10),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_542])]) ).
fof(f9742,plain,
( ~ elem(m_Down(sK10),sK2)
| ~ spl14_132
| spl14_542 ),
inference(resolution,[],[f9725,f1130]) ).
fof(f1130,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl14_132 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f9725,plain,
( ~ elem(m_Down(sK10),queue(host(sK8)))
| spl14_542 ),
inference(avatar_component_clause,[],[f9723]) ).
fof(f10582,plain,
( ~ spl14_183
| spl14_178
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f10513,f2502,f1488,f1555]) ).
fof(f1555,plain,
( spl14_183
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f1488,plain,
( spl14_178
<=> elem(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
fof(f2502,plain,
( spl14_263
<=> sK4 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_263])]) ).
fof(f10513,plain,
( ~ elem(m_Down(sK7),sK2)
| spl14_178
| ~ spl14_263 ),
inference(forward_demodulation,[],[f1490,f2504]) ).
fof(f2504,plain,
( sK4 = sK7
| ~ spl14_263 ),
inference(avatar_component_clause,[],[f2502]) ).
fof(f1490,plain,
( ~ elem(m_Down(sK4),sK2)
| spl14_178 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f10510,plain,
( spl14_90
| ~ spl14_17
| ~ spl14_560 ),
inference(avatar_split_clause,[],[f10488,f10480,f421,f801]) ).
fof(f801,plain,
( spl14_90
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f421,plain,
( spl14_17
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f10480,plain,
( spl14_560
<=> q_nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_560])]) ).
fof(f10488,plain,
( ordered(sK2)
| ~ spl14_17
| ~ spl14_560 ),
inference(superposition,[],[f423,f10482]) ).
fof(f10482,plain,
( q_nil = sK2
| ~ spl14_560 ),
inference(avatar_component_clause,[],[f10480]) ).
fof(f423,plain,
( ordered(q_nil)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f10487,plain,
( spl14_560
| spl14_561
| ~ spl14_20
| ~ spl14_378 ),
inference(avatar_split_clause,[],[f3741,f3712,f436,f10484,f10480]) ).
fof(f10484,plain,
( spl14_561
<=> elem(last(sK2),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_561])]) ).
fof(f436,plain,
( spl14_20
<=> cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f3712,plain,
( spl14_378
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_378])]) ).
fof(f3741,plain,
( elem(last(sK2),queue(host(sK8)))
| q_nil = sK2
| ~ spl14_20
| ~ spl14_378 ),
inference(superposition,[],[f3713,f438]) ).
fof(f438,plain,
( cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8))
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f3713,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl14_378 ),
inference(avatar_component_clause,[],[f3712]) ).
fof(f10478,plain,
( spl14_559
| ~ spl14_134
| ~ spl14_292 ),
inference(avatar_split_clause,[],[f2738,f2718,f1137,f10476]) ).
fof(f10476,plain,
( spl14_559
<=> ! [X0] :
( ~ leq(nbr_proc,host(X0))
| ~ elem(m_Ack(X0,sK5),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_559])]) ).
fof(f1137,plain,
( spl14_134
<=> nbr_proc = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_134])]) ).
fof(f2718,plain,
( spl14_292
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_292])]) ).
fof(f2738,plain,
( ! [X0] :
( ~ leq(nbr_proc,host(X0))
| ~ elem(m_Ack(X0,sK5),sK2) )
| ~ spl14_134
| ~ spl14_292 ),
inference(superposition,[],[f2719,f1139]) ).
fof(f1139,plain,
( nbr_proc = host(sK5)
| ~ spl14_134 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f2719,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl14_292 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f10474,plain,
( spl14_558
| ~ spl14_129
| ~ spl14_292 ),
inference(avatar_split_clause,[],[f2733,f2718,f1111,f10472]) ).
fof(f10472,plain,
( spl14_558
<=> ! [X0] :
( ~ elem(m_Ack(sK5,X0),sK2)
| ~ leq(host(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_558])]) ).
fof(f1111,plain,
( spl14_129
<=> ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f2733,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),sK2)
| ~ leq(host(X0),nbr_proc) )
| ~ spl14_129
| ~ spl14_292 ),
inference(resolution,[],[f2719,f1112]) ).
fof(f1112,plain,
( ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) )
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f10470,plain,
( ~ spl14_37
| spl14_556 ),
inference(avatar_contradiction_clause,[],[f10461]) ).
fof(f10461,plain,
( $false
| ~ spl14_37
| spl14_556 ),
inference(resolution,[],[f10451,f536]) ).
fof(f536,plain,
( ! [X0] : leq(X0,X0)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl14_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f10451,plain,
( ~ leq(host(sK8),host(sK8))
| spl14_556 ),
inference(avatar_component_clause,[],[f10449]) ).
fof(f10449,plain,
( spl14_556
<=> leq(host(sK8),host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_556])]) ).
fof(f10456,plain,
( ~ spl14_556
| ~ spl14_557
| ~ spl14_10
| ~ spl14_263
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2707,f2667,f2502,f384,f10453,f10449]) ).
fof(f10453,plain,
( spl14_557
<=> elem(m_Halt(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_557])]) ).
fof(f384,plain,
( spl14_10
<=> host(sK4) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f2667,plain,
( spl14_286
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK8),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_286])]) ).
fof(f2707,plain,
( ~ elem(m_Halt(sK7),sK2)
| ~ leq(host(sK8),host(sK8))
| ~ spl14_10
| ~ spl14_263
| ~ spl14_286 ),
inference(forward_demodulation,[],[f2702,f2504]) ).
fof(f2702,plain,
( ~ leq(host(sK8),host(sK8))
| ~ elem(m_Halt(sK4),sK2)
| ~ spl14_10
| ~ spl14_286 ),
inference(superposition,[],[f2668,f386]) ).
fof(f386,plain,
( host(sK4) = host(sK8)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f2668,plain,
( ! [X0] :
( ~ leq(host(sK8),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl14_286 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f10435,plain,
( ~ spl14_554
| ~ spl14_555
| ~ spl14_9
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2704,f2667,f379,f10432,f10428]) ).
fof(f10428,plain,
( spl14_554
<=> elem(m_Halt(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_554])]) ).
fof(f10432,plain,
( spl14_555
<=> leq(host(sK8),host(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_555])]) ).
fof(f379,plain,
( spl14_9
<=> host(sK6) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f2704,plain,
( ~ leq(host(sK8),host(sK10))
| ~ elem(m_Halt(sK6),sK2)
| ~ spl14_9
| ~ spl14_286 ),
inference(superposition,[],[f2668,f381]) ).
fof(f381,plain,
( host(sK6) = host(sK10)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f10426,plain,
( spl14_553
| ~ spl14_74
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2700,f2667,f722,f10424]) ).
fof(f10424,plain,
( spl14_553
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| leq(host(X0),host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_553])]) ).
fof(f722,plain,
( spl14_74
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f2700,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| leq(host(X0),host(sK8)) )
| ~ spl14_74
| ~ spl14_286 ),
inference(resolution,[],[f2668,f723]) ).
fof(f723,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f10422,plain,
( spl14_552
| ~ spl14_21
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2508,f2502,f445,f10419]) ).
fof(f10419,plain,
( spl14_552
<=> elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_552])]) ).
fof(f445,plain,
( spl14_21
<=> elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f2508,plain,
( elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK7)))
| ~ spl14_21
| ~ spl14_263 ),
inference(superposition,[],[f447,f2504]) ).
fof(f447,plain,
( elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f10102,plain,
( spl14_259
| ~ spl14_37
| ~ spl14_429 ),
inference(avatar_split_clause,[],[f9104,f5031,f535,f2470]) ).
fof(f2470,plain,
( spl14_259
<=> leq(sK10,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_259])]) ).
fof(f5031,plain,
( spl14_429
<=> ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_429])]) ).
fof(f9104,plain,
( leq(sK10,sK6)
| ~ spl14_37
| ~ spl14_429 ),
inference(resolution,[],[f5032,f536]) ).
fof(f5032,plain,
( ! [X0] :
( ~ leq(X0,sK10)
| leq(X0,sK6) )
| ~ spl14_429 ),
inference(avatar_component_clause,[],[f5031]) ).
fof(f10091,plain,
( spl14_551
| ~ spl14_271
| ~ spl14_400 ),
inference(avatar_split_clause,[],[f4479,f4140,f2570,f10089]) ).
fof(f10089,plain,
( spl14_551
<=> ! [X0] :
( leq(s(X0),s(sK10))
| ~ leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_551])]) ).
fof(f2570,plain,
( spl14_271
<=> leq(sK6,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_271])]) ).
fof(f4140,plain,
( spl14_400
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_400])]) ).
fof(f4479,plain,
( ! [X0] :
( leq(s(X0),s(sK10))
| ~ leq(X0,sK6) )
| ~ spl14_271
| ~ spl14_400 ),
inference(resolution,[],[f4141,f2571]) ).
fof(f2571,plain,
( leq(sK6,sK10)
| ~ spl14_271 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f4141,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| ~ leq(X0,X2) )
| ~ spl14_400 ),
inference(avatar_component_clause,[],[f4140]) ).
fof(f10048,plain,
( spl14_550
| ~ spl14_259
| ~ spl14_400 ),
inference(avatar_split_clause,[],[f4482,f4140,f2470,f10046]) ).
fof(f10046,plain,
( spl14_550
<=> ! [X0] :
( leq(s(X0),s(sK6))
| ~ leq(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_550])]) ).
fof(f4482,plain,
( ! [X0] :
( leq(s(X0),s(sK6))
| ~ leq(X0,sK10) )
| ~ spl14_259
| ~ spl14_400 ),
inference(resolution,[],[f4141,f2471]) ).
fof(f2471,plain,
( leq(sK10,sK6)
| ~ spl14_259 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f10008,plain,
( spl14_549
| ~ spl14_271
| ~ spl14_399 ),
inference(avatar_split_clause,[],[f4432,f4136,f2570,f10006]) ).
fof(f10006,plain,
( spl14_549
<=> ! [X0] :
( leq(s(X0),s(sK10))
| leq(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_549])]) ).
fof(f4136,plain,
( spl14_399
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_399])]) ).
fof(f4432,plain,
( ! [X0] :
( leq(s(X0),s(sK10))
| leq(sK6,X0) )
| ~ spl14_271
| ~ spl14_399 ),
inference(resolution,[],[f4137,f2571]) ).
fof(f4137,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| leq(X2,X0) )
| ~ spl14_399 ),
inference(avatar_component_clause,[],[f4136]) ).
fof(f9964,plain,
( spl14_271
| ~ spl14_407
| ~ spl14_428 ),
inference(avatar_split_clause,[],[f9953,f4688,f4488,f2570]) ).
fof(f4488,plain,
( spl14_407
<=> ! [X0] :
( leq(sK6,X0)
| leq(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_407])]) ).
fof(f4688,plain,
( spl14_428
<=> ! [X0] :
( leq(X0,sK10)
| ~ leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_428])]) ).
fof(f9953,plain,
( leq(sK6,sK10)
| ~ spl14_407
| ~ spl14_428 ),
inference(duplicate_literal_removal,[],[f8881]) ).
fof(f8881,plain,
( leq(sK6,sK10)
| leq(sK6,sK10)
| ~ spl14_407
| ~ spl14_428 ),
inference(resolution,[],[f4689,f4489]) ).
fof(f4489,plain,
( ! [X0] :
( leq(sK6,X0)
| leq(X0,sK10) )
| ~ spl14_407 ),
inference(avatar_component_clause,[],[f4488]) ).
fof(f4689,plain,
( ! [X0] :
( ~ leq(X0,sK6)
| leq(X0,sK10) )
| ~ spl14_428 ),
inference(avatar_component_clause,[],[f4688]) ).
fof(f9952,plain,
( spl14_548
| ~ spl14_259
| ~ spl14_399 ),
inference(avatar_split_clause,[],[f4435,f4136,f2470,f9950]) ).
fof(f9950,plain,
( spl14_548
<=> ! [X0] :
( leq(s(X0),s(sK6))
| leq(sK10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_548])]) ).
fof(f4435,plain,
( ! [X0] :
( leq(s(X0),s(sK6))
| leq(sK10,X0) )
| ~ spl14_259
| ~ spl14_399 ),
inference(resolution,[],[f4137,f2471]) ).
fof(f9848,plain,
( spl14_547
| ~ spl14_271
| ~ spl14_395 ),
inference(avatar_split_clause,[],[f4316,f4120,f2570,f9846]) ).
fof(f9846,plain,
( spl14_547
<=> ! [X0] :
( leq(X0,s(sK10))
| leq(s(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_547])]) ).
fof(f4120,plain,
( spl14_395
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_395])]) ).
fof(f4316,plain,
( ! [X0] :
( leq(X0,s(sK10))
| leq(s(sK6),X0) )
| ~ spl14_271
| ~ spl14_395 ),
inference(resolution,[],[f4121,f2571]) ).
fof(f4121,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X1,s(X2))
| leq(s(X0),X1) )
| ~ spl14_395 ),
inference(avatar_component_clause,[],[f4120]) ).
fof(f9768,plain,
( spl14_546
| ~ spl14_259
| ~ spl14_395 ),
inference(avatar_split_clause,[],[f4319,f4120,f2470,f9766]) ).
fof(f9766,plain,
( spl14_546
<=> ! [X0] :
( leq(X0,s(sK6))
| leq(s(sK10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_546])]) ).
fof(f4319,plain,
( ! [X0] :
( leq(X0,s(sK6))
| leq(s(sK10),X0) )
| ~ spl14_259
| ~ spl14_395 ),
inference(resolution,[],[f4121,f2471]) ).
fof(f9764,plain,
( spl14_271
| ~ spl14_407
| ~ spl14_428 ),
inference(avatar_split_clause,[],[f8882,f4688,f4488,f2570]) ).
fof(f8882,plain,
( leq(sK6,sK10)
| ~ spl14_407
| ~ spl14_428 ),
inference(duplicate_literal_removal,[],[f8881]) ).
fof(f9763,plain,
( ~ spl14_45
| spl14_544 ),
inference(avatar_contradiction_clause,[],[f9752]) ).
fof(f9752,plain,
( $false
| ~ spl14_45
| spl14_544 ),
inference(resolution,[],[f9746,f593]) ).
fof(f593,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f592,plain,
( spl14_45
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f9746,plain,
( ~ leq(host(sK8),nbr_proc)
| spl14_544 ),
inference(avatar_component_clause,[],[f9744]) ).
fof(f9744,plain,
( spl14_544
<=> leq(host(sK8),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_544])]) ).
fof(f9751,plain,
( ~ spl14_544
| ~ spl14_545
| ~ spl14_129
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2698,f2667,f1111,f9748,f9744]) ).
fof(f9748,plain,
( spl14_545
<=> elem(m_Halt(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_545])]) ).
fof(f2698,plain,
( ~ elem(m_Halt(sK5),sK2)
| ~ leq(host(sK8),nbr_proc)
| ~ spl14_129
| ~ spl14_286 ),
inference(resolution,[],[f2668,f1112]) ).
fof(f9731,plain,
( ~ spl14_271
| spl14_543
| ~ spl14_107
| ~ spl14_259 ),
inference(avatar_split_clause,[],[f7060,f2470,f902,f9728,f2570]) ).
fof(f9728,plain,
( spl14_543
<=> sK6 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_543])]) ).
fof(f902,plain,
( spl14_107
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f7060,plain,
( sK6 = sK10
| ~ leq(sK6,sK10)
| ~ spl14_107
| ~ spl14_259 ),
inference(resolution,[],[f2471,f903]) ).
fof(f903,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f9726,plain,
( ~ spl14_542
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f5095,f3448,f9723]) ).
fof(f3448,plain,
( spl14_357
<=> ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_357])]) ).
fof(f5095,plain,
( ~ elem(m_Down(sK10),queue(host(sK8)))
| ~ spl14_357 ),
inference(equality_resolution,[],[f3449]) ).
fof(f3449,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl14_357 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f9555,plain,
( spl14_259
| ~ spl14_37
| ~ spl14_429 ),
inference(avatar_split_clause,[],[f9104,f5031,f535,f2470]) ).
fof(f9452,plain,
( spl14_541
| ~ spl14_119
| ~ spl14_240
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2384,f2322,f2253,f1010,f9450]) ).
fof(f9450,plain,
( spl14_541
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_541])]) ).
fof(f1010,plain,
( spl14_119
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f2253,plain,
( spl14_240
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_240])]) ).
fof(f2322,plain,
( spl14_246
<=> ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_246])]) ).
fof(f2384,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2383,f1011]) ).
fof(f1011,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl14_119 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f2383,plain,
( ! [X2,X3,X0,X1,X4] :
( sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2382,f1011]) ).
fof(f2382,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2381,f1011]) ).
fof(f2381,plain,
( ! [X2,X3,X0,X1,X4] :
( sK13(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2369,f1011]) ).
fof(f2369,plain,
( ! [X2,X3,X0,X1,X4] :
( sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK13(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_240
| ~ spl14_246 ),
inference(resolution,[],[f2323,f2254]) ).
fof(f2254,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl14_240 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2323,plain,
( ! [X2,X0,X1] :
( elem(sK13(X0,snoc(X1,X2)),X1)
| sK13(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl14_246 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f9448,plain,
( spl14_540
| ~ spl14_119
| ~ spl14_240
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2364,f2318,f2253,f1010,f9446]) ).
fof(f9446,plain,
( spl14_540
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_540])]) ).
fof(f2318,plain,
( spl14_245
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_245])]) ).
fof(f2364,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2363,f1011]) ).
fof(f2363,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2362,f1011]) ).
fof(f2362,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2361,f1011]) ).
fof(f2361,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_119
| ~ spl14_240
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2349,f1011]) ).
fof(f2349,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl14_240
| ~ spl14_245 ),
inference(resolution,[],[f2319,f2254]) ).
fof(f2319,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,snoc(X1,X2)),X1)
| sK12(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl14_245 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f9444,plain,
( spl14_539
| ~ spl14_240
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2338,f2288,f2253,f9442]) ).
fof(f9442,plain,
( spl14_539
<=> ! [X4,X0,X3,X2,X1] :
( sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_539])]) ).
fof(f2288,plain,
( spl14_242
<=> ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_242])]) ).
fof(f2338,plain,
( ! [X2,X3,X0,X1,X4] :
( sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK13(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl14_240
| ~ spl14_242 ),
inference(resolution,[],[f2289,f2254]) ).
fof(f2289,plain,
( ! [X2,X0,X1] :
( elem(sK13(X0,cons(X1,X2)),X2)
| sK13(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl14_242 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f9440,plain,
( spl14_538
| ~ spl14_240
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2327,f2284,f2253,f9438]) ).
fof(f9438,plain,
( spl14_538
<=> ! [X4,X0,X3,X2,X1] :
( sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_538])]) ).
fof(f2284,plain,
( spl14_241
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_241])]) ).
fof(f2327,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl14_240
| ~ spl14_241 ),
inference(resolution,[],[f2285,f2254]) ).
fof(f2285,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,cons(X1,X2)),X2)
| sK12(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl14_241 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f8906,plain,
( spl14_537
| ~ spl14_233
| ~ spl14_248 ),
inference(avatar_split_clause,[],[f2396,f2392,f2111,f8904]) ).
fof(f8904,plain,
( spl14_537
<=> ! [X0] :
( sK13(last(X0),init(X0)) = m_Down(sK11(sK13(last(X0),init(X0))))
| sK13(last(X0),init(X0)) = m_Halt(sK11(sK13(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_537])]) ).
fof(f2111,plain,
( spl14_233
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_233])]) ).
fof(f2392,plain,
( spl14_248
<=> ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK11(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK11(sK13(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_248])]) ).
fof(f2396,plain,
( ! [X0] :
( sK13(last(X0),init(X0)) = m_Down(sK11(sK13(last(X0),init(X0))))
| sK13(last(X0),init(X0)) = m_Halt(sK11(sK13(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl14_233
| ~ spl14_248 ),
inference(resolution,[],[f2393,f2112]) ).
fof(f2112,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl14_233 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f2393,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| sK13(X0,X1) = m_Down(sK11(sK13(X0,X1)))
| sK13(X0,X1) = m_Halt(sK11(sK13(X0,X1))) )
| ~ spl14_248 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f8902,plain,
( spl14_536
| ~ spl14_231
| ~ spl14_247 ),
inference(avatar_split_clause,[],[f2395,f2388,f2102,f8900]) ).
fof(f8900,plain,
( spl14_536
<=> ! [X0] :
( sK12(head(X0),tail(X0)) = m_Down(sK11(sK12(head(X0),tail(X0))))
| sK12(head(X0),tail(X0)) = m_Halt(sK11(sK12(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_536])]) ).
fof(f2102,plain,
( spl14_231
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_231])]) ).
fof(f2388,plain,
( spl14_247
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_247])]) ).
fof(f2395,plain,
( ! [X0] :
( sK12(head(X0),tail(X0)) = m_Down(sK11(sK12(head(X0),tail(X0))))
| sK12(head(X0),tail(X0)) = m_Halt(sK11(sK12(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_231
| ~ spl14_247 ),
inference(resolution,[],[f2389,f2103]) ).
fof(f2103,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_231 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f2389,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1))) )
| ~ spl14_247 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f8898,plain,
( spl14_535
| ~ spl14_121
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2371,f2322,f1018,f8896]) ).
fof(f8896,plain,
( spl14_535
<=> ! [X0,X3,X2,X1] :
( sK13(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK13(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK13(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_535])]) ).
fof(f1018,plain,
( spl14_121
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
fof(f2371,plain,
( ! [X2,X3,X0,X1] :
( sK13(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK13(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK13(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl14_121
| ~ spl14_246 ),
inference(resolution,[],[f2323,f1019]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_121 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f8894,plain,
( spl14_534
| ~ spl14_121
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2351,f2318,f1018,f8892]) ).
fof(f8892,plain,
( spl14_534
<=> ! [X0,X3,X2,X1] :
( sK12(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK12(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK12(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_534])]) ).
fof(f2351,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK12(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK12(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl14_121
| ~ spl14_245 ),
inference(resolution,[],[f2319,f1019]) ).
fof(f8890,plain,
( spl14_533
| ~ spl14_121
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2340,f2288,f1018,f8888]) ).
fof(f8888,plain,
( spl14_533
<=> ! [X0,X3,X2,X1] :
( sK13(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK13(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK13(X0,cons(X1,snoc(X2,X3))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_533])]) ).
fof(f2340,plain,
( ! [X2,X3,X0,X1] :
( sK13(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK13(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK13(X0,cons(X1,snoc(X2,X3))),X2) )
| ~ spl14_121
| ~ spl14_242 ),
inference(resolution,[],[f2289,f1019]) ).
fof(f8886,plain,
( spl14_532
| ~ spl14_120
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2337,f2288,f1014,f8884]) ).
fof(f8884,plain,
( spl14_532
<=> ! [X0,X3,X2,X1] :
( sK13(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK13(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK13(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_532])]) ).
fof(f1014,plain,
( spl14_120
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
fof(f2337,plain,
( ! [X2,X3,X0,X1] :
( sK13(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK13(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK13(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl14_120
| ~ spl14_242 ),
inference(resolution,[],[f2289,f1015]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl14_120 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f8857,plain,
( spl14_531
| ~ spl14_121
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2329,f2284,f1018,f8855]) ).
fof(f8855,plain,
( spl14_531
<=> ! [X0,X3,X2,X1] :
( sK12(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK12(X0,cons(X1,snoc(X2,X3))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_531])]) ).
fof(f2329,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK12(X0,cons(X1,snoc(X2,X3))),X2) )
| ~ spl14_121
| ~ spl14_241 ),
inference(resolution,[],[f2285,f1019]) ).
fof(f8853,plain,
( spl14_530
| ~ spl14_120
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2326,f2284,f1014,f8851]) ).
fof(f8851,plain,
( spl14_530
<=> ! [X0,X3,X2,X1] :
( sK12(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK12(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK12(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_530])]) ).
fof(f2326,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK12(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK12(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl14_120
| ~ spl14_241 ),
inference(resolution,[],[f2285,f1015]) ).
fof(f8759,plain,
( spl14_529
| ~ spl14_100
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2274,f2253,f847,f8757]) ).
fof(f8757,plain,
( spl14_529
<=> ! [X0,X3,X2,X1] :
( sK13(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK13(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_529])]) ).
fof(f847,plain,
( spl14_100
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).
fof(f2274,plain,
( ! [X2,X3,X0,X1] :
( sK13(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK13(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) )
| ~ spl14_100
| ~ spl14_240 ),
inference(resolution,[],[f2254,f848]) ).
fof(f848,plain,
( ! [X0,X1] :
( elem(sK13(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl14_100 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f8755,plain,
( spl14_528
| ~ spl14_99
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2273,f2253,f843,f8753]) ).
fof(f8753,plain,
( spl14_528
<=> ! [X0,X3,X2,X1] :
( sK12(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK12(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_528])]) ).
fof(f843,plain,
( spl14_99
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
fof(f2273,plain,
( ! [X2,X3,X0,X1] :
( sK12(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK12(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) )
| ~ spl14_99
| ~ spl14_240 ),
inference(resolution,[],[f2254,f844]) ).
fof(f844,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl14_99 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f8707,plain,
( spl14_527
| ~ spl14_234
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2346,f2288,f2154,f8705]) ).
fof(f8705,plain,
( spl14_527
<=> ! [X2,X0,X1] :
( elem(sK13(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK13(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_527])]) ).
fof(f2154,plain,
( spl14_234
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_234])]) ).
fof(f2346,plain,
( ! [X2,X0,X1] :
( elem(sK13(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK13(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl14_234
| ~ spl14_242 ),
inference(superposition,[],[f2289,f2155]) ).
fof(f2155,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_234 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f8703,plain,
( spl14_526
| ~ spl14_234
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2335,f2284,f2154,f8701]) ).
fof(f8701,plain,
( spl14_526
<=> ! [X2,X0,X1] :
( elem(sK12(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK12(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_526])]) ).
fof(f2335,plain,
( ! [X2,X0,X1] :
( elem(sK12(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK12(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl14_234
| ~ spl14_241 ),
inference(superposition,[],[f2285,f2155]) ).
fof(f8107,plain,
( spl14_525
| ~ spl14_213
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2372,f2322,f1857,f8105]) ).
fof(f8105,plain,
( spl14_525
<=> ! [X2,X0,X1] :
( sK13(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK13(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_525])]) ).
fof(f1857,plain,
( spl14_213
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_213])]) ).
fof(f2372,plain,
( ! [X2,X0,X1] :
( sK13(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK13(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl14_213
| ~ spl14_246 ),
inference(resolution,[],[f2323,f1858]) ).
fof(f1858,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl14_213 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f8103,plain,
( spl14_524
| ~ spl14_210
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2370,f2322,f1844,f8101]) ).
fof(f8101,plain,
( spl14_524
<=> ! [X2,X0,X1] :
( sK13(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK13(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_524])]) ).
fof(f1844,plain,
( spl14_210
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_210])]) ).
fof(f2370,plain,
( ! [X2,X0,X1] :
( sK13(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK13(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl14_210
| ~ spl14_246 ),
inference(resolution,[],[f2323,f1845]) ).
fof(f1845,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl14_210 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f8074,plain,
( spl14_523
| ~ spl14_213
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2352,f2318,f1857,f8072]) ).
fof(f8072,plain,
( spl14_523
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK12(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_523])]) ).
fof(f2352,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK12(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl14_213
| ~ spl14_245 ),
inference(resolution,[],[f2319,f1858]) ).
fof(f8070,plain,
( spl14_522
| ~ spl14_210
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2350,f2318,f1844,f8068]) ).
fof(f8068,plain,
( spl14_522
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK12(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_522])]) ).
fof(f2350,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK12(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl14_210
| ~ spl14_245 ),
inference(resolution,[],[f2319,f1845]) ).
fof(f8066,plain,
( spl14_521
| ~ spl14_213
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2341,f2288,f1857,f8064]) ).
fof(f8064,plain,
( spl14_521
<=> ! [X2,X0,X1] :
( sK13(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK13(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_521])]) ).
fof(f2341,plain,
( ! [X2,X0,X1] :
( sK13(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK13(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl14_213
| ~ spl14_242 ),
inference(resolution,[],[f2289,f1858]) ).
fof(f8062,plain,
( spl14_520
| ~ spl14_210
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2339,f2288,f1844,f8060]) ).
fof(f8060,plain,
( spl14_520
<=> ! [X2,X0,X1] :
( sK13(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK13(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_520])]) ).
fof(f2339,plain,
( ! [X2,X0,X1] :
( sK13(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK13(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl14_210
| ~ spl14_242 ),
inference(resolution,[],[f2289,f1845]) ).
fof(f8058,plain,
( spl14_519
| ~ spl14_213
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2330,f2284,f1857,f8056]) ).
fof(f8056,plain,
( spl14_519
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK12(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_519])]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK12(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl14_213
| ~ spl14_241 ),
inference(resolution,[],[f2285,f1858]) ).
fof(f8054,plain,
( spl14_518
| ~ spl14_210
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2328,f2284,f1844,f8052]) ).
fof(f8052,plain,
( spl14_518
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK12(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_518])]) ).
fof(f2328,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK12(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl14_210
| ~ spl14_241 ),
inference(resolution,[],[f2285,f1845]) ).
fof(f8010,plain,
( spl14_517
| ~ spl14_220
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2082,f2056,f1959,f8008]) ).
fof(f8008,plain,
( spl14_517
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK12(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK12(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_517])]) ).
fof(f1959,plain,
( spl14_220
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_220])]) ).
fof(f2056,plain,
( spl14_227
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_227])]) ).
fof(f2082,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK12(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK12(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) )
| ~ spl14_220
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1960]) ).
fof(f1960,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl14_220 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f2057,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl14_227 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f8006,plain,
( spl14_516
| ~ spl14_219
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2081,f2056,f1955,f8004]) ).
fof(f8004,plain,
( spl14_516
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK12(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK12(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_516])]) ).
fof(f1955,plain,
( spl14_219
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_219])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK12(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK12(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl14_219
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1956]) ).
fof(f1956,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl14_219 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f7781,plain,
( spl14_515
| ~ spl14_342
| spl14_494 ),
inference(avatar_split_clause,[],[f7727,f7377,f3277,f7778]) ).
fof(f7778,plain,
( spl14_515
<=> leq(s(sK6),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_515])]) ).
fof(f3277,plain,
( spl14_342
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_342])]) ).
fof(f7377,plain,
( spl14_494
<=> leq(sK10,s(s(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_494])]) ).
fof(f7727,plain,
( leq(s(sK6),sK10)
| ~ spl14_342
| spl14_494 ),
inference(resolution,[],[f7378,f3278]) ).
fof(f3278,plain,
( ! [X0,X1] :
( leq(X1,s(X0))
| leq(X0,X1) )
| ~ spl14_342 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f7378,plain,
( ~ leq(sK10,s(s(sK6)))
| spl14_494 ),
inference(avatar_component_clause,[],[f7377]) ).
fof(f7776,plain,
( spl14_514
| ~ spl14_48
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2449,f2418,f608,f7774]) ).
fof(f7774,plain,
( spl14_514
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP1(m_Down(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_514])]) ).
fof(f608,plain,
( spl14_48
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f2418,plain,
( spl14_254
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_254])]) ).
fof(f2449,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP1(m_Down(X1),X2) )
| ~ spl14_48
| ~ spl14_254 ),
inference(superposition,[],[f2419,f609]) ).
fof(f609,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f2419,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl14_254 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f7772,plain,
( spl14_513
| ~ spl14_47
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2448,f2418,f604,f7770]) ).
fof(f7770,plain,
( spl14_513
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP1(m_Down(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_513])]) ).
fof(f604,plain,
( spl14_47
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f2448,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP1(m_Down(X1),X2) )
| ~ spl14_47
| ~ spl14_254 ),
inference(superposition,[],[f2419,f605]) ).
fof(f605,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f7768,plain,
( spl14_512
| ~ spl14_48
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2446,f2414,f608,f7766]) ).
fof(f7766,plain,
( spl14_512
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP1(m_Halt(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_512])]) ).
fof(f2414,plain,
( spl14_253
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_253])]) ).
fof(f2446,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP1(m_Halt(X1),X2) )
| ~ spl14_48
| ~ spl14_253 ),
inference(superposition,[],[f2415,f609]) ).
fof(f2415,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl14_253 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f7764,plain,
( spl14_511
| ~ spl14_47
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2445,f2414,f604,f7762]) ).
fof(f7762,plain,
( spl14_511
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP1(m_Halt(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_511])]) ).
fof(f2445,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X0,X1)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP1(m_Halt(X1),X2) )
| ~ spl14_47
| ~ spl14_253 ),
inference(superposition,[],[f2415,f605]) ).
fof(f7760,plain,
( spl14_510
| ~ spl14_48
| ~ spl14_250 ),
inference(avatar_split_clause,[],[f2437,f2402,f608,f7758]) ).
fof(f7758,plain,
( spl14_510
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP0(m_Down(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_510])]) ).
fof(f2402,plain,
( spl14_250
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_250])]) ).
fof(f2437,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP0(m_Down(X1),X2) )
| ~ spl14_48
| ~ spl14_250 ),
inference(superposition,[],[f2403,f609]) ).
fof(f2403,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl14_250 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f7756,plain,
( spl14_509
| ~ spl14_47
| ~ spl14_250 ),
inference(avatar_split_clause,[],[f2436,f2402,f604,f7754]) ).
fof(f7754,plain,
( spl14_509
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP0(m_Down(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_509])]) ).
fof(f2436,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Down(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP0(m_Down(X1),X2) )
| ~ spl14_47
| ~ spl14_250 ),
inference(superposition,[],[f2403,f605]) ).
fof(f7752,plain,
( spl14_508
| ~ spl14_48
| ~ spl14_249 ),
inference(avatar_split_clause,[],[f2434,f2398,f608,f7750]) ).
fof(f7750,plain,
( spl14_508
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP0(m_Halt(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_508])]) ).
fof(f2398,plain,
( spl14_249
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_249])]) ).
fof(f2434,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Down(X0),X2)
| ~ sP0(m_Halt(X1),X2) )
| ~ spl14_48
| ~ spl14_249 ),
inference(superposition,[],[f2399,f609]) ).
fof(f2399,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl14_249 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f7748,plain,
( spl14_507
| ~ spl14_47
| ~ spl14_249 ),
inference(avatar_split_clause,[],[f2433,f2398,f604,f7746]) ).
fof(f7746,plain,
( spl14_507
<=> ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP0(m_Halt(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_507])]) ).
fof(f2433,plain,
( ! [X2,X0,X1] :
( host(X0) != host(X1)
| leq(X1,X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(m_Halt(X1))
| ~ elem(m_Halt(X0),X2)
| ~ sP0(m_Halt(X1),X2) )
| ~ spl14_47
| ~ spl14_249 ),
inference(superposition,[],[f2399,f605]) ).
fof(f7744,plain,
( spl14_506
| ~ spl14_220
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2037,f1976,f1959,f7742]) ).
fof(f7742,plain,
( spl14_506
<=> ! [X0,X1] :
( leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK12(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_506])]) ).
fof(f1976,plain,
( spl14_224
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_224])]) ).
fof(f2037,plain,
( ! [X0,X1] :
( leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK12(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) )
| ~ spl14_220
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1960]) ).
fof(f1977,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 )
| ~ spl14_224 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f7740,plain,
( spl14_505
| ~ spl14_219
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2036,f1976,f1955,f7738]) ).
fof(f7738,plain,
( spl14_505
<=> ! [X0,X1] :
( leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK12(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_505])]) ).
fof(f2036,plain,
( ! [X0,X1] :
( leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK12(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl14_219
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1956]) ).
fof(f7699,plain,
( spl14_504
| ~ spl14_119
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2262,f2249,f1010,f7697]) ).
fof(f7697,plain,
( spl14_504
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ~ sP1(X2,cons(X3,cons(X0,X1)))
| ~ ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_504])]) ).
fof(f2249,plain,
( spl14_239
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_239])]) ).
fof(f2262,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ~ sP1(X2,cons(X3,cons(X0,X1)))
| ~ ordered(cons(X3,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_239 ),
inference(superposition,[],[f2250,f1011]) ).
fof(f2250,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_239 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f7637,plain,
( spl14_503
| ~ spl14_234
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2264,f2249,f2154,f7635]) ).
fof(f7635,plain,
( spl14_503
<=> ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP1(X1,cons(head(X0),tail(X0)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_503])]) ).
fof(f2264,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP1(X1,cons(head(X0),tail(X0)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_234
| ~ spl14_239 ),
inference(superposition,[],[f2250,f2155]) ).
fof(f7632,plain,
( spl14_502
| ~ spl14_222
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2244,f2170,f1967,f7630]) ).
fof(f7630,plain,
( spl14_502
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),sK11(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_502])]) ).
fof(f1967,plain,
( spl14_222
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_222])]) ).
fof(f2170,plain,
( spl14_238
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK11(m_Down(X0)))
| m_Down(X0) = m_Down(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_238])]) ).
fof(f2244,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),sK11(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_222
| ~ spl14_238 ),
inference(superposition,[],[f1968,f2171]) ).
fof(f2171,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK11(m_Down(X0)))
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_238 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f1968,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl14_222 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f7627,plain,
( spl14_501
| ~ spl14_220
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2243,f2170,f1959,f7625]) ).
fof(f7625,plain,
( spl14_501
<=> ! [X0,X1] :
( ~ leq(sK11(m_Down(X0)),pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_501])]) ).
fof(f2243,plain,
( ! [X0,X1] :
( ~ leq(sK11(m_Down(X0)),pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_220
| ~ spl14_238 ),
inference(superposition,[],[f1960,f2171]) ).
fof(f7623,plain,
( spl14_500
| ~ spl14_124
| ~ spl14_233 ),
inference(avatar_split_clause,[],[f2138,f2111,f1065,f7621]) ).
fof(f7621,plain,
( spl14_500
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK13(last(X0),init(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_500])]) ).
fof(f1065,plain,
( spl14_124
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
fof(f2138,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK13(last(X0),init(X0)))) )
| ~ spl14_124
| ~ spl14_233 ),
inference(resolution,[],[f2112,f1066]) ).
fof(f1066,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) )
| ~ spl14_124 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f7619,plain,
( spl14_499
| ~ spl14_123
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2125,f2102,f1061,f7617]) ).
fof(f7617,plain,
( spl14_499
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK12(head(X0),tail(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_499])]) ).
fof(f1061,plain,
( spl14_123
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f2125,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK12(head(X0),tail(X0)))) )
| ~ spl14_123
| ~ spl14_231 ),
inference(resolution,[],[f2103,f1062]) ).
fof(f1062,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) )
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f7417,plain,
( spl14_498
| ~ spl14_119
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2277,f2253,f1010,f7415]) ).
fof(f7415,plain,
( spl14_498
<=> ! [X4,X0,X3,X2,X1] :
( ~ elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| X2 = X3
| elem(X3,cons(X4,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_498])]) ).
fof(f2277,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| X2 = X3
| elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_240 ),
inference(superposition,[],[f2254,f1011]) ).
fof(f7413,plain,
( spl14_497
| ~ spl14_110
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2261,f2249,f938,f7411]) ).
fof(f7411,plain,
( spl14_497
<=> ! [X0,X1] :
( ordered(cons(X1,X0))
| ~ sP1(last(X0),cons(X1,init(X0)))
| ~ ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_497])]) ).
fof(f938,plain,
( spl14_110
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
fof(f2261,plain,
( ! [X0,X1] :
( ordered(cons(X1,X0))
| ~ sP1(last(X0),cons(X1,init(X0)))
| ~ ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_239 ),
inference(superposition,[],[f2250,f939]) ).
fof(f939,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl14_110 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f7409,plain,
( spl14_496
| ~ spl14_105
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2192,f2154,f894,f7407]) ).
fof(f7407,plain,
( spl14_496
<=> ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP0(head(X0),snoc(tail(X0),X1))
| ~ ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_496])]) ).
fof(f894,plain,
( spl14_105
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f2192,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP0(head(X0),snoc(tail(X0),X1))
| ~ ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_105
| ~ spl14_234 ),
inference(superposition,[],[f895,f2155]) ).
fof(f895,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f7405,plain,
( spl14_495
| ~ spl14_118
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2078,f2056,f1006,f7403]) ).
fof(f7403,plain,
( spl14_495
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_495])]) ).
fof(f1006,plain,
( spl14_118
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
fof(f2078,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl14_118
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1007]) ).
fof(f1007,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl14_118 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f7380,plain,
( spl14_494
| ~ spl14_179
| ~ spl14_410 ),
inference(avatar_split_clause,[],[f5893,f4592,f1533,f7377]) ).
fof(f1533,plain,
( spl14_179
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
fof(f4592,plain,
( spl14_410
<=> ! [X0] :
( leq(sK10,X0)
| leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_410])]) ).
fof(f5893,plain,
( leq(sK10,s(s(sK6)))
| ~ spl14_179
| ~ spl14_410 ),
inference(resolution,[],[f4593,f1534]) ).
fof(f1534,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_179 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f4593,plain,
( ! [X0] :
( leq(sK10,X0)
| leq(X0,sK6) )
| ~ spl14_410 ),
inference(avatar_component_clause,[],[f4592]) ).
fof(f7108,plain,
( spl14_493
| ~ spl14_110
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2375,f2322,f938,f7106]) ).
fof(f7106,plain,
( spl14_493
<=> ! [X0,X1] :
( elem(sK13(X1,X0),init(X0))
| last(X0) = sK13(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_493])]) ).
fof(f2375,plain,
( ! [X0,X1] :
( elem(sK13(X1,X0),init(X0))
| last(X0) = sK13(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_246 ),
inference(superposition,[],[f2323,f939]) ).
fof(f7104,plain,
( spl14_492
| ~ spl14_110
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2355,f2318,f938,f7102]) ).
fof(f7102,plain,
( spl14_492
<=> ! [X0,X1] :
( elem(sK12(X1,X0),init(X0))
| last(X0) = sK12(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_492])]) ).
fof(f2355,plain,
( ! [X0,X1] :
( elem(sK12(X1,X0),init(X0))
| last(X0) = sK12(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_245 ),
inference(superposition,[],[f2319,f939]) ).
fof(f7100,plain,
( spl14_491
| ~ spl14_109
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2345,f2288,f934,f7098]) ).
fof(f7098,plain,
( spl14_491
<=> ! [X0,X1] :
( elem(sK13(X1,X0),tail(X0))
| head(X0) = sK13(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_491])]) ).
fof(f934,plain,
( spl14_109
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
fof(f2345,plain,
( ! [X0,X1] :
( elem(sK13(X1,X0),tail(X0))
| head(X0) = sK13(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl14_109
| ~ spl14_242 ),
inference(superposition,[],[f2289,f935]) ).
fof(f935,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f7096,plain,
( spl14_490
| ~ spl14_109
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2334,f2284,f934,f7094]) ).
fof(f7094,plain,
( spl14_490
<=> ! [X0,X1] :
( elem(sK12(X1,X0),tail(X0))
| head(X0) = sK12(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_490])]) ).
fof(f2334,plain,
( ! [X0,X1] :
( elem(sK12(X1,X0),tail(X0))
| head(X0) = sK12(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl14_109
| ~ spl14_241 ),
inference(superposition,[],[f2285,f935]) ).
fof(f7092,plain,
( spl14_489
| ~ spl14_234
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2279,f2253,f2154,f7090]) ).
fof(f7090,plain,
( spl14_489
<=> ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| X1 = X2
| elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_489])]) ).
fof(f2279,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| X1 = X2
| elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_234
| ~ spl14_240 ),
inference(superposition,[],[f2254,f2155]) ).
fof(f7088,plain,
( spl14_488
| ~ spl14_110
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2276,f2253,f938,f7086]) ).
fof(f7086,plain,
( spl14_488
<=> ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,X0))
| last(X0) = X1
| elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_488])]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,X0))
| last(X0) = X1
| elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_240 ),
inference(superposition,[],[f2254,f939]) ).
fof(f7084,plain,
( spl14_487
| ~ spl14_120
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2194,f2154,f1014,f7082]) ).
fof(f7082,plain,
( spl14_487
<=> ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| head(X0) = X2
| elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_487])]) ).
fof(f2194,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| head(X0) = X2
| elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_120
| ~ spl14_234 ),
inference(superposition,[],[f1015,f2155]) ).
fof(f7080,plain,
( spl14_486
| ~ spl14_119
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2193,f2154,f1010,f7078]) ).
fof(f7078,plain,
( spl14_486
<=> ! [X2,X0,X1] :
( cons(head(X0),snoc(snoc(tail(X0),X1),X2)) = snoc(snoc(X0,X1),X2)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_486])]) ).
fof(f2193,plain,
( ! [X2,X0,X1] :
( cons(head(X0),snoc(snoc(tail(X0),X1),X2)) = snoc(snoc(X0,X1),X2)
| q_nil = X0 )
| ~ spl14_119
| ~ spl14_234 ),
inference(superposition,[],[f1011,f2155]) ).
fof(f7076,plain,
( spl14_485
| ~ spl14_227
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2116,f2098,f2056,f7074]) ).
fof(f7074,plain,
( spl14_485
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_485])]) ).
fof(f2098,plain,
( spl14_230
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).
fof(f2116,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) )
| ~ spl14_227
| ~ spl14_230 ),
inference(resolution,[],[f2099,f2057]) ).
fof(f2099,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl14_230 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f7059,plain,
( spl14_259
| ~ spl14_74
| spl14_271 ),
inference(avatar_split_clause,[],[f4496,f2570,f722,f2470]) ).
fof(f4496,plain,
( leq(sK10,sK6)
| ~ spl14_74
| spl14_271 ),
inference(resolution,[],[f2572,f723]) ).
fof(f2572,plain,
( ~ leq(sK6,sK10)
| spl14_271 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f7058,plain,
( spl14_484
| ~ spl14_218
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2077,f2056,f1951,f7056]) ).
fof(f7056,plain,
( spl14_484
<=> ! [X2,X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(s(X1),s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_484])]) ).
fof(f1951,plain,
( spl14_218
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_218])]) ).
fof(f2077,plain,
( ! [X2,X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl14_218
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1952]) ).
fof(f1952,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl14_218 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f6901,plain,
( spl14_483
| ~ spl14_96
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2241,f2170,f831,f6899]) ).
fof(f6899,plain,
( spl14_483
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK11(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_483])]) ).
fof(f831,plain,
( spl14_96
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_96])]) ).
fof(f2241,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK11(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_96
| ~ spl14_238 ),
inference(superposition,[],[f832,f2171]) ).
fof(f832,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 )
| ~ spl14_96 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f6897,plain,
( spl14_482
| ~ spl14_218
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2032,f1976,f1951,f6895]) ).
fof(f6895,plain,
( spl14_482
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_482])]) ).
fof(f2032,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl14_218
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1952]) ).
fof(f6893,plain,
( spl14_481
| ~ spl14_120
| ~ spl14_189 ),
inference(avatar_split_clause,[],[f1625,f1584,f1014,f6891]) ).
fof(f6891,plain,
( spl14_481
<=> ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_481])]) ).
fof(f1584,plain,
( spl14_189
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
fof(f1625,plain,
( ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) )
| ~ spl14_120
| ~ spl14_189 ),
inference(resolution,[],[f1585,f1015]) ).
fof(f1585,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl14_189 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f6889,plain,
( spl14_480
| ~ spl14_121
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1620,f1580,f1018,f6887]) ).
fof(f6887,plain,
( spl14_480
<=> ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_480])]) ).
fof(f1580,plain,
( spl14_188
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) )
| ~ spl14_121
| ~ spl14_188 ),
inference(resolution,[],[f1581,f1019]) ).
fof(f1581,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl14_188 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f6856,plain,
( spl14_479
| ~ spl14_179
| ~ spl14_407 ),
inference(avatar_split_clause,[],[f5166,f4488,f1533,f6853]) ).
fof(f6853,plain,
( spl14_479
<=> leq(sK6,s(s(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_479])]) ).
fof(f5166,plain,
( leq(sK6,s(s(sK10)))
| ~ spl14_179
| ~ spl14_407 ),
inference(resolution,[],[f4489,f1534]) ).
fof(f6806,plain,
( spl14_478
| ~ spl14_119
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2094,f2064,f1010,f6804]) ).
fof(f6804,plain,
( spl14_478
<=> ! [X4,X0,X3,X2,X1] :
( ordered(cons(X4,cons(X0,snoc(X1,m_Ack(X2,X3)))))
| ~ ordered(cons(X4,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_478])]) ).
fof(f2064,plain,
( spl14_229
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1,X4] :
( ordered(cons(X4,cons(X0,snoc(X1,m_Ack(X2,X3)))))
| ~ ordered(cons(X4,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_229 ),
inference(superposition,[],[f2065,f1011]) ).
fof(f2065,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_229 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f6802,plain,
( spl14_477
| ~ spl14_119
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2086,f2060,f1010,f6800]) ).
fof(f6800,plain,
( spl14_477
<=> ! [X4,X0,X3,X2,X1] :
( elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| ~ elem(X3,cons(X4,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_477])]) ).
fof(f2060,plain,
( spl14_228
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_228])]) ).
fof(f2086,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| ~ elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_228 ),
inference(superposition,[],[f2061,f1011]) ).
fof(f2061,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl14_228 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f6798,plain,
( spl14_476
| ~ spl14_107
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2075,f2056,f902,f6796]) ).
fof(f6796,plain,
( spl14_476
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_476])]) ).
fof(f2075,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) )
| ~ spl14_107
| ~ spl14_227 ),
inference(resolution,[],[f2057,f903]) ).
fof(f6474,plain,
( spl14_475
| ~ spl14_83
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2275,f2253,f766,f6472]) ).
fof(f6472,plain,
( spl14_475
<=> ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,cons(X0,q_nil)))
| X0 = X1
| elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_475])]) ).
fof(f766,plain,
( spl14_83
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f2275,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,cons(X0,q_nil)))
| X0 = X1
| elem(X1,cons(X2,q_nil)) )
| ~ spl14_83
| ~ spl14_240 ),
inference(superposition,[],[f2254,f767]) ).
fof(f767,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl14_83 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f6470,plain,
( spl14_474
| ~ spl14_83
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2260,f2249,f766,f6468]) ).
fof(f6468,plain,
( spl14_474
<=> ! [X0,X1] :
( ordered(cons(X1,cons(X0,q_nil)))
| ~ sP1(X0,cons(X1,q_nil))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_474])]) ).
fof(f2260,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(X0,q_nil)))
| ~ sP1(X0,cons(X1,q_nil))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl14_83
| ~ spl14_239 ),
inference(superposition,[],[f2250,f767]) ).
fof(f6466,plain,
( spl14_473
| ~ spl14_229
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2184,f2154,f2064,f6464]) ).
fof(f6464,plain,
( spl14_473
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_473])]) ).
fof(f2184,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_229
| ~ spl14_234 ),
inference(superposition,[],[f2065,f2155]) ).
fof(f6462,plain,
( spl14_472
| ~ spl14_228
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2177,f2154,f2060,f6460]) ).
fof(f6460,plain,
( spl14_472
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_472])]) ).
fof(f2177,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_228
| ~ spl14_234 ),
inference(superposition,[],[f2061,f2155]) ).
fof(f6458,plain,
( spl14_471
| ~ spl14_195
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2079,f2056,f1656,f6456]) ).
fof(f6456,plain,
( spl14_471
<=> ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_471])]) ).
fof(f1656,plain,
( spl14_195
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_195])]) ).
fof(f2079,plain,
( ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) )
| ~ spl14_195
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1657]) ).
fof(f1657,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl14_195 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f6454,plain,
( spl14_470
| ~ spl14_108
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2074,f2056,f906,f6452]) ).
fof(f6452,plain,
( spl14_470
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_470])]) ).
fof(f906,plain,
( spl14_108
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f2074,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl14_108
| ~ spl14_227 ),
inference(resolution,[],[f2057,f907]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f6432,plain,
( spl14_469
| ~ spl14_206
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2073,f2056,f1814,f6430]) ).
fof(f6430,plain,
( spl14_469
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_469])]) ).
fof(f1814,plain,
( spl14_206
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_206])]) ).
fof(f2073,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl14_206
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1815]) ).
fof(f1815,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl14_206 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f6428,plain,
( spl14_468
| ~ spl14_119
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f2052,f1984,f1010,f6426]) ).
fof(f6426,plain,
( spl14_468
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,m_Ldr(X2)))))
| ~ ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_468])]) ).
fof(f1984,plain,
( spl14_226
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_226])]) ).
fof(f2052,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,m_Ldr(X2)))))
| ~ ordered(cons(X3,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_226 ),
inference(superposition,[],[f1985,f1011]) ).
fof(f1985,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_226 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f6424,plain,
( spl14_467
| ~ spl14_119
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2044,f1980,f1010,f6422]) ).
fof(f6422,plain,
( spl14_467
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| sP1(X2,cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_467])]) ).
fof(f1980,plain,
( spl14_225
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_225])]) ).
fof(f2044,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| sP1(X2,cons(X3,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_225 ),
inference(superposition,[],[f1981,f1011]) ).
fof(f1981,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl14_225 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f6291,plain,
( spl14_466
| ~ spl14_44
| ~ spl14_410 ),
inference(avatar_split_clause,[],[f5887,f4592,f588,f6288]) ).
fof(f6288,plain,
( spl14_466
<=> leq(sK10,s(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_466])]) ).
fof(f588,plain,
( spl14_44
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f5887,plain,
( leq(sK10,s(sK6))
| ~ spl14_44
| ~ spl14_410 ),
inference(resolution,[],[f4593,f589]) ).
fof(f589,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f5819,plain,
( spl14_465
| ~ spl14_86
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2258,f2249,f778,f5817]) ).
fof(f5817,plain,
( spl14_465
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_465])]) ).
fof(f778,plain,
( spl14_86
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f2258,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) )
| ~ spl14_86
| ~ spl14_239 ),
inference(resolution,[],[f2250,f779]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f5815,plain,
( spl14_464
| ~ spl14_102
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2191,f2154,f855,f5813]) ).
fof(f5813,plain,
( spl14_464
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_464])]) ).
fof(f855,plain,
( spl14_102
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
fof(f2191,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_102
| ~ spl14_234 ),
inference(superposition,[],[f856,f2155]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl14_102 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f5811,plain,
( spl14_463
| ~ spl14_86
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2190,f2154,f778,f5809]) ).
fof(f5809,plain,
( spl14_463
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_463])]) ).
fof(f2190,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_86
| ~ spl14_234 ),
inference(superposition,[],[f779,f2155]) ).
fof(f5807,plain,
( spl14_462
| ~ spl14_226
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2183,f2154,f1984,f5805]) ).
fof(f5805,plain,
( spl14_462
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_462])]) ).
fof(f2183,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_226
| ~ spl14_234 ),
inference(superposition,[],[f1985,f2155]) ).
fof(f5803,plain,
( spl14_461
| ~ spl14_225
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2178,f2154,f1980,f5801]) ).
fof(f5801,plain,
( spl14_461
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_461])]) ).
fof(f2178,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_225
| ~ spl14_234 ),
inference(superposition,[],[f1981,f2155]) ).
fof(f5799,plain,
( spl14_460
| ~ spl14_110
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2085,f2060,f938,f5797]) ).
fof(f5797,plain,
( spl14_460
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_460])]) ).
fof(f2085,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_228 ),
inference(superposition,[],[f2061,f939]) ).
fof(f5795,plain,
( spl14_459
| ~ spl14_187
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2080,f2056,f1576,f5793]) ).
fof(f5793,plain,
( spl14_459
<=> ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_459])]) ).
fof(f1576,plain,
( spl14_187
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
fof(f2080,plain,
( ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) )
| ~ spl14_187
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1577]) ).
fof(f1577,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl14_187 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f5791,plain,
( spl14_458
| ~ spl14_186
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2076,f2056,f1572,f5789]) ).
fof(f5789,plain,
( spl14_458
<=> ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_458])]) ).
fof(f1572,plain,
( spl14_186
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
fof(f2076,plain,
( ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) )
| ~ spl14_186
| ~ spl14_227 ),
inference(resolution,[],[f2057,f1573]) ).
fof(f1573,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl14_186 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f5787,plain,
( spl14_457
| ~ spl14_110
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2043,f1980,f938,f5785]) ).
fof(f5785,plain,
( spl14_457
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_457])]) ).
fof(f2043,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_225 ),
inference(superposition,[],[f1981,f939]) ).
fof(f5774,plain,
( spl14_456
| ~ spl14_105
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2041,f1980,f894,f5772]) ).
fof(f5772,plain,
( spl14_456
<=> ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_456])]) ).
fof(f2041,plain,
( ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) )
| ~ spl14_105
| ~ spl14_225 ),
inference(resolution,[],[f1981,f895]) ).
fof(f5770,plain,
( spl14_455
| ~ spl14_195
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2034,f1976,f1656,f5768]) ).
fof(f5768,plain,
( spl14_455
<=> ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_455])]) ).
fof(f2034,plain,
( ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) )
| ~ spl14_195
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1657]) ).
fof(f5766,plain,
( spl14_454
| ~ spl14_108
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2029,f1976,f906,f5764]) ).
fof(f5764,plain,
( spl14_454
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_454])]) ).
fof(f2029,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl14_108
| ~ spl14_224 ),
inference(resolution,[],[f1977,f907]) ).
fof(f5762,plain,
( spl14_453
| ~ spl14_206
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2028,f1976,f1814,f5760]) ).
fof(f5760,plain,
( spl14_453
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_453])]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl14_206
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1815]) ).
fof(f5758,plain,
( spl14_452
| ~ spl14_119
| ~ spl14_216 ),
inference(avatar_split_clause,[],[f1943,f1869,f1010,f5756]) ).
fof(f5756,plain,
( spl14_452
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_452])]) ).
fof(f1869,plain,
( spl14_216
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_216])]) ).
fof(f1943,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) )
| ~ spl14_119
| ~ spl14_216 ),
inference(superposition,[],[f1870,f1011]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl14_216 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f5754,plain,
( spl14_451
| ~ spl14_119
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1931,f1865,f1010,f5752]) ).
fof(f5752,plain,
( spl14_451
<=> ! [X0,X3,X2,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_451])]) ).
fof(f1865,plain,
( spl14_215
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_215])]) ).
fof(f1931,plain,
( ! [X2,X3,X0,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl14_119
| ~ spl14_215 ),
inference(superposition,[],[f1866,f1011]) ).
fof(f1866,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl14_215 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f5750,plain,
( spl14_450
| ~ spl14_208
| ~ spl14_214 ),
inference(avatar_split_clause,[],[f1923,f1861,f1836,f5748]) ).
fof(f5748,plain,
( spl14_450
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK13(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_450])]) ).
fof(f1836,plain,
( spl14_208
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_208])]) ).
fof(f1861,plain,
( spl14_214
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_214])]) ).
fof(f1923,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK13(X0,X1)))) )
| ~ spl14_208
| ~ spl14_214 ),
inference(resolution,[],[f1862,f1837]) ).
fof(f1837,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl14_208 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1862,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK13(X0,X1)))
| sP1(X0,X1) )
| ~ spl14_214 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f5679,plain,
( spl14_259
| ~ spl14_74
| spl14_271 ),
inference(avatar_split_clause,[],[f4496,f2570,f722,f2470]) ).
fof(f5328,plain,
( spl14_449
| ~ spl14_44
| ~ spl14_407 ),
inference(avatar_split_clause,[],[f5161,f4488,f588,f5325]) ).
fof(f5325,plain,
( spl14_449
<=> leq(sK6,s(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_449])]) ).
fof(f5161,plain,
( leq(sK6,s(sK10))
| ~ spl14_44
| ~ spl14_407 ),
inference(resolution,[],[f4489,f589]) ).
fof(f5182,plain,
( spl14_448
| ~ spl14_102
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2270,f2253,f855,f5180]) ).
fof(f5180,plain,
( spl14_448
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_448])]) ).
fof(f2270,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) )
| ~ spl14_102
| ~ spl14_240 ),
inference(resolution,[],[f2254,f856]) ).
fof(f5178,plain,
( spl14_447
| ~ spl14_75
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2259,f2249,f726,f5176]) ).
fof(f5176,plain,
( spl14_447
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_447])]) ).
fof(f726,plain,
( spl14_75
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f2259,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) )
| ~ spl14_75
| ~ spl14_239 ),
inference(resolution,[],[f2250,f727]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f5174,plain,
( spl14_446
| ~ spl14_216
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2179,f2154,f1869,f5172]) ).
fof(f5172,plain,
( spl14_446
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_446])]) ).
fof(f2179,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl14_216
| ~ spl14_234 ),
inference(superposition,[],[f1870,f2155]) ).
fof(f5125,plain,
( spl14_445
| ~ spl14_120
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2083,f2060,f1014,f5123]) ).
fof(f5123,plain,
( spl14_445
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_445])]) ).
fof(f2083,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl14_120
| ~ spl14_228 ),
inference(resolution,[],[f2061,f1015]) ).
fof(f5121,plain,
( spl14_444
| ~ spl14_98
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2068,f2056,f839,f5119]) ).
fof(f5119,plain,
( spl14_444
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_444])]) ).
fof(f839,plain,
( spl14_98
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f2068,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) )
| ~ spl14_98
| ~ spl14_227 ),
inference(resolution,[],[f2057,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl14_98 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f5117,plain,
( spl14_443
| ~ spl14_118
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2038,f1976,f1006,f5115]) ).
fof(f5115,plain,
( spl14_443
<=> ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_443])]) ).
fof(f2038,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl14_118
| ~ spl14_224 ),
inference(duplicate_literal_removal,[],[f2033]) ).
fof(f2033,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl14_118
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1007]) ).
fof(f5113,plain,
( spl14_442
| ~ spl14_187
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2035,f1976,f1576,f5111]) ).
fof(f5111,plain,
( spl14_442
<=> ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_442])]) ).
fof(f2035,plain,
( ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) )
| ~ spl14_187
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1577]) ).
fof(f5109,plain,
( spl14_441
| ~ spl14_186
| ~ spl14_224 ),
inference(avatar_split_clause,[],[f2031,f1976,f1572,f5107]) ).
fof(f5107,plain,
( spl14_441
<=> ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_441])]) ).
fof(f2031,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) )
| ~ spl14_186
| ~ spl14_224 ),
inference(resolution,[],[f1977,f1573]) ).
fof(f5105,plain,
( spl14_440
| ~ spl14_89
| ~ spl14_222 ),
inference(avatar_split_clause,[],[f2019,f1967,f790,f5103]) ).
fof(f5103,plain,
( spl14_440
<=> ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK13(m_Down(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_440])]) ).
fof(f790,plain,
( spl14_89
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f2019,plain,
( ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK13(m_Down(s(X0)),X1)),X0) )
| ~ spl14_89
| ~ spl14_222 ),
inference(resolution,[],[f1968,f791]) ).
fof(f791,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl14_89 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f5101,plain,
( spl14_439
| ~ spl14_89
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f2013,f1963,f790,f5099]) ).
fof(f5099,plain,
( spl14_439
<=> ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK13(m_Halt(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_439])]) ).
fof(f1963,plain,
( spl14_221
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_221])]) ).
fof(f2013,plain,
( ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK13(m_Halt(s(X0)),X1)),X0) )
| ~ spl14_89
| ~ spl14_221 ),
inference(resolution,[],[f1964,f791]) ).
fof(f1964,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl14_221 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f5089,plain,
( ~ spl14_438
| ~ spl14_263
| spl14_358 ),
inference(avatar_split_clause,[],[f3468,f3461,f2502,f5086]) ).
fof(f5086,plain,
( spl14_438
<=> elem(m_Down(sK7),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_438])]) ).
fof(f3461,plain,
( spl14_358
<=> elem(m_Down(sK4),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_358])]) ).
fof(f3468,plain,
( ~ elem(m_Down(sK7),queue(host(sK10)))
| ~ spl14_263
| spl14_358 ),
inference(forward_demodulation,[],[f3463,f2504]) ).
fof(f3463,plain,
( ~ elem(m_Down(sK4),queue(host(sK10)))
| spl14_358 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f5083,plain,
( ~ spl14_153
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3456,f3445,f1258]) ).
fof(f1258,plain,
( spl14_153
<=> elem(m_Down(sK8),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_153])]) ).
fof(f3445,plain,
( spl14_356
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_356])]) ).
fof(f3456,plain,
( ~ elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_356 ),
inference(equality_resolution,[],[f3446]) ).
fof(f3446,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(sK10))) )
| ~ spl14_356 ),
inference(avatar_component_clause,[],[f3445]) ).
fof(f5082,plain,
( spl14_437
| ~ spl14_89
| ~ spl14_217 ),
inference(avatar_split_clause,[],[f1995,f1947,f790,f5080]) ).
fof(f5080,plain,
( spl14_437
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_437])]) ).
fof(f1947,plain,
( spl14_217
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_217])]) ).
fof(f1995,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) )
| ~ spl14_89
| ~ spl14_217 ),
inference(resolution,[],[f1948,f791]) ).
fof(f1948,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl14_217 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f5078,plain,
( spl14_436
| ~ spl14_105
| ~ spl14_216 ),
inference(avatar_split_clause,[],[f1940,f1869,f894,f5076]) ).
fof(f5076,plain,
( spl14_436
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_436])]) ).
fof(f1940,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl14_105
| ~ spl14_216 ),
inference(resolution,[],[f1870,f895]) ).
fof(f5074,plain,
( spl14_435
| ~ spl14_108
| ~ spl14_214 ),
inference(avatar_split_clause,[],[f1925,f1861,f906,f5072]) ).
fof(f5072,plain,
( spl14_435
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK13(X0,X1)))
| ~ leq(X2,pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_435])]) ).
fof(f1925,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK13(X0,X1)))
| ~ leq(X2,pidMsg(X0)) )
| ~ spl14_108
| ~ spl14_214 ),
inference(resolution,[],[f1862,f907]) ).
fof(f5070,plain,
( spl14_434
| ~ spl14_206
| ~ spl14_214 ),
inference(avatar_split_clause,[],[f1924,f1861,f1814,f5068]) ).
fof(f5068,plain,
( spl14_434
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_434])]) ).
fof(f1924,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK13(X0,X1))) )
| ~ spl14_206
| ~ spl14_214 ),
inference(resolution,[],[f1862,f1815]) ).
fof(f5066,plain,
( spl14_433
| ~ spl14_100
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1920,f1857,f847,f5064]) ).
fof(f5064,plain,
( spl14_433
<=> ! [X0,X1] :
( elem(sK13(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_433])]) ).
fof(f1920,plain,
( ! [X0,X1] :
( elem(sK13(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) )
| ~ spl14_100
| ~ spl14_213 ),
inference(resolution,[],[f1858,f848]) ).
fof(f5062,plain,
( spl14_432
| ~ spl14_99
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1919,f1857,f843,f5060]) ).
fof(f5060,plain,
( spl14_432
<=> ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_432])]) ).
fof(f1919,plain,
( ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl14_99
| ~ spl14_213 ),
inference(resolution,[],[f1858,f844]) ).
fof(f5058,plain,
( spl14_431
| ~ spl14_100
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1903,f1844,f847,f5056]) ).
fof(f5056,plain,
( spl14_431
<=> ! [X0,X1] :
( elem(sK13(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_431])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( elem(sK13(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) )
| ~ spl14_100
| ~ spl14_210 ),
inference(resolution,[],[f1845,f848]) ).
fof(f5054,plain,
( spl14_430
| ~ spl14_99
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1902,f1844,f843,f5052]) ).
fof(f5052,plain,
( spl14_430
<=> ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_430])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl14_99
| ~ spl14_210 ),
inference(resolution,[],[f1845,f844]) ).
fof(f5033,plain,
( spl14_429
| ~ spl14_108
| ~ spl14_259 ),
inference(avatar_split_clause,[],[f3007,f2470,f906,f5031]) ).
fof(f3007,plain,
( ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK10) )
| ~ spl14_108
| ~ spl14_259 ),
inference(resolution,[],[f2471,f907]) ).
fof(f4905,plain,
( spl14_259
| ~ spl14_74
| spl14_271 ),
inference(avatar_split_clause,[],[f4496,f2570,f722,f2470]) ).
fof(f4690,plain,
( spl14_428
| ~ spl14_108
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2999,f2570,f906,f4688]) ).
fof(f2999,plain,
( ! [X0] :
( leq(X0,sK10)
| ~ leq(X0,sK6) )
| ~ spl14_108
| ~ spl14_271 ),
inference(resolution,[],[f2571,f907]) ).
fof(f4686,plain,
( spl14_427
| ~ spl14_34
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2342,f2288,f523,f4684]) ).
fof(f4684,plain,
( spl14_427
<=> ! [X0,X1] :
( sK13(X0,cons(X1,q_nil)) = X1
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_427])]) ).
fof(f523,plain,
( spl14_34
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f2342,plain,
( ! [X0,X1] :
( sK13(X0,cons(X1,q_nil)) = X1
| sP1(X0,cons(X1,q_nil)) )
| ~ spl14_34
| ~ spl14_242 ),
inference(resolution,[],[f2289,f524]) ).
fof(f524,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f4682,plain,
( spl14_426
| ~ spl14_34
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2331,f2284,f523,f4680]) ).
fof(f4680,plain,
( spl14_426
<=> ! [X0,X1] :
( sK12(X0,cons(X1,q_nil)) = X1
| sP0(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_426])]) ).
fof(f2331,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,q_nil)) = X1
| sP0(X0,cons(X1,q_nil)) )
| ~ spl14_34
| ~ spl14_241 ),
inference(resolution,[],[f2285,f524]) ).
fof(f4678,plain,
( spl14_425
| ~ spl14_48
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2247,f2170,f608,f4676]) ).
fof(f4676,plain,
( spl14_425
<=> ! [X0] :
( sK11(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_425])]) ).
fof(f2247,plain,
( ! [X0] :
( sK11(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_48
| ~ spl14_238 ),
inference(forward_demodulation,[],[f2235,f609]) ).
fof(f2235,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK11(m_Down(X0))
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_48
| ~ spl14_238 ),
inference(superposition,[],[f609,f2171]) ).
fof(f4674,plain,
( spl14_424
| ~ spl14_47
| ~ spl14_48
| ~ spl14_237 ),
inference(avatar_split_clause,[],[f2229,f2166,f608,f604,f4672]) ).
fof(f4672,plain,
( spl14_424
<=> ! [X0] :
( sK11(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_424])]) ).
fof(f2166,plain,
( spl14_237
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK11(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_237])]) ).
fof(f2229,plain,
( ! [X0] :
( sK11(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_47
| ~ spl14_48
| ~ spl14_237 ),
inference(forward_demodulation,[],[f2219,f605]) ).
fof(f2219,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK11(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_48
| ~ spl14_237 ),
inference(superposition,[],[f609,f2167]) ).
fof(f2167,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK11(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_237 ),
inference(avatar_component_clause,[],[f2166]) ).
fof(f4670,plain,
( spl14_423
| ~ spl14_57
| ~ spl14_237 ),
inference(avatar_split_clause,[],[f2220,f2166,f645,f4668]) ).
fof(f4668,plain,
( spl14_423
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_423])]) ).
fof(f645,plain,
( spl14_57
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f2220,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_57
| ~ spl14_237 ),
inference(superposition,[],[f646,f2167]) ).
fof(f646,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f4666,plain,
( spl14_422
| ~ spl14_75
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2189,f2154,f726,f4664]) ).
fof(f4664,plain,
( spl14_422
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_422])]) ).
fof(f2189,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_75
| ~ spl14_234 ),
inference(superposition,[],[f727,f2155]) ).
fof(f4662,plain,
( spl14_421
| ~ spl14_70
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2188,f2154,f705,f4660]) ).
fof(f4660,plain,
( spl14_421
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_421])]) ).
fof(f705,plain,
( spl14_70
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f2188,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl14_70
| ~ spl14_234 ),
inference(superposition,[],[f706,f2155]) ).
fof(f706,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl14_70 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f4658,plain,
( spl14_420
| ~ spl14_83
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2093,f2064,f766,f4656]) ).
fof(f4656,plain,
( spl14_420
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_420])]) ).
fof(f2093,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl14_83
| ~ spl14_229 ),
inference(superposition,[],[f2065,f767]) ).
fof(f4654,plain,
( spl14_419
| ~ spl14_83
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2084,f2060,f766,f4652]) ).
fof(f4652,plain,
( spl14_419
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_419])]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl14_83
| ~ spl14_228 ),
inference(superposition,[],[f2061,f767]) ).
fof(f4639,plain,
( spl14_259
| ~ spl14_74
| spl14_271 ),
inference(avatar_split_clause,[],[f4496,f2570,f722,f2470]) ).
fof(f4638,plain,
( spl14_418
| ~ spl14_97
| ~ spl14_217 ),
inference(avatar_split_clause,[],[f1990,f1947,f835,f4636]) ).
fof(f4636,plain,
( spl14_418
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_418])]) ).
fof(f835,plain,
( spl14_97
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_97])]) ).
fof(f1990,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl14_97
| ~ spl14_217 ),
inference(resolution,[],[f1948,f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl14_97 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f4634,plain,
( spl14_417
| ~ spl14_110
| ~ spl14_216 ),
inference(avatar_split_clause,[],[f1942,f1869,f938,f4632]) ).
fof(f4632,plain,
( spl14_417
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_417])]) ).
fof(f1942,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_216 ),
inference(superposition,[],[f1870,f939]) ).
fof(f4630,plain,
( spl14_416
| ~ spl14_110
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1930,f1865,f938,f4628]) ).
fof(f4628,plain,
( spl14_416
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_416])]) ).
fof(f1930,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_215 ),
inference(superposition,[],[f1866,f939]) ).
fof(f4626,plain,
( spl14_415
| ~ spl14_189
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1918,f1857,f1584,f4624]) ).
fof(f4624,plain,
( spl14_415
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_415])]) ).
fof(f1918,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl14_189
| ~ spl14_213 ),
inference(resolution,[],[f1858,f1585]) ).
fof(f4622,plain,
( spl14_414
| ~ spl14_188
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1917,f1857,f1580,f4620]) ).
fof(f4620,plain,
( spl14_414
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_414])]) ).
fof(f1917,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl14_188
| ~ spl14_213 ),
inference(resolution,[],[f1858,f1581]) ).
fof(f4618,plain,
( spl14_413
| ~ spl14_189
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1901,f1844,f1584,f4616]) ).
fof(f4616,plain,
( spl14_413
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_413])]) ).
fof(f1901,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl14_189
| ~ spl14_210 ),
inference(resolution,[],[f1845,f1585]) ).
fof(f4614,plain,
( spl14_412
| ~ spl14_188
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1900,f1844,f1580,f4612]) ).
fof(f4612,plain,
( spl14_412
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_412])]) ).
fof(f1900,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl14_188
| ~ spl14_210 ),
inference(resolution,[],[f1845,f1581]) ).
fof(f4610,plain,
( spl14_411
| ~ spl14_97
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1890,f1836,f835,f4608]) ).
fof(f4608,plain,
( spl14_411
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_411])]) ).
fof(f1890,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl14_97
| ~ spl14_208 ),
inference(resolution,[],[f1837,f836]) ).
fof(f4594,plain,
( spl14_410
| ~ spl14_206
| ~ spl14_259 ),
inference(avatar_split_clause,[],[f3006,f2470,f1814,f4592]) ).
fof(f3006,plain,
( ! [X0] :
( leq(sK10,X0)
| leq(X0,sK6) )
| ~ spl14_206
| ~ spl14_259 ),
inference(resolution,[],[f2471,f1815]) ).
fof(f4590,plain,
( spl14_409
| ~ spl14_191
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1889,f1836,f1636,f4588]) ).
fof(f4588,plain,
( spl14_409
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_409])]) ).
fof(f1636,plain,
( spl14_191
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl14_191
| ~ spl14_208 ),
inference(resolution,[],[f1837,f1637]) ).
fof(f1637,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl14_191 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f4586,plain,
( spl14_408
| ~ spl14_118
| ~ spl14_191 ),
inference(avatar_split_clause,[],[f1675,f1636,f1006,f4584]) ).
fof(f4584,plain,
( spl14_408
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_408])]) ).
fof(f1675,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl14_118
| ~ spl14_191 ),
inference(resolution,[],[f1637,f1007]) ).
fof(f4490,plain,
( spl14_407
| ~ spl14_206
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2998,f2570,f1814,f4488]) ).
fof(f2998,plain,
( ! [X0] :
( leq(sK6,X0)
| leq(X0,sK10) )
| ~ spl14_206
| ~ spl14_271 ),
inference(resolution,[],[f2571,f1815]) ).
fof(f4167,plain,
( spl14_406
| ~ spl14_65
| ~ spl14_233 ),
inference(avatar_split_clause,[],[f2139,f2111,f678,f4165]) ).
fof(f4165,plain,
( spl14_406
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_406])]) ).
fof(f678,plain,
( spl14_65
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f2139,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl14_65
| ~ spl14_233 ),
inference(resolution,[],[f2112,f679]) ).
fof(f679,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f4163,plain,
( ~ spl14_307
| spl14_244
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2515,f2502,f2313,f2921]) ).
fof(f2921,plain,
( spl14_307
<=> elem(m_Ldr(sK7),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_307])]) ).
fof(f2313,plain,
( spl14_244
<=> elem(m_Ldr(sK4),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_244])]) ).
fof(f2515,plain,
( ~ elem(m_Ldr(sK7),queue(host(sK10)))
| spl14_244
| ~ spl14_263 ),
inference(superposition,[],[f2315,f2504]) ).
fof(f2315,plain,
( ~ elem(m_Ldr(sK4),queue(host(sK10)))
| spl14_244 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f4162,plain,
( spl14_405
| ~ spl14_64
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2126,f2102,f674,f4160]) ).
fof(f4160,plain,
( spl14_405
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_405])]) ).
fof(f674,plain,
( spl14_64
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f2126,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl14_64
| ~ spl14_231 ),
inference(resolution,[],[f2103,f675]) ).
fof(f675,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl14_64 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f4158,plain,
( spl14_404
| ~ spl14_97
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2115,f2098,f835,f4156]) ).
fof(f4156,plain,
( spl14_404
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_404])]) ).
fof(f2115,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl14_97
| ~ spl14_230 ),
inference(resolution,[],[f2099,f836]) ).
fof(f4154,plain,
( spl14_403
| ~ spl14_86
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2091,f2064,f778,f4152]) ).
fof(f4152,plain,
( spl14_403
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_403])]) ).
fof(f2091,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl14_86
| ~ spl14_229 ),
inference(resolution,[],[f2065,f779]) ).
fof(f4150,plain,
( spl14_402
| ~ spl14_83
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f2051,f1984,f766,f4148]) ).
fof(f4148,plain,
( spl14_402
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_402])]) ).
fof(f2051,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl14_83
| ~ spl14_226 ),
inference(superposition,[],[f1985,f767]) ).
fof(f4146,plain,
( spl14_401
| ~ spl14_83
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f2042,f1980,f766,f4144]) ).
fof(f4144,plain,
( spl14_401
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_401])]) ).
fof(f2042,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl14_83
| ~ spl14_225 ),
inference(superposition,[],[f1981,f767]) ).
fof(f4142,plain,
( spl14_400
| ~ spl14_97
| ~ spl14_218 ),
inference(avatar_split_clause,[],[f2005,f1951,f835,f4140]) ).
fof(f2005,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl14_97
| ~ spl14_218 ),
inference(resolution,[],[f1952,f836]) ).
fof(f4138,plain,
( spl14_399
| ~ spl14_191
| ~ spl14_218 ),
inference(avatar_split_clause,[],[f2004,f1951,f1636,f4136]) ).
fof(f2004,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl14_191
| ~ spl14_218 ),
inference(resolution,[],[f1952,f1637]) ).
fof(f4134,plain,
( spl14_398
| ~ spl14_48
| ~ spl14_214 ),
inference(avatar_split_clause,[],[f1928,f1861,f608,f4132]) ).
fof(f4132,plain,
( spl14_398
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_398])]) ).
fof(f1928,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl14_48
| ~ spl14_214 ),
inference(superposition,[],[f1862,f609]) ).
fof(f4130,plain,
( spl14_397
| ~ spl14_47
| ~ spl14_214 ),
inference(avatar_split_clause,[],[f1927,f1861,f604,f4128]) ).
fof(f4128,plain,
( spl14_397
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_397])]) ).
fof(f1927,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl14_47
| ~ spl14_214 ),
inference(superposition,[],[f1862,f605]) ).
fof(f4126,plain,
( spl14_396
| ~ spl14_89
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1884,f1836,f790,f4124]) ).
fof(f4124,plain,
( spl14_396
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_396])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl14_89
| ~ spl14_208 ),
inference(resolution,[],[f1837,f791]) ).
fof(f4122,plain,
( spl14_395
| ~ spl14_97
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1827,f1814,f835,f4120]) ).
fof(f1827,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl14_97
| ~ spl14_206 ),
inference(resolution,[],[f1815,f836]) ).
fof(f4118,plain,
( spl14_394
| ~ spl14_191
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1826,f1814,f1636,f4116]) ).
fof(f4116,plain,
( spl14_394
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_394])]) ).
fof(f1826,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl14_191
| ~ spl14_206 ),
inference(resolution,[],[f1815,f1637]) ).
fof(f4114,plain,
( spl14_393
| ~ spl14_108
| ~ spl14_191 ),
inference(avatar_split_clause,[],[f1677,f1636,f906,f4112]) ).
fof(f4112,plain,
( spl14_393
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_393])]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl14_108
| ~ spl14_191 ),
inference(resolution,[],[f1637,f907]) ).
fof(f3972,plain,
( spl14_392
| ~ spl14_37
| ~ spl14_292 ),
inference(avatar_split_clause,[],[f2734,f2718,f535,f3970]) ).
fof(f3970,plain,
( spl14_392
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_392])]) ).
fof(f2734,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl14_37
| ~ spl14_292 ),
inference(resolution,[],[f2719,f536]) ).
fof(f3949,plain,
( spl14_391
| ~ spl14_69
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2187,f2154,f701,f3947]) ).
fof(f3947,plain,
( spl14_391
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_391])]) ).
fof(f701,plain,
( spl14_69
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f2187,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl14_69
| ~ spl14_234 ),
inference(superposition,[],[f702,f2155]) ).
fof(f702,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f3945,plain,
( spl14_390
| ~ spl14_75
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2092,f2064,f726,f3943]) ).
fof(f3943,plain,
( spl14_390
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_390])]) ).
fof(f2092,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl14_75
| ~ spl14_229 ),
inference(resolution,[],[f2065,f727]) ).
fof(f3941,plain,
( spl14_389
| ~ spl14_86
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f2049,f1984,f778,f3939]) ).
fof(f3939,plain,
( spl14_389
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_389])]) ).
fof(f2049,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl14_86
| ~ spl14_226 ),
inference(resolution,[],[f1985,f779]) ).
fof(f3937,plain,
( spl14_388
| ~ spl14_83
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1929,f1865,f766,f3935]) ).
fof(f3935,plain,
( spl14_388
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_388])]) ).
fof(f1929,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl14_83
| ~ spl14_215 ),
inference(superposition,[],[f1866,f767]) ).
fof(f3933,plain,
( spl14_387
| ~ spl14_74
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1881,f1836,f722,f3931]) ).
fof(f3931,plain,
( spl14_387
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_387])]) ).
fof(f1881,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl14_74
| ~ spl14_208 ),
inference(resolution,[],[f1837,f723]) ).
fof(f3929,plain,
( spl14_386
| ~ spl14_89
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1821,f1814,f790,f3927]) ).
fof(f3927,plain,
( spl14_386
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_386])]) ).
fof(f1821,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl14_89
| ~ spl14_206 ),
inference(resolution,[],[f1815,f791]) ).
fof(f3925,plain,
( spl14_385
| ~ spl14_119
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1707,f1668,f1010,f3923]) ).
fof(f3923,plain,
( spl14_385
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_385])]) ).
fof(f1668,plain,
( spl14_198
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
fof(f1707,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl14_119
| ~ spl14_198 ),
inference(superposition,[],[f1669,f1011]) ).
fof(f1669,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl14_198 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f3921,plain,
( spl14_384
| ~ spl14_110
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1706,f1668,f938,f3919]) ).
fof(f3919,plain,
( spl14_384
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_384])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_198 ),
inference(superposition,[],[f1669,f939]) ).
fof(f3734,plain,
( spl14_383
| ~ spl14_66
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2186,f2154,f682,f3732]) ).
fof(f3732,plain,
( spl14_383
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_383])]) ).
fof(f682,plain,
( spl14_66
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f2186,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl14_66
| ~ spl14_234 ),
inference(superposition,[],[f683,f2155]) ).
fof(f683,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f3730,plain,
( spl14_382
| ~ spl14_75
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f2050,f1984,f726,f3728]) ).
fof(f3728,plain,
( spl14_382
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_382])]) ).
fof(f2050,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl14_75
| ~ spl14_226 ),
inference(resolution,[],[f1985,f727]) ).
fof(f3726,plain,
( spl14_381
| ~ spl14_50
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1888,f1836,f617,f3724]) ).
fof(f3724,plain,
( spl14_381
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_381])]) ).
fof(f617,plain,
( spl14_50
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f1888,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl14_50
| ~ spl14_208 ),
inference(resolution,[],[f1837,f618]) ).
fof(f618,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f3722,plain,
( spl14_380
| ~ spl14_74
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1818,f1814,f722,f3720]) ).
fof(f3720,plain,
( spl14_380
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_380])]) ).
fof(f1818,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl14_74
| ~ spl14_206 ),
inference(resolution,[],[f1815,f723]) ).
fof(f3718,plain,
( spl14_379
| ~ spl14_119
| ~ spl14_190 ),
inference(avatar_split_clause,[],[f1633,f1588,f1010,f3716]) ).
fof(f3716,plain,
( spl14_379
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_379])]) ).
fof(f1588,plain,
( spl14_190
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl14_119
| ~ spl14_190 ),
inference(superposition,[],[f1589,f1011]) ).
fof(f1589,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl14_190 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f3714,plain,
( spl14_378
| ~ spl14_110
| ~ spl14_190 ),
inference(avatar_split_clause,[],[f1632,f1588,f938,f3712]) ).
fof(f1632,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_190 ),
inference(superposition,[],[f1589,f939]) ).
fof(f3710,plain,
( spl14_377
| ~ spl14_159
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2367,f2322,f1317,f3708]) ).
fof(f3708,plain,
( spl14_377
<=> ! [X0,X1] :
( sK13(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK13(X0,snoc(queue(host(sK8)),X1))
| elem(sK13(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_377])]) ).
fof(f1317,plain,
( spl14_159
<=> ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
fof(f2367,plain,
( ! [X0,X1] :
( sK13(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK13(X0,snoc(queue(host(sK8)),X1))
| elem(sK13(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl14_159
| ~ spl14_246 ),
inference(resolution,[],[f2323,f1318]) ).
fof(f1318,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_159 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f3706,plain,
( spl14_376
| ~ spl14_159
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2347,f2318,f1317,f3704]) ).
fof(f3704,plain,
( spl14_376
<=> ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_376])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Ack(sK3,sK5) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl14_159
| ~ spl14_245 ),
inference(resolution,[],[f2319,f1318]) ).
fof(f3702,plain,
( spl14_375
| ~ spl14_159
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2336,f2288,f1317,f3700]) ).
fof(f3700,plain,
( spl14_375
<=> ! [X0,X1] :
( sK13(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK13(X0,cons(X1,queue(host(sK8))))
| elem(sK13(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_375])]) ).
fof(f2336,plain,
( ! [X0,X1] :
( sK13(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK13(X0,cons(X1,queue(host(sK8))))
| elem(sK13(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl14_159
| ~ spl14_242 ),
inference(resolution,[],[f2289,f1318]) ).
fof(f3698,plain,
( spl14_374
| ~ spl14_159
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2325,f2284,f1317,f3696]) ).
fof(f3696,plain,
( spl14_374
<=> ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_374])]) ).
fof(f2325,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Ack(sK3,sK5) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl14_159
| ~ spl14_241 ),
inference(resolution,[],[f2285,f1318]) ).
fof(f3686,plain,
( ~ spl14_373
| ~ spl14_132
| spl14_355 ),
inference(avatar_split_clause,[],[f3443,f3439,f1129,f3683]) ).
fof(f3683,plain,
( spl14_373
<=> elem(m_Down(sK9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_373])]) ).
fof(f3439,plain,
( spl14_355
<=> elem(m_Down(sK9),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_355])]) ).
fof(f3443,plain,
( ~ elem(m_Down(sK9),sK2)
| ~ spl14_132
| spl14_355 ),
inference(resolution,[],[f3441,f1130]) ).
fof(f3441,plain,
( ~ elem(m_Down(sK9),queue(host(sK8)))
| spl14_355 ),
inference(avatar_component_clause,[],[f3439]) ).
fof(f3673,plain,
( spl14_372
| ~ spl14_6
| ~ spl14_204 ),
inference(avatar_split_clause,[],[f1793,f1753,f363,f3671]) ).
fof(f3671,plain,
( spl14_372
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK9),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_372])]) ).
fof(f363,plain,
( spl14_6
<=> host(sK9) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1753,plain,
( spl14_204
<=> ! [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,[spl14_204])]) ).
fof(f1793,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK9),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl14_6
| ~ spl14_204 ),
inference(superposition,[],[f1754,f365]) ).
fof(f365,plain,
( host(sK9) = host(sK10)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1754,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) )
| ~ spl14_204 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f3669,plain,
( spl14_371
| ~ spl14_5
| ~ spl14_203 ),
inference(avatar_split_clause,[],[f1780,f1749,f358,f3667]) ).
fof(f3667,plain,
( spl14_371
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK10)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_371])]) ).
fof(f358,plain,
( spl14_5
<=> host(sK7) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f1749,plain,
( spl14_203
<=> ! [X2,X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),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,[spl14_203])]) ).
fof(f1780,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK10)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl14_5
| ~ spl14_203 ),
inference(superposition,[],[f1750,f360]) ).
fof(f360,plain,
( host(sK7) = host(sK8)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1750,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK10)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_203 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f3664,plain,
( spl14_370
| ~ spl14_6
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1769,f1745,f363,f3662]) ).
fof(f3662,plain,
( spl14_370
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK9),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_370])]) ).
fof(f1745,plain,
( spl14_202
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),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,[spl14_202])]) ).
fof(f1769,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK9),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl14_6
| ~ spl14_202 ),
inference(superposition,[],[f1746,f365]) ).
fof(f1746,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK8)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_202 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f3659,plain,
( spl14_369
| ~ spl14_9
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1767,f1745,f379,f3657]) ).
fof(f3657,plain,
( spl14_369
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_369])]) ).
fof(f1767,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X1) != host(sK8)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl14_9
| ~ spl14_202 ),
inference(superposition,[],[f1746,f381]) ).
fof(f3581,plain,
( ~ spl14_368
| ~ spl14_132
| spl14_353 ),
inference(avatar_split_clause,[],[f3437,f3430,f1129,f3578]) ).
fof(f3578,plain,
( spl14_368
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_368])]) ).
fof(f3430,plain,
( spl14_353
<=> elem(m_Down(sK6),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_353])]) ).
fof(f3437,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl14_132
| spl14_353 ),
inference(resolution,[],[f3432,f1130]) ).
fof(f3432,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| spl14_353 ),
inference(avatar_component_clause,[],[f3430]) ).
fof(f3500,plain,
( spl14_367
| ~ spl14_43
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1887,f1836,f583,f3498]) ).
fof(f3498,plain,
( spl14_367
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_367])]) ).
fof(f583,plain,
( spl14_43
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f1887,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl14_43
| ~ spl14_208 ),
inference(resolution,[],[f1837,f585]) ).
fof(f585,plain,
( leq(s(zero),nbr_proc)
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f3496,plain,
( spl14_366
| ~ spl14_45
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1886,f1836,f592,f3494]) ).
fof(f3494,plain,
( spl14_366
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_366])]) ).
fof(f1886,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl14_45
| ~ spl14_208 ),
inference(resolution,[],[f1837,f593]) ).
fof(f3492,plain,
( spl14_365
| ~ spl14_169
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1885,f1836,f1424,f3490]) ).
fof(f3490,plain,
( spl14_365
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_365])]) ).
fof(f1424,plain,
( spl14_169
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
fof(f1885,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl14_169
| ~ spl14_208 ),
inference(resolution,[],[f1837,f1425]) ).
fof(f1425,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl14_169 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f3488,plain,
( spl14_364
| ~ spl14_83
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1705,f1668,f766,f3486]) ).
fof(f3486,plain,
( spl14_364
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_364])]) ).
fof(f1705,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl14_83
| ~ spl14_198 ),
inference(superposition,[],[f1669,f767]) ).
fof(f3484,plain,
( spl14_363
| ~ spl14_97
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f1694,f1656,f835,f3482]) ).
fof(f3482,plain,
( spl14_363
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_363])]) ).
fof(f1694,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl14_97
| ~ spl14_195 ),
inference(resolution,[],[f1657,f836]) ).
fof(f3480,plain,
( spl14_362
| ~ spl14_191
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f1693,f1656,f1636,f3478]) ).
fof(f3478,plain,
( spl14_362
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_362])]) ).
fof(f1693,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl14_191
| ~ spl14_195 ),
inference(resolution,[],[f1657,f1637]) ).
fof(f3476,plain,
( spl14_361
| ~ spl14_74
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f1691,f1656,f722,f3474]) ).
fof(f3474,plain,
( spl14_361
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_361])]) ).
fof(f1691,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl14_74
| ~ spl14_195 ),
inference(resolution,[],[f1657,f723]) ).
fof(f3472,plain,
( spl14_360
| ~ spl14_89
| ~ spl14_184 ),
inference(avatar_split_clause,[],[f1598,f1564,f790,f3470]) ).
fof(f3470,plain,
( spl14_360
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_360])]) ).
fof(f1564,plain,
( spl14_184
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
fof(f1598,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl14_89
| ~ spl14_184 ),
inference(resolution,[],[f1565,f791]) ).
fof(f1565,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl14_184 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f3467,plain,
( ~ spl14_358
| spl14_359
| ~ spl14_10
| ~ spl14_201 ),
inference(avatar_split_clause,[],[f1732,f1729,f384,f3465,f3461]) ).
fof(f3465,plain,
( spl14_359
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_359])]) ).
fof(f1729,plain,
( spl14_201
<=> ! [X2,X0,X1] :
( host(X0) != host(sK10)
| host(X1) = host(sK10)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK10)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_201])]) ).
fof(f1732,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X0) = host(sK10)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(sK10)))
| host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_10
| ~ spl14_201 ),
inference(superposition,[],[f1730,f386]) ).
fof(f1730,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK10)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK10)))
| host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl14_201 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f3450,plain,
( spl14_356
| ~ spl14_3
| spl14_7
| spl14_357
| ~ spl14_6
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1725,f1713,f363,f3448,f368,f348,f3445]) ).
fof(f348,plain,
( spl14_3
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f368,plain,
( spl14_7
<=> host(sK8) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f1713,plain,
( spl14_200
<=> ! [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,[spl14_200])]) ).
fof(f1725,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| host(sK8) = host(sK10)
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(sK10))) )
| ~ spl14_6
| ~ spl14_200 ),
inference(superposition,[],[f1714,f365]) ).
fof(f1714,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))) )
| ~ spl14_200 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f3442,plain,
( ~ spl14_355
| spl14_354
| ~ spl14_6
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1720,f1713,f363,f3434,f3439]) ).
fof(f3434,plain,
( spl14_354
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_354])]) ).
fof(f1720,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| host(X0) = host(sK8)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK9),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_6
| ~ spl14_200 ),
inference(superposition,[],[f1714,f365]) ).
fof(f3436,plain,
( ~ spl14_353
| spl14_354
| ~ spl14_9
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1718,f1713,f379,f3434,f3430]) ).
fof(f1718,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| host(X0) = host(sK8)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_9
| ~ spl14_200 ),
inference(superposition,[],[f1714,f381]) ).
fof(f3422,plain,
( spl14_352
| spl14_338
| ~ spl14_104
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1168,f1137,f881,f3259,f3420]) ).
fof(f3420,plain,
( spl14_352
<=> ! [X2,X1] :
( ~ elem(m_Down(sK5),queue(host(X1)))
| nbr_proc = host(X1)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| host(X2) != host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_352])]) ).
fof(f3259,plain,
( spl14_338
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_338])]) ).
fof(f881,plain,
( spl14_104
<=> ! [X10,X11,X12,X9] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
fof(f1168,plain,
( ! [X2,X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(nbr_proc))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| nbr_proc = host(X1) )
| ~ spl14_104
| ~ spl14_134 ),
inference(inner_rewriting,[],[f1161]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( host(X0) != nbr_proc
| ~ 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) )
| ~ spl14_104
| ~ spl14_134 ),
inference(superposition,[],[f882,f1139]) ).
fof(f882,plain,
( ! [X10,X11,X9,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X9)))
| ~ elem(m_Down(X10),queue(host(X11)))
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
| ~ spl14_104 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f3416,plain,
( spl14_351
| ~ spl14_158
| ~ spl14_242 ),
inference(avatar_split_clause,[],[f2344,f2288,f1313,f3414]) ).
fof(f3414,plain,
( spl14_351
<=> ! [X0,X1] :
( elem(sK13(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Ack(sK3,sK5) = sK13(X1,snoc(queue(host(sK8)),X0))
| sP1(X1,snoc(queue(host(sK8)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_351])]) ).
fof(f1313,plain,
( spl14_158
<=> ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
fof(f2344,plain,
( ! [X0,X1] :
( elem(sK13(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Ack(sK3,sK5) = sK13(X1,snoc(queue(host(sK8)),X0))
| sP1(X1,snoc(queue(host(sK8)),X0)) )
| ~ spl14_158
| ~ spl14_242 ),
inference(superposition,[],[f2289,f1314]) ).
fof(f1314,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl14_158 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f3412,plain,
( spl14_350
| ~ spl14_158
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2333,f2284,f1313,f3410]) ).
fof(f3410,plain,
( spl14_350
<=> ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Ack(sK3,sK5) = sK12(X1,snoc(queue(host(sK8)),X0))
| sP0(X1,snoc(queue(host(sK8)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_350])]) ).
fof(f2333,plain,
( ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Ack(sK3,sK5) = sK12(X1,snoc(queue(host(sK8)),X0))
| sP0(X1,snoc(queue(host(sK8)),X0)) )
| ~ spl14_158
| ~ spl14_241 ),
inference(superposition,[],[f2285,f1314]) ).
fof(f3327,plain,
( ~ spl14_349
| ~ spl14_132
| spl14_337 ),
inference(avatar_split_clause,[],[f3262,f3255,f1129,f3324]) ).
fof(f3324,plain,
( spl14_349
<=> elem(m_Down(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_349])]) ).
fof(f3255,plain,
( spl14_337
<=> elem(m_Down(sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_337])]) ).
fof(f3262,plain,
( ~ elem(m_Down(sK5),sK2)
| ~ spl14_132
| spl14_337 ),
inference(resolution,[],[f3257,f1130]) ).
fof(f3257,plain,
( ~ elem(m_Down(sK5),queue(host(sK8)))
| spl14_337 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3303,plain,
( spl14_348
| ~ spl14_89
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f1688,f1656,f790,f3301]) ).
fof(f3301,plain,
( spl14_348
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_348])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl14_89
| ~ spl14_195 ),
inference(resolution,[],[f1657,f791]) ).
fof(f3299,plain,
( spl14_347
| ~ spl14_187
| ~ spl14_191 ),
inference(avatar_split_clause,[],[f1676,f1636,f1576,f3297]) ).
fof(f3297,plain,
( spl14_347
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_347])]) ).
fof(f1676,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl14_187
| ~ spl14_191 ),
inference(resolution,[],[f1637,f1577]) ).
fof(f3295,plain,
( spl14_346
| ~ spl14_83
| ~ spl14_190 ),
inference(avatar_split_clause,[],[f1631,f1588,f766,f3293]) ).
fof(f3293,plain,
( spl14_346
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_346])]) ).
fof(f1631,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl14_83
| ~ spl14_190 ),
inference(superposition,[],[f1589,f767]) ).
fof(f3291,plain,
( spl14_345
| ~ spl14_97
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1617,f1576,f835,f3289]) ).
fof(f3289,plain,
( spl14_345
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_345])]) ).
fof(f1617,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl14_97
| ~ spl14_187 ),
inference(resolution,[],[f1577,f836]) ).
fof(f3287,plain,
( spl14_344
| ~ spl14_74
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1615,f1576,f722,f3285]) ).
fof(f3285,plain,
( spl14_344
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_344])]) ).
fof(f1615,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl14_74
| ~ spl14_187 ),
inference(resolution,[],[f1577,f723]) ).
fof(f3283,plain,
( spl14_343
| ~ spl14_74
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1603,f1572,f722,f3281]) ).
fof(f3281,plain,
( spl14_343
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_343])]) ).
fof(f1603,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl14_74
| ~ spl14_186 ),
inference(resolution,[],[f1573,f723]) ).
fof(f3279,plain,
( spl14_342
| ~ spl14_74
| ~ spl14_184 ),
inference(avatar_split_clause,[],[f1595,f1564,f722,f3277]) ).
fof(f1595,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl14_74
| ~ spl14_184 ),
inference(resolution,[],[f1565,f723]) ).
fof(f3275,plain,
( spl14_340
| ~ spl14_341
| spl14_139
| spl14_338
| ~ spl14_134
| ~ spl14_201 ),
inference(avatar_split_clause,[],[f1743,f1729,f1137,f3259,f1198,f3272,f3269]) ).
fof(f3269,plain,
( spl14_340
<=> ! [X1] :
( host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_340])]) ).
fof(f3272,plain,
( spl14_341
<=> elem(m_Down(sK5),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_341])]) ).
fof(f1198,plain,
( spl14_139
<=> nbr_proc = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| nbr_proc = host(sK10)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(sK10)))
| host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(nbr_proc)) )
| ~ spl14_134
| ~ spl14_201 ),
inference(inner_rewriting,[],[f1733]) ).
fof(f1733,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| host(X0) = host(sK10)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(sK10)))
| host(X1) != host(sK10)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_134
| ~ spl14_201 ),
inference(superposition,[],[f1730,f1139]) ).
fof(f3267,plain,
( ~ spl14_339
| ~ spl14_37
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2699,f2667,f535,f3264]) ).
fof(f3264,plain,
( spl14_339
<=> elem(m_Halt(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_339])]) ).
fof(f2699,plain,
( ~ elem(m_Halt(sK8),sK2)
| ~ spl14_37
| ~ spl14_286 ),
inference(resolution,[],[f2668,f536]) ).
fof(f3261,plain,
( spl14_336
| ~ spl14_337
| spl14_288
| spl14_338
| ~ spl14_134
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1727,f1713,f1137,f3259,f2678,f3255,f3252]) ).
fof(f3252,plain,
( spl14_336
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_336])]) ).
fof(f2678,plain,
( spl14_288
<=> nbr_proc = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_288])]) ).
fof(f1727,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| nbr_proc = host(sK8)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(nbr_proc)) )
| ~ spl14_134
| ~ spl14_200 ),
inference(inner_rewriting,[],[f1717]) ).
fof(f1717,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| host(X0) = host(sK8)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(sK8)))
| host(X1) != host(sK8)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl14_134
| ~ spl14_200 ),
inference(superposition,[],[f1714,f1139]) ).
fof(f3236,plain,
( spl14_335
| ~ spl14_89
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1612,f1576,f790,f3234]) ).
fof(f3234,plain,
( spl14_335
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_335])]) ).
fof(f1612,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl14_89
| ~ spl14_187 ),
inference(resolution,[],[f1577,f791]) ).
fof(f3232,plain,
( spl14_334
| ~ spl14_89
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1540,f1533,f790,f3230]) ).
fof(f3230,plain,
( spl14_334
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_334])]) ).
fof(f1540,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl14_89
| ~ spl14_179 ),
inference(resolution,[],[f1534,f791]) ).
fof(f3228,plain,
( spl14_333
| ~ spl14_100
| ~ spl14_159 ),
inference(avatar_split_clause,[],[f1333,f1317,f847,f3226]) ).
fof(f3226,plain,
( spl14_333
<=> ! [X0] :
( m_Ack(sK3,sK5) = sK13(X0,queue(host(sK8)))
| elem(sK13(X0,queue(host(sK8))),sK2)
| sP1(X0,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_333])]) ).
fof(f1333,plain,
( ! [X0] :
( m_Ack(sK3,sK5) = sK13(X0,queue(host(sK8)))
| elem(sK13(X0,queue(host(sK8))),sK2)
| sP1(X0,queue(host(sK8))) )
| ~ spl14_100
| ~ spl14_159 ),
inference(resolution,[],[f1318,f848]) ).
fof(f3224,plain,
( spl14_332
| ~ spl14_99
| ~ spl14_159 ),
inference(avatar_split_clause,[],[f1332,f1317,f843,f3222]) ).
fof(f3222,plain,
( spl14_332
<=> ! [X0] :
( m_Ack(sK3,sK5) = sK12(X0,queue(host(sK8)))
| elem(sK12(X0,queue(host(sK8))),sK2)
| sP0(X0,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_332])]) ).
fof(f1332,plain,
( ! [X0] :
( m_Ack(sK3,sK5) = sK12(X0,queue(host(sK8)))
| elem(sK12(X0,queue(host(sK8))),sK2)
| sP0(X0,queue(host(sK8))) )
| ~ spl14_99
| ~ spl14_159 ),
inference(resolution,[],[f1318,f844]) ).
fof(f3206,plain,
( spl14_331
| ~ spl14_74
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1537,f1533,f722,f3204]) ).
fof(f3204,plain,
( spl14_331
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_331])]) ).
fof(f1537,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl14_74
| ~ spl14_179 ),
inference(resolution,[],[f1534,f723]) ).
fof(f3202,plain,
( spl14_329
| spl14_330
| spl14_73
| ~ spl14_159
| ~ spl14_189 ),
inference(avatar_split_clause,[],[f1624,f1584,f1317,f717,f3199,f3195]) ).
fof(f3195,plain,
( spl14_329
<=> elem(last(queue(host(sK8))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_329])]) ).
fof(f3199,plain,
( spl14_330
<=> m_Ack(sK3,sK5) = last(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_330])]) ).
fof(f717,plain,
( spl14_73
<=> q_nil = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f1624,plain,
( q_nil = queue(host(sK8))
| m_Ack(sK3,sK5) = last(queue(host(sK8)))
| elem(last(queue(host(sK8))),sK2)
| ~ spl14_159
| ~ spl14_189 ),
inference(resolution,[],[f1585,f1318]) ).
fof(f3176,plain,
( spl14_328
| ~ spl14_18
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2232,f2170,f426,f3174]) ).
fof(f3174,plain,
( spl14_328
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK11(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_328])]) ).
fof(f426,plain,
( spl14_18
<=> ! [X25,X24] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f2232,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK11(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_18
| ~ spl14_238 ),
inference(superposition,[],[f427,f2171]) ).
fof(f427,plain,
( ! [X24,X25] :
( ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X25,alive) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f3172,plain,
( spl14_327
| ~ spl14_18
| ~ spl14_237 ),
inference(avatar_split_clause,[],[f2216,f2166,f426,f3170]) ).
fof(f3170,plain,
( spl14_327
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK11(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_327])]) ).
fof(f2216,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK11(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_18
| ~ spl14_237 ),
inference(superposition,[],[f427,f2167]) ).
fof(f3154,plain,
( spl14_273
| ~ spl14_243
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2514,f2502,f2292,f2586]) ).
fof(f2586,plain,
( spl14_273
<=> leq(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_273])]) ).
fof(f2292,plain,
( spl14_243
<=> leq(sK8,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_243])]) ).
fof(f2514,plain,
( leq(sK8,sK7)
| ~ spl14_243
| ~ spl14_263 ),
inference(superposition,[],[f2294,f2504]) ).
fof(f2294,plain,
( leq(sK8,sK4)
| ~ spl14_243 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f3118,plain,
( spl14_326
| ~ spl14_120
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1329,f1313,f1014,f3116]) ).
fof(f3116,plain,
( spl14_326
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK8)),X0))
| m_Ack(sK3,sK5) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_326])]) ).
fof(f1329,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK8)),X0))
| m_Ack(sK3,sK5) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl14_120
| ~ spl14_158 ),
inference(superposition,[],[f1015,f1314]) ).
fof(f3114,plain,
( spl14_325
| ~ spl14_119
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1328,f1313,f1010,f3112]) ).
fof(f3112,plain,
( spl14_325
<=> ! [X0,X1] : cons(m_Ack(sK3,sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK8)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_325])]) ).
fof(f1328,plain,
( ! [X0,X1] : cons(m_Ack(sK3,sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK8)),X0),X1)
| ~ spl14_119
| ~ spl14_158 ),
inference(superposition,[],[f1011,f1314]) ).
fof(f3110,plain,
( spl14_324
| ~ spl14_105
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1327,f1313,f894,f3108]) ).
fof(f3108,plain,
( spl14_324
<=> ! [X0] :
( ordered(snoc(queue(host(sK8)),X0))
| ~ sP0(m_Ack(sK3,sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_324])]) ).
fof(f1327,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK8)),X0))
| ~ sP0(m_Ack(sK3,sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl14_105
| ~ spl14_158 ),
inference(superposition,[],[f895,f1314]) ).
fof(f3096,plain,
( spl14_323
| ~ spl14_50
| ~ spl14_184 ),
inference(avatar_split_clause,[],[f1592,f1564,f617,f3094]) ).
fof(f3094,plain,
( spl14_323
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_323])]) ).
fof(f1592,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl14_50
| ~ spl14_184 ),
inference(resolution,[],[f1565,f618]) ).
fof(f3080,plain,
( spl14_322
| ~ spl14_126
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1166,f1137,f1078,f3078]) ).
fof(f3078,plain,
( spl14_322
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_322])]) ).
fof(f1078,plain,
( spl14_126
<=> ! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
fof(f1166,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) )
| ~ spl14_126
| ~ spl14_134 ),
inference(superposition,[],[f1079,f1139]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl14_126 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f3072,plain,
( spl14_321
| ~ spl14_126
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1165,f1137,f1078,f3070]) ).
fof(f3070,plain,
( spl14_321
<=> ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_321])]) ).
fof(f1165,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_126
| ~ spl14_134 ),
inference(superposition,[],[f1079,f1139]) ).
fof(f3064,plain,
( spl14_320
| ~ spl14_35
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2233,f2170,f527,f3062]) ).
fof(f3062,plain,
( spl14_320
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK11(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_320])]) ).
fof(f527,plain,
( spl14_35
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f2233,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK11(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK11(m_Down(X0))) )
| ~ spl14_35
| ~ spl14_238 ),
inference(superposition,[],[f528,f2171]) ).
fof(f528,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f3060,plain,
( spl14_319
| ~ spl14_35
| ~ spl14_237 ),
inference(avatar_split_clause,[],[f2217,f2166,f527,f3058]) ).
fof(f3058,plain,
( spl14_319
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK11(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_319])]) ).
fof(f2217,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK11(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK11(m_Halt(X0))) )
| ~ spl14_35
| ~ spl14_237 ),
inference(superposition,[],[f528,f2167]) ).
fof(f3056,plain,
( spl14_318
| ~ spl14_86
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1325,f1313,f778,f3054]) ).
fof(f3054,plain,
( spl14_318
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| sP0(m_Ack(sK3,sK5),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_318])]) ).
fof(f1325,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| sP0(m_Ack(sK3,sK5),snoc(sK2,X0)) )
| ~ spl14_86
| ~ spl14_158 ),
inference(superposition,[],[f779,f1314]) ).
fof(f3046,plain,
( ~ spl14_315
| spl14_317
| ~ spl14_40
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1155,f1137,f551,f3044,f3036]) ).
fof(f3036,plain,
( spl14_315
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_315])]) ).
fof(f3044,plain,
( spl14_317
<=> ! [X0] :
( host(X0) != nbr_proc
| setIn(X0,alive)
| ~ leq(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_317])]) ).
fof(f551,plain,
( spl14_40
<=> ! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f1155,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK5,alive)
| ~ leq(sK5,X0)
| setIn(X0,alive) )
| ~ spl14_40
| ~ spl14_134 ),
inference(superposition,[],[f552,f1139]) ).
fof(f552,plain,
( ! [X16,X15] :
( host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ leq(X16,X15)
| setIn(X15,alive) )
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f3042,plain,
( spl14_315
| spl14_316
| ~ spl14_40
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1154,f1137,f551,f3040,f3036]) ).
fof(f3040,plain,
( spl14_316
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ leq(X0,sK5)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_316])]) ).
fof(f1154,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ leq(X0,sK5)
| setIn(sK5,alive) )
| ~ spl14_40
| ~ spl14_134 ),
inference(superposition,[],[f552,f1139]) ).
fof(f3028,plain,
( ~ spl14_314
| ~ spl14_89
| spl14_193 ),
inference(avatar_split_clause,[],[f1652,f1644,f790,f3025]) ).
fof(f3025,plain,
( spl14_314
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_314])]) ).
fof(f1644,plain,
( spl14_193
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
fof(f1652,plain,
( ~ leq(nbr_proc,zero)
| ~ spl14_89
| spl14_193 ),
inference(resolution,[],[f1646,f791]) ).
fof(f1646,plain,
( ~ leq(nbr_proc,s(zero))
| spl14_193 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f3023,plain,
( spl14_313
| ~ spl14_43
| ~ spl14_184 ),
inference(avatar_split_clause,[],[f1591,f1564,f583,f3020]) ).
fof(f3020,plain,
( spl14_313
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_313])]) ).
fof(f1591,plain,
( leq(zero,nbr_proc)
| ~ spl14_43
| ~ spl14_184 ),
inference(resolution,[],[f1565,f585]) ).
fof(f3012,plain,
( spl14_262
| spl14_312
| ~ spl14_177 ),
inference(avatar_split_clause,[],[f1529,f1460,f3010,f2495]) ).
fof(f2495,plain,
( spl14_262
<=> leq(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_262])]) ).
fof(f3010,plain,
( spl14_312
<=> ! [X0] :
( ~ elem(m_Down(sK10),X0)
| ~ ordered(cons(m_Halt(sK9),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_312])]) ).
fof(f1460,plain,
( spl14_177
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK9,X0)
| ~ ordered(cons(m_Halt(sK9),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
fof(f1529,plain,
( ! [X0] :
( ~ elem(m_Down(sK10),X0)
| leq(sK9,sK10)
| ~ ordered(cons(m_Halt(sK9),X0)) )
| ~ spl14_177 ),
inference(equality_resolution,[],[f1461]) ).
fof(f1461,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK9,X0)
| ~ ordered(cons(m_Halt(sK9),X1)) )
| ~ spl14_177 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f3004,plain,
( spl14_259
| spl14_311
| ~ spl14_171 ),
inference(avatar_split_clause,[],[f1476,f1436,f3002,f2470]) ).
fof(f3002,plain,
( spl14_311
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_311])]) ).
fof(f1436,plain,
( spl14_171
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
fof(f1476,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK10,sK6)
| ~ ordered(cons(m_Halt(sK10),X0)) )
| ~ spl14_171 ),
inference(equality_resolution,[],[f1437]) ).
fof(f1437,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_171 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f2996,plain,
( spl14_271
| spl14_310
| ~ spl14_175 ),
inference(avatar_split_clause,[],[f1513,f1452,f2994,f2570]) ).
fof(f2994,plain,
( spl14_310
<=> ! [X0] :
( ~ elem(m_Down(sK10),X0)
| ~ ordered(cons(m_Halt(sK6),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_310])]) ).
fof(f1452,plain,
( spl14_175
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
fof(f1513,plain,
( ! [X0] :
( ~ elem(m_Down(sK10),X0)
| leq(sK6,sK10)
| ~ ordered(cons(m_Halt(sK6),X0)) )
| ~ spl14_175 ),
inference(equality_resolution,[],[f1453]) ).
fof(f1453,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl14_175 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f2987,plain,
~ spl14_306,
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2986,plain,
( $false
| ~ spl14_306 ),
inference(equality_resolution,[],[f2913]) ).
fof(f2913,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK7)
| ~ spl14_306 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f2912,plain,
( spl14_306
<=> ! [X0] : m_Ldr(X0) != m_Ldr(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_306])]) ).
fof(f2980,plain,
( spl14_309
| ~ spl14_48
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2892,f2607,f608,f2977]) ).
fof(f2977,plain,
( spl14_309
<=> sK8 = pidMsg(m_Ldr(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_309])]) ).
fof(f2607,plain,
( spl14_274
<=> m_Down(sK8) = m_Ldr(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_274])]) ).
fof(f2892,plain,
( sK8 = pidMsg(m_Ldr(sK7))
| ~ spl14_48
| ~ spl14_274 ),
inference(superposition,[],[f609,f2609]) ).
fof(f2609,plain,
( m_Down(sK8) = m_Ldr(sK7)
| ~ spl14_274 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f2932,plain,
( spl14_308
| ~ spl14_263
| ~ spl14_305 ),
inference(avatar_split_clause,[],[f2925,f2861,f2502,f2930]) ).
fof(f2930,plain,
( spl14_308
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK7),X0))
| ~ elem(m_Down(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_308])]) ).
fof(f2861,plain,
( spl14_305
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_305])]) ).
fof(f2925,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK7),X0))
| ~ elem(m_Down(sK8),X0) )
| ~ spl14_263
| ~ spl14_305 ),
inference(forward_demodulation,[],[f2862,f2504]) ).
fof(f2862,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_305 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f2924,plain,
( spl14_307
| ~ spl14_153
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2919,f2607,f1258,f2921]) ).
fof(f2919,plain,
( elem(m_Ldr(sK7),queue(host(sK10)))
| ~ spl14_153
| ~ spl14_274 ),
inference(forward_demodulation,[],[f1260,f2609]) ).
fof(f1260,plain,
( elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_153 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f2914,plain,
( spl14_306
| ~ spl14_61
| ~ spl14_154
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2598,f2502,f1262,f662,f2912]) ).
fof(f662,plain,
( spl14_61
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f1262,plain,
( spl14_154
<=> m_Ldr(sK4) = m_Down(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
fof(f2598,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK7)
| ~ spl14_61
| ~ spl14_154
| ~ spl14_263 ),
inference(forward_demodulation,[],[f2306,f2504]) ).
fof(f2306,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK4)
| ~ spl14_61
| ~ spl14_154 ),
inference(superposition,[],[f663,f1264]) ).
fof(f1264,plain,
( m_Ldr(sK4) = m_Down(sK8)
| ~ spl14_154 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f663,plain,
( ! [X0,X1] : m_Down(X0) != m_Ldr(X1)
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f2906,plain,
( spl14_261
| ~ spl14_232
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2872,f2502,f2106,f2484]) ).
fof(f2484,plain,
( spl14_261
<=> leq(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_261])]) ).
fof(f2106,plain,
( spl14_232
<=> leq(sK4,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_232])]) ).
fof(f2872,plain,
( leq(sK7,sK8)
| ~ spl14_232
| ~ spl14_263 ),
inference(forward_demodulation,[],[f2107,f2504]) ).
fof(f2107,plain,
( leq(sK4,sK8)
| ~ spl14_232 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2863,plain,
( spl14_232
| spl14_305
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f1505,f1448,f2861,f2106]) ).
fof(f1448,plain,
( spl14_174
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
fof(f1505,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK4,sK8)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_174 ),
inference(equality_resolution,[],[f1449]) ).
fof(f1449,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl14_174 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f2858,plain,
( spl14_303
| spl14_304
| ~ spl14_10
| ~ spl14_172 ),
inference(avatar_split_clause,[],[f1486,f1440,f384,f2856,f2852]) ).
fof(f2852,plain,
( spl14_303
<=> leq(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_303])]) ).
fof(f2856,plain,
( spl14_304
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_304])]) ).
fof(f1440,plain,
( spl14_172
<=> ! [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,[spl14_172])]) ).
fof(f1486,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK4,sK7)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_10
| ~ spl14_172 ),
inference(trivial_inequality_removal,[],[f1479]) ).
fof(f1479,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK7),X0)
| leq(sK4,sK7)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl14_10
| ~ spl14_172 ),
inference(superposition,[],[f1441,f386]) ).
fof(f1441,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_172 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f2845,plain,
( ~ spl14_3
| spl14_302
| ~ spl14_6
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2825,f2554,f363,f2827,f348]) ).
fof(f2827,plain,
( spl14_302
<=> sK6 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_302])]) ).
fof(f2554,plain,
( spl14_270
<=> ! [X0] :
( host(X0) != host(sK10)
| sK6 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_270])]) ).
fof(f2825,plain,
( sK6 = sK9
| ~ setIn(sK9,alive)
| ~ spl14_6
| ~ spl14_270 ),
inference(trivial_inequality_removal,[],[f2823]) ).
fof(f2823,plain,
( host(sK10) != host(sK10)
| sK6 = sK9
| ~ setIn(sK9,alive)
| ~ spl14_6
| ~ spl14_270 ),
inference(superposition,[],[f2555,f365]) ).
fof(f2555,plain,
( ! [X0] :
( host(X0) != host(sK10)
| sK6 = X0
| ~ setIn(X0,alive) )
| ~ spl14_270 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2830,plain,
( ~ spl14_160
| spl14_302
| ~ spl14_9
| ~ spl14_168 ),
inference(avatar_split_clause,[],[f1422,f1413,f379,f2827,f1335]) ).
fof(f1335,plain,
( spl14_160
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
fof(f1413,plain,
( spl14_168
<=> ! [X0] :
( host(X0) != host(sK10)
| sK9 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_168])]) ).
fof(f1422,plain,
( sK6 = sK9
| ~ setIn(sK6,alive)
| ~ spl14_9
| ~ spl14_168 ),
inference(trivial_inequality_removal,[],[f1418]) ).
fof(f1418,plain,
( host(sK10) != host(sK10)
| sK6 = sK9
| ~ setIn(sK6,alive)
| ~ spl14_9
| ~ spl14_168 ),
inference(superposition,[],[f1414,f381]) ).
fof(f1414,plain,
( ! [X0] :
( host(X0) != host(sK10)
| sK9 = X0
| ~ setIn(X0,alive) )
| ~ spl14_168 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f2804,plain,
( spl14_260
| spl14_301
| ~ spl14_6
| ~ spl14_171 ),
inference(avatar_split_clause,[],[f1477,f1436,f363,f2802,f2477]) ).
fof(f2477,plain,
( spl14_260
<=> leq(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_260])]) ).
fof(f2802,plain,
( spl14_301
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK9),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_301])]) ).
fof(f1477,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK9,sK6)
| ~ ordered(cons(m_Halt(sK9),X0)) )
| ~ spl14_6
| ~ spl14_171 ),
inference(trivial_inequality_removal,[],[f1475]) ).
fof(f1475,plain,
( ! [X0] :
( host(sK10) != host(sK10)
| ~ elem(m_Down(sK6),X0)
| leq(sK9,sK6)
| ~ ordered(cons(m_Halt(sK9),X0)) )
| ~ spl14_6
| ~ spl14_171 ),
inference(superposition,[],[f1437,f365]) ).
fof(f2799,plain,
( spl14_299
| spl14_300
| ~ spl14_5
| ~ spl14_170 ),
inference(avatar_split_clause,[],[f1469,f1432,f358,f2797,f2793]) ).
fof(f2793,plain,
( spl14_299
<=> leq(sK7,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_299])]) ).
fof(f2797,plain,
( spl14_300
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_300])]) ).
fof(f1432,plain,
( spl14_170
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f1469,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK7,sK4)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl14_5
| ~ spl14_170 ),
inference(trivial_inequality_removal,[],[f1466]) ).
fof(f1466,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK4),X0)
| leq(sK7,sK4)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl14_5
| ~ spl14_170 ),
inference(superposition,[],[f1433,f360]) ).
fof(f1433,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_170 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f2791,plain,
( spl14_298
| ~ spl14_102
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1326,f1313,f855,f2789]) ).
fof(f2789,plain,
( spl14_298
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK8)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_298])]) ).
fof(f1326,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK8)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl14_102
| ~ spl14_158 ),
inference(superposition,[],[f856,f1314]) ).
fof(f2787,plain,
( spl14_297
| ~ spl14_24
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1152,f1137,f471,f2785]) ).
fof(f2785,plain,
( spl14_297
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_297])]) ).
fof(f471,plain,
( spl14_24
<=> ! [X18,X17,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f1152,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(nbr_proc))
| ~ leq(host(X1),host(X0)) )
| ~ spl14_24
| ~ spl14_134 ),
inference(superposition,[],[f472,f1139]) ).
fof(f472,plain,
( ! [X18,X19,X17] :
( ~ elem(m_Ack(X19,X17),queue(host(X18)))
| ~ leq(host(X17),host(X19)) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f2781,plain,
( spl14_296
| ~ spl14_107
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1117,f1111,f902,f2779]) ).
fof(f2779,plain,
( spl14_296
<=> ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK5) = X0
| ~ leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_296])]) ).
fof(f1117,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK5) = X0
| ~ leq(host(sK5),X0) )
| ~ spl14_107
| ~ spl14_129 ),
inference(resolution,[],[f1112,f903]) ).
fof(f2732,plain,
( spl14_295
| ~ spl14_75
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1324,f1313,f726,f2730]) ).
fof(f2730,plain,
( spl14_295
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_295])]) ).
fof(f1324,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl14_75
| ~ spl14_158 ),
inference(superposition,[],[f727,f1314]) ).
fof(f2728,plain,
( spl14_294
| ~ spl14_70
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1323,f1313,f705,f2726]) ).
fof(f2726,plain,
( spl14_294
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_294])]) ).
fof(f1323,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK8)),X0))
| ~ spl14_70
| ~ spl14_158 ),
inference(superposition,[],[f706,f1314]) ).
fof(f2724,plain,
( spl14_293
| ~ spl14_69
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1322,f1313,f701,f2722]) ).
fof(f2722,plain,
( spl14_293
<=> ! [X0] : m_Ack(sK3,sK5) = head(snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_293])]) ).
fof(f1322,plain,
( ! [X0] : m_Ack(sK3,sK5) = head(snoc(queue(host(sK8)),X0))
| ~ spl14_69
| ~ spl14_158 ),
inference(superposition,[],[f702,f1314]) ).
fof(f2720,plain,
( spl14_292
| ~ spl14_24
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1180,f1129,f471,f2718]) ).
fof(f1180,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl14_24
| ~ spl14_132 ),
inference(resolution,[],[f1130,f472]) ).
fof(f2715,plain,
( spl14_291
| ~ spl14_108
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1116,f1111,f906,f2713]) ).
fof(f2713,plain,
( spl14_291
<=> ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK5))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_291])]) ).
fof(f1116,plain,
( ! [X0,X1] :
( ~ leq(X0,nbr_proc)
| leq(X1,host(sK5))
| ~ leq(X1,X0) )
| ~ spl14_108
| ~ spl14_129 ),
inference(resolution,[],[f1112,f907]) ).
fof(f2708,plain,
( ~ spl14_258
| ~ spl14_4
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2521,f2518,f353,f2466]) ).
fof(f2466,plain,
( spl14_258
<=> setIn(sK10,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_258])]) ).
fof(f2518,plain,
( spl14_264
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_264])]) ).
fof(f2521,plain,
( ~ setIn(sK10,alive)
| ~ spl14_4
| ~ spl14_264 ),
inference(resolution,[],[f2519,f355]) ).
fof(f355,plain,
( elem(m_Down(sK10),sK2)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2519,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl14_264 ),
inference(avatar_component_clause,[],[f2518]) ).
fof(f2691,plain,
( spl14_290
| ~ spl14_66
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1321,f1313,f682,f2689]) ).
fof(f2689,plain,
( spl14_290
<=> ! [X0] : elem(m_Ack(sK3,sK5),snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
fof(f1321,plain,
( ! [X0] : elem(m_Ack(sK3,sK5),snoc(queue(host(sK8)),X0))
| ~ spl14_66
| ~ spl14_158 ),
inference(superposition,[],[f683,f1314]) ).
fof(f2687,plain,
( ~ spl14_289
| ~ spl14_263
| spl14_287 ),
inference(avatar_split_clause,[],[f2682,f2674,f2502,f2684]) ).
fof(f2684,plain,
( spl14_289
<=> elem(m_Down(sK7),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_289])]) ).
fof(f2674,plain,
( spl14_287
<=> elem(m_Down(sK4),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_287])]) ).
fof(f2682,plain,
( ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ spl14_263
| spl14_287 ),
inference(forward_demodulation,[],[f2676,f2504]) ).
fof(f2676,plain,
( ~ elem(m_Down(sK4),queue(nbr_proc))
| spl14_287 ),
inference(avatar_component_clause,[],[f2674]) ).
fof(f2681,plain,
( ~ spl14_287
| ~ spl14_288
| ~ spl14_134
| ~ spl14_149 ),
inference(avatar_split_clause,[],[f1268,f1242,f1137,f2678,f2674]) ).
fof(f1242,plain,
( spl14_149
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f1268,plain,
( nbr_proc != host(sK8)
| ~ elem(m_Down(sK4),queue(nbr_proc))
| ~ spl14_134
| ~ spl14_149 ),
inference(superposition,[],[f1243,f1139]) ).
fof(f1243,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl14_149 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f2670,plain,
( ~ spl14_261
| spl14_232
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2513,f2502,f2106,f2484]) ).
fof(f2513,plain,
( ~ leq(sK7,sK8)
| spl14_232
| ~ spl14_263 ),
inference(superposition,[],[f2108,f2504]) ).
fof(f2108,plain,
( ~ leq(sK4,sK8)
| spl14_232 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2669,plain,
( spl14_286
| ~ spl14_23
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1179,f1129,f454,f2667]) ).
fof(f454,plain,
( spl14_23
<=> ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f1179,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK8),host(X0)) )
| ~ spl14_23
| ~ spl14_132 ),
inference(resolution,[],[f1130,f455]) ).
fof(f455,plain,
( ! [X21,X20] :
( ~ elem(m_Halt(X21),queue(host(X20)))
| ~ leq(host(X20),host(X21)) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f2665,plain,
( spl14_285
| ~ spl14_112
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1163,f1137,f946,f2663]) ).
fof(f2663,plain,
( spl14_285
<=> ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(nbr_proc))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_285])]) ).
fof(f946,plain,
( spl14_112
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
fof(f1163,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(nbr_proc))
| setIn(X0,pids) )
| ~ spl14_112
| ~ spl14_134 ),
inference(superposition,[],[f947,f1139]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f2661,plain,
( spl14_283
| spl14_284
| ~ spl14_111
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1162,f1137,f942,f2659,f2655]) ).
fof(f2655,plain,
( spl14_283
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_283])]) ).
fof(f2659,plain,
( spl14_284
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_284])]) ).
fof(f942,plain,
( spl14_111
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
fof(f1162,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(nbr_proc))
| setIn(sK5,pids) )
| ~ spl14_111
| ~ spl14_134 ),
inference(superposition,[],[f943,f1139]) ).
fof(f943,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f2653,plain,
( spl14_282
| ~ spl14_23
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1151,f1137,f454,f2651]) ).
fof(f2651,plain,
( spl14_282
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_282])]) ).
fof(f1151,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) )
| ~ spl14_23
| ~ spl14_134 ),
inference(superposition,[],[f455,f1139]) ).
fof(f2649,plain,
( spl14_281
| ~ spl14_22
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1150,f1137,f450,f2647]) ).
fof(f2647,plain,
( spl14_281
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_281])]) ).
fof(f450,plain,
( spl14_22
<=> ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f1150,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(nbr_proc)) )
| ~ spl14_22
| ~ spl14_134 ),
inference(superposition,[],[f451,f1139]) ).
fof(f451,plain,
( ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f2641,plain,
( spl14_280
| ~ spl14_74
| spl14_262 ),
inference(avatar_split_clause,[],[f2499,f2495,f722,f2638]) ).
fof(f2638,plain,
( spl14_280
<=> leq(sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_280])]) ).
fof(f2499,plain,
( leq(sK10,sK9)
| ~ spl14_74
| spl14_262 ),
inference(resolution,[],[f2497,f723]) ).
fof(f2497,plain,
( ~ leq(sK9,sK10)
| spl14_262 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2634,plain,
( spl14_279
| ~ spl14_132
| ~ spl14_146 ),
inference(avatar_split_clause,[],[f1240,f1227,f1129,f2632]) ).
fof(f2632,plain,
( spl14_279
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_279])]) ).
fof(f1227,plain,
( spl14_146
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
fof(f1240,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) )
| ~ spl14_132
| ~ spl14_146 ),
inference(resolution,[],[f1228,f1130]) ).
fof(f1228,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_146 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f2629,plain,
( spl14_278
| ~ spl14_132
| ~ spl14_144 ),
inference(avatar_split_clause,[],[f1234,f1219,f1129,f2627]) ).
fof(f2627,plain,
( spl14_278
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_278])]) ).
fof(f1219,plain,
( spl14_144
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f1234,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) )
| ~ spl14_132
| ~ spl14_144 ),
inference(resolution,[],[f1220,f1130]) ).
fof(f1220,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_144 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f2625,plain,
( spl14_276
| spl14_277
| ~ spl14_111
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1177,f1129,f942,f2623,f2619]) ).
fof(f2619,plain,
( spl14_276
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_276])]) ).
fof(f2623,plain,
( spl14_277
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_277])]) ).
fof(f1177,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(sK8,pids) )
| ~ spl14_111
| ~ spl14_132 ),
inference(resolution,[],[f1130,f943]) ).
fof(f2616,plain,
( spl14_275
| ~ spl14_257
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2591,f2502,f2458,f2613]) ).
fof(f2613,plain,
( spl14_275
<=> pidElem(m_Ldr(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_275])]) ).
fof(f2458,plain,
( spl14_257
<=> pidElem(m_Ldr(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_257])]) ).
fof(f2591,plain,
( pidElem(m_Ldr(sK7))
| ~ spl14_257
| ~ spl14_263 ),
inference(forward_demodulation,[],[f2460,f2504]) ).
fof(f2460,plain,
( pidElem(m_Ldr(sK4))
| ~ spl14_257 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2610,plain,
( spl14_274
| ~ spl14_154
| ~ spl14_263 ),
inference(avatar_split_clause,[],[f2604,f2502,f1262,f2607]) ).
fof(f2604,plain,
( m_Down(sK8) = m_Ldr(sK7)
| ~ spl14_154
| ~ spl14_263 ),
inference(forward_demodulation,[],[f1264,f2504]) ).
fof(f2589,plain,
( spl14_273
| ~ spl14_74
| spl14_261 ),
inference(avatar_split_clause,[],[f2488,f2484,f722,f2586]) ).
fof(f2488,plain,
( leq(sK8,sK7)
| ~ spl14_74
| spl14_261 ),
inference(resolution,[],[f2486,f723]) ).
fof(f2486,plain,
( ~ leq(sK7,sK8)
| spl14_261 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2584,plain,
( ~ spl14_37
| spl14_272 ),
inference(avatar_contradiction_clause,[],[f2581]) ).
fof(f2581,plain,
( $false
| ~ spl14_37
| spl14_272 ),
inference(resolution,[],[f2579,f536]) ).
fof(f2579,plain,
( ~ leq(sK6,sK6)
| spl14_272 ),
inference(avatar_component_clause,[],[f2577]) ).
fof(f2577,plain,
( spl14_272
<=> leq(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_272])]) ).
fof(f2580,plain,
( ~ spl14_272
| spl14_160
| ~ spl14_9
| ~ spl14_163 ),
inference(avatar_split_clause,[],[f2552,f1355,f379,f1335,f2577]) ).
fof(f1355,plain,
( spl14_163
<=> ! [X0] :
( host(X0) != host(sK10)
| setIn(X0,alive)
| ~ leq(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
fof(f2552,plain,
( setIn(sK6,alive)
| ~ leq(sK6,sK6)
| ~ spl14_9
| ~ spl14_163 ),
inference(trivial_inequality_removal,[],[f2547]) ).
fof(f2547,plain,
( host(sK10) != host(sK10)
| setIn(sK6,alive)
| ~ leq(sK6,sK6)
| ~ spl14_9
| ~ spl14_163 ),
inference(superposition,[],[f1356,f381]) ).
fof(f1356,plain,
( ! [X0] :
( host(X0) != host(sK10)
| setIn(X0,alive)
| ~ leq(sK6,X0) )
| ~ spl14_163 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f2573,plain,
( ~ spl14_271
| spl14_258
| ~ spl14_163 ),
inference(avatar_split_clause,[],[f2550,f1355,f2466,f2570]) ).
fof(f2550,plain,
( setIn(sK10,alive)
| ~ leq(sK6,sK10)
| ~ spl14_163 ),
inference(equality_resolution,[],[f1356]) ).
fof(f2556,plain,
( ~ spl14_160
| spl14_270
| ~ spl14_9
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f568,f555,f379,f2554,f1335]) ).
fof(f555,plain,
( spl14_41
<=> ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f568,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 )
| ~ spl14_9
| ~ spl14_41 ),
inference(superposition,[],[f556,f381]) ).
fof(f556,plain,
( ! [X14,X13] :
( host(X13) != host(X14)
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14 )
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f2544,plain,
( spl14_269
| ~ spl14_74
| spl14_260 ),
inference(avatar_split_clause,[],[f2481,f2477,f722,f2541]) ).
fof(f2541,plain,
( spl14_269
<=> leq(sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_269])]) ).
fof(f2481,plain,
( leq(sK6,sK9)
| ~ spl14_74
| spl14_260 ),
inference(resolution,[],[f2479,f723]) ).
fof(f2479,plain,
( ~ leq(sK9,sK6)
| spl14_260 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f2539,plain,
( spl14_268
| ~ spl14_112
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1176,f1129,f946,f2537]) ).
fof(f2537,plain,
( spl14_268
<=> ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_268])]) ).
fof(f1176,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) )
| ~ spl14_112
| ~ spl14_132 ),
inference(resolution,[],[f1130,f947]) ).
fof(f2535,plain,
( ~ spl14_266
| spl14_267
| ~ spl14_117
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1170,f1137,f1002,f2533,f2529]) ).
fof(f2529,plain,
( spl14_266
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_266])]) ).
fof(f2533,plain,
( spl14_267
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_267])]) ).
fof(f1002,plain,
( spl14_117
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
fof(f1170,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) )
| ~ spl14_117
| ~ spl14_134 ),
inference(inner_rewriting,[],[f1169]) ).
fof(f1169,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| nbr_proc != s(nbr_proc) )
| ~ spl14_117
| ~ spl14_134 ),
inference(inner_rewriting,[],[f1164]) ).
fof(f1164,plain,
( ! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != nbr_proc )
| ~ spl14_117
| ~ spl14_134 ),
inference(superposition,[],[f1003,f1139]) ).
fof(f1003,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl14_117 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f2527,plain,
( spl14_265
| ~ spl14_18
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1148,f1137,f426,f2525]) ).
fof(f2525,plain,
( spl14_265
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_265])]) ).
fof(f1148,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(X0,alive) )
| ~ spl14_18
| ~ spl14_134 ),
inference(superposition,[],[f427,f1139]) ).
fof(f2520,plain,
( spl14_264
| ~ spl14_18
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1178,f1129,f426,f2518]) ).
fof(f1178,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl14_18
| ~ spl14_132 ),
inference(resolution,[],[f1130,f427]) ).
fof(f2505,plain,
( ~ spl14_2
| spl14_263
| ~ spl14_5
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1400,f1391,f358,f2502,f343]) ).
fof(f343,plain,
( spl14_2
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f1391,plain,
( spl14_166
<=> ! [X0] :
( host(X0) != host(sK8)
| sK4 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
fof(f1400,plain,
( sK4 = sK7
| ~ setIn(sK7,alive)
| ~ spl14_5
| ~ spl14_166 ),
inference(trivial_inequality_removal,[],[f1397]) ).
fof(f1397,plain,
( host(sK8) != host(sK8)
| sK4 = sK7
| ~ setIn(sK7,alive)
| ~ spl14_5
| ~ spl14_166 ),
inference(superposition,[],[f1392,f360]) ).
fof(f1392,plain,
( ! [X0] :
( host(X0) != host(sK8)
| sK4 = X0
| ~ setIn(X0,alive) )
| ~ spl14_166 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f2498,plain,
( ~ spl14_262
| spl14_258
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1387,f1379,f2466,f2495]) ).
fof(f1379,plain,
( spl14_165
<=> ! [X0] :
( host(X0) != host(sK10)
| setIn(X0,alive)
| ~ leq(sK9,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
fof(f1387,plain,
( setIn(sK10,alive)
| ~ leq(sK9,sK10)
| ~ spl14_165 ),
inference(equality_resolution,[],[f1380]) ).
fof(f1380,plain,
( ! [X0] :
( host(X0) != host(sK10)
| setIn(X0,alive)
| ~ leq(sK9,X0) )
| ~ spl14_165 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2487,plain,
( ~ spl14_261
| spl14_155
| ~ spl14_164 ),
inference(avatar_split_clause,[],[f1375,f1367,f1284,f2484]) ).
fof(f1284,plain,
( spl14_155
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f1367,plain,
( spl14_164
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
fof(f1375,plain,
( setIn(sK8,alive)
| ~ leq(sK7,sK8)
| ~ spl14_164 ),
inference(equality_resolution,[],[f1368]) ).
fof(f1368,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) )
| ~ spl14_164 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f2480,plain,
( ~ spl14_3
| ~ spl14_260
| ~ spl14_6
| ~ spl14_161 ),
inference(avatar_split_clause,[],[f1364,f1339,f363,f2477,f348]) ).
fof(f1339,plain,
( spl14_161
<=> ! [X0] :
( host(X0) != host(sK10)
| ~ leq(X0,sK6)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f1364,plain,
( ~ leq(sK9,sK6)
| ~ setIn(sK9,alive)
| ~ spl14_6
| ~ spl14_161 ),
inference(trivial_inequality_removal,[],[f1362]) ).
fof(f1362,plain,
( host(sK10) != host(sK10)
| ~ leq(sK9,sK6)
| ~ setIn(sK9,alive)
| ~ spl14_6
| ~ spl14_161 ),
inference(superposition,[],[f1340,f365]) ).
fof(f1340,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ leq(X0,sK6)
| ~ setIn(X0,alive) )
| ~ spl14_161 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f2473,plain,
( ~ spl14_258
| ~ spl14_259
| ~ spl14_161 ),
inference(avatar_split_clause,[],[f1363,f1339,f2470,f2466]) ).
fof(f1363,plain,
( ~ leq(sK10,sK6)
| ~ setIn(sK10,alive)
| ~ spl14_161 ),
inference(equality_resolution,[],[f1340]) ).
fof(f2461,plain,
( spl14_257
| ~ spl14_38
| ~ spl14_154 ),
inference(avatar_split_clause,[],[f2301,f1262,f539,f2458]) ).
fof(f539,plain,
( spl14_38
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f2301,plain,
( pidElem(m_Ldr(sK4))
| ~ spl14_38
| ~ spl14_154 ),
inference(superposition,[],[f540,f1264]) ).
fof(f540,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f2432,plain,
( spl14_256
| ~ spl14_48
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1107,f1095,f608,f2430]) ).
fof(f2430,plain,
( spl14_256
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_256])]) ).
fof(f1095,plain,
( spl14_128
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl14_48
| ~ spl14_128 ),
inference(superposition,[],[f1096,f609]) ).
fof(f1096,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) )
| ~ spl14_128 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f2424,plain,
( spl14_255
| ~ spl14_47
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1106,f1095,f604,f2422]) ).
fof(f2422,plain,
( spl14_255
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_255])]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl14_47
| ~ spl14_128 ),
inference(superposition,[],[f1096,f605]) ).
fof(f2420,plain,
( spl14_254
| ~ spl14_48
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1105,f1095,f608,f2418]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl14_48
| ~ spl14_128 ),
inference(superposition,[],[f1096,f609]) ).
fof(f2416,plain,
( spl14_253
| ~ spl14_47
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1104,f1095,f604,f2414]) ).
fof(f1104,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl14_47
| ~ spl14_128 ),
inference(superposition,[],[f1096,f605]) ).
fof(f2412,plain,
( spl14_252
| ~ spl14_48
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1101,f1091,f608,f2410]) ).
fof(f2410,plain,
( spl14_252
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_252])]) ).
fof(f1091,plain,
( spl14_127
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl14_48
| ~ spl14_127 ),
inference(superposition,[],[f1092,f609]) ).
fof(f1092,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) )
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f2408,plain,
( spl14_251
| ~ spl14_47
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1100,f1091,f604,f2406]) ).
fof(f2406,plain,
( spl14_251
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_251])]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl14_47
| ~ spl14_127 ),
inference(superposition,[],[f1092,f605]) ).
fof(f2404,plain,
( spl14_250
| ~ spl14_48
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1099,f1091,f608,f2402]) ).
fof(f1099,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl14_48
| ~ spl14_127 ),
inference(superposition,[],[f1092,f609]) ).
fof(f2400,plain,
( spl14_249
| ~ spl14_47
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1098,f1091,f604,f2398]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl14_47
| ~ spl14_127 ),
inference(superposition,[],[f1092,f605]) ).
fof(f2394,plain,
( spl14_248
| ~ spl14_87
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1071,f1057,f782,f2392]) ).
fof(f782,plain,
( spl14_87
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f1057,plain,
( spl14_122
<=> ! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK11(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK11(sK13(X0,X1)))
| sP1(X0,X1) )
| ~ spl14_87
| ~ spl14_122 ),
inference(resolution,[],[f1058,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( pidElem(sK13(X0,X1))
| sP1(X0,X1) )
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1058,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK11(X0)) = X0
| m_Down(sK11(X0)) = X0 )
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f2390,plain,
( spl14_247
| ~ spl14_85
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1070,f1057,f774,f2388]) ).
fof(f774,plain,
( spl14_85
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f1070,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK11(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK11(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_85
| ~ spl14_122 ),
inference(resolution,[],[f1058,f775]) ).
fof(f775,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP0(X0,X1) )
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f2324,plain,
( spl14_246
| ~ spl14_100
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1052,f1018,f847,f2322]) ).
fof(f1052,plain,
( ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl14_100
| ~ spl14_121 ),
inference(resolution,[],[f1019,f848]) ).
fof(f2320,plain,
( spl14_245
| ~ spl14_99
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1051,f1018,f843,f2318]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl14_99
| ~ spl14_121 ),
inference(resolution,[],[f1019,f844]) ).
fof(f2316,plain,
( ~ spl14_244
| spl14_153
| ~ spl14_154 ),
inference(avatar_split_clause,[],[f2296,f1262,f1258,f2313]) ).
fof(f2296,plain,
( ~ elem(m_Ldr(sK4),queue(host(sK10)))
| spl14_153
| ~ spl14_154 ),
inference(forward_demodulation,[],[f1259,f1264]) ).
fof(f1259,plain,
( ~ elem(m_Down(sK8),queue(host(sK10)))
| spl14_153 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f2295,plain,
( spl14_243
| ~ spl14_74
| spl14_232 ),
inference(avatar_split_clause,[],[f2200,f2106,f722,f2292]) ).
fof(f2200,plain,
( leq(sK8,sK4)
| ~ spl14_74
| spl14_232 ),
inference(resolution,[],[f2108,f723]) ).
fof(f2290,plain,
( spl14_242
| ~ spl14_100
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1045,f1014,f847,f2288]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl14_100
| ~ spl14_120 ),
inference(resolution,[],[f1015,f848]) ).
fof(f2286,plain,
( spl14_241
| ~ spl14_99
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1044,f1014,f843,f2284]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl14_99
| ~ spl14_120 ),
inference(resolution,[],[f1015,f844]) ).
fof(f2255,plain,
( spl14_240
| ~ spl14_119
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1055,f1018,f1010,f2253]) ).
fof(f1055,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl14_119
| ~ spl14_121 ),
inference(superposition,[],[f1019,f1011]) ).
fof(f2251,plain,
( spl14_239
| ~ spl14_106
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1039,f1010,f898,f2249]) ).
fof(f898,plain,
( spl14_106
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_106
| ~ spl14_119 ),
inference(superposition,[],[f899,f1011]) ).
fof(f899,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f2172,plain,
( spl14_238
| ~ spl14_38
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1069,f1057,f539,f2170]) ).
fof(f1069,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK11(m_Down(X0)))
| m_Down(X0) = m_Down(sK11(m_Down(X0))) )
| ~ spl14_38
| ~ spl14_122 ),
inference(resolution,[],[f1058,f540]) ).
fof(f2168,plain,
( spl14_237
| ~ spl14_39
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1068,f1057,f543,f2166]) ).
fof(f543,plain,
( spl14_39
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f1068,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK11(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK11(m_Halt(X0))) )
| ~ spl14_39
| ~ spl14_122 ),
inference(resolution,[],[f1058,f544]) ).
fof(f544,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f2164,plain,
( spl14_236
| ~ spl14_110
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1054,f1018,f938,f2162]) ).
fof(f2162,plain,
( spl14_236
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_236])]) ).
fof(f1054,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl14_110
| ~ spl14_121 ),
inference(superposition,[],[f1019,f939]) ).
fof(f2160,plain,
( spl14_235
| ~ spl14_109
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1047,f1014,f934,f2158]) ).
fof(f2158,plain,
( spl14_235
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_235])]) ).
fof(f1047,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl14_109
| ~ spl14_120 ),
inference(superposition,[],[f1015,f935]) ).
fof(f2156,plain,
( spl14_234
| ~ spl14_109
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1031,f1010,f934,f2154]) ).
fof(f1031,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl14_109
| ~ spl14_119 ),
inference(superposition,[],[f1011,f935]) ).
fof(f2113,plain,
( spl14_233
| ~ spl14_106
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f982,f938,f898,f2111]) ).
fof(f982,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl14_106
| ~ spl14_110 ),
inference(superposition,[],[f899,f939]) ).
fof(f2109,plain,
( ~ spl14_232
| spl14_155
| ~ spl14_162 ),
inference(avatar_split_clause,[],[f1351,f1343,f1284,f2106]) ).
fof(f1343,plain,
( spl14_162
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_162])]) ).
fof(f1351,plain,
( setIn(sK8,alive)
| ~ leq(sK4,sK8)
| ~ spl14_162 ),
inference(equality_resolution,[],[f1344]) ).
fof(f1344,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK4,X0) )
| ~ spl14_162 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f2104,plain,
( spl14_231
| ~ spl14_105
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f973,f934,f894,f2102]) ).
fof(f973,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_105
| ~ spl14_109 ),
inference(superposition,[],[f895,f935]) ).
fof(f2100,plain,
( spl14_230
| ~ spl14_97
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f922,f902,f835,f2098]) ).
fof(f922,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl14_97
| ~ spl14_107 ),
inference(resolution,[],[f903,f836]) ).
fof(f2066,plain,
( spl14_229
| ~ spl14_101
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1041,f1010,f851,f2064]) ).
fof(f851,plain,
( spl14_101
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_101
| ~ spl14_119 ),
inference(superposition,[],[f852,f1011]) ).
fof(f852,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl14_101 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f2062,plain,
( spl14_228
| ~ spl14_103
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1038,f1010,f859,f2060]) ).
fof(f859,plain,
( spl14_103
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl14_103
| ~ spl14_119 ),
inference(superposition,[],[f860,f1011]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl14_103 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f2058,plain,
( spl14_227
| ~ spl14_97
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1029,f1006,f835,f2056]) ).
fof(f1029,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl14_97
| ~ spl14_118 ),
inference(resolution,[],[f1007,f836]) ).
fof(f1986,plain,
( spl14_226
| ~ spl14_84
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1040,f1010,f770,f1984]) ).
fof(f770,plain,
( spl14_84
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f1040,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl14_84
| ~ spl14_119 ),
inference(superposition,[],[f771,f1011]) ).
fof(f771,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1982,plain,
( spl14_225
| ~ spl14_88
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1037,f1010,f786,f1980]) ).
fof(f786,plain,
( spl14_88
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl14_88
| ~ spl14_119 ),
inference(superposition,[],[f787,f1011]) ).
fof(f787,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl14_88 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1978,plain,
( spl14_224
| ~ spl14_74
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1027,f1006,f722,f1976]) ).
fof(f1027,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl14_74
| ~ spl14_118 ),
inference(resolution,[],[f1007,f723]) ).
fof(f1974,plain,
( ~ spl14_223
| ~ spl14_35
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1153,f1137,f527,f1971]) ).
fof(f1971,plain,
( spl14_223
<=> elem(m_Down(sK5),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_223])]) ).
fof(f1153,plain,
( ~ elem(m_Down(sK5),queue(nbr_proc))
| ~ spl14_35
| ~ spl14_134 ),
inference(superposition,[],[f528,f1139]) ).
fof(f1969,plain,
( spl14_222
| ~ spl14_48
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f998,f954,f608,f1967]) ).
fof(f954,plain,
( spl14_114
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_114])]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl14_48
| ~ spl14_114 ),
inference(superposition,[],[f955,f609]) ).
fof(f955,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1965,plain,
( spl14_221
| ~ spl14_47
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f997,f954,f604,f1963]) ).
fof(f997,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl14_47
| ~ spl14_114 ),
inference(superposition,[],[f955,f605]) ).
fof(f1961,plain,
( spl14_220
| ~ spl14_48
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f994,f950,f608,f1959]) ).
fof(f950,plain,
( spl14_113
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl14_48
| ~ spl14_113 ),
inference(superposition,[],[f951,f609]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP0(X0,X1) )
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1957,plain,
( spl14_219
| ~ spl14_47
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f993,f950,f604,f1955]) ).
fof(f993,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl14_47
| ~ spl14_113 ),
inference(superposition,[],[f951,f605]) ).
fof(f1953,plain,
( spl14_218
| ~ spl14_97
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f931,f906,f835,f1951]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl14_97
| ~ spl14_108 ),
inference(resolution,[],[f907,f836]) ).
fof(f1949,plain,
( spl14_217
| ~ spl14_89
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f918,f902,f790,f1947]) ).
fof(f918,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl14_89
| ~ spl14_107 ),
inference(resolution,[],[f903,f791]) ).
fof(f1871,plain,
( spl14_216
| ~ spl14_76
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1036,f1010,f730,f1869]) ).
fof(f730,plain,
( spl14_76
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl14_76
| ~ spl14_119 ),
inference(superposition,[],[f731,f1011]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1867,plain,
( spl14_215
| ~ spl14_72
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1035,f1010,f713,f1865]) ).
fof(f713,plain,
( spl14_72
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f1035,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl14_72
| ~ spl14_119 ),
inference(superposition,[],[f714,f1011]) ).
fof(f714,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl14_72 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1863,plain,
( spl14_214
| ~ spl14_74
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f995,f954,f722,f1861]) ).
fof(f995,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) )
| ~ spl14_74
| ~ spl14_114 ),
inference(resolution,[],[f955,f723]) ).
fof(f1859,plain,
( spl14_213
| ~ spl14_103
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f981,f938,f859,f1857]) ).
fof(f981,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl14_103
| ~ spl14_110 ),
inference(superposition,[],[f860,f939]) ).
fof(f1855,plain,
( spl14_212
| ~ spl14_88
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f980,f938,f786,f1853]) ).
fof(f1853,plain,
( spl14_212
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_212])]) ).
fof(f980,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl14_88
| ~ spl14_110 ),
inference(superposition,[],[f787,f939]) ).
fof(f1851,plain,
( ~ spl14_211
| spl14_131
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1762,f1137,f1124,f1848]) ).
fof(f1848,plain,
( spl14_211
<=> leq(nbr_proc,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_211])]) ).
fof(f1124,plain,
( spl14_131
<=> leq(host(sK5),host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
fof(f1762,plain,
( ~ leq(nbr_proc,host(sK3))
| spl14_131
| ~ spl14_134 ),
inference(superposition,[],[f1126,f1139]) ).
fof(f1126,plain,
( ~ leq(host(sK5),host(sK3))
| spl14_131 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1846,plain,
( spl14_210
| ~ spl14_102
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f972,f934,f855,f1844]) ).
fof(f972,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl14_102
| ~ spl14_109 ),
inference(superposition,[],[f856,f935]) ).
fof(f1842,plain,
( spl14_209
| ~ spl14_86
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f971,f934,f778,f1840]) ).
fof(f1840,plain,
( spl14_209
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_209])]) ).
fof(f971,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl14_86
| ~ spl14_109 ),
inference(superposition,[],[f779,f935]) ).
fof(f1838,plain,
( spl14_208
| ~ spl14_89
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f927,f906,f790,f1836]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl14_89
| ~ spl14_108 ),
inference(resolution,[],[f907,f791]) ).
fof(f1834,plain,
( spl14_207
| ~ spl14_50
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f921,f902,f617,f1832]) ).
fof(f1832,plain,
( spl14_207
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_207])]) ).
fof(f921,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl14_50
| ~ spl14_107 ),
inference(resolution,[],[f903,f618]) ).
fof(f1816,plain,
( spl14_206
| ~ spl14_74
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f925,f906,f722,f1814]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl14_74
| ~ spl14_108 ),
inference(resolution,[],[f907,f723]) ).
fof(f1759,plain,
( spl14_205
| ~ spl14_6
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f891,f881,f363,f1757]) ).
fof(f1757,plain,
( spl14_205
<=> ! [X2,X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),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,[spl14_205])]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_6
| ~ spl14_104 ),
inference(superposition,[],[f882,f365]) ).
fof(f1755,plain,
( spl14_204
| ~ spl14_5
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f890,f881,f358,f1753]) ).
fof(f890,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) )
| ~ spl14_5
| ~ spl14_104 ),
inference(superposition,[],[f882,f360]) ).
fof(f1751,plain,
( spl14_203
| ~ spl14_9
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f889,f881,f379,f1749]) ).
fof(f889,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_9
| ~ spl14_104 ),
inference(superposition,[],[f882,f381]) ).
fof(f1747,plain,
( spl14_202
| ~ spl14_10
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f888,f881,f384,f1745]) ).
fof(f888,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl14_10
| ~ spl14_104 ),
inference(superposition,[],[f882,f386]) ).
fof(f1731,plain,
( ~ spl14_3
| spl14_201
| ~ spl14_6
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f887,f881,f363,f1729,f348]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK10)))
| host(X2) != host(X1)
| ~ setIn(sK9,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK10) )
| ~ spl14_6
| ~ spl14_104 ),
inference(superposition,[],[f882,f365]) ).
fof(f1715,plain,
( ~ spl14_1
| spl14_200
| ~ spl14_10
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f884,f881,f384,f1713,f338]) ).
fof(f338,plain,
( spl14_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f884,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(sK4,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK8) )
| ~ spl14_10
| ~ spl14_104 ),
inference(superposition,[],[f882,f386]) ).
fof(f1701,plain,
( ~ spl14_199
| ~ spl14_44
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1115,f1111,f588,f1698]) ).
fof(f1698,plain,
( spl14_199
<=> leq(s(host(sK5)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_199])]) ).
fof(f1115,plain,
( ~ leq(s(host(sK5)),nbr_proc)
| ~ spl14_44
| ~ spl14_129 ),
inference(resolution,[],[f1112,f589]) ).
fof(f1670,plain,
( spl14_198
| ~ spl14_71
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1034,f1010,f709,f1668]) ).
fof(f709,plain,
( spl14_71
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f1034,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl14_71
| ~ spl14_119 ),
inference(superposition,[],[f710,f1011]) ).
fof(f710,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl14_71 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1666,plain,
( spl14_197
| ~ spl14_76
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f979,f938,f730,f1664]) ).
fof(f1664,plain,
( spl14_197
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_197])]) ).
fof(f979,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl14_76
| ~ spl14_110 ),
inference(superposition,[],[f731,f939]) ).
fof(f1662,plain,
( spl14_196
| ~ spl14_75
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f970,f934,f726,f1660]) ).
fof(f1660,plain,
( spl14_196
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
fof(f970,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl14_75
| ~ spl14_109 ),
inference(superposition,[],[f727,f935]) ).
fof(f1658,plain,
( spl14_195
| ~ spl14_50
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f930,f906,f617,f1656]) ).
fof(f930,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl14_50
| ~ spl14_108 ),
inference(resolution,[],[f907,f618]) ).
fof(f1651,plain,
( ~ spl14_193
| spl14_194
| ~ spl14_43
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f920,f902,f583,f1648,f1644]) ).
fof(f1648,plain,
( spl14_194
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
fof(f920,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl14_43
| ~ spl14_107 ),
inference(resolution,[],[f903,f585]) ).
fof(f1642,plain,
( spl14_192
| ~ spl14_45
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f919,f902,f592,f1640]) ).
fof(f1640,plain,
( spl14_192
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
fof(f919,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl14_45
| ~ spl14_107 ),
inference(resolution,[],[f903,f593]) ).
fof(f1638,plain,
( spl14_191
| ~ spl14_74
| ~ spl14_98 ),
inference(avatar_split_clause,[],[f871,f839,f722,f1636]) ).
fof(f871,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl14_74
| ~ spl14_98 ),
inference(resolution,[],[f840,f723]) ).
fof(f1590,plain,
( spl14_190
| ~ spl14_67
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1033,f1010,f686,f1588]) ).
fof(f686,plain,
( spl14_67
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f1033,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl14_67
| ~ spl14_119 ),
inference(superposition,[],[f687,f1011]) ).
fof(f687,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl14_67 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f1586,plain,
( spl14_189
| ~ spl14_67
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f978,f938,f686,f1584]) ).
fof(f978,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl14_67
| ~ spl14_110 ),
inference(superposition,[],[f687,f939]) ).
fof(f1582,plain,
( spl14_188
| ~ spl14_66
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f969,f934,f682,f1580]) ).
fof(f969,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl14_66
| ~ spl14_109 ),
inference(superposition,[],[f683,f935]) ).
fof(f1578,plain,
( spl14_187
| ~ spl14_43
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f929,f906,f583,f1576]) ).
fof(f929,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl14_43
| ~ spl14_108 ),
inference(resolution,[],[f907,f585]) ).
fof(f1574,plain,
( spl14_186
| ~ spl14_45
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f928,f906,f592,f1572]) ).
fof(f928,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl14_45
| ~ spl14_108 ),
inference(resolution,[],[f907,f593]) ).
fof(f1570,plain,
( spl14_185
| ~ spl14_88
| ~ spl14_101 ),
inference(avatar_split_clause,[],[f875,f851,f786,f1568]) ).
fof(f1568,plain,
( spl14_185
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl14_88
| ~ spl14_101 ),
inference(resolution,[],[f852,f787]) ).
fof(f1566,plain,
( spl14_184
| ~ spl14_89
| ~ spl14_98 ),
inference(avatar_split_clause,[],[f869,f839,f790,f1564]) ).
fof(f869,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl14_89
| ~ spl14_98 ),
inference(resolution,[],[f840,f791]) ).
fof(f1558,plain,
( ~ spl14_183
| spl14_60
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1174,f1129,f657,f1555]) ).
fof(f657,plain,
( spl14_60
<=> elem(m_Down(sK7),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f1174,plain,
( ~ elem(m_Down(sK7),sK2)
| spl14_60
| ~ spl14_132 ),
inference(resolution,[],[f1130,f659]) ).
fof(f659,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| spl14_60 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f1553,plain,
( spl14_182
| ~ spl14_84
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f811,f786,f770,f1551]) ).
fof(f1551,plain,
( spl14_182
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
fof(f811,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl14_84
| ~ spl14_88 ),
inference(resolution,[],[f787,f771]) ).
fof(f1549,plain,
( spl14_181
| ~ spl14_71
| ~ spl14_83 ),
inference(avatar_split_clause,[],[f795,f766,f709,f1547]) ).
fof(f1547,plain,
( spl14_181
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f795,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl14_71
| ~ spl14_83 ),
inference(superposition,[],[f710,f767]) ).
fof(f1545,plain,
( spl14_180
| ~ spl14_72
| ~ spl14_83 ),
inference(avatar_split_clause,[],[f794,f766,f713,f1543]) ).
fof(f1543,plain,
( spl14_180
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
fof(f794,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl14_72
| ~ spl14_83 ),
inference(superposition,[],[f714,f767]) ).
fof(f1535,plain,
( spl14_179
| ~ spl14_44
| ~ spl14_89 ),
inference(avatar_split_clause,[],[f813,f790,f588,f1533]) ).
fof(f813,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl14_44
| ~ spl14_89 ),
inference(resolution,[],[f791,f589]) ).
fof(f1491,plain,
( ~ spl14_178
| spl14_42
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1173,f1129,f578,f1488]) ).
fof(f578,plain,
( spl14_42
<=> elem(m_Down(sK4),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f1173,plain,
( ~ elem(m_Down(sK4),sK2)
| spl14_42
| ~ spl14_132 ),
inference(resolution,[],[f1130,f580]) ).
fof(f580,plain,
( ~ elem(m_Down(sK4),queue(host(sK8)))
| spl14_42 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1462,plain,
( spl14_177
| ~ spl14_6
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1088,f1078,f363,f1460]) ).
fof(f1088,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK9,X0)
| ~ ordered(cons(m_Halt(sK9),X1)) )
| ~ spl14_6
| ~ spl14_126 ),
inference(superposition,[],[f1079,f365]) ).
fof(f1458,plain,
( spl14_176
| ~ spl14_5
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1087,f1078,f358,f1456]) ).
fof(f1456,plain,
( spl14_176
<=> ! [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,[spl14_176])]) ).
fof(f1087,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl14_5
| ~ spl14_126 ),
inference(superposition,[],[f1079,f360]) ).
fof(f1454,plain,
( spl14_175
| ~ spl14_9
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1086,f1078,f379,f1452]) ).
fof(f1086,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl14_9
| ~ spl14_126 ),
inference(superposition,[],[f1079,f381]) ).
fof(f1450,plain,
( spl14_174
| ~ spl14_10
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1085,f1078,f384,f1448]) ).
fof(f1085,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl14_10
| ~ spl14_126 ),
inference(superposition,[],[f1079,f386]) ).
fof(f1446,plain,
( spl14_173
| ~ spl14_6
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1084,f1078,f363,f1444]) ).
fof(f1444,plain,
( spl14_173
<=> ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),X1)
| leq(X0,sK9)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
fof(f1084,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),X1)
| leq(X0,sK9)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_6
| ~ spl14_126 ),
inference(superposition,[],[f1079,f365]) ).
fof(f1442,plain,
( spl14_172
| ~ spl14_5
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1083,f1078,f358,f1440]) ).
fof(f1083,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_5
| ~ spl14_126 ),
inference(superposition,[],[f1079,f360]) ).
fof(f1438,plain,
( spl14_171
| ~ spl14_9
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1082,f1078,f379,f1436]) ).
fof(f1082,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_9
| ~ spl14_126 ),
inference(superposition,[],[f1079,f381]) ).
fof(f1434,plain,
( spl14_170
| ~ spl14_10
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1081,f1078,f384,f1432]) ).
fof(f1081,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl14_10
| ~ spl14_126 ),
inference(superposition,[],[f1079,f386]) ).
fof(f1426,plain,
( spl14_169
| ~ spl14_44
| ~ spl14_74 ),
inference(avatar_split_clause,[],[f755,f722,f588,f1424]) ).
fof(f755,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl14_44
| ~ spl14_74 ),
inference(resolution,[],[f723,f589]) ).
fof(f1415,plain,
( ~ spl14_3
| spl14_168
| ~ spl14_6
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f570,f555,f363,f1413,f348]) ).
fof(f570,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| sK9 = X0 )
| ~ spl14_6
| ~ spl14_41 ),
inference(superposition,[],[f556,f365]) ).
fof(f1404,plain,
( ~ spl14_2
| spl14_167
| ~ spl14_5
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f569,f555,f358,f1402,f343]) ).
fof(f1402,plain,
( spl14_167
<=> ! [X0] :
( host(X0) != host(sK8)
| sK7 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
fof(f569,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| sK7 = X0 )
| ~ spl14_5
| ~ spl14_41 ),
inference(superposition,[],[f556,f360]) ).
fof(f1393,plain,
( ~ spl14_1
| spl14_166
| ~ spl14_10
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f567,f555,f384,f1391,f338]) ).
fof(f567,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| sK4 = X0 )
| ~ spl14_10
| ~ spl14_41 ),
inference(superposition,[],[f556,f386]) ).
fof(f1381,plain,
( ~ spl14_3
| spl14_165
| ~ spl14_6
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f565,f551,f363,f1379,f348]) ).
fof(f565,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ setIn(sK9,alive)
| ~ leq(sK9,X0)
| setIn(X0,alive) )
| ~ spl14_6
| ~ spl14_40 ),
inference(superposition,[],[f552,f365]) ).
fof(f1369,plain,
( ~ spl14_2
| spl14_164
| ~ spl14_5
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f564,f551,f358,f1367,f343]) ).
fof(f564,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK7,alive)
| ~ leq(sK7,X0)
| setIn(X0,alive) )
| ~ spl14_5
| ~ spl14_40 ),
inference(superposition,[],[f552,f360]) ).
fof(f1357,plain,
( ~ spl14_160
| spl14_163
| ~ spl14_9
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f563,f551,f379,f1355,f1335]) ).
fof(f563,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ setIn(sK6,alive)
| ~ leq(sK6,X0)
| setIn(X0,alive) )
| ~ spl14_9
| ~ spl14_40 ),
inference(superposition,[],[f552,f381]) ).
fof(f1345,plain,
( ~ spl14_1
| spl14_162
| ~ spl14_10
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f562,f551,f384,f1343,f338]) ).
fof(f562,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK4,alive)
| ~ leq(sK4,X0)
| setIn(X0,alive) )
| ~ spl14_10
| ~ spl14_40 ),
inference(superposition,[],[f552,f386]) ).
fof(f1341,plain,
( spl14_160
| spl14_161
| ~ spl14_9
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f559,f551,f379,f1339,f1335]) ).
fof(f559,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ setIn(X0,alive)
| ~ leq(X0,sK6)
| setIn(sK6,alive) )
| ~ spl14_9
| ~ spl14_40 ),
inference(superposition,[],[f552,f381]) ).
fof(f1319,plain,
( spl14_159
| ~ spl14_20
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1046,f1014,f436,f1317]) ).
fof(f1046,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_120 ),
inference(superposition,[],[f1015,f438]) ).
fof(f1315,plain,
( spl14_158
| ~ spl14_20
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1030,f1010,f436,f1313]) ).
fof(f1030,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl14_20
| ~ spl14_119 ),
inference(superposition,[],[f1011,f438]) ).
fof(f1311,plain,
( spl14_157
| ~ spl14_34
| ~ spl14_100 ),
inference(avatar_split_clause,[],[f874,f847,f523,f1309]) ).
fof(f1309,plain,
( spl14_157
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_157])]) ).
fof(f874,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl14_34
| ~ spl14_100 ),
inference(resolution,[],[f848,f524]) ).
fof(f1307,plain,
( spl14_156
| ~ spl14_46
| ~ spl14_86 ),
inference(avatar_split_clause,[],[f809,f778,f596,f1305]) ).
fof(f1305,plain,
( spl14_156
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
fof(f596,plain,
( spl14_46
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f809,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl14_46
| ~ spl14_86 ),
inference(resolution,[],[f779,f597]) ).
fof(f597,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f1287,plain,
( ~ spl14_155
| ~ spl14_18
| ~ spl14_153 ),
inference(avatar_split_clause,[],[f1266,f1258,f426,f1284]) ).
fof(f1266,plain,
( ~ setIn(sK8,alive)
| ~ spl14_18
| ~ spl14_153 ),
inference(resolution,[],[f1260,f427]) ).
fof(f1265,plain,
( spl14_153
| spl14_154
| ~ spl14_21
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1050,f1018,f445,f1262,f1258]) ).
fof(f1050,plain,
( m_Ldr(sK4) = m_Down(sK8)
| elem(m_Down(sK8),queue(host(sK10)))
| ~ spl14_21
| ~ spl14_121 ),
inference(resolution,[],[f1019,f447]) ).
fof(f1256,plain,
( spl14_152
| ~ spl14_6
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f460,f450,f363,f1254]) ).
fof(f1254,plain,
( spl14_152
<=> ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
fof(f460,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X0))) )
| ~ spl14_6
| ~ spl14_22 ),
inference(superposition,[],[f451,f365]) ).
fof(f1252,plain,
( spl14_151
| ~ spl14_5
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f459,f450,f358,f1250]) ).
fof(f1250,plain,
( spl14_151
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
fof(f459,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) )
| ~ spl14_5
| ~ spl14_22 ),
inference(superposition,[],[f451,f360]) ).
fof(f1248,plain,
( spl14_150
| ~ spl14_9
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f458,f450,f379,f1246]) ).
fof(f1246,plain,
( spl14_150
<=> ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f458,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl14_9
| ~ spl14_22 ),
inference(superposition,[],[f451,f381]) ).
fof(f1244,plain,
( spl14_149
| ~ spl14_10
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f457,f450,f384,f1242]) ).
fof(f457,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl14_10
| ~ spl14_22 ),
inference(superposition,[],[f451,f386]) ).
fof(f1239,plain,
( ~ spl14_148
| ~ spl14_35
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f1175,f1129,f527,f1236]) ).
fof(f1236,plain,
( spl14_148
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
fof(f1175,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl14_35
| ~ spl14_132 ),
inference(resolution,[],[f1130,f528]) ).
fof(f1233,plain,
( spl14_147
| ~ spl14_6
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f990,f946,f363,f1231]) ).
fof(f1231,plain,
( spl14_147
<=> ! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK10)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
fof(f990,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK10)))
| setIn(X0,pids) )
| ~ spl14_6
| ~ spl14_112 ),
inference(superposition,[],[f947,f365]) ).
fof(f1229,plain,
( spl14_146
| ~ spl14_5
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f989,f946,f358,f1227]) ).
fof(f989,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_5
| ~ spl14_112 ),
inference(superposition,[],[f947,f360]) ).
fof(f1225,plain,
( spl14_145
| ~ spl14_9
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f988,f946,f379,f1223]) ).
fof(f1223,plain,
( spl14_145
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK10)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
fof(f988,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK10)))
| setIn(X0,pids) )
| ~ spl14_9
| ~ spl14_112 ),
inference(superposition,[],[f947,f381]) ).
fof(f1221,plain,
( spl14_144
| ~ spl14_10
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f987,f946,f384,f1219]) ).
fof(f987,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl14_10
| ~ spl14_112 ),
inference(superposition,[],[f947,f386]) ).
fof(f1217,plain,
( spl14_142
| spl14_143
| ~ spl14_6
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f986,f942,f363,f1215,f1211]) ).
fof(f1211,plain,
( spl14_142
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
fof(f1215,plain,
( spl14_143
<=> ! [X0] : ~ elem(m_Ack(sK9,X0),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
fof(f986,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK10)))
| setIn(sK9,pids) )
| ~ spl14_6
| ~ spl14_111 ),
inference(superposition,[],[f943,f365]) ).
fof(f1209,plain,
( spl14_140
| spl14_141
| ~ spl14_5
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f985,f942,f358,f1207,f1203]) ).
fof(f1203,plain,
( spl14_140
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
fof(f1207,plain,
( spl14_141
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
fof(f985,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(sK7,pids) )
| ~ spl14_5
| ~ spl14_111 ),
inference(superposition,[],[f943,f360]) ).
fof(f1201,plain,
( ~ spl14_139
| spl14_25
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1146,f1137,f475,f1198]) ).
fof(f475,plain,
( spl14_25
<=> host(sK5) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f1146,plain,
( nbr_proc != host(sK10)
| spl14_25
| ~ spl14_134 ),
inference(superposition,[],[f476,f1139]) ).
fof(f476,plain,
( host(sK5) != host(sK10)
| spl14_25 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1196,plain,
( spl14_137
| spl14_138
| ~ spl14_9
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f984,f942,f379,f1194,f1190]) ).
fof(f1190,plain,
( spl14_137
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f1194,plain,
( spl14_138
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
fof(f984,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK10)))
| setIn(sK6,pids) )
| ~ spl14_9
| ~ spl14_111 ),
inference(superposition,[],[f943,f381]) ).
fof(f1188,plain,
( spl14_135
| spl14_136
| ~ spl14_10
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f983,f942,f384,f1186,f1182]) ).
fof(f1182,plain,
( spl14_135
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_135])]) ).
fof(f1186,plain,
( spl14_136
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
fof(f983,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK8)))
| setIn(sK4,pids) )
| ~ spl14_10
| ~ spl14_111 ),
inference(superposition,[],[f943,f386]) ).
fof(f1144,plain,
( ~ spl14_45
| spl14_133 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl14_45
| spl14_133 ),
inference(resolution,[],[f1135,f593]) ).
fof(f1135,plain,
( ~ leq(host(sK5),nbr_proc)
| spl14_133 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1133,plain,
( spl14_133
<=> leq(host(sK5),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
fof(f1140,plain,
( ~ spl14_133
| spl14_134
| ~ spl14_13
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f923,f902,f401,f1137,f1133]) ).
fof(f401,plain,
( spl14_13
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f923,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc)
| ~ spl14_13
| ~ spl14_107 ),
inference(resolution,[],[f903,f403]) ).
fof(f403,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1131,plain,
( spl14_132
| ~ spl14_20
| ~ spl14_102 ),
inference(avatar_split_clause,[],[f878,f855,f436,f1129]) ).
fof(f878,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl14_20
| ~ spl14_102 ),
inference(superposition,[],[f856,f438]) ).
fof(f1127,plain,
( ~ spl14_131
| ~ spl14_24
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1114,f1073,f471,f1124]) ).
fof(f1073,plain,
( spl14_125
<=> elem(m_Ack(sK3,sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
fof(f1114,plain,
( ~ leq(host(sK5),host(sK3))
| ~ spl14_24
| ~ spl14_125 ),
inference(resolution,[],[f1075,f472]) ).
fof(f1075,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK8)))
| ~ spl14_125 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1122,plain,
( spl14_130
| ~ spl14_20
| ~ spl14_69 ),
inference(avatar_split_clause,[],[f753,f701,f436,f1119]) ).
fof(f1119,plain,
( spl14_130
<=> m_Ack(sK3,sK5) = head(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
fof(f753,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK8)))
| ~ spl14_20
| ~ spl14_69 ),
inference(superposition,[],[f702,f438]) ).
fof(f1113,plain,
( spl14_129
| ~ spl14_13
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f932,f906,f401,f1111]) ).
fof(f932,plain,
( ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) )
| ~ spl14_13
| ~ spl14_108 ),
inference(resolution,[],[f907,f403]) ).
fof(f1097,plain,
spl14_128,
inference(avatar_split_clause,[],[f277,f1095]) ).
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,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f170,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,[],[f169]) ).
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) ) )
& ( ! [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(f1093,plain,
spl14_127,
inference(avatar_split_clause,[],[f268,f1091]) ).
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,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f164,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f164,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,[],[f163]) ).
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) ) )
& ( ! [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(f1080,plain,
spl14_126,
inference(avatar_split_clause,[],[f300,f1078]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f1076,plain,
( spl14_125
| ~ spl14_20
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f699,f682,f436,f1073]) ).
fof(f699,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK8)))
| ~ spl14_20
| ~ spl14_66 ),
inference(superposition,[],[f683,f438]) ).
fof(f1067,plain,
spl14_124,
inference(avatar_split_clause,[],[f281,f1065]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1063,plain,
spl14_123,
inference(avatar_split_clause,[],[f272,f1061]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1059,plain,
spl14_122,
inference(avatar_split_clause,[],[f231,f1057]) ).
fof(f231,plain,
! [X0] :
( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f154,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,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f1020,plain,
spl14_121,
inference(avatar_split_clause,[],[f304,f1018]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f1016,plain,
spl14_120,
inference(avatar_split_clause,[],[f301,f1014]) ).
fof(f301,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[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(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f1012,plain,
spl14_119,
inference(avatar_split_clause,[],[f297,f1010]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f1008,plain,
spl14_118,
inference(avatar_split_clause,[],[f286,f1006]) ).
fof(f286,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,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,[],[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(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f1004,plain,
spl14_117,
inference(avatar_split_clause,[],[f253,f1002]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f964,plain,
spl14_116,
inference(avatar_split_clause,[],[f308,f962]) ).
fof(f962,plain,
( spl14_116
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f960,plain,
spl14_115,
inference(avatar_split_clause,[],[f307,f958]) ).
fof(f958,plain,
( spl14_115
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f956,plain,
spl14_114,
inference(avatar_split_clause,[],[f282,f954]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f952,plain,
spl14_113,
inference(avatar_split_clause,[],[f273,f950]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f948,plain,
spl14_112,
inference(avatar_split_clause,[],[f255,f946]) ).
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/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f944,plain,
spl14_111,
inference(avatar_split_clause,[],[f254,f942]) ).
fof(f254,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f940,plain,
spl14_110,
inference(avatar_split_clause,[],[f230,f938]) ).
fof(f230,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f936,plain,
spl14_109,
inference(avatar_split_clause,[],[f229,f934]) ).
fof(f229,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f908,plain,
spl14_108,
inference(avatar_split_clause,[],[f299,f906]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f904,plain,
spl14_107,
inference(avatar_split_clause,[],[f289,f902]) ).
fof(f289,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f900,plain,
spl14_106,
inference(avatar_split_clause,[],[f285,f898]) ).
fof(f285,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[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(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f896,plain,
spl14_105,
inference(avatar_split_clause,[],[f276,f894]) ).
fof(f276,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[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(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f883,plain,
spl14_104,
inference(avatar_split_clause,[],[f190,f881]) ).
fof(f190,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4)))
& elem(m_Down(sK10),sK2)
& host(sK9) = host(sK10)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9)
& host(sK4) != host(sK9)
& host(sK6) = host(sK9)
& host(sK4) = host(sK7)
& host(sK6) != host(sK7)
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f146,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X2)))
& elem(m_Down(X8),X0)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X2) != host(X7)
& host(X4) = host(X7) )
& host(X2) = host(X5)
& host(X4) != host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) )
=> ( ? [X4] :
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X4) = host(X7) )
& host(X5) = host(sK4)
& host(X4) != host(X5) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X4) = host(X7) )
& host(X5) = host(sK4)
& host(X4) != host(X5) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
=> ( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(X5) = host(sK4)
& host(X5) != host(sK6) )
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5] :
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(X5) = host(sK4)
& host(X5) != host(sK6) )
=> ( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X6) = host(sK7)
& setIn(X7,alive)
& setIn(sK7,alive)
& host(X7) != host(sK7) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(sK4) = host(sK7)
& host(sK6) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X7,X6] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X7) = host(X8)
& host(X6) = host(sK7)
& setIn(X7,alive)
& setIn(sK7,alive)
& host(X7) != host(sK7) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
=> ( ? [X8] :
( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X8) = host(sK9)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) )
& host(sK4) != host(sK9)
& host(sK6) = host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X8] :
( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4)))
& elem(m_Down(X8),sK2)
& host(X8) = host(sK9)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) )
=> ( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4)))
& elem(m_Down(sK10),sK2)
& host(sK9) = host(sK10)
& host(sK7) = host(sK8)
& setIn(sK9,alive)
& setIn(sK7,alive)
& host(sK7) != host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7] :
( ? [X8] :
( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X2)))
& elem(m_Down(X8),X0)
& host(X7) = host(X8)
& host(X5) = host(X6)
& setIn(X7,alive)
& setIn(X5,alive)
& host(X5) != host(X7) )
& host(X2) != host(X7)
& host(X4) = host(X7) )
& host(X2) = host(X5)
& host(X4) != host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X11) != host(X12)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X23] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),snoc(queue(host(X26)),m_Ldr(X2)))
& 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)
& host(X23) = host(X26) )
& host(X2) = host(X24)
& host(X23) != host(X24) )
& ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [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(X18) != host(X17)
| ~ 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,X1,X2,X3] :
( ? [X23] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),snoc(queue(host(X26)),m_Ldr(X2)))
& 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)
& host(X23) = host(X26) )
& host(X2) = host(X24)
& host(X23) != host(X24) )
& ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [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(X18) != host(X17)
| ~ 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,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,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(X18) != host(X17) )
& ! [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)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X23] :
( ( host(X3) = host(X23)
| setIn(host(X23),index(acks,host(X2))) )
=> ! [X24] :
( host(X23) != host(X24)
=> ( host(X2) = host(X24)
=> ! [X25,X26] :
( host(X23) = 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),snoc(queue(host(X26)),m_Ldr(X2)))
& elem(m_Down(X27),X0) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(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)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X6) != host(X16)
=> ( host(X4) = host(X16)
=> ! [X17,X18] :
( host(X6) = host(X18)
=> ( host(X4) != host(X18)
=> ! [X19] :
( ( host(X18) = host(X19)
& host(X16) = host(X17)
& setIn(X18,alive)
& setIn(X16,alive)
& host(X16) != host(X18) )
=> ~ ( elem(m_Down(X17),snoc(queue(host(X18)),m_Ldr(X4)))
& elem(m_Down(X19),X11) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(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)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X6) != host(X16)
=> ( host(X4) = host(X16)
=> ! [X17,X18] :
( host(X6) = host(X18)
=> ( host(X4) != host(X18)
=> ! [X19] :
( ( host(X18) = host(X19)
& host(X16) = host(X17)
& setIn(X18,alive)
& setIn(X16,alive)
& host(X16) != host(X18) )
=> ~ ( elem(m_Down(X17),snoc(queue(host(X18)),m_Ldr(X4)))
& elem(m_Down(X19),X11) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f861,plain,
spl14_103,
inference(avatar_split_clause,[],[f306,f859]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f857,plain,
spl14_102,
inference(avatar_split_clause,[],[f303,f855]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f853,plain,
spl14_101,
inference(avatar_split_clause,[],[f298,f851]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f849,plain,
spl14_100,
inference(avatar_split_clause,[],[f278,f847]) ).
fof(f278,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f845,plain,
spl14_99,
inference(avatar_split_clause,[],[f269,f843]) ).
fof(f269,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f841,plain,
spl14_98,
inference(avatar_split_clause,[],[f267,f839]) ).
fof(f267,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f837,plain,
spl14_97,
inference(avatar_split_clause,[],[f266,f835]) ).
fof(f266,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f833,plain,
spl14_96,
inference(avatar_split_clause,[],[f264,f831]) ).
fof(f264,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f829,plain,
spl14_95,
inference(avatar_split_clause,[],[f262,f827]) ).
fof(f827,plain,
( spl14_95
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
fof(f262,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f825,plain,
spl14_94,
inference(avatar_split_clause,[],[f260,f823]) ).
fof(f823,plain,
( spl14_94
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).
fof(f260,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,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/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f821,plain,
spl14_93,
inference(avatar_split_clause,[],[f258,f819]) ).
fof(f819,plain,
( spl14_93
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
fof(f258,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,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/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f817,plain,
spl14_92,
inference(avatar_split_clause,[],[f256,f815]) ).
fof(f815,plain,
( spl14_92
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
fof(f256,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[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/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f808,plain,
( spl14_90
| ~ spl14_91
| ~ spl14_20
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f759,f726,f436,f805,f801]) ).
fof(f805,plain,
( spl14_91
<=> ordered(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f759,plain,
( ~ ordered(queue(host(sK8)))
| ordered(sK2)
| ~ spl14_20
| ~ spl14_75 ),
inference(superposition,[],[f727,f438]) ).
fof(f792,plain,
spl14_89,
inference(avatar_split_clause,[],[f288,f790]) ).
fof(f288,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f788,plain,
spl14_88,
inference(avatar_split_clause,[],[f284,f786]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f784,plain,
spl14_87,
inference(avatar_split_clause,[],[f280,f782]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f780,plain,
spl14_86,
inference(avatar_split_clause,[],[f275,f778]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f776,plain,
spl14_85,
inference(avatar_split_clause,[],[f271,f774]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f772,plain,
spl14_84,
inference(avatar_split_clause,[],[f251,f770]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f768,plain,
spl14_83,
inference(avatar_split_clause,[],[f226,f766]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f764,plain,
( spl14_82
| ~ spl14_20
| ~ spl14_70 ),
inference(avatar_split_clause,[],[f754,f705,f436,f761]) ).
fof(f761,plain,
( spl14_82
<=> sK2 = tail(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f754,plain,
( sK2 = tail(queue(host(sK8)))
| ~ spl14_20
| ~ spl14_70 ),
inference(superposition,[],[f706,f438]) ).
fof(f752,plain,
spl14_81,
inference(avatar_split_clause,[],[f296,f750]) ).
fof(f750,plain,
( spl14_81
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f748,plain,
spl14_80,
inference(avatar_split_clause,[],[f295,f746]) ).
fof(f746,plain,
( spl14_80
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f744,plain,
spl14_79,
inference(avatar_split_clause,[],[f294,f742]) ).
fof(f742,plain,
( spl14_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f740,plain,
spl14_78,
inference(avatar_split_clause,[],[f293,f738]) ).
fof(f738,plain,
( spl14_78
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f736,plain,
spl14_77,
inference(avatar_split_clause,[],[f292,f734]) ).
fof(f734,plain,
( spl14_77
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f732,plain,
spl14_76,
inference(avatar_split_clause,[],[f283,f730]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f728,plain,
spl14_75,
inference(avatar_split_clause,[],[f274,f726]) ).
fof(f274,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f724,plain,
spl14_74,
inference(avatar_split_clause,[],[f250,f722]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f720,plain,
( ~ spl14_73
| ~ spl14_20
| ~ spl14_62 ),
inference(avatar_split_clause,[],[f698,f666,f436,f717]) ).
fof(f666,plain,
( spl14_62
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f698,plain,
( q_nil != queue(host(sK8))
| ~ spl14_20
| ~ spl14_62 ),
inference(superposition,[],[f667,f438]) ).
fof(f667,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl14_62 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f715,plain,
spl14_72,
inference(avatar_split_clause,[],[f249,f713]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f711,plain,
spl14_71,
inference(avatar_split_clause,[],[f248,f709]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f707,plain,
spl14_70,
inference(avatar_split_clause,[],[f247,f705]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f703,plain,
spl14_69,
inference(avatar_split_clause,[],[f246,f701]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f697,plain,
( ~ spl14_68
| ~ spl14_6
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f549,f527,f363,f694]) ).
fof(f694,plain,
( spl14_68
<=> elem(m_Down(sK9),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f549,plain,
( ~ elem(m_Down(sK9),queue(host(sK10)))
| ~ spl14_6
| ~ spl14_35 ),
inference(superposition,[],[f528,f365]) ).
fof(f688,plain,
spl14_67,
inference(avatar_split_clause,[],[f321,f686]) ).
fof(f321,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f684,plain,
spl14_66,
inference(avatar_split_clause,[],[f320,f682]) ).
fof(f320,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f680,plain,
spl14_65,
inference(avatar_split_clause,[],[f279,f678]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f676,plain,
spl14_64,
inference(avatar_split_clause,[],[f270,f674]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f672,plain,
spl14_63,
inference(avatar_split_clause,[],[f245,f670]) ).
fof(f670,plain,
( spl14_63
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f245,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f668,plain,
spl14_62,
inference(avatar_split_clause,[],[f244,f666]) ).
fof(f244,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f664,plain,
spl14_61,
inference(avatar_split_clause,[],[f243,f662]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f660,plain,
( ~ spl14_60
| ~ spl14_5
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f548,f527,f358,f657]) ).
fof(f548,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl14_5
| ~ spl14_35 ),
inference(superposition,[],[f528,f360]) ).
fof(f655,plain,
spl14_59,
inference(avatar_split_clause,[],[f242,f653]) ).
fof(f653,plain,
( spl14_59
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f651,plain,
spl14_58,
inference(avatar_split_clause,[],[f241,f649]) ).
fof(f649,plain,
( spl14_58
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f647,plain,
spl14_57,
inference(avatar_split_clause,[],[f240,f645]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f643,plain,
spl14_56,
inference(avatar_split_clause,[],[f239,f641]) ).
fof(f641,plain,
( spl14_56
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f639,plain,
spl14_55,
inference(avatar_split_clause,[],[f238,f637]) ).
fof(f637,plain,
( spl14_55
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f635,plain,
spl14_54,
inference(avatar_split_clause,[],[f237,f633]) ).
fof(f633,plain,
( spl14_54
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f631,plain,
spl14_53,
inference(avatar_split_clause,[],[f236,f629]) ).
fof(f629,plain,
( spl14_53
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f627,plain,
spl14_52,
inference(avatar_split_clause,[],[f235,f625]) ).
fof(f625,plain,
( spl14_52
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f623,plain,
spl14_51,
inference(avatar_split_clause,[],[f234,f621]) ).
fof(f621,plain,
( spl14_51
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f619,plain,
spl14_50,
inference(avatar_split_clause,[],[f225,f617]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f615,plain,
( ~ spl14_49
| ~ spl14_9
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f547,f527,f379,f612]) ).
fof(f612,plain,
( spl14_49
<=> elem(m_Down(sK6),queue(host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f547,plain,
( ~ elem(m_Down(sK6),queue(host(sK10)))
| ~ spl14_9
| ~ spl14_35 ),
inference(superposition,[],[f528,f381]) ).
fof(f610,plain,
spl14_48,
inference(avatar_split_clause,[],[f224,f608]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f606,plain,
spl14_47,
inference(avatar_split_clause,[],[f223,f604]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f598,plain,
spl14_46,
inference(avatar_split_clause,[],[f336,f596]) ).
fof(f336,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/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f594,plain,
spl14_45,
inference(avatar_split_clause,[],[f222,f592]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f590,plain,
spl14_44,
inference(avatar_split_clause,[],[f221,f588]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f586,plain,
spl14_43,
inference(avatar_split_clause,[],[f217,f583]) ).
fof(f217,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f581,plain,
( ~ spl14_42
| ~ spl14_10
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f546,f527,f384,f578]) ).
fof(f546,plain,
( ~ elem(m_Down(sK4),queue(host(sK8)))
| ~ spl14_10
| ~ spl14_35 ),
inference(superposition,[],[f528,f386]) ).
fof(f557,plain,
spl14_41,
inference(avatar_split_clause,[],[f189,f555]) ).
fof(f189,plain,
! [X14,X13] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 ),
inference(cnf_transformation,[],[f152]) ).
fof(f553,plain,
spl14_40,
inference(avatar_split_clause,[],[f188,f551]) ).
fof(f188,plain,
! [X16,X15] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f545,plain,
spl14_39,
inference(avatar_split_clause,[],[f310,f543]) ).
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,[],[f156]) ).
fof(f541,plain,
spl14_38,
inference(avatar_split_clause,[],[f309,f539]) ).
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,[],[f156]) ).
fof(f537,plain,
spl14_37,
inference(avatar_split_clause,[],[f220,f535]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f533,plain,
spl14_36,
inference(avatar_split_clause,[],[f219,f531]) ).
fof(f531,plain,
( spl14_36
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f529,plain,
( spl14_35
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f465,f450,f527]) ).
fof(f465,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl14_22 ),
inference(equality_resolution,[],[f451]) ).
fof(f525,plain,
spl14_34,
inference(avatar_split_clause,[],[f218,f523]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f521,plain,
~ spl14_33,
inference(avatar_split_clause,[],[f216,f518]) ).
fof(f518,plain,
( spl14_33
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f216,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f516,plain,
~ spl14_32,
inference(avatar_split_clause,[],[f215,f513]) ).
fof(f513,plain,
( spl14_32
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f215,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f511,plain,
~ spl14_31,
inference(avatar_split_clause,[],[f214,f508]) ).
fof(f508,plain,
( spl14_31
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f214,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f506,plain,
~ spl14_30,
inference(avatar_split_clause,[],[f213,f503]) ).
fof(f503,plain,
( spl14_30
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f213,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
fof(f501,plain,
~ spl14_29,
inference(avatar_split_clause,[],[f212,f498]) ).
fof(f498,plain,
( spl14_29
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f212,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f496,plain,
~ spl14_28,
inference(avatar_split_clause,[],[f211,f493]) ).
fof(f493,plain,
( spl14_28
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f211,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f491,plain,
~ spl14_27,
inference(avatar_split_clause,[],[f210,f488]) ).
fof(f488,plain,
( spl14_27
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f210,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f482,plain,
( spl14_25
| spl14_26 ),
inference(avatar_split_clause,[],[f330,f479,f475]) ).
fof(f479,plain,
( spl14_26
<=> setIn(host(sK10),index(acks,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f330,plain,
( setIn(host(sK10),index(acks,host(sK8)))
| host(sK5) = host(sK10) ),
inference(forward_demodulation,[],[f329,f325]) ).
fof(f325,plain,
host(sK6) = host(sK10),
inference(forward_demodulation,[],[f200,f206]) ).
fof(f206,plain,
host(sK9) = host(sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f200,plain,
host(sK6) = host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f329,plain,
( setIn(host(sK6),index(acks,host(sK8)))
| host(sK5) = host(sK10) ),
inference(forward_demodulation,[],[f328,f326]) ).
fof(f326,plain,
host(sK4) = host(sK8),
inference(forward_demodulation,[],[f199,f205]) ).
fof(f205,plain,
host(sK7) = host(sK8),
inference(cnf_transformation,[],[f152]) ).
fof(f199,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f328,plain,
( host(sK5) = host(sK10)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(forward_demodulation,[],[f197,f325]) ).
fof(f197,plain,
( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f473,plain,
spl14_24,
inference(avatar_split_clause,[],[f187,f471]) ).
fof(f187,plain,
! [X18,X19,X17] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f456,plain,
spl14_23,
inference(avatar_split_clause,[],[f186,f454]) ).
fof(f186,plain,
! [X21,X20] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f452,plain,
spl14_22,
inference(avatar_split_clause,[],[f185,f450]) ).
fof(f185,plain,
! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f448,plain,
( spl14_21
| ~ spl14_6
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f434,f430,f363,f445]) ).
fof(f430,plain,
( spl14_19
<=> elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f434,plain,
( elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
| ~ spl14_6
| ~ spl14_19 ),
inference(forward_demodulation,[],[f432,f365]) ).
fof(f432,plain,
( elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4)))
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f439,plain,
spl14_20,
inference(avatar_split_clause,[],[f335,f436]) ).
fof(f335,plain,
cons(m_Ack(sK3,sK5),sK2) = queue(host(sK8)),
inference(forward_demodulation,[],[f191,f326]) ).
fof(f191,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f433,plain,
spl14_19,
inference(avatar_split_clause,[],[f208,f430]) ).
fof(f208,plain,
elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f428,plain,
spl14_18,
inference(avatar_split_clause,[],[f184,f426]) ).
fof(f184,plain,
! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f424,plain,
spl14_17,
inference(avatar_split_clause,[],[f209,f421]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f419,plain,
spl14_16,
inference(avatar_split_clause,[],[f332,f416]) ).
fof(f416,plain,
( spl14_16
<=> host(sK5) = index(pendack,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f332,plain,
host(sK5) = index(pendack,host(sK8)),
inference(forward_demodulation,[],[f195,f326]) ).
fof(f195,plain,
host(sK5) = index(pendack,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f414,plain,
spl14_15,
inference(avatar_split_clause,[],[f334,f411]) ).
fof(f411,plain,
( spl14_15
<=> sK3 = index(elid,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f334,plain,
sK3 = index(elid,host(sK8)),
inference(forward_demodulation,[],[f193,f326]) ).
fof(f193,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f409,plain,
spl14_14,
inference(avatar_split_clause,[],[f333,f406]) ).
fof(f406,plain,
( spl14_14
<=> elec_2 = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f333,plain,
elec_2 = index(status,host(sK8)),
inference(forward_demodulation,[],[f194,f326]) ).
fof(f194,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f404,plain,
( spl14_13
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f399,f395,f401]) ).
fof(f395,plain,
( spl14_12
<=> leq(nbr_proc,index(pendack,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f399,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_12 ),
inference(forward_demodulation,[],[f397,f332]) ).
fof(f397,plain,
( leq(nbr_proc,index(pendack,host(sK8)))
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,plain,
spl14_12,
inference(avatar_split_clause,[],[f331,f395]) ).
fof(f331,plain,
leq(nbr_proc,index(pendack,host(sK8))),
inference(forward_demodulation,[],[f196,f326]) ).
fof(f196,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f392,plain,
~ spl14_11,
inference(avatar_split_clause,[],[f327,f389]) ).
fof(f389,plain,
( spl14_11
<=> host(sK6) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f327,plain,
host(sK6) != host(sK8),
inference(forward_demodulation,[],[f198,f205]) ).
fof(f198,plain,
host(sK6) != host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f387,plain,
spl14_10,
inference(avatar_split_clause,[],[f326,f384]) ).
fof(f382,plain,
spl14_9,
inference(avatar_split_clause,[],[f325,f379]) ).
fof(f376,plain,
~ spl14_8,
inference(avatar_split_clause,[],[f324,f373]) ).
fof(f373,plain,
( spl14_8
<=> host(sK4) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f324,plain,
host(sK4) != host(sK10),
inference(forward_demodulation,[],[f201,f206]) ).
fof(f201,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f371,plain,
~ spl14_7,
inference(avatar_split_clause,[],[f323,f368]) ).
fof(f323,plain,
host(sK8) != host(sK10),
inference(forward_demodulation,[],[f322,f205]) ).
fof(f322,plain,
host(sK7) != host(sK10),
inference(forward_demodulation,[],[f202,f206]) ).
fof(f202,plain,
host(sK7) != host(sK9),
inference(cnf_transformation,[],[f152]) ).
fof(f366,plain,
spl14_6,
inference(avatar_split_clause,[],[f206,f363]) ).
fof(f361,plain,
spl14_5,
inference(avatar_split_clause,[],[f205,f358]) ).
fof(f356,plain,
spl14_4,
inference(avatar_split_clause,[],[f207,f353]) ).
fof(f207,plain,
elem(m_Down(sK10),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f351,plain,
spl14_3,
inference(avatar_split_clause,[],[f204,f348]) ).
fof(f204,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f346,plain,
spl14_2,
inference(avatar_split_clause,[],[f203,f343]) ).
fof(f203,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f341,plain,
spl14_1,
inference(avatar_split_clause,[],[f192,f338]) ).
fof(f192,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV450+1 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun May 19 08:27:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (27484)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31 % (27485)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (27487)WARNING: value z3 for option sas not known
% 0.15/0.32 % (27487)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (27486)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (27488)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (27490)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32 % (27491)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32 % (27489)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.33 Detected minimum model sizes of [4]
% 0.15/0.33 Detected maximum model sizes of [max]
% 0.15/0.33 TRYING [4]
% 0.15/0.34 Detected minimum model sizes of [4]
% 0.15/0.34 Detected maximum model sizes of [max]
% 0.15/0.34 TRYING [4]
% 0.15/0.36 TRYING [5]
% 0.15/0.42 TRYING [6]
% 0.15/0.50 TRYING [5]
% 0.15/0.54 TRYING [7]
% 2.94/0.76 TRYING [8]
% 3.35/0.81 % (27489)First to succeed.
% 3.35/0.83 % (27489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27484"
% 3.35/0.84 % (27489)Refutation found. Thanks to Tanya!
% 3.35/0.84 % SZS status Theorem for theBenchmark
% 3.35/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/0.85 % (27489)------------------------------
% 3.35/0.85 % (27489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.35/0.85 % (27489)Termination reason: Refutation
% 3.35/0.85
% 3.35/0.85 % (27489)Memory used [KB]: 5683
% 3.35/0.85 % (27489)Time elapsed: 0.517 s
% 3.35/0.85 % (27489)Instructions burned: 1090 (million)
% 3.35/0.85 % (27484)Success in time 0.546 s
%------------------------------------------------------------------------------